Herbie run
| Date: | Tuesday, June 18th, 2024 |
|---|---|
| Commit: | 2f9055fd on zane-job-abstraction3 |
| Hostname: | nightly with Racket 8.11.1 |
| Seed: | 2024170 |
| 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: 7.7min)
| 52.3s | 384099× | 0 | valid |
| 37.8s | 7859× | 5 | exit |
| 9.8s | 24749× | 1 | valid |
| 1.4s | 3544× | 2 | valid |
| 288.0ms | 3966× | 0 | invalid |
| 124.0ms | 408× | 3 | valid |
ival-sin: 30.0s (35.4% of total)ival-mult: 17.9s (21.1% of total)ival-add: 7.6s (9% of total)ival-div: 4.9s (5.8% of total)...in/eval/compile.rkt:77:19: 4.7s (5.6% of total)adjust: 3.2s (3.8% of total)ival-exp: 2.6s (3.1% of total)ival-sub: 2.6s (3.1% of total)ival-sqrt: 2.2s (2.6% of total)ival-log: 1.7s (2% of total)ival-cos: 1.2s (1.4% of total)ival-atan2: 844.0ms (1% of total)ival-pow: 806.0ms (0.9% of total)ival-<=: 674.0ms (0.8% of total)ival-pi: 662.0ms (0.8% of total)ival-acosh: 648.0ms (0.8% of total)ival-asinh: 503.0ms (0.6% of total)ival->=: 385.0ms (0.5% of total)ival->: 376.0ms (0.4% of total)ival-true: 271.0ms (0.3% of total)...in/eval/compile.rkt:76:19: 261.0ms (0.3% of total)ival-assert: 235.0ms (0.3% of total)ival-neg: 206.0ms (0.2% of total)ival-fabs: 185.0ms (0.2% of total)ival-and: 92.0ms (0.1% of total)| 373× | egg-herbie |
| 148591× | fma-define |
| 87914× | fmm-def |
| 79129× | distribute-lft-in |
| 67620× | distribute-rgt-in |
| 66447× | associate-*r* |
| 134× | saturated |
| 229× | node limit |
| 10× | unsound |
| 58570× | fma-define |
| 48557× | log1p-expm1-u |
| 42698× | fmm-def |
| 40438× | associate-*r* |
| 38077× | distribute-lft-in |
| 16× | saturated |
| 178× | node limit |
| 31× | fuel |
| 15× | unsound |
| 19× | done |
Compiled 43886 to 12489 computations (71.5% saved)
| 160× | batch-egg-rewrite |
| 100232× | log1p-expm1-u |
| 74410× | expm1-log1p-u |
| 35763× | pow1 |
| 33633× | add-exp-log |
| 32482× | add-log-exp |
| 150× | node limit |
| 10× | unsound |
| 8.5s | 31614× | 0 | valid |
| 4.7s | 4948× | 1 | valid |
| 2.8s | 558× | 5 | exit |
| 2.0s | 3865× | 0 | invalid |
| 737.0ms | 702× | 2 | valid |
| 35.0ms | 41× | 3 | valid |
Compiled 40183 to 4711 computations (88.3% saved)
ival-mult: 3.1s (23.1% of total)ival-add: 2.0s (15.3% of total)ival-div: 1.4s (10.5% of total)ival-pow: 1.1s (8.6% of total)...in/eval/compile.rkt:77:19: 988.0ms (7.5% of total)ival-exp: 668.0ms (5.1% of total)ival-log: 650.0ms (4.9% of total)adjust: 619.0ms (4.7% of total)ival-sub: 468.0ms (3.5% of total)ival-hypot: 413.0ms (3.1% of total)ival-sin: 325.0ms (2.5% of total)ival-sqrt: 322.0ms (2.4% of total)ival-pow2: 250.0ms (1.9% of total)ival-cos: 177.0ms (1.3% of total)ival-atan2: 142.0ms (1.1% of total)ival-neg: 124.0ms (0.9% of total)ival-copysign: 94.0ms (0.7% of total)ival-cbrt: 74.0ms (0.6% of total)ival-fabs: 62.0ms (0.5% of total)...in/eval/compile.rkt:76:19: 61.0ms (0.5% of total)ival-log1p: 55.0ms (0.4% of total)ival-true: 41.0ms (0.3% of total)ival-expm1: 38.0ms (0.3% of total)ival-assert: 26.0ms (0.2% of total)ival-pi: 22.0ms (0.2% of total)ival-e: 2.0ms (0% of total)Compiled 124520 to 66923 computations (46.3% saved)
Compiled 3751346 to 483720 computations (87.1% saved)
| 58× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 86.3% | 13.7% | 0% | 0% | 0% | 0 |
| 0% | 0% | 86.3% | 13.7% | 0% | 0% | 0% | 1 |
| 0% | 0% | 86.3% | 13.7% | 0% | 0% | 0% | 2 |
| 0.6% | 0.5% | 85.8% | 13.7% | 0% | 0% | 0% | 3 |
| 4.2% | 3.7% | 82.6% | 13.7% | 0% | 0% | 0% | 4 |
| 5.5% | 4.8% | 81.5% | 13.7% | 0% | 0% | 0% | 5 |
| 9% | 7.7% | 78.6% | 13.7% | 0% | 0% | 0% | 6 |
| 12.5% | 10.8% | 75.5% | 13.7% | 0% | 0% | 0% | 7 |
| 14.6% | 12.6% | 73.7% | 13.7% | 0% | 0% | 0% | 8 |
| 16.9% | 14.6% | 71.7% | 13.7% | 0% | 0% | 0% | 9 |
| 18.5% | 16% | 70.3% | 13.7% | 0% | 0% | 0% | 10 |
| 20% | 17.3% | 69% | 13.7% | 0% | 0% | 0% | 11 |
| 21.2% | 18.3% | 68% | 13.7% | 0% | 0% | 0% | 12 |
Compiled 1498 to 848 computations (43.4% saved)
8322 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 504.0ms | y.re | @ | 0 | (* (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re) (log (exp (cos (+ (* y.re (atan2 x.im x.re)) (* y.im (log (sqrt (+ (* x.re x.re) (* x.im x.im)))))))))) |
| 490.0ms | x | @ | -inf | (* (/ (exp (* x x)) (sqrt (PI))) (+ (* 3/4 (pow (/ 1 (fabs x)) 5)) (+ (* 15/8 (pow (/ 1 (fabs x)) 7)) (/ (+ 1 (/ 1/2 (* x x))) (fabs x))))) |
| 423.0ms | y.im | @ | 0 | (/ (/ (* x.re y.re) y.im) y.im) |
| 279.0ms | x | @ | 0 | (log (+ 1 (fabs x))) |
| 277.0ms | x | @ | 0 | (log (* (- 1 (/ (+ x (/ -1/2 x)) x)) (neg x))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | #f | oflow-rescue | 985 | 0 |
/.f64 | #f | o/o | 642 | 0 |
-.f64 | #f | cancellation | 508 | 2 |
/.f64 | #f | o/n | 204 | 0 |
sin.f64 | #f | sensitivity | 198 | 0 |
sqrt.f32 | #f | oflow-rescue | 195 | 0 |
cos.f64 | (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) | sensitivity | 194 | 1 |
+.f64 | #f | cancellation | 164 | 0 |
log.f32 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) | sensitivity | 118 | 2 |
sqrt.f64 | #f | uflow-rescue | 118 | 0 |
-.f64 | #f | nan-rescue | 118 | 0 |
/.f64 | #f | n/o | 110 | 0 |
log.f64 | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) | sensitivity | 106 | 0 |
*.f64 | #f | n*u | 81 | 0 |
/.f64 | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) | u/u | 69 | 0 |
| ↳ | (*.f64 (*.f64 i i) (*.f64 i i)) | underflow | 100 | |
| ↳ | (*.f64 i i) | underflow | 138 | |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) | underflow | 69 | |
+.f64 | #f | nan-rescue | 66 | 0 |
/.f64 | #f | u/n | 34 | 0 |
*.f64 | #f | n*o | 26 | 0 |
/.f64 | #f | n/u | 15 | 0 |
exp.f64 | #f | sensitivity | 4 | 0 |
*.f64 | (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) | o*u | 3 | 0 |
| ↳ | (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) | overflow | 3 | |
| ↳ | (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))) | overflow | 3 | |
| ↳ | (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))) | underflow | 3 | |
log.f32 | #f | oflow-rescue | 2 | 0 |
pow.f64 | (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))) | sensitivity | 1 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 3166 | 10 |
| - | 189 | 9435 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 3166 | 2 | 8 |
| - | 189 | 3 | 9432 |
| number | freq |
|---|---|
| 0 | 9445 |
| 1 | 2749 |
| 2 | 606 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 33 | 0 | 0 |
| - | 2 | 0 | 15 |
| 3.1s | 22542× | 0 | valid |
| 1.1s | 2686× | 1 | valid |
| 145.0ms | 346× | 2 | valid |
| 8.0ms | 26× | 3 | valid |
Compiled 13862 to 2612 computations (81.2% saved)
ival-mult: 1.0s (34.9% of total)ival-exp: 404.0ms (14.1% of total)ival-add: 291.0ms (10.1% of total)...in/eval/compile.rkt:77:19: 192.0ms (6.7% of total)ival-sub: 189.0ms (6.6% of total)ival-div: 165.0ms (5.7% of total)ival-log: 134.0ms (4.7% of total)ival-sqrt: 113.0ms (3.9% of total)adjust: 85.0ms (3% of total)ival-sin: 65.0ms (2.3% of total)ival-cos: 57.0ms (2% of total)ival-atan2: 39.0ms (1.4% of total)ival-pow: 27.0ms (0.9% of total)ival-true: 26.0ms (0.9% of total)ival-fabs: 20.0ms (0.7% of total)ival-assert: 15.0ms (0.5% of total)...in/eval/compile.rkt:76:19: 13.0ms (0.5% of total)ival-copysign: 13.0ms (0.5% of total)ival-neg: 12.0ms (0.4% of total)ival-pi: 10.0ms (0.3% of total)110 calls:
| 1.0s | y.im |
| 742.0ms | im |
| 737.0ms | y.re |
| 640.0ms | re |
| 517.0ms | x.im |
Compiled 5682 to 3456 computations (39.2% saved)
| 327× | binary-search |
| 45× | left-value |
| 11× | predicate-same |
| 316× | narrow-enough |
| 5.3s | 33446× | 0 | valid |
| 2.7s | 4326× | 1 | valid |
| 108.0ms | 395× | 2 | valid |
| 7.0ms | 25× | 3 | valid |
Compiled 72456 to 49245 computations (32% saved)
ival-mult: 2.2s (33.8% of total)ival-add: 1.2s (17.8% of total)ival-sin: 565.0ms (8.7% of total)ival-log: 508.0ms (7.8% of total)ival-exp: 486.0ms (7.5% of total)ival-cos: 298.0ms (4.6% of total)ival-atan2: 281.0ms (4.3% of total)ival-sub: 243.0ms (3.7% of total)ival-div: 216.0ms (3.3% of total)ival-sqrt: 164.0ms (2.5% of total)...in/eval/compile.rkt:77:19: 139.0ms (2.1% of total)adjust: 95.0ms (1.5% of total)ival-copysign: 61.0ms (0.9% of total)ival-true: 39.0ms (0.6% of total)ival-assert: 22.0ms (0.3% of total)ival-neg: 14.0ms (0.2% of total)ival-fabs: 14.0ms (0.2% of total)...in/eval/compile.rkt:76:19: 10.0ms (0.2% of total)ival-pi: 0.0ms (0% of total)| 50× | egg-herbie |
| 18603× | fmm-def |
| 18292× | fma-define |
| 8582× | unsub-neg |
| 8275× | distribute-lft-in |
| 8215× | sub-neg |
| 28× | saturated |
| 22× | node limit |
Compiled 27642 to 10100 computations (63.5% saved)
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