Herbie run
| Date: | Friday, April 11th, 2025 |
|---|---|
| Commit: | da42755e on chassis-platforms-cleanup-like-main |
| Seed: | 2025101 |
| 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: | 161 877.2 MB |
Time bar (total: 2.5min)
| 25.7s | 44 550× | 2 | valid |
| 16.7s | 96 775× | 1 | valid |
| 15.8s | 145 970× | 0 | invalid |
| 10.0s | 5 785× | 5 | exit |
| 5.7s | 86 244× | 0 | valid |
| 2.6s | 3 595× | 3 | valid |
| 367.0ms | 4 047× | 0 | exit |
| 161.0ms | 137× | 4 | exit |
| 157.0ms | 1 106× | 1 | exit |
| 5.0ms | 4× | 4 | valid |
| 4.0ms | 2× | 2 | exit |
ival-tan: 13.1s (21% of total)ival-pow: 10.1s (16.2% of total)adjust: 6.0s (9.5% of total)ival-mult!: 4.6s (7.3% of total)ival-cos: 3.9s (6.2% of total)ival-log: 3.7s (5.9% of total)ival-div!: 3.2s (5.1% of total)ival-sin: 3.1s (4.9% of total)ival-exp: 2.3s (3.7% of total)ival-sub!: 2.2s (3.5% of total)ival-expm1: 1.8s (3% of total)ival-add!: 1.8s (2.9% of total)ival-fabs: 1.6s (2.6% of total)ival-log1p: 1.5s (2.4% of total)ival-sqrt: 1.3s (2.1% of total)ival-atan: 466.0ms (0.7% of total)ival-<: 424.0ms (0.7% of total)ival-<=: 415.0ms (0.7% of total)ival-cbrt: 356.0ms (0.6% of total)ival-and: 345.0ms (0.6% of total)ival-neg: 263.0ms (0.4% of total)ival-assert: 75.0ms (0.1% of total)ival-fmin: 62.0ms (0.1% of total)ival->: 1.0ms (0% of total)exact: 0.0ms (0% of total)| 259× | iter-limit |
| 107× | node-limit |
Compiled 1 921 613 to 190 119 computations (90.1% saved)
| 23× | fuel |
| 5× | done |
Compiled 9 445 to 2 185 computations (76.9% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | #f | cancellation | 4253 | 30 |
log.f64 | #f | sensitivity | 768 | 0 |
/.f64 | #f | u/u | 419 | 0 |
sqrt.f64 | #f | oflow-rescue | 414 | 0 |
+.f64 | #f | cancellation | 333 | 0 |
/.f64 | #f | u/n | 114 | 0 |
pow.f64 | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) | sensitivity | 57 | 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 | 28 | 0 |
| ↳ | (*.f64 b eps) | underflow | 125 | |
| ↳ | (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) | underflow | 130 | |
| ↳ | (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) | underflow | 125 | |
| ↳ | (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) | underflow | 232 | |
| ↳ | (*.f64 a eps) | underflow | 130 | |
sqrt.f64 | #f | uflow-rescue | 26 | 0 |
-.f64 | #f | nan-rescue | 15 | 0 |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | n/o | 4 | 0 |
| ↳ | (*.f64 x x) | overflow | 57 | |
exp.f64 | #f | sensitivity | 2 | 1 |
cos.f64 | (cos.f64 (+.f64 x eps)) | sensitivity | 1 | 0 |
/.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 - | |
|---|---|---|
| + | 5225 | 15 |
| - | 153 | 1775 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 5225 | 13 | 2 |
| - | 153 | 17 | 1758 |
| number | freq |
|---|---|
| 0 | 1790 |
| 1 | 4560 |
| 2 | 643 |
| 3 | 111 |
| 4 | 64 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 28 | 0 | 0 |
| - | 0 | 0 | 0 |
| 1.5s | 2 834× | 2 | valid |
| 1.1s | 6 060× | 1 | valid |
| 372.0ms | 5 232× | 0 | valid |
| 139.0ms | 210× | 3 | valid |
Compiled 2 154 to 763 computations (64.6% saved)
ival-tan: 611.0ms (24.8% of total)adjust: 317.0ms (12.9% of total)ival-log: 219.0ms (8.9% of total)ival-exp: 178.0ms (7.2% of total)ival-cos: 171.0ms (6.9% of total)ival-div!: 171.0ms (6.9% of total)ival-sin: 159.0ms (6.4% of total)ival-pow: 127.0ms (5.1% of total)ival-sqrt: 119.0ms (4.8% of total)ival-mult!: 81.0ms (3.3% of total)ival-sub!: 80.0ms (3.2% of total)ival-log1p: 76.0ms (3.1% of total)ival-add!: 62.0ms (2.5% of total)ival-cbrt: 36.0ms (1.5% of total)ival-expm1: 24.0ms (1% of total)ival-atan: 21.0ms (0.9% of total)ival-neg: 14.0ms (0.6% of total)501 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 95.0ms | x | @ | -inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -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)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -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)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -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)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -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 (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -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) (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (pow (log (+ 1 x)) 4) 4 (pow (log x) 4) (log x) 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) (* 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)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) 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))) (+ (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (- (+ (* (pow n -3) 1/6) (/ 1/3 n)) (* (pow n -2) 1/2)) (* x x)))) 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))) (/ (- (+ (* (pow n -3) 1/6) (/ 1/3 n)) (* (pow n -2) 1/2)) (* x x)))) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (- (+ (* (pow n -3) 1/6) (/ 1/3 n)) (* (pow n -2) 1/2)) (* x x)))) (/ (- (* (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))) (/ (- (+ (* (pow n -3) 1/6) (/ 1/3 n)) (* (pow n -2) 1/2)) (* x x))) (/ (- (+ (* (pow n -3) 1/6) (/ 1/3 n)) (* (pow n -2) 1/2)) (* x x)) (- (+ (* (pow n -3) 1/6) (/ 1/3 n)) (* (pow n -2) 1/2)) (+ (* (pow n -3) 1/6) (/ 1/3 n)) (pow n -3) -3 1/6 (/ 1/3 n) 1/3 (* x x) (/ (/ (exp (neg (/ (neg (log x)) n))) n) x) (/ (exp (neg (/ (neg (log x)) n))) n)) |
| 85.0ms | n | @ | inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (/ (+ (pow (* -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))) 3) (pow (log x) 3)) (+ (* (* -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))) (* -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)))) (- (pow (log x) 2) (* (* -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)) (/ (/ (+ (pow (* -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))) 3) (pow (log x) 3)) (+ (* (* -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))) (* -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)))) (- (pow (log x) 2) (* (* -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) (/ (+ (pow (* -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))) 3) (pow (log x) 3)) (+ (* (* -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))) (* -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)))) (- (pow (log x) 2) (* (* -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))))) (+ (pow (* -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))) 3) (pow (log x) 3)) (pow (* -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))) 3) (* -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))) -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) (+ (* (* -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))) (* -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)))) (- (pow (log x) 2) (* (* -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)))) (- (pow (log x) 2) (* (* -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 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))) (/ (- (log (+ 1 x)) (log x)) n) (+ (* -1 (/ (log x) n)) (/ x n)) (/ (log x) n) (/ x n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (+ 1 (pow x -1)) (pow x -1) (- (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) (/ (+ (* 1/2 (/ (exp (neg (* -1 (/ (log x) n)))) (* x x))) (* n (+ (* -1/2 (/ (exp (neg (* -1 (/ (log x) n)))) (* x x))) (/ (exp (neg (* -1 (/ (log x) n)))) x)))) (* n n)) (+ (* 1/2 (/ (exp (neg (* -1 (/ (log x) n)))) (* x x))) (* n (+ (* -1/2 (/ (exp (neg (* -1 (/ (log x) n)))) (* x x))) (/ (exp (neg (* -1 (/ (log x) n)))) x)))) (/ (exp (neg (* -1 (/ (log x) n)))) (* x x)) (exp (neg (* -1 (/ (log x) n)))) (neg (* -1 (/ (log x) n))) (* -1 (/ (log x) n)) (* x x) (* n (+ (* -1/2 (/ (exp (neg (* -1 (/ (log x) n)))) (* x x))) (/ (exp (neg (* -1 (/ (log x) n)))) x))) (+ (* -1/2 (/ (exp (neg (* -1 (/ (log x) n)))) (* x x))) (/ (exp (neg (* -1 (/ (log x) n)))) x)) -1/2 (/ (exp (neg (* -1 (/ (log x) n)))) x) (* n n)) |
| 84.0ms | c | @ | -inf | ((/ (- (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (+ a a)) (- (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (neg b) b (sqrt (+ (* (* c a) -4) (* b b))) (+ (* (* c a) -4) (* b b)) (* c a) c a -4 (* b b) (+ a a) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (* (sqrt (* (/ c a) -4)) -1/2) (neg (sqrt (neg (/ c a)))) (sqrt (neg (/ c a))) (neg (/ c a)) (/ c a) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg (sqrt (* (* a c) -4))) (sqrt (* (* a c) -4)) (* (* a c) -4) (* a c) (* 2 a) 2 (- (/ (neg b) (* 2 a)) (/ (sqrt (+ (* (* -4 a) c) (* b b))) (* 2 a))) (/ (neg b) (* 2 a)) (/ (sqrt (+ (* (* -4 a) c) (* b b))) (* 2 a)) (sqrt (+ (* (* -4 a) c) (* b b))) (+ (* (* -4 a) c) (* b b)) (* -4 a)) |
| 76.0ms | n | @ | 0 | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -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)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -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)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -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)) (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -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 (/ (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -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) (+ (* (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) -1) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (/ (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) (+ (* (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) -1) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (/ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) n) (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (pow (log (+ 1 x)) 4) 4 (pow (log x) 4) (log x) 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) (* 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)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) 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))) (+ (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (- (+ (* (pow n -3) 1/6) (/ 1/3 n)) (* (pow n -2) 1/2)) (* x x)))) 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))) (/ (- (+ (* (pow n -3) 1/6) (/ 1/3 n)) (* (pow n -2) 1/2)) (* x x)))) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (* (exp (neg (/ (neg (log x)) n))) (/ (- (+ (* (pow n -3) 1/6) (/ 1/3 n)) (* (pow n -2) 1/2)) (* x x)))) (/ (- (* (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))) (/ (- (+ (* (pow n -3) 1/6) (/ 1/3 n)) (* (pow n -2) 1/2)) (* x x))) (/ (- (+ (* (pow n -3) 1/6) (/ 1/3 n)) (* (pow n -2) 1/2)) (* x x)) (- (+ (* (pow n -3) 1/6) (/ 1/3 n)) (* (pow n -2) 1/2)) (+ (* (pow n -3) 1/6) (/ 1/3 n)) (pow n -3) -3 1/6 (/ 1/3 n) 1/3 (* x x) (/ (/ (exp (neg (/ (neg (log x)) n))) n) x) (/ (exp (neg (/ (neg (log x)) n))) n)) |
| 67.0ms | n | @ | -inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (/ (+ (pow (* -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))) 3) (pow (log x) 3)) (+ (* (* -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))) (* -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)))) (- (pow (log x) 2) (* (* -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)) (/ (/ (+ (pow (* -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))) 3) (pow (log x) 3)) (+ (* (* -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))) (* -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)))) (- (pow (log x) 2) (* (* -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) (/ (+ (pow (* -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))) 3) (pow (log x) 3)) (+ (* (* -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))) (* -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)))) (- (pow (log x) 2) (* (* -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))))) (+ (pow (* -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))) 3) (pow (log x) 3)) (pow (* -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))) 3) (* -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))) -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) (+ (* (* -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))) (* -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)))) (- (pow (log x) 2) (* (* -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)))) (- (pow (log x) 2) (* (* -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 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))) (/ (- (log (+ 1 x)) (log x)) n) (+ (* -1 (/ (log x) n)) (/ x n)) (/ (log x) n) (/ x n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (+ 1 (pow x -1)) (pow x -1) (- (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) (/ (+ (* 1/2 (/ (exp (neg (* -1 (/ (log x) n)))) (* x x))) (* n (+ (* -1/2 (/ (exp (neg (* -1 (/ (log x) n)))) (* x x))) (/ (exp (neg (* -1 (/ (log x) n)))) x)))) (* n n)) (+ (* 1/2 (/ (exp (neg (* -1 (/ (log x) n)))) (* x x))) (* n (+ (* -1/2 (/ (exp (neg (* -1 (/ (log x) n)))) (* x x))) (/ (exp (neg (* -1 (/ (log x) n)))) x)))) (/ (exp (neg (* -1 (/ (log x) n)))) (* x x)) (exp (neg (* -1 (/ (log x) n)))) (neg (* -1 (/ (log x) n))) (* -1 (/ (log x) n)) (* x x) (* n (+ (* -1/2 (/ (exp (neg (* -1 (/ (log x) n)))) (* x x))) (/ (exp (neg (* -1 (/ (log x) n)))) x))) (+ (* -1/2 (/ (exp (neg (* -1 (/ (log x) n)))) (* x x))) (/ (exp (neg (* -1 (/ (log x) n)))) x)) -1/2 (/ (exp (neg (* -1 (/ (log x) n)))) x) (* n n)) |
| 26× | node-limit |
| 2× | saturated |
Compiled 21 958 to 6 420 computations (70.8% saved)
43 calls:
| 1.3s | x |
| 585.0ms | eps |
| 248.0ms | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
| 180.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 137.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 2 244 to 2 114 computations (5.8% saved)
Compiled 119 129 to 55 725 computations (53.2% 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)
| 91× | binary-search |
| 16× | left-value |
| 88× | narrow-enough |
| 3× | predicate-same |
| 347.0ms | 5 306× | 0 | valid |
| 158.0ms | 546× | 2 | valid |
| 102.0ms | 868× | 1 | valid |
| 78.0ms | 1 174× | 0 | invalid |
| 5.0ms | 65× | 0 | exit |
| 0.0ms | 3× | 1 | exit |
Compiled 32 216 to 24 703 computations (23.3% saved)
ival-mult!: 100.0ms (21.1% of total)ival-pow: 93.0ms (19.7% of total)adjust: 63.0ms (13.3% of total)ival-div!: 60.0ms (12.7% of total)ival-sqrt: 50.0ms (10.6% of total)ival-sub!: 35.0ms (7.4% of total)ival-neg: 30.0ms (6.3% of total)ival-add!: 14.0ms (3% of total)ival-cos: 10.0ms (2.1% of total)ival-expm1: 9.0ms (1.9% of total)ival-cbrt: 5.0ms (1.1% of total)ival-exp: 4.0ms (0.8% of total)Loading profile data...