Herbie run
| Date: | Wednesday, September 11th, 2024 |
|---|---|
| Commit: | b5881a3c on zane-concrete-values |
| Hostname: | nightly with Racket 8.11.1 |
| Seed: | 2024255 |
| 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)
| 22.6s | 43 348× | 1 | valid |
| 9.8s | 109 903× | 0 | valid |
| 8.8s | 6 345× | 5 | exit |
| 4.1s | 11 869× | 2 | valid |
| 1.0s | 10 294× | 1 | exit |
| 485.0ms | 3 968× | 0 | invalid |
| 185.0ms | 1 344× | 0 | exit |
| 0.0ms | 1× | 3 | exit |
ival-tan: 9.0s (23.2% of total)const: 4.5s (11.7% of total)ival-exp: 3.8s (9.9% of total)ival-pow: 3.2s (8.2% of total)adjust: 2.8s (7.2% of total)ival-cos: 2.3s (5.8% of total)ival-mult: 1.8s (4.7% of total)ival-acos: 1.6s (4% of total)ival-add: 1.4s (3.6% of total)ival-sqrt: 1.3s (3.3% of total)ival-log: 1.2s (3.1% of total)ival-fmod: 884.0ms (2.3% of total)ival-div: 786.0ms (2% of total)ival-sinh: 738.0ms (1.9% of total)ival-sin: 697.0ms (1.8% of total)ival-sub: 617.0ms (1.6% of total)ival-<=: 554.0ms (1.4% of total)ival-pow2: 472.0ms (1.2% of total)ival-hypot: 261.0ms (0.7% of total)ival-neg: 183.0ms (0.5% of total)ival-and: 123.0ms (0.3% of total)ival-true: 101.0ms (0.3% of total)ival-==: 93.0ms (0.2% of total)exact: 77.0ms (0.2% of total)ival-assert: 73.0ms (0.2% of total)ival-<: 73.0ms (0.2% of total)ival-atan: 62.0ms (0.2% of total)ival->=: 43.0ms (0.1% of total)ival-or: 37.0ms (0.1% of total)ival->: 19.0ms (0% of total)| 164× | egg-herbie |
| 1 139 396× | lower-fma.f32 |
| 1 139 130× | lower-fma.f64 |
| 380 630× | lower-*.f32 |
| 379 982× | lower-*.f64 |
| 223 724× | lower-+.f32 |
| 211× | iter limit |
| 85× | saturated |
| 84× | node limit |
| 669 536× | lower-fma.f32 |
| 669 376× | lower-fma.f64 |
| 332 400× | lower-*.f32 |
| 331 916× | lower-*.f64 |
| 173 162× | lower-+.f32 |
| 140× | iter limit |
| 75× | node limit |
| 14× | fuel |
| 6× | done |
| 5× | saturated |
| 4× | unsound |
Compiled 6 441 to 3 546 computations (44.9% saved)
| 263 064× | lower-*.f32 |
| 262 426× | lower-*.f64 |
| 257 482× | lower-fma.f32 |
| 257 216× | lower-fma.f64 |
| 207 056× | lower-/.f32 |
| 158× | iter limit |
| 64× | node limit |
| 6× | unsound |
| 5× | saturated |
Compiled 1 812 314 to 161 245 computations (91.1% saved)
| 4.2s | 4 950× | 1 | valid |
| 2.4s | 10 707× | 0 | valid |
| 1.9s | 1 714× | 2 | valid |
| 267.0ms | 648× | 0 | invalid |
| 52.0ms | 208× | 1 | exit |
| 41.0ms | 202× | 0 | exit |
| 7.0ms | 2× | 3 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 11 665 to 1 766 computations (84.9% saved)
ival-mult: 1.5s (22.7% of total)ival-cos: 731.0ms (11% of total)adjust: 558.0ms (8.4% of total)ival-pow: 544.0ms (8.2% of total)ival-div: 489.0ms (7.4% of total)ival-add: 482.0ms (7.2% of total)ival-sin: 356.0ms (5.4% of total)ival-tan: 330.0ms (5% of total)ival-log: 324.0ms (4.9% of total)ival-sub: 309.0ms (4.6% of total)ival-sqrt: 182.0ms (2.7% of total)const: 152.0ms (2.3% of total)ival-pow2: 120.0ms (1.8% of total)ival-neg: 113.0ms (1.7% of total)ival-sinh: 112.0ms (1.7% of total)ival-exp: 99.0ms (1.5% of total)ival-fmod: 63.0ms (0.9% of total)ival-acos: 51.0ms (0.8% of total)ival-asin: 26.0ms (0.4% of total)ival-hypot: 23.0ms (0.3% of total)ival-cbrt: 22.0ms (0.3% of total)exact: 21.0ms (0.3% of total)ival-true: 15.0ms (0.2% of total)ival-pi: 8.0ms (0.1% of total)ival-assert: 8.0ms (0.1% of total)ival-atan: 3.0ms (0% of total)55 calls:
| 908.0ms | a |
| 793.0ms | x |
| 721.0ms | b |
| 591.0ms | r |
| 565.0ms | (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) |
Compiled 1 882 to 2 115 computations (-12.4% saved)
Compiled 62 823 to 36 741 computations (41.5% saved)
396 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 218.0ms | x | @ | 0 | ((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (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) (* (pow (* 4 x) 1/4) (pow x 3/4)) (pow (* 4 x) 1/4) (* 4 x) (pow x 3/4)) |
| 196.0ms | a | @ | inf | ((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* (/ -1 (cos (+ a b))) (neg (sin b))) (* r (* (/ -1 (cos (+ a b))) (neg (sin b)))) (/ -1 (cos (+ a b))) (cos (+ a b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (cos b) (cos a)) (+ (* (neg b) (sin a)) (cos a)) (* (* (cos a) -1/2) b)) |
| 158.0ms | x | @ | 0 | ((+ (* (- (/ 1 lo) (/ (/ x lo) lo)) (/ hi lo)) (- (/ 1 lo) (/ (/ x lo) lo))) (+ (* (+ (* (- (/ 1 lo) (/ (/ x lo) lo)) (/ hi lo)) (- (/ 1 lo) (/ (/ x lo) lo))) hi) (- 1 (/ x lo))) (/ (- x lo) (- hi lo)) (- (/ 1 lo) (/ (/ x lo) lo)) (/ (- x lo) (- hi lo)) (/ (- x lo) (- hi lo)) (/ (- x lo) hi) (- x lo) (/ (- x lo) (- hi lo)) (- (/ (- hi x) lo) -1) (/ (- hi x) lo) (- hi x) (/ (- x lo) (- hi lo)) (+ (* (- (/ hi lo) -1) (/ (- hi x) lo)) 1) (- (/ hi lo) -1) (/ hi lo)) |
| 154.0ms | a | @ | -inf | ((/ (+ (* (+ (tan z) (tan y)) (cos a)) (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a)))) (* (+ (* (neg (tan z)) (tan y)) 1) (cos a))) (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a))) (+ x (/ (+ (* (+ (tan z) (tan y)) (cos a)) (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a)))) (* (+ (* (neg (tan z)) (tan y)) 1) (cos a)))) (+ (* (+ (tan z) (tan y)) (cos a)) (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a)))) (- (tan (+ z y)) (- (tan a) x)) (tan (+ z y)) (+ z y) (- (tan a) x) (/ 1 (/ 1 (+ z y))) (+ x (- (tan (/ 1 (/ 1 (+ z y)))) (tan a))) (- (tan (/ 1 (/ 1 (+ z y)))) (tan a)) (tan (/ 1 (/ 1 (+ z y)))) (+ (* (neg (sin (+ z y))) (/ 1 (neg (cos (+ z y))))) (- x (tan a))) (/ 1 (neg (cos (+ z y)))) (neg (sin (+ z y))) (sin (+ z y)) (neg (* z (/ z (- y z)))) (+ x (- (tan (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z)))))) (tan a))) (- (tan (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z)))))) (tan a)) (tan (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z)))))) (+ (tan z) (tan y)) (+ (* (neg (tan z)) (tan y)) 1) (tan a) (cos (+ z y)) (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z))))) (/ (* y y) (- (pow y 3) (pow z 3))) (- (pow y 3) (pow z 3))) |
| 146.0ms | x | @ | 0 | ((* (pow 4 1/16) (* (pow 4 1/16) (* (pow 4 1/8) x))) (* (pow 4 1/16) (* (pow 4 1/8) x)) (pow 4 1/16) (* (pow 4 1/8) x) (* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt x) (sqrt x)) (sqrt (* 2 (pow x 2))) (* (* (sqrt x) (sqrt x)) (sqrt 2)) (/ -1 (pow x -1)) (sqrt (* 2 (pow x 2))) (* (/ -1 (pow x -1)) (sqrt 2)) (pow x -1) (* (pow x 3/2) (/ (sqrt 2) (sqrt x))) (pow x 3/2) (/ (sqrt 2) (sqrt x)) (sqrt 2)) |
| 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 |
| 26 494× | lower-fma.f32 |
| 26 494× | lower-fma.f64 |
| 5 788× | lower-+.f32 |
| 5 770× | lower-+.f64 |
| 5 074× | unsub-neg |
| 39× | saturated |
| 38× | iter limit |
| 3× | node limit |
Compiled 7 523 to 3 600 computations (52.1% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | #f | oflow-rescue | 557 | 0 |
cos.f64 | #f | sensitivity | 506 | 1 |
sqrt.f64 | #f | uflow-rescue | 359 | 0 |
-.f64 | #f | cancellation | 338 | 1 |
/.f64 | #f | n/o | 259 | 0 |
acos.f64 | (acos.f64 (-.f64 #s(literal 1 binary64) x)) | sensitivity | 255 | 0 |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | sensitivity | 249 | 0 |
tan.f64 | (tan.f64 (+.f64 y z)) | sensitivity | 194 | 0 |
pow.f64 | (pow.f64 l (exp.f64 w)) | sensitivity | 131 | 17 |
*.f64 | #f | n*u | 39 | 0 |
*.f64 | #f | n*o | 38 | 0 |
-.f64 | (-.f64 (*.f64 a a) (*.f64 b b)) | nan-rescue | 22 | 0 |
| ↳ | (*.f64 a a) | overflow | 109 | |
| ↳ | (*.f64 b b) | overflow | 22 | |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | u*o | 18 | 0 |
| ↳ | (pow.f64 c #s(literal 2 binary64)) | underflow | 68 | |
| ↳ | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | overflow | 73 | |
| ↳ | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | overflow | 63 | |
| ↳ | (pow.f64 s #s(literal 2 binary64)) | overflow | 54 | |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | o*u | 12 | 0 |
| ↳ | (pow.f64 c #s(literal 2 binary64)) | overflow | 52 | |
| ↳ | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | underflow | 64 | |
| ↳ | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | underflow | 63 | |
| ↳ | (pow.f64 s #s(literal 2 binary64)) | underflow | 69 | |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | oflow-rescue | 3 | 0 |
| ↳ | (sinh.f64 x) | overflow | 3 | |
| ↳ | (/.f64 (sinh.f64 x) x) | overflow | 3 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2220 | 258 |
| - | 671 | 1971 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2220 | 1 | 257 |
| - | 671 | 18 | 1953 |
| number | freq |
|---|---|
| 0 | 2229 |
| 1 | 2806 |
| 2 | 81 |
| 3 | 4 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 17 | 0 | 1 |
| - | 0 | 0 | 2 |
| 1.3s | 2 662× | 1 | valid |
| 439.0ms | 6 716× | 0 | valid |
| 277.0ms | 758× | 2 | valid |
| 37.0ms | 104× | 1 | exit |
Compiled 1 067 to 440 computations (58.8% saved)
ival-tan: 800.0ms (50.7% of total)adjust: 110.0ms (7% of total)ival-mult: 97.0ms (6.2% of total)ival-cos: 89.0ms (5.6% of total)ival-log: 66.0ms (4.2% of total)ival-fmod: 62.0ms (3.9% of total)ival-sqrt: 49.0ms (3.1% of total)ival-exp: 41.0ms (2.6% of total)ival-sinh: 39.0ms (2.5% of total)ival-sin: 36.0ms (2.3% of total)ival-sub: 35.0ms (2.2% of total)ival-add: 35.0ms (2.2% of total)ival-div: 34.0ms (2.2% of total)ival-pow2: 26.0ms (1.6% of total)ival-acos: 19.0ms (1.2% of total)ival-true: 9.0ms (0.6% of total)ival-pow: 8.0ms (0.5% of total)ival-hypot: 8.0ms (0.5% of total)ival-neg: 5.0ms (0.3% of total)ival-assert: 4.0ms (0.3% of total)ival-atan: 3.0ms (0.2% of total)exact: 2.0ms (0.1% of total)| 39× | binary-search |
| 11× | left-value |
| 37× | narrow-enough |
| 2× | predicate-failed |
| 169.0ms | 2 020× | 0 | valid |
| 98.0ms | 604× | 1 | valid |
| 78.0ms | 144× | 2 | valid |
| 37.0ms | 202× | 0 | invalid |
| 1.0ms | 20× | 0 | exit |
Compiled 4 982 to 5 349 computations (-7.4% saved)
ival-cos: 58.0ms (19.3% of total)ival-exp: 56.0ms (18.6% of total)ival-sin: 35.0ms (11.6% of total)ival-sqrt: 33.0ms (11% of total)ival-pow: 27.0ms (9% of total)ival-mult: 20.0ms (6.7% of total)ival-fmod: 18.0ms (6% of total)adjust: 15.0ms (5% of total)ival-add: 10.0ms (3.3% of total)ival-div: 9.0ms (3% of total)ival-pow2: 8.0ms (2.7% of total)ival-neg: 6.0ms (2% of total)ival-true: 2.0ms (0.7% of total)ival-assert: 1.0ms (0.3% of total)exact: 0.0ms (0% of total)Loading profile data...