Herbie run
| Date: | Wednesday, April 16th, 2025 |
|---|---|
| Commit: | 5565a39e on main |
| Seed: | 2025106 |
| 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: | 160 281.7 MB |
Time bar (total: 2.5min)
| 25.3s | 44 454× | 2 | valid |
| 16.3s | 97 066× | 1 | valid |
| 16.2s | 146 733× | 0 | invalid |
| 10.5s | 5 911× | 5 | exit |
| 7.0s | 86 093× | 0 | valid |
| 2.5s | 3 551× | 3 | valid |
| 319.0ms | 4 198× | 0 | exit |
| 177.0ms | 1 051× | 1 | exit |
| 151.0ms | 136× | 4 | exit |
| 4.0ms | 4× | 4 | valid |
| 2.0ms | 1× | 3 | exit |
| 2.0ms | 1× | 2 | exit |
ival-tan: 13.2s (20.5% of total)ival-pow: 10.6s (16.5% of total)adjust: 7.1s (11% of total)ival-mult!: 5.2s (8.1% of total)ival-cos: 3.7s (5.7% of total)ival-sin: 3.6s (5.5% of total)ival-log: 3.4s (5.2% of total)ival-div!: 3.3s (5.2% of total)ival-add!: 2.3s (3.6% of total)ival-exp: 1.8s (2.8% of total)ival-sub!: 1.8s (2.8% of total)ival-expm1: 1.8s (2.8% of total)ival-sqrt: 1.6s (2.6% of total)ival-fabs: 1.4s (2.2% of total)ival-log1p: 1.1s (1.7% of total)ival-<: 498.0ms (0.8% of total)ival-atan: 439.0ms (0.7% of total)ival-cbrt: 364.0ms (0.6% of total)ival-and: 337.0ms (0.5% of total)ival-<=: 335.0ms (0.5% of total)ival-neg: 303.0ms (0.5% of total)ival-fmin: 101.0ms (0.2% of total)ival-assert: 72.0ms (0.1% of total)ival->: 1.0ms (0% of total)exact: 0.0ms (0% of total)| 262× | iter-limit |
| 108× | node-limit |
| 24× | fuel |
| 4× | done |
Compiled 11 300 to 2 235 computations (80.2% saved)
Compiled 1 758 007 to 183 449 computations (89.6% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | #f | cancellation | 4152 | 21 |
log.f64 | #f | sensitivity | 761 | 4 |
/.f64 | #f | u/u | 444 | 0 |
sqrt.f64 | #f | oflow-rescue | 386 | 0 |
+.f64 | #f | cancellation | 326 | 1 |
/.f64 | #f | u/n | 110 | 0 |
pow.f64 | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) | sensitivity | 73 | 0 |
sqrt.f64 | #f | uflow-rescue | 26 | 0 |
/.f64 | (/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))) | n/u | 19 | 0 |
| ↳ | (*.f64 b eps) | underflow | 165 | |
| ↳ | (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) | underflow | 162 | |
| ↳ | (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) | underflow | 165 | |
| ↳ | (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) | underflow | 239 | |
| ↳ | (*.f64 a eps) | underflow | 162 | |
-.f64 | #f | nan-rescue | 15 | 0 |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | n/o | 5 | 0 |
| ↳ | (*.f64 x x) | overflow | 59 | |
cos.f64 | (cos.f64 (+.f64 x eps)) | sensitivity | 4 | 1 |
sin.f64 | (sin.f64 (+.f64 x eps)) | sensitivity | 3 | 0 |
tan.f64 | (tan.f64 (+.f64 x eps)) | sensitivity | 3 | 1 |
exp.f64 | #f | sensitivity | 2 | 3 |
/.f64 | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) | o/o | 2 | 0 |
| ↳ | (exp.f64 (*.f64 #s(literal 2 binary64) x)) | overflow | 2 | |
| ↳ | (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) | overflow | 2 | |
| ↳ | (exp.f64 x) | overflow | 2 | |
| ↳ | (-.f64 (exp.f64 x) #s(literal 1 binary64)) | overflow | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 5225 | 11 |
| - | 157 | 1775 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 5225 | 9 | 2 |
| - | 157 | 18 | 1757 |
| number | freq |
|---|---|
| 0 | 1786 |
| 1 | 4608 |
| 2 | 640 |
| 3 | 93 |
| 4 | 41 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 28 | 0 | 0 |
| - | 0 | 0 | 0 |
| 1.5s | 2 836× | 2 | valid |
| 952.0ms | 6 094× | 1 | valid |
| 405.0ms | 5 210× | 0 | valid |
| 123.0ms | 196× | 3 | valid |
Compiled 2 154 to 763 computations (64.6% saved)
ival-tan: 548.0ms (23.6% of total)adjust: 310.0ms (13.3% of total)ival-log: 235.0ms (10.1% of total)ival-cos: 197.0ms (8.5% of total)ival-exp: 166.0ms (7.1% of total)ival-sin: 153.0ms (6.6% of total)ival-pow: 151.0ms (6.5% of total)ival-div!: 118.0ms (5.1% of total)ival-log1p: 78.0ms (3.4% of total)ival-sub!: 78.0ms (3.4% of total)ival-mult!: 74.0ms (3.2% of total)ival-sqrt: 62.0ms (2.7% of total)ival-add!: 48.0ms (2.1% of total)ival-expm1: 39.0ms (1.7% of total)ival-cbrt: 33.0ms (1.4% of total)ival-atan: 22.0ms (0.9% of total)ival-neg: 12.0ms (0.5% of total)43 calls:
| 1.2s | x |
| 1.1s | eps |
| 337.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 177.0ms | a |
| 165.0ms | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
Compiled 2 278 to 2 186 computations (4% saved)
504 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 59.0ms | n | @ | -inf | ((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (* (+ n 1) (log (+ n 1))) (+ n 1) n 1 (log (+ n 1)) (* n (log n)) (log n)) |
| 51.0ms | n | @ | 0 | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (log (+ 1 x)) x (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log (+ 1 x)) 3) 3 (pow (log x) 3) (log x) n (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) 2 (pow (log x) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (- (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)) |
| 49.0ms | x | @ | inf | ((/ (* (sin x) (sin x)) (* (+ (cos x) 1) (* x x))) (* (sin x) (sin x)) (sin x) x (* (+ (cos x) 1) (* x x)) (+ (cos x) 1) (cos x) 1 (* x x) (/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) (cos x) (/ (- (* 1 (* x x)) (* (* x x) (cos x))) (* (* x x) (* x x))) (- (* 1 (* x x)) (* (* x x) (cos x))) (* 1 (* x x)) (* (* x x) (cos x)) (* (* x x) (* x x)) (/ (- 1 (cos x)) (exp (* (log x) 2))) (- 1 (cos x)) (exp (* (log x) 2)) (* (log x) 2) (log x) 2) |
| 47.0ms | a | @ | 0 | ((/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) b (sqrt (- (* b b) (* 4 (* a c)))) (- (* b b) (* 4 (* a c))) (* -4 (* c a)) -4 (* c a) c a (* 2 a) 2 (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg (sqrt (* (/ c a) -1))) (sqrt (* (/ c a) -1)) (* (/ c a) -1) (/ c a) -1 (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (/ b a) -1/2) (neg (sqrt (* (/ c a) -1)))) (/ b a) -1/2 (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (neg c) (+ (* (sqrt (* (/ a c) -1)) 2) (/ b c))) (neg c) (+ (* (sqrt (* (/ a c) -1)) 2) (/ b c)) (sqrt (* (/ a c) -1)) (* (/ a c) -1) (/ a c) (/ b c)) |
| 45.0ms | x | @ | -inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log x)) -1 (+ (log (+ 1 x)) (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (log (+ 1 x)) x (/ (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (+ (* (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (/ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow (log (+ 1 x)) 3) 3 (pow (log x) 3) (log x) n (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) 2 (pow (log x) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (- (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)) |
| 26× | node-limit |
| 2× | saturated |
Compiled 26 978 to 7 198 computations (73.3% saved)
Compiled 129 126 to 59 666 computations (53.8% 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)
| 83× | binary-search |
| 15× | left-value |
| 80× | narrow-enough |
| 3× | predicate-same |
| 310.0ms | 4 890× | 0 | valid |
| 120.0ms | 455× | 2 | valid |
| 108.0ms | 852× | 1 | valid |
| 77.0ms | 992× | 0 | invalid |
| 5.0ms | 59× | 0 | exit |
| 2.0ms | 11× | 3 | valid |
Compiled 33 565 to 24 825 computations (26% saved)
ival-mult!: 84.0ms (21.4% of total)ival-pow: 76.0ms (19.3% of total)ival-sqrt: 58.0ms (14.8% of total)ival-div!: 45.0ms (11.5% of total)adjust: 40.0ms (10.2% of total)ival-neg: 28.0ms (7.1% of total)ival-sub!: 26.0ms (6.6% of total)ival-add!: 16.0ms (4.1% of total)ival-cos: 6.0ms (1.5% of total)ival-cbrt: 5.0ms (1.3% of total)ival-expm1: 5.0ms (1.3% of total)ival-exp: 3.0ms (0.8% of total)Loading profile data...