Herbie run
| Date: | Tuesday, June 11th, 2024 |
|---|---|
| Commit: | 94492e0f on zane-fix-improve-start-test |
| Hostname: | nightly with Racket 8.11.1 |
| Seed: | 2024163 |
| 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: 5.6min)
| 36.8s | 55055× | 2 | valid |
| 29.9s | 150648× | 0 | invalid |
| 28.0s | 116302× | 1 | valid |
| 27.6s | 7407× | 5 | exit |
| 6.2s | 57131× | 0 | valid |
| 3.6s | 2680× | 3 | valid |
ival-pow: 26.1s (23.7% of total)ival-tan: 12.3s (11.2% of total)ival-exp: 10.7s (9.7% of total)ival-sub: 8.2s (7.5% of total)ival-mult: 7.9s (7.2% of total)...in/eval/compile.rkt:71:19: 5.7s (5.2% of total)adjust: 5.2s (4.7% of total)ival-div: 4.9s (4.5% of total)ival-log: 4.8s (4.4% of total)ival-add: 4.4s (4% of total)ival-cos: 4.3s (3.9% of total)ival-sin: 3.8s (3.5% of total)ival-fabs: 2.8s (2.5% of total)ival-<=: 2.6s (2.3% of total)ival-sqrt: 1.2s (1.1% of total)ival-<: 977.0ms (0.9% of total)ival-neg: 828.0ms (0.8% of total)ival-and: 798.0ms (0.7% of total)ival->: 558.0ms (0.5% of total)ival-fmin: 542.0ms (0.5% of total)...in/eval/compile.rkt:70:19: 395.0ms (0.4% of total)ival-atan: 335.0ms (0.3% of total)ival-cbrt: 265.0ms (0.2% of total)ival-assert: 239.0ms (0.2% of total)ival-true: 79.0ms (0.1% of total)| 247× | egg-herbie |
| 83196× | fma-define |
| 80392× | fmm-def |
| 51125× | distribute-lft-in |
| 46703× | distribute-rgt-in |
| 46195× | times-frac |
| 78× | saturated |
| 168× | node limit |
| 1× | unsound |
| 31350× | fma-define |
| 30284× | log1p-expm1-u |
| 29033× | fmm-def |
| 24337× | expm1-log1p-u |
| 19661× | distribute-lft-in |
| 8× | saturated |
| 112× | node limit |
| 24× | fuel |
| 4× | done |
Compiled 20426 to 6462 computations (68.4% saved)
| 109× | batch-egg-rewrite |
| 67005× | log1p-expm1-u |
| 52027× | expm1-log1p-u |
| 22172× | add-exp-log |
| 22052× | pow1 |
| 21981× | add-log-exp |
| 109× | node limit |
| 7.1s | 7689× | 1 | valid |
| 5.1s | 4256× | 2 | valid |
| 3.8s | 13797× | 0 | valid |
| 1.5s | 550× | 5 | exit |
| 798.0ms | 1610× | 0 | invalid |
| 666.0ms | 258× | 3 | valid |
Compiled 18211 to 2695 computations (85.2% saved)
ival-mult: 1.9s (16% of total)ival-pow: 1.6s (13.4% of total)adjust: 1.6s (13.1% of total)ival-div: 1.1s (9.2% of total)ival-log: 976.0ms (8.1% of total)ival-sub: 806.0ms (6.7% of total)...in/eval/compile.rkt:71:19: 661.0ms (5.5% of total)ival-tan: 638.0ms (5.3% of total)ival-add: 628.0ms (5.2% of total)ival-cos: 333.0ms (2.8% of total)ival-sin: 264.0ms (2.2% of total)ival-exp: 248.0ms (2.1% of total)ival-sqrt: 220.0ms (1.8% of total)ival-fma: 220.0ms (1.8% of total)ival-neg: 210.0ms (1.8% of total)ival-log1p: 161.0ms (1.3% of total)ival-cosh: 107.0ms (0.9% of total)ival-cbrt: 92.0ms (0.8% of total)ival-expm1: 72.0ms (0.6% of total)...in/eval/compile.rkt:70:19: 50.0ms (0.4% of total)ival-atan: 27.0ms (0.2% of total)ival-true: 26.0ms (0.2% of total)ival-atan2: 18.0ms (0.2% of total)ival-assert: 17.0ms (0.1% of total)ival-hypot: 15.0ms (0.1% of total)ival-fabs: 1.0ms (0% of total)Compiled 66243 to 37310 computations (43.7% saved)
Compiled 1936331 to 305155 computations (84.2% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | #f | cancellation | 4176 | 33 |
log.f64 | #f | sensitivity | 765 | 0 |
/.f64 | #f | u/u | 436 | 0 |
sqrt.f64 | #f | oflow-rescue | 402 | 0 |
+.f64 | #f | cancellation | 313 | 1 |
/.f64 | #f | u/n | 119 | 0 |
pow.f64 | #f | sensitivity | 64 | 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 | 24 | 0 |
| ↳ | (*.f64 b eps) | underflow | 142 | |
| ↳ | (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) | underflow | 147 | |
| ↳ | (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) | underflow | 142 | |
| ↳ | (*.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 | 147 | |
-.f64 | #f | nan-rescue | 21 | 0 |
sqrt.f64 | #f | uflow-rescue | 20 | 0 |
cos.f64 | (cos.f64 (+.f64 x eps)) | sensitivity | 2 | 2 |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | n/o | 2 | 0 |
| ↳ | (*.f64 x x) | overflow | 67 | |
/.f64 | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) | o/n | 2 | 0 |
| ↳ | (exp.f64 (*.f64 #s(literal 2 binary64) x)) | overflow | 2 | |
| ↳ | (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) | overflow | 2 | |
sin.f64 | (sin.f64 (+.f64 x eps)) | sensitivity | 2 | 1 |
tan.f64 | (tan.f64 (+.f64 x eps)) | sensitivity | 2 | 1 |
exp.f64 | (exp.f64 (neg.f64 x)) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 5205 | 17 |
| - | 142 | 1804 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 5205 | 14 | 3 |
| - | 142 | 20 | 1784 |
| number | freq |
|---|---|
| 0 | 1821 |
| 1 | 4556 |
| 2 | 635 |
| 3 | 99 |
| 4 | 57 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 28 | 0 | 0 |
| - | 0 | 0 | 0 |
| 2.7s | 3402× | 2 | valid |
| 2.0s | 7260× | 1 | valid |
| 327.0ms | 3488× | 0 | valid |
| 295.0ms | 186× | 3 | valid |
Compiled 2522 to 980 computations (61.1% saved)
ival-tan: 972.0ms (25% of total)ival-div: 513.0ms (13.2% of total)ival-exp: 477.0ms (12.2% of total)ival-log: 335.0ms (8.6% of total)adjust: 331.0ms (8.5% of total)ival-cos: 264.0ms (6.8% of total)ival-sin: 240.0ms (6.2% of total)ival-sub: 191.0ms (4.9% of total)ival-add: 173.0ms (4.4% of total)ival-mult: 144.0ms (3.7% of total)ival-pow: 96.0ms (2.5% of total)ival-sqrt: 68.0ms (1.7% of total)ival-atan: 21.0ms (0.5% of total)ival-neg: 20.0ms (0.5% of total)ival-cbrt: 16.0ms (0.4% of total)ival-true: 14.0ms (0.4% of total)...in/eval/compile.rkt:70:19: 11.0ms (0.3% of total)ival-assert: 8.0ms (0.2% of total)4974 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 259.0ms | x | @ | -inf | (pow x -1/4) |
| 195.0ms | eps | @ | inf | (* eps (* (+ (* (pow (sin x) 2) (pow (cos x) -2)) 1) (pow (exp eps) (tan x)))) |
| 153.0ms | x | @ | inf | (+ 1 (- (log (pow (exp eps) (neg (+ (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (/ (pow (sin x) 2) (neg (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (/ (pow (sin x) 2) (neg (pow (cos x) 2))))) (/ (* 1/6 (pow (sin x) 2)) (pow (cos x) 2)))))) (neg (* (sin x) (/ (- 1 (/ (pow (sin x) 2) (neg (pow (cos x) 2)))) (cos x)))))))) (neg (/ (pow (sin x) 2) (pow (cos x) 2))))) |
| 131.0ms | a | @ | inf | (- (/ (sqrt (- (pow b_2 2) (* c a))) a) (/ b_2 a)) |
| 99.0ms | x | @ | -inf | (* (log x) 2) |
| 28× | egg-herbie |
| 8308× | fmm-def |
| 6663× | fma-define |
| 4254× | div-sub |
| 2652× | sub-neg |
| 2620× | times-frac |
| 23× | saturated |
| 5× | node limit |
Compiled 9374 to 3894 computations (58.5% saved)
43 calls:
| 1.1s | x |
| 541.0ms | b_2 |
| 321.0ms | b |
| 283.0ms | eps |
| 267.0ms | c |
Compiled 1427 to 944 computations (33.8% 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)
| 83× | binary-search |
| 12× | left-value |
| 3× | predicate-same |
| 80× | narrow-enough |
| 739.0ms | 7337× | 0 | valid |
| 401.0ms | 1971× | 1 | valid |
| 277.0ms | 676× | 2 | valid |
| 161.0ms | 1346× | 0 | invalid |
Compiled 15637 to 11468 computations (26.7% saved)
ival-pow: 227.0ms (22.1% of total)ival-mult: 205.0ms (20% of total)ival-div: 106.0ms (10.3% of total)ival-sub: 92.0ms (9% of total)ival-neg: 87.0ms (8.5% of total)ival-exp: 75.0ms (7.3% of total)ival-sqrt: 58.0ms (5.7% of total)ival-add: 55.0ms (5.4% of total)adjust: 47.0ms (4.6% of total)ival-cos: 29.0ms (2.8% of total)ival-cbrt: 18.0ms (1.8% of total)ival-true: 9.0ms (0.9% of total)ival-assert: 6.0ms (0.6% of total)ival-sin: 6.0ms (0.6% of total)...in/eval/compile.rkt:70:19: 5.0ms (0.5% of total)Loading profile data...