Herbie run
| Date: | Thursday, August 1st, 2024 |
|---|---|
| Commit: | 9d1b2398 on HEAD |
| Hostname: | nightly with Racket 8.11.1 |
| Seed: | 2024214 |
| 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: 13.5min)
| 58.5s | 121 828× | 1 | valid |
| 36.5s | 280 093× | 0 | valid |
| 32.7s | 14 362× | 5 | exit |
| 16.3s | 24 231× | 2 | valid |
| 7.1s | 3 137× | 3 | valid |
| 5.4s | 34 429× | 0 | exit |
| 4.2s | 11 024× | 1 | exit |
| 2.9s | 20 312× | 0 | invalid |
| 2.1s | 11 261× | 1 | invalid |
| 726.0ms | 44× | 4 | exit |
| 318.0ms | 768× | 2 | invalid |
| 201.0ms | 22× | 3 | exit |
| 196.0ms | 23× | 4 | valid |
| 16.0ms | 8× | 2 | exit |
ival-pow: 27.2s (18.7% of total)ival-cos: 17.4s (12% of total)ival-mult: 17.2s (11.8% of total)ival-sin: 16.1s (11.1% of total)ival-div: 11.7s (8.1% of total)adjust: 10.2s (7.1% of total)ival-pow2: 8.8s (6.1% of total)ival-add: 6.0s (4.2% of total)ival-sub: 5.8s (4% of total)ival-exp: 5.6s (3.9% of total)ival-log: 4.0s (2.7% of total)ival-sqrt: 3.9s (2.7% of total)ival-neg: 2.3s (1.6% of total)const: 1.5s (1.1% of total)ival-<: 1.3s (0.9% of total)ival-pi: 825.0ms (0.6% of total)ival-atan2: 738.0ms (0.5% of total)ival-tan: 719.0ms (0.5% of total)ival-hypot: 679.0ms (0.5% of total)ival-cbrt: 453.0ms (0.3% of total)exact: 410.0ms (0.3% of total)ival-acos: 386.0ms (0.3% of total)ival-and: 376.0ms (0.3% of total)ival-atan: 310.0ms (0.2% of total)ival-true: 301.0ms (0.2% of total)ival-assert: 211.0ms (0.1% of total)ival-<=: 174.0ms (0.1% of total)ival-asin: 152.0ms (0.1% of total)ival-fabs: 129.0ms (0.1% of total)ival-log1p: 121.0ms (0.1% of total)ival-==: 1.0ms (0% of total)ival-or: 0.0ms (0% of total)| 456× | egg-herbie |
| 3 507 598× | lower-fma.f32 |
| 3 506 462× | lower-fma.f64 |
| 1 770 382× | lower-*.f32 |
| 1 766 024× | lower-*.f64 |
| 958 768× | lower-+.f32 |
| 607× | iter limit |
| 318× | node limit |
| 138× | saturated |
| 202× | batch-egg-rewrite |
| 934 260× | lower-fma.f32 |
| 933 158× | lower-fma.f64 |
| 884 510× | lower-*.f32 |
| 880 318× | lower-*.f64 |
| 678 096× | lower-/.f32 |
| 414× | iter limit |
| 201× | node limit |
| 1× | saturated |
| 2 272 380× | lower-fma.f32 |
| 2 271 576× | lower-fma.f64 |
| 1 534 214× | lower-*.f32 |
| 1 531 022× | lower-*.f64 |
| 782 102× | lower-+.f32 |
| 442× | iter limit |
| 291× | node limit |
| 46× | fuel |
| 6× | done |
| 1× | saturated |
Compiled 52 395 to 24 709 computations (52.8% saved)
| 17.7s | 14 113× | 1 | valid |
| 8.7s | 28 729× | 0 | valid |
| 5.8s | 3 760× | 2 | valid |
| 4.3s | 736× | 5 | exit |
| 1.3s | 3 122× | 0 | invalid |
| 820.0ms | 138× | 4 | exit |
| 707.0ms | 347× | 1 | invalid |
| 679.0ms | 318× | 3 | valid |
| 162.0ms | 366× | 1 | exit |
| 14.0ms | 4× | 2 | exit |
| 13.0ms | 61× | 0 | exit |
| 11.0ms | 14× | 2 | invalid |
| 8.0ms | 1× | 3 | exit |
| 5.0ms | 3× | 4 | valid |
Compiled 92 791 to 8 074 computations (91.3% saved)
ival-mult: 8.0s (24.9% of total)ival-cos: 4.9s (15.3% of total)ival-sin: 4.3s (13.4% of total)ival-div: 2.8s (8.9% of total)adjust: 2.5s (7.9% of total)ival-add: 2.1s (6.5% of total)const: 1.1s (3.5% of total)ival-pow2: 1.0s (3.1% of total)ival-sub: 902.0ms (2.8% of total)ival-sqrt: 789.0ms (2.5% of total)ival-pow: 510.0ms (1.6% of total)ival-log: 457.0ms (1.4% of total)ival-atan2: 384.0ms (1.2% of total)ival-pi: 379.0ms (1.2% of total)ival-neg: 301.0ms (0.9% of total)ival-exp: 291.0ms (0.9% of total)ival-log1p: 251.0ms (0.8% of total)ival-tan: 176.0ms (0.5% of total)ival-acos: 149.0ms (0.5% of total)ival-hypot: 136.0ms (0.4% of total)ival-cbrt: 119.0ms (0.4% of total)ival-atan: 116.0ms (0.4% of total)exact: 90.0ms (0.3% of total)ival-fabs: 86.0ms (0.3% of total)ival-true: 47.0ms (0.1% of total)ival-copysign: 26.0ms (0.1% of total)ival-e: 24.0ms (0.1% of total)ival-assert: 23.0ms (0.1% of total)ival-asin: 13.0ms (0% of total)ival-sinh: 9.0ms (0% of total)ival-expm1: 6.0ms (0% of total)ival-cosh: 5.0ms (0% of total)ival-tanh: 2.0ms (0% of total)Compiled 669 810 to 295 103 computations (55.9% saved)
Compiled 13 162 344 to 784 266 computations (94% saved)
155 calls:
| 3.0s | b |
| 2.9s | phi1 |
| 2.7s | phi2 |
| 2.3s | a |
| 2.1s | lambda1 |
Compiled 26 079 to 15 763 computations (39.6% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
cos.f64 | #f | sensitivity | 1871 | 5 |
+.f64 | #f | cancellation | 1759 | 30 |
sin.f64 | #f | sensitivity | 1604 | 1 |
sqrt.f64 | #f | oflow-rescue | 1430 | 0 |
-.f64 | #f | cancellation | 931 | 13 |
log.f64 | #f | sensitivity | 571 | 1 |
-.f64 | #f | nan-rescue | 559 | 0 |
/.f64 | #f | o/n | 445 | 0 |
/.f64 | #f | o/o | 328 | 0 |
/.f64 | #f | u/u | 324 | 0 |
*.f64 | #f | n*o | 243 | 0 |
exp.f64 | #f | sensitivity | 169 | 22 |
sqrt.f64 | #f | uflow-rescue | 163 | 0 |
/.f64 | #f | u/n | 160 | 0 |
*.f64 | #f | n*u | 110 | 0 |
/.f64 | #f | n/o | 99 | 0 |
cbrt.f64 | #f | oflow-rescue | 93 | 0 |
cbrt.f64 | #f | uflow-rescue | 41 | 0 |
/.f64 | #f | n/u | 40 | 0 |
*.f64 | #f | u*o | 37 | 0 |
*.f64 | #f | o*u | 25 | 0 |
acos.f64 | (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) | sensitivity | 18 | 3 |
log.f64 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) | oflow-rescue | 6 | 0 |
| ↳ | (+.f64 (exp.f64 a) (exp.f64 b)) | overflow | 6 | |
| ↳ | (exp.f64 b) | overflow | 6 | |
pow.f64 | #f | sensitivity | 5 | 3 |
pow.f64 | #f | uflow-rescue | 2 | 0 |
log.f64 | (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) | uflow-rescue | 2 | 0 |
| ↳ | (+.f64 (exp.f64 a) (exp.f64 b)) | underflow | 2 | |
| ↳ | (exp.f64 a) | underflow | 122 | |
| ↳ | (exp.f64 b) | underflow | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 5774 | 80 |
| - | 1381 | 6077 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 5774 | 44 | 36 |
| - | 1381 | 20 | 6057 |
| number | freq |
|---|---|
| 0 | 6157 |
| 1 | 4687 |
| 2 | 1734 |
| 3 | 340 |
| 4 | 227 |
| 5 | 95 |
| 6 | 46 |
| 7 | 13 |
| 8 | 8 |
| 9 | 4 |
| 10 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 40 | 2 | 0 |
| - | 4 | 0 | 6 |
| 3.8s | 8 198× | 1 | valid |
| 2.2s | 2 034× | 2 | valid |
| 2.2s | 16 092× | 0 | valid |
| 517.0ms | 298× | 3 | valid |
| 2.0ms | 2× | 4 | valid |
Compiled 21 748 to 3 336 computations (84.7% saved)
ival-sin: 1.6s (23.1% of total)ival-cos: 1.1s (16.3% of total)ival-mult: 979.0ms (14% of total)ival-div: 594.0ms (8.5% of total)adjust: 449.0ms (6.4% of total)ival-pow2: 419.0ms (6% of total)ival-sub: 318.0ms (4.6% of total)ival-add: 307.0ms (4.4% of total)ival-log: 268.0ms (3.8% of total)ival-exp: 227.0ms (3.3% of total)ival-sqrt: 209.0ms (3% of total)ival-neg: 62.0ms (0.9% of total)ival-tan: 55.0ms (0.8% of total)ival-hypot: 48.0ms (0.7% of total)ival-acos: 46.0ms (0.7% of total)ival-atan2: 44.0ms (0.6% of total)ival-atan: 36.0ms (0.5% of total)ival-pi: 31.0ms (0.4% of total)ival-pow: 26.0ms (0.4% of total)ival-true: 25.0ms (0.4% of total)ival-cbrt: 19.0ms (0.3% of total)exact: 19.0ms (0.3% of total)ival-asin: 18.0ms (0.3% of total)ival-assert: 12.0ms (0.2% of total)ival-fabs: 10.0ms (0.1% of total)ival-log1p: 5.0ms (0.1% of total)| 52× | egg-herbie |
| 238 304× | lower-fma.f64 |
| 238 304× | lower-fma.f32 |
| 81 478× | lower-*.f32 |
| 81 146× | lower-*.f64 |
| 46 832× | unsub-neg |
| 104× | iter limit |
| 61× | saturated |
| 43× | node limit |
Compiled 68 310 to 20 250 computations (70.4% saved)
16353 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.3s | b | @ | 0 | (- (* (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale) (/ (/ (* (* (* 2 (- (pow b 2) (pow a 2))) (sin (* (/ angle 180) (PI)))) (cos (* (/ angle 180) (PI)))) x-scale) y-scale)) (* (* 4 (/ (/ (+ (pow (* a (sin (* (/ angle 180) (PI)))) 2) (pow (* b (cos (* (/ angle 180) (PI)))) 2)) x-scale) x-scale)) (/ (/ (+ (pow (* a (cos (* (/ angle 180) (PI)))) 2) (pow (* b (sin (* (/ angle 180) (PI)))) 2)) y-scale) y-scale))) |
| 299.0ms | b | @ | 0 | (* b b) |
| 215.0ms | c_n | @ | -inf | (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* 1 (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
| 147.0ms | s | @ | inf | (/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n))) |
| 139.0ms | c | @ | 0 | (/ (* (* a a) 9) (+ (* (sqrt (+ (* b b) (* c (* a -3)))) (* a 3)) (* (* a -3) b))) |
| 53× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 79.4% | 20.6% | 0% | 0% | 0% | 0 |
| 17.2% | 13.7% | 65.7% | 20.6% | 0% | 0% | 0% | 1 |
| 25% | 19.6% | 58.5% | 20.6% | 0% | 1.3% | 0% | 2 |
| 35.2% | 26.6% | 48.9% | 20.6% | 0% | 3.8% | 0% | 3 |
| 42.3% | 31.7% | 43.1% | 20.6% | 0% | 4.5% | 0% | 4 |
| 47.9% | 35.6% | 38.7% | 20.6% | 0% | 5.1% | 0% | 5 |
| 51% | 37.6% | 36.1% | 20.6% | 0% | 5.7% | 0% | 6 |
| 54.4% | 39.7% | 33.2% | 20.6% | 0% | 6.5% | 0% | 7 |
| 56.2% | 40.7% | 31.8% | 20.6% | 0% | 6.8% | 0% | 8 |
| 59% | 42.5% | 29.5% | 20.6% | 0% | 7.4% | 0% | 9 |
| 60.3% | 43.2% | 28.4% | 20.6% | 0% | 7.7% | 0% | 10 |
| 62.1% | 44.3% | 27% | 20.6% | 0% | 8.1% | 0% | 11 |
| 63.6% | 45.1% | 25.8% | 20.6% | 0% | 8.5% | 0% | 12 |
Compiled 1 826 to 990 computations (45.8% saved)
| 325× | binary-search |
| 183× | left-value |
| 315× | narrow-enough |
| 10× | predicate-same |
| 5.1s | 6 969× | 1 | valid |
| 2.6s | 14 452× | 0 | valid |
| 1.0s | 918× | 2 | valid |
| 371.0ms | 109× | 3 | valid |
| 73.0ms | 160× | 1 | exit |
| 42.0ms | 505× | 0 | invalid |
| 1.0ms | 17× | 0 | exit |
Compiled 104 144 to 71 256 computations (31.6% saved)
ival-sin: 2.0s (24.3% of total)ival-cos: 1.8s (22% of total)ival-mult: 1.2s (14.2% of total)ival-pow2: 899.0ms (10.9% of total)ival-div: 734.0ms (8.9% of total)adjust: 444.0ms (5.4% of total)ival-sub: 291.0ms (3.5% of total)ival-add: 187.0ms (2.3% of total)ival-atan2: 158.0ms (1.9% of total)ival-sqrt: 101.0ms (1.2% of total)ival-acos: 65.0ms (0.8% of total)ival-tan: 59.0ms (0.7% of total)ival-atan: 52.0ms (0.6% of total)ival-fabs: 43.0ms (0.5% of total)ival-exp: 40.0ms (0.5% of total)ival-hypot: 40.0ms (0.5% of total)ival-pi: 39.0ms (0.5% of total)ival-neg: 32.0ms (0.4% of total)ival-true: 18.0ms (0.2% of total)ival-log: 16.0ms (0.2% of total)ival-asin: 12.0ms (0.1% of total)exact: 12.0ms (0.1% of total)ival-assert: 10.0ms (0.1% of total)ival-log1p: 1.0ms (0% of total)Loading profile data...