Herbie run
| Date: | Wednesday, April 30th, 2025 |
|---|---|
| Commit: | 77680327 on prove-soundness |
| Seed: | 2025120 |
| 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: | 125 739.1 MB |
Time bar (total: 2.3min)
| 26.4s | 44 771× | 2 | valid |
| 16.6s | 97 005× | 1 | valid |
| 16.5s | 147 181× | 0 | invalid |
| 8.3s | 5 944× | 5 | exit |
| 6.0s | 85 814× | 0 | valid |
| 2.5s | 3 573× | 3 | valid |
| 407.0ms | 4 249× | 0 | exit |
| 124.0ms | 1 062× | 1 | exit |
| 96.0ms | 127× | 4 | exit |
| 6.0ms | 5× | 4 | valid |
| 3.0ms | 1× | 3 | exit |
ival-tan: 13.4s (21.5% of total)ival-pow: 8.3s (13.4% of total)adjust: 6.9s (11.1% of total)ival-mult!: 4.7s (7.5% of total)ival-cos: 4.1s (6.6% of total)ival-log: 3.8s (6% of total)ival-sin: 3.2s (5.2% of total)ival-div!: 3.1s (5% of total)ival-exp: 2.3s (3.7% of total)ival-sub!: 2.0s (3.2% of total)ival-expm1: 2.0s (3.2% of total)ival-add!: 1.7s (2.7% of total)ival-fabs: 1.6s (2.6% of total)ival-log1p: 1.5s (2.4% of total)ival-sqrt: 1.2s (1.9% of total)ival-<: 584.0ms (0.9% of total)ival-atan: 398.0ms (0.6% of total)ival-<=: 393.0ms (0.6% of total)ival-and: 325.0ms (0.5% of total)ival-cbrt: 315.0ms (0.5% of total)ival-neg: 291.0ms (0.5% of total)ival-fmin: 87.0ms (0.1% of total)ival-assert: 68.0ms (0.1% of total)ival->: 2.0ms (0% of total)exact: 0.0ms (0% of total)| 269× | iter-limit |
| 105× | node-limit |
| 1× | unsound |
| 23× | fuel |
| 5× | done |
Compiled 3 066 to 1 885 computations (38.5% saved)
Compiled 498 416 to 147 020 computations (70.5% saved)
498 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 201.0ms | a | @ | 0 | ((/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg c) b) (neg c) c b (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (sqrt (* (/ c a) -4)) 1/2) (* (/ b a) -1/2)) (sqrt (* (/ c a) -1)) (* (/ c a) -1) (/ c a) a -1 (/ (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (+ a a)) (+ (sqrt (+ (* (* -4 a) c) (* b b))) (neg b)) (sqrt (* (* a -4) c)) (* (* a -4) c) (* a -4) -4 (+ a a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (/ (+ (* a (/ (* c c) (* b b))) c) b)) (/ (+ (* a (/ (* c c) (* b b))) c) b) (+ (* a (/ (* c c) (* b b))) c) (/ (* c c) (* b b)) (* c c) (* b b) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* (neg c) (+ (* (/ b (* c a)) 1/2) (sqrt (* (/ 1 (* c a)) -1)))) (+ (* (/ b (* c a)) 1/2) (sqrt (* (/ 1 (* c a)) -1))) (/ b (* c a)) (* c a) 1/2 (sqrt (* (/ 1 (* c a)) -1)) (* (/ 1 (* c a)) -1) (/ 1 (* c a)) 1) |
| 197.0ms | b | @ | 0 | ((/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (/ c b) (/ (neg b) a)) (/ c b) c b (/ (neg b) a) (neg b) a (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* (sqrt (/ (* c -4) a)) -1/2) (sqrt (/ (* c -4) a)) (/ (* c -4) a) (* c -4) -4 -1/2 (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* -1/2 (/ b a)) (sqrt (* (/ c a) -1))) (/ b a) (sqrt (* (/ c a) -1)) (neg (sqrt (neg (/ c a)))) (sqrt (neg (/ c a))) (neg (/ c a)) (/ c a) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* -1/2 (/ b a)) (sqrt (* (/ c a) -1))) (* (+ (* (/ b (* c a)) -1/2) (sqrt (* (/ 1 (* c a)) -1))) c) (+ (* (/ b (* c a)) -1/2) (sqrt (* (/ 1 (* c a)) -1))) (/ b (* c a)) (* c a) (sqrt (* (/ 1 (* c a)) -1)) (* (/ 1 (* c a)) -1) (/ 1 (* c a)) 1 -1) |
| 66.0ms | x | @ | 0 | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) (* n x)) (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) (* (exp -1) (exp -1)) (exp -1) -1 (/ (/ (log x) (neg n)) 2) (/ (log x) (neg n)) (log x) x (neg n) n 2 (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (+ (neg (log x)) x) (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) 1 (pow x (/ 1 n)) (+ (/ (log x) n) 1) (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (pow x (/ 1 n)) (/ 1 n) (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- x 1)) |
| 64.0ms | x | @ | 0 | ((- (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (/ (exp (* (* x a) 2)) (- (exp (* x a)) -1)) (exp (* (* x a) 2)) (* (* x a) 2) (* x a) x a 2 (- (exp (* x a)) -1) (exp (* x a)) -1 (/ 1 (- (exp (* x a)) -1)) 1/2 (- (/ (pow (exp 2) (* x a)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))) (/ (pow (exp 2) (* x a)) (- (exp (* x a)) -1)) (pow (exp 2) (* x a)) (exp 2) (/ 1 (- (exp (* x a)) -1)) 1 (/ (- (exp (* (* x a) 3)) 1) (+ (- (exp (* x a)) -1) (exp (* (* x a) 2)))) (- (exp (* (* x a) 3)) 1) (* (* x a) 3) 3 (+ (- (exp (* x a)) -1) (exp (* (* x a) 2))) (+ (* (* 3 x) a) 3) (* 3 x) (/ (- (pow (/ (exp (* (+ a a) x)) (- (exp (* x a)) -1)) 3) (pow (- (exp (* x a)) -1) -3)) (+ (pow (/ (exp (* (+ a a) x)) (- (exp (* x a)) -1)) 2) (+ (pow (- (exp (* x a)) -1) -2) (* (/ (exp (* (+ a a) x)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1)))))) (- (pow (/ (exp (* (+ a a) x)) (- (exp (* x a)) -1)) 3) (pow (- (exp (* x a)) -1) -3)) (pow (/ (exp (* (+ a a) x)) (- (exp (* x a)) -1)) 3) (/ (exp (* (+ a a) x)) (- (exp (* x a)) -1)) (exp (* (+ a a) x)) (* (+ a a) x) (+ a a) (pow (- (exp (* x a)) -1) -3) -3 (+ (pow (/ (exp (* (+ a a) x)) (- (exp (* x a)) -1)) 2) (+ (pow (- (exp (* x a)) -1) -2) (* (/ (exp (* (+ a a) x)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1))))) (pow (/ (exp (* (+ a a) x)) (- (exp (* x a)) -1)) 2) (+ (pow (- (exp (* x a)) -1) -2) (* (/ (exp (* (+ a a) x)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1)))) (pow (- (exp (* x a)) -1) -2) -2 (* (/ (exp (* (+ a a) x)) (- (exp (* x a)) -1)) (/ 1 (- (exp (* x a)) -1)))) |
| 61.0ms | x | @ | -inf | ((- (cbrt (+ x 1)) (cbrt x)) (* (pow x -2/3) 1/3) (pow x -2/3) x -2/3 1/3 (- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) 1 (cbrt x) (- (cbrt (+ x 1)) (exp (* (log x) 1/3))) (cbrt (+ x 1)) (+ x 1) (exp (* (log x) 1/3)) (* (log x) 1/3) (log x) (- (cbrt (+ x 1)) (cbrt x)) (/ (+ (* (pow x 4/3) 1/3) (* -1/9 (cbrt x))) (* x x)) (+ (* (pow x 4/3) 1/3) (* -1/9 (cbrt x))) (pow x 4/3) 4/3 (* -1/9 (cbrt x)) -1/9 (* x x) (/ (- (- x -1) x) (+ (pow (- x -1) 2/3) (+ (pow x 2/3) (cbrt (* (- x -1) x))))) (- (- x -1) x) (- x -1) -1 (+ (pow (- x -1) 2/3) (+ (pow x 2/3) (cbrt (* (- x -1) x)))) (pow (- x -1) 2/3) 2/3 (+ (pow x 2/3) (cbrt (* (- x -1) x))) (pow x 2/3) (cbrt (* (- x -1) x)) (* (- x -1) x)) |
| 28× | node-limit |
| 1× | iter-limit |
Compiled 5 524 to 3 990 computations (27.8% saved)
43 calls:
| 797.0ms | x |
| 296.0ms | eps |
| 168.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 118.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 116.0ms | (/.f64 #s(literal 1 binary64) n) |
Compiled 1 622 to 1 762 computations (-8.6% saved)
| 28× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 61.1% | 38.9% | 0% | 0% | 0% | 0 |
| 7.4% | 4.5% | 56.6% | 38.9% | 0% | 0% | 0% | 1 |
| 22.3% | 13.6% | 47.5% | 38.9% | 0% | 0% | 0% | 2 |
| 40.2% | 23.5% | 34.9% | 38.9% | 0% | 2.7% | 0% | 3 |
| 53.4% | 31.1% | 27.2% | 38.9% | 0% | 2.8% | 0% | 4 |
| 63% | 36.3% | 21.3% | 38.9% | 0% | 3.6% | 0% | 5 |
| 65.9% | 37.5% | 19.4% | 38.9% | 0% | 4.2% | 0% | 6 |
| 70.4% | 38.8% | 16.3% | 38.9% | 0% | 6% | 0% | 7 |
| 73.6% | 40.2% | 14.4% | 38.9% | 0% | 6.5% | 0% | 8 |
| 76.3% | 40.9% | 12.7% | 38.9% | 0% | 7.5% | 0% | 9 |
| 78.4% | 41.4% | 11.4% | 38.9% | 0% | 8.3% | 0% | 10 |
| 81.1% | 42.4% | 9.9% | 38.9% | 0% | 8.8% | 0% | 11 |
| 82.3% | 42.7% | 9.2% | 38.9% | 0% | 9.3% | 0% | 12 |
Compiled 483 to 337 computations (30.2% saved)
Compiled 64 482 to 49 730 computations (22.9% saved)
| 86× | binary-search |
| 40× | left-value |
| 82× | narrow-enough |
| 4× | predicate-same |
| 362.0ms | 4 782× | 0 | valid |
| 107.0ms | 1 222× | 0 | invalid |
| 87.0ms | 769× | 1 | valid |
| 69.0ms | 289× | 2 | valid |
| 2.0ms | 26× | 0 | exit |
Compiled 23 312 to 24 205 computations (-3.8% saved)
ival-mult!: 102.0ms (28.6% of total)ival-pow: 51.0ms (14.3% of total)ival-div!: 46.0ms (12.9% of total)ival-sqrt: 43.0ms (12.1% of total)adjust: 29.0ms (8.1% of total)ival-neg: 29.0ms (8.1% of total)ival-sub!: 27.0ms (7.6% of total)ival-add!: 11.0ms (3.1% of total)ival-cos: 9.0ms (2.5% of total)ival-cbrt: 7.0ms (2% of total)ival-expm1: 1.0ms (0.3% of total)Loading profile data...