Herbie run
| Date: | Wednesday, July 3rd, 2024 |
|---|---|
| Commit: | 276d3a06 on main |
| Hostname: | nightly with Racket 8.11.1 |
| Seed: | 2024185 |
| Parameters: | 256 points for 4 iterations |
| Flags: | localize:costslocalize:errorsreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionssetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:proofs default |
Time bar (total: 3.5min)
| 19.5s | 43 623× | 1 | valid |
| 14.9s | 109 074× | 0 | valid |
| 9.8s | 6 262× | 5 | exit |
| 4.1s | 12 423× | 2 | valid |
| 843.0ms | 9 018× | 1 | exit |
| 450.0ms | 3 992× | 0 | invalid |
| 187.0ms | 1 220× | 2 | exit |
| 98.0ms | 1 333× | 0 | exit |
...in/eval/compile.rkt:111:19: 7.6s (18.7% of total)ival-cos: 7.0s (17.3% of total)ival-exp: 4.9s (12.1% of total)ival-pow: 4.0s (9.7% of total)ival-tan: 3.1s (7.6% of total)ival-mult: 2.1s (5% of total)adjust: 1.7s (4.2% of total)ival-sqrt: 1.4s (3.6% of total)ival-log: 1.3s (3.1% of total)ival-add: 920.0ms (2.3% of total)ival-sub: 849.0ms (2.1% of total)ival-sin: 773.0ms (1.9% of total)ival-fmod: 746.0ms (1.8% of total)ival-<=: 664.0ms (1.6% of total)ival-sinh: 648.0ms (1.6% of total)ival-div: 566.0ms (1.4% of total)ival-acos: 525.0ms (1.3% of total)ival-neg: 517.0ms (1.3% of total)ival-pow2: 450.0ms (1.1% of total)ival-hypot: 179.0ms (0.4% of total)ival-==: 173.0ms (0.4% of total)ival-and: 119.0ms (0.3% of total)ival-true: 100.0ms (0.2% of total)ival-<: 80.0ms (0.2% of total)ival-assert: 79.0ms (0.2% of total)...in/eval/compile.rkt:110:19: 65.0ms (0.2% of total)ival-atan: 47.0ms (0.1% of total)ival-or: 38.0ms (0.1% of total)ival->=: 30.0ms (0.1% of total)ival->: 21.0ms (0.1% of total)| 157× | egg-herbie |
| 44 816× | fmm-def |
| 44 574× | fma-define |
| 24 556× | associate-*r* |
| 23 666× | distribute-lft-in |
| 22 036× | distribute-rgt-in |
| 95× | node limit |
| 60× | saturated |
| 2× | unsound |
| 13 022× | log1p-expm1-u |
| 12 958× | fma-define |
| 12 226× | fmm-def |
| 10 207× | associate-*r* |
| 10 158× | expm1-log1p-u |
| 49× | node limit |
| 12× | fuel |
| 8× | done |
| 6× | saturated |
| 2× | unsound |
Compiled 9 793 to 2 956 computations (69.8% saved)
| 68× | batch-egg-rewrite |
| 37 353× | log1p-expm1-u |
| 30 849× | expm1-log1p-u |
| 17 035× | pow1 |
| 15 369× | unpow-prod-down |
| 15 023× | add-exp-log |
| 68× | node limit |
| 6.6s | 11 313× | 0 | valid |
| 3.1s | 4 052× | 1 | valid |
| 791.0ms | 824× | 2 | valid |
| 359.0ms | 680× | 1 | exit |
| 229.0ms | 308× | 0 | exit |
| 135.0ms | 168× | 1 | invalid |
| 126.0ms | 314× | 0 | invalid |
| 4.0ms | 4× | 5 | exit |
| 1.0ms | 1× | 3 | valid |
Compiled 8 855 to 1 412 computations (84.1% saved)
ival-div: 5.1s (53.2% of total)ival-cos: 687.0ms (7.1% of total)ival-mult: 658.0ms (6.8% of total)ival-log: 459.0ms (4.8% of total)ival-add: 316.0ms (3.3% of total)ival-pow: 286.0ms (3% of total)adjust: 262.0ms (2.7% of total)ival-exp: 255.0ms (2.6% of total)ival-tan: 234.0ms (2.4% of total)ival-sin: 225.0ms (2.3% of total)ival-pow2: 195.0ms (2% of total)ival-fmod: 173.0ms (1.8% of total)ival-sub: 153.0ms (1.6% of total)...in/eval/compile.rkt:111:19: 136.0ms (1.4% of total)ival-sqrt: 118.0ms (1.2% of total)ival-cbrt: 63.0ms (0.7% of total)ival-acos: 51.0ms (0.5% of total)ival-asin: 47.0ms (0.5% of total)ival-neg: 46.0ms (0.5% of total)ival-log1p: 27.0ms (0.3% of total)ival-expm1: 27.0ms (0.3% of total)ival-hypot: 24.0ms (0.2% of total)ival-sinh: 18.0ms (0.2% of total)ival-true: 15.0ms (0.2% of total)...in/eval/compile.rkt:110:19: 13.0ms (0.1% of total)ival-assert: 8.0ms (0.1% of total)ival-pi: 7.0ms (0.1% of total)ival-fabs: 6.0ms (0.1% of total)ival-atan: 4.0ms (0% of total)55 calls:
| 4.9s | hi |
| 1.5s | lo |
| 889.0ms | a |
| 706.0ms | x |
| 561.0ms | z |
Compiled 1 720 to 1 224 computations (28.8% saved)
Compiled 71 084 to 38 268 computations (46.2% saved)
Compiled 1 083 933 to 167 555 computations (84.5% saved)
| 20× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 73.7% | 26.3% | 0% | 0% | 0% | 0 |
| 28.8% | 21.3% | 52.5% | 26.3% | 0% | 0% | 0% | 1 |
| 44.1% | 32.5% | 41.2% | 26.3% | 0% | 0% | 0% | 2 |
| 52.6% | 38.7% | 35% | 26.3% | 0% | 0% | 0% | 3 |
| 61.9% | 45.6% | 28.1% | 26.3% | 0% | 0% | 0% | 4 |
| 65.2% | 47.5% | 25.3% | 26.3% | 0% | 0.9% | 0% | 5 |
| 66.8% | 48.4% | 24% | 26.3% | 0% | 1.2% | 0% | 6 |
| 71.1% | 51.1% | 20.8% | 26.3% | 0% | 1.9% | 0% | 7 |
| 72.1% | 51.6% | 20% | 26.3% | 0% | 2.1% | 0% | 8 |
| 74.4% | 53% | 18.2% | 26.3% | 0% | 2.5% | 0% | 9 |
| 75.8% | 53.9% | 17.2% | 26.3% | 0% | 2.6% | 0% | 10 |
| 76.6% | 54.3% | 16.6% | 26.3% | 0% | 2.8% | 0% | 11 |
| 77.3% | 54.8% | 16.1% | 26.3% | 0% | 2.9% | 0% | 12 |
Compiled 279 to 216 computations (22.6% saved)
2688 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.2s | x | @ | inf | (+ (* -1 (/ (- x lo) lo)) (* hi (- (+ (/ 1 lo) (/ (* hi (- (/ 1 lo) (/ x (pow lo 2)))) lo)) (/ x (pow lo 2))))) |
| 165.0ms | b | @ | inf | (log (* r (/ (sin b) (cos (+ b a))))) |
| 154.0ms | b | @ | -inf | (log (* r (/ (sin b) (cos (+ b a))))) |
| 140.0ms | x | @ | inf | (/ (fmod (exp x) (sqrt (cos x))) (* 2 (log (sqrt (exp (exp x)))))) |
| 121.0ms | x | @ | 0 | (* (* (sqrt (* x 2)) (fabs (cbrt x))) (sqrt (cbrt x))) |
| 20× | egg-herbie |
| 5 179× | fmm-def |
| 5 054× | fma-define |
| 1 627× | distribute-rgt-in |
| 1 585× | distribute-lft-in |
| 1 517× | unsub-neg |
| 18× | saturated |
| 2× | node limit |
Compiled 5 968 to 2 912 computations (51.2% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | #f | oflow-rescue | 593 | 0 |
cos.f64 | #f | sensitivity | 506 | 0 |
-.f64 | #f | cancellation | 338 | 0 |
sqrt.f64 | #f | uflow-rescue | 297 | 0 |
/.f64 | #f | n/o | 261 | 0 |
acos.f64 | (acos.f64 (-.f64 #s(literal 1 binary64) x)) | sensitivity | 255 | 1 |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | sensitivity | 249 | 0 |
tan.f64 | (tan.f64 (+.f64 y z)) | sensitivity | 187 | 1 |
pow.f64 | (pow.f64 l (exp.f64 w)) | sensitivity | 112 | 11 |
*.f64 | #f | n*o | 56 | 0 |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | u*o | 35 | 0 |
| ↳ | (pow.f64 c #s(literal 2 binary64)) | underflow | 106 | |
| ↳ | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | overflow | 104 | |
| ↳ | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | overflow | 101 | |
| ↳ | (pow.f64 s #s(literal 2 binary64)) | overflow | 107 | |
*.f64 | #f | n*u | 19 | 0 |
-.f64 | (-.f64 (*.f64 a a) (*.f64 b b)) | nan-rescue | 14 | 0 |
| ↳ | (*.f64 a a) | overflow | 123 | |
| ↳ | (*.f64 b b) | overflow | 14 | |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | oflow-rescue | 4 | 0 |
| ↳ | (sinh.f64 x) | overflow | 4 | |
| ↳ | (/.f64 (sinh.f64 x) x) | overflow | 4 | |
exp.f64 | (exp.f64 (neg.f64 x)) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2169 | 276 |
| - | 680 | 1995 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2169 | 0 | 276 |
| - | 680 | 13 | 1982 |
| number | freq |
|---|---|
| 0 | 2271 |
| 1 | 2773 |
| 2 | 74 |
| 3 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 18 | 0 | 0 |
| - | 0 | 0 | 2 |
| 490.0ms | 6 670× | 0 | valid |
| 437.0ms | 2 700× | 1 | valid |
| 273.0ms | 782× | 2 | valid |
| 12.0ms | 88× | 1 | exit |
Compiled 1 288 to 560 computations (56.5% saved)
ival-mult: 82.0ms (10.7% of total)ival-sinh: 80.0ms (10.5% of total)ival-tan: 72.0ms (9.4% of total)ival-log: 66.0ms (8.6% of total)ival-cos: 59.0ms (7.7% of total)adjust: 47.0ms (6.1% of total)ival-sqrt: 47.0ms (6.1% of total)ival-sin: 47.0ms (6.1% of total)ival-div: 45.0ms (5.9% of total)ival-sub: 41.0ms (5.4% of total)ival-exp: 38.0ms (5% of total)ival-add: 37.0ms (4.8% of total)ival-fmod: 27.0ms (3.5% of total)ival-pow2: 20.0ms (2.6% of total)ival-acos: 19.0ms (2.5% of total)ival-pow: 8.0ms (1% of total)ival-hypot: 8.0ms (1% of total)ival-true: 8.0ms (1% of total)ival-neg: 5.0ms (0.7% of total)ival-assert: 4.0ms (0.5% of total)ival-atan: 3.0ms (0.4% of total)...in/eval/compile.rkt:110:19: 2.0ms (0.3% of total)| 38× | binary-search |
| 2× | left-value |
| 35× | narrow-enough |
| 2× | predicate-failed |
| 1× | predicate-same |
| 600.0ms | 2 915× | 1 | valid |
| 178.0ms | 1 917× | 0 | valid |
| 84.0ms | 202× | 0 | invalid |
| 5.0ms | 76× | 0 | exit |
Compiled 7 186 to 5 249 computations (27% saved)
ival-tan: 178.0ms (29.8% of total)ival-cos: 145.0ms (24.3% of total)ival-sin: 43.0ms (7.2% of total)ival-add: 41.0ms (6.9% of total)adjust: 40.0ms (6.7% of total)ival-exp: 25.0ms (4.2% of total)ival-mult: 24.0ms (4% of total)ival-acos: 20.0ms (3.4% of total)ival-sub: 18.0ms (3% of total)ival-pow: 17.0ms (2.8% of total)ival-div: 16.0ms (2.7% of total)ival-fmod: 13.0ms (2.2% of total)ival-neg: 6.0ms (1% of total)ival-true: 4.0ms (0.7% of total)ival-sqrt: 3.0ms (0.5% of total)ival-assert: 2.0ms (0.3% of total)ival-pow2: 2.0ms (0.3% of total)...in/eval/compile.rkt:110:19: 1.0ms (0.2% of total)Loading profile data...