Herbie run
| Date: | Monday, March 3rd, 2025 |
|---|---|
| Commit: | 3ad4492b on chassis-platforms-cleanup |
| Seed: | 2025062 |
| Parameters: | 256 points for 4 iterations |
| Flags: | reduce:binary-searchreduce:branch-expressionssetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:proofs -o reduce:regimes-o reduce:simplify |
| Memory: | 193 399.9 MB |
Time bar (total: 3.7min)
| 26.8s | 43 580× | 2 | valid |
| 18.7s | 96 956× | 1 | valid |
| 18.0s | 145 311× | 0 | invalid |
| 14.6s | 7 202× | 5 | exit |
| 6.3s | 87 350× | 0 | valid |
| 2.3s | 3 280× | 3 | valid |
| 437.0ms | 4 174× | 0 | exit |
| 2.0ms | 2× | 4 | valid |
ival-pow: 13.8s (19% of total)ival-tan: 11.9s (16.3% of total)adjust: 8.2s (11.3% of total)ival-mult: 5.2s (7.2% of total)ival-cos: 4.1s (5.7% of total)ival-div: 4.0s (5.5% of total)ival-log: 3.8s (5.2% of total)ival-sub: 3.4s (4.6% of total)ival-add: 3.1s (4.2% of total)ival-sin: 3.0s (4.1% of total)const: 2.8s (3.9% of total)ival-exp: 1.8s (2.5% of total)ival-expm1: 1.7s (2.3% of total)ival-fabs: 1.4s (1.9% of total)ival-sqrt: 1.1s (1.5% of total)ival-log1p: 1.0s (1.4% of total)ival-<: 402.0ms (0.6% of total)ival-atan: 386.0ms (0.5% of total)ival-and: 381.0ms (0.5% of total)ival-<=: 370.0ms (0.5% of total)ival-cbrt: 270.0ms (0.4% of total)ival-neg: 258.0ms (0.4% of total)exact: 154.0ms (0.2% of total)ival-assert: 137.0ms (0.2% of total)ival-fmin: 81.0ms (0.1% of total)ival->: 1.0ms (0% of total)Compiled 25 415 to 15 427 computations (39.3% saved)
| 261× | iter limit |
| 96× | node limit |
| 2× | unsound |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | #f | cancellation | 4105 | 30 |
log.f64 | #f | sensitivity | 759 | 0 |
/.f64 | #f | u/u | 444 | 0 |
sqrt.f64 | #f | oflow-rescue | 392 | 0 |
+.f64 | #f | cancellation | 294 | 0 |
/.f64 | #f | u/n | 124 | 0 |
pow.f64 | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) | sensitivity | 70 | 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 | 22 | 0 |
| ↳ | (*.f64 b eps) | underflow | 146 | |
| ↳ | (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) | underflow | 159 | |
| ↳ | (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) | underflow | 146 | |
| ↳ | (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) | underflow | 234 | |
| ↳ | (*.f64 a eps) | underflow | 159 | |
sqrt.f64 | #f | uflow-rescue | 20 | 0 |
-.f64 | #f | nan-rescue | 18 | 0 |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | n/o | 4 | 0 |
| ↳ | (*.f64 x x) | overflow | 62 | |
exp.f64 | (exp.f64 (neg.f64 x)) | sensitivity | 3 | 0 |
sin.f64 | (sin.f64 (+.f64 x eps)) | sensitivity | 3 | 0 |
tan.f64 | (tan.f64 (+.f64 x eps)) | sensitivity | 3 | 0 |
cos.f64 | (cos.f64 (+.f64 x eps)) | 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 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 5145 | 17 |
| - | 138 | 1868 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 5145 | 14 | 3 |
| - | 138 | 16 | 1852 |
| number | freq |
|---|---|
| 0 | 1885 |
| 1 | 4494 |
| 2 | 645 |
| 3 | 95 |
| 4 | 49 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 28 | 0 | 0 |
| - | 0 | 0 | 0 |
| 1.6s | 2 734× | 2 | valid |
| 1.2s | 6 022× | 1 | valid |
| 427.0ms | 5 362× | 0 | valid |
| 170.0ms | 218× | 3 | valid |
Compiled 2 154 to 763 computations (64.6% saved)
ival-tan: 741.0ms (26.7% of total)adjust: 431.0ms (15.5% of total)ival-cos: 201.0ms (7.2% of total)ival-sub: 192.0ms (6.9% of total)ival-log: 184.0ms (6.6% of total)ival-div: 166.0ms (6% of total)ival-exp: 150.0ms (5.4% of total)ival-sin: 150.0ms (5.4% of total)ival-pow: 127.0ms (4.6% of total)ival-add: 102.0ms (3.7% of total)ival-mult: 91.0ms (3.3% of total)ival-log1p: 74.0ms (2.7% of total)ival-sqrt: 64.0ms (2.3% of total)ival-expm1: 22.0ms (0.8% of total)ival-atan: 20.0ms (0.7% of total)ival-neg: 17.0ms (0.6% of total)ival-cbrt: 16.0ms (0.6% of total)ival-true: 12.0ms (0.4% of total)exact: 9.0ms (0.3% of total)ival-assert: 6.0ms (0.2% of total)| 56× | iter limit |
| 51× | node limit |
| 5× | saturated |
Compiled 2 750 to 1 813 computations (34.1% saved)
Compiled 752 611 to 84 141 computations (88.8% 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)
468 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 59.0ms | N | @ | 0 | ((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N)) |
| 57.0ms | eps | @ | 0 | ((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* eps (- (exp (* (+ a b) eps)) 1)) eps (- (exp (* (+ a b) eps)) 1) (exp (* (+ a b) eps)) (* (+ a b) eps) (+ a b) a b 1 (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (- (exp (* a eps)) 1) (exp (* a eps)) (* a eps) (- (exp (* b eps)) 1) (exp (* b eps)) (* b eps)) |
| 55.0ms | 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)) |
| 36.0ms | 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)) |
| 34.0ms | x | @ | -inf | ((- (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))) |
| 15× | fuel |
| 13× | done |
Compiled 808 to 490 computations (39.4% saved)
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