Herbie run
| Date: | Tuesday, September 24th, 2024 |
|---|---|
| Commit: | 6490ee3d on main |
| Hostname: | nightly with Racket 8.10 |
| Seed: | 2024268 |
| 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: 3.2min)
| 20.6s | 43 674× | 1 | valid |
| 9.5s | 6 379× | 5 | exit |
| 9.0s | 109 710× | 0 | valid |
| 4.4s | 11 736× | 2 | valid |
| 1.1s | 10 187× | 1 | exit |
| 443.0ms | 3 964× | 0 | invalid |
| 139.0ms | 1 363× | 0 | exit |
| 0.0ms | 1× | 3 | exit |
ival-tan: 8.4s (22.5% of total)ival-exp: 4.1s (11% of total)ival-pow: 4.0s (10.7% of total)const: 3.9s (10.6% of total)ival-cos: 2.8s (7.5% of total)adjust: 2.0s (5.4% of total)ival-mult: 1.6s (4.4% of total)ival-log: 1.3s (3.4% of total)ival-sqrt: 1.1s (3% of total)ival-fmod: 1.1s (2.9% of total)ival-add: 1.0s (2.7% of total)ival-sub: 915.0ms (2.4% of total)ival-<=: 792.0ms (2.1% of total)ival-sin: 733.0ms (2% of total)ival-sinh: 713.0ms (1.9% of total)ival-div: 690.0ms (1.8% of total)ival-acos: 609.0ms (1.6% of total)ival-pow2: 377.0ms (1% of total)ival-hypot: 174.0ms (0.5% of total)ival-neg: 170.0ms (0.5% of total)ival-and: 121.0ms (0.3% of total)ival-true: 107.0ms (0.3% of total)ival-==: 99.0ms (0.3% of total)exact: 84.0ms (0.2% of total)ival-assert: 77.0ms (0.2% of total)ival->=: 77.0ms (0.2% of total)ival-<: 69.0ms (0.2% of total)ival-atan: 47.0ms (0.1% of total)ival-or: 40.0ms (0.1% of total)ival->: 23.0ms (0.1% of total)| 157× | iter limit |
| 86× | node limit |
| 14× | fuel |
| 6× | done |
| 4× | saturated |
| 4× | unsound |
Compiled 6 584 to 3 889 computations (40.9% saved)
| 164× | egg-herbie |
| 213× | iter limit |
| 85× | saturated |
| 82× | node limit |
| 159× | iter limit |
| 66× | node limit |
| 5× | unsound |
| 3× | saturated |
Compiled 1 982 119 to 172 661 computations (91.3% saved)
| 4.2s | 5 220× | 1 | valid |
| 2.7s | 10 966× | 0 | valid |
| 1.4s | 1 474× | 2 | valid |
| 119.0ms | 390× | 0 | invalid |
| 95.0ms | 153× | 1 | exit |
| 51.0ms | 207× | 0 | exit |
| 31.0ms | 22× | 3 | valid |
Compiled 12 138 to 1 796 computations (85.2% saved)
ival-mult: 1.5s (23% of total)ival-div: 661.0ms (10.2% of total)adjust: 629.0ms (9.7% of total)ival-add: 444.0ms (6.9% of total)ival-cos: 414.0ms (6.4% of total)ival-pow: 361.0ms (5.6% of total)ival-tan: 357.0ms (5.5% of total)ival-sqrt: 305.0ms (4.7% of total)ival-sub: 298.0ms (4.6% of total)ival-sin: 258.0ms (4% of total)ival-log: 252.0ms (3.9% of total)const: 231.0ms (3.6% of total)ival-pow2: 146.0ms (2.3% of total)ival-exp: 134.0ms (2.1% of total)ival-neg: 120.0ms (1.9% of total)ival-fmod: 86.0ms (1.3% of total)ival-sinh: 70.0ms (1.1% of total)ival-acos: 45.0ms (0.7% of total)ival-atan: 37.0ms (0.6% of total)ival-asin: 32.0ms (0.5% of total)ival-hypot: 31.0ms (0.5% of total)exact: 23.0ms (0.4% of total)ival-true: 16.0ms (0.2% of total)ival-cbrt: 14.0ms (0.2% of total)ival-assert: 8.0ms (0.1% of total)ival-pi: 7.0ms (0.1% of total)53 calls:
| 1.5s | a |
| 826.0ms | x |
| 623.0ms | b |
| 526.0ms | r |
| 522.0ms | (tan.f64 a) |
Compiled 1 877 to 2 086 computations (-11.1% saved)
Compiled 72 004 to 39 668 computations (44.9% saved)
393 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 173.0ms | w | @ | inf | ((exp (neg w)) (neg w) (pow l (exp w)) (exp w) (* (exp (neg w)) (pow l (exp w)))) |
| 108.0ms | x | @ | 0 | ((* (pow (* 4 x) 1/4) (pow x 3/4)) (pow (* 4 x) 1/4) (* 4 x) (pow x 3/4) (* (sqrt 2) x) (sqrt 2) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (pow (* 4 (pow x 4)) 1/4) (* 4 (pow x 4)) (pow x 4) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x)) |
| 97.0ms | x | @ | 0 | ((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (* (pow x 3/4) (sqrt (* (sqrt x) 2))) (pow x 3/4) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (pow (* (pow x 4) 4) 1/4) (* (pow x 4) 4) (pow x 4) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x)) |
| 88.0ms | z | @ | -inf | ((+ (* (/ -1 (+ (* (tan z) (tan y)) -1)) (+ (tan z) (tan y))) (neg (tan a))) (+ x (+ (* (/ -1 (+ (* (tan z) (tan y)) -1)) (+ (tan z) (tan y))) (neg (tan a)))) (/ -1 (+ (* (tan z) (tan y)) -1)) (+ (* (tan z) (tan y)) -1) (- (tan (+ z y)) (- (tan a) x)) (tan (+ z y)) (+ z y) (- (tan a) x) (- (tan (* (- z y) (* (+ y z) (pow (- z y) -1)))) (- (tan a) x)) (tan (* (- z y) (* (+ y z) (pow (- z y) -1)))) (* (- z y) (* (+ y z) (pow (- z y) -1))) (- z y) (+ (* (+ (tan y) (tan z)) (/ -1 (+ (* (tan y) (tan z)) -1))) (- x (tan a))) (+ (tan y) (tan z)) (tan y) (tan z) (* (/ (+ z y) (- z y)) (neg y)) (- 1 (* (tan (* (/ (+ z y) (- z y)) z)) (tan (* (/ (+ z y) (- z y)) (neg y))))) (- (/ (+ (tan (* (/ (+ z y) (- z y)) z)) (tan (* (/ (+ z y) (- z y)) (neg y)))) (- 1 (* (tan (* (/ (+ z y) (- z y)) z)) (tan (* (/ (+ z y) (- z y)) (neg y)))))) (- (tan a) x)) (/ (+ (tan (* (/ (+ z y) (- z y)) z)) (tan (* (/ (+ z y) (- z y)) (neg y)))) (- 1 (* (tan (* (/ (+ z y) (- z y)) z)) (tan (* (/ (+ z y) (- z y)) (neg y)))))) (+ (tan z) (tan y)) (* (+ y z) (pow (- z y) -1)) (- (tan a) x) (+ (* (tan y) (tan z)) -1) (- x (tan a)) (- (tan a) x) (tan (* (/ (+ z y) (- z y)) (neg y))) (tan (* (/ (+ z y) (- z y)) z)) (* (tan (* (/ (+ z y) (- z y)) z)) (tan (* (/ (+ z y) (- z y)) (neg y))))) |
| 88.0ms | x | @ | -inf | ((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (* (pow x 3/4) (sqrt (* (sqrt x) 2))) (pow x 3/4) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (pow (* (pow x 4) 4) 1/4) (* (pow x 4) 4) (pow x 4) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | #f | oflow-rescue | 599 | 0 |
cos.f64 | #f | sensitivity | 520 | 1 |
-.f64 | #f | cancellation | 349 | 0 |
sqrt.f64 | #f | uflow-rescue | 321 | 0 |
/.f64 | (/.f64 (-.f64 x lo) (-.f64 hi lo)) | n/o | 256 | 0 |
| ↳ | (-.f64 hi lo) | overflow | 256 | |
acos.f64 | (acos.f64 (-.f64 #s(literal 1 binary64) x)) | sensitivity | 255 | 1 |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | sensitivity | 243 | 0 |
tan.f64 | (tan.f64 (+.f64 y z)) | sensitivity | 189 | 1 |
pow.f64 | (pow.f64 l (exp.f64 w)) | sensitivity | 126 | 8 |
*.f64 | #f | n*u | 35 | 0 |
*.f64 | #f | n*o | 34 | 0 |
-.f64 | (-.f64 (*.f64 a a) (*.f64 b b)) | nan-rescue | 19 | 0 |
| ↳ | (*.f64 a a) | overflow | 111 | |
| ↳ | (*.f64 b b) | overflow | 19 | |
*.f64 | #f | u*o | 19 | 0 |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | o*u | 16 | 0 |
| ↳ | (pow.f64 c #s(literal 2 binary64)) | overflow | 65 | |
| ↳ | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | underflow | 62 | |
| ↳ | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | underflow | 55 | |
| ↳ | (pow.f64 s #s(literal 2 binary64)) | underflow | 55 | |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | oflow-rescue | 5 | 0 |
| ↳ | (sinh.f64 x) | overflow | 5 | |
| ↳ | (/.f64 (sinh.f64 x) x) | overflow | 5 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2229 | 271 |
| - | 686 | 1934 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2229 | 0 | 271 |
| - | 686 | 13 | 1921 |
| number | freq |
|---|---|
| 0 | 2205 |
| 1 | 2845 |
| 2 | 69 |
| 3 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 18 | 0 | 0 |
| - | 0 | 0 | 2 |
| 2.1s | 6 716× | 0 | valid |
| 532.0ms | 2 700× | 1 | valid |
| 291.0ms | 722× | 2 | valid |
| 14.0ms | 102× | 1 | exit |
Compiled 1 067 to 440 computations (58.8% saved)
ival-cos: 96.0ms (9.3% of total)ival-mult: 92.0ms (8.9% of total)ival-log: 87.0ms (8.4% of total)ival-neg: 82.0ms (7.9% of total)ival-tan: 70.0ms (6.8% of total)adjust: 69.0ms (6.7% of total)ival-sqrt: 66.0ms (6.4% of total)ival-exp: 58.0ms (5.6% of total)ival-sin: 58.0ms (5.6% of total)ival-add: 55.0ms (5.3% of total)ival-atan: 55.0ms (5.3% of total)ival-div: 53.0ms (5.1% of total)ival-sinh: 52.0ms (5% of total)ival-sub: 38.0ms (3.7% of total)ival-fmod: 28.0ms (2.7% of total)ival-pow2: 22.0ms (2.1% of total)ival-acos: 20.0ms (1.9% of total)ival-pow: 9.0ms (0.9% of total)ival-hypot: 9.0ms (0.9% of total)ival-true: 9.0ms (0.9% of total)ival-assert: 4.0ms (0.4% of total)exact: 2.0ms (0.2% of total)| 20× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 73.7% | 26.3% | 0% | 0% | 0% | 0 |
| 28.8% | 21.3% | 52.5% | 26.3% | 0% | 0% | 0% | 1 |
| 44.1% | 32.5% | 41.2% | 26.3% | 0% | 0% | 0% | 2 |
| 52.6% | 38.7% | 35% | 26.3% | 0% | 0% | 0% | 3 |
| 61.9% | 45.6% | 28.1% | 26.3% | 0% | 0% | 0% | 4 |
| 65.2% | 47.5% | 25.3% | 26.3% | 0% | 0.9% | 0% | 5 |
| 66.8% | 48.4% | 24% | 26.3% | 0% | 1.2% | 0% | 6 |
| 71.1% | 51.1% | 20.8% | 26.3% | 0% | 1.9% | 0% | 7 |
| 72.1% | 51.6% | 20% | 26.3% | 0% | 2.1% | 0% | 8 |
| 74.4% | 53% | 18.2% | 26.3% | 0% | 2.5% | 0% | 9 |
| 75.8% | 53.9% | 17.2% | 26.3% | 0% | 2.6% | 0% | 10 |
| 76.6% | 54.3% | 16.6% | 26.3% | 0% | 2.8% | 0% | 11 |
| 77.3% | 54.8% | 16.1% | 26.3% | 0% | 2.9% | 0% | 12 |
Compiled 279 to 216 computations (22.6% saved)
| 20× | egg-herbie |
| 39× | saturated |
| 38× | iter limit |
| 3× | node limit |
Compiled 7 783 to 3 620 computations (53.5% saved)
| 45× | binary-search |
| 16× | left-value |
| 45× | narrow-enough |
| 290.0ms | 896× | 1 | valid |
| 184.0ms | 2 160× | 0 | valid |
Compiled 8 526 to 7 953 computations (6.7% saved)
ival-tan: 154.0ms (40.9% of total)ival-add: 51.0ms (13.5% of total)ival-mult: 27.0ms (7.2% of total)ival-cos: 23.0ms (6.1% of total)ival-pow: 23.0ms (6.1% of total)adjust: 19.0ms (5% of total)ival-sin: 18.0ms (4.8% of total)ival-sqrt: 15.0ms (4% of total)ival-pow2: 14.0ms (3.7% of total)ival-exp: 11.0ms (2.9% of total)ival-div: 7.0ms (1.9% of total)ival-sub: 6.0ms (1.6% of total)ival-true: 3.0ms (0.8% of total)ival-neg: 3.0ms (0.8% of total)ival-assert: 1.0ms (0.3% of total)exact: 0.0ms (0% of total)Loading profile data...