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

Time bar (total: 1.9s)

analyze0.0ms (0%)

Algorithm
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)

sample1.1s (56%)

Results
1.1s8256×256valid
Bogosity

preprocess113.0ms (5.9%)

Algorithm
egg-herbie
Rules
206×fma-def
76×distribute-rgt-in
46×distribute-lft-neg-in
44×div-sub
42×fma-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-116
00-0-(/.f64 (+.f64 x 16) 116)
00-0-(+.f64 x 16)
00-0-16
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01476
12468
24164
37864
416664
530160
644948
751648
854148
957148
1058748
1159048
Stop Event
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 4/29 (*.f64 -1/116 x))
(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 32 to 25 computations (21.9% saved)

eval1.0ms (0%)

Compiler

Compiled 15 to 12 computations (20% saved)

prune1.0ms (0.1%)

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)
Compiler

Compiled 11 to 9 computations (18.2% saved)

localize63.0ms (3.3%)

Localize:

Found 2 expressions with local error:

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

Compiled 20 to 15 computations (25% saved)

series2.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite189.0ms (9.8%)

Algorithm
batch-egg-rewrite
Rules
646×unpow-prod-down
528×log1p-expm1-u
528×expm1-log1p-u
501×add-exp-log
476×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01328
111228
2140528
Stop Event
node limit
Counts
2 → 89
Calls
Call 1
Inputs
(/.f64 (+.f64 x 16) 116)
(fma.f64 x 1/116 4/29)
Outputs
(+.f64 0 (*.f64 (+.f64 x 16) 1/116))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) (+.f64 x 16))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) (+.f64 x 16)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/116) (+.f64 x 16)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/116) (+.f64 x 16)))))
(-.f64 (+.f64 1 (*.f64 (+.f64 x 16) 1/116)) 1)
(*.f64 (+.f64 x 16) 1/116)
(*.f64 (+.f64 x 16) (pow.f64 (cbrt.f64 1/116) 3))
(*.f64 (+.f64 x 16) (pow.f64 (sqrt.f64 1/116) 2))
(*.f64 (+.f64 x 16) (exp.f64 (log.f64 1/116)))
(*.f64 (*.f64 (+.f64 x 16) 1/116) 1)
(*.f64 (*.f64 (+.f64 x 16) 1/116) (log.f64 (E.f64)))
(*.f64 1/116 (+.f64 x 16))
(*.f64 1/116 (pow.f64 (/.f64 1 (+.f64 x 16)) -1))
(*.f64 1 (*.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 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (*.f64 (cbrt.f64 (+.f64 x 16)) 1/116))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(*.f64 (sqrt.f64 (+.f64 x 16)) (*.f64 (sqrt.f64 (+.f64 x 16)) 1/116))
(*.f64 (neg.f64 (+.f64 x 16)) -1/116)
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 x 16) 1/116))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2) 3) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 3) 1/1560896)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 3) 1/1560896)) 1/3))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456) (+.f64 x 16)) 1/3) (cbrt.f64 1/116))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x 16) 1/116) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) 2) -1) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(*.f64 (pow.f64 (/.f64 116 (+.f64 (pow.f64 x 3) 4096)) -1) (/.f64 1 (-.f64 (fma.f64 x x 256) (*.f64 x 16))))
(*.f64 (pow.f64 (/.f64 116 (fma.f64 x x -256)) -1) (/.f64 1 (+.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 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456) 1/2)
(pow.f64 (*.f64 (pow.f64 (+.f64 x 16) 3) 1/1560896) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)
(pow.f64 (/.f64 116 (+.f64 x 16)) -1)
(pow.f64 (E.f64) (log.f64 (*.f64 (+.f64 x 16) 1/116)))
(pow.f64 (/.f64 (/.f64 116 (+.f64 x 16)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)))) (sqrt.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116))))
(neg.f64 (/.f64 (+.f64 x 16) -116))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456))
(log.f64 (pow.f64 (exp.f64 1/116) (+.f64 x 16)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 3) 1/1560896))
(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 (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 (*.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 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29))) 2)) (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 (+.f64 1 (fma.f64 x 1/116 4/29)) 1)
(*.f64 (fma.f64 x 1/116 4/29) 1)
(*.f64 (fma.f64 x 1/116 4/29) (log.f64 (E.f64)))
(*.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 (pow.f64 1 1/3) (fma.f64 x 1/116 4/29))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) 2) 3) (cbrt.f64 (fma.f64 x 1/116 4/29)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x 1/116 4/29) (cbrt.f64 (fma.f64 x 1/116 4/29))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x 1/116 4/29))))
(/.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 (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 (E.f64) (log.f64 (fma.f64 x 1/116 4/29)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/116 4/29))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 1/116 4/29))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/116 4/29)))) (sqrt.f64 (log.f64 (fma.f64 x 1/116 4/29))))
(sqrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 2))
(log.f64 (exp.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 (cbrt.f64 (fma.f64 x 1/116 4/29))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x 1/116 4/29))) 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)))

simplify82.0ms (4.3%)

Algorithm
egg-herbie
Rules
972×fma-def
900×log-prod
720×distribute-lft-in
668×distribute-rgt-in
660×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02582030
16151891
214731863
357831863
Stop Event
node limit
Counts
113 → 121
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 (+.f64 x 16) 1/116))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) (+.f64 x 16))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) (+.f64 x 16)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/116) (+.f64 x 16)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/116) (+.f64 x 16)))))
(-.f64 (+.f64 1 (*.f64 (+.f64 x 16) 1/116)) 1)
(*.f64 (+.f64 x 16) 1/116)
(*.f64 (+.f64 x 16) (pow.f64 (cbrt.f64 1/116) 3))
(*.f64 (+.f64 x 16) (pow.f64 (sqrt.f64 1/116) 2))
(*.f64 (+.f64 x 16) (exp.f64 (log.f64 1/116)))
(*.f64 (*.f64 (+.f64 x 16) 1/116) 1)
(*.f64 (*.f64 (+.f64 x 16) 1/116) (log.f64 (E.f64)))
(*.f64 1/116 (+.f64 x 16))
(*.f64 1/116 (pow.f64 (/.f64 1 (+.f64 x 16)) -1))
(*.f64 1 (*.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 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (*.f64 (cbrt.f64 (+.f64 x 16)) 1/116))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(*.f64 (sqrt.f64 (+.f64 x 16)) (*.f64 (sqrt.f64 (+.f64 x 16)) 1/116))
(*.f64 (neg.f64 (+.f64 x 16)) -1/116)
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 x 16) 1/116))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2) 3) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 3) 1/1560896)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 3) 1/1560896)) 1/3))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456) (+.f64 x 16)) 1/3) (cbrt.f64 1/116))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x 16) 1/116) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) 2) -1) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(*.f64 (pow.f64 (/.f64 116 (+.f64 (pow.f64 x 3) 4096)) -1) (/.f64 1 (-.f64 (fma.f64 x x 256) (*.f64 x 16))))
(*.f64 (pow.f64 (/.f64 116 (fma.f64 x x -256)) -1) (/.f64 1 (+.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 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456) 1/2)
(pow.f64 (*.f64 (pow.f64 (+.f64 x 16) 3) 1/1560896) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)
(pow.f64 (/.f64 116 (+.f64 x 16)) -1)
(pow.f64 (E.f64) (log.f64 (*.f64 (+.f64 x 16) 1/116)))
(pow.f64 (/.f64 (/.f64 116 (+.f64 x 16)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)))) (sqrt.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116))))
(neg.f64 (/.f64 (+.f64 x 16) -116))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456))
(log.f64 (pow.f64 (exp.f64 1/116) (+.f64 x 16)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 3) 1/1560896))
(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 (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 (*.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 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29))) 2)) (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 (+.f64 1 (fma.f64 x 1/116 4/29)) 1)
(*.f64 (fma.f64 x 1/116 4/29) 1)
(*.f64 (fma.f64 x 1/116 4/29) (log.f64 (E.f64)))
(*.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 (pow.f64 1 1/3) (fma.f64 x 1/116 4/29))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) 2) 3) (cbrt.f64 (fma.f64 x 1/116 4/29)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x 1/116 4/29) (cbrt.f64 (fma.f64 x 1/116 4/29))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x 1/116 4/29))))
(/.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 (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 (E.f64) (log.f64 (fma.f64 x 1/116 4/29)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/116 4/29))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 1/116 4/29))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/116 4/29)))) (sqrt.f64 (log.f64 (fma.f64 x 1/116 4/29))))
(sqrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 2))
(log.f64 (exp.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 (cbrt.f64 (fma.f64 x 1/116 4/29))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x 1/116 4/29))) 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 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
4/29
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 0 (*.f64 (+.f64 x 16) 1/116))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) (+.f64 x 16))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) (+.f64 x 16)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) (+.f64 x 16))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) (+.f64 x 16)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/116 x 4/29)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/116) (+.f64 x 16)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/116) (+.f64 x 16)))))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(-.f64 (+.f64 1 (*.f64 (+.f64 x 16) 1/116)) 1)
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 (+.f64 x 16) 1/116)
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 (+.f64 x 16) (pow.f64 (cbrt.f64 1/116) 3))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 (+.f64 x 16) (pow.f64 (sqrt.f64 1/116) 2))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 (+.f64 x 16) (exp.f64 (log.f64 1/116)))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 (*.f64 (+.f64 x 16) 1/116) 1)
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 (*.f64 (+.f64 x 16) 1/116) (log.f64 (E.f64)))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 1/116 (+.f64 x 16))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 1/116 (pow.f64 (/.f64 1 (+.f64 x 16)) -1))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 1 (*.f64 (+.f64 x 16) 1/116))
(fma.f64 x 1/116 4/29)
(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))
(fma.f64 x 1/116 4/29)
(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)))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (*.f64 (cbrt.f64 (+.f64 x 16)) 1/116))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 (sqrt.f64 (+.f64 x 16)) (*.f64 (sqrt.f64 (+.f64 x 16)) 1/116))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 (neg.f64 (+.f64 x 16)) -1/116)
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 x 16) 1/116))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2) 3) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 3) 1/1560896)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 3) 1/1560896)) 1/3))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456) (+.f64 x 16)) 1/3) (cbrt.f64 1/116))
(*.f64 (cbrt.f64 1/116) (cbrt.f64 (*.f64 (+.f64 x 16) (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456))))
(*.f64 (cbrt.f64 1/116) (cbrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 3) 1/13456)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x 16) 1/116) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) (cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) (fma.f64 x 1/116 4/29)) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/116 x 4/29))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/116 x 4/29))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 8)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x 1/116 4/29))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 1/116 x 4/29))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) 2) -1) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(*.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) 2)))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 1) (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) 2))
(/.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) 2))
(*.f64 (pow.f64 (/.f64 116 (+.f64 (pow.f64 x 3) 4096)) -1) (/.f64 1 (-.f64 (fma.f64 x x 256) (*.f64 x 16))))
(*.f64 (/.f64 1 (/.f64 116 (+.f64 (pow.f64 x 3) 4096))) (/.f64 1 (-.f64 (fma.f64 x x 256) (*.f64 x 16))))
(/.f64 (*.f64 1/116 (+.f64 (pow.f64 x 3) 4096)) (+.f64 (fma.f64 x x 256) (*.f64 x -16)))
(/.f64 1/116 (/.f64 (fma.f64 x -16 (fma.f64 x x 256)) (+.f64 (pow.f64 x 3) 4096)))
(*.f64 (pow.f64 (/.f64 116 (fma.f64 x x -256)) -1) (/.f64 1 (+.f64 x -16)))
(*.f64 (/.f64 1 (/.f64 116 (fma.f64 x x -256))) (/.f64 1 (+.f64 x -16)))
(/.f64 (*.f64 1/116 (fma.f64 x x -256)) (+.f64 x -16))
(pow.f64 (*.f64 (+.f64 x 16) 1/116) 1)
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 3)
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(pow.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456) 1/2)
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(pow.f64 (*.f64 (pow.f64 (+.f64 x 16) 3) 1/1560896) 1/3)
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(pow.f64 (/.f64 116 (+.f64 x 16)) -1)
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(pow.f64 (E.f64) (log.f64 (*.f64 (+.f64 x 16) 1/116)))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(pow.f64 (/.f64 (/.f64 116 (+.f64 x 16)) 1) -1)
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/116 4/29))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 1/116 4/29))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/116 x 4/29))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/116 x 4/29))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 1/116 x -25/29))) 2)) (cbrt.f64 (log1p.f64 (fma.f64 1/116 x -25/29))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)))) (sqrt.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/116 4/29)))) (sqrt.f64 (log.f64 (fma.f64 x 1/116 4/29))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/116 x 4/29)))) (sqrt.f64 (log.f64 (fma.f64 1/116 x 4/29))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (fma.f64 1/116 x -25/29)))) (sqrt.f64 (log1p.f64 (fma.f64 1/116 x -25/29))))
(neg.f64 (/.f64 (+.f64 x 16) -116))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(log.f64 (pow.f64 (exp.f64 1/116) (+.f64 x 16)))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 3) 1/1560896))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116)))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(exp.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 x 16) 1/116))) 1/3))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (/.f64 116 (+.f64 x 16))) -1))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 16) 1/116)))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 x 1/116))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 (*.f64 x 1/116) 4/29)
(fma.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 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 0 (fma.f64 x 1/116 4/29))
(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 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) (+.f64 x 16))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) (+.f64 x 16)))))
(*.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 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(-.f64 (+.f64 1 (fma.f64 x 1/116 4/29)) 1)
(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 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 (fma.f64 x 1/116 4/29) (log.f64 (E.f64)))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 1 (fma.f64 x 1/116 4/29))
(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 x 1/116 4/29)
(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 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 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 1 1/3) (fma.f64 x 1/116 4/29))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) 2) 3) (cbrt.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) 3))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3)) 1/3))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x 1/116 4/29) (cbrt.f64 (fma.f64 x 1/116 4/29))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) (cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) (fma.f64 x 1/116 4/29)) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/116 x 4/29))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/116 x 4/29))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 8)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x 1/116 4/29))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x 1/116 4/29))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 1/116 x 4/29))))
(/.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 (*.f64 (pow.f64 x 3) 1/1560896) 64/24389) (+.f64 (pow.f64 (*.f64 1/116 x) 2) (-.f64 16/841 (*.f64 x 1/841))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (+.f64 (pow.f64 (*.f64 1/116 x) 2) (+.f64 16/841 (*.f64 x -1/841))))
(/.f64 (fma.f64 1/1560896 (pow.f64 x 3) 64/24389) (fma.f64 1/13456 (*.f64 x x) (fma.f64 x -1/841 16/841)))
(/.f64 (-.f64 (pow.f64 (*.f64 x 1/116) 2) 16/841) (fma.f64 x 1/116 -4/29))
(/.f64 (+.f64 (pow.f64 (*.f64 1/116 x) 2) -16/841) (fma.f64 x 1/116 -4/29))
(/.f64 (+.f64 (pow.f64 (*.f64 1/116 x) 2) -16/841) (fma.f64 1/116 x -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 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 3)
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 2) 1/2)
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3) 1/3)
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(pow.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) 2)
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(pow.f64 (E.f64) (log.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/116 4/29))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 1/116 4/29))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/116 x 4/29))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/116 x 4/29))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 1/116 x -25/29))) 2)) (cbrt.f64 (log1p.f64 (fma.f64 1/116 x -25/29))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/116 4/29)))) (sqrt.f64 (log.f64 (fma.f64 x 1/116 4/29))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/116 x 4/29)))) (sqrt.f64 (log.f64 (fma.f64 1/116 x 4/29))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (fma.f64 1/116 x -25/29)))) (sqrt.f64 (log1p.f64 (fma.f64 1/116 x -25/29))))
(sqrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 2))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(log.f64 (exp.f64 (fma.f64 x 1/116 4/29)))
(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 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(expm1.f64 (log1p.f64 (fma.f64 x 1/116 4/29)))
(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 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) 3))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x 1/116 4/29))) 1/3))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/116 4/29))) 2))
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(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)

eval38.0ms (2%)

Compiler

Compiled 1368 to 1166 computations (14.8% saved)

prune18.0ms (0.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1192121
Fresh000
Picked022
Done000
Total1194123
Accuracy
100.0%
Counts
123 → 4
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)
50.4%
(*.f64 1/116 x)
51.2%
4/29
Compiler

Compiled 17 to 14 computations (17.6% saved)

localize19.0ms (1%)

Localize:

Found 1 expressions with local error:

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

Compiled 8 to 6 computations (25% saved)

series1.0ms (0.1%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 1/116 x)
0.0ms
x
@inf
(*.f64 1/116 x)
0.0ms
x
@-inf
(*.f64 1/116 x)

rewrite146.0ms (7.6%)

Algorithm
batch-egg-rewrite
Rules
910×log1p-expm1-u
626×associate-*r*
576×expm1-udef
576×log1p-udef
574×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
14610
248710
3571010
Stop Event
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 x) 1/116))))
(+.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 x) 1/116))
(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)))

simplify51.0ms (2.7%)

Algorithm
egg-herbie
Rules
596×times-frac
576×*-commutative
570×fma-neg
544×distribute-lft-out
504×associate--l+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
083425
1202421
2556414
32582410
Stop Event
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 x) 1/116))))
(+.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 x) 1/116))
(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 x) 1/116))))
(+.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 x) 1/116))
(*.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 (0.4%)

Compiler

Compiled 311 to 257 computations (17.4% saved)

prune22.0ms (1.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New31031
Fresh000
Picked022
Done022
Total31435
Accuracy
100.0%
Counts
35 → 4
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)
50.4%
(*.f64 1/116 x)
51.2%
4/29
Compiler

Compiled 31 to 25 computations (19.4% saved)

regimes12.0ms (0.6%)

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

3 calls:

4.0ms
(+.f64 x 16)
4.0ms
x
3.0ms
(/.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 12 to 9 computations (25% saved)

regimes11.0ms (0.6%)

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:

10.0ms
x
Results
AccuracySegmentsBranch
98.2%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

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:

3.0ms
x
Results
AccuracySegmentsBranch
51.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch31.0ms (1.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.2448071516788204e-10
437.1538754056574
14.0ms
-120.74305175095283
-1.0411212263670439e-5
Results
27.0ms304×256valid
Compiler

Compiled 162 to 141 computations (13% saved)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative
if-if-or-not
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02059
12759
Stop Event
done
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x 16) 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)
(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 22 to 18 computations (18.2% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess31.0ms (1.6%)

Compiler

Compiled 52 to 42 computations (19.2% saved)

Profiling

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