Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1

Time bar (total: 1.1s)

analyze1.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 7 to 5 computations (28.6% saved)

sample595.0ms (56.4%)

Results
584.0ms8256×body256valid
Bogosity

preprocess77.0ms (7.3%)

Algorithm
1×egg-herbie
Rules
1030×fma-def
296×div-sub
168×times-frac
158×associate-/r*
116×associate-*r*
Problems
256×No Errors
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01396
12680
24780
310880
428076
581976
6135976
7152476
8181476
9183176
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 x (-.f64 1 x))
(/.f64 x (-.f64 1 x))
(/.f64 (neg.f64 x) (-.f64 1 (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 1 (neg.f64 x))))
Outputs
(/.f64 x (-.f64 1 x))
(/.f64 x (-.f64 1 x))
(/.f64 (neg.f64 x) (-.f64 1 (neg.f64 x)))
(/.f64 (neg.f64 x) (+.f64 x 1))
(/.f64 x (-.f64 -1 x))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 1 (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 x)) (-.f64 1 (neg.f64 x)))
(/.f64 x (+.f64 x 1))
Compiler

Compiled 18 to 12 computations (33.3% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 x (-.f64 1 x))
▶100.0%
(/.f64 x (-.f64 1 x))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize20.0ms (1.9%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(/.f64 x (-.f64 1 x))
Compiler

Compiled 12 to 8 computations (33.3% saved)

series1.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/.f64 x (-.f64 1 x))
0.0ms
x
@0
(/.f64 x (-.f64 1 x))
0.0ms
x
@-inf
(/.f64 x (-.f64 1 x))

rewrite102.0ms (9.6%)

Algorithm
1×batch-egg-rewrite
Rules
662×unpow-prod-down
450×log1p-expm1-u
450×expm1-log1p-u
429×add-exp-log
420×cbrt-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
18519
2117119
Stop Event
1×node limit
Counts
1 → 66
Calls
Call 1
Inputs
(/.f64 x (-.f64 1 x))
Outputs
(+.f64 0 (/.f64 x (-.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(-.f64 (+.f64 1 (/.f64 x (-.f64 1 x))) 1)
(*.f64 x (/.f64 1 (-.f64 1 x)))
(*.f64 1 (/.f64 x (-.f64 1 x)))
(*.f64 (/.f64 x (-.f64 1 x)) 1)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2)) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 x))))
(*.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2) (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) x)
(*.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 2))) (+.f64 x 1))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))) 3))
(*.f64 (pow.f64 1 1/3) (/.f64 x (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2) x) 1/3) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2))) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 5/2) 1/3) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) 1)) 2) -1) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) -1) (pow.f64 (/.f64 (-.f64 1 x) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (/.f64 (-.f64 1 x) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) x) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) x) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 x)) -1))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2) x)) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2)))) (cbrt.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 5/2)) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2)))
(pow.f64 (/.f64 x (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3) 1/3)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2) 2)
(pow.f64 (-.f64 (/.f64 1 x) 1) -1)
(pow.f64 (E.f64) (log.f64 (/.f64 x (-.f64 1 x))))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)) 1/3)
(pow.f64 (/.f64 (-.f64 (/.f64 1 x) 1) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (-.f64 1 x))))) (sqrt.f64 (log.f64 (/.f64 x (-.f64 1 x)))))
(neg.f64 (/.f64 x (neg.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 x))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2)) 2))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 x) 1)) -1))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))

simplify80.0ms (7.6%)

Algorithm
1×egg-herbie
Rules
992×associate-*r*
934×associate-*l*
732×fma-neg
702×log-prod
650×exp-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02262814
15512646
214892576
361922423
Stop Event
1×node limit
Counts
78 → 122
Calls
Call 1
Inputs
x
(+.f64 x (pow.f64 x 2))
(+.f64 x (+.f64 (pow.f64 x 2) (pow.f64 x 3)))
(+.f64 x (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) (pow.f64 x 4))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))
(+.f64 0 (/.f64 x (-.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 1 x))))))
(-.f64 (+.f64 1 (/.f64 x (-.f64 1 x))) 1)
(*.f64 x (/.f64 1 (-.f64 1 x)))
(*.f64 1 (/.f64 x (-.f64 1 x)))
(*.f64 (/.f64 x (-.f64 1 x)) 1)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2)) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 x))))
(*.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2) (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) x)
(*.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 2))) (+.f64 x 1))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))) 3))
(*.f64 (pow.f64 1 1/3) (/.f64 x (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2) x) 1/3) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2))) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 5/2) 1/3) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) 1)) 2) -1) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) -1) (pow.f64 (/.f64 (-.f64 1 x) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (/.f64 (-.f64 1 x) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) x) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) x) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 x)) -1))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2) x)) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2)))) (cbrt.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 5/2)) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2)))
(pow.f64 (/.f64 x (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3) 1/3)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2) 2)
(pow.f64 (-.f64 (/.f64 1 x) 1) -1)
(pow.f64 (E.f64) (log.f64 (/.f64 x (-.f64 1 x))))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)) 1/3)
(pow.f64 (/.f64 (-.f64 (/.f64 1 x) 1) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (-.f64 1 x))))) (sqrt.f64 (log.f64 (/.f64 x (-.f64 1 x)))))
(neg.f64 (/.f64 x (neg.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 x))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2)) 2))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 x) 1)) -1))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))
Outputs
x
(+.f64 x (pow.f64 x 2))
(fma.f64 x x x)
(+.f64 x (+.f64 (pow.f64 x 2) (pow.f64 x 3)))
(*.f64 x (fma.f64 x (+.f64 x 1) 1))
(fma.f64 x (+.f64 x 1) (pow.f64 x 3))
(+.f64 x (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) (pow.f64 x 4))))
(+.f64 (*.f64 x (fma.f64 x (+.f64 x 1) 1)) (pow.f64 x 4))
(*.f64 (+.f64 (pow.f64 x 2) 1) (fma.f64 x x x))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(-.f64 -1 (/.f64 1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
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(*.f64 (pow.f64 1 1/3) (/.f64 x (-.f64 1 x)))
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(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2))) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) -2) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) -2)))) (cbrt.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -2) (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -2)))) (cbrt.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 5/2) 1/3) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 5/2)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 5/2)) (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) 1)) 2) -1) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) 2)))
(/.f64 (*.f64 1 (cbrt.f64 (/.f64 x (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))) 2))
(/.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x))) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) -1) (pow.f64 (/.f64 (-.f64 1 x) (cbrt.f64 x)) -1))
(/.f64 x (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (/.f64 (-.f64 1 x) (sqrt.f64 x)) -1))
(*.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 1 (/.f64 (-.f64 1 x) (sqrt.f64 x))))
(*.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 (sqrt.f64 x) (-.f64 1 x)))
(/.f64 (/.f64 (sqrt.f64 x) (-.f64 1 x)) (pow.f64 x -1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) x) -1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 x (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 3))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 x (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 3))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 x (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 x)) 3))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) x) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 x)) -2)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 x)) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 x))))
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(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 x)) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 x)) -2)
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) -3))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -3/2)) (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -3/2)))
(pow.f64 (pow.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -3/2) 1/6) 4)
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2) x)) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 (+.f64 (/.f64 1 x) -1) -2))) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 (+.f64 -1 (/.f64 1 x)) -2))) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 (+.f64 -1 (/.f64 1 x)) -2))) (cbrt.f64 (/.f64 -1 (+.f64 x -1))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2)))) (cbrt.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) -2) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) -2)))) (cbrt.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -2) (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 x)) -2)))) (cbrt.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 5/2)) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2)))
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(pow.f64 (/.f64 x (-.f64 1 x)) 1)
(/.f64 x (-.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 3)
(/.f64 x (-.f64 1 x))
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(/.f64 1 (+.f64 (/.f64 1 x) -1))
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(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(pow.f64 (/.f64 (-.f64 (/.f64 1 x) 1) 1) -1)
(/.f64 1 (+.f64 (/.f64 1 x) -1))
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (-.f64 1 x))))) (sqrt.f64 (log.f64 (/.f64 x (-.f64 1 x)))))
(neg.f64 (/.f64 x (neg.f64 (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -2))
(/.f64 1 (+.f64 (/.f64 1 x) -1))
(/.f64 1 (+.f64 -1 (/.f64 1 x)))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3))
(/.f64 1 (+.f64 (/.f64 1 x) -1))
(/.f64 1 (+.f64 -1 (/.f64 1 x)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 x) 3)))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (-.f64 1 x)))) 3))
(/.f64 x (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -3)) 1/3))
(/.f64 1 (+.f64 (/.f64 1 x) -1))
(/.f64 1 (+.f64 -1 (/.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (/.f64 1 x) 1) -1/2)) 2))
(/.f64 1 (+.f64 (/.f64 1 x) -1))
(/.f64 1 (+.f64 -1 (/.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 x) 1)) -1))
(/.f64 1 (+.f64 (/.f64 1 x) -1))
(/.f64 1 (+.f64 -1 (/.f64 1 x)))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))

eval36.0ms (3.5%)

Compiler

Compiled 1563 to 1213 computations (22.4% saved)

prune16.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1193122
Fresh000
Picked011
Done000
Total1194123
Accuracy
100.0%
Counts
123 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶49.7%
(fma.f64 x x x)
✓100.0%
(/.f64 x (-.f64 1 x))
50.8%
x
51.3%
-1
▶49.7%
(fma.f64 x x x)
✓100.0%
(/.f64 x (-.f64 1 x))
50.8%
x
51.3%
-1
Compiler

Compiled 30 to 18 computations (40% saved)

localize16.0ms (1.6%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done011
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓49.7%
(fma.f64 x x x)
✓100.0%
(/.f64 x (-.f64 1 x))
50.8%
x
51.3%
-1
✓49.7%
(fma.f64 x x x)
✓100.0%
(/.f64 x (-.f64 1 x))
50.8%
x
51.3%
-1
Compiler

Compiled 30 to 18 computations (40% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done022
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓49.7%
(fma.f64 x x x)
✓100.0%
(/.f64 x (-.f64 1 x))
50.8%
x
51.3%
-1
✓49.7%
(fma.f64 x x x)
✓100.0%
(/.f64 x (-.f64 1 x))
50.8%
x
51.3%
-1
Compiler

Compiled 30 to 18 computations (40% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done022
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓49.7%
(fma.f64 x x x)
✓100.0%
(/.f64 x (-.f64 1 x))
50.8%
x
51.3%
-1
Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes8.0ms (0.8%)

Counts
4 → 1
Calls
Call 1
Inputs
-1
x
(/.f64 x (-.f64 1 x))
(fma.f64 x x x)
Outputs
(/.f64 x (-.f64 1 x))
Calls

2 calls:

4.0ms
x
3.0ms
(/.f64 x (-.f64 1 x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 x (-.f64 1 x))
Compiler

Compiled 20 to 11 computations (45% saved)

regimes11.0ms (1%)

Counts
2 → 3
Calls
Call 1
Inputs
-1
x
Outputs
-1
x
-1
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
98.6%3x
Compiler

Compiled 5 to 3 computations (40% saved)

regimes4.0ms (0.4%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
-1
Outputs
-1
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
51.3%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch44.0ms (4.1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
1.9337704145971677e-14
637.9175408737541
29.0ms
-4.320602208473102
-5.2442945024878164e-18
Results
40.0ms320×body256valid
Compiler

Compiled 130 to 107 computations (17.7% saved)

simplify3.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
4×sub-neg
4×+-commutative
2×1-exp
2×neg-mul-1
2×if-if-or-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01650
12650
22950
33150
43250
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 x (-.f64 1 x))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) x -1))
-1
Outputs
(/.f64 x (-.f64 1 x))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) x -1))
-1
Compiler

Compiled 20 to 15 computations (25% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess31.0ms (2.9%)

Compiler

Compiled 48 to 34 computations (29.2% saved)

Profiling

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