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

Details

Time bar (total: 3.2s)

analyze1.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%199.9%-99.9%0%0%0%1
100%199.9%0%-99.9%0%0%0%2
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample1.2s (36.9%)

Results
1.1s8256×body256valid
Bogosity

preprocess16.0ms (0.5%)

Algorithm
2×egg-herbie
Rules
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
1813
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (+.f64 x 16) 116)
Outputs
(/.f64 (+.f64 x 16) 116)
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify11.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
1813
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (+.f64 x 16) 116)
Outputs
(/.f64 (+.f64 x 16) 116)

eval0.0ms (0%)

Compiler

Compiled 6 to 5 computations (16.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Accurracy
100.0%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (+.f64 x 16) 116)
▶100.0%
(/.f64 (+.f64 x 16) 116)
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize66.0ms (2.1%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(/.f64 (+.f64 x 16) 116)
Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite65.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
1586×pow1
1504×add-exp-log
1504×log1p-expm1-u
1504×expm1-log1p-u
1478×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
116113
2198413
Stop Event
1×node limit
Counts
1 → 23
Calls
Call 1
Inputs
(/.f64 (+.f64 x 16) 116)
Outputs
(-.f64 (+.f64 1 (*.f64 (+.f64 x 16) 1/116)) 1)
(*.f64 (+.f64 x 16) 1/116)
(*.f64 (*.f64 (+.f64 x 16) 1/116) 1)
(*.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 (+.f64 -16 (neg.f64 x)) -1/116)
(*.f64 1/116 (+.f64 x 16))
(pow.f64 (*.f64 (+.f64 x 16) 1/116) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 3)
(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)
(neg.f64 (/.f64 (+.f64 x 16) -116))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 2))
(log.f64 (exp.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)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 16) 1/116)))

simplify53.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1706×fma-def
1072×log-prod
1030×associate-*r*
912×associate-*l*
476×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061435
1135307
2487307
33768307
Stop Event
1×node limit
Counts
35 → 30
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))
(-.f64 (+.f64 1 (*.f64 (+.f64 x 16) 1/116)) 1)
(*.f64 (+.f64 x 16) 1/116)
(*.f64 (*.f64 (+.f64 x 16) 1/116) 1)
(*.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 (+.f64 -16 (neg.f64 x)) -1/116)
(*.f64 1/116 (+.f64 x 16))
(pow.f64 (*.f64 (+.f64 x 16) 1/116) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 3)
(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)
(neg.f64 (/.f64 (+.f64 x 16) -116))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 2))
(log.f64 (exp.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)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 16) 1/116)))
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)
(-.f64 (+.f64 1 (*.f64 (+.f64 x 16) 1/116)) 1)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (+.f64 x 16) 1/116)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (*.f64 (+.f64 x 16) 1/116) 1)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1 (*.f64 (+.f64 x 16) 1/116))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (*.f64 (cbrt.f64 (+.f64 x 16)) 1/116))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (sqrt.f64 (+.f64 x 16)) (*.f64 (sqrt.f64 (+.f64 x 16)) 1/116))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (+.f64 -16 (neg.f64 x)) -1/116)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 (+.f64 x 16))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (*.f64 (+.f64 x 16) 1/116) 1)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 3)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (/.f64 116 (+.f64 x 16)) -1)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(neg.f64 (/.f64 (+.f64 x 16) -116))
(/.f64 (neg.f64 (+.f64 x 16)) -116)
(/.f64 (-.f64 -16 x) -116)
(-.f64 4/29 (/.f64 x -116))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 2))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(log.f64 (exp.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(exp.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)

eval6.0ms (0.2%)

Compiler

Compiled 225 to 191 computations (15.1% saved)

prune16.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New26430
Fresh000
Picked011
Done000
Total26531
Accurracy
100.0%
Counts
31 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(fma.f64 1/116 x 4/29)
✓100.0%
(/.f64 (+.f64 x 16) 116)
▶100.0%
(-.f64 4/29 (/.f64 x -116))
▶48.2%
(*.f64 1/116 x)
53.5%
4/29
▶99.9%
(fma.f64 1/116 x 4/29)
✓100.0%
(/.f64 (+.f64 x 16) 116)
▶100.0%
(-.f64 4/29 (/.f64 x -116))
▶48.2%
(*.f64 1/116 x)
53.5%
4/29
Compiler

Compiled 46 to 38 computations (17.4% saved)

localize139.0ms (4.3%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓99.9%
(fma.f64 1/116 x 4/29)
✓100.0%
(-.f64 4/29 (/.f64 x -116))
✓99.8%
(*.f64 1/116 x)
Compiler

Compiled 25 to 18 computations (28% saved)

series2.0ms (0.1%)

Counts
3 → 24
Calls

9 calls:

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

rewrite114.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
1950×pow1
1832×add-exp-log
1832×log1p-expm1-u
1832×expm1-log1p-u
242×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01133
124125
2301525
Stop Event
1×node limit
Counts
3 → 94
Calls
Call 1
Inputs
(*.f64 1/116 x)
(-.f64 4/29 (/.f64 x -116))
(fma.f64 1/116 x 4/29)
Outputs
(-.f64 0 (*.f64 1/116 x))
(-.f64 (+.f64 1 (*.f64 1/116 x)) 1)
(/.f64 x -116)
(/.f64 1 (/.f64 -116 x))
(/.f64 1 (/.f64 (/.f64 -116 x) 1))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 -116 (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 -116 (sqrt.f64 x)))
(/.f64 (neg.f64 x) -116)
(/.f64 (neg.f64 x) 116)
(/.f64 -1 (/.f64 -116 x))
(/.f64 -1 (neg.f64 (/.f64 -116 x)))
(/.f64 (neg.f64 (neg.f64 x)) -116)
(/.f64 (neg.f64 (neg.f64 x)) 116)
(pow.f64 (*.f64 1/116 x) 1)
(pow.f64 (cbrt.f64 (*.f64 1/116 x)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) -1/1560896) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/116 x)) 2)
(pow.f64 (/.f64 -116 x) -1)
(neg.f64 (*.f64 1/116 x))
(neg.f64 (/.f64 x 116))
(sqrt.f64 (*.f64 1/13456 (*.f64 x 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 (*.f64 1/116 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 1/116 x)))
(+.f64 (*.f64 1/116 x) 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(*.f64 (fma.f64 1/116 x 4/29) 1)
(*.f64 1 (fma.f64 1/116 x 4/29))
(*.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2) (cbrt.f64 (fma.f64 1/116 x 4/29)))
(*.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) (sqrt.f64 (fma.f64 1/116 x 4/29)))
(*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 1/116 x) (fma.f64 1/116 x 4/29)))))
(*.f64 (+.f64 16/841 (*.f64 1/13456 (*.f64 x x))) (/.f64 1 (fma.f64 1/116 x 4/29)))
(/.f64 1 (/.f64 (+.f64 16/841 (*.f64 (*.f64 1/116 x) (fma.f64 1/116 x 4/29))) (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896))))
(/.f64 1 (/.f64 (fma.f64 1/116 x 4/29) (+.f64 16/841 (*.f64 1/13456 (*.f64 x x)))))
(/.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (+.f64 16/841 (*.f64 (*.f64 1/116 x) (fma.f64 1/116 x 4/29))))
(/.f64 (+.f64 16/841 (*.f64 1/13456 (*.f64 x x))) (fma.f64 1/116 x 4/29))
(/.f64 (neg.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896))) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 1/116 x) (fma.f64 1/116 x 4/29)))))
(/.f64 (neg.f64 (+.f64 16/841 (*.f64 1/13456 (*.f64 x x)))) (neg.f64 (fma.f64 1/116 x 4/29)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/1560896) 64/24389) (+.f64 (*.f64 1/13456 (*.f64 x x)) (-.f64 16/841 (/.f64 4/29 (/.f64 -116 x)))))
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (+.f64 16/841 (-.f64 (*.f64 1/13456 (*.f64 x x)) (/.f64 4/29 (/.f64 -116 x)))))
(/.f64 (-.f64 (*.f64 1/13456 (*.f64 x x)) 16/841) (-.f64 (*.f64 1/116 x) 4/29))
(pow.f64 (fma.f64 1/116 x 4/29) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 3)
(pow.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 2))
(log.f64 (exp.f64 (fma.f64 1/116 x 4/29)))
(cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/116 x 4/29)))
(exp.f64 (log.f64 (fma.f64 1/116 x 4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/116 x 4/29)) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/116 x 4/29)))
(fma.f64 1/116 x 4/29)
(fma.f64 x 1/116 4/29)
(fma.f64 1 (*.f64 1/116 x) 4/29)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/116 x)) 2) (cbrt.f64 (*.f64 1/116 x)) 4/29)
(fma.f64 (sqrt.f64 (*.f64 1/116 x)) (sqrt.f64 (*.f64 1/116 x)) 4/29)
(+.f64 (*.f64 1/116 x) 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(-.f64 4/29 (*.f64 1/116 x))
(-.f64 (+.f64 1 (fma.f64 1/116 x 4/29)) 1)
(-.f64 (/.f64 64/24389 (+.f64 16/841 (*.f64 (*.f64 1/116 x) (fma.f64 1/116 x 4/29)))) (/.f64 (*.f64 (pow.f64 x 3) -1/1560896) (+.f64 16/841 (*.f64 (*.f64 1/116 x) (fma.f64 1/116 x 4/29)))))
(-.f64 (/.f64 16/841 (fma.f64 1/116 x 4/29)) (/.f64 (*.f64 1/13456 (*.f64 x x)) (fma.f64 1/116 x 4/29)))
(*.f64 (fma.f64 1/116 x 4/29) 1)
(*.f64 1 (fma.f64 1/116 x 4/29))
(*.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2) (cbrt.f64 (fma.f64 1/116 x 4/29)))
(*.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) (sqrt.f64 (fma.f64 1/116 x 4/29)))
(*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 1/116 x) (fma.f64 1/116 x 4/29)))))
(*.f64 (+.f64 16/841 (*.f64 1/13456 (*.f64 x x))) (/.f64 1 (fma.f64 1/116 x 4/29)))
(/.f64 1 (/.f64 (+.f64 16/841 (*.f64 (*.f64 1/116 x) (fma.f64 1/116 x 4/29))) (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896))))
(/.f64 1 (/.f64 (fma.f64 1/116 x 4/29) (+.f64 16/841 (*.f64 1/13456 (*.f64 x x)))))
(/.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (+.f64 16/841 (*.f64 (*.f64 1/116 x) (fma.f64 1/116 x 4/29))))
(/.f64 (+.f64 16/841 (*.f64 1/13456 (*.f64 x x))) (fma.f64 1/116 x 4/29))
(/.f64 (neg.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896))) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 1/116 x) (fma.f64 1/116 x 4/29)))))
(/.f64 (neg.f64 (+.f64 16/841 (*.f64 1/13456 (*.f64 x x)))) (neg.f64 (fma.f64 1/116 x 4/29)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/1560896) 64/24389) (+.f64 (*.f64 1/13456 (*.f64 x x)) (-.f64 16/841 (/.f64 4/29 (/.f64 -116 x)))))
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (+.f64 16/841 (-.f64 (*.f64 1/13456 (*.f64 x x)) (/.f64 4/29 (/.f64 -116 x)))))
(/.f64 (-.f64 (*.f64 1/13456 (*.f64 x x)) 16/841) (-.f64 (*.f64 1/116 x) 4/29))
(pow.f64 (fma.f64 1/116 x 4/29) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 3)
(pow.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 2))
(log.f64 (exp.f64 (fma.f64 1/116 x 4/29)))
(cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/116 x 4/29)))
(exp.f64 (log.f64 (fma.f64 1/116 x 4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/116 x 4/29)) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/116 x 4/29)))

simplify72.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1612×times-frac
972×fma-neg
872×fma-def
608×associate-/r*
598×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01461920
13241742
212761616
370881616
Stop Event
1×node limit
Counts
118 → 88
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))
(-.f64 0 (*.f64 1/116 x))
(-.f64 (+.f64 1 (*.f64 1/116 x)) 1)
(/.f64 x -116)
(/.f64 1 (/.f64 -116 x))
(/.f64 1 (/.f64 (/.f64 -116 x) 1))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 -116 (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 -116 (sqrt.f64 x)))
(/.f64 (neg.f64 x) -116)
(/.f64 (neg.f64 x) 116)
(/.f64 -1 (/.f64 -116 x))
(/.f64 -1 (neg.f64 (/.f64 -116 x)))
(/.f64 (neg.f64 (neg.f64 x)) -116)
(/.f64 (neg.f64 (neg.f64 x)) 116)
(pow.f64 (*.f64 1/116 x) 1)
(pow.f64 (cbrt.f64 (*.f64 1/116 x)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) -1/1560896) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/116 x)) 2)
(pow.f64 (/.f64 -116 x) -1)
(neg.f64 (*.f64 1/116 x))
(neg.f64 (/.f64 x 116))
(sqrt.f64 (*.f64 1/13456 (*.f64 x 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 (*.f64 1/116 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 1/116 x)))
(+.f64 (*.f64 1/116 x) 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(*.f64 (fma.f64 1/116 x 4/29) 1)
(*.f64 1 (fma.f64 1/116 x 4/29))
(*.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2) (cbrt.f64 (fma.f64 1/116 x 4/29)))
(*.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) (sqrt.f64 (fma.f64 1/116 x 4/29)))
(*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 1/116 x) (fma.f64 1/116 x 4/29)))))
(*.f64 (+.f64 16/841 (*.f64 1/13456 (*.f64 x x))) (/.f64 1 (fma.f64 1/116 x 4/29)))
(/.f64 1 (/.f64 (+.f64 16/841 (*.f64 (*.f64 1/116 x) (fma.f64 1/116 x 4/29))) (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896))))
(/.f64 1 (/.f64 (fma.f64 1/116 x 4/29) (+.f64 16/841 (*.f64 1/13456 (*.f64 x x)))))
(/.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (+.f64 16/841 (*.f64 (*.f64 1/116 x) (fma.f64 1/116 x 4/29))))
(/.f64 (+.f64 16/841 (*.f64 1/13456 (*.f64 x x))) (fma.f64 1/116 x 4/29))
(/.f64 (neg.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896))) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 1/116 x) (fma.f64 1/116 x 4/29)))))
(/.f64 (neg.f64 (+.f64 16/841 (*.f64 1/13456 (*.f64 x x)))) (neg.f64 (fma.f64 1/116 x 4/29)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/1560896) 64/24389) (+.f64 (*.f64 1/13456 (*.f64 x x)) (-.f64 16/841 (/.f64 4/29 (/.f64 -116 x)))))
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (+.f64 16/841 (-.f64 (*.f64 1/13456 (*.f64 x x)) (/.f64 4/29 (/.f64 -116 x)))))
(/.f64 (-.f64 (*.f64 1/13456 (*.f64 x x)) 16/841) (-.f64 (*.f64 1/116 x) 4/29))
(pow.f64 (fma.f64 1/116 x 4/29) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 3)
(pow.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 2))
(log.f64 (exp.f64 (fma.f64 1/116 x 4/29)))
(cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/116 x 4/29)))
(exp.f64 (log.f64 (fma.f64 1/116 x 4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/116 x 4/29)) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/116 x 4/29)))
(fma.f64 1/116 x 4/29)
(fma.f64 x 1/116 4/29)
(fma.f64 1 (*.f64 1/116 x) 4/29)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/116 x)) 2) (cbrt.f64 (*.f64 1/116 x)) 4/29)
(fma.f64 (sqrt.f64 (*.f64 1/116 x)) (sqrt.f64 (*.f64 1/116 x)) 4/29)
(+.f64 (*.f64 1/116 x) 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(-.f64 4/29 (*.f64 1/116 x))
(-.f64 (+.f64 1 (fma.f64 1/116 x 4/29)) 1)
(-.f64 (/.f64 64/24389 (+.f64 16/841 (*.f64 (*.f64 1/116 x) (fma.f64 1/116 x 4/29)))) (/.f64 (*.f64 (pow.f64 x 3) -1/1560896) (+.f64 16/841 (*.f64 (*.f64 1/116 x) (fma.f64 1/116 x 4/29)))))
(-.f64 (/.f64 16/841 (fma.f64 1/116 x 4/29)) (/.f64 (*.f64 1/13456 (*.f64 x x)) (fma.f64 1/116 x 4/29)))
(*.f64 (fma.f64 1/116 x 4/29) 1)
(*.f64 1 (fma.f64 1/116 x 4/29))
(*.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2) (cbrt.f64 (fma.f64 1/116 x 4/29)))
(*.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) (sqrt.f64 (fma.f64 1/116 x 4/29)))
(*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 1/116 x) (fma.f64 1/116 x 4/29)))))
(*.f64 (+.f64 16/841 (*.f64 1/13456 (*.f64 x x))) (/.f64 1 (fma.f64 1/116 x 4/29)))
(/.f64 1 (/.f64 (+.f64 16/841 (*.f64 (*.f64 1/116 x) (fma.f64 1/116 x 4/29))) (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896))))
(/.f64 1 (/.f64 (fma.f64 1/116 x 4/29) (+.f64 16/841 (*.f64 1/13456 (*.f64 x x)))))
(/.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (+.f64 16/841 (*.f64 (*.f64 1/116 x) (fma.f64 1/116 x 4/29))))
(/.f64 (+.f64 16/841 (*.f64 1/13456 (*.f64 x x))) (fma.f64 1/116 x 4/29))
(/.f64 (neg.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896))) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 1/116 x) (fma.f64 1/116 x 4/29)))))
(/.f64 (neg.f64 (+.f64 16/841 (*.f64 1/13456 (*.f64 x x)))) (neg.f64 (fma.f64 1/116 x 4/29)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/1560896) 64/24389) (+.f64 (*.f64 1/13456 (*.f64 x x)) (-.f64 16/841 (/.f64 4/29 (/.f64 -116 x)))))
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (+.f64 16/841 (-.f64 (*.f64 1/13456 (*.f64 x x)) (/.f64 4/29 (/.f64 -116 x)))))
(/.f64 (-.f64 (*.f64 1/13456 (*.f64 x x)) 16/841) (-.f64 (*.f64 1/116 x) 4/29))
(pow.f64 (fma.f64 1/116 x 4/29) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 3)
(pow.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 2))
(log.f64 (exp.f64 (fma.f64 1/116 x 4/29)))
(cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/116 x 4/29)))
(exp.f64 (log.f64 (fma.f64 1/116 x 4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/116 x 4/29)) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/116 x 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)
(-.f64 0 (*.f64 1/116 x))
(*.f64 -1/116 x)
(*.f64 x -1/116)
(-.f64 (+.f64 1 (*.f64 1/116 x)) 1)
(*.f64 1/116 x)
(/.f64 x -116)
(*.f64 -1/116 x)
(*.f64 x -1/116)
(/.f64 1 (/.f64 -116 x))
(*.f64 -1/116 x)
(*.f64 x -1/116)
(/.f64 1 (/.f64 (/.f64 -116 x) 1))
(*.f64 -1/116 x)
(*.f64 x -1/116)
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 -116 (cbrt.f64 x)))
(*.f64 -1/116 x)
(*.f64 x -1/116)
(/.f64 (sqrt.f64 x) (/.f64 -116 (sqrt.f64 x)))
(*.f64 -1/116 x)
(*.f64 x -1/116)
(/.f64 (neg.f64 x) -116)
(*.f64 1/116 x)
(/.f64 (neg.f64 x) 116)
(*.f64 -1/116 x)
(*.f64 x -1/116)
(/.f64 -1 (/.f64 -116 x))
(*.f64 1/116 x)
(/.f64 -1 (neg.f64 (/.f64 -116 x)))
(*.f64 -1/116 x)
(*.f64 x -1/116)
(/.f64 (neg.f64 (neg.f64 x)) -116)
(*.f64 -1/116 x)
(*.f64 x -1/116)
(/.f64 (neg.f64 (neg.f64 x)) 116)
(*.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 3) -1/1560896) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) -1/1560896))
(pow.f64 (sqrt.f64 (*.f64 1/116 x)) 2)
(*.f64 1/116 x)
(pow.f64 (/.f64 -116 x) -1)
(*.f64 -1/116 x)
(*.f64 x -1/116)
(neg.f64 (*.f64 1/116 x))
(*.f64 -1/116 x)
(*.f64 x -1/116)
(neg.f64 (/.f64 x 116))
(*.f64 -1/116 x)
(*.f64 x -1/116)
(sqrt.f64 (*.f64 1/13456 (*.f64 x x)))
(sqrt.f64 (*.f64 x (*.f64 x 1/13456)))
(log.f64 (pow.f64 (exp.f64 1/116) x))
(*.f64 1/116 x)
(cbrt.f64 (*.f64 (pow.f64 x 3) -1/1560896))
(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 (*.f64 1/116 x)) 1))
(*.f64 1/116 x)
(log1p.f64 (expm1.f64 (*.f64 1/116 x)))
(*.f64 1/116 x)
(+.f64 (*.f64 1/116 x) 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (fma.f64 1/116 x 4/29) 1)
(fma.f64 1/116 x 4/29)
(*.f64 1 (fma.f64 1/116 x 4/29))
(fma.f64 1/116 x 4/29)
(*.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2))
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2) (cbrt.f64 (fma.f64 1/116 x 4/29)))
(fma.f64 1/116 x 4/29)
(*.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) (sqrt.f64 (fma.f64 1/116 x 4/29)))
(fma.f64 1/116 x 4/29)
(*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 1/116 x) (fma.f64 1/116 x 4/29)))))
(/.f64 (*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) 1) (+.f64 16/841 (*.f64 1/116 (*.f64 x (fma.f64 1/116 x 4/29)))))
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (fma.f64 1/116 (*.f64 x (fma.f64 1/116 x 4/29)) 16/841))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (fma.f64 x 1/13456 1/841) 16/841))
(*.f64 (+.f64 16/841 (*.f64 1/13456 (*.f64 x x))) (/.f64 1 (fma.f64 1/116 x 4/29)))
(*.f64 (+.f64 (*.f64 1/13456 (*.f64 x x)) 16/841) (/.f64 1 (fma.f64 1/116 x 4/29)))
(/.f64 (fma.f64 1/13456 (*.f64 x x) 16/841) (fma.f64 1/116 x 4/29))
(/.f64 (fma.f64 x (*.f64 x 1/13456) 16/841) (fma.f64 1/116 x 4/29))
(/.f64 1 (/.f64 (+.f64 16/841 (*.f64 (*.f64 1/116 x) (fma.f64 1/116 x 4/29))) (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896))))
(/.f64 (*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) 1) (+.f64 16/841 (*.f64 1/116 (*.f64 x (fma.f64 1/116 x 4/29)))))
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (fma.f64 1/116 (*.f64 x (fma.f64 1/116 x 4/29)) 16/841))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (fma.f64 x 1/13456 1/841) 16/841))
(/.f64 1 (/.f64 (fma.f64 1/116 x 4/29) (+.f64 16/841 (*.f64 1/13456 (*.f64 x x)))))
(*.f64 (+.f64 (*.f64 1/13456 (*.f64 x x)) 16/841) (/.f64 1 (fma.f64 1/116 x 4/29)))
(/.f64 (fma.f64 1/13456 (*.f64 x x) 16/841) (fma.f64 1/116 x 4/29))
(/.f64 (fma.f64 x (*.f64 x 1/13456) 16/841) (fma.f64 1/116 x 4/29))
(/.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (+.f64 16/841 (*.f64 (*.f64 1/116 x) (fma.f64 1/116 x 4/29))))
(/.f64 (*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) 1) (+.f64 16/841 (*.f64 1/116 (*.f64 x (fma.f64 1/116 x 4/29)))))
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (fma.f64 1/116 (*.f64 x (fma.f64 1/116 x 4/29)) 16/841))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (fma.f64 x 1/13456 1/841) 16/841))
(/.f64 (+.f64 16/841 (*.f64 1/13456 (*.f64 x x))) (fma.f64 1/116 x 4/29))
(*.f64 (+.f64 (*.f64 1/13456 (*.f64 x x)) 16/841) (/.f64 1 (fma.f64 1/116 x 4/29)))
(/.f64 (fma.f64 1/13456 (*.f64 x x) 16/841) (fma.f64 1/116 x 4/29))
(/.f64 (fma.f64 x (*.f64 x 1/13456) 16/841) (fma.f64 1/116 x 4/29))
(/.f64 (neg.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896))) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 1/116 x) (fma.f64 1/116 x 4/29)))))
(/.f64 (*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) 1) (+.f64 16/841 (*.f64 1/116 (*.f64 x (fma.f64 1/116 x 4/29)))))
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (fma.f64 1/116 (*.f64 x (fma.f64 1/116 x 4/29)) 16/841))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (fma.f64 x 1/13456 1/841) 16/841))
(/.f64 (neg.f64 (+.f64 16/841 (*.f64 1/13456 (*.f64 x x)))) (neg.f64 (fma.f64 1/116 x 4/29)))
(*.f64 (+.f64 (*.f64 1/13456 (*.f64 x x)) 16/841) (/.f64 1 (fma.f64 1/116 x 4/29)))
(/.f64 (fma.f64 1/13456 (*.f64 x x) 16/841) (fma.f64 1/116 x 4/29))
(/.f64 (fma.f64 x (*.f64 x 1/13456) 16/841) (fma.f64 1/116 x 4/29))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/1560896) 64/24389) (+.f64 (*.f64 1/13456 (*.f64 x x)) (-.f64 16/841 (/.f64 4/29 (/.f64 -116 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/1560896 64/24389) (fma.f64 1/13456 (*.f64 x x) (-.f64 16/841 (*.f64 -1/841 x))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/1560896 64/24389) (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 1/13456) -1/841))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/1560896 64/24389) (fma.f64 x (fma.f64 x 1/13456 1/841) 16/841))
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (+.f64 16/841 (-.f64 (*.f64 1/13456 (*.f64 x x)) (/.f64 4/29 (/.f64 -116 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/1560896 64/24389) (fma.f64 1/13456 (*.f64 x x) (-.f64 16/841 (*.f64 -1/841 x))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/1560896 64/24389) (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 1/13456) -1/841))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/1560896 64/24389) (fma.f64 x (fma.f64 x 1/13456 1/841) 16/841))
(/.f64 (-.f64 (*.f64 1/13456 (*.f64 x x)) 16/841) (-.f64 (*.f64 1/116 x) 4/29))
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (fma.f64 1/116 x -4/29))
(/.f64 (fma.f64 (*.f64 x 1/13456) x -16/841) (fma.f64 1/116 x -4/29))
(/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (fma.f64 1/116 x -4/29))
(pow.f64 (fma.f64 1/116 x 4/29) 1)
(fma.f64 1/116 x 4/29)
(pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 3)
(fma.f64 1/116 x 4/29)
(pow.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3) 1/3)
(fma.f64 1/116 x 4/29)
(pow.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) 2)
(fma.f64 1/116 x 4/29)
(sqrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 2))
(fma.f64 1/116 x 4/29)
(log.f64 (exp.f64 (fma.f64 1/116 x 4/29)))
(fma.f64 1/116 x 4/29)
(cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3))
(fma.f64 1/116 x 4/29)
(expm1.f64 (log1p.f64 (fma.f64 1/116 x 4/29)))
(fma.f64 1/116 x 4/29)
(exp.f64 (log.f64 (fma.f64 1/116 x 4/29)))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (fma.f64 1/116 x 4/29)) 1))
(fma.f64 1/116 x 4/29)
(log1p.f64 (expm1.f64 (fma.f64 1/116 x 4/29)))
(fma.f64 1/116 x 4/29)
(fma.f64 1/116 x 4/29)
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(fma.f64 1 (*.f64 1/116 x) 4/29)
(fma.f64 1/116 x 4/29)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/116 x)) 2) (cbrt.f64 (*.f64 1/116 x)) 4/29)
(fma.f64 1/116 x 4/29)
(fma.f64 (sqrt.f64 (*.f64 1/116 x)) (sqrt.f64 (*.f64 1/116 x)) 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 (*.f64 1/116 x) 4/29)
(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))
(+.f64 4/29 (*.f64 -1/116 x))
(+.f64 4/29 (*.f64 x -1/116))
(fma.f64 x -1/116 4/29)
(-.f64 (+.f64 1 (fma.f64 1/116 x 4/29)) 1)
(fma.f64 1/116 x 4/29)
(-.f64 (/.f64 64/24389 (+.f64 16/841 (*.f64 (*.f64 1/116 x) (fma.f64 1/116 x 4/29)))) (/.f64 (*.f64 (pow.f64 x 3) -1/1560896) (+.f64 16/841 (*.f64 (*.f64 1/116 x) (fma.f64 1/116 x 4/29)))))
(/.f64 (*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) 1) (+.f64 16/841 (*.f64 1/116 (*.f64 x (fma.f64 1/116 x 4/29)))))
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (fma.f64 1/116 (*.f64 x (fma.f64 1/116 x 4/29)) 16/841))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (fma.f64 x 1/13456 1/841) 16/841))
(-.f64 (/.f64 16/841 (fma.f64 1/116 x 4/29)) (/.f64 (*.f64 1/13456 (*.f64 x x)) (fma.f64 1/116 x 4/29)))
(-.f64 (/.f64 16/841 (fma.f64 1/116 x 4/29)) (/.f64 1/13456 (/.f64 (fma.f64 1/116 x 4/29) (*.f64 x x))))
(+.f64 (/.f64 16/841 (fma.f64 1/116 x 4/29)) (/.f64 (*.f64 (*.f64 x x) -1/13456) (fma.f64 1/116 x 4/29)))
(+.f64 (/.f64 16/841 (fma.f64 1/116 x 4/29)) (*.f64 (*.f64 x -1/13456) (/.f64 x (fma.f64 1/116 x 4/29))))
(*.f64 (fma.f64 1/116 x 4/29) 1)
(fma.f64 1/116 x 4/29)
(*.f64 1 (fma.f64 1/116 x 4/29))
(fma.f64 1/116 x 4/29)
(*.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2))
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2) (cbrt.f64 (fma.f64 1/116 x 4/29)))
(fma.f64 1/116 x 4/29)
(*.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) (sqrt.f64 (fma.f64 1/116 x 4/29)))
(fma.f64 1/116 x 4/29)
(*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 1/116 x) (fma.f64 1/116 x 4/29)))))
(/.f64 (*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) 1) (+.f64 16/841 (*.f64 1/116 (*.f64 x (fma.f64 1/116 x 4/29)))))
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (fma.f64 1/116 (*.f64 x (fma.f64 1/116 x 4/29)) 16/841))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (fma.f64 x 1/13456 1/841) 16/841))
(*.f64 (+.f64 16/841 (*.f64 1/13456 (*.f64 x x))) (/.f64 1 (fma.f64 1/116 x 4/29)))
(*.f64 (+.f64 (*.f64 1/13456 (*.f64 x x)) 16/841) (/.f64 1 (fma.f64 1/116 x 4/29)))
(/.f64 (fma.f64 1/13456 (*.f64 x x) 16/841) (fma.f64 1/116 x 4/29))
(/.f64 (fma.f64 x (*.f64 x 1/13456) 16/841) (fma.f64 1/116 x 4/29))
(/.f64 1 (/.f64 (+.f64 16/841 (*.f64 (*.f64 1/116 x) (fma.f64 1/116 x 4/29))) (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896))))
(/.f64 (*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) 1) (+.f64 16/841 (*.f64 1/116 (*.f64 x (fma.f64 1/116 x 4/29)))))
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (fma.f64 1/116 (*.f64 x (fma.f64 1/116 x 4/29)) 16/841))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (fma.f64 x 1/13456 1/841) 16/841))
(/.f64 1 (/.f64 (fma.f64 1/116 x 4/29) (+.f64 16/841 (*.f64 1/13456 (*.f64 x x)))))
(*.f64 (+.f64 (*.f64 1/13456 (*.f64 x x)) 16/841) (/.f64 1 (fma.f64 1/116 x 4/29)))
(/.f64 (fma.f64 1/13456 (*.f64 x x) 16/841) (fma.f64 1/116 x 4/29))
(/.f64 (fma.f64 x (*.f64 x 1/13456) 16/841) (fma.f64 1/116 x 4/29))
(/.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (+.f64 16/841 (*.f64 (*.f64 1/116 x) (fma.f64 1/116 x 4/29))))
(/.f64 (*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) 1) (+.f64 16/841 (*.f64 1/116 (*.f64 x (fma.f64 1/116 x 4/29)))))
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (fma.f64 1/116 (*.f64 x (fma.f64 1/116 x 4/29)) 16/841))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (fma.f64 x 1/13456 1/841) 16/841))
(/.f64 (+.f64 16/841 (*.f64 1/13456 (*.f64 x x))) (fma.f64 1/116 x 4/29))
(*.f64 (+.f64 (*.f64 1/13456 (*.f64 x x)) 16/841) (/.f64 1 (fma.f64 1/116 x 4/29)))
(/.f64 (fma.f64 1/13456 (*.f64 x x) 16/841) (fma.f64 1/116 x 4/29))
(/.f64 (fma.f64 x (*.f64 x 1/13456) 16/841) (fma.f64 1/116 x 4/29))
(/.f64 (neg.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896))) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 1/116 x) (fma.f64 1/116 x 4/29)))))
(/.f64 (*.f64 (-.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) 1) (+.f64 16/841 (*.f64 1/116 (*.f64 x (fma.f64 1/116 x 4/29)))))
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) 1/1560896)) (fma.f64 1/116 (*.f64 x (fma.f64 1/116 x 4/29)) 16/841))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (fma.f64 x 1/13456 1/841) 16/841))
(/.f64 (neg.f64 (+.f64 16/841 (*.f64 1/13456 (*.f64 x x)))) (neg.f64 (fma.f64 1/116 x 4/29)))
(*.f64 (+.f64 (*.f64 1/13456 (*.f64 x x)) 16/841) (/.f64 1 (fma.f64 1/116 x 4/29)))
(/.f64 (fma.f64 1/13456 (*.f64 x x) 16/841) (fma.f64 1/116 x 4/29))
(/.f64 (fma.f64 x (*.f64 x 1/13456) 16/841) (fma.f64 1/116 x 4/29))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/1560896) 64/24389) (+.f64 (*.f64 1/13456 (*.f64 x x)) (-.f64 16/841 (/.f64 4/29 (/.f64 -116 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/1560896 64/24389) (fma.f64 1/13456 (*.f64 x x) (-.f64 16/841 (*.f64 -1/841 x))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/1560896 64/24389) (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 1/13456) -1/841))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/1560896 64/24389) (fma.f64 x (fma.f64 x 1/13456 1/841) 16/841))
(/.f64 (+.f64 64/24389 (*.f64 (pow.f64 x 3) -1/1560896)) (+.f64 16/841 (-.f64 (*.f64 1/13456 (*.f64 x x)) (/.f64 4/29 (/.f64 -116 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/1560896 64/24389) (fma.f64 1/13456 (*.f64 x x) (-.f64 16/841 (*.f64 -1/841 x))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/1560896 64/24389) (+.f64 16/841 (*.f64 x (-.f64 (*.f64 x 1/13456) -1/841))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/1560896 64/24389) (fma.f64 x (fma.f64 x 1/13456 1/841) 16/841))
(/.f64 (-.f64 (*.f64 1/13456 (*.f64 x x)) 16/841) (-.f64 (*.f64 1/116 x) 4/29))
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (fma.f64 1/116 x -4/29))
(/.f64 (fma.f64 (*.f64 x 1/13456) x -16/841) (fma.f64 1/116 x -4/29))
(/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (fma.f64 1/116 x -4/29))
(pow.f64 (fma.f64 1/116 x 4/29) 1)
(fma.f64 1/116 x 4/29)
(pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 3)
(fma.f64 1/116 x 4/29)
(pow.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3) 1/3)
(fma.f64 1/116 x 4/29)
(pow.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) 2)
(fma.f64 1/116 x 4/29)
(sqrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 2))
(fma.f64 1/116 x 4/29)
(log.f64 (exp.f64 (fma.f64 1/116 x 4/29)))
(fma.f64 1/116 x 4/29)
(cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3))
(fma.f64 1/116 x 4/29)
(expm1.f64 (log1p.f64 (fma.f64 1/116 x 4/29)))
(fma.f64 1/116 x 4/29)
(exp.f64 (log.f64 (fma.f64 1/116 x 4/29)))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (fma.f64 1/116 x 4/29)) 1))
(fma.f64 1/116 x 4/29)
(log1p.f64 (expm1.f64 (fma.f64 1/116 x 4/29)))
(fma.f64 1/116 x 4/29)

eval33.0ms (1%)

Compiler

Compiled 812 to 631 computations (22.3% saved)

prune15.0ms (0.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New86288
Fresh011
Picked123
Done011
Total87693
Accurracy
100.0%
Counts
93 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x 16) 116)
▶48.3%
(/.f64 (neg.f64 x) -116)
▶48.1%
(/.f64 -1 (/.f64 -116 x))
✓100.0%
(-.f64 4/29 (/.f64 x -116))
✓48.2%
(*.f64 1/116 x)
53.5%
4/29
✓100.0%
(/.f64 (+.f64 x 16) 116)
▶48.3%
(/.f64 (neg.f64 x) -116)
▶48.1%
(/.f64 -1 (/.f64 -116 x))
✓100.0%
(-.f64 4/29 (/.f64 x -116))
✓48.2%
(*.f64 1/116 x)
53.5%
4/29
Compiler

Compiled 58 to 48 computations (17.2% saved)

localize108.0ms (3.4%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓99.5%
(/.f64 -1 (/.f64 -116 x))
Compiler

Compiled 21 to 14 computations (33.3% saved)

series5.0ms (0.2%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@0
(/.f64 -1 (/.f64 -116 x))
0.0ms
x
@inf
(/.f64 -1 (/.f64 -116 x))
0.0ms
x
@-inf
(/.f64 -1 (/.f64 -116 x))

rewrite60.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
1344×pow1
1252×add-exp-log
1252×log1p-expm1-u
1252×expm1-log1p-u
1224×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11547
218027
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(/.f64 -1 (/.f64 -116 x))
Outputs
(-.f64 (+.f64 1 (*.f64 x 1/116)) 1)
(*.f64 -1 (*.f64 x -1/116))
(*.f64 x 1/116)
(*.f64 (*.f64 x 1/116) 1)
(*.f64 1 (*.f64 x 1/116))
(*.f64 (cbrt.f64 (*.f64 x 1/116)) (cbrt.f64 (pow.f64 (*.f64 x 1/116) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x 1/116) 2)) (cbrt.f64 (*.f64 x 1/116)))
(*.f64 (sqrt.f64 (*.f64 x 1/116)) (sqrt.f64 (*.f64 x 1/116)))
(*.f64 (*.f64 x -1/116) -1)
(*.f64 1/116 x)
(*.f64 -1/116 (neg.f64 x))
(*.f64 (*.f64 1/116 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 1/116 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 x 1/116) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/116)) 3)
(pow.f64 (pow.f64 (*.f64 x 1/116) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/116)) 2)
(pow.f64 (/.f64 116 x) -1)
(neg.f64 (*.f64 x -1/116))
(sqrt.f64 (pow.f64 (*.f64 x 1/116) 2))
(log.f64 (pow.f64 (exp.f64 1/116) x))
(cbrt.f64 (pow.f64 (*.f64 x 1/116) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/116)))
(exp.f64 (log.f64 (*.f64 x 1/116)))
(log1p.f64 (expm1.f64 (*.f64 x 1/116)))

simplify72.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1476×log-prod
1078×exp-sum
962×fma-def
876×fma-neg
762×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056259
1125259
2476259
31953259
46410259
Stop Event
1×node limit
Counts
37 → 25
Calls
Call 1
Inputs
(*.f64 1/116 x)
(*.f64 1/116 x)
(*.f64 1/116 x)
(*.f64 1/116 x)
(*.f64 1/116 x)
(*.f64 1/116 x)
(*.f64 1/116 x)
(*.f64 1/116 x)
(*.f64 1/116 x)
(*.f64 1/116 x)
(*.f64 1/116 x)
(*.f64 1/116 x)
(-.f64 (+.f64 1 (*.f64 x 1/116)) 1)
(*.f64 -1 (*.f64 x -1/116))
(*.f64 x 1/116)
(*.f64 (*.f64 x 1/116) 1)
(*.f64 1 (*.f64 x 1/116))
(*.f64 (cbrt.f64 (*.f64 x 1/116)) (cbrt.f64 (pow.f64 (*.f64 x 1/116) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x 1/116) 2)) (cbrt.f64 (*.f64 x 1/116)))
(*.f64 (sqrt.f64 (*.f64 x 1/116)) (sqrt.f64 (*.f64 x 1/116)))
(*.f64 (*.f64 x -1/116) -1)
(*.f64 1/116 x)
(*.f64 -1/116 (neg.f64 x))
(*.f64 (*.f64 1/116 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 1/116 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 x 1/116) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/116)) 3)
(pow.f64 (pow.f64 (*.f64 x 1/116) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/116)) 2)
(pow.f64 (/.f64 116 x) -1)
(neg.f64 (*.f64 x -1/116))
(sqrt.f64 (pow.f64 (*.f64 x 1/116) 2))
(log.f64 (pow.f64 (exp.f64 1/116) x))
(cbrt.f64 (pow.f64 (*.f64 x 1/116) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/116)))
(exp.f64 (log.f64 (*.f64 x 1/116)))
(log1p.f64 (expm1.f64 (*.f64 x 1/116)))
Outputs
(*.f64 1/116 x)
(*.f64 1/116 x)
(*.f64 1/116 x)
(*.f64 1/116 x)
(*.f64 1/116 x)
(*.f64 1/116 x)
(*.f64 1/116 x)
(*.f64 1/116 x)
(*.f64 1/116 x)
(*.f64 1/116 x)
(*.f64 1/116 x)
(*.f64 1/116 x)
(-.f64 (+.f64 1 (*.f64 x 1/116)) 1)
(*.f64 1/116 x)
(*.f64 -1 (*.f64 x -1/116))
(*.f64 1/116 x)
(*.f64 x 1/116)
(*.f64 1/116 x)
(*.f64 (*.f64 x 1/116) 1)
(*.f64 1/116 x)
(*.f64 1 (*.f64 x 1/116))
(*.f64 1/116 x)
(*.f64 (cbrt.f64 (*.f64 x 1/116)) (cbrt.f64 (pow.f64 (*.f64 x 1/116) 2)))
(*.f64 1/116 x)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x 1/116) 2)) (cbrt.f64 (*.f64 x 1/116)))
(*.f64 1/116 x)
(*.f64 (sqrt.f64 (*.f64 x 1/116)) (sqrt.f64 (*.f64 x 1/116)))
(*.f64 1/116 x)
(*.f64 (*.f64 x -1/116) -1)
(*.f64 1/116 x)
(*.f64 1/116 x)
(*.f64 -1/116 (neg.f64 x))
(*.f64 1/116 x)
(*.f64 (*.f64 1/116 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 1/116 x)
(*.f64 (*.f64 1/116 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 1/116 x)
(pow.f64 (*.f64 x 1/116) 1)
(*.f64 1/116 x)
(pow.f64 (cbrt.f64 (*.f64 x 1/116)) 3)
(*.f64 1/116 x)
(pow.f64 (pow.f64 (*.f64 x 1/116) 3) 1/3)
(*.f64 1/116 x)
(pow.f64 (sqrt.f64 (*.f64 x 1/116)) 2)
(*.f64 1/116 x)
(pow.f64 (/.f64 116 x) -1)
(*.f64 1/116 x)
(neg.f64 (*.f64 x -1/116))
(*.f64 1/116 x)
(sqrt.f64 (pow.f64 (*.f64 x 1/116) 2))
(*.f64 1/116 x)
(log.f64 (pow.f64 (exp.f64 1/116) x))
(*.f64 1/116 x)
(cbrt.f64 (pow.f64 (*.f64 x 1/116) 3))
(*.f64 1/116 x)
(expm1.f64 (log1p.f64 (*.f64 x 1/116)))
(*.f64 1/116 x)
(exp.f64 (log.f64 (*.f64 x 1/116)))
(*.f64 1/116 x)
(log1p.f64 (expm1.f64 (*.f64 x 1/116)))
(*.f64 1/116 x)

eval5.0ms (0.1%)

Compiler

Compiled 150 to 118 computations (21.3% saved)

prune8.0ms (0.3%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New25025
Fresh011
Picked022
Done033
Total25631
Accurracy
100.0%
Counts
31 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x 16) 116)
✓48.3%
(/.f64 (neg.f64 x) -116)
✓48.1%
(/.f64 -1 (/.f64 -116 x))
✓100.0%
(-.f64 4/29 (/.f64 x -116))
✓48.2%
(*.f64 1/116 x)
53.5%
4/29
✓100.0%
(/.f64 (+.f64 x 16) 116)
✓48.3%
(/.f64 (neg.f64 x) -116)
✓48.1%
(/.f64 -1 (/.f64 -116 x))
✓100.0%
(-.f64 4/29 (/.f64 x -116))
✓48.2%
(*.f64 1/116 x)
53.5%
4/29
Compiler

Compiled 58 to 48 computations (17.2% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done055
Total066
Accurracy
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x 16) 116)
✓48.3%
(/.f64 (neg.f64 x) -116)
✓48.1%
(/.f64 -1 (/.f64 -116 x))
✓100.0%
(-.f64 4/29 (/.f64 x -116))
✓48.2%
(*.f64 1/116 x)
53.5%
4/29
Compiler

Compiled 57 to 46 computations (19.3% saved)

regimes16.0ms (0.5%)

Counts
7 → 1
Calls
Call 1
Inputs
4/29
(*.f64 1/116 x)
(/.f64 (neg.f64 x) -116)
(-.f64 4/29 (/.f64 x -116))
(/.f64 -1 (/.f64 -116 x))
(/.f64 (+.f64 x 16) 116)
(fma.f64 1/116 x 4/29)
Outputs
(/.f64 (+.f64 x 16) 116)
Calls

3 calls:

7.0ms
x
4.0ms
(+.f64 x 16)
4.0ms
(/.f64 (+.f64 x 16) 116)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (+.f64 x 16) 116)
100.0%1(+.f64 x 16)
Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes6.0ms (0.2%)

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

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
Compiler

Compiled 21 to 16 computations (23.8% saved)

regimes19.0ms (0.6%)

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

1 calls:

18.0ms
x
Results
AccuracySegmentsBranch
98.4%3x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes10.0ms (0.3%)

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:

9.0ms
x
Results
AccuracySegmentsBranch
98.4%3x
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes6.0ms (0.2%)

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:

5.0ms
x
Results
AccuracySegmentsBranch
53.5%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch40.0ms (1.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
0.00011992189737129346
14901428.197146177
17.0ms
-38.360841678636874
-4.295529291845033e-15
Results
36.0ms320×body256valid
Compiler

Compiled 190 to 168 computations (11.6% saved)

bsearch724.0ms (22.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
385.0ms
0.00011992189737129346
14901428.197146177
338.0ms
-38.360841678636874
-4.295529291845033e-15
Results
399.0ms320×body256valid
Compiler

Compiled 170 to 148 computations (12.9% saved)

simplify7.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
8×+-commutative
6×sub-neg
6×*-commutative
4×neg-mul-1
4×if-if-or-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02697
14197
24697
34997
45097
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 (neg.f64 x) -116) (if (<=.f64 x 16) 4/29 (/.f64 (neg.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 (neg.f64 x) -116) (if (<=.f64 x 16) 4/29 (/.f64 (neg.f64 x) -116)))
(if (or (<=.f64 x -16) (not (<=.f64 x 16))) (/.f64 (neg.f64 x) -116) 4/29)
(if (<=.f64 x -16) (*.f64 1/116 x) (if (<=.f64 x 16) 4/29 (*.f64 1/116 x)))
(if (<=.f64 x -16) (*.f64 x 1/116) (if (<=.f64 x 16) 4/29 (*.f64 x 1/116)))
4/29
Compiler

Compiled 45 to 36 computations (20% saved)

soundness242.0ms (7.5%)

Rules
1950×pow1
1832×add-exp-log
1832×log1p-expm1-u
1832×expm1-log1p-u
1706×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01133
124125
2301525
0713
116113
2198413
061435
1135307
2487307
33768307
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 106 to 85 computations (19.8% saved)

end84.0ms (2.6%)

Compiler

Compiled 94 to 74 computations (21.3% saved)

Profiling

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