Herbie run
| Date: | Wednesday, May 29th, 2024 |
|---|---|
| Commit: | 69644367 on explanations-trifurcate |
| Hostname: | nightly with Racket 8.11.1 |
| Seed: | 2024150 |
| 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: 3.9min)
| 20.2s | 16608× | 5 | exit |
| 16.5s | 48711× | 1 | valid |
| 11.2s | 109155× | 0 | valid |
| 3.3s | 7254× | 2 | valid |
| 406.0ms | 3891× | 0 | invalid |
| 154.0ms | 1406× | 0 | unsamplable |
ival-pow: 6.5s (16% of total)ival-exp: 6.1s (14.9% of total)backward-pass: 4.1s (9.9% of total)...c/correct-round.rkt:121:19: 3.9s (9.5% of total)ival-cos: 3.9s (9.5% of total)ival-mult: 2.6s (6.3% of total)ival-log: 1.7s (4.2% of total)ival-<=: 1.7s (4.2% of total)ival-sqrt: 1.6s (4% of total)ival-add: 1.5s (3.6% of total)ival-tan: 1.3s (3.1% of total)ival-div: 1.1s (2.8% of total)ival-sub: 1.1s (2.6% of total)ival-fmod: 926.0ms (2.3% of total)ival-sin: 852.0ms (2.1% of total)ival-sinh: 526.0ms (1.3% of total)ival-acos: 500.0ms (1.2% of total)ival-neg: 250.0ms (0.6% of total)const: 214.0ms (0.5% of total)ival-==: 147.0ms (0.4% of total)ival-and: 138.0ms (0.3% of total)ival-<: 118.0ms (0.3% of total)ival-or: 62.0ms (0.2% of total)ival-atan: 61.0ms (0.1% of total)ival->=: 44.0ms (0.1% of total)ival->: 36.0ms (0.1% of total)| 150× | egg-herbie |
| 49341× | fma-define |
| 45395× | fmm-def |
| 24039× | distribute-lft-in |
| 23504× | associate-*r* |
| 22082× | distribute-rgt-in |
| 54× | saturated |
| 90× | node limit |
| 6× | unsound |
| 20107× | fma-define |
| 18477× | log1p-expm1-u |
| 16222× | fmm-def |
| 13631× | expm1-log1p-u |
| 11505× | associate-*r* |
| 6× | saturated |
| 69× | node limit |
| 11× | fuel |
| 2× | unsound |
| 9× | done |
Compiled 11431 to 3618 computations (68.3% saved)
| 64× | batch-egg-rewrite |
| 34760× | log1p-expm1-u |
| 25950× | expm1-log1p-u |
| 15492× | pow1 |
| 15137× | add-exp-log |
| 14584× | add-log-exp |
| 64× | node limit |
| 5.3s | 4459× | 1 | valid |
| 4.1s | 414× | 5 | exit |
| 2.6s | 1156× | 2 | valid |
| 2.4s | 9826× | 0 | valid |
| 1.5s | 256× | 3 | valid |
| 708.0ms | 297× | 0 | invalid |
| 352.0ms | 278× | 1 | invalid |
| 135.0ms | 210× | 0 | unsamplable |
Compiled 10160 to 1416 computations (86.1% saved)
ival-pow: 2.8s (23.7% of total)backward-pass: 1.1s (9.4% of total)ival-add: 1.1s (9.2% of total)ival-div: 988.0ms (8.5% of total)ival-mult: 975.0ms (8.3% of total)ival-log: 892.0ms (7.6% of total)ival-cos: 800.0ms (6.8% of total)ival-exp: 743.0ms (6.4% of total)ival-tan: 440.0ms (3.8% of total)ival-fmod: 364.0ms (3.1% of total)...c/correct-round.rkt:121:19: 340.0ms (2.9% of total)ival-sub: 215.0ms (1.8% of total)ival-e: 197.0ms (1.7% of total)ival-sqrt: 195.0ms (1.7% of total)ival-sin: 190.0ms (1.6% of total)ival-cbrt: 120.0ms (1% of total)ival-neg: 67.0ms (0.6% of total)ival-asin: 60.0ms (0.5% of total)ival-sinh: 53.0ms (0.5% of total)const: 48.0ms (0.4% of total)ival-acos: 47.0ms (0.4% of total)ival-pi: 8.0ms (0.1% of total)ival-fabs: 4.0ms (0% of total)ival-atan: 2.0ms (0% of total)| 20× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 73.7% | 26.3% | 0% | 0% | 0% | 0 |
| 22.1% | 16.3% | 57.5% | 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% | 1.1% | 0.2% | 6 |
| 71.1% | 51.1% | 20.8% | 26.3% | 0% | 1.6% | 0.2% | 7 |
| 72.1% | 51.6% | 20% | 26.3% | 0% | 1.8% | 0.4% | 8 |
| 74.4% | 53% | 18.2% | 26.3% | 0% | 2% | 0.4% | 9 |
| 75.8% | 53.9% | 17.2% | 26.3% | 0% | 2.1% | 0.5% | 10 |
| 76.6% | 54.3% | 16.6% | 26.3% | 0% | 2.3% | 0.5% | 11 |
| 77.3% | 54.8% | 16.1% | 26.3% | 0% | 2.3% | 0.5% | 12 |
Compiled 295 to 199 computations (32.5% saved)
ival-<=: 7.1s (69.9% of total)...c/correct-round.rkt:121:19: 1.9s (18.8% of total)ival-pow: 163.0ms (1.6% of total)ival-mult: 125.0ms (1.2% of total)ival-tan: 123.0ms (1.2% of total)ival-add: 102.0ms (1% of total)ival-==: 76.0ms (0.8% of total)ival-sin: 76.0ms (0.8% of total)ival-cos: 71.0ms (0.7% of total)ival-sub: 69.0ms (0.7% of total)ival-exp: 57.0ms (0.6% of total)ival-and: 54.0ms (0.5% of total)ival-div: 53.0ms (0.5% of total)ival-fmod: 48.0ms (0.5% of total)ival-or: 30.0ms (0.3% of total)ival-neg: 19.0ms (0.2% of total)ival-sqrt: 18.0ms (0.2% of total)ival-log: 18.0ms (0.2% of total)ival-sinh: 16.0ms (0.2% of total)const: 13.0ms (0.1% of total)backward-pass: 6.0ms (0.1% of total)ival-<: 5.0ms (0% of total)ival->: 4.0ms (0% of total)ival-atan: 1.0ms (0% of total)ival->=: 1.0ms (0% of total)ival-acos: 0.0ms (0% of total)Compiled 81174 to 43322 computations (46.6% saved)
53 calls:
| 1.1s | x |
| 1.0s | a |
| 887.0ms | b |
| 870.0ms | r |
| 704.0ms | (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) |
Compiled 1893 to 1335 computations (29.5% saved)
Compiled 1117880 to 169251 computations (84.9% saved)
2844 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 260.0ms | b | @ | -inf | (log (+ 1 (cos (+ b a)))) |
| 259.0ms | a | @ | inf | (log (+ 1 (cos a))) |
| 236.0ms | x | @ | inf | (log (log (sqrt (/ (sinh x) x)))) |
| 228.0ms | a | @ | inf | (+ (* -1 (/ a r)) (+ (* -1/3 (/ b r)) (/ 1 (* b r)))) |
| 156.0ms | x | @ | inf | (* -1/4 (pow x 2)) |
| 20× | egg-herbie |
| 5179× | fmm-def |
| 5054× | fma-define |
| 1627× | distribute-rgt-in |
| 1585× | distribute-lft-in |
| 1517× | unsub-neg |
| 18× | saturated |
| 2× | node limit |
Compiled 7426 to 3626 computations (51.2% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | #f | oflow-rescue | 572 | 0 |
cos.f64 | #f | sensitivity | 502 | 0 |
-.f64 | #f | cancellation | 340 | 0 |
sqrt.f64 | #f | uflow-rescue | 328 | 0 |
/.f64 | #f | n/o | 258 | 0 |
acos.f64 | (acos.f64 (-.f64 #s(literal 1 binary64) x)) | sensitivity | 256 | 0 |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | sensitivity | 245 | 1 |
tan.f64 | (tan.f64 (+.f64 y z)) | sensitivity | 200 | 0 |
pow.f64 | (pow.f64 l (exp.f64 w)) | sensitivity | 116 | 16 |
*.f64 | #f | n*o | 42 | 0 |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | u*o | 36 | 0 |
| ↳ | (pow.f64 c #s(literal 2 binary64)) | underflow | 113 | |
| ↳ | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | overflow | 111 | |
| ↳ | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | overflow | 113 | |
| ↳ | (pow.f64 s #s(literal 2 binary64)) | overflow | 111 | |
*.f64 | #f | n*u | 19 | 0 |
-.f64 | (-.f64 (*.f64 a a) (*.f64 b b)) | nan-rescue | 16 | 0 |
| ↳ | (*.f64 a a) | overflow | 117 | |
| ↳ | (*.f64 b b) | overflow | 16 | |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | oflow-rescue | 5 | 0 |
| ↳ | (sinh.f64 x) | overflow | 5 | |
| ↳ | (/.f64 (sinh.f64 x) x) | overflow | 5 | |
/.f64 | (/.f64 (-.f64 x lo) (-.f64 hi lo)) | o/o | 2 | 0 |
| ↳ | (-.f64 x lo) | overflow | 2 | |
| ↳ | (-.f64 hi lo) | overflow | 256 | |
cos.f64 | (cos.f64 (*.f64 #s(literal 2 binary64) x)) | oflow-rescue | 2 | 0 |
| ↳ | (*.f64 #s(literal 2 binary64) x) | overflow | 2 | |
exp.f64 | (exp.f64 (neg.f64 x)) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2202 | 275 |
| - | 665 | 1978 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2202 | 0 | 275 |
| - | 665 | 17 | 1961 |
| number | freq |
|---|---|
| 0 | 2253 |
| 1 | 2795 |
| 2 | 71 |
| 3 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 18 | 0 | 0 |
| - | 0 | 0 | 2 |
| 1.3s | 3006× | 1 | valid |
| 654.0ms | 6690× | 0 | valid |
| 383.0ms | 440× | 2 | valid |
| 287.0ms | 104× | 5 | exit |
Compiled 1320 to 520 computations (60.6% saved)
backward-pass: 637.0ms (34.5% of total)ival-cos: 285.0ms (15.4% of total)ival-exp: 188.0ms (10.2% of total)ival-mult: 154.0ms (8.3% of total)ival-div: 101.0ms (5.5% of total)ival-tan: 73.0ms (3.9% of total)ival-log: 66.0ms (3.6% of total)ival-sqrt: 63.0ms (3.4% of total)ival-sin: 59.0ms (3.2% of total)ival-sub: 44.0ms (2.4% of total)ival-fmod: 40.0ms (2.2% of total)ival-pow: 40.0ms (2.2% of total)ival-add: 39.0ms (2.1% of total)ival-acos: 20.0ms (1.1% of total)ival-sinh: 17.0ms (0.9% of total)const: 13.0ms (0.7% of total)ival-neg: 6.0ms (0.3% of total)ival-atan: 3.0ms (0.2% of total)| 11× | left-value |
| 37× | binary-search |
| 2× | predicate-same |
| 28× | narrow-enough |
| 7× | predicate-failed |
| 778.0ms | 1284× | 1 | valid |
| 274.0ms | 2396× | 0 | valid |
| 79.0ms | 707× | 0 | invalid |
| 45.0ms | 80× | 2 | valid |
Compiled 6650 to 4682 computations (29.6% saved)
ival-cos: 442.0ms (51.3% of total)ival-tan: 92.0ms (10.7% of total)ival-exp: 53.0ms (6.1% of total)ival-log: 47.0ms (5.5% of total)ival-pow: 37.0ms (4.3% of total)backward-pass: 34.0ms (3.9% of total)ival-add: 33.0ms (3.8% of total)ival-mult: 33.0ms (3.8% of total)ival-sin: 26.0ms (3% of total)ival-fmod: 18.0ms (2.1% of total)ival-div: 12.0ms (1.4% of total)ival-neg: 11.0ms (1.3% of total)ival-sub: 10.0ms (1.2% of total)ival-sqrt: 7.0ms (0.8% of total)const: 4.0ms (0.5% of total)ival-sinh: 2.0ms (0.2% of total)Loading profile data...