Herbie run
| Date: | Thursday, November 21st, 2024 |
|---|---|
| Commit: | d1b0bfd6 on main |
| Hostname: | nightly with Racket 8.10 |
| Seed: | 2024326 |
| Parameters: | 256 points for 4 iterations |
| Flags: | localize:costslocalize:errorsreduce:regimesreduce:binary-searchreduce:branch-expressionssetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:proofs default |
Time bar (total: 2.2min)
| 12.0s | 109 958× | 0 | valid |
| 10.1s | 43 295× | 1 | valid |
| 8.1s | 6 306× | 5 | exit |
| 4.2s | 11 867× | 2 | valid |
| 1.2s | 10 102× | 1 | exit |
| 411.0ms | 3 950× | 0 | invalid |
| 117.0ms | 1 432× | 0 | exit |
const: 5.6s (19.1% of total)ival-exp: 3.7s (12.5% of total)ival-pow: 3.1s (10.5% of total)ival-mult: 2.4s (8.2% of total)ival-cos: 2.0s (6.9% of total)adjust: 2.0s (6.9% of total)ival-tan: 1.4s (4.6% of total)ival-log: 1.2s (4.1% of total)ival-sqrt: 1.1s (3.7% of total)ival-fmod: 865.0ms (2.9% of total)ival-<=: 807.0ms (2.7% of total)ival-sub: 728.0ms (2.5% of total)ival-add: 713.0ms (2.4% of total)ival-sinh: 694.0ms (2.4% of total)ival-sin: 638.0ms (2.2% of total)ival-div: 539.0ms (1.8% of total)ival-acos: 463.0ms (1.6% of total)ival-pow2: 378.0ms (1.3% of total)ival-neg: 176.0ms (0.6% of total)ival-hypot: 160.0ms (0.5% of total)ival-and: 123.0ms (0.4% of total)ival-==: 111.0ms (0.4% of total)ival-true: 102.0ms (0.3% of total)exact: 82.0ms (0.3% of total)ival-assert: 78.0ms (0.3% of total)ival-atan: 71.0ms (0.2% of total)ival-<: 70.0ms (0.2% of total)ival-or: 39.0ms (0.1% of total)ival->: 30.0ms (0.1% of total)ival->=: 24.0ms (0.1% of total)| 162× | egg-herbie |
| 209× | iter limit |
| 114× | node limit |
| 52× | saturated |
| 137× | iter limit |
| 67× | node limit |
| 14× | fuel |
| 8× | unsound |
| 6× | saturated |
| 6× | done |
Compiled 8 146 to 3 839 computations (52.9% saved)
| 175× | iter limit |
| 54× | node limit |
| 15× | unsound |
| 5× | saturated |
| 4.5s | 5 431× | 1 | valid |
| 2.1s | 10 366× | 0 | valid |
| 1.8s | 1 600× | 2 | valid |
| 151.0ms | 282× | 1 | exit |
| 69.0ms | 390× | 0 | invalid |
| 44.0ms | 107× | 0 | exit |
Compiled 12 770 to 1 806 computations (85.9% saved)
ival-mult: 1.1s (17% of total)adjust: 741.0ms (11.1% of total)ival-pow: 594.0ms (8.9% of total)ival-add: 568.0ms (8.5% of total)ival-cos: 525.0ms (7.8% of total)ival-sin: 492.0ms (7.3% of total)ival-div: 445.0ms (6.6% of total)ival-sub: 351.0ms (5.2% of total)ival-tan: 308.0ms (4.6% of total)const: 283.0ms (4.2% of total)ival-log: 225.0ms (3.4% of total)ival-sqrt: 201.0ms (3% of total)ival-pow2: 160.0ms (2.4% of total)ival-exp: 141.0ms (2.1% of total)ival-fmod: 115.0ms (1.7% of total)ival-cosh: 87.0ms (1.3% of total)ival-sinh: 78.0ms (1.2% of total)ival-acos: 57.0ms (0.9% of total)ival-neg: 50.0ms (0.7% of total)ival-asin: 42.0ms (0.6% of total)ival-hypot: 42.0ms (0.6% of total)exact: 19.0ms (0.3% of total)ival-true: 15.0ms (0.2% of total)ival-pi: 13.0ms (0.2% of total)ival-assert: 8.0ms (0.1% of total)ival-atan: 1.0ms (0% of total)Compiled 1 328 267 to 127 791 computations (90.4% saved)
53 calls:
| 557.0ms | x |
| 391.0ms | a |
| 350.0ms | b |
| 302.0ms | r |
| 188.0ms | s |
Compiled 1 399 to 1 597 computations (-14.2% saved)
| 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 |
| 38× | iter limit |
| 27× | saturated |
| 15× | node limit |
Compiled 8 265 to 2 954 computations (64.3% saved)
Compiled 93 441 to 44 625 computations (52.2% saved)
393 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 146.0ms | l | @ | -inf | ((* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (- 1 w) (pow l (exp w)) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (- 1 w) (neg w) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (+ (* (- (* 1/2 w) 1) w) 1) (* (* w w) 1/2) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (+ (* (- (* 1/2 w) 1) w) 1) (- (* 1/2 w) 1) (* (exp (neg w)) (pow (pow l (pow (- (pow (cosh w) 3) (pow (sinh w) 3)) -1)) (+ (* (sinh w) (exp w)) (pow (cosh w) 2)))) (exp (neg w)) (pow (pow l (pow (- (pow (cosh w) 3) (pow (sinh w) 3)) -1)) (+ (* (sinh w) (exp w)) (pow (cosh w) 2))) (exp w) (exp w) (pow l (exp w)) (* 1/2 w) (- (pow (cosh w) 3) (pow (sinh w) 3)) (pow l (pow (- (pow (cosh w) 3) (pow (sinh w) 3)) -1)) (sinh w)) |
| 77.0ms | w | @ | inf | ((* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (- 1 w) (pow l (exp w)) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (- 1 w) (neg w) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (+ (* (- (* 1/2 w) 1) w) 1) (* (* w w) 1/2) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (+ (* (- (* 1/2 w) 1) w) 1) (- (* 1/2 w) 1) (* (exp (neg w)) (pow (pow l (pow (- (pow (cosh w) 3) (pow (sinh w) 3)) -1)) (+ (* (sinh w) (exp w)) (pow (cosh w) 2)))) (exp (neg w)) (pow (pow l (pow (- (pow (cosh w) 3) (pow (sinh w) 3)) -1)) (+ (* (sinh w) (exp w)) (pow (cosh w) 2))) (exp w) (exp w) (pow l (exp w)) (* 1/2 w) (- (pow (cosh w) 3) (pow (sinh w) 3)) (pow l (pow (- (pow (cosh w) 3) (pow (sinh w) 3)) -1)) (sinh w)) |
| 57.0ms | r | @ | -inf | ((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (* (neg (sin a)) (sin b)) (cos b) (+ (* (neg (sin a)) b) (cos a)) (* (sin a) (sin b))) |
| 54.0ms | w | @ | -inf | ((* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (- 1 w) (pow l (exp w)) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (- 1 w) (neg w) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (+ (* (- (* 1/2 w) 1) w) 1) (* (* w w) 1/2) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (+ (* (- (* 1/2 w) 1) w) 1) (- (* 1/2 w) 1) (* (exp (neg w)) (pow (pow l (pow (- (pow (cosh w) 3) (pow (sinh w) 3)) -1)) (+ (* (sinh w) (exp w)) (pow (cosh w) 2)))) (exp (neg w)) (pow (pow l (pow (- (pow (cosh w) 3) (pow (sinh w) 3)) -1)) (+ (* (sinh w) (exp w)) (pow (cosh w) 2))) (exp w) (exp w) (pow l (exp w)) (* 1/2 w) (- (pow (cosh w) 3) (pow (sinh w) 3)) (pow l (pow (- (pow (cosh w) 3) (pow (sinh w) 3)) -1)) (sinh w)) |
| 52.0ms | x | @ | inf | ((log (/ (sinh x) x)) (* (+ (* (+ (* (pow x 4) -1/37800) (- (* 1/2835 (* x x)) 1/180)) (* x x)) 1/6) (* x x)) (+ (* (+ (* (pow x 4) -1/37800) (- (* 1/2835 (* x x)) 1/180)) (* x x)) 1/6) (+ (* (pow x 4) -1/37800) (- (* 1/2835 (* x x)) 1/180)) (log (/ (sinh x) x)) (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) x) (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* (/ (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (- (* (* -1/180 (* x x)) x) (* 1/6 x))) x) (* (* -1/180 (* x x)) x) (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (* 1/2835 (* x x)) (- (* 1/2835 (* x x)) 1/180) (/ (- (* (* (* -1/180 (* x x)) x) (* (* -1/180 (* x x)) x)) (* 1/36 (* x x))) (- (* (* -1/180 (* x x)) x) (* 1/6 x))) (log (/ (sinh x) x)) (* 1/6 x) (* -1/180 (* x x)) (* 1/120 (* x x)) (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | #f | oflow-rescue | 581 | 0 |
cos.f64 | #f | sensitivity | 502 | 0 |
-.f64 | #f | cancellation | 340 | 1 |
sqrt.f64 | #f | uflow-rescue | 325 | 0 |
/.f64 | #f | n/o | 256 | 0 |
acos.f64 | (acos.f64 (-.f64 #s(literal 1 binary64) x)) | sensitivity | 256 | 0 |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | sensitivity | 252 | 0 |
tan.f64 | (tan.f64 (+.f64 y z)) | sensitivity | 185 | 0 |
pow.f64 | (pow.f64 l (exp.f64 w)) | sensitivity | 126 | 9 |
*.f64 | #f | n*o | 46 | 0 |
*.f64 | #f | n*u | 36 | 0 |
*.f64 | #f | u*o | 22 | 0 |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | o*u | 17 | 0 |
| ↳ | (pow.f64 c #s(literal 2 binary64)) | overflow | 61 | |
| ↳ | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | underflow | 57 | |
| ↳ | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | underflow | 44 | |
| ↳ | (pow.f64 s #s(literal 2 binary64)) | underflow | 46 | |
-.f64 | (-.f64 (*.f64 a a) (*.f64 b b)) | nan-rescue | 15 | 0 |
| ↳ | (*.f64 a a) | overflow | 115 | |
| ↳ | (*.f64 b b) | overflow | 15 | |
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 | |
/.f64 | (/.f64 (-.f64 x lo) (-.f64 hi lo)) | o/o | 1 | 0 |
| ↳ | (-.f64 x lo) | overflow | 1 | |
| ↳ | (-.f64 hi lo) | overflow | 256 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2196 | 258 |
| - | 696 | 1970 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2196 | 1 | 257 |
| - | 696 | 9 | 1961 |
| number | freq |
|---|---|
| 0 | 2228 |
| 1 | 2823 |
| 2 | 67 |
| 3 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 18 | 0 | 0 |
| - | 0 | 0 | 2 |
| 562.0ms | 6 728× | 0 | valid |
| 531.0ms | 2 662× | 1 | valid |
| 340.0ms | 750× | 2 | valid |
| 18.0ms | 100× | 1 | exit |
Compiled 1 067 to 440 computations (58.8% saved)
ival-mult: 135.0ms (13.4% of total)ival-tan: 86.0ms (8.5% of total)ival-cos: 80.0ms (7.9% of total)ival-log: 79.0ms (7.8% of total)ival-sqrt: 78.0ms (7.7% of total)adjust: 67.0ms (6.6% of total)ival-exp: 64.0ms (6.3% of total)ival-neg: 57.0ms (5.7% of total)ival-fmod: 56.0ms (5.6% of total)ival-add: 51.0ms (5.1% of total)ival-hypot: 49.0ms (4.9% of total)ival-sin: 37.0ms (3.7% of total)ival-sub: 36.0ms (3.6% of total)ival-sinh: 34.0ms (3.4% of total)ival-div: 29.0ms (2.9% of total)ival-acos: 23.0ms (2.3% of total)ival-pow2: 21.0ms (2.1% of total)ival-true: 9.0ms (0.9% of total)ival-pow: 8.0ms (0.8% of total)ival-assert: 4.0ms (0.4% of total)ival-atan: 3.0ms (0.3% of total)exact: 2.0ms (0.2% of total)| 39× | binary-search |
| 11× | left-value |
| 37× | narrow-enough |
| 2× | predicate-failed |
| 243.0ms | 1 159× | 1 | valid |
| 238.0ms | 1 561× | 0 | valid |
| 47.0ms | 202× | 0 | invalid |
Compiled 14 408 to 10 738 computations (25.5% saved)
ival-add: 113.0ms (27.7% of total)ival-tan: 61.0ms (14.9% of total)ival-cos: 55.0ms (13.5% of total)ival-sin: 54.0ms (13.2% of total)ival-fmod: 26.0ms (6.4% of total)adjust: 25.0ms (6.1% of total)ival-mult: 21.0ms (5.1% of total)ival-exp: 15.0ms (3.7% of total)ival-div: 12.0ms (2.9% of total)ival-pow2: 8.0ms (2% of total)ival-sqrt: 6.0ms (1.5% of total)ival-sub: 4.0ms (1% of total)ival-neg: 4.0ms (1% of total)ival-true: 2.0ms (0.5% of total)ival-assert: 1.0ms (0.2% of total)ival-pow: 1.0ms (0.2% of total)exact: 0.0ms (0% of total)Loading profile data...