Herbie run
| Date: | Tuesday, May 20th, 2025 |
|---|---|
| Commit: | e475129d on soundness-through-fabs |
| Seed: | 2025140 |
| 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: | 141 303.8 MB |
Time bar (total: 2.4min)
| 24.8s | 44 180× | 2 | valid |
| 17.5s | 97 142× | 1 | valid |
| 14.6s | 145 451× | 0 | invalid |
| 10.8s | 6 061× | 5 | exit |
| 6.2s | 86 288× | 0 | valid |
| 2.6s | 3 554× | 3 | valid |
| 379.0ms | 4 185× | 0 | exit |
| 173.0ms | 149× | 4 | exit |
| 149.0ms | 1 111× | 1 | exit |
| 5.0ms | 4× | 4 | valid |
ival-tan: 12.6s (19.6% of total)ival-pow: 11.7s (18.3% of total)adjust: 7.5s (11.6% of total)ival-mult!: 4.7s (7.4% of total)ival-log: 3.9s (6% of total)ival-cos: 3.8s (5.9% of total)ival-sin: 3.6s (5.6% of total)ival-div!: 2.9s (4.5% of total)ival-add!: 2.2s (3.4% of total)ival-exp: 1.9s (3% of total)ival-expm1: 1.8s (2.8% of total)ival-sub!: 1.7s (2.6% of total)ival-fabs: 1.4s (2.2% of total)ival-sqrt: 1.4s (2.2% of total)ival-log1p: 1.0s (1.6% of total)ival-<: 400.0ms (0.6% of total)ival-<=: 376.0ms (0.6% of total)ival-neg: 362.0ms (0.6% of total)ival-atan: 340.0ms (0.5% of total)ival-and: 316.0ms (0.5% of total)ival-cbrt: 257.0ms (0.4% of total)ival-assert: 65.0ms (0.1% of total)ival-fmin: 58.0ms (0.1% of total)ival->: 1.0ms (0% of total)exact: 0.0ms (0% of total)| 228× | iter-limit |
| 108× | node-limit |
Compiled 588 188 to 189 638 computations (67.8% saved)
| 22× | fuel |
| 6× | done |
Compiled 2 959 to 1 806 computations (39% saved)
| 28× | node-limit |
Compiled 6 113 to 4 547 computations (25.6% saved)
504 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 426.0ms | x | @ | -inf | ((- (sqrt (+ x 1)) (sqrt x)) (/ (* 1/2 (sqrt x)) x) (* 1/2 (sqrt x)) 1/2 (sqrt x) x (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) 1 (- (* (sqrt (/ (- x -1) x)) (sqrt x)) (sqrt x)) (* (sqrt (/ (- x -1) x)) (sqrt x)) (sqrt (/ (- x -1) x)) (/ (- x -1) x) (- x -1) -1 (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (neg (sqrt x)) (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (* (sqrt (- x -1)) (- x -1)) (sqrt (- x -1)) (* (sqrt x) x) (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) (+ x (sqrt (* (- x -1) x))) (sqrt (* (- x -1) x)) (* (- x -1) x)) |
| 96.0ms | n | @ | inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (/ (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x))))) n)) (/ (/ (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x))))) n) (/ (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x))))) (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n) (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x))) (* (log (- x -1)) (log (- x -1))) (log (- x -1)) (- x -1) x -1 (* (log x) (log x)) (log x) n (neg (log (- x -1))) 3 (pow (log x) 3) (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x))) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (/ 1 (* n x)) 1 (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- 1 (* 1/2 (/ 1 x))) n) (- 1 (* 1/2 (/ 1 x))) (* 1/2 (/ 1 x)) (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n) (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) (/ (+ 1 (* -1 (/ (neg (log x)) n))) x) (+ 1 (* -1 (/ (neg (log x)) n))) (* -1 (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) (* n n) (/ 1/2 n) (/ 1 n) (pow x (/ 1 n))) |
| 95.0ms | n | @ | 0 | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (/ (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x))))) n)) (/ (/ (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x))))) n) (/ (+ (pow (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) 3) (pow (log x) 3)) (+ (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1))))) (- (* (log x) (log x)) (* (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x))))) (log (/ x (+ 1 x))) (/ x (+ 1 x)) x (+ 1 x) 1 n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- 1 (* 1/2 (/ 1 x))) n) (/ -1/2 (* n x)) -1/2 (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (log (/ (- x -1) x)) (/ (- 1 (* 1/2 (/ 1 x))) x) (- 1 (* 1/2 (/ 1 x))) (* 1/2 (/ 1 x)) 1/2 (/ 1 x) (- (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 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n) (/ (+ (* -1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ x (+ 1 x))))) (* n n)) (+ (* -1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ x (+ 1 x))))) (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x)) (* (log x) (log x)) (log x) (* n (log (/ x (+ 1 x)))) (* n n)) |
| 95.0ms | n | @ | 0 | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) n) (+ (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (log x)) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n) (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x))) (* (log (- x -1)) (log (- x -1))) (log (- x -1)) (- x -1) x -1 (* (log x) (log x)) (log x) n (neg (log (- x -1))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (log (/ (- x -1) x)) (/ (- x -1) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) 1 (/ 1 n) (pow x (/ 1 n)) (+ (/ (log x) n) 1) (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) (* n n) (/ 1/2 n) (/ (exp (neg (/ (neg (log x)) n))) n)) |
| 94.0ms | c | @ | -inf | ((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ c (fabs b_2)) -1/2) (/ (- (fabs b_2) b_2) a)) (/ c (fabs b_2)) c (fabs b_2) b_2 -1/2 (/ (- (fabs b_2) b_2) a) (- (fabs b_2) b_2) a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (/ (neg c) a)) (/ (neg c) a) (neg c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (* (neg a) c)) (* (neg a) c) (neg a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (neg c) (sqrt (/ (neg a) c))) (sqrt (/ (neg a) c)) (/ (neg a) c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (/ (* (* c c) a) (* b_2 b_2)) -1/8) (* -1/2 c)) b_2) (+ (* (/ (* (* c c) a) (* b_2 b_2)) -1/8) (* -1/2 c)) (/ (* (* c c) a) (* b_2 b_2)) (* (* c c) a) (* c c) (* b_2 b_2) -1/8 (* -1/2 c)) |
43 calls:
| 790.0ms | x |
| 429.0ms | eps |
| 140.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 112.0ms | b_2 |
| 109.0ms | b |
Compiled 1 734 to 1 909 computations (-10.1% saved)
Compiled 56 162 to 45 433 computations (19.1% 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)
| 97× | binary-search |
| 15× | left-value |
| 91× | narrow-enough |
| 6× | predicate-same |
| 382.0ms | 5 091× | 0 | valid |
| 118.0ms | 1 184× | 1 | valid |
| 109.0ms | 1 622× | 0 | invalid |
| 71.0ms | 301× | 2 | valid |
| 3.0ms | 35× | 0 | exit |
| 0.0ms | 1× | 1 | exit |
Compiled 26 981 to 26 542 computations (1.6% saved)
ival-mult!: 116.0ms (27.1% of total)ival-sqrt: 69.0ms (16.1% of total)ival-div!: 51.0ms (11.9% of total)ival-pow: 49.0ms (11.4% of total)ival-neg: 39.0ms (9.1% of total)adjust: 35.0ms (8.2% of total)ival-sub!: 30.0ms (7% of total)ival-add!: 13.0ms (3% of total)ival-cos: 12.0ms (2.8% of total)ival-cbrt: 7.0ms (1.6% of total)ival-expm1: 4.0ms (0.9% of total)ival-log: 2.0ms (0.5% of total)ival-log1p: 2.0ms (0.5% of total)Loading profile data...