Herbie run
| Date: | Friday, March 21st, 2025 |
|---|---|
| Commit: | 3191bcb3 on baseline-kernel |
| Seed: | 2025080 |
| Parameters: | 256 points for 4 iterations |
| Flags: | reduce:regimesreduce:binary-searchreduce:branch-expressionsreduce:simplifysetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:proofs default |
| Memory: | 36 613.1 MB |
Time bar (total: 2.3min)
| 21.9s | 6 942× | 9472 | exit |
| 16.6s | 15 356× | 2368 | valid |
| 14.4s | 52 597× | 1184 | valid |
| 11.4s | 145 319× | 74 | invalid |
| 5.5s | 33 507× | 592 | valid |
| 4.7s | 87 155× | 74 | valid |
| 2.2s | 19 409× | 296 | valid |
| 2.2s | 22 390× | 148 | valid |
| 268.0ms | 4 220× | 74 | exit |
| 183.0ms | 754× | 4736 | valid |
ival-pow: 22.5s (33.3% of total)ival-tan: 12.1s (17.9% of total)ival-sin: 4.7s (7% of total)ival-log: 3.9s (5.7% of total)ival-mult!: 3.6s (5.3% of total)ival-div!: 3.3s (4.8% of total)ival-cos: 2.8s (4.2% of total)ival-sub!: 2.5s (3.6% of total)ival-add!: 1.7s (2.5% of total)ival-sqrt: 1.6s (2.3% of total)ival-exp: 1.5s (2.2% of total)ival-expm1: 1.4s (2.1% of total)adjust: 1.4s (2.1% of total)ival-fabs: 1.2s (1.8% of total)ival-log1p: 1.1s (1.7% of total)ival-atan: 473.0ms (0.7% of total)ival-cbrt: 410.0ms (0.6% of total)ival-<: 368.0ms (0.5% of total)ival-and: 343.0ms (0.5% of total)ival-<=: 330.0ms (0.5% of total)ival-neg: 221.0ms (0.3% of total)ival-assert: 74.0ms (0.1% of total)ival-fmin: 58.0ms (0.1% of total)ival->: 1.0ms (0% of total)| 265× | iter limit |
| 108× | node limit |
| 56× | iter limit |
| 51× | node limit |
| 5× | saturated |
Compiled 18 020 to 5 267 computations (70.8% saved)
| 23× | fuel |
| 5× | done |
Compiled 7 813 to 1 920 computations (75.4% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | #f | cancellation | 4169 | 33 |
log.f64 | #f | sensitivity | 761 | 2 |
sqrt.f64 | #f | oflow-rescue | 480 | 0 |
/.f64 | #f | u/u | 442 | 0 |
+.f64 | #f | cancellation | 312 | 1 |
/.f64 | #f | u/n | 114 | 0 |
pow.f64 | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) | sensitivity | 64 | 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 | 20 | 0 |
| ↳ | (*.f64 b eps) | underflow | 153 | |
| ↳ | (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) | underflow | 152 | |
| ↳ | (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) | underflow | 153 | |
| ↳ | (*.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 | 152 | |
-.f64 | #f | nan-rescue | 15 | 0 |
sqrt.f64 | #f | uflow-rescue | 14 | 0 |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | n/o | 5 | 0 |
| ↳ | (*.f64 x x) | overflow | 62 | |
cos.f64 | (cos.f64 (+.f64 x eps)) | sensitivity | 2 | 0 |
exp.f64 | #f | sensitivity | 2 | 1 |
/.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 | |
tan.f64 | (tan.f64 (+.f64 x eps)) | sensitivity | 2 | 0 |
sin.f64 | (sin.f64 (+.f64 x eps)) | sensitivity | 1 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 5255 | 18 |
| - | 142 | 1753 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 5255 | 11 | 7 |
| - | 142 | 24 | 1729 |
| number | freq |
|---|---|
| 0 | 1771 |
| 1 | 4584 |
| 2 | 668 |
| 3 | 95 |
| 4 | 50 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 28 | 0 | 0 |
| - | 0 | 0 | 0 |
| 975.0ms | 3 326× | 1184 | valid |
| 953.0ms | 1 018× | 2368 | valid |
| 387.0ms | 2 132× | 592 | valid |
| 326.0ms | 5 334× | 74 | valid |
| 145.0ms | 1 116× | 296 | valid |
| 109.0ms | 1 370× | 148 | valid |
| 12.0ms | 40× | 4736 | valid |
Compiled 2 154 to 763 computations (64.6% saved)
ival-tan: 635.0ms (27.7% of total)ival-sin: 253.0ms (11.1% of total)ival-log: 248.0ms (10.8% of total)ival-div!: 167.0ms (7.3% of total)ival-cos: 150.0ms (6.6% of total)ival-pow: 122.0ms (5.3% of total)ival-exp: 121.0ms (5.3% of total)ival-sub!: 119.0ms (5.2% of total)ival-sqrt: 95.0ms (4.2% of total)ival-mult!: 76.0ms (3.3% of total)ival-add!: 75.0ms (3.3% of total)adjust: 69.0ms (3% of total)ival-log1p: 69.0ms (3% of total)ival-atan: 30.0ms (1.3% of total)ival-cbrt: 26.0ms (1.1% of total)ival-expm1: 23.0ms (1% of total)ival-neg: 11.0ms (0.5% of total)Compiled 1 458 921 to 171 495 computations (88.2% saved)
504 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 46.0ms | n | @ | 0 | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) (log (+ 1 x)) x (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 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) (log x) n (- (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))) (/ (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))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x) (- (* (pow n -2) 1/2) (/ 1/2 n)) (* (pow n -2) 1/2) (pow n -2) -2 (/ 1/2 n) (/ (exp (neg (/ (neg (log x)) n))) n)) |
| 44.0ms | n | @ | 0 | ((- (- (* (+ 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)) |
| 43.0ms | n | @ | -inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (/ (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x))) n)) (/ (/ (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x))) n) (/ (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x))) (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) (log (+ 1 x)) x (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 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) (log x) n (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) 1 (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (- (log x) (* -1/2 (/ (pow (log x) 2) n))) (* -1/2 (/ (pow (log x) 2) n)) -1/2 (/ (pow (log x) 2) n)) |
| 38.0ms | x | @ | 0 | ((- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (pow x -2)) 1/3) (cbrt (pow x -2)) (pow x -2) x -2 1/3 (- (cbrt (+ x 1)) (cbrt x)) (cbrt (+ x 1)) 1 (cbrt x) (- (cbrt (+ x 1)) (pow x 1/3)) (cbrt (+ x 1)) (+ x 1) (pow x 1/3) (- (cbrt (+ x 1)) (exp (* (log x) 1/3))) (exp (* (log x) 1/3)) (* (log x) 1/3) (log x) (- (cbrt (exp (* (log (cbrt (- x -1))) 3))) (cbrt x)) (cbrt (exp (* (log (cbrt (- x -1))) 3))) (exp (* (log (cbrt (- x -1))) 3)) (* (log (cbrt (- x -1))) 3) (log (cbrt (- x -1))) (cbrt (- x -1)) (- x -1) -1 3) |
| 30.0ms | x | @ | 0 | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n))) |
43 calls:
| 729.0ms | x |
| 321.0ms | eps |
| 168.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 98.0ms | b |
| 67.0ms | a |
Compiled 2 183 to 2 045 computations (6.3% saved)
Compiled 94 712 to 49 685 computations (47.5% saved)
| 28× | node limit |
| 28× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 61.1% | 38.9% | 0% | 0% | 0% | 0 |
| 18.1% | 11.1% | 50% | 38.9% | 0% | 0% | 0% | 1 |
| 30.5% | 18.7% | 42.4% | 38.9% | 0% | 0% | 0% | 2 |
| 45.3% | 26.5% | 31.9% | 38.9% | 0% | 2.7% | 0% | 3 |
| 55.9% | 32.6% | 25.7% | 38.9% | 0% | 2.8% | 0% | 4 |
| 64.3% | 37% | 20.5% | 38.9% | 0% | 3.6% | 0% | 5 |
| 66.5% | 37.9% | 19% | 38.9% | 0% | 4.2% | 0% | 6 |
| 70.7% | 39% | 16.2% | 38.9% | 0% | 6% | 0% | 7 |
| 73.8% | 40.3% | 14.3% | 38.9% | 0% | 6.5% | 0% | 8 |
| 76.4% | 41% | 12.7% | 38.9% | 0% | 7.5% | 0% | 9 |
| 78.5% | 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)
| 66× | binary-search |
| 15× | left-value |
| 64× | narrow-enough |
| 2× | predicate-same |
| 248.0ms | 4 377× | 74 | valid |
| 109.0ms | 419× | 1184 | valid |
| 63.0ms | 1 005× | 74 | invalid |
| 51.0ms | 349× | 592 | valid |
| 33.0ms | 242× | 148 | valid |
| 17.0ms | 129× | 296 | valid |
| 7.0ms | 36× | 2368 | valid |
| 3.0ms | 34× | 74 | exit |
Compiled 24 463 to 18 871 computations (22.9% saved)
ival-pow: 94.0ms (25.8% of total)ival-mult!: 74.0ms (20.3% of total)ival-div!: 48.0ms (13.2% of total)ival-sqrt: 42.0ms (11.5% of total)ival-sub!: 32.0ms (8.8% of total)ival-neg: 24.0ms (6.6% of total)ival-add!: 16.0ms (4.4% of total)adjust: 13.0ms (3.6% of total)ival-cos: 9.0ms (2.5% of total)ival-cbrt: 6.0ms (1.6% of total)ival-exp: 3.0ms (0.8% of total)ival-expm1: 2.0ms (0.5% of total)Loading profile data...