Herbie run
| Date: | Wednesday, August 7th, 2024 |
|---|---|
| Commit: | 2.2 on release |
| Hostname: | nightly with Racket 8.11.1 |
| Seed: | 2024220 |
| 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: 7.5min)
| 288× | egg-herbie |
| 2 469 296× | lower-fma.f32 |
| 2 468 564× | lower-fma.f64 |
| 1 251 746× | lower-*.f32 |
| 1 249 358× | lower-*.f64 |
| 664 792× | lower-+.f32 |
| 384× | iter limit |
| 221× | node limit |
| 67× | saturated |
| 31.3s | 221 878× | 0 | valid |
| 10.4s | 26 623× | 1 | valid |
| 10.2s | 64 577× | 0 | invalid |
| 3.7s | 12 188× | 1 | invalid |
| 3.3s | 9 670× | 2 | valid |
| 2.9s | 6 020× | 3 | valid |
| 345.0ms | 1 835× | 1 | exit |
| 150.0ms | 528× | 2 | invalid |
| 27.0ms | 221× | 0 | exit |
| 2.0ms | 5× | 4 | exit |
| 1.0ms | 2× | 5 | exit |
| 0.0ms | 1× | 4 | valid |
ival-mult: 12.2s (24.8% of total)ival-div: 7.4s (15.1% of total)ival-tan: 4.1s (8.4% of total)ival-sub: 3.5s (7.2% of total)ival-add: 2.9s (5.8% of total)ival-pow2: 2.8s (5.8% of total)ival-sqrt: 2.5s (5.1% of total)ival-sin: 2.2s (4.5% of total)ival-pow: 2.2s (4.4% of total)adjust: 2.1s (4.2% of total)ival-exp: 1.8s (3.6% of total)ival-cos: 967.0ms (2% of total)const: 823.0ms (1.7% of total)ival-pi: 598.0ms (1.2% of total)ival-neg: 563.0ms (1.1% of total)ival-acos: 546.0ms (1.1% of total)ival-log: 486.0ms (1% of total)ival-hypot: 389.0ms (0.8% of total)exact: 316.0ms (0.6% of total)ival-true: 259.0ms (0.5% of total)ival-asin: 171.0ms (0.3% of total)ival-assert: 141.0ms (0.3% of total)ival-fabs: 86.0ms (0.2% of total)ival-atan: 76.0ms (0.2% of total)ival-<: 42.0ms (0.1% of total)ival-and: 12.0ms (0% of total)| 128× | batch-egg-rewrite |
| 594 158× | lower-fma.f32 |
| 593 426× | lower-fma.f64 |
| 580 182× | lower-*.f32 |
| 577 826× | lower-*.f64 |
| 460 654× | lower-/.f32 |
| 264× | iter limit |
| 128× | node limit |
| 1 523 838× | lower-fma.f32 |
| 1 523 366× | lower-fma.f64 |
| 1 014 180× | lower-*.f32 |
| 1 012 252× | lower-*.f64 |
| 511 350× | lower-/.f32 |
| 295× | iter limit |
| 189× | node limit |
| 32× | fuel |
Compiled 48 539 to 21 337 computations (56% saved)
Compiled 6 934 656 to 489 078 computations (92.9% saved)
Compiled 183 502 to 96 596 computations (47.4% saved)
156 calls:
| 1.4s | l |
| 1.1s | k |
| 748.0ms | (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) |
| 740.0ms | t |
| 642.0ms | x |
Compiled 21 472 to 14 671 computations (31.7% saved)
| 8.0s | 23 816× | 0 | valid |
| 2.8s | 3 501× | 1 | valid |
| 1.8s | 1 597× | 2 | valid |
| 1.2s | 114× | 3 | exit |
| 1.1s | 2 822× | 0 | invalid |
| 594.0ms | 419× | 3 | valid |
| 89.0ms | 172× | 1 | exit |
| 76.0ms | 240× | 0 | exit |
| 70.0ms | 15× | 5 | exit |
| 40.0ms | 70× | 1 | invalid |
| 17.0ms | 2× | 4 | valid |
Compiled 39 119 to 4 750 computations (87.9% saved)
ival-mult: 3.4s (29.3% of total)ival-div: 1.5s (13.2% of total)ival-tan: 1.5s (12.6% of total)ival-add: 1.0s (8.9% of total)ival-cos: 656.0ms (5.7% of total)ival-sqrt: 623.0ms (5.4% of total)adjust: 609.0ms (5.3% of total)ival-sub: 340.0ms (2.9% of total)ival-pow: 309.0ms (2.7% of total)ival-sin: 215.0ms (1.9% of total)const: 183.0ms (1.6% of total)ival-neg: 178.0ms (1.5% of total)ival-asin: 167.0ms (1.4% of total)ival-pow2: 162.0ms (1.4% of total)ival-acos: 152.0ms (1.3% of total)ival-exp: 135.0ms (1.2% of total)ival-log: 129.0ms (1.1% of total)ival-hypot: 69.0ms (0.6% of total)exact: 60.0ms (0.5% of total)ival-pi: 41.0ms (0.4% of total)ival-sinh: 31.0ms (0.3% of total)ival-atan: 30.0ms (0.3% of total)ival-true: 30.0ms (0.3% of total)ival-tanh: 15.0ms (0.1% of total)ival-assert: 14.0ms (0.1% of total)ival-fabs: 12.0ms (0.1% of total)ival-cbrt: 4.0ms (0% of total)| 32× | egg-herbie |
| 229 844× | lower-fma.f64 |
| 229 844× | lower-fma.f32 |
| 79 498× | lower-*.f32 |
| 79 270× | lower-*.f64 |
| 36 848× | lower-/.f32 |
| 64× | iter limit |
| 41× | node limit |
| 23× | saturated |
Compiled 57 662 to 13 656 computations (76.3% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | #f | oflow-rescue | 450 | 0 |
-.f64 | #f | cancellation | 450 | 1 |
cos.f64 | #f | sensitivity | 408 | 0 |
+.f64 | #f | nan-rescue | 278 | 0 |
acos.f64 | (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))) | sensitivity | 251 | 1 |
*.f64 | #f | n*o | 221 | 0 |
sqrt.f64 | #f | uflow-rescue | 156 | 0 |
-.f64 | #f | nan-rescue | 129 | 0 |
pow.f64 | #f | oflow-rescue | 125 | 0 |
asin.f64 | (asin.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 Om Omc) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 t l) #s(literal 2 binary64))))))) | sensitivity | 123 | 1 |
*.f64 | #f | u*o | 120 | 0 |
tan.f64 | (tan.f64 (*.f64 (PI.f64) l)) | sensitivity | 118 | 0 |
/.f64 | #f | o/o | 96 | 0 |
pow.f64 | (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) n) (/.f64 (-.f64 #s(literal 1 binary64) k) #s(literal 2 binary64))) | sensitivity | 85 | 29 |
cos.f64 | (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) | oflow-rescue | 66 | 0 |
| ↳ | (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) | overflow | 66 | |
| ↳ | (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) | overflow | 66 | |
| ↳ | (*.f64 K (+.f64 m n)) | overflow | 66 | |
*.f64 | #f | n*u | 65 | 0 |
pow.f64 | #f | uflow-rescue | 63 | 0 |
/.f64 | #f | u/u | 60 | 0 |
/.f64 | #f | o/n | 56 | 0 |
*.f64 | #f | o*u | 56 | 0 |
+.f64 | #f | cancellation | 52 | 0 |
/.f64 | #f | n/o | 44 | 0 |
/.f64 | #f | n/u | 25 | 0 |
/.f64 | #f | u/n | 15 | 0 |
log.f64 | (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) | sensitivity | 13 | 0 |
exp.f64 | #f | sensitivity | 3 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2001 | 32 |
| - | 1081 | 5078 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2001 | 1 | 31 |
| - | 1081 | 31 | 5047 |
| number | freq |
|---|---|
| 0 | 5110 |
| 1 | 2682 |
| 2 | 361 |
| 3 | 33 |
| 4 | 5 |
| 5 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 27 | 0 | 0 |
| - | 1 | 0 | 4 |
| 2.2s | 13 140× | 0 | valid |
| 808.0ms | 2 100× | 1 | valid |
| 365.0ms | 754× | 2 | valid |
| 239.0ms | 388× | 3 | valid |
| 1.0ms | 2× | 5 | exit |
Compiled 8 490 to 2 164 computations (74.5% saved)
ival-mult: 622.0ms (24.2% of total)ival-tan: 334.0ms (13% of total)ival-div: 313.0ms (12.2% of total)ival-sub: 165.0ms (6.4% of total)ival-sqrt: 163.0ms (6.3% of total)ival-sin: 150.0ms (5.8% of total)adjust: 133.0ms (5.2% of total)ival-add: 126.0ms (4.9% of total)ival-pow2: 121.0ms (4.7% of total)ival-exp: 110.0ms (4.3% of total)ival-cos: 72.0ms (2.8% of total)ival-pow: 70.0ms (2.7% of total)ival-neg: 29.0ms (1.1% of total)ival-acos: 28.0ms (1.1% of total)ival-hypot: 25.0ms (1% of total)ival-log: 21.0ms (0.8% of total)exact: 18.0ms (0.7% of total)ival-true: 16.0ms (0.6% of total)ival-pi: 15.0ms (0.6% of total)const: 9.0ms (0.4% of total)ival-asin: 8.0ms (0.3% of total)ival-assert: 7.0ms (0.3% of total)ival-fabs: 7.0ms (0.3% of total)ival-atan: 5.0ms (0.2% of total)| 32× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 98.2% | 1.8% | 0% | 0% | 0% | 0 |
| 22.2% | 21.8% | 76.4% | 1.8% | 0% | 0% | 0% | 1 |
| 22.6% | 21.8% | 74.8% | 1.8% | 0% | 1.6% | 0% | 2 |
| 28.6% | 26.5% | 66.3% | 1.8% | 0% | 5.5% | 0% | 3 |
| 32.6% | 29.6% | 61.2% | 1.8% | 0% | 7.4% | 0% | 4 |
| 35.8% | 32.3% | 58% | 1.8% | 0% | 8% | 0% | 5 |
| 40.1% | 36.1% | 54% | 1.8% | 0% | 8.1% | 0% | 6 |
| 45.5% | 40.6% | 48.7% | 1.8% | 0% | 8.9% | 0% | 7 |
| 47.9% | 42.1% | 45.8% | 1.8% | 0% | 10.3% | 0% | 8 |
| 51% | 44.7% | 42.9% | 1.8% | 0% | 10.6% | 0% | 9 |
| 52.2% | 45.5% | 41.7% | 1.8% | 0% | 11% | 0% | 10 |
| 53.9% | 46.8% | 39.9% | 1.8% | 0% | 11.5% | 0% | 11 |
| 55.7% | 47.9% | 38.2% | 1.8% | 0% | 12.2% | 0% | 12 |
Compiled 798 to 574 computations (28.1% saved)
12084 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 78.0ms | t | @ | 0 | (exp (- (* 3 (log t)) (* (log l) 2))) |
| 77.0ms | l | @ | inf | (/ l (exp (+ (* 3 (log t)) (* (log k) 2)))) |
| 76.0ms | f | @ | -inf | (* -4 (- (neg (log (* 1/4 (PI)))) (log f))) |
| 70.0ms | Om | @ | 0 | (sqrt (+ (* 1/4 (/ Om (* l ky))) 1/2)) |
| 60.0ms | f | @ | -inf | (/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) 1/4)) |
| 369× | left-value |
| 188× | binary-search |
| 176× | narrow-enough |
| 12× | predicate-same |
| 2.3s | 13 879× | 0 | valid |
| 690.0ms | 573× | 1 | valid |
| 428.0ms | 2 329× | 0 | invalid |
| 54.0ms | 135× | 2 | valid |
| 23.0ms | 53× | 3 | valid |
| 15.0ms | 61× | 1 | invalid |
| 1.0ms | 3× | 2 | invalid |
Compiled 52 337 to 37 626 computations (28.1% saved)
ival-mult: 717.0ms (26.2% of total)ival-hypot: 519.0ms (18.9% of total)ival-div: 368.0ms (13.4% of total)ival-pow: 181.0ms (6.6% of total)ival-sub: 175.0ms (6.4% of total)ival-add: 160.0ms (5.8% of total)ival-sin: 134.0ms (4.9% of total)ival-tan: 132.0ms (4.8% of total)ival-pow2: 74.0ms (2.7% of total)ival-exp: 61.0ms (2.2% of total)ival-sqrt: 47.0ms (1.7% of total)ival-neg: 43.0ms (1.6% of total)adjust: 37.0ms (1.4% of total)ival-cos: 29.0ms (1.1% of total)const: 15.0ms (0.5% of total)exact: 15.0ms (0.5% of total)ival-true: 13.0ms (0.5% of total)ival-atan: 8.0ms (0.3% of total)ival-assert: 7.0ms (0.3% of total)ival-fabs: 4.0ms (0.1% of total)ival-pi: 2.0ms (0.1% of total)Loading profile data...