Herbie run
| Date: | Thursday, April 3rd, 2025 |
|---|---|
| Commit: | f7a7cb35 on main |
| Seed: | 2025093 |
| 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: | 166 513.6 MB |
Time bar (total: 2.5min)
| 25.9s | 44 327× | 2 | valid |
| 16.3s | 96 985× | 1 | valid |
| 15.4s | 147 229× | 0 | invalid |
| 10.2s | 6 145× | 5 | exit |
| 6.8s | 86 296× | 0 | valid |
| 2.9s | 3 558× | 3 | valid |
| 308.0ms | 4 356× | 0 | exit |
| 209.0ms | 1 109× | 1 | exit |
| 5.0ms | 2× | 4 | exit |
| 3.0ms | 1× | 3 | exit |
| 2.0ms | 2× | 4 | valid |
ival-tan: 12.6s (19.7% of total)ival-pow: 10.6s (16.6% of total)adjust: 6.5s (10.1% of total)ival-mult!: 4.8s (7.6% of total)ival-cos: 4.4s (6.9% of total)ival-log: 3.4s (5.4% of total)ival-sin: 3.4s (5.3% of total)ival-div!: 2.8s (4.4% of total)ival-exp: 2.3s (3.7% of total)ival-add!: 2.1s (3.2% of total)ival-sub!: 2.0s (3.1% of total)ival-expm1: 1.8s (2.8% of total)ival-fabs: 1.4s (2.2% of total)ival-sqrt: 1.4s (2.2% of total)ival-log1p: 1.2s (1.9% of total)ival-neg: 739.0ms (1.2% of total)ival-<=: 733.0ms (1.1% of total)ival-<: 522.0ms (0.8% of total)ival-atan: 437.0ms (0.7% of total)ival-and: 326.0ms (0.5% of total)ival-cbrt: 288.0ms (0.5% of total)ival-assert: 66.0ms (0.1% of total)ival-fmin: 60.0ms (0.1% of total)ival->: 2.0ms (0% of total)| 264× | iter-limit |
| 108× | node-limit |
Compiled 1 776 522 to 180 712 computations (89.8% saved)
| 25× | fuel |
| 3× | done |
Compiled 9 648 to 2 019 computations (79.1% saved)
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | #f | cancellation | 4106 | 36 |
log.f64 | #f | sensitivity | 764 | 1 |
/.f64 | #f | u/u | 441 | 0 |
sqrt.f64 | #f | oflow-rescue | 404 | 0 |
+.f64 | #f | cancellation | 334 | 1 |
/.f64 | #f | u/n | 131 | 0 |
pow.f64 | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) | sensitivity | 67 | 0 |
-.f64 | #f | nan-rescue | 18 | 0 |
sqrt.f64 | #f | uflow-rescue | 16 | 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 | 16 | 0 |
| ↳ | (*.f64 b eps) | underflow | 152 | |
| ↳ | (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) | underflow | 152 | |
| ↳ | (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) | underflow | 152 | |
| ↳ | (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))) | underflow | 228 | |
| ↳ | (*.f64 a eps) | underflow | 152 | |
cos.f64 | (cos.f64 (+.f64 x eps)) | sensitivity | 3 | 1 |
/.f64 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) | n/o | 3 | 0 |
| ↳ | (*.f64 x x) | overflow | 62 | |
exp.f64 | #f | sensitivity | 3 | 3 |
tan.f64 | (tan.f64 (+.f64 x eps)) | sensitivity | 3 | 0 |
sin.f64 | (sin.f64 (+.f64 x eps)) | sensitivity | 2 | 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 - | |
|---|---|---|
| + | 5191 | 22 |
| - | 143 | 1812 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 5191 | 17 | 5 |
| - | 143 | 25 | 1787 |
| number | freq |
|---|---|
| 0 | 1834 |
| 1 | 4544 |
| 2 | 650 |
| 3 | 92 |
| 4 | 48 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 28 | 0 | 0 |
| - | 0 | 0 | 0 |
| 1.5s | 2 700× | 2 | valid |
| 937.0ms | 6 146× | 1 | valid |
| 452.0ms | 5 248× | 0 | valid |
| 179.0ms | 242× | 3 | valid |
Compiled 2 154 to 763 computations (64.6% saved)
ival-tan: 683.0ms (27.7% of total)adjust: 296.0ms (12% of total)ival-log: 221.0ms (9% of total)ival-cos: 202.0ms (8.2% of total)ival-sin: 177.0ms (7.2% of total)ival-exp: 146.0ms (5.9% of total)ival-sub!: 137.0ms (5.6% of total)ival-div!: 125.0ms (5.1% of total)ival-pow: 116.0ms (4.7% of total)ival-mult!: 82.0ms (3.3% of total)ival-add!: 65.0ms (2.6% of total)ival-sqrt: 63.0ms (2.6% of total)ival-log1p: 57.0ms (2.3% of total)ival-neg: 37.0ms (1.5% of total)ival-expm1: 23.0ms (0.9% of total)ival-atan: 20.0ms (0.8% of total)ival-cbrt: 17.0ms (0.7% of total)501 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 100.0ms | 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)) |
| 75.0ms | x | @ | 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)) |
| 62.0ms | x | @ | 0 | ((- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (* (pow x -1) (pow x -1))) 1/3) (cbrt (* (pow x -1) (pow x -1))) (* (pow x -1) (pow x -1)) (pow x -1) x -1 1/3 (- (cbrt (+ x 1)) (pow x 1/3)) (cbrt (+ x 1)) 1 (pow x 1/3) (- (cbrt (+ x 1)) (cbrt x)) (* (pow (pow x -2) 1/3) 1/3) (pow (pow x -2) 1/3) (pow x -2) -2 (- (pow (+ 1 x) 1/3) (* (pow x 1/6) (pow x 1/6))) (pow (+ 1 x) 1/3) (+ 1 x) (* (pow x 1/6) (pow x 1/6)) (pow x 1/6) 1/6 (- (cbrt (exp (* (log (cbrt (- x -1))) 3))) (pow x 1/3)) (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) 3) |
| 53.0ms | x | @ | -inf | ((- (tan (+ x eps)) (tan x)) (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (neg eps) eps (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x))) (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (* (- 1 (neg (pow (tan x) 2))) (sin x)) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) x 2 (sin x) (cos x) -1/2 (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)) (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (sin x) 2) (pow (cos x) 2) -1 (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6 (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x))) (* (- 1 (neg (pow (tan x) 2))) (sin x)) (- 1 (neg (pow (tan x) 2))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (pow (tan x) 2) 1/6) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) (- (tan (+ x eps)) (tan x)) (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (+ (* (* eps eps) x) eps) (* eps eps) (- (tan (+ x eps)) (tan x)) (* (- (+ (* eps (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) 1) (neg (pow (tan x) 2))) eps) (- (+ (* eps (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) 1) (neg (pow (tan x) 2))) (+ (* eps (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) 1) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) (* x (+ (* 4/3 (* x x)) 1)) (+ (* 4/3 (* x x)) 1) 4/3 (* x x) (neg (pow (tan x) 2)) (* (* x x) (- (* -2/3 (* x x)) 1)) (- (* -2/3 (* x x)) 1) (* -2/3 (* x x)) -2/3 (- (tan (+ x eps)) (tan x)) (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (- (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (tan x)) (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (/ (tan x) (- 1 (* (tan x) (tan eps)))) (- 1 (* (tan x) (tan eps))) (* (tan x) (tan eps)) (tan eps) (/ (tan eps) (- 1 (* (tan x) (tan eps)))) (- 1 (* (tan x) (tan eps))) (* (tan x) (tan eps)) (tan eps)) |
| 52.0ms | x | @ | -inf | ((- (cbrt (+ x 1)) (cbrt x)) (* (* (cbrt (pow x -1)) (cbrt (pow x -1))) 1/3) (* (cbrt (pow x -1)) (cbrt (pow x -1))) (cbrt (pow x -1)) (pow x -1) x -1 1/3 (- (cbrt (+ x 1)) (cbrt x)) (* (pow x -2/3) 1/3) (pow x -2/3) -2/3 (- (pow (- x -1) 1/3) (cbrt x)) (pow (- x -1) 1/3) (- x -1) (cbrt x) (- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (exp (* (log x) -2))) 1/3) (cbrt (exp (* (log x) -2))) (exp (* (log x) -2)) (* (log x) -2) (log x) -2 (- (cbrt (+ x 1)) (cbrt x)) (* (cbrt (* (pow x -1) (* (pow x -1/2) (pow x -1/2)))) 1/3) (cbrt (* (pow x -1) (* (pow x -1/2) (pow x -1/2)))) (* (pow x -1) (* (pow x -1/2) (pow x -1/2))) (* (pow x -1/2) (pow x -1/2)) (pow x -1/2) -1/2) |
43 calls:
| 995.0ms | x |
| 507.0ms | eps |
| 186.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 154.0ms | (/.f64 #s(literal 1 binary64) n) |
| 112.0ms | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
Compiled 2 049 to 1 931 computations (5.8% saved)
Compiled 105 352 to 51 379 computations (51.2% saved)
| 26× | node-limit |
| 2× | saturated |
Compiled 23 346 to 6 568 computations (71.9% 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 |
| 29× | left-value |
| 80× | narrow-enough |
| 3× | predicate-same |
| 409.0ms | 5 736× | 0 | valid |
| 155.0ms | 1 049× | 1 | valid |
| 120.0ms | 413× | 2 | valid |
| 111.0ms | 1 756× | 0 | invalid |
| 3.0ms | 34× | 0 | exit |
| 0.0ms | 2× | 3 | valid |
Compiled 36 923 to 26 043 computations (29.5% saved)
ival-pow: 122.0ms (23.2% of total)ival-mult!: 107.0ms (20.3% of total)ival-div!: 98.0ms (18.6% of total)ival-sqrt: 54.0ms (10.2% of total)adjust: 41.0ms (7.8% of total)ival-neg: 34.0ms (6.5% of total)ival-sub!: 32.0ms (6.1% of total)ival-add!: 14.0ms (2.7% of total)ival-cos: 7.0ms (1.3% of total)ival-exp: 6.0ms (1.1% of total)ival-expm1: 6.0ms (1.1% of total)ival-cbrt: 5.0ms (0.9% of total)Loading profile data...