Herbie run
| Date: | Wednesday, August 21st, 2024 |
|---|---|
| Commit: | aa4576e0 on varun10p-identities |
| Hostname: | nightly with Racket 8.11.1 |
| Seed: | 2024234 |
| 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: 18.7min)
Compiled 690 021 to 281 842 computations (59.2% saved)
| 57.7s | 121 776× | 1 | valid |
| 36.8s | 280 065× | 0 | valid |
| 30.2s | 14 386× | 5 | exit |
| 16.7s | 24 285× | 2 | valid |
| 7.9s | 3 167× | 3 | valid |
| 6.1s | 35 093× | 0 | exit |
| 4.0s | 10 978× | 1 | exit |
| 3.0s | 20 737× | 0 | invalid |
| 2.2s | 11 254× | 1 | invalid |
| 726.0ms | 38× | 4 | exit |
| 340.0ms | 811× | 2 | invalid |
| 209.0ms | 19× | 4 | valid |
| 191.0ms | 16× | 3 | exit |
| 23.0ms | 9× | 2 | exit |
ival-pow: 24.9s (17.2% of total)ival-cos: 17.3s (12% of total)ival-mult: 17.3s (12% of total)ival-sin: 16.5s (11.4% of total)ival-div: 11.6s (8% of total)adjust: 11.4s (7.9% of total)ival-pow2: 8.1s (5.6% of total)ival-sub: 6.1s (4.2% of total)ival-add: 6.1s (4.2% of total)ival-exp: 5.9s (4.1% of total)ival-log: 4.2s (2.9% of total)ival-sqrt: 3.7s (2.6% of total)ival-neg: 2.4s (1.6% of total)const: 1.6s (1.1% of total)ival-<: 1.3s (0.9% of total)ival-hypot: 903.0ms (0.6% of total)ival-atan2: 899.0ms (0.6% of total)ival-tan: 824.0ms (0.6% of total)ival-pi: 553.0ms (0.4% of total)ival-acos: 449.0ms (0.3% of total)exact: 405.0ms (0.3% of total)ival-cbrt: 366.0ms (0.3% of total)ival-and: 343.0ms (0.2% of total)ival-true: 304.0ms (0.2% of total)ival-atan: 287.0ms (0.2% of total)ival-<=: 217.0ms (0.1% of total)ival-assert: 206.0ms (0.1% of total)ival-asin: 166.0ms (0.1% of total)ival-fabs: 135.0ms (0.1% of total)ival-log1p: 120.0ms (0.1% of total)ival-==: 1.0ms (0% of total)ival-or: 0.0ms (0% of total)| 459× | egg-herbie |
| 3 603 172× | lower-fma.f32 |
| 3 602 054× | lower-fma.f64 |
| 1 802 440× | lower-*.f32 |
| 1 798 010× | lower-*.f64 |
| 994 166× | lower-+.f32 |
| 612× | iter limit |
| 325× | node limit |
| 134× | saturated |
| 26.5s | 17 627× | 1 | valid |
| 10.5s | 4 816× | 2 | valid |
| 8.6s | 26 980× | 0 | valid |
| 5.0s | 576× | 5 | exit |
| 1.5s | 513× | 3 | valid |
| 1.2s | 1 318× | 0 | invalid |
| 446.0ms | 191× | 1 | invalid |
| 442.0ms | 39× | 4 | exit |
| 330.0ms | 24× | 3 | exit |
| 189.0ms | 135× | 1 | exit |
| 142.0ms | 4× | 4 | valid |
| 5.0ms | 1× | 2 | exit |
Compiled 133 675 to 9 755 computations (92.7% saved)
ival-mult: 9.3s (20.7% of total)ival-sin: 7.1s (15.9% of total)ival-cos: 6.1s (13.6% of total)adjust: 4.6s (10.3% of total)ival-div: 3.8s (8.6% of total)ival-add: 3.7s (8.2% of total)ival-pow2: 1.8s (3.9% of total)ival-sub: 1.3s (3% of total)const: 1.1s (2.6% of total)ival-sqrt: 1.1s (2.6% of total)ival-exp: 872.0ms (1.9% of total)ival-pow: 798.0ms (1.8% of total)ival-log: 795.0ms (1.8% of total)ival-atan2: 399.0ms (0.9% of total)ival-hypot: 343.0ms (0.8% of total)ival-neg: 336.0ms (0.8% of total)ival-cbrt: 187.0ms (0.4% of total)ival-log1p: 176.0ms (0.4% of total)ival-atan: 168.0ms (0.4% of total)ival-tan: 162.0ms (0.4% of total)ival-pi: 101.0ms (0.2% of total)exact: 96.0ms (0.2% of total)ival-acos: 87.0ms (0.2% of total)ival-fabs: 74.0ms (0.2% of total)ival-asin: 50.0ms (0.1% of total)ival-true: 49.0ms (0.1% of total)ival-sinh: 32.0ms (0.1% of total)ival-assert: 23.0ms (0.1% of total)ival-e: 9.0ms (0% of total)ival-copysign: 6.0ms (0% of total)ival-cosh: 6.0ms (0% of total)ival-tanh: 1.0ms (0% of total)| 874 358× | lower-*.f32 |
| 870 056× | lower-*.f64 |
| 857 528× | lower-fma.f32 |
| 856 418× | lower-fma.f64 |
| 687 890× | lower-/.f32 |
| 417× | iter limit |
| 202× | node limit |
| 1× | saturated |
| 1× | unsound |
| 2 210 056× | lower-fma.f32 |
| 2 209 350× | lower-fma.f64 |
| 1 448 942× | lower-*.f32 |
| 1 446 042× | lower-*.f64 |
| 759 418× | lower-+.f32 |
| 409× | iter limit |
| 276× | node limit |
| 42× | fuel |
| 8× | done |
Compiled 54 528 to 22 946 computations (57.9% saved)
Compiled 16 505 832 to 725 271 computations (95.6% saved)
154 calls:
| 3.4s | phi1 |
| 3.0s | lambda1 |
| 2.9s | phi2 |
| 2.8s | b |
| 2.5s | (-.f64 lambda1 lambda2) |
Compiled 27 762 to 15 951 computations (42.5% saved)
13398 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 539.0ms | c_p | @ | -inf | (/ (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (/ 1 (+ 1 (exp (neg t)))) c_p)) |
| 350.0ms | angle | @ | inf | (* (/ (sqrt (* (/ (* (neg (* b (* b (* a a)))) (* 8 (neg (* b (* b (* a a)))))) (* x-scale (* y-scale (* x-scale y-scale)))) (+ (sqrt (+ (* (- (/ (+ (* (* b b) (+ 1/2 (* 1/2 (cos (* 2 (* (* angle (PI)) 1/180)))))) (* (* a a) (- 1/2 (* 1/2 (cos (* 2 (* (* angle (PI)) 1/180))))))) (* x-scale x-scale)) (/ (+ (* (* a a) (+ 1/2 (* 1/2 (cos (* 2 (* (* angle (PI)) 1/180)))))) (* (* b b) (- 1/2 (* 1/2 (cos (* 2 (* (* angle (PI)) 1/180))))))) (* y-scale y-scale))) (- (/ (+ (* (* b b) (+ 1/2 (* 1/2 (cos (* 2 (* (* angle (PI)) 1/180)))))) (* (* a a) (- 1/2 (* 1/2 (cos (* 2 (* (* angle (PI)) 1/180))))))) (* x-scale x-scale)) (/ (+ (* (* a a) (+ 1/2 (* 1/2 (cos (* 2 (* (* angle (PI)) 1/180)))))) (* (* b b) (- 1/2 (* 1/2 (cos (* 2 (* (* angle (PI)) 1/180))))))) (* y-scale y-scale)))) (* (/ (* (* (+ b a) (- b a)) (sin (* 2 (* (* angle (PI)) 1/180)))) (* x-scale y-scale)) (/ (* (* (+ b a) (- b a)) (sin (* 2 (* (* angle (PI)) 1/180)))) (* x-scale y-scale))))) (+ (/ (+ (* (* b b) (+ 1/2 (* 1/2 (cos (* 2 (* (* angle (PI)) 1/180)))))) (* (* a a) (- 1/2 (* 1/2 (cos (* 2 (* (* angle (PI)) 1/180))))))) (* x-scale x-scale)) (/ (+ (* (* a a) (+ 1/2 (* 1/2 (cos (* 2 (* (* angle (PI)) 1/180)))))) (* (* b b) (- 1/2 (* 1/2 (cos (* 2 (* (* angle (PI)) 1/180))))))) (* y-scale y-scale)))))) (* (neg (* b (* b (* a a)))) -4)) (* x-scale (* y-scale (* x-scale y-scale)))) |
| 310.0ms | angle | @ | 0 | (* (* angle 1/180) (sqrt (sqrt (PI)))) |
| 126.0ms | 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))) |
| 106.0ms | t | @ | 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))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
cos.f64 | #f | sensitivity | 1821 | 7 |
+.f64 | #f | cancellation | 1722 | 31 |
sin.f64 | #f | sensitivity | 1561 | 2 |
sqrt.f64 | #f | oflow-rescue | 1384 | 0 |
-.f64 | #f | cancellation | 948 | 18 |
log.f64 | #f | sensitivity | 613 | 1 |
/.f64 | #f | o/n | 494 | 0 |
-.f64 | #f | nan-rescue | 489 | 0 |
/.f64 | #f | u/u | 325 | 0 |
/.f64 | #f | o/o | 309 | 0 |
*.f64 | #f | n*o | 257 | 0 |
/.f64 | #f | u/n | 192 | 0 |
sqrt.f64 | #f | uflow-rescue | 175 | 0 |
exp.f64 | #f | sensitivity | 158 | 23 |
/.f64 | #f | n/o | 91 | 0 |
cbrt.f64 | #f | oflow-rescue | 91 | 0 |
*.f64 | #f | n*u | 86 | 0 |
/.f64 | #f | n/u | 49 | 0 |
cbrt.f64 | #f | uflow-rescue | 48 | 0 |
*.f64 | #f | o*u | 30 | 0 |
*.f64 | #f | u*o | 26 | 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 | 15 | 4 |
pow.f64 | #f | uflow-rescue | 11 | 0 |
pow.f64 | #f | sensitivity | 9 | 0 |
log.f64 | #f | oflow-rescue | 6 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 5731 | 74 |
| - | 1390 | 6117 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 5731 | 32 | 42 |
| - | 1390 | 29 | 6088 |
| number | freq |
|---|---|
| 0 | 6191 |
| 1 | 4726 |
| 2 | 1656 |
| 3 | 365 |
| 4 | 207 |
| 5 | 99 |
| 6 | 39 |
| 7 | 18 |
| 8 | 5 |
| 9 | 6 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 42 | 0 | 0 |
| - | 2 | 0 | 8 |
| 5.0s | 8 150× | 1 | valid |
| 2.1s | 16 280× | 0 | valid |
| 1.9s | 1 902× | 2 | valid |
| 637.0ms | 290× | 3 | valid |
| 38.0ms | 2× | 4 | valid |
Compiled 20 079 to 2 554 computations (87.3% saved)
ival-sin: 1.6s (20.3% of total)ival-cos: 1.5s (18.9% of total)ival-mult: 1.1s (13.8% of total)ival-div: 654.0ms (8.2% of total)ival-sub: 645.0ms (8.1% of total)adjust: 468.0ms (5.9% of total)ival-add: 462.0ms (5.8% of total)ival-pow2: 394.0ms (5% of total)ival-exp: 210.0ms (2.6% of total)ival-log: 198.0ms (2.5% of total)ival-sqrt: 173.0ms (2.2% of total)ival-atan2: 102.0ms (1.3% of total)ival-neg: 69.0ms (0.9% of total)ival-pi: 58.0ms (0.7% of total)ival-pow: 56.0ms (0.7% of total)ival-tan: 46.0ms (0.6% of total)ival-hypot: 38.0ms (0.5% of total)ival-atan: 26.0ms (0.3% of total)ival-true: 25.0ms (0.3% of total)ival-cbrt: 22.0ms (0.3% of total)ival-acos: 20.0ms (0.3% of total)exact: 18.0ms (0.2% of total)ival-log1p: 15.0ms (0.2% of total)ival-assert: 11.0ms (0.1% of total)ival-asin: 10.0ms (0.1% of total)ival-fabs: 10.0ms (0.1% of total)| 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)
| 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 62 951 to 18 068 computations (71.3% saved)
| 260× | binary-search |
| 164× | left-value |
| 251× | narrow-enough |
| 9× | predicate-same |
| 4.1s | 5 666× | 1 | valid |
| 1.8s | 11 656× | 0 | valid |
| 238.0ms | 428× | 2 | valid |
| 94.0ms | 41× | 3 | valid |
| 56.0ms | 634× | 0 | invalid |
| 10.0ms | 26× | 1 | exit |
| 3.0ms | 65× | 0 | exit |
| 2.0ms | 1× | 4 | valid |
| 1.0ms | 6× | 1 | invalid |
Compiled 98 078 to 61 506 computations (37.3% saved)
ival-cos: 1.9s (35% of total)ival-sin: 1.3s (23.8% of total)ival-mult: 706.0ms (12.8% of total)adjust: 337.0ms (6.1% of total)ival-sub: 230.0ms (4.2% of total)ival-div: 228.0ms (4.1% of total)ival-pow2: 181.0ms (3.3% of total)ival-atan2: 96.0ms (1.7% of total)ival-add: 94.0ms (1.7% of total)ival-sqrt: 75.0ms (1.4% of total)ival-acos: 69.0ms (1.3% of total)ival-tan: 62.0ms (1.1% of total)ival-hypot: 52.0ms (0.9% of total)ival-exp: 31.0ms (0.6% of total)ival-atan: 28.0ms (0.5% of total)ival-neg: 20.0ms (0.4% of total)ival-pi: 14.0ms (0.3% of total)ival-true: 14.0ms (0.3% of total)ival-fabs: 10.0ms (0.2% of total)ival-assert: 8.0ms (0.1% of total)exact: 7.0ms (0.1% of total)ival-asin: 5.0ms (0.1% of total)ival-log: 5.0ms (0.1% of total)ival-log1p: 1.0ms (0% of total)Loading profile data...