Herbie run
| Date: | Friday, February 28th, 2025 |
|---|---|
| Commit: | f2100aab on no-pareto |
| Seed: | 2025059 |
| 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: | 195 377.5 MB |
Time bar (total: 3.9min)
| 25.7s | 43 717× | 2 | valid |
| 19.7s | 96 766× | 1 | valid |
| 17.1s | 145 124× | 0 | invalid |
| 14.4s | 7 115× | 5 | exit |
| 7.2s | 87 281× | 0 | valid |
| 2.3s | 3 400× | 3 | valid |
| 327.0ms | 4 138× | 0 | exit |
| 5.0ms | 4× | 4 | valid |
ival-pow: 13.9s (19.3% of total)ival-tan: 11.9s (16.5% of total)adjust: 8.0s (11.1% of total)ival-mult: 4.8s (6.7% of total)ival-add: 4.1s (5.7% of total)ival-cos: 4.0s (5.5% of total)ival-div: 3.7s (5.2% of total)ival-sub: 3.3s (4.6% of total)ival-log: 3.2s (4.5% of total)ival-sin: 2.9s (4% of total)const: 2.5s (3.4% of total)ival-exp: 1.8s (2.4% of total)ival-expm1: 1.5s (2% of total)ival-fabs: 1.3s (1.7% of total)ival-sqrt: 1.2s (1.7% of total)ival-log1p: 1.2s (1.7% of total)ival-atan: 642.0ms (0.9% of total)ival-<: 461.0ms (0.6% of total)ival-and: 386.0ms (0.5% of total)ival-<=: 366.0ms (0.5% of total)ival-cbrt: 341.0ms (0.5% of total)ival-neg: 250.0ms (0.3% of total)exact: 165.0ms (0.2% of total)ival-assert: 132.0ms (0.2% of total)ival-fmin: 78.0ms (0.1% of total)ival->: 1.0ms (0% of total)Compiled 25 506 to 13 431 computations (47.3% saved)
| 262× | iter limit |
| 97× | node limit |
| 2× | unsound |
| 56× | iter limit |
| 51× | node limit |
| 5× | saturated |
Compiled 4 618 to 2 693 computations (41.7% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | #f | cancellation | 4056 | 40 |
log.f64 | #f | sensitivity | 764 | 2 |
sqrt.f64 | #f | oflow-rescue | 434 | 0 |
/.f64 | #f | u/u | 430 | 0 |
+.f64 | #f | cancellation | 313 | 0 |
/.f64 | #f | u/n | 134 | 0 |
pow.f64 | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) | sensitivity | 81 | 0 |
-.f64 | #f | nan-rescue | 24 | 0 |
sqrt.f64 | #f | uflow-rescue | 22 | 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 | 18 | 0 |
| ↳ | (*.f64 b eps) | underflow | 149 | |
| ↳ | (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) | underflow | 162 | |
| ↳ | (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) | underflow | 149 | |
| ↳ | (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) | underflow | 227 | |
| ↳ | (*.f64 a eps) | underflow | 162 | |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | n/o | 1 | 0 |
| ↳ | (*.f64 x x) | overflow | 67 | |
/.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 | 1 | 0 |
| ↳ | (exp.f64 (*.f64 #s(literal 2 binary64) x)) | overflow | 1 | |
| ↳ | (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) | overflow | 1 | |
| ↳ | (exp.f64 x) | overflow | 1 | |
| ↳ | (-.f64 (exp.f64 x) #s(literal 1 binary64)) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 5154 | 17 |
| - | 165 | 1832 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 5154 | 15 | 2 |
| - | 165 | 26 | 1806 |
| number | freq |
|---|---|
| 0 | 1849 |
| 1 | 4542 |
| 2 | 636 |
| 3 | 100 |
| 4 | 41 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 28 | 0 | 0 |
| - | 0 | 0 | 0 |
| 1.6s | 2 724× | 2 | valid |
| 1.2s | 6 080× | 1 | valid |
| 471.0ms | 5 322× | 0 | valid |
| 183.0ms | 210× | 3 | valid |
Compiled 2 154 to 763 computations (64.6% saved)
ival-tan: 736.0ms (26.7% of total)adjust: 432.0ms (15.7% of total)ival-exp: 195.0ms (7.1% of total)ival-cos: 192.0ms (7% of total)ival-log: 183.0ms (6.7% of total)ival-div: 159.0ms (5.8% of total)ival-sub: 156.0ms (5.7% of total)ival-sin: 142.0ms (5.2% of total)ival-pow: 129.0ms (4.7% of total)ival-add: 99.0ms (3.6% of total)ival-mult: 96.0ms (3.5% of total)ival-sqrt: 65.0ms (2.4% of total)ival-log1p: 57.0ms (2.1% of total)ival-atan: 33.0ms (1.2% of total)ival-expm1: 23.0ms (0.8% of total)ival-cbrt: 16.0ms (0.6% of total)ival-true: 12.0ms (0.4% of total)ival-neg: 12.0ms (0.4% of total)exact: 9.0ms (0.3% of total)ival-assert: 6.0ms (0.2% of total)Compiled 785 249 to 86 275 computations (89% saved)
474 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 63.0ms | x | @ | inf | ((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (* (/ -1 (* x x)) (/ (- (* (/ (+ (* (pow x -2) -2) -2) (pow x 4)) (neg x)) (* x (+ (* (pow x -2) -2) -2))) (* (neg x) x))) (/ -1 (* x x)) -1 (* x x) x (/ (- (* (/ (+ (* (pow x -2) -2) -2) (pow x 4)) (neg x)) (* x (+ (* (pow x -2) -2) -2))) (* (neg x) x)) (- (* (/ (+ (* (pow x -2) -2) -2) (pow x 4)) (neg x)) (* x (+ (* (pow x -2) -2) -2))) (* (/ (+ (* (pow x -2) -2) -2) (pow x 4)) (neg x)) (/ (+ (* (pow x -2) -2) -2) (pow x 4)) (+ (* (pow x -2) -2) -2) (pow x -2) -2 (pow x 4) 4 (neg x) (* x (+ (* (pow x -2) -2) -2)) (* (neg x) x)) |
| 46.0ms | 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)) |
| 39.0ms | N | @ | 0 | ((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N)) |
| 39.0ms | 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)) |
| 29.0ms | 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)) |
| 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)
| 17× | fuel |
| 11× | done |
Compiled 1 091 to 626 computations (42.6% saved)
| 21× | node limit |
| 7× | saturated |
43 calls:
| 62.0ms | x |
| 20.0ms | a |
| 16.0ms | c |
| 13.0ms | b |
| 13.0ms | eps |
Compiled 370 to 337 computations (8.9% saved)
| 10× | binary-search |
| 2× | left-value |
| 7× | narrow-enough |
| 3× | predicate-same |
| 62.0ms | 757× | 0 | valid |
| 25.0ms | 197× | 1 | valid |
| 24.0ms | 102× | 2 | valid |
| 10.0ms | 136× | 0 | invalid |
Compiled 2 554 to 2 062 computations (19.3% saved)
ival-mult: 31.0ms (35.9% of total)ival-sub: 13.0ms (15.1% of total)ival-div: 12.0ms (13.9% of total)adjust: 10.0ms (11.6% of total)ival-sqrt: 10.0ms (11.6% of total)ival-neg: 5.0ms (5.8% of total)ival-add: 3.0ms (3.5% of total)ival-true: 1.0ms (1.2% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)Loading profile data...