Herbie run
| Date: | Tuesday, April 15th, 2025 |
|---|---|
| Commit: | 5565a39e on main |
| Seed: | 2025105 |
| Parameters: | 256 points for 4 iterations |
| Flags: | reduce:regimesreduce:binary-searchreduce:branch-expressionssetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:proofs default |
| Memory: | 76 637.0 MB |
Time bar (total: 1.2min)
| 11.2s | 15 159× | 5 | exit |
| 7.4s | 39 673× | 1 | valid |
| 6.4s | 108 424× | 0 | valid |
| 6.1s | 17 022× | 2 | valid |
| 465.0ms | 3 737× | 0 | invalid |
| 149.0ms | 1 090× | 1 | exit |
| 104.0ms | 1 406× | 0 | exit |
| 1.0ms | 1× | 4 | exit |
| 0.0ms | 1× | 3 | valid |
ival-exp: 3.5s (13.9% of total)adjust: 3.4s (13.8% of total)ival-pow: 2.8s (11.1% of total)ival-cos: 2.5s (10% of total)ival-log: 1.7s (7% of total)ival-tan: 1.6s (6.4% of total)ival-mult!: 1.5s (5.9% of total)ival-sqrt: 1.4s (5.6% of total)ival-sinh: 1.3s (5% of total)ival-sin: 903.0ms (3.6% of total)ival-fmod: 894.0ms (3.6% of total)ival-div!: 804.0ms (3.2% of total)ival-acos: 777.0ms (3.1% of total)ival-pow2: 600.0ms (2.4% of total)ival-sub!: 413.0ms (1.6% of total)ival-add!: 383.0ms (1.5% of total)ival-hypot: 196.0ms (0.8% of total)ival-neg: 195.0ms (0.8% of total)ival-<=: 63.0ms (0.3% of total)ival-atan: 51.0ms (0.2% of total)ival-and: 33.0ms (0.1% of total)ival-or: 16.0ms (0.1% of total)ival-assert: 4.0ms (0% of total)ival->: 2.0ms (0% of total)ival-<: 2.0ms (0% of total)| 199× | iter-limit |
| 53× | node-limit |
| 17× | unsound |
| 4× | saturated |
53 calls:
| 743.0ms | x |
| 480.0ms | a |
| 300.0ms | r |
| 294.0ms | b |
| 222.0ms | (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))) |
Compiled 1 850 to 2 108 computations (-13.9% saved)
| 13× | fuel |
| 7× | done |
Compiled 4 548 to 1 079 computations (76.3% saved)
Compiled 641 792 to 89 970 computations (86% saved)
399 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 59.0ms | x | @ | -inf | ((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) (- (* 1/2835 (* x x)) 1/180) (* 1/2835 (* x x)) 1/2835 (* x x) x 1/180 1/6 (log (/ (sinh x) x)) (* (* x x) 1/6) (log (/ (sinh x) x)) (* (+ (* (- (* (* (+ (* -1/37800 (* x x)) 1/2835) x) x) 1/180) (* x x)) 1/6) (* x x)) (+ (* (- (* (* (+ (* -1/37800 (* x x)) 1/2835) x) x) 1/180) (* x x)) 1/6) (- (* (* (+ (* -1/37800 (* x x)) 1/2835) x) x) 1/180) (* (* (+ (* -1/37800 (* x x)) 1/2835) x) x) (* (+ (* -1/37800 (* x x)) 1/2835) x) (+ (* -1/37800 (* x x)) 1/2835) -1/37800 (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) 1/120 1 (- (log (sinh x)) (log x)) (log (sinh x)) (sinh x) (log x)) |
| 46.0ms | x | @ | inf | ((* (sqrt (+ x x)) (sqrt x)) (sqrt (+ x x)) (+ x x) x (sqrt x) (sqrt (* (* x 2) x)) (neg (* (sqrt 2) x)) (* (sqrt 2) x) (sqrt 2) 2 (sqrt (* (+ x x) x)) (* (+ x x) x) (pow (* (* (* 2 x) x) (* (* 2 x) x)) 1/4) (* (* (* 2 x) x) (* (* 2 x) x)) (* (* 2 x) x) (* 2 x) 1/4 (* (pow (* (* x x) 2) 1/4) (pow (* (* x x) 2) 1/4)) (pow (* (* x x) 2) 1/4) (* (* x x) 2) (* x x) (pow (* (* x x) 2) 1/4) (* (pow 2 1/4) (sqrt x)) (pow 2 1/4)) |
| 44.0ms | x | @ | 0 | ((* (pow (* (* x 2) x) 1/4) (pow (* (* x 2) x) 1/4)) (pow (* (* x 2) x) 1/4) (* (* x 2) x) (* x 2) x 2 1/4) |
| 42.0ms | a | @ | -inf | ((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b) b (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos b) (cos a) a (* (neg (sin b)) (sin a)) (neg (sin b)) (sin a) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (tan b) (* r (/ (/ 1 (pow (sin b) -1)) (cos (+ a b)))) (/ (/ 1 (pow (sin b) -1)) (cos (+ a b))) (/ 1 (pow (sin b) -1)) 1 (pow (sin b) -1) (/ (+ (* (* b b) 1/6) 1) b) (+ (* (* b b) 1/6) 1) (* b b) 1/6 (cos (+ a b)) (+ a b) (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (- (* (cos b) (cos a)) (* (sin b) (sin a))) (+ (* (neg b) (sin a)) (cos a)) (neg b) (* r (/ (sin b) (- (* (cos b) (cos a)) (* (/ 1 (pow (sin b) -1)) (sin a))))) (/ (sin b) (- (* (cos b) (cos a)) (* (/ 1 (pow (sin b) -1)) (sin a)))) (- (* (cos b) (cos a)) (* (/ 1 (pow (sin b) -1)) (sin a))) (* (cos b) (cos a)) (* (/ 1 (pow (sin b) -1)) (sin a)) (/ 1 (pow (sin b) -1)) (* (+ (* (* b b) -1/6) 1) b) (+ (* (* b b) -1/6) 1) -1/6) |
| 40.0ms | x | @ | inf | ((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) 1 (sqrt (cos x)) (cos x) (exp (neg x)) (neg x) x (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (exp (neg x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (cos x) (+ (* (- (* 1/24 (* x x)) 1/2) (* x x)) 1) (- (* 1/24 (* x x)) 1/2) (* 1/24 (* x x)) 1/24 (* x x) 1/2 (exp (neg x)) (+ (* (+ (* 1/2 x) -1) x) 1) (+ (* 1/2 x) -1) -1 (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (cos x) (+ (* (+ (* (* x x) 1/24) -1/2) (* x x)) 1) (+ (* (* x x) 1/24) -1/2) -1/2 (/ (* (fmod (exp x) (sqrt (cos x))) 1) (exp x)) (* (fmod (exp x) (sqrt (cos x))) 1) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (cos x)) |
| 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)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | #f | oflow-rescue | 597 | 0 |
cos.f64 | #f | sensitivity | 528 | 0 |
-.f64 | #f | cancellation | 329 | 2 |
sqrt.f64 | #f | uflow-rescue | 290 | 0 |
/.f64 | #f | n/o | 257 | 0 |
acos.f64 | (acos.f64 (-.f64 #s(literal 1 binary64) x)) | sensitivity | 253 | 1 |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | sensitivity | 249 | 1 |
tan.f64 | (tan.f64 (+.f64 y z)) | sensitivity | 180 | 1 |
pow.f64 | (pow.f64 l (exp.f64 w)) | sensitivity | 119 | 18 |
*.f64 | #f | n*o | 35 | 0 |
*.f64 | #f | n*u | 32 | 0 |
*.f64 | (*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)) | o*u | 20 | 0 |
| ↳ | (pow.f64 c #s(literal 2 binary64)) | overflow | 68 | |
| ↳ | (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x) | underflow | 69 | |
| ↳ | (*.f64 x (pow.f64 s #s(literal 2 binary64))) | underflow | 62 | |
| ↳ | (pow.f64 s #s(literal 2 binary64)) | underflow | 58 | |
*.f64 | #f | u*o | 20 | 0 |
-.f64 | (-.f64 (*.f64 a a) (*.f64 b b)) | nan-rescue | 18 | 0 |
| ↳ | (*.f64 a a) | overflow | 121 | |
| ↳ | (*.f64 b b) | overflow | 18 | |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | oflow-rescue | 2 | 0 |
| ↳ | (sinh.f64 x) | overflow | 2 | |
| ↳ | (/.f64 (sinh.f64 x) x) | overflow | 2 | |
exp.f64 | (exp.f64 (neg.f64 w)) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2155 | 269 |
| - | 706 | 1990 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2155 | 4 | 265 |
| - | 706 | 19 | 1971 |
| number | freq |
|---|---|
| 0 | 2259 |
| 1 | 2794 |
| 2 | 65 |
| 3 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 17 | 0 | 1 |
| - | 0 | 0 | 2 |
| 455.0ms | 1 082× | 2 | valid |
| 398.0ms | 2 424× | 1 | valid |
| 377.0ms | 6 622× | 0 | valid |
| 17.0ms | 112× | 1 | exit |
Compiled 1 067 to 440 computations (58.8% saved)
adjust: 149.0ms (17.3% of total)ival-cos: 71.0ms (8.2% of total)ival-log: 71.0ms (8.2% of total)ival-tan: 69.0ms (8% of total)ival-sin: 61.0ms (7.1% of total)ival-sqrt: 60.0ms (6.9% of total)ival-sinh: 59.0ms (6.8% of total)ival-mult!: 59.0ms (6.8% of total)ival-exp: 56.0ms (6.5% of total)ival-pow2: 40.0ms (4.6% of total)ival-acos: 39.0ms (4.5% of total)ival-fmod: 38.0ms (4.4% of total)ival-div!: 25.0ms (2.9% of total)ival-sub!: 22.0ms (2.5% of total)ival-add!: 21.0ms (2.4% of total)ival-hypot: 10.0ms (1.2% of total)ival-pow: 8.0ms (0.9% of total)ival-neg: 5.0ms (0.6% of total)ival-atan: 3.0ms (0.3% of total)| 15× | node-limit |
| 5× | saturated |
Compiled 19 602 to 8 510 computations (56.6% saved)
Compiled 88 177 to 45 299 computations (48.6% saved)
| 43× | binary-search |
| 29× | left-value |
| 40× | narrow-enough |
| 3× | predicate-failed |
| 314.0ms | 1 704× | 1 | valid |
| 132.0ms | 1 800× | 0 | valid |
| 64.0ms | 303× | 0 | invalid |
Compiled 15 167 to 12 431 computations (18% saved)
ival-tan: 106.0ms (26.5% of total)ival-cos: 69.0ms (17.2% of total)adjust: 41.0ms (10.2% of total)ival-neg: 32.0ms (8% of total)ival-exp: 30.0ms (7.5% of total)ival-sin: 30.0ms (7.5% of total)ival-mult!: 22.0ms (5.5% of total)ival-fmod: 20.0ms (5% of total)ival-add!: 16.0ms (4% of total)ival-div!: 11.0ms (2.7% of total)ival-pow2: 8.0ms (2% of total)ival-sqrt: 6.0ms (1.5% of total)ival-pow: 6.0ms (1.5% of total)ival-sub!: 4.0ms (1% of total)Loading profile data...