Herbie run
| Date: | Thursday, June 13th, 2024 |
|---|---|
| Commit: | 63d27371 on web-cleanup |
| Hostname: | nightly with Racket 8.11.1 |
| Seed: | 2024165 |
| 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: 5.7min)
| 39.2s | 54 876× | 2 | valid |
| 29.3s | 149 901× | 0 | invalid |
| 26.2s | 116 602× | 1 | valid |
| 26.0s | 7 014× | 5 | exit |
| 6.4s | 56 968× | 0 | valid |
| 3.3s | 2 722× | 3 | valid |
ival-pow: 24.8s (22.8% of total)ival-tan: 12.3s (11.3% of total)ival-exp: 11.4s (10.5% of total)ival-mult: 8.8s (8.1% of total)ival-sub: 6.9s (6.3% of total)...in/eval/compile.rkt:71:19: 6.1s (5.6% of total)adjust: 5.1s (4.7% of total)ival-cos: 4.6s (4.3% of total)ival-div: 4.6s (4.2% of total)ival-add: 4.6s (4.2% of total)ival-log: 4.5s (4.2% of total)ival-sin: 3.5s (3.2% of total)ival-<=: 2.8s (2.6% of total)ival-fabs: 1.9s (1.8% of total)ival-sqrt: 1.7s (1.5% of total)ival-<: 1.4s (1.3% of total)ival-and: 871.0ms (0.8% of total)ival-neg: 615.0ms (0.6% of total)ival->: 535.0ms (0.5% of total)ival-fmin: 409.0ms (0.4% of total)...in/eval/compile.rkt:70:19: 392.0ms (0.4% of total)ival-atan: 340.0ms (0.3% of total)ival-cbrt: 264.0ms (0.2% of total)ival-assert: 247.0ms (0.2% of total)ival-true: 76.0ms (0.1% of total)| 241× | egg-herbie |
| 83 796× | fma-define |
| 75 816× | fmm-def |
| 50 444× | distribute-lft-in |
| 46 295× | times-frac |
| 45 005× | distribute-rgt-in |
| 165× | node limit |
| 75× | saturated |
| 1× | unsound |
| 28 289× | log1p-expm1-u |
| 24 719× | fmm-def |
| 24 359× | fma-define |
| 22 064× | expm1-log1p-u |
| 18 410× | associate-*r* |
| 104× | node limit |
| 24× | fuel |
| 7× | saturated |
| 4× | done |
Compiled 19 498 to 6 017 computations (69.1% saved)
| 106× | batch-egg-rewrite |
| 67 965× | log1p-expm1-u |
| 47 837× | expm1-log1p-u |
| 22 116× | pow1 |
| 21 713× | add-exp-log |
| 21 601× | add-log-exp |
| 106× | node limit |
| 6.8s | 4 833× | 2 | valid |
| 5.2s | 7 388× | 1 | valid |
| 3.8s | 12 091× | 0 | valid |
| 1.1s | 512× | 3 | valid |
| 845.0ms | 2 249× | 0 | invalid |
| 559.0ms | 271× | 5 | exit |
| 113.0ms | 26× | 2 | invalid |
| 20.0ms | 19× | 1 | invalid |
| 5.0ms | 3× | 3 | invalid |
Compiled 20 541 to 2 724 computations (86.7% saved)
adjust: 1.5s (12.1% of total)ival-mult: 1.5s (11.4% of total)ival-pow: 1.2s (9.8% of total)ival-div: 1.2s (9.7% of total)ival-tan: 1.1s (8.6% of total)ival-add: 1.0s (8.1% of total)ival-log: 956.0ms (7.5% of total)ival-sub: 679.0ms (5.3% of total)...in/eval/compile.rkt:71:19: 602.0ms (4.7% of total)ival-fma: 577.0ms (4.5% of total)ival-sin: 455.0ms (3.6% of total)ival-exp: 403.0ms (3.2% of total)ival-sqrt: 314.0ms (2.5% of total)ival-cos: 267.0ms (2.1% of total)ival-cbrt: 211.0ms (1.7% of total)ival-atan: 191.0ms (1.5% of total)ival-log1p: 143.0ms (1.1% of total)ival-neg: 136.0ms (1.1% of total)...in/eval/compile.rkt:70:19: 49.0ms (0.4% of total)ival-cosh: 43.0ms (0.3% of total)ival-hypot: 35.0ms (0.3% of total)ival-expm1: 27.0ms (0.2% of total)ival-true: 26.0ms (0.2% of total)ival-atan2: 17.0ms (0.1% of total)ival-assert: 17.0ms (0.1% of total)ival-e: 2.0ms (0% of total)Compiled 70 145 to 37 795 computations (46.1% saved)
Compiled 2 319 160 to 340 539 computations (85.3% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | #f | cancellation | 4118 | 25 |
log.f64 | #f | sensitivity | 762 | 1 |
/.f64 | #f | u/u | 429 | 0 |
sqrt.f64 | #f | oflow-rescue | 426 | 0 |
+.f64 | #f | cancellation | 360 | 0 |
/.f64 | #f | u/n | 135 | 0 |
pow.f64 | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) | sensitivity | 52 | 0 |
/.f64 | (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) | n/u | 26 | 0 |
| ↳ | (*.f64 b eps) | underflow | 146 | |
| ↳ | (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) | underflow | 143 | |
| ↳ | (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) | underflow | 146 | |
| ↳ | (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) | underflow | 236 | |
| ↳ | (*.f64 a eps) | underflow | 143 | |
sqrt.f64 | #f | uflow-rescue | 20 | 0 |
-.f64 | #f | nan-rescue | 16 | 0 |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | n/o | 3 | 0 |
| ↳ | (*.f64 x x) | overflow | 64 | |
cos.f64 | (cos.f64 (+.f64 x eps)) | sensitivity | 1 | 0 |
exp.f64 | (exp.f64 (neg.f64 x)) | sensitivity | 1 | 0 |
/.f64 | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) | o/o | 1 | 0 |
| ↳ | (exp.f64 (*.f64 #s(literal 2 binary64) x)) | overflow | 1 | |
| ↳ | (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) | overflow | 1 | |
| ↳ | (exp.f64 x) | overflow | 1 | |
| ↳ | (-.f64 (exp.f64 x) #s(literal 1 binary64)) | overflow | 1 | |
tan.f64 | (tan.f64 (+.f64 x eps)) | sensitivity | 1 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 5190 | 13 |
| - | 137 | 1828 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 5190 | 12 | 1 |
| - | 137 | 15 | 1813 |
| number | freq |
|---|---|
| 0 | 1841 |
| 1 | 4512 |
| 2 | 662 |
| 3 | 97 |
| 4 | 56 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 28 | 0 | 0 |
| - | 0 | 0 | 0 |
| 2.2s | 3 484× | 2 | valid |
| 1.6s | 7 210× | 1 | valid |
| 360.0ms | 3 462× | 0 | valid |
| 202.0ms | 180× | 3 | valid |
Compiled 2 522 to 980 computations (61.1% saved)
ival-tan: 592.0ms (19.1% of total)ival-exp: 481.0ms (15.5% of total)adjust: 286.0ms (9.2% of total)ival-log: 254.0ms (8.2% of total)ival-div: 210.0ms (6.8% of total)ival-mult: 206.0ms (6.6% of total)ival-sub: 199.0ms (6.4% of total)ival-cos: 191.0ms (6.2% of total)ival-add: 174.0ms (5.6% of total)ival-sin: 162.0ms (5.2% of total)ival-neg: 105.0ms (3.4% of total)ival-pow: 92.0ms (3% of total)ival-sqrt: 75.0ms (2.4% of total)ival-atan: 20.0ms (0.6% of total)ival-cbrt: 17.0ms (0.5% of total)ival-true: 13.0ms (0.4% of total)...in/eval/compile.rkt:70:19: 11.0ms (0.4% of total)ival-assert: 9.0ms (0.3% of total)| 28× | egg-herbie |
| 8 308× | fmm-def |
| 6 663× | fma-define |
| 4 254× | div-sub |
| 2 652× | sub-neg |
| 2 620× | times-frac |
| 23× | saturated |
| 5× | node limit |
Compiled 8 630 to 3 646 computations (57.8% saved)
5043 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 203.0ms | a | @ | 0 | (* (pow (pow (* (- (exp (* a x)) 1) (cbrt (- (exp (* a x)) 1))) 2) 1/3) (cbrt (cbrt (- (exp (* a x)) 1)))) |
| 115.0ms | x | @ | -inf | (+ -3 (pow (exp 2) x)) |
| 71.0ms | a | @ | -inf | (pow (E) (log (- (exp (* a x)) 1))) |
| 69.0ms | x | @ | inf | (* (log (+ 1 (exp x))) 1/2) |
| 66.0ms | N | @ | -inf | (atan2 1 (+ 1 (* (+ 1 (pow N 3)) (/ N (+ (* N (+ N -1)) 1))))) |
43 calls:
| 1.1s | x |
| 280.0ms | b |
| 265.0ms | eps |
| 231.0ms | c |
| 172.0ms | (-.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 x)) |
Compiled 1 498 to 999 computations (33.3% saved)
| 28× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 61.1% | 38.9% | 0% | 0% | 0% | 0 |
| 6.1% | 3.7% | 57.4% | 38.9% | 0% | 0% | 0% | 1 |
| 16.5% | 10.1% | 51% | 38.9% | 0% | 0% | 0% | 2 |
| 35.3% | 20.6% | 37.8% | 38.9% | 0% | 2.7% | 0% | 3 |
| 46.1% | 26.9% | 31.4% | 38.9% | 0% | 2.8% | 0% | 4 |
| 54.8% | 31.5% | 26% | 38.9% | 0% | 3.6% | 0% | 5 |
| 57.1% | 32.5% | 24.4% | 38.9% | 0% | 4.2% | 0% | 6 |
| 61.5% | 33.9% | 21.3% | 38.9% | 0% | 5.9% | 0.1% | 7 |
| 64.6% | 35.3% | 19.3% | 38.9% | 0% | 6.4% | 0.1% | 8 |
| 67.1% | 36% | 17.6% | 38.9% | 0% | 7.2% | 0.3% | 9 |
| 69.1% | 36.5% | 16.3% | 38.9% | 0% | 8.1% | 0.3% | 10 |
| 71.7% | 37.5% | 14.8% | 38.9% | 0% | 8.5% | 0.4% | 11 |
| 72.8% | 37.8% | 14.1% | 38.9% | 0% | 8.9% | 0.4% | 12 |
Compiled 483 to 350 computations (27.5% saved)
| 67× | binary-search |
| 19× | left-value |
| 65× | narrow-enough |
| 2× | predicate-same |
| 1.2s | 6 768× | 0 | valid |
| 210.0ms | 531× | 2 | valid |
| 173.0ms | 1 977× | 0 | invalid |
| 155.0ms | 1 021× | 1 | valid |
Compiled 12 395 to 9 180 computations (25.9% saved)
ival-div: 217.0ms (20.9% of total)ival-sqrt: 184.0ms (17.8% of total)ival-mult: 183.0ms (17.7% of total)ival-sub: 93.0ms (9% of total)ival-pow: 84.0ms (8.1% of total)ival-exp: 65.0ms (6.3% of total)ival-cos: 56.0ms (5.4% of total)ival-neg: 45.0ms (4.3% of total)ival-add: 44.0ms (4.2% of total)adjust: 29.0ms (2.8% of total)ival-cbrt: 9.0ms (0.9% of total)ival-sin: 9.0ms (0.9% of total)ival-true: 8.0ms (0.8% of total)ival-assert: 6.0ms (0.6% of total)...in/eval/compile.rkt:70:19: 4.0ms (0.4% of total)Loading profile data...