hyperreal 0.11.1

# Hyperreal Dispatch Trace

Generated by running `cargo bench --bench dispatch_trace --features dispatch-trace`. This runner samples dispatch paths directly and does not execute Criterion timing loops or update `benchmarks.md`. Pass row-name substrings after `--` to trace a subset, for example `cargo bench --bench dispatch_trace --features dispatch-trace -- computable/trig_adversarial/sin_1e30`.

| Trace Row | Layer | Operation | Path | Count |
| --- | --- | --- | --- | ---: |
| `computable/basic_transcendentals` | `computable` | `constructor` | `rational-node` | 11 |
| `computable/basic_transcendentals` | `computable` | `constructor` | `shared-constant-wrapper` | 2 |
| `computable/basic_transcendentals` | `computable` | `exp` | `structural-small-prescaled` | 1 |
| `computable/basic_transcendentals` | `computable` | `ln` | `dyadic-scale-rewrite` | 2 |
| `computable/basic_transcendentals` | `computable` | `ln` | `prescaled-ln1p-kernel` | 1 |
| `computable/basic_transcendentals` | `computable` | `ln` | `sqrt-range-reduction` | 1 |
| `computable/basic_transcendentals` | `computable` | `sqrt` | `generic-sqrt-node` | 3 |
| `computable/compare/exact_msd_gap` | `computable` | `compare_to` | `exact-sign-msd-gap` | 3 |
| `computable/compare/exact_msd_gap` | `computable` | `constructor` | `cached-pi` | 1 |
| `computable/compare/exact_msd_gap` | `computable` | `constructor` | `rational-node` | 1 |
| `computable/compare/exact_msd_gap` | `computable` | `constructor` | `shared-constant-wrapper` | 1 |
| `computable/compare/exact_rational` | `computable` | `compare_to` | `exact-rational` | 3 |
| `computable/compare/exact_rational` | `computable` | `constructor` | `rational-node` | 2 |
| `computable/compare/opposite_sign` | `computable` | `compare_to` | `exact-sign-opposite` | 2 |
| `computable/compare/opposite_sign` | `computable` | `constructor` | `cached-pi` | 2 |
| `computable/compare/opposite_sign` | `computable` | `constructor` | `shared-constant-wrapper` | 2 |
| `computable/compare_absolute/dominant_add` | `computable` | `compare_absolute` | `dominant-perturbation-other` | 1 |
| `computable/compare_absolute/dominant_add` | `computable` | `compare_absolute` | `dominant-perturbation-self` | 1 |
| `computable/compare_absolute/dominant_add` | `computable` | `constructor` | `cached-pi` | 3 |
| `computable/compare_absolute/dominant_add` | `computable` | `constructor` | `rational-node` | 1 |
| `computable/compare_absolute/dominant_add` | `computable` | `constructor` | `shared-constant-wrapper` | 3 |
| `computable/compare_absolute/exact_msd_gap` | `computable` | `compare_absolute` | `exact-sign-msd-gap` | 2 |
| `computable/compare_absolute/exact_msd_gap` | `computable` | `constructor` | `cached-pi` | 1 |
| `computable/compare_absolute/exact_msd_gap` | `computable` | `constructor` | `rational-node` | 1 |
| `computable/compare_absolute/exact_msd_gap` | `computable` | `constructor` | `shared-constant-wrapper` | 1 |
| `computable/compare_absolute/exact_rational` | `computable` | `compare_absolute` | `exact-rational` | 3 |
| `computable/compare_absolute/exact_rational` | `computable` | `constructor` | `rational-node` | 2 |
| `computable/compare_absolute/exact_rational_same_numerator` | `computable` | `compare_absolute` | `exact-rational` | 2 |
| `computable/compare_absolute/exact_rational_same_numerator` | `computable` | `constructor` | `rational-node` | 2 |
| `computable/constants` | `computable` | `constructor` | `cached-e` | 1 |
| `computable/constants` | `computable` | `constructor` | `cached-e-internal` | 1 |
| `computable/constants` | `computable` | `constructor` | `cached-pi` | 1 |
| `computable/constants` | `computable` | `constructor` | `cached-tau` | 1 |
| `computable/constants` | `computable` | `constructor` | `shared-constant-wrapper` | 3 |
| `computable/exp_cached_probe` | `computable` | `constructor` | `rational-node` | 1 |
| `computable/exp_cached_probe` | `computable` | `exp` | `structural-small-prescaled` | 1 |
| `computable/exp_large_rational` | `computable` | `constructor` | `rational-node` | 8 |
| `computable/exp_large_rational` | `computable` | `constructor` | `shared-constant-wrapper` | 1 |
| `computable/exp_large_rational` | `computable` | `exp` | `ln2-range-reduction` | 1 |
| `computable/exp_large_rational` | `computable` | `exp` | `structural-large-range-reduction` | 1 |
| `computable/inverse_hyperbolic_adversarial/acosh_large` | `computable` | `acosh` | `exact-large-direct-ln-sqrt` | 1 |
| `computable/inverse_hyperbolic_adversarial/acosh_large` | `computable` | `constructor` | `one` | 1 |
| `computable/inverse_hyperbolic_adversarial/acosh_large` | `computable` | `constructor` | `rational-node` | 3 |
| `computable/inverse_hyperbolic_adversarial/acosh_large` | `computable` | `constructor` | `shared-constant-wrapper` | 1 |
| `computable/inverse_hyperbolic_adversarial/acosh_large` | `computable` | `ln` | `binary-scale-reduction` | 1 |
| `computable/inverse_hyperbolic_adversarial/acosh_large` | `computable` | `ln` | `prescaled-ln1p-kernel` | 1 |
| `computable/inverse_hyperbolic_adversarial/acosh_large` | `computable` | `sqrt` | `generic-sqrt-node` | 1 |
| `computable/inverse_hyperbolic_adversarial/acosh_one_plus_tiny` | `computable` | `acosh` | `near-one-ln1p-transform` | 1 |
| `computable/inverse_hyperbolic_adversarial/acosh_one_plus_tiny` | `computable` | `constructor` | `one` | 1 |
| `computable/inverse_hyperbolic_adversarial/acosh_one_plus_tiny` | `computable` | `constructor` | `rational-node` | 5 |
| `computable/inverse_hyperbolic_adversarial/acosh_one_plus_tiny` | `computable` | `sqrt` | `generic-sqrt-node` | 1 |
| `computable/inverse_hyperbolic_adversarial/acosh_sqrt_two` | `computable` | `acosh` | `near-one-ln1p-transform` | 1 |
| `computable/inverse_hyperbolic_adversarial/acosh_sqrt_two` | `computable` | `constructor` | `one` | 3 |
| `computable/inverse_hyperbolic_adversarial/acosh_sqrt_two` | `computable` | `constructor` | `rational-node` | 2 |
| `computable/inverse_hyperbolic_adversarial/acosh_sqrt_two` | `computable` | `constructor` | `rational-one-canonicalized` | 2 |
| `computable/inverse_hyperbolic_adversarial/acosh_sqrt_two` | `computable` | `sqrt` | `exact-rational-square` | 1 |
| `computable/inverse_hyperbolic_adversarial/acosh_two` | `computable` | `acosh` | `near-one-ln1p-transform` | 1 |
| `computable/inverse_hyperbolic_adversarial/acosh_two` | `computable` | `constructor` | `one` | 2 |
| `computable/inverse_hyperbolic_adversarial/acosh_two` | `computable` | `constructor` | `rational-node` | 4 |
| `computable/inverse_hyperbolic_adversarial/acosh_two` | `computable` | `constructor` | `rational-one-canonicalized` | 1 |
| `computable/inverse_hyperbolic_adversarial/acosh_two` | `computable` | `sqrt` | `generic-sqrt-node` | 1 |
| `computable/inverse_hyperbolic_adversarial/asinh_large` | `computable` | `asinh` | `exact-large-direct-ln-sqrt` | 1 |
| `computable/inverse_hyperbolic_adversarial/asinh_large` | `computable` | `constructor` | `one` | 1 |
| `computable/inverse_hyperbolic_adversarial/asinh_large` | `computable` | `constructor` | `rational-node` | 2 |
| `computable/inverse_hyperbolic_adversarial/asinh_large` | `computable` | `constructor` | `shared-constant-wrapper` | 1 |
| `computable/inverse_hyperbolic_adversarial/asinh_large` | `computable` | `ln` | `binary-scale-reduction` | 1 |
| `computable/inverse_hyperbolic_adversarial/asinh_large` | `computable` | `ln` | `prescaled-ln1p-kernel` | 1 |
| `computable/inverse_hyperbolic_adversarial/asinh_large` | `computable` | `sqrt` | `generic-sqrt-node` | 1 |
| `computable/inverse_hyperbolic_adversarial/asinh_large_negative` | `computable` | `asinh` | `exact-large-direct-ln-sqrt` | 1 |
| `computable/inverse_hyperbolic_adversarial/asinh_large_negative` | `computable` | `asinh` | `known-negative-symmetry` | 1 |
| `computable/inverse_hyperbolic_adversarial/asinh_large_negative` | `computable` | `constructor` | `one` | 1 |
| `computable/inverse_hyperbolic_adversarial/asinh_large_negative` | `computable` | `constructor` | `rational-node` | 3 |
| `computable/inverse_hyperbolic_adversarial/asinh_large_negative` | `computable` | `constructor` | `shared-constant-wrapper` | 1 |
| `computable/inverse_hyperbolic_adversarial/asinh_large_negative` | `computable` | `ln` | `binary-scale-reduction` | 1 |
| `computable/inverse_hyperbolic_adversarial/asinh_large_negative` | `computable` | `ln` | `prescaled-ln1p-kernel` | 1 |
| `computable/inverse_hyperbolic_adversarial/asinh_large_negative` | `computable` | `sqrt` | `generic-sqrt-node` | 1 |
| `computable/inverse_hyperbolic_adversarial/asinh_mid` | `computable` | `asinh` | `near-zero-ln1p-transform` | 1 |
| `computable/inverse_hyperbolic_adversarial/asinh_mid` | `computable` | `constructor` | `one` | 1 |
| `computable/inverse_hyperbolic_adversarial/asinh_mid` | `computable` | `constructor` | `rational-node` | 2 |
| `computable/inverse_hyperbolic_adversarial/asinh_mid` | `computable` | `sqrt` | `generic-sqrt-node` | 1 |
| `computable/inverse_hyperbolic_adversarial/asinh_tiny` | `computable` | `asinh` | `exact-tiny-prescaled` | 1 |
| `computable/inverse_hyperbolic_adversarial/asinh_tiny` | `computable` | `constructor` | `asinh-rational-deferred` | 1 |
| `computable/inverse_hyperbolic_adversarial/atanh_mid` | `computable` | `atanh` | `exact-log-ratio` | 1 |
| `computable/inverse_hyperbolic_adversarial/atanh_mid` | `computable` | `constructor` | `rational-node` | 1 |
| `computable/inverse_hyperbolic_adversarial/atanh_mid` | `computable` | `constructor` | `shared-constant-wrapper` | 1 |
| `computable/inverse_hyperbolic_adversarial/atanh_mid` | `computable` | `constructor` | `shared-log-constant-probe` | 1 |
| `computable/inverse_hyperbolic_adversarial/atanh_mid` | `computable` | `ln` | `shared-ln3` | 1 |
| `computable/inverse_hyperbolic_adversarial/atanh_near_minus_one` | `computable` | `atanh` | `exact-log-ratio` | 1 |
| `computable/inverse_hyperbolic_adversarial/atanh_near_minus_one` | `computable` | `atanh` | `exact-negative-symmetry` | 1 |
| `computable/inverse_hyperbolic_adversarial/atanh_near_minus_one` | `computable` | `constructor` | `rational-node` | 3 |
| `computable/inverse_hyperbolic_adversarial/atanh_near_minus_one` | `computable` | `constructor` | `shared-constant-wrapper` | 1 |
| `computable/inverse_hyperbolic_adversarial/atanh_near_minus_one` | `computable` | `ln` | `binary-scale-reduction` | 1 |
| `computable/inverse_hyperbolic_adversarial/atanh_near_minus_one` | `computable` | `ln` | `exact-rational-generic` | 1 |
| `computable/inverse_hyperbolic_adversarial/atanh_near_minus_one` | `computable` | `ln` | `prescaled-ln1p-kernel` | 1 |
| `computable/inverse_hyperbolic_adversarial/atanh_near_one` | `computable` | `atanh` | `exact-log-ratio` | 1 |
| `computable/inverse_hyperbolic_adversarial/atanh_near_one` | `computable` | `constructor` | `rational-node` | 2 |
| `computable/inverse_hyperbolic_adversarial/atanh_near_one` | `computable` | `constructor` | `shared-constant-wrapper` | 1 |
| `computable/inverse_hyperbolic_adversarial/atanh_near_one` | `computable` | `ln` | `binary-scale-reduction` | 1 |
| `computable/inverse_hyperbolic_adversarial/atanh_near_one` | `computable` | `ln` | `exact-rational-generic` | 1 |
| `computable/inverse_hyperbolic_adversarial/atanh_near_one` | `computable` | `ln` | `prescaled-ln1p-kernel` | 1 |
| `computable/inverse_hyperbolic_adversarial/atanh_tiny` | `computable` | `atanh` | `exact-tiny-prescaled` | 1 |
| `computable/inverse_hyperbolic_adversarial/atanh_tiny` | `computable` | `constructor` | `atanh-rational-deferred` | 1 |
| `computable/inverse_trig` | `computable` | `acos` | `tiny-via-asin` | 1 |
| `computable/inverse_trig` | `computable` | `asin` | `exact-tiny-rational-series` | 2 |
| `computable/inverse_trig` | `computable` | `atanh` | `exact-tiny-prescaled` | 1 |
| `computable/inverse_trig` | `computable` | `constructor` | `asin-rational-deferred` | 2 |
| `computable/inverse_trig` | `computable` | `constructor` | `atanh-rational-deferred` | 1 |
| `computable/inverse_trig` | `computable` | `constructor` | `cached-pi` | 1 |
| `computable/inverse_trig` | `computable` | `constructor` | `rational-node` | 1 |
| `computable/inverse_trig` | `computable` | `constructor` | `shared-constant-wrapper` | 1 |
| `computable/inverse_trig/mid-domain` | `computable` | `acos` | `positive-endpoint-deferred` | 1 |
| `computable/inverse_trig/mid-domain` | `computable` | `asin` | `generic-atan-sqrt-transform` | 1 |
| `computable/inverse_trig/mid-domain` | `computable` | `atan` | `exact-rational-deferred` | 1 |
| `computable/inverse_trig/mid-domain` | `computable` | `atan` | `rough-small-prescaled` | 2 |
| `computable/inverse_trig/mid-domain` | `computable` | `atanh` | `exact-log-ratio` | 1 |
| `computable/inverse_trig/mid-domain` | `computable` | `constructor` | `acos-positive-deferred` | 1 |
| `computable/inverse_trig/mid-domain` | `computable` | `constructor` | `atan-rational-deferred` | 1 |
| `computable/inverse_trig/mid-domain` | `computable` | `constructor` | `one` | 2 |
| `computable/inverse_trig/mid-domain` | `computable` | `constructor` | `rational-node` | 14 |
| `computable/inverse_trig/mid-domain` | `computable` | `constructor` | `shared-constant-wrapper` | 1 |
| `computable/inverse_trig/mid-domain` | `computable` | `ln` | `binary-scale-reduction` | 1 |
| `computable/inverse_trig/mid-domain` | `computable` | `ln` | `exact-rational-generic` | 1 |
| `computable/inverse_trig/mid-domain` | `computable` | `ln` | `prescaled-ln1p-kernel` | 1 |
| `computable/inverse_trig/mid-domain` | `computable` | `sqrt` | `generic-sqrt-node` | 2 |
| `computable/inverse_trig/mid-domain` | `computable_approx` | `atan` | `exact-rational-reduction` | 1 |
| `computable/inverse_trig_adversarial/acos_mid` | `computable` | `acos` | `positive-endpoint-deferred` | 1 |
| `computable/inverse_trig_adversarial/acos_mid` | `computable` | `atan` | `rough-small-prescaled` | 1 |
| `computable/inverse_trig_adversarial/acos_mid` | `computable` | `constructor` | `acos-positive-deferred` | 1 |
| `computable/inverse_trig_adversarial/acos_mid` | `computable` | `constructor` | `one` | 1 |
| `computable/inverse_trig_adversarial/acos_mid` | `computable` | `constructor` | `rational-node` | 5 |
| `computable/inverse_trig_adversarial/acos_mid` | `computable` | `sqrt` | `generic-sqrt-node` | 1 |
| `computable/inverse_trig_adversarial/acos_near_minus_one` | `computable` | `acos` | `negative-endpoint-rewrite` | 1 |
| `computable/inverse_trig_adversarial/acos_near_minus_one` | `computable` | `acos` | `positive-endpoint-deferred` | 1 |
| `computable/inverse_trig_adversarial/acos_near_minus_one` | `computable` | `atan` | `structural-small-prescaled` | 1 |
| `computable/inverse_trig_adversarial/acos_near_minus_one` | `computable` | `constructor` | `acos-positive-deferred` | 1 |
| `computable/inverse_trig_adversarial/acos_near_minus_one` | `computable` | `constructor` | `cached-pi` | 1 |
| `computable/inverse_trig_adversarial/acos_near_minus_one` | `computable` | `constructor` | `one` | 1 |
| `computable/inverse_trig_adversarial/acos_near_minus_one` | `computable` | `constructor` | `rational-node` | 6 |
| `computable/inverse_trig_adversarial/acos_near_minus_one` | `computable` | `constructor` | `shared-constant-wrapper` | 1 |
| `computable/inverse_trig_adversarial/acos_near_minus_one` | `computable` | `sqrt` | `generic-sqrt-node` | 1 |
| `computable/inverse_trig_adversarial/acos_near_one` | `computable` | `acos` | `positive-endpoint-deferred` | 1 |
| `computable/inverse_trig_adversarial/acos_near_one` | `computable` | `atan` | `structural-small-prescaled` | 1 |
| `computable/inverse_trig_adversarial/acos_near_one` | `computable` | `constructor` | `acos-positive-deferred` | 1 |
| `computable/inverse_trig_adversarial/acos_near_one` | `computable` | `constructor` | `one` | 1 |
| `computable/inverse_trig_adversarial/acos_near_one` | `computable` | `constructor` | `rational-node` | 5 |
| `computable/inverse_trig_adversarial/acos_near_one` | `computable` | `sqrt` | `generic-sqrt-node` | 1 |
| `computable/inverse_trig_adversarial/acos_tiny` | `computable` | `acos` | `tiny-via-asin` | 1 |
| `computable/inverse_trig_adversarial/acos_tiny` | `computable` | `asin` | `exact-tiny-rational-series` | 1 |
| `computable/inverse_trig_adversarial/acos_tiny` | `computable` | `constructor` | `asin-rational-deferred` | 1 |
| `computable/inverse_trig_adversarial/acos_tiny` | `computable` | `constructor` | `cached-pi` | 1 |
| `computable/inverse_trig_adversarial/acos_tiny` | `computable` | `constructor` | `shared-constant-wrapper` | 1 |
| `computable/inverse_trig_adversarial/acos_zero` | `computable` | `acos` | `exact-zero-half-pi` | 1 |
| `computable/inverse_trig_adversarial/acos_zero` | `computable` | `constructor` | `cached-pi` | 1 |
| `computable/inverse_trig_adversarial/acos_zero` | `computable` | `constructor` | `shared-constant-wrapper` | 1 |
| `computable/inverse_trig_adversarial/asin_mid` | `computable` | `asin` | `generic-atan-sqrt-transform` | 1 |
| `computable/inverse_trig_adversarial/asin_mid` | `computable` | `atan` | `rough-small-prescaled` | 1 |
| `computable/inverse_trig_adversarial/asin_mid` | `computable` | `constructor` | `one` | 1 |
| `computable/inverse_trig_adversarial/asin_mid` | `computable` | `constructor` | `rational-node` | 3 |
| `computable/inverse_trig_adversarial/asin_mid` | `computable` | `sqrt` | `generic-sqrt-node` | 1 |
| `computable/inverse_trig_adversarial/asin_near_minus_one` | `computable` | `acos` | `positive-endpoint-deferred` | 1 |
| `computable/inverse_trig_adversarial/asin_near_minus_one` | `computable` | `asin` | `endpoint-via-acos` | 1 |
| `computable/inverse_trig_adversarial/asin_near_minus_one` | `computable` | `asin` | `exact-negative-symmetry` | 1 |
| `computable/inverse_trig_adversarial/asin_near_minus_one` | `computable` | `atan` | `structural-small-prescaled` | 1 |
| `computable/inverse_trig_adversarial/asin_near_minus_one` | `computable` | `constructor` | `acos-positive-deferred` | 1 |
| `computable/inverse_trig_adversarial/asin_near_minus_one` | `computable` | `constructor` | `cached-pi` | 1 |
| `computable/inverse_trig_adversarial/asin_near_minus_one` | `computable` | `constructor` | `one` | 1 |
| `computable/inverse_trig_adversarial/asin_near_minus_one` | `computable` | `constructor` | `rational-node` | 6 |
| `computable/inverse_trig_adversarial/asin_near_minus_one` | `computable` | `constructor` | `shared-constant-wrapper` | 1 |
| `computable/inverse_trig_adversarial/asin_near_minus_one` | `computable` | `sqrt` | `generic-sqrt-node` | 1 |
| `computable/inverse_trig_adversarial/asin_near_one` | `computable` | `acos` | `positive-endpoint-deferred` | 1 |
| `computable/inverse_trig_adversarial/asin_near_one` | `computable` | `asin` | `endpoint-via-acos` | 1 |
| `computable/inverse_trig_adversarial/asin_near_one` | `computable` | `atan` | `structural-small-prescaled` | 1 |
| `computable/inverse_trig_adversarial/asin_near_one` | `computable` | `constructor` | `acos-positive-deferred` | 1 |
| `computable/inverse_trig_adversarial/asin_near_one` | `computable` | `constructor` | `cached-pi` | 1 |
| `computable/inverse_trig_adversarial/asin_near_one` | `computable` | `constructor` | `one` | 1 |
| `computable/inverse_trig_adversarial/asin_near_one` | `computable` | `constructor` | `rational-node` | 5 |
| `computable/inverse_trig_adversarial/asin_near_one` | `computable` | `constructor` | `shared-constant-wrapper` | 1 |
| `computable/inverse_trig_adversarial/asin_near_one` | `computable` | `sqrt` | `generic-sqrt-node` | 1 |
| `computable/inverse_trig_adversarial/asin_tiny` | `computable` | `asin` | `exact-tiny-rational-series` | 1 |
| `computable/inverse_trig_adversarial/asin_tiny` | `computable` | `constructor` | `asin-rational-deferred` | 1 |
| `computable/inverse_trig_adversarial/asin_zero` | `computable` | `asin` | `exact-zero` | 1 |
| `computable/inverse_trig_adversarial/asin_zero` | `computable` | `constructor` | `zero` | 1 |
| `computable/inverse_trig_adversarial/atan_huge` | `computable` | `atan` | `exact-rational-deferred` | 1 |
| `computable/inverse_trig_adversarial/atan_huge` | `computable` | `constructor` | `atan-rational-deferred` | 1 |
| `computable/inverse_trig_adversarial/atan_huge` | `computable` | `constructor` | `cached-pi` | 1 |
| `computable/inverse_trig_adversarial/atan_huge` | `computable` | `constructor` | `shared-constant-wrapper` | 1 |
| `computable/inverse_trig_adversarial/atan_huge` | `computable_approx` | `atan` | `exact-rational-reduction` | 2 |
| `computable/inverse_trig_adversarial/atan_large` | `computable` | `atan` | `exact-rational-deferred` | 1 |
| `computable/inverse_trig_adversarial/atan_large` | `computable` | `constructor` | `atan-rational-deferred` | 1 |
| `computable/inverse_trig_adversarial/atan_large` | `computable` | `constructor` | `cached-pi` | 1 |
| `computable/inverse_trig_adversarial/atan_large` | `computable` | `constructor` | `shared-constant-wrapper` | 1 |
| `computable/inverse_trig_adversarial/atan_large` | `computable_approx` | `atan` | `exact-rational-reduction` | 2 |
| `computable/inverse_trig_adversarial/atan_mid` | `computable` | `atan` | `exact-rational-deferred` | 1 |
| `computable/inverse_trig_adversarial/atan_mid` | `computable` | `constructor` | `atan-rational-deferred` | 1 |
| `computable/inverse_trig_adversarial/atan_mid` | `computable_approx` | `atan` | `exact-rational-reduction` | 1 |
| `computable/inverse_trig_adversarial/atan_tiny` | `computable` | `atan` | `exact-rational-deferred` | 1 |
| `computable/inverse_trig_adversarial/atan_tiny` | `computable` | `constructor` | `atan-rational-deferred` | 1 |
| `computable/inverse_trig_adversarial/atan_tiny` | `computable_approx` | `atan` | `exact-rational-reduction` | 1 |
| `computable/inverse_trig_adversarial/atan_zero` | `computable` | `atan` | `exact-zero` | 1 |
| `computable/inverse_trig_adversarial/atan_zero` | `computable` | `constructor` | `zero` | 1 |
| `computable/ln_nonsmooth_rational` | `computable` | `constructor` | `rational-node` | 2 |
| `computable/ln_nonsmooth_rational` | `computable` | `ln` | `prescaled-ln1p-kernel` | 1 |
| `computable/ln_smooth_rational` | `computable` | `constructor` | `one` | 2 |
| `computable/ln_smooth_rational` | `computable` | `constructor` | `rational-node` | 4 |
| `computable/ln_smooth_rational` | `computable` | `constructor` | `shared-constant-wrapper` | 6 |
| `computable/ln_smooth_rational` | `computable` | `constructor` | `shared-log-constant-probe` | 3 |
| `computable/ln_smooth_rational` | `computable` | `constructor` | `zero` | 1 |
| `computable/ln_smooth_rational` | `computable` | `ln` | `binary-scale-reduction` | 2 |
| `computable/ln_smooth_rational` | `computable` | `ln` | `dyadic-scale-rewrite` | 1 |
| `computable/ln_smooth_rational` | `computable` | `ln` | `prescaled-ln1p-kernel` | 3 |
| `computable/ln_smooth_rational` | `computable` | `ln` | `smooth-rational-shared-log-sum` | 1 |
| `computable/ln_smooth_rational` | `computable` | `ln` | `sqrt-range-reduction` | 1 |
| `computable/ln_smooth_rational` | `computable` | `sqrt` | `generic-sqrt-node` | 2 |
| `computable/sign/deep_half_product_sign_cached` | `computable` | `sign` | `exact-sign-cache` | 1 |
| `computable/sign/deep_scaled_product_sign` | `computable` | `constructor` | `cached-pi` | 1 |
| `computable/sign/deep_scaled_product_sign` | `computable` | `constructor` | `rational-node` | 200 |
| `computable/sign/deep_scaled_product_sign` | `computable` | `constructor` | `shared-constant-wrapper` | 1 |
| `computable/sign/deep_scaled_product_sign` | `computable` | `sign` | `exact-sign-cache` | 1 |
| `computable/sign/deep_scaled_product_sign_cached` | `computable` | `sign` | `exact-sign-cache` | 1 |
| `computable/sign/deep_scaled_product_sign_until` | `computable` | `constructor` | `cached-pi` | 1 |
| `computable/sign/deep_scaled_product_sign_until` | `computable` | `constructor` | `rational-node` | 200 |
| `computable/sign/deep_scaled_product_sign_until` | `computable` | `constructor` | `shared-constant-wrapper` | 1 |
| `computable/sign/deep_scaled_product_sign_until` | `computable` | `sign_until` | `exact-sign-cache` | 1 |
| `computable/sign/exp_unknown_sign_arg` | `computable` | `constructor` | `cached-pi` | 1 |
| `computable/sign/exp_unknown_sign_arg` | `computable` | `constructor` | `one` | 1 |
| `computable/sign/exp_unknown_sign_arg` | `computable` | `constructor` | `shared-constant-wrapper` | 1 |
| `computable/sign/exp_unknown_sign_arg` | `computable` | `exp` | `structural-small-prescaled` | 1 |
| `computable/sign/exp_unknown_sign_arg` | `computable` | `sign` | `exact-sign-cache` | 1 |
| `computable/sign/exp_unknown_sign_arg_cached` | `computable` | `sign` | `exact-sign-cache` | 1 |
| `computable/sign/perturbed_scaled_product_sign` | `computable` | `constructor` | `cached-pi` | 1 |
| `computable/sign/perturbed_scaled_product_sign` | `computable` | `constructor` | `rational-node` | 201 |
| `computable/sign/perturbed_scaled_product_sign` | `computable` | `constructor` | `shared-constant-wrapper` | 1 |
| `computable/sign/perturbed_scaled_product_sign` | `computable` | `sign` | `exact-sign-cache` | 1 |
| `computable/sign/pi_minus_one` | `computable` | `constructor` | `cached-pi` | 1 |
| `computable/sign/pi_minus_one` | `computable` | `constructor` | `one` | 1 |
| `computable/sign/pi_minus_one` | `computable` | `constructor` | `rational-node` | 1 |
| `computable/sign/pi_minus_one` | `computable` | `constructor` | `shared-constant-wrapper` | 1 |
| `computable/sign/pi_minus_one` | `computable` | `sign` | `exact-sign-cache` | 1 |
| `computable/sign/pi_minus_one_cached` | `computable` | `sign` | `exact-sign-cache` | 1 |
| `computable/sign/pi_minus_one_sign_until` | `computable` | `constructor` | `cached-pi` | 1 |
| `computable/sign/pi_minus_one_sign_until` | `computable` | `constructor` | `one` | 1 |
| `computable/sign/pi_minus_one_sign_until` | `computable` | `constructor` | `rational-node` | 1 |
| `computable/sign/pi_minus_one_sign_until` | `computable` | `constructor` | `shared-constant-wrapper` | 1 |
| `computable/sign/pi_minus_one_sign_until` | `computable` | `sign_until` | `exact-sign-cache` | 1 |
| `computable/sqrt_squarefree_rational` | `computable` | `constructor` | `rational-node` | 3 |
| `computable/sqrt_squarefree_rational` | `computable` | `constructor` | `shared-constant-wrapper` | 1 |
| `computable/sqrt_squarefree_rational` | `computable` | `constructor` | `shared-sqrt-constant-probe` | 1 |
| `computable/sqrt_squarefree_rational` | `computable` | `sqrt` | `shared-squarefree-rational` | 1 |
| `computable/trig` | `computable` | `constructor` | `cached-pi` | 2 |
| `computable/trig` | `computable` | `constructor` | `prescaled-cos-half-pi-minus-rational` | 1 |
| `computable/trig` | `computable` | `constructor` | `prescaled-sin-half-pi-minus-rational` | 1 |
| `computable/trig` | `computable` | `constructor` | `rational-node` | 1 |
| `computable/trig` | `computable` | `constructor` | `shared-constant-wrapper` | 2 |
| `computable/trig` | `computable` | `cos` | `medium-rational-half-pi-rewrite` | 1 |
| `computable/trig` | `computable` | `sin` | `medium-rational-half-pi-rewrite` | 1 |
| `computable/trig/large` | `computable` | `constructor` | `cached-pi` | 6 |
| `computable/trig/large` | `computable` | `constructor` | `cos-large-rational-deferred` | 1 |
| `computable/trig/large` | `computable` | `constructor` | `rational-node` | 1 |
| `computable/trig/large` | `computable` | `constructor` | `shared-constant-wrapper` | 6 |
| `computable/trig/large` | `computable` | `constructor` | `sin-large-rational-deferred` | 1 |
| `computable/trig/large` | `computable` | `cos` | `large-rational-deferred` | 1 |
| `computable/trig/large` | `computable` | `sin` | `large-rational-deferred` | 1 |
| `computable/trig/large-exact-rational` | `computable` | `constructor` | `cached-pi` | 20 |
| `computable/trig/large-exact-rational` | `computable` | `constructor` | `cos-large-rational-deferred` | 2 |
| `computable/trig/large-exact-rational` | `computable` | `constructor` | `rational-node` | 2 |
| `computable/trig/large-exact-rational` | `computable` | `constructor` | `shared-constant-wrapper` | 20 |
| `computable/trig/large-exact-rational` | `computable` | `constructor` | `sin-large-rational-deferred` | 2 |
| `computable/trig/large-exact-rational` | `computable` | `constructor` | `tan-large-rational-deferred` | 2 |
| `computable/trig/large-exact-rational` | `computable` | `cos` | `large-rational-deferred` | 2 |
| `computable/trig/large-exact-rational` | `computable` | `sin` | `large-rational-deferred` | 2 |
| `computable/trig/large-exact-rational` | `computable` | `tan` | `large-rational-deferred` | 2 |
| `computable/trig/large-exact-rational` | `computable_approx` | `tan` | `large-rational-direct-quotient` | 2 |
| `computable/trig_adversarial/cos_1e30` | `computable` | `constructor` | `cached-pi` | 3 |
| `computable/trig_adversarial/cos_1e30` | `computable` | `constructor` | `cos-large-rational-deferred` | 1 |
| `computable/trig_adversarial/cos_1e30` | `computable` | `constructor` | `shared-constant-wrapper` | 3 |
| `computable/trig_adversarial/cos_1e30` | `computable` | `cos` | `large-rational-deferred` | 1 |
| `computable/trig_adversarial/cos_1e6` | `computable` | `constructor` | `cached-pi` | 3 |
| `computable/trig_adversarial/cos_1e6` | `computable` | `constructor` | `cos-large-rational-deferred` | 1 |
| `computable/trig_adversarial/cos_1e6` | `computable` | `constructor` | `shared-constant-wrapper` | 3 |
| `computable/trig_adversarial/cos_1e6` | `computable` | `cos` | `large-rational-deferred` | 1 |
| `computable/trig_adversarial/cos_f64_exact` | `computable` | `constructor` | `cached-pi` | 1 |
| `computable/trig_adversarial/cos_f64_exact` | `computable` | `constructor` | `prescaled-sin-half-pi-minus-rational` | 1 |
| `computable/trig_adversarial/cos_f64_exact` | `computable` | `constructor` | `shared-constant-wrapper` | 1 |
| `computable/trig_adversarial/cos_f64_exact` | `computable` | `cos` | `medium-rational-half-pi-rewrite` | 1 |
| `computable/trig_adversarial/cos_huge_pi_plus_offset` | `computable` | `constructor` | `cached-pi` | 1 |
| `computable/trig_adversarial/cos_huge_pi_plus_offset` | `computable` | `constructor` | `prescaled-sin-half-pi-minus-rational` | 1 |
| `computable/trig_adversarial/cos_huge_pi_plus_offset` | `computable` | `constructor` | `rational-node` | 1 |
| `computable/trig_adversarial/cos_huge_pi_plus_offset` | `computable` | `constructor` | `shared-constant-wrapper` | 1 |
| `computable/trig_adversarial/cos_huge_pi_plus_offset` | `computable` | `cos` | `integer-pi-plus-rational` | 1 |
| `computable/trig_adversarial/cos_huge_pi_plus_offset` | `computable` | `cos` | `medium-rational-half-pi-rewrite` | 1 |
| `computable/trig_adversarial/cos_medium` | `computable` | `constructor` | `cached-pi` | 1 |
| `computable/trig_adversarial/cos_medium` | `computable` | `constructor` | `prescaled-sin-half-pi-minus-rational` | 1 |
| `computable/trig_adversarial/cos_medium` | `computable` | `constructor` | `shared-constant-wrapper` | 1 |
| `computable/trig_adversarial/cos_medium` | `computable` | `cos` | `medium-rational-half-pi-rewrite` | 1 |
| `computable/trig_adversarial/cos_tiny` | `computable` | `constructor` | `prescaled-cos` | 1 |
| `computable/trig_adversarial/cos_tiny` | `computable` | `cos` | `structural-small-prescaled` | 1 |
| `computable/trig_adversarial/sin_1e30` | `computable` | `constructor` | `cached-pi` | 3 |
| `computable/trig_adversarial/sin_1e30` | `computable` | `constructor` | `shared-constant-wrapper` | 3 |
| `computable/trig_adversarial/sin_1e30` | `computable` | `constructor` | `sin-large-rational-deferred` | 1 |
| `computable/trig_adversarial/sin_1e30` | `computable` | `sin` | `large-rational-deferred` | 1 |
| `computable/trig_adversarial/sin_1e6` | `computable` | `constructor` | `cached-pi` | 3 |
| `computable/trig_adversarial/sin_1e6` | `computable` | `constructor` | `shared-constant-wrapper` | 3 |
| `computable/trig_adversarial/sin_1e6` | `computable` | `constructor` | `sin-large-rational-deferred` | 1 |
| `computable/trig_adversarial/sin_1e6` | `computable` | `sin` | `large-rational-deferred` | 1 |
| `computable/trig_adversarial/sin_f64_exact` | `computable` | `constructor` | `cached-pi` | 1 |
| `computable/trig_adversarial/sin_f64_exact` | `computable` | `constructor` | `prescaled-cos-half-pi-minus-rational` | 1 |
| `computable/trig_adversarial/sin_f64_exact` | `computable` | `constructor` | `shared-constant-wrapper` | 1 |
| `computable/trig_adversarial/sin_f64_exact` | `computable` | `sin` | `medium-rational-half-pi-rewrite` | 1 |
| `computable/trig_adversarial/sin_huge_pi_plus_offset` | `computable` | `constructor` | `cached-pi` | 1 |
| `computable/trig_adversarial/sin_huge_pi_plus_offset` | `computable` | `constructor` | `prescaled-cos-half-pi-minus-rational` | 1 |
| `computable/trig_adversarial/sin_huge_pi_plus_offset` | `computable` | `constructor` | `rational-node` | 1 |
| `computable/trig_adversarial/sin_huge_pi_plus_offset` | `computable` | `constructor` | `shared-constant-wrapper` | 1 |
| `computable/trig_adversarial/sin_huge_pi_plus_offset` | `computable` | `sin` | `integer-pi-plus-rational` | 1 |
| `computable/trig_adversarial/sin_huge_pi_plus_offset` | `computable` | `sin` | `medium-rational-half-pi-rewrite` | 1 |
| `computable/trig_adversarial/sin_medium` | `computable` | `constructor` | `cached-pi` | 1 |
| `computable/trig_adversarial/sin_medium` | `computable` | `constructor` | `prescaled-cos-half-pi-minus-rational` | 1 |
| `computable/trig_adversarial/sin_medium` | `computable` | `constructor` | `shared-constant-wrapper` | 1 |
| `computable/trig_adversarial/sin_medium` | `computable` | `sin` | `medium-rational-half-pi-rewrite` | 1 |
| `computable/trig_adversarial/sin_tiny` | `computable` | `constructor` | `prescaled-sin` | 1 |
| `computable/trig_adversarial/sin_tiny` | `computable` | `sin` | `structural-small-prescaled` | 1 |
| `computable/trig_adversarial/tan_1e30` | `computable` | `constructor` | `cached-pi` | 4 |
| `computable/trig_adversarial/tan_1e30` | `computable` | `constructor` | `shared-constant-wrapper` | 4 |
| `computable/trig_adversarial/tan_1e30` | `computable` | `constructor` | `tan-large-rational-deferred` | 1 |
| `computable/trig_adversarial/tan_1e30` | `computable` | `tan` | `large-rational-deferred` | 1 |
| `computable/trig_adversarial/tan_1e30` | `computable_approx` | `tan` | `large-rational-direct-quotient` | 1 |
| `computable/trig_adversarial/tan_1e6` | `computable` | `constructor` | `cached-pi` | 4 |
| `computable/trig_adversarial/tan_1e6` | `computable` | `constructor` | `shared-constant-wrapper` | 4 |
| `computable/trig_adversarial/tan_1e6` | `computable` | `constructor` | `tan-large-rational-deferred` | 1 |
| `computable/trig_adversarial/tan_1e6` | `computable` | `tan` | `large-rational-deferred` | 1 |
| `computable/trig_adversarial/tan_1e6` | `computable_approx` | `tan` | `large-rational-direct-quotient` | 1 |
| `computable/trig_adversarial/tan_huge_pi_plus_offset` | `computable` | `constructor` | `cached-pi` | 2 |
| `computable/trig_adversarial/tan_huge_pi_plus_offset` | `computable` | `constructor` | `prescaled-cot-half-pi-minus-rational` | 1 |
| `computable/trig_adversarial/tan_huge_pi_plus_offset` | `computable` | `constructor` | `rational-node` | 1 |
| `computable/trig_adversarial/tan_huge_pi_plus_offset` | `computable` | `constructor` | `shared-constant-wrapper` | 2 |
| `computable/trig_adversarial/tan_huge_pi_plus_offset` | `computable` | `tan` | `integer-pi-plus-rational` | 1 |
| `computable/trig_adversarial/tan_huge_pi_plus_offset` | `computable` | `tan` | `medium-rational-half-pi-cotangent` | 1 |
| `computable/trig_adversarial/tan_medium` | `computable` | `constructor` | `cached-pi` | 2 |
| `computable/trig_adversarial/tan_medium` | `computable` | `constructor` | `prescaled-cot-half-pi-minus-rational` | 1 |
| `computable/trig_adversarial/tan_medium` | `computable` | `constructor` | `shared-constant-wrapper` | 2 |
| `computable/trig_adversarial/tan_medium` | `computable` | `tan` | `medium-rational-half-pi-cotangent` | 1 |
| `computable/trig_adversarial/tan_near_half_pi` | `computable` | `tan` | `structural-small-prescaled` | 1 |
| `computable/trig_adversarial/tan_tiny` | `computable` | `tan` | `structural-small-prescaled` | 1 |
| `real/arithmetic/exact` | `real` | `constructor` | `rational` | 6 |
| `real/arithmetic/exact` | `real` | `definitely_zero` | `rational-sign` | 2 |
| `real/arithmetic/exact` | `real` | `div` | `same-class` | 1 |
| `real/constants` | `computable` | `constructor` | `cached-e-internal` | 2 |
| `real/constants` | `computable` | `constructor` | `cached-pi` | 4 |
| `real/constants` | `computable` | `constructor` | `shared-constant-wrapper` | 6 |
| `real/constants` | `real` | `constructor` | `cached-e` | 1 |
| `real/constants` | `real` | `constructor` | `cached-pi` | 1 |
| `real/constants` | `real` | `constructor` | `cached-tau` | 1 |
| `real/constants` | `real` | `constructor` | `one` | 1 |
| `real/constants` | `real` | `constructor` | `zero` | 1 |
| `real/div/const_product_sqrt_over_e` | `computable` | `constructor` | `cached-e-internal` | 4 |
| `real/div/const_product_sqrt_over_e` | `computable` | `constructor` | `cached-pi` | 5 |
| `real/div/const_product_sqrt_over_e` | `computable` | `constructor` | `rational-node` | 2 |
| `real/div/const_product_sqrt_over_e` | `computable` | `constructor` | `shared-constant-wrapper` | 11 |
| `real/div/const_product_sqrt_over_e` | `computable` | `constructor` | `shared-sqrt-constant-probe` | 2 |
| `real/div/const_product_sqrt_over_e` | `computable` | `sqrt` | `generic-sqrt-node` | 2 |
| `real/div/const_product_sqrt_over_e` | `real` | `best_sign` | `symbolic-or-rational` | 1 |
| `real/div/const_product_sqrt_over_e` | `real` | `constructor` | `cached-e` | 2 |
| `real/div/const_product_sqrt_over_e` | `real` | `constructor` | `cached-pi` | 1 |
| `real/div/const_product_sqrt_over_e` | `real` | `constructor` | `rational` | 1 |
| `real/div/const_product_sqrt_over_e` | `real` | `definitely_zero` | `rational-sign` | 6 |
| `real/div/const_product_sqrt_over_e` | `real` | `div` | `cached-pi-sqrt-two` | 1 |
| `real/div/const_product_sqrt_over_e` | `real` | `div` | `const-product-sqrt` | 1 |
| `real/div/const_product_sqrt_over_e` | `real` | `sqrt` | `rational-sqrt-special-form` | 1 |
| `real/div/div_const_product_sqrt` | `computable` | `constructor` | `cached-e-internal` | 5 |
| `real/div/div_const_product_sqrt` | `computable` | `constructor` | `cached-pi` | 4 |
| `real/div/div_const_product_sqrt` | `computable` | `constructor` | `rational-node` | 4 |
| `real/div/div_const_product_sqrt` | `computable` | `constructor` | `shared-constant-wrapper` | 11 |
| `real/div/div_const_product_sqrt` | `computable` | `constructor` | `shared-sqrt-constant-probe` | 2 |
| `real/div/div_const_product_sqrt` | `computable` | `sqrt` | `generic-sqrt-node` | 4 |
| `real/div/div_const_product_sqrt` | `real` | `best_sign` | `symbolic-or-rational` | 2 |
| `real/div/div_const_product_sqrt` | `real` | `constructor` | `cached-e` | 2 |
| `real/div/div_const_product_sqrt` | `real` | `constructor` | `cached-pi` | 1 |
| `real/div/div_const_product_sqrt` | `real` | `constructor` | `rational` | 2 |
| `real/div/div_const_product_sqrt` | `real` | `definitely_zero` | `rational-sign` | 8 |
| `real/div/div_const_product_sqrt` | `real` | `div` | `const-product-sqrt` | 1 |
| `real/div/div_const_product_sqrt` | `real` | `sqrt` | `rational-sqrt-special-form` | 2 |
| `real/div/div_const_products` | `computable` | `constructor` | `cached-e-internal` | 3 |
| `real/div/div_const_products` | `computable` | `constructor` | `cached-pi` | 4 |
| `real/div/div_const_products` | `computable` | `constructor` | `rational-node` | 1 |
| `real/div/div_const_products` | `computable` | `constructor` | `shared-constant-wrapper` | 7 |
| `real/div/div_const_products` | `computable` | `exp` | `structural-small-prescaled` | 1 |
| `real/div/div_const_products` | `real` | `constructor` | `cached-e` | 2 |
| `real/div/div_const_products` | `real` | `constructor` | `cached-pi` | 2 |
| `real/div/div_const_products` | `real` | `definitely_zero` | `rational-sign` | 4 |
| `real/div/div_const_products` | `real` | `div` | `const-products` | 2 |
| `real/div/sqrt_two_over_sqrt_three` | `computable` | `constructor` | `rational-node` | 4 |
| `real/div/sqrt_two_over_sqrt_three` | `computable` | `sqrt` | `generic-sqrt-node` | 4 |
| `real/div/sqrt_two_over_sqrt_three` | `real` | `best_sign` | `symbolic-or-rational` | 2 |
| `real/div/sqrt_two_over_sqrt_three` | `real` | `constructor` | `rational` | 2 |
| `real/div/sqrt_two_over_sqrt_three` | `real` | `definitely_zero` | `rational-sign` | 2 |
| `real/div/sqrt_two_over_sqrt_three` | `real` | `div` | `cached-sqrt-six-over-three` | 1 |
| `real/div/sqrt_two_over_sqrt_three` | `real` | `sqrt` | `rational-sqrt-special-form` | 2 |
| `real/dot_product/active_dot3_dense_symbolic` | `computable` | `constructor` | `cached-e-internal` | 6 |
| `real/dot_product/active_dot3_dense_symbolic` | `computable` | `constructor` | `cached-pi` | 6 |
| `real/dot_product/active_dot3_dense_symbolic` | `computable` | `constructor` | `shared-constant-wrapper` | 12 |
| `real/dot_product/active_dot3_dense_symbolic` | `real` | `constructor` | `cached-e` | 3 |
| `real/dot_product/active_dot3_dense_symbolic` | `real` | `constructor` | `cached-pi` | 3 |
| `real/dot_product/active_dot3_dense_symbolic` | `real` | `constructor` | `rational` | 6 |
| `real/dot_product/active_dot3_dense_symbolic` | `real` | `definitely_zero` | `rational-sign` | 18 |
| `real/dot_product/active_dot3_dense_symbolic` | `real` | `dot_product` | `active-dot3-real-tree` | 1 |
| `real/dot_product/active_dot4_dense_symbolic` | `computable` | `constructor` | `cached-e-internal` | 7 |
| `real/dot_product/active_dot4_dense_symbolic` | `computable` | `constructor` | `cached-pi` | 7 |
| `real/dot_product/active_dot4_dense_symbolic` | `computable` | `constructor` | `rational-node` | 3 |
| `real/dot_product/active_dot4_dense_symbolic` | `computable` | `constructor` | `shared-constant-wrapper` | 14 |
| `real/dot_product/active_dot4_dense_symbolic` | `real` | `constructor` | `cached-e` | 3 |
| `real/dot_product/active_dot4_dense_symbolic` | `real` | `constructor` | `cached-pi` | 3 |
| `real/dot_product/active_dot4_dense_symbolic` | `real` | `constructor` | `rational` | 9 |
| `real/dot_product/active_dot4_dense_symbolic` | `real` | `definitely_zero` | `rational-sign` | 22 |
| `real/dot_product/active_dot4_dense_symbolic` | `real` | `dot_product` | `active-dot4-real-tree` | 1 |
| `real/dot_product/dot3_all_zero` | `computable` | `constructor` | `cached-e-internal` | 1 |
| `real/dot_product/dot3_all_zero` | `computable` | `constructor` | `cached-pi` | 1 |
| `real/dot_product/dot3_all_zero` | `computable` | `constructor` | `shared-constant-wrapper` | 2 |
| `real/dot_product/dot3_all_zero` | `real` | `constructor` | `cached-e` | 1 |
| `real/dot_product/dot3_all_zero` | `real` | `constructor` | `cached-pi` | 1 |
| `real/dot_product/dot3_all_zero` | `real` | `constructor` | `rational` | 1 |
| `real/dot_product/dot3_all_zero` | `real` | `constructor` | `zero` | 4 |
| `real/dot_product/dot3_all_zero` | `real` | `dot_product` | `dot3-structural-real-tree` | 1 |
| `real/dot_product/dot3_dense_symbolic` | `computable` | `constructor` | `cached-e-internal` | 6 |
| `real/dot_product/dot3_dense_symbolic` | `computable` | `constructor` | `cached-pi` | 6 |
| `real/dot_product/dot3_dense_symbolic` | `computable` | `constructor` | `shared-constant-wrapper` | 12 |
| `real/dot_product/dot3_dense_symbolic` | `real` | `constructor` | `cached-e` | 3 |
| `real/dot_product/dot3_dense_symbolic` | `real` | `constructor` | `cached-pi` | 3 |
| `real/dot_product/dot3_dense_symbolic` | `real` | `constructor` | `rational` | 6 |
| `real/dot_product/dot3_dense_symbolic` | `real` | `definitely_zero` | `rational-sign` | 18 |
| `real/dot_product/dot3_dense_symbolic` | `real` | `dot_product` | `dot3-generic-real-tree` | 1 |
| `real/dot_product/dot3_mixed_structural` | `computable` | `constructor` | `cached-e-internal` | 1 |
| `real/dot_product/dot3_mixed_structural` | `computable` | `constructor` | `cached-pi` | 2 |
| `real/dot_product/dot3_mixed_structural` | `computable` | `constructor` | `rational-node` | 1 |
| `real/dot_product/dot3_mixed_structural` | `computable` | `constructor` | `shared-constant-wrapper` | 3 |
| `real/dot_product/dot3_mixed_structural` | `real` | `constructor` | `cached-e` | 1 |
| `real/dot_product/dot3_mixed_structural` | `real` | `constructor` | `cached-pi` | 1 |
| `real/dot_product/dot3_mixed_structural` | `real` | `constructor` | `one` | 1 |
| `real/dot_product/dot3_mixed_structural` | `real` | `constructor` | `rational` | 3 |
| `real/dot_product/dot3_mixed_structural` | `real` | `constructor` | `zero` | 1 |
| `real/dot_product/dot3_mixed_structural` | `real` | `definitely_zero` | `rational-sign` | 4 |
| `real/dot_product/dot3_mixed_structural` | `real` | `dot_product` | `dot3-structural-real-tree` | 1 |
| `real/dot_product/dot4_dense_symbolic` | `computable` | `constructor` | `cached-e-internal` | 7 |
| `real/dot_product/dot4_dense_symbolic` | `computable` | `constructor` | `cached-pi` | 7 |
| `real/dot_product/dot4_dense_symbolic` | `computable` | `constructor` | `rational-node` | 3 |
| `real/dot_product/dot4_dense_symbolic` | `computable` | `constructor` | `shared-constant-wrapper` | 14 |
| `real/dot_product/dot4_dense_symbolic` | `real` | `constructor` | `cached-e` | 3 |
| `real/dot_product/dot4_dense_symbolic` | `real` | `constructor` | `cached-pi` | 3 |
| `real/dot_product/dot4_dense_symbolic` | `real` | `constructor` | `rational` | 9 |
| `real/dot_product/dot4_dense_symbolic` | `real` | `definitely_zero` | `rational-sign` | 22 |
| `real/dot_product/dot4_dense_symbolic` | `real` | `dot_product` | `dot4-structural-real-tree` | 1 |
| `real/dot_product/dot4_mixed_structural` | `computable` | `constructor` | `cached-e-internal` | 1 |
| `real/dot_product/dot4_mixed_structural` | `computable` | `constructor` | `cached-pi` | 3 |
| `real/dot_product/dot4_mixed_structural` | `computable` | `constructor` | `rational-node` | 1 |
| `real/dot_product/dot4_mixed_structural` | `computable` | `constructor` | `shared-constant-wrapper` | 4 |
| `real/dot_product/dot4_mixed_structural` | `real` | `constructor` | `cached-e` | 1 |
| `real/dot_product/dot4_mixed_structural` | `real` | `constructor` | `cached-pi` | 1 |
| `real/dot_product/dot4_mixed_structural` | `real` | `constructor` | `one` | 2 |
| `real/dot_product/dot4_mixed_structural` | `real` | `constructor` | `rational` | 4 |
| `real/dot_product/dot4_mixed_structural` | `real` | `constructor` | `zero` | 2 |
| `real/dot_product/dot4_mixed_structural` | `real` | `definitely_zero` | `rational-sign` | 4 |
| `real/dot_product/dot4_mixed_structural` | `real` | `dot_product` | `dot4-structural-real-tree` | 1 |
| `real/hyperbolic_log_exp` | `computable` | `constructor` | `acosh-near-one-deferred` | 1 |
| `real/hyperbolic_log_exp` | `computable` | `constructor` | `asinh-near-zero-deferred` | 1 |
| `real/hyperbolic_log_exp` | `computable` | `constructor` | `rational-node` | 6 |
| `real/hyperbolic_log_exp` | `computable` | `constructor` | `shared-constant-wrapper` | 2 |
| `real/hyperbolic_log_exp` | `computable` | `constructor` | `shared-log-constant-probe` | 1 |
| `real/hyperbolic_log_exp` | `computable` | `exp` | `structural-small-prescaled` | 1 |
| `real/hyperbolic_log_exp` | `computable` | `ln` | `dyadic-scale-rewrite` | 1 |
| `real/hyperbolic_log_exp` | `computable` | `ln` | `shared-ln5` | 1 |
| `real/hyperbolic_log_exp` | `real` | `acosh` | `near-one-deferred-node` | 1 |
| `real/hyperbolic_log_exp` | `real` | `asinh` | `near-zero-deferred-node` | 1 |
| `real/hyperbolic_log_exp` | `real` | `best_sign` | `symbolic-or-rational` | 1 |
| `real/hyperbolic_log_exp` | `real` | `constructor` | `rational` | 1 |
| `real/hyperbolic_log_exp` | `real` | `definitely_zero` | `rational-sign` | 2 |
| `real/hyperbolic_log_exp` | `real` | `exp` | `rational-exp-special-form` | 1 |
| `real/hyperbolic_log_exp` | `real` | `ln` | `rational-ln-special-form` | 1 |
| `real/inverse/inverse_generic` | `computable` | `constructor` | `rational-node` | 1 |
| `real/inverse/inverse_generic` | `computable` | `sqrt` | `generic-sqrt-node` | 1 |
| `real/inverse/inverse_generic` | `real` | `best_sign` | `symbolic-or-rational` | 1 |
| `real/inverse/inverse_generic` | `real` | `constructor` | `rational` | 2 |
| `real/inverse/inverse_generic` | `real` | `definitely_zero` | `rational-sign` | 2 |
| `real/inverse/inverse_generic` | `real` | `inverse` | `one` | 1 |
| `real/inverse/inverse_generic` | `real` | `inverse_ref` | `sqrt-rational-radical` | 1 |
| `real/inverse/inverse_generic` | `real` | `sqrt` | `rational-sqrt-special-form` | 1 |
| `real/inverse_hyperbolic/exact_rational` | `computable` | `constructor` | `atanh-direct-deferred` | 1 |
| `real/inverse_hyperbolic/exact_rational` | `computable` | `constructor` | `rational-node` | 1 |
| `real/inverse_hyperbolic/exact_rational` | `computable` | `constructor` | `shared-constant-wrapper` | 3 |
| `real/inverse_hyperbolic/exact_rational` | `computable` | `constructor` | `shared-log-constant-probe` | 3 |
| `real/inverse_hyperbolic/exact_rational` | `real` | `atanh` | `endpoint-deferred-node` | 1 |
| `real/inverse_hyperbolic/exact_rational` | `real` | `atanh` | `rational-half-ln3-special-form` | 1 |
| `real/inverse_hyperbolic/exact_rational` | `real` | `atanh` | `rational-minus-half-ln3-special-form` | 1 |
| `real/inverse_hyperbolic/exact_rational` | `real` | `constructor` | `rational` | 2 |
| `real/inverse_hyperbolic/exact_rational` | `real` | `definitely_zero` | `rational-sign` | 3 |
| `real/inverse_trig` | `computable` | `acos` | `positive-endpoint-deferred` | 2 |
| `real/inverse_trig` | `computable` | `acos` | `tiny-via-asin` | 1 |
| `real/inverse_trig` | `computable` | `asin` | `endpoint-via-acos` | 1 |
| `real/inverse_trig` | `computable` | `asin` | `exact-tiny-rational-series` | 2 |
| `real/inverse_trig` | `computable` | `atanh` | `exact-tiny-prescaled` | 1 |
| `real/inverse_trig` | `computable` | `constructor` | `acos-positive-deferred` | 2 |
| `real/inverse_trig` | `computable` | `constructor` | `asin-rational-deferred` | 2 |
| `real/inverse_trig` | `computable` | `constructor` | `atanh-rational-deferred` | 1 |
| `real/inverse_trig` | `computable` | `constructor` | `cached-pi` | 2 |
| `real/inverse_trig` | `computable` | `constructor` | `rational-node` | 5 |
| `real/inverse_trig` | `computable` | `constructor` | `shared-constant-wrapper` | 2 |
| `real/inverse_trig` | `real` | `acos` | `generic-computable` | 2 |
| `real/inverse_trig` | `real` | `asin` | `rational-computable` | 2 |
| `real/inverse_trig` | `real` | `atanh` | `tiny-rational-computable` | 1 |
| `real/inverse_trig` | `real` | `constructor` | `rational` | 2 |
| `real/inverse_trig` | `real` | `definitely_zero` | `rational-sign` | 5 |
| `real/inverse_trig/mid-domain` | `computable` | `acos` | `positive-endpoint-deferred` | 1 |
| `real/inverse_trig/mid-domain` | `computable` | `asin` | `generic-atan-sqrt-transform` | 1 |
| `real/inverse_trig/mid-domain` | `computable` | `atan` | `exact-rational-deferred` | 1 |
| `real/inverse_trig/mid-domain` | `computable` | `atan` | `rough-small-prescaled` | 1 |
| `real/inverse_trig/mid-domain` | `computable` | `constructor` | `acos-positive-deferred` | 1 |
| `real/inverse_trig/mid-domain` | `computable` | `constructor` | `atan-rational-deferred` | 1 |
| `real/inverse_trig/mid-domain` | `computable` | `constructor` | `one` | 1 |
| `real/inverse_trig/mid-domain` | `computable` | `constructor` | `rational-node` | 7 |
| `real/inverse_trig/mid-domain` | `computable` | `constructor` | `shared-constant-wrapper` | 1 |
| `real/inverse_trig/mid-domain` | `computable` | `ln` | `binary-scale-reduction` | 1 |
| `real/inverse_trig/mid-domain` | `computable` | `ln` | `prescaled-ln1p-kernel` | 1 |
| `real/inverse_trig/mid-domain` | `computable` | `sqrt` | `generic-sqrt-node` | 1 |
| `real/inverse_trig/mid-domain` | `real` | `acos` | `generic-computable` | 1 |
| `real/inverse_trig/mid-domain` | `real` | `asin` | `rational-computable` | 1 |
| `real/inverse_trig/mid-domain` | `real` | `atan` | `generic-computable` | 1 |
| `real/inverse_trig/mid-domain` | `real` | `atanh` | `rational-log-ratio-special-form` | 1 |
| `real/inverse_trig/mid-domain` | `real` | `constructor` | `rational` | 2 |
| `real/inverse_trig/mid-domain` | `real` | `definitely_zero` | `rational-sign` | 6 |
| `real/inverse_trig/mid-domain` | `real` | `ln` | `rational-ln-special-form` | 1 |
| `real/log/scaled_e` | `computable` | `constructor` | `cached-e-internal` | 1 |
| `real/log/scaled_e` | `computable` | `constructor` | `one` | 2 |
| `real/log/scaled_e` | `computable` | `constructor` | `rational-one-canonicalized` | 1 |
| `real/log/scaled_e` | `computable` | `constructor` | `shared-constant-wrapper` | 3 |
| `real/log/scaled_e` | `computable` | `constructor` | `shared-log-constant-probe` | 2 |
| `real/log/scaled_e` | `real` | `best_sign` | `symbolic-or-rational` | 1 |
| `real/log/scaled_e` | `real` | `constructor` | `cached-e` | 1 |
| `real/log/scaled_e` | `real` | `constructor` | `rational` | 1 |
| `real/log/scaled_e` | `real` | `definitely_zero` | `rational-sign` | 2 |
| `real/log/scaled_e` | `real` | `ln` | `cached-one-plus-ln2` | 1 |
| `real/pow/small_integer_exponent` | `real` | `constructor` | `rational` | 2 |
| `real/pow/small_integer_exponent` | `real` | `pow` | `small-integer-exponent` | 1 |
| `real/pow/small_integer_exponent` | `real` | `powi` | `rational-exact` | 1 |
| `real/sqrt_scaled_exp` | `computable` | `constructor` | `rational-node` | 2 |
| `real/sqrt_scaled_exp` | `computable` | `exp` | `structural-small-prescaled` | 1 |
| `real/sqrt_scaled_exp` | `computable` | `sqrt` | `generic-sqrt-node` | 1 |
| `real/sqrt_scaled_exp` | `real` | `best_sign` | `symbolic-or-rational` | 1 |
| `real/sqrt_scaled_exp` | `real` | `constructor` | `rational` | 2 |
| `real/sqrt_scaled_exp` | `real` | `definitely_zero` | `rational-sign` | 3 |
| `real/sqrt_scaled_exp` | `real` | `exp` | `rational-exp-special-form` | 1 |
| `real/sqrt_scaled_exp` | `real` | `sqrt` | `generic-computable` | 1 |
| `real/sqrt_scaled_rational` | `computable` | `constructor` | `shared-constant-wrapper` | 1 |
| `real/sqrt_scaled_rational` | `computable` | `constructor` | `shared-sqrt-constant-probe` | 1 |
| `real/sqrt_scaled_rational` | `real` | `best_sign` | `symbolic-or-rational` | 1 |
| `real/sqrt_scaled_rational` | `real` | `constructor` | `rational` | 1 |
| `real/sqrt_scaled_rational` | `real` | `sqrt` | `scaled-shared-sqrt-constant` | 1 |
| `real/structural_queries` | `computable` | `constructor` | `cached-pi` | 2 |
| `real/structural_queries` | `computable` | `constructor` | `rational-node` | 1 |
| `real/structural_queries` | `computable` | `constructor` | `shared-constant-wrapper` | 2 |
| `real/structural_queries` | `computable` | `structural_facts` | `exact-sign-cache` | 1 |
| `real/structural_queries` | `real` | `constructor` | `cached-pi` | 1 |
| `real/structural_queries` | `real` | `constructor` | `rational` | 1 |
| `real/structural_queries` | `real` | `structural_facts` | `symbolic-nonzero-scale` | 1 |
| `real/structural_queries` | `real` | `sub` | `cached-pi-minus-three` | 1 |
| `real/structural_queries` | `real` | `zero_status` | `symbolic-nonzero-scale` | 1 |
| `real/trig/general` | `computable` | `constructor` | `prescaled-cos-half-pi-minus-rational` | 1 |
| `real/trig/general` | `computable` | `constructor` | `prescaled-cot-half-pi-minus-rational` | 1 |
| `real/trig/general` | `computable` | `constructor` | `prescaled-sin-half-pi-minus-rational` | 1 |
| `real/trig/general` | `computable` | `cos` | `medium-rational-half-pi-rewrite` | 1 |
| `real/trig/general` | `computable` | `sin` | `medium-rational-half-pi-rewrite` | 1 |
| `real/trig/general` | `computable` | `tan` | `medium-rational-half-pi-cotangent` | 1 |
| `real/trig/general` | `real` | `constructor` | `rational` | 1 |
| `real/trig/general` | `real` | `cos` | `rational-specialized-computable` | 1 |
| `real/trig/general` | `real` | `definitely_zero` | `rational-sign` | 3 |
| `real/trig/general` | `real` | `sin` | `rational-specialized-computable` | 1 |
| `real/trig/general` | `real` | `tan` | `rational-specialized-computable` | 1 |
| `real/trig/large` | `computable` | `constructor` | `cos-large-rational-deferred` | 1 |
| `real/trig/large` | `computable` | `constructor` | `sin-large-rational-deferred` | 1 |
| `real/trig/large` | `real` | `constructor` | `rational` | 1 |
| `real/trig/large` | `real` | `cos` | `large-rational-deferred-node` | 1 |
| `real/trig/large` | `real` | `definitely_zero` | `rational-sign` | 2 |
| `real/trig/large` | `real` | `sin` | `large-rational-deferred-node` | 1 |
| `real/trig/large-exact-rational` | `computable` | `constructor` | `cos-large-rational-deferred` | 2 |
| `real/trig/large-exact-rational` | `computable` | `constructor` | `sin-large-rational-deferred` | 2 |
| `real/trig/large-exact-rational` | `computable` | `constructor` | `tan-large-rational-deferred` | 2 |
| `real/trig/large-exact-rational` | `computable` | `tan` | `large-rational-deferred` | 2 |
| `real/trig/large-exact-rational` | `real` | `constructor` | `rational` | 2 |
| `real/trig/large-exact-rational` | `real` | `cos` | `large-rational-deferred-node` | 2 |
| `real/trig/large-exact-rational` | `real` | `definitely_zero` | `rational-sign` | 6 |
| `real/trig/large-exact-rational` | `real` | `sin` | `large-rational-deferred-node` | 2 |
| `real/trig/large-exact-rational` | `real` | `tan` | `rational-specialized-computable` | 2 |