Data.Colour.CIE:cieLAB from colour-2.3.3, B

Time bar (total: 1.3s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample620.0ms (46.6%)

Results
608.0ms8256×body256valid
Bogosity

preprocess59.0ms (4.4%)

Algorithm
1×egg-herbie
Rules
206×fma-def
76×distribute-rgt-in
46×distribute-lft-neg-in
44×div-sub
42×fma-neg
Problems
256×No Errors
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01476
12468
24164
37864
416364
529860
644648
751348
853848
956848
1058448
1158748
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x 16) 116)
(/.f64 (+.f64 x 16) 116)
(/.f64 (+.f64 (neg.f64 x) 16) 116)
(neg.f64 (/.f64 (+.f64 (neg.f64 x) 16) 116))
Outputs
(/.f64 (+.f64 x 16) 116)
(-.f64 4/29 (/.f64 x -116))
(+.f64 4/29 (*.f64 x 1/116))
(fma.f64 x 1/116 4/29)
(/.f64 (+.f64 x 16) 116)
(-.f64 4/29 (/.f64 x -116))
(+.f64 4/29 (*.f64 x 1/116))
(fma.f64 x 1/116 4/29)
(/.f64 (+.f64 (neg.f64 x) 16) 116)
(/.f64 (+.f64 16 (neg.f64 x)) 116)
(/.f64 (-.f64 16 x) 116)
(+.f64 4/29 (/.f64 x -116))
(*.f64 (+.f64 x -16) -1/116)
(fma.f64 x -1/116 4/29)
(neg.f64 (/.f64 (+.f64 (neg.f64 x) 16) 116))
(/.f64 (neg.f64 (+.f64 16 (neg.f64 x))) 116)
(/.f64 (neg.f64 (-.f64 16 x)) 116)
(/.f64 (+.f64 x -16) 116)
(+.f64 -4/29 (/.f64 x 116))
(+.f64 (*.f64 1/116 x) -4/29)
(fma.f64 1/116 x -4/29)
(fma.f64 x 1/116 -4/29)
Compiler

Compiled 19 to 15 computations (21.1% saved)

eval1.0ms (0%)

Compiler

Compiled 15 to 12 computations (20% saved)

prune2.0ms (0.2%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(fma.f64 x 1/116 4/29)
▶100.0%
(/.f64 (+.f64 x 16) 116)
▶100.0%
(-.f64 4/29 (/.f64 x -116))
▶99.9%
(fma.f64 x 1/116 4/29)
▶100.0%
(/.f64 (+.f64 x 16) 116)
▶100.0%
(-.f64 4/29 (/.f64 x -116))
Compiler

Compiled 34 to 28 computations (17.6% saved)

localize41.0ms (3.1%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓99.9%
(fma.f64 x 1/116 4/29)
✓100.0%
(/.f64 (+.f64 x 16) 116)
✓100.0%
(-.f64 4/29 (/.f64 x -116))
Compiler

Compiled 31 to 23 computations (25.8% saved)

series2.0ms (0.2%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(fma.f64 x 1/116 4/29)
0.0ms
x
@inf
(-.f64 4/29 (/.f64 x -116))
0.0ms
x
@0
(/.f64 (+.f64 x 16) 116)
0.0ms
x
@0
(-.f64 4/29 (/.f64 x -116))
0.0ms
x
@0
(fma.f64 x 1/116 4/29)

rewrite119.0ms (9%)

Algorithm
1×batch-egg-rewrite
Rules
794×log1p-expm1-u
794×expm1-log1p-u
690×log-prod
424×pow-prod-down
312×prod-diff
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01648
117340
2234740
Stop Event
1×node limit
Counts
3 → 147
Calls
Call 1
Inputs
(-.f64 4/29 (/.f64 x -116))
(/.f64 (+.f64 x 16) 116)
(fma.f64 x 1/116 4/29)
Outputs
(+.f64 4/29 (*.f64 x 1/116))
(+.f64 4/29 (*.f64 (*.f64 x 1/116) 1))
(+.f64 (*.f64 x 1/116) 4/29)
(+.f64 (*.f64 x 1/116) (log.f64 (exp.f64 4/29)))
(+.f64 0 (fma.f64 x 1/116 4/29))
(+.f64 (*.f64 (*.f64 x 1/116) 1) 4/29)
(+.f64 (log.f64 (exp.f64 4/29)) (*.f64 x 1/116))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29))) (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))))
(*.f64 (fma.f64 x 1/116 4/29) 1)
(*.f64 (fma.f64 x 1/116 4/29) (log.f64 (exp.f64 1)))
(*.f64 1 (fma.f64 x 1/116 4/29))
(*.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2) (cbrt.f64 (fma.f64 x 1/116 4/29)))
(*.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) (sqrt.f64 (fma.f64 x 1/116 4/29)))
(*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (/.f64 1 (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841)))
(*.f64 (-.f64 16/841 (pow.f64 (*.f64 x -1/116) 2)) (/.f64 1 (fma.f64 x -1/116 4/29)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841) (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896))))
(/.f64 1 (/.f64 (fma.f64 x -1/116 4/29) (-.f64 16/841 (pow.f64 (*.f64 x -1/116) 2))))
(/.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841))
(/.f64 (-.f64 16/841 (pow.f64 (*.f64 x -1/116) 2)) (fma.f64 x -1/116 4/29))
(/.f64 (neg.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896))) (neg.f64 (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841)))
(/.f64 (neg.f64 (-.f64 16/841 (pow.f64 (*.f64 x -1/116) 2))) (neg.f64 (fma.f64 x -1/116 4/29)))
(/.f64 (+.f64 64/24389 (pow.f64 (*.f64 x 1/116) 3)) (+.f64 16/841 (-.f64 (pow.f64 (*.f64 x 1/116) 2) (*.f64 4/29 (*.f64 x 1/116)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/116) 3) 64/24389) (+.f64 (pow.f64 (*.f64 x 1/116) 2) (-.f64 16/841 (*.f64 (*.f64 x 1/116) 4/29))))
(/.f64 (-.f64 16/841 (pow.f64 (*.f64 x 1/116) 2)) (-.f64 4/29 (*.f64 x 1/116)))
(/.f64 (-.f64 (pow.f64 (*.f64 x 1/116) 2) 16/841) (fma.f64 x 1/116 -4/29))
(pow.f64 (fma.f64 x 1/116 4/29) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841) (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896))) -1)
(pow.f64 (/.f64 (fma.f64 x -1/116 4/29) (-.f64 16/841 (pow.f64 (*.f64 x -1/116) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 2))
(log.f64 (exp.f64 (fma.f64 x 1/116 4/29)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/116 4/29))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/116 4/29)))
(exp.f64 (log.f64 (fma.f64 x 1/116 4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/116 4/29)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x 1/116 4/29)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/116 4/29))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(fma.f64 1 (*.f64 x 1/116) 4/29)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/116) 4/29)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/116)) 2) (neg.f64 (cbrt.f64 (*.f64 x -1/116))) 4/29)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/116) 4/29)
(fma.f64 (sqrt.f64 (*.f64 x -1/116)) (neg.f64 (sqrt.f64 (*.f64 x -1/116))) 4/29)
(fma.f64 (neg.f64 x) -1/116 4/29)
(fma.f64 (*.f64 x 1/116) 1 4/29)
(fma.f64 -1 (*.f64 x -1/116) 4/29)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x 1/116)) (cbrt.f64 (*.f64 x 1/116))) (cbrt.f64 (*.f64 x 1/116)) 4/29)
(fma.f64 (sqrt.f64 (*.f64 x 1/116)) (sqrt.f64 (*.f64 x 1/116)) 4/29)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/116)) 2)) (cbrt.f64 (*.f64 x -1/116)) 4/29)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x -1/116))) (sqrt.f64 (*.f64 x -1/116)) 4/29)
(+.f64 0 (*.f64 (+.f64 x 16) 1/116))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 x 16) 1/116))) (cbrt.f64 (exp.f64 (*.f64 (+.f64 x 16) 1/116))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 x 16) 1/116)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 x 16) 1/116)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 x 16) 1/116)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116))) 1)
(*.f64 (+.f64 x 16) 1/116)
(*.f64 (*.f64 (+.f64 x 16) 1/116) 1)
(*.f64 (*.f64 (+.f64 x 16) 1/116) (log.f64 (exp.f64 1)))
(*.f64 1/116 (+.f64 x 16))
(*.f64 1 (*.f64 (+.f64 x 16) 1/116))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (*.f64 (cbrt.f64 (+.f64 x 16)) 1/116))
(*.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(*.f64 (sqrt.f64 (+.f64 x 16)) (*.f64 (sqrt.f64 (+.f64 x 16)) 1/116))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(*.f64 (fma.f64 -1 x -16) -1/116)
(pow.f64 (*.f64 (+.f64 x 16) 1/116) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 3)
(pow.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456) 1/2)
(pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)
(pow.f64 (/.f64 116 (+.f64 x 16)) -1)
(pow.f64 (/.f64 (/.f64 116 (+.f64 x 16)) 1) -1)
(neg.f64 (/.f64 (+.f64 x 16) -116))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456))
(log.f64 (exp.f64 (*.f64 (+.f64 x 16) 1/116)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 16) 1/116))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116)))
(exp.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 x 16) 1/116))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 116 (+.f64 x 16))) -1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 x 1/116))
(+.f64 4/29 (*.f64 (*.f64 x 1/116) 1))
(+.f64 (*.f64 x 1/116) 4/29)
(+.f64 (*.f64 x 1/116) (log.f64 (exp.f64 4/29)))
(+.f64 0 (fma.f64 x 1/116 4/29))
(+.f64 (*.f64 (*.f64 x 1/116) 1) 4/29)
(+.f64 (log.f64 (exp.f64 4/29)) (*.f64 x 1/116))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29))) (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))))
(-.f64 4/29 (*.f64 x -1/116))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/116 4/29))) 1)
(-.f64 (/.f64 64/24389 (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841)) (/.f64 (*.f64 (pow.f64 x 3) -1/1560896) (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841)))
(-.f64 (/.f64 16/841 (fma.f64 x -1/116 4/29)) (/.f64 (pow.f64 (*.f64 x -1/116) 2) (fma.f64 x -1/116 4/29)))
(-.f64 (log.f64 (exp.f64 4/29)) (*.f64 x -1/116))
(*.f64 (fma.f64 x 1/116 4/29) 1)
(*.f64 (fma.f64 x 1/116 4/29) (log.f64 (exp.f64 1)))
(*.f64 1 (fma.f64 x 1/116 4/29))
(*.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2) (cbrt.f64 (fma.f64 x 1/116 4/29)))
(*.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) (sqrt.f64 (fma.f64 x 1/116 4/29)))
(*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (/.f64 1 (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841)))
(*.f64 (-.f64 16/841 (pow.f64 (*.f64 x -1/116) 2)) (/.f64 1 (fma.f64 x -1/116 4/29)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841) (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896))))
(/.f64 1 (/.f64 (fma.f64 x -1/116 4/29) (-.f64 16/841 (pow.f64 (*.f64 x -1/116) 2))))
(/.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841))
(/.f64 (-.f64 16/841 (pow.f64 (*.f64 x -1/116) 2)) (fma.f64 x -1/116 4/29))
(/.f64 (neg.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896))) (neg.f64 (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841)))
(/.f64 (neg.f64 (-.f64 16/841 (pow.f64 (*.f64 x -1/116) 2))) (neg.f64 (fma.f64 x -1/116 4/29)))
(/.f64 (+.f64 64/24389 (pow.f64 (*.f64 x 1/116) 3)) (+.f64 16/841 (-.f64 (pow.f64 (*.f64 x 1/116) 2) (*.f64 4/29 (*.f64 x 1/116)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/116) 3) 64/24389) (+.f64 (pow.f64 (*.f64 x 1/116) 2) (-.f64 16/841 (*.f64 (*.f64 x 1/116) 4/29))))
(/.f64 (-.f64 16/841 (pow.f64 (*.f64 x 1/116) 2)) (-.f64 4/29 (*.f64 x 1/116)))
(/.f64 (-.f64 (pow.f64 (*.f64 x 1/116) 2) 16/841) (fma.f64 x 1/116 -4/29))
(pow.f64 (fma.f64 x 1/116 4/29) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841) (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896))) -1)
(pow.f64 (/.f64 (fma.f64 x -1/116 4/29) (-.f64 16/841 (pow.f64 (*.f64 x -1/116) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 2))
(log.f64 (exp.f64 (fma.f64 x 1/116 4/29)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/116 4/29))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/116 4/29)))
(exp.f64 (log.f64 (fma.f64 x 1/116 4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/116 4/29)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x 1/116 4/29)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/116 4/29))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x 1/116 4/29)))

simplify83.0ms (6.3%)

Algorithm
1×egg-herbie
Rules
1166×div-sub
780×fma-def
648×log-prod
548×distribute-lft-in
532×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02473602
15273303
212953199
353333199
Stop Event
1×node limit
Counts
183 → 116
Calls
Call 1
Inputs
4/29
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
4/29
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
4/29
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 x 1/116))
(+.f64 4/29 (*.f64 (*.f64 x 1/116) 1))
(+.f64 (*.f64 x 1/116) 4/29)
(+.f64 (*.f64 x 1/116) (log.f64 (exp.f64 4/29)))
(+.f64 0 (fma.f64 x 1/116 4/29))
(+.f64 (*.f64 (*.f64 x 1/116) 1) 4/29)
(+.f64 (log.f64 (exp.f64 4/29)) (*.f64 x 1/116))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29))) (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))))
(*.f64 (fma.f64 x 1/116 4/29) 1)
(*.f64 (fma.f64 x 1/116 4/29) (log.f64 (exp.f64 1)))
(*.f64 1 (fma.f64 x 1/116 4/29))
(*.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2) (cbrt.f64 (fma.f64 x 1/116 4/29)))
(*.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) (sqrt.f64 (fma.f64 x 1/116 4/29)))
(*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (/.f64 1 (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841)))
(*.f64 (-.f64 16/841 (pow.f64 (*.f64 x -1/116) 2)) (/.f64 1 (fma.f64 x -1/116 4/29)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841) (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896))))
(/.f64 1 (/.f64 (fma.f64 x -1/116 4/29) (-.f64 16/841 (pow.f64 (*.f64 x -1/116) 2))))
(/.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841))
(/.f64 (-.f64 16/841 (pow.f64 (*.f64 x -1/116) 2)) (fma.f64 x -1/116 4/29))
(/.f64 (neg.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896))) (neg.f64 (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841)))
(/.f64 (neg.f64 (-.f64 16/841 (pow.f64 (*.f64 x -1/116) 2))) (neg.f64 (fma.f64 x -1/116 4/29)))
(/.f64 (+.f64 64/24389 (pow.f64 (*.f64 x 1/116) 3)) (+.f64 16/841 (-.f64 (pow.f64 (*.f64 x 1/116) 2) (*.f64 4/29 (*.f64 x 1/116)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/116) 3) 64/24389) (+.f64 (pow.f64 (*.f64 x 1/116) 2) (-.f64 16/841 (*.f64 (*.f64 x 1/116) 4/29))))
(/.f64 (-.f64 16/841 (pow.f64 (*.f64 x 1/116) 2)) (-.f64 4/29 (*.f64 x 1/116)))
(/.f64 (-.f64 (pow.f64 (*.f64 x 1/116) 2) 16/841) (fma.f64 x 1/116 -4/29))
(pow.f64 (fma.f64 x 1/116 4/29) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841) (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896))) -1)
(pow.f64 (/.f64 (fma.f64 x -1/116 4/29) (-.f64 16/841 (pow.f64 (*.f64 x -1/116) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 2))
(log.f64 (exp.f64 (fma.f64 x 1/116 4/29)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/116 4/29))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/116 4/29)))
(exp.f64 (log.f64 (fma.f64 x 1/116 4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/116 4/29)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x 1/116 4/29)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/116 4/29))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(fma.f64 1 (*.f64 x 1/116) 4/29)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/116) 4/29)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/116)) 2) (neg.f64 (cbrt.f64 (*.f64 x -1/116))) 4/29)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/116) 4/29)
(fma.f64 (sqrt.f64 (*.f64 x -1/116)) (neg.f64 (sqrt.f64 (*.f64 x -1/116))) 4/29)
(fma.f64 (neg.f64 x) -1/116 4/29)
(fma.f64 (*.f64 x 1/116) 1 4/29)
(fma.f64 -1 (*.f64 x -1/116) 4/29)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x 1/116)) (cbrt.f64 (*.f64 x 1/116))) (cbrt.f64 (*.f64 x 1/116)) 4/29)
(fma.f64 (sqrt.f64 (*.f64 x 1/116)) (sqrt.f64 (*.f64 x 1/116)) 4/29)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/116)) 2)) (cbrt.f64 (*.f64 x -1/116)) 4/29)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x -1/116))) (sqrt.f64 (*.f64 x -1/116)) 4/29)
(+.f64 0 (*.f64 (+.f64 x 16) 1/116))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 x 16) 1/116))) (cbrt.f64 (exp.f64 (*.f64 (+.f64 x 16) 1/116))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 x 16) 1/116)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 x 16) 1/116)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 x 16) 1/116)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116))) 1)
(*.f64 (+.f64 x 16) 1/116)
(*.f64 (*.f64 (+.f64 x 16) 1/116) 1)
(*.f64 (*.f64 (+.f64 x 16) 1/116) (log.f64 (exp.f64 1)))
(*.f64 1/116 (+.f64 x 16))
(*.f64 1 (*.f64 (+.f64 x 16) 1/116))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (*.f64 (cbrt.f64 (+.f64 x 16)) 1/116))
(*.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(*.f64 (sqrt.f64 (+.f64 x 16)) (*.f64 (sqrt.f64 (+.f64 x 16)) 1/116))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(*.f64 (fma.f64 -1 x -16) -1/116)
(pow.f64 (*.f64 (+.f64 x 16) 1/116) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 3)
(pow.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456) 1/2)
(pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)
(pow.f64 (/.f64 116 (+.f64 x 16)) -1)
(pow.f64 (/.f64 (/.f64 116 (+.f64 x 16)) 1) -1)
(neg.f64 (/.f64 (+.f64 x 16) -116))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456))
(log.f64 (exp.f64 (*.f64 (+.f64 x 16) 1/116)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 16) 1/116))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116)))
(exp.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 x 16) 1/116))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 116 (+.f64 x 16))) -1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 x 1/116))
(+.f64 4/29 (*.f64 (*.f64 x 1/116) 1))
(+.f64 (*.f64 x 1/116) 4/29)
(+.f64 (*.f64 x 1/116) (log.f64 (exp.f64 4/29)))
(+.f64 0 (fma.f64 x 1/116 4/29))
(+.f64 (*.f64 (*.f64 x 1/116) 1) 4/29)
(+.f64 (log.f64 (exp.f64 4/29)) (*.f64 x 1/116))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29))) (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))))
(-.f64 4/29 (*.f64 x -1/116))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/116 4/29))) 1)
(-.f64 (/.f64 64/24389 (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841)) (/.f64 (*.f64 (pow.f64 x 3) -1/1560896) (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841)))
(-.f64 (/.f64 16/841 (fma.f64 x -1/116 4/29)) (/.f64 (pow.f64 (*.f64 x -1/116) 2) (fma.f64 x -1/116 4/29)))
(-.f64 (log.f64 (exp.f64 4/29)) (*.f64 x -1/116))
(*.f64 (fma.f64 x 1/116 4/29) 1)
(*.f64 (fma.f64 x 1/116 4/29) (log.f64 (exp.f64 1)))
(*.f64 1 (fma.f64 x 1/116 4/29))
(*.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2) (cbrt.f64 (fma.f64 x 1/116 4/29)))
(*.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) (sqrt.f64 (fma.f64 x 1/116 4/29)))
(*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (/.f64 1 (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841)))
(*.f64 (-.f64 16/841 (pow.f64 (*.f64 x -1/116) 2)) (/.f64 1 (fma.f64 x -1/116 4/29)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841) (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896))))
(/.f64 1 (/.f64 (fma.f64 x -1/116 4/29) (-.f64 16/841 (pow.f64 (*.f64 x -1/116) 2))))
(/.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841))
(/.f64 (-.f64 16/841 (pow.f64 (*.f64 x -1/116) 2)) (fma.f64 x -1/116 4/29))
(/.f64 (neg.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896))) (neg.f64 (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841)))
(/.f64 (neg.f64 (-.f64 16/841 (pow.f64 (*.f64 x -1/116) 2))) (neg.f64 (fma.f64 x -1/116 4/29)))
(/.f64 (+.f64 64/24389 (pow.f64 (*.f64 x 1/116) 3)) (+.f64 16/841 (-.f64 (pow.f64 (*.f64 x 1/116) 2) (*.f64 4/29 (*.f64 x 1/116)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/116) 3) 64/24389) (+.f64 (pow.f64 (*.f64 x 1/116) 2) (-.f64 16/841 (*.f64 (*.f64 x 1/116) 4/29))))
(/.f64 (-.f64 16/841 (pow.f64 (*.f64 x 1/116) 2)) (-.f64 4/29 (*.f64 x 1/116)))
(/.f64 (-.f64 (pow.f64 (*.f64 x 1/116) 2) 16/841) (fma.f64 x 1/116 -4/29))
(pow.f64 (fma.f64 x 1/116 4/29) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841) (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896))) -1)
(pow.f64 (/.f64 (fma.f64 x -1/116 4/29) (-.f64 16/841 (pow.f64 (*.f64 x -1/116) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 2))
(log.f64 (exp.f64 (fma.f64 x 1/116 4/29)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/116 4/29))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/116 4/29)))
(exp.f64 (log.f64 (fma.f64 x 1/116 4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/116 4/29)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x 1/116 4/29)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/116 4/29))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x 1/116 4/29)))
Outputs
4/29
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
4/29
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
4/29
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 x 1/116))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 (*.f64 x 1/116) 1))
(fma.f64 1/116 x 4/29)
(+.f64 (*.f64 x 1/116) 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 (*.f64 x 1/116) (log.f64 (exp.f64 4/29)))
(fma.f64 1/116 x 4/29)
(+.f64 0 (fma.f64 x 1/116 4/29))
(fma.f64 1/116 x 4/29)
(+.f64 (*.f64 (*.f64 x 1/116) 1) 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 (log.f64 (exp.f64 4/29)) (*.f64 x 1/116))
(fma.f64 1/116 x 4/29)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29))) (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 1/116 x 4/29))) (cbrt.f64 (exp.f64 (fma.f64 1/116 x 4/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/116 x 4/29)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/116 x 4/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/116 x 4/29)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/116 x 4/29)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))))
(fma.f64 1/116 x 4/29)
(*.f64 (fma.f64 x 1/116 4/29) 1)
(fma.f64 1/116 x 4/29)
(*.f64 (fma.f64 x 1/116 4/29) (log.f64 (exp.f64 1)))
(fma.f64 1/116 x 4/29)
(*.f64 1 (fma.f64 x 1/116 4/29))
(fma.f64 1/116 x 4/29)
(*.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2))
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2) (cbrt.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 1/116 x 4/29)
(*.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) (sqrt.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 1/116 x 4/29)
(*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (/.f64 1 (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841))
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(*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (/.f64 1 (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (*.f64 -1/116 (fma.f64 x -1/116 4/29)) 16/841))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 (*.f64 1/116 x) (fma.f64 1/116 x -4/29) 16/841))
(-.f64 (/.f64 16/841 (fma.f64 x -1/116 4/29)) (/.f64 (pow.f64 (*.f64 x -1/116) 2) (fma.f64 x -1/116 4/29)))
(*.f64 (-.f64 16/841 (pow.f64 (*.f64 x -1/116) 2)) (/.f64 1 (fma.f64 x -1/116 4/29)))
(/.f64 (-.f64 16/841 (pow.f64 (*.f64 1/116 x) 2)) (fma.f64 x -1/116 4/29))
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (fma.f64 1/116 x -4/29))
(-.f64 (log.f64 (exp.f64 4/29)) (*.f64 x -1/116))
(fma.f64 1/116 x 4/29)
(*.f64 (fma.f64 x 1/116 4/29) 1)
(fma.f64 1/116 x 4/29)
(*.f64 (fma.f64 x 1/116 4/29) (log.f64 (exp.f64 1)))
(fma.f64 1/116 x 4/29)
(*.f64 1 (fma.f64 x 1/116 4/29))
(fma.f64 1/116 x 4/29)
(*.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2))
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2) (cbrt.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 1/116 x 4/29)
(*.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) (sqrt.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 1/116 x 4/29)
(*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (/.f64 1 (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (*.f64 -1/116 (fma.f64 x -1/116 4/29)) 16/841))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 (*.f64 1/116 x) (fma.f64 1/116 x -4/29) 16/841))
(*.f64 (-.f64 16/841 (pow.f64 (*.f64 x -1/116) 2)) (/.f64 1 (fma.f64 x -1/116 4/29)))
(/.f64 (-.f64 16/841 (pow.f64 (*.f64 1/116 x) 2)) (fma.f64 x -1/116 4/29))
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (fma.f64 1/116 x -4/29))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841) (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896))))
(*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (/.f64 1 (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (*.f64 -1/116 (fma.f64 x -1/116 4/29)) 16/841))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 (*.f64 1/116 x) (fma.f64 1/116 x -4/29) 16/841))
(/.f64 1 (/.f64 (fma.f64 x -1/116 4/29) (-.f64 16/841 (pow.f64 (*.f64 x -1/116) 2))))
(*.f64 (-.f64 16/841 (pow.f64 (*.f64 x -1/116) 2)) (/.f64 1 (fma.f64 x -1/116 4/29)))
(/.f64 (-.f64 16/841 (pow.f64 (*.f64 1/116 x) 2)) (fma.f64 x -1/116 4/29))
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (fma.f64 1/116 x -4/29))
(/.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841))
(*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (/.f64 1 (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (*.f64 -1/116 (fma.f64 x -1/116 4/29)) 16/841))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 (*.f64 1/116 x) (fma.f64 1/116 x -4/29) 16/841))
(/.f64 (-.f64 16/841 (pow.f64 (*.f64 x -1/116) 2)) (fma.f64 x -1/116 4/29))
(*.f64 (-.f64 16/841 (pow.f64 (*.f64 x -1/116) 2)) (/.f64 1 (fma.f64 x -1/116 4/29)))
(/.f64 (-.f64 16/841 (pow.f64 (*.f64 1/116 x) 2)) (fma.f64 x -1/116 4/29))
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (fma.f64 1/116 x -4/29))
(/.f64 (neg.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896))) (neg.f64 (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841)))
(*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (/.f64 1 (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (*.f64 -1/116 (fma.f64 x -1/116 4/29)) 16/841))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 (*.f64 1/116 x) (fma.f64 1/116 x -4/29) 16/841))
(/.f64 (neg.f64 (-.f64 16/841 (pow.f64 (*.f64 x -1/116) 2))) (neg.f64 (fma.f64 x -1/116 4/29)))
(*.f64 (-.f64 16/841 (pow.f64 (*.f64 x -1/116) 2)) (/.f64 1 (fma.f64 x -1/116 4/29)))
(/.f64 (-.f64 16/841 (pow.f64 (*.f64 1/116 x) 2)) (fma.f64 x -1/116 4/29))
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (fma.f64 1/116 x -4/29))
(/.f64 (+.f64 64/24389 (pow.f64 (*.f64 x 1/116) 3)) (+.f64 16/841 (-.f64 (pow.f64 (*.f64 x 1/116) 2) (*.f64 4/29 (*.f64 x 1/116)))))
(*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (/.f64 1 (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (*.f64 -1/116 (fma.f64 x -1/116 4/29)) 16/841))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 (*.f64 1/116 x) (fma.f64 1/116 x -4/29) 16/841))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/116) 3) 64/24389) (+.f64 (pow.f64 (*.f64 x 1/116) 2) (-.f64 16/841 (*.f64 (*.f64 x 1/116) 4/29))))
(*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (/.f64 1 (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (*.f64 -1/116 (fma.f64 x -1/116 4/29)) 16/841))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 (*.f64 1/116 x) (fma.f64 1/116 x -4/29) 16/841))
(/.f64 (-.f64 16/841 (pow.f64 (*.f64 x 1/116) 2)) (-.f64 4/29 (*.f64 x 1/116)))
(*.f64 (-.f64 16/841 (pow.f64 (*.f64 x -1/116) 2)) (/.f64 1 (fma.f64 x -1/116 4/29)))
(/.f64 (-.f64 16/841 (pow.f64 (*.f64 1/116 x) 2)) (fma.f64 x -1/116 4/29))
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (fma.f64 1/116 x -4/29))
(/.f64 (-.f64 (pow.f64 (*.f64 x 1/116) 2) 16/841) (fma.f64 x 1/116 -4/29))
(*.f64 (-.f64 16/841 (pow.f64 (*.f64 x -1/116) 2)) (/.f64 1 (fma.f64 x -1/116 4/29)))
(/.f64 (-.f64 16/841 (pow.f64 (*.f64 1/116 x) 2)) (fma.f64 x -1/116 4/29))
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (fma.f64 1/116 x -4/29))
(pow.f64 (fma.f64 x 1/116 4/29) 1)
(fma.f64 1/116 x 4/29)
(pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 3)
(fma.f64 1/116 x 4/29)
(pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 2) 1/2)
(fma.f64 1/116 x 4/29)
(pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3) 1/3)
(fma.f64 1/116 x 4/29)
(pow.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) 2)
(fma.f64 1/116 x 4/29)
(pow.f64 (/.f64 (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841) (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896))) -1)
(*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (/.f64 1 (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 (*.f64 x -1/116) (fma.f64 x -1/116 4/29) 16/841))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (*.f64 -1/116 (fma.f64 x -1/116 4/29)) 16/841))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 (*.f64 1/116 x) (fma.f64 1/116 x -4/29) 16/841))
(pow.f64 (/.f64 (fma.f64 x -1/116 4/29) (-.f64 16/841 (pow.f64 (*.f64 x -1/116) 2))) -1)
(*.f64 (-.f64 16/841 (pow.f64 (*.f64 x -1/116) 2)) (/.f64 1 (fma.f64 x -1/116 4/29)))
(/.f64 (-.f64 16/841 (pow.f64 (*.f64 1/116 x) 2)) (fma.f64 x -1/116 4/29))
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (fma.f64 1/116 x -4/29))
(sqrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 2))
(fma.f64 1/116 x 4/29)
(log.f64 (exp.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 1/116 x 4/29)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/116 4/29))))
(fma.f64 1/116 x 4/29)
(cbrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3))
(fma.f64 1/116 x 4/29)
(expm1.f64 (log1p.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 1/116 x 4/29)
(exp.f64 (log.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/116 4/29)) 1))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x 1/116 4/29)) 1) 1))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) 3))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3)) 1/3))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/116 4/29))) 2))
(fma.f64 1/116 x 4/29)
(log1p.f64 (expm1.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 1/116 x 4/29)

eval58.0ms (4.3%)

Compiler

Compiled 1171 to 992 computations (15.3% saved)

prune17.0ms (1.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1142116
Fresh000
Picked033
Done000
Total1145119
Accuracy
100.0%
Counts
119 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f64 x 1/116 4/29)
✓100.0%
(/.f64 (+.f64 x 16) 116)
✓100.0%
(-.f64 4/29 (/.f64 x -116))
▶48.7%
(*.f64 1/116 x)
51.6%
4/29
✓99.9%
(fma.f64 x 1/116 4/29)
✓100.0%
(/.f64 (+.f64 x 16) 116)
✓100.0%
(-.f64 4/29 (/.f64 x -116))
▶48.7%
(*.f64 1/116 x)
51.6%
4/29
Compiler

Compiled 46 to 38 computations (17.4% saved)

localize19.0ms (1.5%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓99.8%
(*.f64 1/116 x)
Compiler

Compiled 7 to 5 computations (28.6% saved)

series1.0ms (0.1%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 1/116 x)
0.0ms
x
@-inf
(*.f64 1/116 x)
0.0ms
x
@0
(*.f64 1/116 x)

rewrite95.0ms (7.1%)

Algorithm
1×batch-egg-rewrite
Rules
900×log1p-expm1-u
624×associate-*r*
576×expm1-udef
576×log1p-udef
574×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
14610
248410
3572010
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 1/116 x)
Outputs
(+.f64 (+.f64 (*.f64 1/116 x) 1) -1)
(+.f64 0 (*.f64 1/116 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/58))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) x))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) 1/232)) (log.f64 (pow.f64 (exp.f64 x) 1/232)))
(-.f64 (+.f64 (*.f64 1/116 x) 1) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 1/116 x) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 1/116 x) 1) (+.f64 (*.f64 1/116 x) 1)) (+.f64 1 (+.f64 (*.f64 1/116 x) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/116 x) 1) (+.f64 (*.f64 1/116 x) 1)) 1) (+.f64 (+.f64 (*.f64 1/116 x) 1) 1))
(pow.f64 (*.f64 1/116 x) 1)
(pow.f64 (cbrt.f64 (*.f64 1/116 x)) 3)
(pow.f64 (*.f64 (pow.f64 x 2) 1/13456) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1560896) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/116 x)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 1/116 x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 1/116 x)) 2))) (cbrt.f64 (log.f64 (*.f64 1/116 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/116 x)))) (sqrt.f64 (log.f64 (*.f64 1/116 x))))
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/13456))
(fabs.f64 (*.f64 1/116 x))
(log.f64 (pow.f64 (exp.f64 1/116) x))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1560896))
(expm1.f64 (log1p.f64 (*.f64 1/116 x)))
(exp.f64 (log.f64 (*.f64 1/116 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/116 x))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3) 1/1560896)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/116 x))) 2))
(log1p.f64 (expm1.f64 (*.f64 1/116 x)))

simplify38.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
612×times-frac
608×associate--l+
584×fma-neg
578×distribute-lft-out
504×associate-+l-
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
084425
1203421
2558414
32615410
Stop Event
1×node limit
Counts
25 → 31
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 1/116 x) 1) -1)
(+.f64 0 (*.f64 1/116 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/58))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) x))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) 1/232)) (log.f64 (pow.f64 (exp.f64 x) 1/232)))
(-.f64 (+.f64 (*.f64 1/116 x) 1) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 1/116 x) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 1/116 x) 1) (+.f64 (*.f64 1/116 x) 1)) (+.f64 1 (+.f64 (*.f64 1/116 x) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/116 x) 1) (+.f64 (*.f64 1/116 x) 1)) 1) (+.f64 (+.f64 (*.f64 1/116 x) 1) 1))
(pow.f64 (*.f64 1/116 x) 1)
(pow.f64 (cbrt.f64 (*.f64 1/116 x)) 3)
(pow.f64 (*.f64 (pow.f64 x 2) 1/13456) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1560896) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/116 x)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 1/116 x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 1/116 x)) 2))) (cbrt.f64 (log.f64 (*.f64 1/116 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/116 x)))) (sqrt.f64 (log.f64 (*.f64 1/116 x))))
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/13456))
(fabs.f64 (*.f64 1/116 x))
(log.f64 (pow.f64 (exp.f64 1/116) x))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1560896))
(expm1.f64 (log1p.f64 (*.f64 1/116 x)))
(exp.f64 (log.f64 (*.f64 1/116 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/116 x))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3) 1/1560896)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/116 x))) 2))
(log1p.f64 (expm1.f64 (*.f64 1/116 x)))
Outputs
(+.f64 (+.f64 (*.f64 1/116 x) 1) -1)
(*.f64 1/116 x)
(+.f64 0 (*.f64 1/116 x))
(*.f64 1/116 x)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/58))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) x))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) 1/232)) (log.f64 (pow.f64 (exp.f64 x) 1/232)))
(*.f64 1/116 x)
(-.f64 (+.f64 (*.f64 1/116 x) 1) 1)
(*.f64 1/116 x)
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 1/116 x) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 1/116 x) 1) (+.f64 (*.f64 1/116 x) 1)) (+.f64 1 (+.f64 (*.f64 1/116 x) 1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/116 x 1) 3) -1) (fma.f64 (fma.f64 1/116 x 1) (fma.f64 1/116 x 1) (+.f64 (*.f64 1/116 x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/116 x 1) 3)) (fma.f64 (fma.f64 1/116 x 1) (fma.f64 1/116 x 1) (fma.f64 1/116 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/116 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 1/116 x 1) (fma.f64 1/116 x 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/116 x 1) 3)) (fma.f64 (fma.f64 1/116 x 1) (fma.f64 1/116 x 2) 1))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/116 x) 1) (+.f64 (*.f64 1/116 x) 1)) 1) (+.f64 (+.f64 (*.f64 1/116 x) 1) 1))
(*.f64 1/116 x)
(pow.f64 (*.f64 1/116 x) 1)
(*.f64 1/116 x)
(pow.f64 (cbrt.f64 (*.f64 1/116 x)) 3)
(*.f64 1/116 x)
(pow.f64 (*.f64 (pow.f64 x 2) 1/13456) 1/2)
(*.f64 1/116 x)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1560896) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1560896))
(cbrt.f64 (*.f64 1/1560896 (pow.f64 x 3)))
(pow.f64 (sqrt.f64 (*.f64 1/116 x)) 2)
(*.f64 1/116 x)
(pow.f64 (E.f64) (log.f64 (*.f64 1/116 x)))
(*.f64 1/116 x)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 1/116 x)) 2))) (cbrt.f64 (log.f64 (*.f64 1/116 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/116 x)))) (sqrt.f64 (log.f64 (*.f64 1/116 x))))
(*.f64 1/116 x)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/13456))
(*.f64 1/116 x)
(fabs.f64 (*.f64 1/116 x))
(*.f64 1/116 x)
(log.f64 (pow.f64 (exp.f64 1/116) x))
(*.f64 1/116 x)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1560896))
(cbrt.f64 (*.f64 1/1560896 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 1/116 x)))
(*.f64 1/116 x)
(exp.f64 (log.f64 (*.f64 1/116 x)))
(*.f64 1/116 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/116 x))) 3))
(*.f64 1/116 x)
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3) 1/1560896)) 1/3))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1560896))
(cbrt.f64 (*.f64 1/1560896 (pow.f64 x 3)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/116 x))) 2))
(*.f64 1/116 x)
(log1p.f64 (expm1.f64 (*.f64 1/116 x)))
(*.f64 1/116 x)

eval8.0ms (0.6%)

Compiler

Compiled 311 to 259 computations (16.7% saved)

prune15.0ms (1.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New31031
Fresh011
Picked011
Done033
Total31536
Accuracy
100.0%
Counts
36 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f64 x 1/116 4/29)
✓100.0%
(/.f64 (+.f64 x 16) 116)
✓100.0%
(-.f64 4/29 (/.f64 x -116))
✓48.7%
(*.f64 1/116 x)
51.6%
4/29
✓99.9%
(fma.f64 x 1/116 4/29)
✓100.0%
(/.f64 (+.f64 x 16) 116)
✓100.0%
(-.f64 4/29 (/.f64 x -116))
✓48.7%
(*.f64 1/116 x)
51.6%
4/29
Compiler

Compiled 46 to 38 computations (17.4% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done044
Total055
Accuracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f64 x 1/116 4/29)
✓100.0%
(/.f64 (+.f64 x 16) 116)
✓100.0%
(-.f64 4/29 (/.f64 x -116))
✓48.7%
(*.f64 1/116 x)
51.6%
4/29
✓99.9%
(fma.f64 x 1/116 4/29)
✓100.0%
(/.f64 (+.f64 x 16) 116)
✓100.0%
(-.f64 4/29 (/.f64 x -116))
✓48.7%
(*.f64 1/116 x)
51.6%
4/29
Compiler

Compiled 46 to 38 computations (17.4% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done044
Total055
Accuracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f64 x 1/116 4/29)
✓100.0%
(/.f64 (+.f64 x 16) 116)
✓100.0%
(-.f64 4/29 (/.f64 x -116))
✓48.7%
(*.f64 1/116 x)
51.6%
4/29
Compiler

Compiled 42 to 34 computations (19% saved)

regimes12.0ms (0.9%)

Counts
5 → 1
Calls
Call 1
Inputs
4/29
(*.f64 1/116 x)
(-.f64 4/29 (/.f64 x -116))
(/.f64 (+.f64 x 16) 116)
(fma.f64 x 1/116 4/29)
Outputs
(/.f64 (+.f64 x 16) 116)
Calls

3 calls:

4.0ms
x
3.0ms
(/.f64 (+.f64 x 16) 116)
3.0ms
(+.f64 x 16)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (+.f64 x 16) 116)
100.0%1(+.f64 x 16)
Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes6.0ms (0.5%)

Counts
3 → 1
Calls
Call 1
Inputs
4/29
(*.f64 1/116 x)
(-.f64 4/29 (/.f64 x -116))
Outputs
(-.f64 4/29 (/.f64 x -116))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.7%)

Counts
2 → 3
Calls
Call 1
Inputs
4/29
(*.f64 1/116 x)
Outputs
(*.f64 1/116 x)
4/29
(*.f64 1/116 x)
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
96.9%3x
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes5.0ms (0.4%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
4/29
Outputs
4/29
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
51.6%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch30.0ms (2.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
7.490559066949314e-9
207363.4648549617
9.0ms
-19.269080253338128
-1.9712636273712318
Results
27.0ms256×body256valid
Compiler

Compiled 138 to 120 computations (13% saved)

simplify4.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
8×+-commutative
6×sub-neg
6×*-commutative
4×neg-mul-1
4×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02375
13375
24075
34475
44775
54875
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x 16) 116)
(-.f64 4/29 (/.f64 x -116))
(if (<=.f64 x -16) (*.f64 1/116 x) (if (<=.f64 x 16) 4/29 (*.f64 1/116 x)))
4/29
Outputs
(/.f64 (+.f64 x 16) 116)
(-.f64 4/29 (/.f64 x -116))
(if (<=.f64 x -16) (*.f64 1/116 x) (if (<=.f64 x 16) 4/29 (*.f64 1/116 x)))
(if (or (<=.f64 x -16) (not (<=.f64 x 16))) (*.f64 x 1/116) 4/29)
4/29
Compiler

Compiled 28 to 23 computations (17.9% saved)

soundness42.0ms (3.2%)

Rules
206×fma-def
76×distribute-rgt-in
46×distribute-lft-neg-in
44×div-sub
42×fma-neg
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01476
12468
24164
37864
416364
529860
644648
751348
853848
956848
1058448
1158748
Stop Event
1×saturated
Compiler

Compiled 64 to 51 computations (20.3% saved)

end0.0ms (0%)

preprocess36.0ms (2.7%)

Compiler

Compiled 62 to 50 computations (19.4% saved)

Profiling

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