Herbie run
| Date: | Saturday, July 6th, 2024 |
|---|---|
| Commit: | 2ce46aa0 on zane-job-places |
| Hostname: | nightly with Racket 8.11.1 |
| Seed: | 2024188 |
| 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: 8.8min)
| 53.8s | 434 370× | 0 | valid |
| 33.0s | 3 843× | 5 | exit |
| 10.2s | 26 189× | 1 | valid |
| 4.1s | 9 157× | 2 | valid |
| 1.5s | 9 435× | 0 | exit |
| 536.0ms | 930× | 3 | valid |
| 32.0ms | 485× | 0 | invalid |
ival-sin: 26.7s (33.3% of total)ival-mult: 15.1s (18.9% of total)ival-add: 6.7s (8.4% of total)...in/eval/compile.rkt:111:19: 4.6s (5.8% of total)ival-div: 4.4s (5.4% of total)ival-exp: 3.6s (4.5% of total)ival-hypot: 3.1s (3.9% of total)adjust: 3.0s (3.8% of total)ival-sub: 2.5s (3.1% of total)ival-log: 2.4s (3% of total)ival-asin: 1.2s (1.5% of total)ival-sqrt: 909.0ms (1.1% of total)ival-atan2: 895.0ms (1.1% of total)ival-cos: 859.0ms (1.1% of total)ival->: 561.0ms (0.7% of total)ival-pow: 528.0ms (0.7% of total)ival-asinh: 512.0ms (0.6% of total)ival-<=: 449.0ms (0.6% of total)ival-pi: 404.0ms (0.5% of total)...in/eval/compile.rkt:110:19: 263.0ms (0.3% of total)ival-true: 255.0ms (0.3% of total)ival-neg: 239.0ms (0.3% of total)ival-acosh: 216.0ms (0.3% of total)ival-assert: 175.0ms (0.2% of total)ival-fabs: 166.0ms (0.2% of total)ival-atanh: 131.0ms (0.2% of total)ival->=: 81.0ms (0.1% of total)ival-and: 72.0ms (0.1% of total)| 433× | egg-herbie |
| 143 759× | fma-define |
| 117 303× | associate-*r* |
| 105 100× | fmm-def |
| 89 720× | distribute-lft-in |
| 77 944× | distribute-rgt-in |
| 270× | node limit |
| 151× | saturated |
| 12× | unsound |
| 62 346× | fma-define |
| 49 116× | log1p-expm1-u |
| 47 954× | fmm-def |
| 45 513× | associate-*r* |
| 37 596× | distribute-lft-in |
| 196× | node limit |
| 37× | fuel |
| 20× | done |
| 18× | saturated |
| 10× | unsound |
Compiled 44 369 to 13 047 computations (70.6% saved)
| 185× | batch-egg-rewrite |
| 117 550× | log1p-expm1-u |
| 81 367× | expm1-log1p-u |
| 40 031× | pow1 |
| 38 814× | add-exp-log |
| 37 681× | add-log-exp |
| 177× | node limit |
| 8× | unsound |
Compiled 141 074 to 75 646 computations (46.4% saved)
| 9.3s | 37 794× | 0 | valid |
| 3.8s | 3 478× | 1 | valid |
| 3.0s | 1 862× | 2 | valid |
| 2.2s | 4 816× | 0 | invalid |
| 126.0ms | 407× | 0 | exit |
| 123.0ms | 330× | 1 | exit |
| 113.0ms | 102× | 5 | exit |
| 45.0ms | 59× | 3 | valid |
| 19.0ms | 40× | 2 | exit |
| 5.0ms | 8× | 1 | invalid |
Compiled 45 020 to 5 447 computations (87.9% saved)
ival-mult: 2.8s (21.1% of total)ival-div: 1.9s (13.8% of total)ival-add: 1.6s (12% of total)adjust: 815.0ms (6.1% of total)...in/eval/compile.rkt:111:19: 799.0ms (6% of total)ival-pow: 791.0ms (5.9% of total)ival-log: 620.0ms (4.6% of total)ival-sub: 502.0ms (3.7% of total)ival-exp: 424.0ms (3.2% of total)ival-hypot: 414.0ms (3.1% of total)ival-fabs: 368.0ms (2.7% of total)ival-sqrt: 352.0ms (2.6% of total)ival-asin: 341.0ms (2.5% of total)ival-pow2: 282.0ms (2.1% of total)ival-cbrt: 261.0ms (1.9% of total)ival-log1p: 209.0ms (1.6% of total)ival-cos: 179.0ms (1.3% of total)ival-sin: 158.0ms (1.2% of total)ival-atan2: 123.0ms (0.9% of total)ival-neg: 104.0ms (0.8% of total)ival-acos: 77.0ms (0.6% of total)ival-expm1: 75.0ms (0.6% of total)ival-copysign: 69.0ms (0.5% of total)...in/eval/compile.rkt:110:19: 59.0ms (0.4% of total)ival-true: 40.0ms (0.3% of total)ival-pi: 35.0ms (0.3% of total)ival-assert: 19.0ms (0.1% of total)ival-e: 5.0ms (0% of total)Compiled 4 239 278 to 545 820 computations (87.1% saved)
| 57× | egg-herbie |
| 20 513× | fmm-def |
| 20 193× | fma-define |
| 9 595× | unsub-neg |
| 9 128× | sub-neg |
| 8 864× | distribute-lft-in |
| 32× | saturated |
| 25× | node limit |
Compiled 30 032 to 11 556 computations (61.5% saved)
9594 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 572.0ms | im | @ | -inf | (log (+ 1 (log im))) |
| 257.0ms | x | @ | 0 | (/ (- 1 (pow (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* x 3275911/10000000) 1))) (+ (* x 3275911/10000000) 1))) (+ (* x 3275911/10000000) 1))) (+ (* x 3275911/10000000) 1))) (* (exp (pow x 2)) (+ (* x 3275911/10000000) 1))) 3)) (+ (pow (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* x 3275911/10000000) 1))) (+ (* x 3275911/10000000) 1))) (+ (* x 3275911/10000000) 1))) (+ (* x 3275911/10000000) 1))) (* (exp (pow x 2)) (+ (* x 3275911/10000000) 1))) 2) (+ 1 (/ (+ 31853699/125000000 (/ (+ -8890523/31250000 (/ (+ 1421413741/1000000000 (/ (+ -1453152027/1000000000 (/ 1061405429/1000000000 (+ (* x 3275911/10000000) 1))) (+ (* x 3275911/10000000) 1))) (+ (* x 3275911/10000000) 1))) (+ (* x 3275911/10000000) 1))) (* (exp (pow x 2)) (+ (* x 3275911/10000000) 1)))))) |
| 235.0ms | x | @ | inf | (* 1/2 (/ (sqrt (/ 1 (PI))) (pow (fabs x) 3))) |
| 196.0ms | re | @ | -inf | (pow (/ (log 10) (atan2 im re)) -1) |
| 190.0ms | im | @ | 0 | (/ (atan2 im re) (neg (log 1/10))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | #f | oflow-rescue | 1178 | 0 |
-.f64 | #f | cancellation | 763 | 3 |
/.f64 | #f | o/o | 635 | 0 |
sqrt.f32 | #f | oflow-rescue | 210 | 0 |
/.f64 | #f | o/n | 205 | 0 |
sin.f64 | #f | sensitivity | 183 | 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 | 181 | 0 |
+.f64 | #f | cancellation | 141 | 0 |
log.f64 | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) | sensitivity | 138 | 0 |
sqrt.f64 | #f | uflow-rescue | 134 | 0 |
log.f32 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) | sensitivity | 110 | 2 |
/.f64 | #f | n/o | 85 | 0 |
-.f64 | #f | nan-rescue | 85 | 0 |
/.f64 | #f | u/u | 78 | 0 |
*.f64 | #f | n*u | 60 | 0 |
/.f64 | #f | u/n | 37 | 0 |
+.f64 | #f | nan-rescue | 36 | 0 |
*.f64 | #f | n*o | 35 | 0 |
/.f64 | #f | n/u | 12 | 0 |
log.f32 | #f | oflow-rescue | 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 | 2 | 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 | 2 | |
| ↳ | (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 | 2 | |
| ↳ | (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 | 2 | |
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))) | oflow-rescue | 1 | 0 |
| ↳ | (+.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)) | overflow | 1 | |
| ↳ | (*.f64 x.re x.re) | overflow | 52 | |
| ↳ | (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) | overflow | 110 | |
| ↳ | (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) | overflow | 1 | |
| ↳ | (*.f64 x.im x.im) | overflow | 68 | |
log.f64 | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) | oflow-rescue | 1 | 0 |
| ↳ | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) | overflow | 1 | |
| ↳ | (-.f64 (*.f64 x x) #s(literal 1 binary64)) | overflow | 125 | |
| ↳ | (*.f64 x x) | overflow | 125 | |
sin.f64 | (sin.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))) | oflow-rescue | 1 | 0 |
| ↳ | (+.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)) | overflow | 1 | |
| ↳ | (*.f64 x.re x.re) | overflow | 52 | |
| ↳ | (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) | overflow | 110 | |
| ↳ | (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) | overflow | 1 | |
| ↳ | (*.f64 x.im x.im) | overflow | 68 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 3586 | 39 |
| - | 202 | 10765 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 3586 | 4 | 35 |
| - | 202 | 5 | 10760 |
| number | freq |
|---|---|
| 0 | 10804 |
| 1 | 3265 |
| 2 | 519 |
| 3 | 4 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 36 | 0 | 0 |
| - | 0 | 2 | 19 |
| 3.8s | 25 632× | 0 | valid |
| 1.4s | 2 612× | 1 | valid |
| 640.0ms | 892× | 2 | valid |
| 16.0ms | 42× | 3 | valid |
| 2.0ms | 6× | 5 | exit |
Compiled 15 052 to 2 968 computations (80.3% saved)
ival-mult: 1.1s (26.1% of total)ival-hypot: 595.0ms (14.4% of total)ival-add: 544.0ms (13.1% of total)ival-div: 419.0ms (10.1% of total)ival-log: 240.0ms (5.8% of total)ival-exp: 223.0ms (5.4% of total)...in/eval/compile.rkt:111:19: 206.0ms (5% of total)adjust: 155.0ms (3.7% of total)ival-sub: 109.0ms (2.6% of total)ival-pow: 101.0ms (2.4% of total)ival-asin: 75.0ms (1.8% of total)ival-sin: 71.0ms (1.7% of total)ival-fabs: 70.0ms (1.7% of total)ival-cos: 55.0ms (1.3% of total)ival-sqrt: 49.0ms (1.2% of total)ival-atan2: 47.0ms (1.1% of total)ival-true: 25.0ms (0.6% of total)ival-pi: 22.0ms (0.5% of total)...in/eval/compile.rkt:110:19: 15.0ms (0.4% of total)ival-neg: 12.0ms (0.3% of total)ival-copysign: 11.0ms (0.3% of total)ival-assert: 11.0ms (0.3% of total)ival-log1p: 7.0ms (0.2% of total)132 calls:
| 825.0ms | im |
| 757.0ms | x |
| 703.0ms | y.re |
| 644.0ms | y.im |
| 593.0ms | x.re |
Compiled 6 106 to 3 778 computations (38.1% saved)
| 318× | binary-search |
| 42× | left-value |
| 309× | narrow-enough |
| 9× | predicate-same |
| 4.3s | 33 394× | 0 | valid |
| 1.1s | 2 694× | 1 | valid |
| 118.0ms | 393× | 2 | valid |
| 37.0ms | 127× | 3 | valid |
Compiled 67 354 to 46 465 computations (31% saved)
ival-mult: 1.3s (32.3% of total)ival-hypot: 682.0ms (17% of total)ival-sin: 334.0ms (8.3% of total)ival-add: 314.0ms (7.8% of total)ival-exp: 305.0ms (7.6% of total)...in/eval/compile.rkt:111:19: 263.0ms (6.5% of total)ival-log: 183.0ms (4.6% of total)ival-sub: 150.0ms (3.7% of total)ival-cos: 140.0ms (3.5% of total)ival-div: 96.0ms (2.4% of total)ival-atan2: 73.0ms (1.8% of total)adjust: 61.0ms (1.5% of total)ival-true: 26.0ms (0.6% of total)ival-neg: 22.0ms (0.5% of total)ival-sqrt: 20.0ms (0.5% of total)ival-fabs: 14.0ms (0.3% of total)ival-assert: 13.0ms (0.3% of total)ival-copysign: 12.0ms (0.3% of total)...in/eval/compile.rkt:110:19: 9.0ms (0.2% of total)| 58× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 86.3% | 13.7% | 0% | 0% | 0% | 0 |
| 55.4% | 47.8% | 38.5% | 13.7% | 0% | 0% | 0% | 1 |
| 65.9% | 55.7% | 28.9% | 13.7% | 0% | 1.7% | 0% | 2 |
| 71.2% | 58.4% | 23.6% | 13.7% | 0% | 4.3% | 0% | 3 |
| 77.4% | 62% | 18.1% | 13.7% | 0% | 6.2% | 0% | 4 |
| 83.5% | 66.8% | 13.2% | 13.7% | 0% | 6.3% | 0% | 5 |
| 85.8% | 68.3% | 11.3% | 13.7% | 0% | 6.6% | 0% | 6 |
| 88.3% | 70.3% | 9.4% | 13.7% | 0% | 6.6% | 0% | 7 |
| 89.9% | 71.5% | 8% | 13.7% | 0% | 6.8% | 0% | 8 |
| 91.1% | 72.5% | 7.1% | 13.7% | 0% | 6.8% | 0% | 9 |
| 92.6% | 73.6% | 5.9% | 13.7% | 0% | 6.8% | 0% | 10 |
| 94% | 74.7% | 4.8% | 13.7% | 0% | 6.8% | 0% | 11 |
| 94.5% | 75.1% | 4.4% | 13.7% | 0% | 6.9% | 0% | 12 |
Compiled 1 498 to 821 computations (45.2% saved)
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