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

Time bar (total: 2.4s)

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)

sample1.0s (43.4%)

Results
1.0s8256×body256valid
Bogosity

preprocess72.0ms (3%)

Algorithm
egg-herbie
Rules
36×fma-def
30×sub-neg
22×div-sub
20×+-commutative
12×*-commutative
Problems
256×No Errors
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01352
11948
22748
34348
45848
58548
612848
715844
817444
917744
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x 16) 116)
(/.f64 (+.f64 x 16) 116)
(/.f64 (+.f64 (neg.f64 x) 16) 116)
Outputs
(/.f64 (+.f64 x 16) 116)
(-.f64 (/.f64 x 116) -4/29)
(+.f64 (/.f64 x 116) 4/29)
(+.f64 4/29 (/.f64 x 116))
(/.f64 (+.f64 x 16) 116)
(-.f64 (/.f64 x 116) -4/29)
(+.f64 (/.f64 x 116) 4/29)
(+.f64 4/29 (/.f64 x 116))
(/.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 x -116))
(+.f64 4/29 (*.f64 -1/116 x))
(fma.f64 x -1/116 4/29)
Compiler

Compiled 19 to 15 computations (21.1% saved)

eval1.0ms (0%)

Compiler

Compiled 16 to 13 computations (18.8% saved)

prune2.0ms (0.1%)

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)

localize79.0ms (3.3%)

Localize:

Found 1 expressions with local error:

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

Compiled 13 to 10 computations (23.1% saved)

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
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)

rewrite168.0ms (7%)

Algorithm
batch-egg-rewrite
Rules
528×unpow-prod-down
423×log1p-expm1-u
423×expm1-log1p-u
400×add-exp-log
391×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
18916
2113316
Stop Event
node limit
Counts
1 → 53
Calls
Call 1
Inputs
(/.f64 (+.f64 x 16) 116)
Outputs
(+.f64 0 (*.f64 (+.f64 x 16) 1/116))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/58))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))))
(-.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 (*.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 (neg.f64 (+.f64 x 16)) -1/116)
(*.f64 1/116 (+.f64 x 16))
(*.f64 1/116 (pow.f64 (/.f64 1 (+.f64 x 16)) -1))
(*.f64 (pow.f64 1 1/3) (*.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 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3)) 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)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456) (+.f64 x 16))) (cbrt.f64 1/116))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x 16) 1/116) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 5/2)) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 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 (E.f64) (log.f64 (*.f64 (+.f64 x 16) 1/116)))
(pow.f64 (/.f64 (/.f64 116 (+.f64 x 16)) 1) -1)
(pow.f64 (exp.f64 (cbrt.f64 (pow.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 (+.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 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3)) 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)))

simplify82.0ms (3.4%)

Algorithm
egg-herbie
Rules
850×log-prod
788×times-frac
772×fma-def
754×distribute-lft-in
728×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01691507
13831175
210861153
349331153
Stop Event
node limit
Counts
65 → 76
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 0 (*.f64 (+.f64 x 16) 1/116))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/58))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))))
(-.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 (*.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 (neg.f64 (+.f64 x 16)) -1/116)
(*.f64 1/116 (+.f64 x 16))
(*.f64 1/116 (pow.f64 (/.f64 1 (+.f64 x 16)) -1))
(*.f64 (pow.f64 1 1/3) (*.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 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3)) 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)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456) (+.f64 x 16))) (cbrt.f64 1/116))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x 16) 1/116) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 5/2)) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 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 (E.f64) (log.f64 (*.f64 (+.f64 x 16) 1/116)))
(pow.f64 (/.f64 (/.f64 116 (+.f64 x 16)) 1) -1)
(pow.f64 (exp.f64 (cbrt.f64 (pow.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 (+.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 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3)) 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)))
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 0 (*.f64 (+.f64 x 16) 1/116))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/58))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))))
(+.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 x 16) (pow.f64 (cbrt.f64 1/116) 3))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (+.f64 x 16) (pow.f64 (sqrt.f64 1/116) 2))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (+.f64 x 16) (exp.f64 (log.f64 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 (*.f64 (+.f64 x 16) 1/116) (log.f64 (E.f64)))
(+.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 (neg.f64 (+.f64 x 16)) -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)
(*.f64 1/116 (pow.f64 (/.f64 1 (+.f64 x 16)) -1))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 x 16) 1/116))
(+.f64 4/29 (*.f64 1/116 x))
(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))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3)) 1/3) (pow.f64 (sqrt.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)
(*.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 1/13456 (pow.f64 (+.f64 x 16) 3))))
(*.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 (pow.f64 (*.f64 (+.f64 x 16) (*.f64 1/116 (cbrt.f64 (+.f64 4/29 (*.f64 1/116 x))))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 4/29 (*.f64 1/116 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 4) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 1/116 x 4/29))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 8)) (cbrt.f64 (cbrt.f64 (fma.f64 1/116 x 4/29))))
(*.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 (+.f64 4/29 (*.f64 1/116 x)) 5/2)) (cbrt.f64 (sqrt.f64 (+.f64 4/29 (*.f64 1/116 x)))))
(*.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 (+.f64 4/29 (*.f64 1/116 x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) 2)))
(*.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (/.f64 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 (+.f64 (*.f64 1/116 (pow.f64 x 3)) 1024/29) (fma.f64 x -16 (fma.f64 x x 256)))
(/.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))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3))))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456) (+.f64 x 16))) (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 1/13456 (pow.f64 (+.f64 x 16) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x 16) 1/116) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x 16) (*.f64 1/116 (cbrt.f64 (+.f64 4/29 (*.f64 1/116 x))))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 4/29 (*.f64 1/116 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 4) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 1/116 x 4/29))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 8)) (cbrt.f64 (cbrt.f64 (fma.f64 1/116 x 4/29))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 5/2)) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 4/29 (*.f64 1/116 x)) 5/2)) (cbrt.f64 (sqrt.f64 (+.f64 4/29 (*.f64 1/116 x)))))
(*.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))))
(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 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456) 1/2)
(+.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)
(pow.f64 (E.f64) (log.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (/.f64 (/.f64 116 (+.f64 x 16)) 1) -1)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)) 2))) (cbrt.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 4/29 (*.f64 1/116 x))) 2))) (cbrt.f64 (log.f64 (+.f64 4/29 (*.f64 1/116 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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))))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(neg.f64 (/.f64 (+.f64 x 16) -116))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(log.f64 (pow.f64 (exp.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)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.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)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (/.f64 116 (+.f64 x 16))) -1))
(+.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)

eval43.0ms (1.8%)

Compiler

Compiled 918 to 787 computations (14.3% saved)

prune93.0ms (3.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New73376
Fresh000
Picked011
Done000
Total73477
Accuracy
100.0%
Counts
77 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x 16) 116)
83.1%
(/.f64 (*.f64 1/116 (fma.f64 x x -256)) (+.f64 x -16))
48.3%
(*.f64 1/116 x)
52.8%
4/29
100.0%
(/.f64 (+.f64 x 16) 116)
83.1%
(/.f64 (*.f64 1/116 (fma.f64 x x -256)) (+.f64 x -16))
48.3%
(*.f64 1/116 x)
52.8%
4/29
Compiler

Compiled 46 to 36 computations (21.7% saved)

localize51.0ms (2.1%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 1/116 (fma.f64 x x -256))
83.2%
(/.f64 (*.f64 1/116 (fma.f64 x x -256)) (+.f64 x -16))
99.8%
(*.f64 1/116 x)
Compiler

Compiled 34 to 23 computations (32.4% saved)

series4.0ms (0.2%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 1/116 (fma.f64 x x -256))
1.0ms
x
@-inf
(/.f64 (*.f64 1/116 (fma.f64 x x -256)) (+.f64 x -16))
1.0ms
x
@-inf
(*.f64 1/116 x)
0.0ms
x
@0
(/.f64 (*.f64 1/116 (fma.f64 x x -256)) (+.f64 x -16))
0.0ms
x
@inf
(/.f64 (*.f64 1/116 (fma.f64 x x -256)) (+.f64 x -16))

rewrite76.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
826×log-prod
793×log1p-expm1-u
793×expm1-log1p-u
510×pow-prod-down
336×pow-prod-up
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01467
115147
2210644
Stop Event
node limit
Counts
3 → 102
Calls
Call 1
Inputs
(*.f64 1/116 x)
(/.f64 (*.f64 1/116 (fma.f64 x x -256)) (+.f64 x -16))
(*.f64 1/116 (fma.f64 x x -256))
Outputs
(+.f64 0 (*.f64 1/116 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) x)) (cbrt.f64 (pow.f64 (exp.f64 1/116) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/116) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/116) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/116 x))) 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 (pow.f64 (*.f64 1/116 x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/116 x)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/13456))
(log.f64 (pow.f64 (exp.f64 1/116) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/116 x))))
(cbrt.f64 (pow.f64 (*.f64 1/116 x) 3))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/116 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/116 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/116 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/116 x))) 2))
(log1p.f64 (expm1.f64 (*.f64 1/116 x)))
(+.f64 0 (*.f64 1/116 (+.f64 x 16)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 1/116 (+.f64 x 16)))) (cbrt.f64 (exp.f64 (*.f64 1/116 (+.f64 x 16)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 1/116 (+.f64 x 16))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 1/116 (+.f64 x 16))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 1/116 (+.f64 x 16))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/116 (+.f64 x 16)))) 1)
(*.f64 1/116 (+.f64 x 16))
(*.f64 1/116 (/.f64 1 (/.f64 1 (+.f64 x 16))))
(*.f64 1/116 (*.f64 (fma.f64 x x -256) (/.f64 1 (+.f64 x -16))))
(*.f64 (fma.f64 x x -256) (*.f64 1/116 (/.f64 1 (+.f64 x -16))))
(*.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (/.f64 1 (+.f64 x -16)))
(*.f64 (*.f64 1/116 (+.f64 x 16)) 1)
(*.f64 (*.f64 1/116 (+.f64 x 16)) (log.f64 (exp.f64 1)))
(*.f64 1 (*.f64 1/116 (+.f64 x 16)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 2)) (*.f64 (cbrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) (/.f64 1 (+.f64 x -16))))
(*.f64 (cbrt.f64 (*.f64 1/116 (+.f64 x 16))) (cbrt.f64 (pow.f64 (*.f64 1/116 (+.f64 x 16)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 1/116 (+.f64 x 16)) 2)) (cbrt.f64 (*.f64 1/116 (+.f64 x 16))))
(*.f64 (sqrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) (*.f64 (sqrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) (/.f64 1 (+.f64 x -16))))
(*.f64 (sqrt.f64 (*.f64 1/116 (+.f64 x 16))) (sqrt.f64 (*.f64 1/116 (+.f64 x 16))))
(*.f64 (*.f64 (fma.f64 x x -256) -1/116) (/.f64 1 (+.f64 16 (neg.f64 x))))
(*.f64 (/.f64 1 (+.f64 x -16)) (fma.f64 1/116 (pow.f64 x 2) -64/29))
(*.f64 (/.f64 1/116 (pow.f64 (cbrt.f64 (+.f64 x -16)) 2)) (/.f64 (fma.f64 x x -256) (cbrt.f64 (+.f64 x -16))))
(*.f64 (/.f64 1/116 (sqrt.f64 (+.f64 x -16))) (/.f64 (fma.f64 x x -256) (sqrt.f64 (+.f64 x -16))))
(*.f64 (/.f64 (fma.f64 x x -256) (sqrt.f64 (+.f64 x -16))) (/.f64 1/116 (sqrt.f64 (+.f64 x -16))))
(*.f64 (/.f64 (fma.f64 x x -256) 1) (/.f64 1/116 (+.f64 x -16)))
(*.f64 (/.f64 1/116 (+.f64 x -16)) (fma.f64 x x -256))
(*.f64 (/.f64 (fma.f64 x x -256) (pow.f64 (cbrt.f64 (+.f64 x -16)) 2)) (/.f64 1/116 (cbrt.f64 (+.f64 x -16))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -16)) -2) (/.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (cbrt.f64 (+.f64 x -16))))
(*.f64 (pow.f64 (+.f64 x -16) -1/2) (/.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (sqrt.f64 (+.f64 x -16))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) (+.f64 x -16)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 2)) (pow.f64 (cbrt.f64 (+.f64 x -16)) 2)) (cbrt.f64 (*.f64 1/116 (+.f64 x 16))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 2)) (sqrt.f64 (+.f64 x -16))) (/.f64 (cbrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) (sqrt.f64 (+.f64 x -16))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) 1) (/.f64 (sqrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) (+.f64 x -16)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) (pow.f64 (cbrt.f64 (+.f64 x -16)) 2)) (/.f64 (sqrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) (cbrt.f64 (+.f64 x -16))))
(*.f64 (/.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (+.f64 (pow.f64 x 3) -4096)) (-.f64 (fma.f64 x x 256) (*.f64 x -16)))
(*.f64 (/.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (fma.f64 x x -256)) (+.f64 x 16))
(pow.f64 (*.f64 1/116 (+.f64 x 16)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/116 (+.f64 x 16))) 3)
(pow.f64 (pow.f64 (*.f64 1/116 (+.f64 x 16)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 1/116 (+.f64 x 16)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/116 (+.f64 x 16))) 2)
(pow.f64 (*.f64 116 (/.f64 1 (+.f64 x 16))) -1)
(pow.f64 (/.f64 (*.f64 116 (/.f64 1 (+.f64 x 16))) 1) -1)
(neg.f64 (/.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (+.f64 16 (neg.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 1/116 (+.f64 x 16)) 2))
(log.f64 (exp.f64 (*.f64 1/116 (+.f64 x 16))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/116 (+.f64 x 16)))))
(cbrt.f64 (pow.f64 (*.f64 1/116 (+.f64 x 16)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 3) (pow.f64 (+.f64 x -16) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/116 (+.f64 x 16))))
(exp.f64 (log.f64 (*.f64 1/116 (+.f64 x 16))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/116 (+.f64 x 16))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/116 (+.f64 x 16))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/116 (+.f64 x 16)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/116 (+.f64 x 16)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/116 (+.f64 x 16)))) 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 1/116 (+.f64 x 16)))) -1))
(log1p.f64 (expm1.f64 (*.f64 1/116 (+.f64 x 16))))
(+.f64 0 (fma.f64 1/116 (pow.f64 x 2) -64/29))
(+.f64 (*.f64 1/116 (pow.f64 x 2)) -64/29)
(+.f64 (*.f64 (pow.f64 x 2) 1/116) -64/29)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29))) (cbrt.f64 (exp.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29))) 1)
(pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) 3)
(pow.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 2))
(log.f64 (exp.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29))))
(cbrt.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)))
(exp.f64 (log.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29))) 2))
(log1p.f64 (expm1.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)))
(fma.f64 1/116 (pow.f64 x 2) -64/29)
(fma.f64 (pow.f64 x 2) 1/116 -64/29)

simplify59.0ms (2.5%)

Algorithm
egg-herbie
Rules
1306×fma-def
1120×associate-/l*
944×unswap-sqr
910×times-frac
504×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02653227
15792868
220322754
Stop Event
node limit
Counts
126 → 140
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))
-64/29
(-.f64 (*.f64 1/116 (pow.f64 x 2)) 64/29)
(-.f64 (*.f64 1/116 (pow.f64 x 2)) 64/29)
(-.f64 (*.f64 1/116 (pow.f64 x 2)) 64/29)
(*.f64 1/116 (pow.f64 x 2))
(-.f64 (*.f64 1/116 (pow.f64 x 2)) 64/29)
(-.f64 (*.f64 1/116 (pow.f64 x 2)) 64/29)
(-.f64 (*.f64 1/116 (pow.f64 x 2)) 64/29)
(*.f64 1/116 (pow.f64 x 2))
(-.f64 (*.f64 1/116 (pow.f64 x 2)) 64/29)
(-.f64 (*.f64 1/116 (pow.f64 x 2)) 64/29)
(-.f64 (*.f64 1/116 (pow.f64 x 2)) 64/29)
(+.f64 0 (*.f64 1/116 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) x)) (cbrt.f64 (pow.f64 (exp.f64 1/116) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/116) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/116) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/116 x))) 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 (pow.f64 (*.f64 1/116 x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/116 x)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/13456))
(log.f64 (pow.f64 (exp.f64 1/116) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/116 x))))
(cbrt.f64 (pow.f64 (*.f64 1/116 x) 3))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/116 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/116 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/116 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/116 x))) 2))
(log1p.f64 (expm1.f64 (*.f64 1/116 x)))
(+.f64 0 (*.f64 1/116 (+.f64 x 16)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 1/116 (+.f64 x 16)))) (cbrt.f64 (exp.f64 (*.f64 1/116 (+.f64 x 16)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 1/116 (+.f64 x 16))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 1/116 (+.f64 x 16))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 1/116 (+.f64 x 16))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/116 (+.f64 x 16)))) 1)
(*.f64 1/116 (+.f64 x 16))
(*.f64 1/116 (/.f64 1 (/.f64 1 (+.f64 x 16))))
(*.f64 1/116 (*.f64 (fma.f64 x x -256) (/.f64 1 (+.f64 x -16))))
(*.f64 (fma.f64 x x -256) (*.f64 1/116 (/.f64 1 (+.f64 x -16))))
(*.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (/.f64 1 (+.f64 x -16)))
(*.f64 (*.f64 1/116 (+.f64 x 16)) 1)
(*.f64 (*.f64 1/116 (+.f64 x 16)) (log.f64 (exp.f64 1)))
(*.f64 1 (*.f64 1/116 (+.f64 x 16)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 2)) (*.f64 (cbrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) (/.f64 1 (+.f64 x -16))))
(*.f64 (cbrt.f64 (*.f64 1/116 (+.f64 x 16))) (cbrt.f64 (pow.f64 (*.f64 1/116 (+.f64 x 16)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 1/116 (+.f64 x 16)) 2)) (cbrt.f64 (*.f64 1/116 (+.f64 x 16))))
(*.f64 (sqrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) (*.f64 (sqrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) (/.f64 1 (+.f64 x -16))))
(*.f64 (sqrt.f64 (*.f64 1/116 (+.f64 x 16))) (sqrt.f64 (*.f64 1/116 (+.f64 x 16))))
(*.f64 (*.f64 (fma.f64 x x -256) -1/116) (/.f64 1 (+.f64 16 (neg.f64 x))))
(*.f64 (/.f64 1 (+.f64 x -16)) (fma.f64 1/116 (pow.f64 x 2) -64/29))
(*.f64 (/.f64 1/116 (pow.f64 (cbrt.f64 (+.f64 x -16)) 2)) (/.f64 (fma.f64 x x -256) (cbrt.f64 (+.f64 x -16))))
(*.f64 (/.f64 1/116 (sqrt.f64 (+.f64 x -16))) (/.f64 (fma.f64 x x -256) (sqrt.f64 (+.f64 x -16))))
(*.f64 (/.f64 (fma.f64 x x -256) (sqrt.f64 (+.f64 x -16))) (/.f64 1/116 (sqrt.f64 (+.f64 x -16))))
(*.f64 (/.f64 (fma.f64 x x -256) 1) (/.f64 1/116 (+.f64 x -16)))
(*.f64 (/.f64 1/116 (+.f64 x -16)) (fma.f64 x x -256))
(*.f64 (/.f64 (fma.f64 x x -256) (pow.f64 (cbrt.f64 (+.f64 x -16)) 2)) (/.f64 1/116 (cbrt.f64 (+.f64 x -16))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -16)) -2) (/.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (cbrt.f64 (+.f64 x -16))))
(*.f64 (pow.f64 (+.f64 x -16) -1/2) (/.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (sqrt.f64 (+.f64 x -16))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) (+.f64 x -16)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 2)) (pow.f64 (cbrt.f64 (+.f64 x -16)) 2)) (cbrt.f64 (*.f64 1/116 (+.f64 x 16))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 2)) (sqrt.f64 (+.f64 x -16))) (/.f64 (cbrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) (sqrt.f64 (+.f64 x -16))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) 1) (/.f64 (sqrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) (+.f64 x -16)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) (pow.f64 (cbrt.f64 (+.f64 x -16)) 2)) (/.f64 (sqrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) (cbrt.f64 (+.f64 x -16))))
(*.f64 (/.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (+.f64 (pow.f64 x 3) -4096)) (-.f64 (fma.f64 x x 256) (*.f64 x -16)))
(*.f64 (/.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (fma.f64 x x -256)) (+.f64 x 16))
(pow.f64 (*.f64 1/116 (+.f64 x 16)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/116 (+.f64 x 16))) 3)
(pow.f64 (pow.f64 (*.f64 1/116 (+.f64 x 16)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 1/116 (+.f64 x 16)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/116 (+.f64 x 16))) 2)
(pow.f64 (*.f64 116 (/.f64 1 (+.f64 x 16))) -1)
(pow.f64 (/.f64 (*.f64 116 (/.f64 1 (+.f64 x 16))) 1) -1)
(neg.f64 (/.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (+.f64 16 (neg.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 1/116 (+.f64 x 16)) 2))
(log.f64 (exp.f64 (*.f64 1/116 (+.f64 x 16))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/116 (+.f64 x 16)))))
(cbrt.f64 (pow.f64 (*.f64 1/116 (+.f64 x 16)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 3) (pow.f64 (+.f64 x -16) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/116 (+.f64 x 16))))
(exp.f64 (log.f64 (*.f64 1/116 (+.f64 x 16))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/116 (+.f64 x 16))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/116 (+.f64 x 16))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/116 (+.f64 x 16)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/116 (+.f64 x 16)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/116 (+.f64 x 16)))) 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 1/116 (+.f64 x 16)))) -1))
(log1p.f64 (expm1.f64 (*.f64 1/116 (+.f64 x 16))))
(+.f64 0 (fma.f64 1/116 (pow.f64 x 2) -64/29))
(+.f64 (*.f64 1/116 (pow.f64 x 2)) -64/29)
(+.f64 (*.f64 (pow.f64 x 2) 1/116) -64/29)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29))) (cbrt.f64 (exp.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29))) 1)
(pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) 3)
(pow.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 2))
(log.f64 (exp.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29))))
(cbrt.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)))
(exp.f64 (log.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29))) 2))
(log1p.f64 (expm1.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)))
(fma.f64 1/116 (pow.f64 x 2) -64/29)
(fma.f64 (pow.f64 x 2) 1/116 -64/29)
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)
-64/29
(-.f64 (*.f64 1/116 (pow.f64 x 2)) 64/29)
(fma.f64 1/116 (pow.f64 x 2) -64/29)
(-.f64 (*.f64 1/116 (pow.f64 x 2)) 64/29)
(fma.f64 1/116 (pow.f64 x 2) -64/29)
(-.f64 (*.f64 1/116 (pow.f64 x 2)) 64/29)
(fma.f64 1/116 (pow.f64 x 2) -64/29)
(*.f64 1/116 (pow.f64 x 2))
(-.f64 (*.f64 1/116 (pow.f64 x 2)) 64/29)
(fma.f64 1/116 (pow.f64 x 2) -64/29)
(-.f64 (*.f64 1/116 (pow.f64 x 2)) 64/29)
(fma.f64 1/116 (pow.f64 x 2) -64/29)
(-.f64 (*.f64 1/116 (pow.f64 x 2)) 64/29)
(fma.f64 1/116 (pow.f64 x 2) -64/29)
(*.f64 1/116 (pow.f64 x 2))
(-.f64 (*.f64 1/116 (pow.f64 x 2)) 64/29)
(fma.f64 1/116 (pow.f64 x 2) -64/29)
(-.f64 (*.f64 1/116 (pow.f64 x 2)) 64/29)
(fma.f64 1/116 (pow.f64 x 2) -64/29)
(-.f64 (*.f64 1/116 (pow.f64 x 2)) 64/29)
(fma.f64 1/116 (pow.f64 x 2) -64/29)
(+.f64 0 (*.f64 1/116 x))
(*.f64 1/116 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) x)) (cbrt.f64 (pow.f64 (exp.f64 1/116) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/116) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/116) x))))
(*.f64 1/116 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/116 x))) 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)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/13456))
(fabs.f64 (*.f64 1/116 x))
(pow.f64 (pow.f64 (*.f64 1/116 x) 3) 1/3)
(*.f64 1/116 x)
(pow.f64 (sqrt.f64 (*.f64 1/116 x)) 2)
(*.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))
(*.f64 1/116 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/116 x))))
(*.f64 1/116 x)
(cbrt.f64 (pow.f64 (*.f64 1/116 x) 3))
(*.f64 1/116 x)
(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)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/116 x)) 1) 1))
(*.f64 1/116 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/116 x))) 3))
(*.f64 1/116 x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/116 x))) 1/3))
(*.f64 1/116 x)
(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)
(+.f64 0 (*.f64 1/116 (+.f64 x 16)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 1/116 (+.f64 x 16)))) (cbrt.f64 (exp.f64 (*.f64 1/116 (+.f64 x 16)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 1/116 (+.f64 x 16))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) (+.f64 x 16))) (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 (*.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 (*.f64 1/116 (+.f64 x 16))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 1/116 (+.f64 x 16))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/116) (+.f64 x 16)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/116 x 4/29)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/116 (+.f64 x 16)))) 1)
(+.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)
(*.f64 1/116 (/.f64 1 (/.f64 1 (+.f64 x 16))))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 (*.f64 (fma.f64 x x -256) (/.f64 1 (+.f64 x -16))))
(/.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (+.f64 x -16))
(*.f64 (fma.f64 x x -256) (*.f64 1/116 (/.f64 1 (+.f64 x -16))))
(*.f64 1/116 (*.f64 (fma.f64 x x -256) (/.f64 1 (+.f64 x -16))))
(/.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (+.f64 x -16))
(*.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (/.f64 1 (+.f64 x -16)))
(*.f64 1/116 (*.f64 (fma.f64 x x -256) (/.f64 1 (+.f64 x -16))))
(/.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (+.f64 x -16))
(*.f64 (*.f64 1/116 (+.f64 x 16)) 1)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (*.f64 1/116 (+.f64 x 16)) (log.f64 (exp.f64 1)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1 (*.f64 1/116 (+.f64 x 16)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 2)) (*.f64 (cbrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) (/.f64 1 (+.f64 x -16))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 2)) (*.f64 (/.f64 1 (+.f64 x -16)) (cbrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 2)) (/.f64 (cbrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) (+.f64 x -16)))
(*.f64 (cbrt.f64 (*.f64 1/116 (+.f64 x 16))) (cbrt.f64 (pow.f64 (*.f64 1/116 (+.f64 x 16)) 2)))
(*.f64 (cbrt.f64 (+.f64 4/29 (*.f64 1/116 x))) (cbrt.f64 (pow.f64 (+.f64 4/29 (*.f64 1/116 x)) 2)))
(*.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 1/116 (+.f64 x 16)) 2)) (cbrt.f64 (*.f64 1/116 (+.f64 x 16))))
(*.f64 (cbrt.f64 (+.f64 4/29 (*.f64 1/116 x))) (cbrt.f64 (pow.f64 (+.f64 4/29 (*.f64 1/116 x)) 2)))
(*.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 2)))
(*.f64 (sqrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) (*.f64 (sqrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) (/.f64 1 (+.f64 x -16))))
(*.f64 1/116 (*.f64 (fma.f64 x x -256) (/.f64 1 (+.f64 x -16))))
(/.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (+.f64 x -16))
(*.f64 (sqrt.f64 (*.f64 1/116 (+.f64 x 16))) (sqrt.f64 (*.f64 1/116 (+.f64 x 16))))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (*.f64 (fma.f64 x x -256) -1/116) (/.f64 1 (+.f64 16 (neg.f64 x))))
(*.f64 (*.f64 (fma.f64 x x -256) -1/116) (/.f64 1 (-.f64 16 x)))
(/.f64 (*.f64 (fma.f64 x x -256) -1/116) (-.f64 16 x))
(/.f64 (fma.f64 (pow.f64 x 2) -1/116 64/29) (-.f64 16 x))
(*.f64 (/.f64 1 (+.f64 x -16)) (fma.f64 1/116 (pow.f64 x 2) -64/29))
(*.f64 1/116 (*.f64 (fma.f64 x x -256) (/.f64 1 (+.f64 x -16))))
(/.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (+.f64 x -16))
(*.f64 (/.f64 1/116 (pow.f64 (cbrt.f64 (+.f64 x -16)) 2)) (/.f64 (fma.f64 x x -256) (cbrt.f64 (+.f64 x -16))))
(/.f64 (/.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (cbrt.f64 (+.f64 x -16))) (pow.f64 (cbrt.f64 (+.f64 x -16)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -16)) -2) (cbrt.f64 (+.f64 x -16))) (fma.f64 1/116 (pow.f64 x 2) -64/29))
(*.f64 (/.f64 1/116 (sqrt.f64 (+.f64 x -16))) (/.f64 (fma.f64 x x -256) (sqrt.f64 (+.f64 x -16))))
(/.f64 (/.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (sqrt.f64 (+.f64 x -16))) (sqrt.f64 (+.f64 x -16)))
(*.f64 (/.f64 (fma.f64 x x -256) (sqrt.f64 (+.f64 x -16))) (/.f64 1/116 (sqrt.f64 (+.f64 x -16))))
(*.f64 (/.f64 1/116 (sqrt.f64 (+.f64 x -16))) (/.f64 (fma.f64 x x -256) (sqrt.f64 (+.f64 x -16))))
(/.f64 (/.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (sqrt.f64 (+.f64 x -16))) (sqrt.f64 (+.f64 x -16)))
(*.f64 (/.f64 (fma.f64 x x -256) 1) (/.f64 1/116 (+.f64 x -16)))
(*.f64 1/116 (*.f64 (fma.f64 x x -256) (/.f64 1 (+.f64 x -16))))
(/.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (+.f64 x -16))
(*.f64 (/.f64 1/116 (+.f64 x -16)) (fma.f64 x x -256))
(*.f64 1/116 (*.f64 (fma.f64 x x -256) (/.f64 1 (+.f64 x -16))))
(/.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (+.f64 x -16))
(*.f64 (/.f64 (fma.f64 x x -256) (pow.f64 (cbrt.f64 (+.f64 x -16)) 2)) (/.f64 1/116 (cbrt.f64 (+.f64 x -16))))
(*.f64 (/.f64 1/116 (pow.f64 (cbrt.f64 (+.f64 x -16)) 2)) (/.f64 (fma.f64 x x -256) (cbrt.f64 (+.f64 x -16))))
(/.f64 (/.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (cbrt.f64 (+.f64 x -16))) (pow.f64 (cbrt.f64 (+.f64 x -16)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -16)) -2) (cbrt.f64 (+.f64 x -16))) (fma.f64 1/116 (pow.f64 x 2) -64/29))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -16)) -2) (/.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (cbrt.f64 (+.f64 x -16))))
(*.f64 (/.f64 1/116 (pow.f64 (cbrt.f64 (+.f64 x -16)) 2)) (/.f64 (fma.f64 x x -256) (cbrt.f64 (+.f64 x -16))))
(/.f64 (/.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (cbrt.f64 (+.f64 x -16))) (pow.f64 (cbrt.f64 (+.f64 x -16)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -16)) -2) (cbrt.f64 (+.f64 x -16))) (fma.f64 1/116 (pow.f64 x 2) -64/29))
(*.f64 (pow.f64 (+.f64 x -16) -1/2) (/.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (sqrt.f64 (+.f64 x -16))))
(/.f64 (*.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (pow.f64 (+.f64 x -16) -1/2)) (sqrt.f64 (+.f64 x -16)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) (+.f64 x -16)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 2)) (*.f64 (/.f64 1 (+.f64 x -16)) (cbrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 2)) (/.f64 (cbrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) (+.f64 x -16)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 2)) (pow.f64 (cbrt.f64 (+.f64 x -16)) 2)) (cbrt.f64 (*.f64 1/116 (+.f64 x 16))))
(*.f64 (cbrt.f64 (+.f64 4/29 (*.f64 1/116 x))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 2)) (pow.f64 (cbrt.f64 (+.f64 x -16)) 2)))
(*.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 2)) (pow.f64 (cbrt.f64 (+.f64 x -16)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 2)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -16)) 2) (cbrt.f64 (fma.f64 1/116 x 4/29))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 2)) (sqrt.f64 (+.f64 x -16))) (/.f64 (cbrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) (sqrt.f64 (+.f64 x -16))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 2)) (*.f64 (/.f64 (sqrt.f64 (+.f64 x -16)) (cbrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29))) (sqrt.f64 (+.f64 x -16))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) 1) (/.f64 (sqrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) (+.f64 x -16)))
(*.f64 1/116 (*.f64 (fma.f64 x x -256) (/.f64 1 (+.f64 x -16))))
(/.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (+.f64 x -16))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) (pow.f64 (cbrt.f64 (+.f64 x -16)) 2)) (/.f64 (sqrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) (cbrt.f64 (+.f64 x -16))))
(*.f64 (/.f64 1/116 (pow.f64 (cbrt.f64 (+.f64 x -16)) 2)) (/.f64 (fma.f64 x x -256) (cbrt.f64 (+.f64 x -16))))
(/.f64 (/.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (cbrt.f64 (+.f64 x -16))) (pow.f64 (cbrt.f64 (+.f64 x -16)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -16)) -2) (cbrt.f64 (+.f64 x -16))) (fma.f64 1/116 (pow.f64 x 2) -64/29))
(*.f64 (/.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (+.f64 (pow.f64 x 3) -4096)) (-.f64 (fma.f64 x x 256) (*.f64 x -16)))
(*.f64 (/.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (+.f64 (pow.f64 x 3) -4096)) (+.f64 (fma.f64 x x 256) (*.f64 x 16)))
(/.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (/.f64 (+.f64 (pow.f64 x 3) -4096) (fma.f64 x 16 (fma.f64 x x 256))))
(*.f64 (/.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (fma.f64 x x -256)) (+.f64 x 16))
(*.f64 (+.f64 x 16) (/.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (fma.f64 x x -256)))
(/.f64 (*.f64 (fma.f64 x x -256) (fma.f64 1/116 x 4/29)) (fma.f64 x x -256))
(pow.f64 (*.f64 1/116 (+.f64 x 16)) 1)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (cbrt.f64 (*.f64 1/116 (+.f64 x 16))) 3)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (pow.f64 (*.f64 1/116 (+.f64 x 16)) 2) 1/2)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (pow.f64 (*.f64 1/116 (+.f64 x 16)) 3) 1/3)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (sqrt.f64 (*.f64 1/116 (+.f64 x 16))) 2)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (*.f64 116 (/.f64 1 (+.f64 x 16))) -1)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (/.f64 (*.f64 116 (/.f64 1 (+.f64 x 16))) 1) -1)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(neg.f64 (/.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) (+.f64 16 (neg.f64 x))))
(*.f64 (*.f64 (fma.f64 x x -256) -1/116) (/.f64 1 (-.f64 16 x)))
(/.f64 (*.f64 (fma.f64 x x -256) -1/116) (-.f64 16 x))
(/.f64 (fma.f64 (pow.f64 x 2) -1/116 64/29) (-.f64 16 x))
(sqrt.f64 (pow.f64 (*.f64 1/116 (+.f64 x 16)) 2))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(log.f64 (exp.f64 (*.f64 1/116 (+.f64 x 16))))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/116 (+.f64 x 16)))))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(cbrt.f64 (pow.f64 (*.f64 1/116 (+.f64 x 16)) 3))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 3) (pow.f64 (+.f64 x -16) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/116 (+.f64 x 16))))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(exp.f64 (log.f64 (*.f64 1/116 (+.f64 x 16))))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (*.f64 1/116 (+.f64 x 16))) 1))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/116 (+.f64 x 16))) 1) 1))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/116 (+.f64 x 16)))) 3))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/116 (+.f64 x 16)))) 1/3))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/116 (+.f64 x 16)))) 2))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 1/116 (+.f64 x 16)))) -1))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(log1p.f64 (expm1.f64 (*.f64 1/116 (+.f64 x 16))))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 0 (fma.f64 1/116 (pow.f64 x 2) -64/29))
(fma.f64 1/116 (pow.f64 x 2) -64/29)
(+.f64 (*.f64 1/116 (pow.f64 x 2)) -64/29)
(fma.f64 1/116 (pow.f64 x 2) -64/29)
(+.f64 (*.f64 (pow.f64 x 2) 1/116) -64/29)
(fma.f64 1/116 (pow.f64 x 2) -64/29)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29))) (cbrt.f64 (exp.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29))) 1)
(fma.f64 1/116 (pow.f64 x 2) -64/29)
(pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 1)
(fma.f64 1/116 (pow.f64 x 2) -64/29)
(pow.f64 (cbrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) 3)
(fma.f64 1/116 (pow.f64 x 2) -64/29)
(pow.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 2) 1/2)
(fma.f64 1/116 (pow.f64 x 2) -64/29)
(pow.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 3) 1/3)
(fma.f64 1/116 (pow.f64 x 2) -64/29)
(pow.f64 (sqrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) 2)
(fma.f64 1/116 (pow.f64 x 2) -64/29)
(sqrt.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 2))
(fma.f64 1/116 (pow.f64 x 2) -64/29)
(log.f64 (exp.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)))
(fma.f64 1/116 (pow.f64 x 2) -64/29)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29))))
(fma.f64 1/116 (pow.f64 x 2) -64/29)
(cbrt.f64 (pow.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29) 3))
(fma.f64 1/116 (pow.f64 x 2) -64/29)
(expm1.f64 (log1p.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)))
(fma.f64 1/116 (pow.f64 x 2) -64/29)
(exp.f64 (log.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)))
(fma.f64 1/116 (pow.f64 x 2) -64/29)
(exp.f64 (*.f64 (log.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) 1))
(fma.f64 1/116 (pow.f64 x 2) -64/29)
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)) 1) 1))
(fma.f64 1/116 (pow.f64 x 2) -64/29)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29))) 3))
(fma.f64 1/116 (pow.f64 x 2) -64/29)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29))) 1/3))
(fma.f64 1/116 (pow.f64 x 2) -64/29)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29))) 2))
(fma.f64 1/116 (pow.f64 x 2) -64/29)
(log1p.f64 (expm1.f64 (fma.f64 1/116 (pow.f64 x 2) -64/29)))
(fma.f64 1/116 (pow.f64 x 2) -64/29)
(fma.f64 1/116 (pow.f64 x 2) -64/29)
(fma.f64 (pow.f64 x 2) 1/116 -64/29)
(fma.f64 1/116 (pow.f64 x 2) -64/29)

eval47.0ms (1.9%)

Compiler

Compiled 1773 to 1489 computations (16% saved)

prune59.0ms (2.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1391140
Fresh011
Picked112
Done011
Total1404144
Accuracy
100.0%
Counts
144 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x 16) 116)
52.5%
(/.f64 -64/29 (+.f64 x -16))
48.3%
(*.f64 1/116 x)
52.8%
4/29
100.0%
(/.f64 (+.f64 x 16) 116)
52.5%
(/.f64 -64/29 (+.f64 x -16))
48.3%
(*.f64 1/116 x)
52.8%
4/29
Compiler

Compiled 36 to 30 computations (16.7% saved)

localize22.0ms (0.9%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
99.9%
(/.f64 -64/29 (+.f64 x -16))
Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/.f64 -64/29 (+.f64 x -16))
0.0ms
x
@0
(/.f64 -64/29 (+.f64 x -16))
0.0ms
x
@-inf
(/.f64 -64/29 (+.f64 x -16))

rewrite58.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
528×unpow-prod-down
430×log1p-expm1-u
430×expm1-log1p-u
409×add-exp-log
397×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
18816
2115316
Stop Event
node limit
Counts
1 → 50
Calls
Call 1
Inputs
(/.f64 -64/29 (+.f64 x -16))
Outputs
(+.f64 0 (/.f64 -64/29 (+.f64 x -16)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -64/29 (+.f64 x -16)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -64/29 (+.f64 x -16))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -64/29 (+.f64 x -16))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -64/29 (+.f64 x -16))))))
(-.f64 (+.f64 1 (/.f64 -64/29 (+.f64 x -16))) 1)
(*.f64 -64/29 (/.f64 1 (+.f64 x -16)))
(*.f64 (/.f64 -64/29 (+.f64 x -16)) 1)
(*.f64 (/.f64 -64/29 (+.f64 x -16)) (log.f64 (E.f64)))
(*.f64 1 (/.f64 -64/29 (+.f64 x -16)))
(*.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16))) (pow.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16))) 2) (cbrt.f64 (/.f64 -64/29 (+.f64 x -16))))
(*.f64 (sqrt.f64 (/.f64 -64/29 (+.f64 x -16))) (sqrt.f64 (/.f64 -64/29 (+.f64 x -16))))
(*.f64 64/29 (/.f64 1 (+.f64 16 (neg.f64 x))))
(*.f64 (/.f64 1 (+.f64 x -16)) -64/29)
(*.f64 (/.f64 1 (+.f64 x -16)) (log.f64 (exp.f64 -64/29)))
(*.f64 (/.f64 -64/29 (+.f64 (pow.f64 x 3) -4096)) (-.f64 (fma.f64 x x 256) (*.f64 x -16)))
(*.f64 (/.f64 -64/29 (fma.f64 x x -256)) (+.f64 x 16))
(*.f64 (pow.f64 1 1/3) (/.f64 -64/29 (+.f64 x -16)))
(*.f64 (pow.f64 (cbrt.f64 -64/29) 3) (/.f64 1 (+.f64 x -16)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 -64/29 (+.f64 x -16)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 -64/29 (+.f64 x -16)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 x -16) -2) 4096/841) -64/29) 1/3) (/.f64 1 (cbrt.f64 (+.f64 x -16))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 -64/29 (+.f64 x -16)) (cbrt.f64 (/.f64 -64/29 (+.f64 x -16)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 -64/29 (+.f64 x -16)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 -64/29 (+.f64 x -16)))))
(*.f64 (pow.f64 (sqrt.f64 -64/29) 2) (/.f64 1 (+.f64 x -16)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -16) -29/64)) 2) -1) (cbrt.f64 (/.f64 -64/29 (+.f64 x -16))))
(*.f64 (exp.f64 (log.f64 -64/29)) (/.f64 1 (+.f64 x -16)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 -64/29 (+.f64 x -16)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 -64/29 (+.f64 x -16)) 3))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (+.f64 x -16) -2) 4096/841) -64/29)) (/.f64 1 (cbrt.f64 (+.f64 x -16))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 -64/29 (+.f64 x -16)) (cbrt.f64 (/.f64 -64/29 (+.f64 x -16)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -64/29 (+.f64 x -16)) 5/2)) (cbrt.f64 (sqrt.f64 (/.f64 -64/29 (+.f64 x -16)))))
(pow.f64 (/.f64 -64/29 (+.f64 x -16)) 1)
(pow.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16))) 3)
(pow.f64 (*.f64 (pow.f64 (+.f64 x -16) -2) 4096/841) 1/2)
(pow.f64 (pow.f64 (/.f64 -64/29 (+.f64 x -16)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -64/29 (+.f64 x -16))) 2)
(pow.f64 (*.f64 (+.f64 x -16) -29/64) -1)
(pow.f64 (E.f64) (log.f64 (/.f64 -64/29 (+.f64 x -16))))
(pow.f64 (/.f64 (*.f64 (+.f64 x -16) -29/64) 1) -1)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -64/29 (+.f64 x -16))) 2))) (cbrt.f64 (log.f64 (/.f64 -64/29 (+.f64 x -16)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -64/29 (+.f64 x -16))))) (sqrt.f64 (log.f64 (/.f64 -64/29 (+.f64 x -16)))))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x -16) -2) 4096/841))
(log.f64 (exp.f64 (/.f64 -64/29 (+.f64 x -16))))
(cbrt.f64 (pow.f64 (/.f64 -64/29 (+.f64 x -16)) 3))
(expm1.f64 (log1p.f64 (/.f64 -64/29 (+.f64 x -16))))
(exp.f64 (log.f64 (/.f64 -64/29 (+.f64 x -16))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 -64/29 (+.f64 x -16)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 -64/29 (+.f64 x -16)))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x -16) -29/64)) -1))
(log1p.f64 (expm1.f64 (/.f64 -64/29 (+.f64 x -16))))

simplify75.0ms (3.1%)

Algorithm
egg-herbie
Rules
930×fma-def
864×associate-*r/
678×log-prod
512×unswap-sqr
400×sqr-pow
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01921732
14371629
212141591
342921586
Stop Event
node limit
Counts
62 → 91
Calls
Call 1
Inputs
4/29
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (+.f64 (*.f64 1/1856 (pow.f64 x 2)) (*.f64 1/116 x)))
(+.f64 4/29 (+.f64 (*.f64 1/29696 (pow.f64 x 3)) (+.f64 (*.f64 1/1856 (pow.f64 x 2)) (*.f64 1/116 x))))
(/.f64 -64/29 x)
(neg.f64 (+.f64 (*.f64 64/29 (/.f64 1 x)) (*.f64 1024/29 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 1024/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 16384/29 (/.f64 1 (pow.f64 x 3))) (*.f64 64/29 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 1024/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 16384/29 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 262144/29 (/.f64 1 (pow.f64 x 4))) (*.f64 64/29 (/.f64 1 x))))))
(/.f64 -64/29 x)
(neg.f64 (+.f64 (*.f64 64/29 (/.f64 1 x)) (*.f64 1024/29 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 1024/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 16384/29 (/.f64 1 (pow.f64 x 3))) (*.f64 64/29 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 1024/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 16384/29 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 262144/29 (/.f64 1 (pow.f64 x 4))) (*.f64 64/29 (/.f64 1 x))))))
(+.f64 0 (/.f64 -64/29 (+.f64 x -16)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -64/29 (+.f64 x -16)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -64/29 (+.f64 x -16))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -64/29 (+.f64 x -16))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -64/29 (+.f64 x -16))))))
(-.f64 (+.f64 1 (/.f64 -64/29 (+.f64 x -16))) 1)
(*.f64 -64/29 (/.f64 1 (+.f64 x -16)))
(*.f64 (/.f64 -64/29 (+.f64 x -16)) 1)
(*.f64 (/.f64 -64/29 (+.f64 x -16)) (log.f64 (E.f64)))
(*.f64 1 (/.f64 -64/29 (+.f64 x -16)))
(*.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16))) (pow.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16))) 2) (cbrt.f64 (/.f64 -64/29 (+.f64 x -16))))
(*.f64 (sqrt.f64 (/.f64 -64/29 (+.f64 x -16))) (sqrt.f64 (/.f64 -64/29 (+.f64 x -16))))
(*.f64 64/29 (/.f64 1 (+.f64 16 (neg.f64 x))))
(*.f64 (/.f64 1 (+.f64 x -16)) -64/29)
(*.f64 (/.f64 1 (+.f64 x -16)) (log.f64 (exp.f64 -64/29)))
(*.f64 (/.f64 -64/29 (+.f64 (pow.f64 x 3) -4096)) (-.f64 (fma.f64 x x 256) (*.f64 x -16)))
(*.f64 (/.f64 -64/29 (fma.f64 x x -256)) (+.f64 x 16))
(*.f64 (pow.f64 1 1/3) (/.f64 -64/29 (+.f64 x -16)))
(*.f64 (pow.f64 (cbrt.f64 -64/29) 3) (/.f64 1 (+.f64 x -16)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 -64/29 (+.f64 x -16)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 -64/29 (+.f64 x -16)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 x -16) -2) 4096/841) -64/29) 1/3) (/.f64 1 (cbrt.f64 (+.f64 x -16))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 -64/29 (+.f64 x -16)) (cbrt.f64 (/.f64 -64/29 (+.f64 x -16)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 -64/29 (+.f64 x -16)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 -64/29 (+.f64 x -16)))))
(*.f64 (pow.f64 (sqrt.f64 -64/29) 2) (/.f64 1 (+.f64 x -16)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -16) -29/64)) 2) -1) (cbrt.f64 (/.f64 -64/29 (+.f64 x -16))))
(*.f64 (exp.f64 (log.f64 -64/29)) (/.f64 1 (+.f64 x -16)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 -64/29 (+.f64 x -16)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 -64/29 (+.f64 x -16)) 3))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (+.f64 x -16) -2) 4096/841) -64/29)) (/.f64 1 (cbrt.f64 (+.f64 x -16))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 -64/29 (+.f64 x -16)) (cbrt.f64 (/.f64 -64/29 (+.f64 x -16)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -64/29 (+.f64 x -16)) 5/2)) (cbrt.f64 (sqrt.f64 (/.f64 -64/29 (+.f64 x -16)))))
(pow.f64 (/.f64 -64/29 (+.f64 x -16)) 1)
(pow.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16))) 3)
(pow.f64 (*.f64 (pow.f64 (+.f64 x -16) -2) 4096/841) 1/2)
(pow.f64 (pow.f64 (/.f64 -64/29 (+.f64 x -16)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -64/29 (+.f64 x -16))) 2)
(pow.f64 (*.f64 (+.f64 x -16) -29/64) -1)
(pow.f64 (E.f64) (log.f64 (/.f64 -64/29 (+.f64 x -16))))
(pow.f64 (/.f64 (*.f64 (+.f64 x -16) -29/64) 1) -1)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -64/29 (+.f64 x -16))) 2))) (cbrt.f64 (log.f64 (/.f64 -64/29 (+.f64 x -16)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -64/29 (+.f64 x -16))))) (sqrt.f64 (log.f64 (/.f64 -64/29 (+.f64 x -16)))))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x -16) -2) 4096/841))
(log.f64 (exp.f64 (/.f64 -64/29 (+.f64 x -16))))
(cbrt.f64 (pow.f64 (/.f64 -64/29 (+.f64 x -16)) 3))
(expm1.f64 (log1p.f64 (/.f64 -64/29 (+.f64 x -16))))
(exp.f64 (log.f64 (/.f64 -64/29 (+.f64 x -16))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 -64/29 (+.f64 x -16)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 -64/29 (+.f64 x -16)))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x -16) -29/64)) -1))
(log1p.f64 (expm1.f64 (/.f64 -64/29 (+.f64 x -16))))
Outputs
4/29
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (+.f64 (*.f64 1/1856 (pow.f64 x 2)) (*.f64 1/116 x)))
(+.f64 4/29 (fma.f64 1/1856 (pow.f64 x 2) (*.f64 1/116 x)))
(+.f64 (fma.f64 1/116 x 4/29) (*.f64 1/1856 (pow.f64 x 2)))
(fma.f64 1/116 x (fma.f64 1/1856 (pow.f64 x 2) 4/29))
(+.f64 4/29 (+.f64 (*.f64 1/29696 (pow.f64 x 3)) (+.f64 (*.f64 1/1856 (pow.f64 x 2)) (*.f64 1/116 x))))
(+.f64 4/29 (fma.f64 1/29696 (pow.f64 x 3) (fma.f64 1/1856 (pow.f64 x 2) (*.f64 1/116 x))))
(+.f64 (fma.f64 1/29696 (pow.f64 x 3) (*.f64 1/1856 (pow.f64 x 2))) (fma.f64 1/116 x 4/29))
(fma.f64 1/29696 (pow.f64 x 3) (fma.f64 1/116 x (fma.f64 1/1856 (pow.f64 x 2) 4/29)))
(/.f64 -64/29 x)
(neg.f64 (+.f64 (*.f64 64/29 (/.f64 1 x)) (*.f64 1024/29 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 64/29 x) (/.f64 1024/29 (pow.f64 x 2))))
(-.f64 (/.f64 -1024/29 (pow.f64 x 2)) (/.f64 64/29 x))
(+.f64 (/.f64 -64/29 x) (/.f64 -1024/29 (pow.f64 x 2)))
(neg.f64 (+.f64 (*.f64 1024/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 16384/29 (/.f64 1 (pow.f64 x 3))) (*.f64 64/29 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 1024/29 (pow.f64 x 2)) (+.f64 (/.f64 64/29 x) (/.f64 16384/29 (pow.f64 x 3)))))
(-.f64 (/.f64 -1024/29 (pow.f64 x 2)) (+.f64 (/.f64 64/29 x) (/.f64 16384/29 (pow.f64 x 3))))
(+.f64 (/.f64 -1024/29 (pow.f64 x 2)) (+.f64 (/.f64 -64/29 x) (/.f64 -16384/29 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -64/29 x) (/.f64 -1024/29 (pow.f64 x 2))) (/.f64 -16384/29 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 1024/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 16384/29 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 262144/29 (/.f64 1 (pow.f64 x 4))) (*.f64 64/29 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 1024/29 (pow.f64 x 2)) (+.f64 (/.f64 16384/29 (pow.f64 x 3)) (+.f64 (/.f64 64/29 x) (/.f64 262144/29 (pow.f64 x 4))))))
(-.f64 (/.f64 -1024/29 (pow.f64 x 2)) (+.f64 (/.f64 64/29 x) (+.f64 (/.f64 16384/29 (pow.f64 x 3)) (/.f64 262144/29 (pow.f64 x 4)))))
(-.f64 (/.f64 -16384/29 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 64/29 x) (/.f64 1024/29 (pow.f64 x 2))) (/.f64 262144/29 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -64/29 x) (/.f64 -1024/29 (pow.f64 x 2))) (+.f64 (/.f64 -16384/29 (pow.f64 x 3)) (/.f64 -262144/29 (pow.f64 x 4))))
(/.f64 -64/29 x)
(neg.f64 (+.f64 (*.f64 64/29 (/.f64 1 x)) (*.f64 1024/29 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 64/29 x) (/.f64 1024/29 (pow.f64 x 2))))
(-.f64 (/.f64 -1024/29 (pow.f64 x 2)) (/.f64 64/29 x))
(+.f64 (/.f64 -64/29 x) (/.f64 -1024/29 (pow.f64 x 2)))
(neg.f64 (+.f64 (*.f64 1024/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 16384/29 (/.f64 1 (pow.f64 x 3))) (*.f64 64/29 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 1024/29 (pow.f64 x 2)) (+.f64 (/.f64 64/29 x) (/.f64 16384/29 (pow.f64 x 3)))))
(-.f64 (/.f64 -1024/29 (pow.f64 x 2)) (+.f64 (/.f64 64/29 x) (/.f64 16384/29 (pow.f64 x 3))))
(+.f64 (/.f64 -1024/29 (pow.f64 x 2)) (+.f64 (/.f64 -64/29 x) (/.f64 -16384/29 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -64/29 x) (/.f64 -1024/29 (pow.f64 x 2))) (/.f64 -16384/29 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 1024/29 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 16384/29 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 262144/29 (/.f64 1 (pow.f64 x 4))) (*.f64 64/29 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 1024/29 (pow.f64 x 2)) (+.f64 (/.f64 16384/29 (pow.f64 x 3)) (+.f64 (/.f64 64/29 x) (/.f64 262144/29 (pow.f64 x 4))))))
(-.f64 (/.f64 -1024/29 (pow.f64 x 2)) (+.f64 (/.f64 64/29 x) (+.f64 (/.f64 16384/29 (pow.f64 x 3)) (/.f64 262144/29 (pow.f64 x 4)))))
(-.f64 (/.f64 -16384/29 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 64/29 x) (/.f64 1024/29 (pow.f64 x 2))) (/.f64 262144/29 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -64/29 x) (/.f64 -1024/29 (pow.f64 x 2))) (+.f64 (/.f64 -16384/29 (pow.f64 x 3)) (/.f64 -262144/29 (pow.f64 x 4))))
(+.f64 0 (/.f64 -64/29 (+.f64 x -16)))
(/.f64 -64/29 (+.f64 x -16))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -64/29 (+.f64 x -16)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -64/29 (+.f64 x -16))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -64/29 (+.f64 x -16))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -64/29 (+.f64 x -16))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -64/29 (+.f64 x -16))))))
(/.f64 -64/29 (+.f64 x -16))
(-.f64 (+.f64 1 (/.f64 -64/29 (+.f64 x -16))) 1)
(/.f64 -64/29 (+.f64 x -16))
(*.f64 -64/29 (/.f64 1 (+.f64 x -16)))
(/.f64 -64/29 (+.f64 x -16))
(*.f64 (/.f64 -64/29 (+.f64 x -16)) 1)
(/.f64 -64/29 (+.f64 x -16))
(*.f64 (/.f64 -64/29 (+.f64 x -16)) (log.f64 (E.f64)))
(/.f64 -64/29 (+.f64 x -16))
(*.f64 1 (/.f64 -64/29 (+.f64 x -16)))
(/.f64 -64/29 (+.f64 x -16))
(*.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16))) (pow.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16))) 2))
(/.f64 -64/29 (+.f64 x -16))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16))) 2) (cbrt.f64 (/.f64 -64/29 (+.f64 x -16))))
(/.f64 -64/29 (+.f64 x -16))
(*.f64 (sqrt.f64 (/.f64 -64/29 (+.f64 x -16))) (sqrt.f64 (/.f64 -64/29 (+.f64 x -16))))
(/.f64 -64/29 (+.f64 x -16))
(*.f64 64/29 (/.f64 1 (+.f64 16 (neg.f64 x))))
(/.f64 64/29 (-.f64 16 x))
(*.f64 (/.f64 1 (+.f64 x -16)) -64/29)
(/.f64 -64/29 (+.f64 x -16))
(*.f64 (/.f64 1 (+.f64 x -16)) (log.f64 (exp.f64 -64/29)))
(/.f64 -64/29 (+.f64 x -16))
(*.f64 (/.f64 -64/29 (+.f64 (pow.f64 x 3) -4096)) (-.f64 (fma.f64 x x 256) (*.f64 x -16)))
(*.f64 (/.f64 -64/29 (+.f64 (pow.f64 x 3) -4096)) (+.f64 (fma.f64 x x 256) (*.f64 x 16)))
(/.f64 (fma.f64 x 16 (fma.f64 x x 256)) (/.f64 (+.f64 (pow.f64 x 3) -4096) -64/29))
(/.f64 (+.f64 256 (*.f64 x (-.f64 x -16))) (/.f64 (+.f64 (pow.f64 x 3) -4096) -64/29))
(*.f64 (/.f64 -64/29 (fma.f64 x x -256)) (+.f64 x 16))
(/.f64 (fma.f64 x -64/29 -1024/29) (fma.f64 x x -256))
(*.f64 (pow.f64 1 1/3) (/.f64 -64/29 (+.f64 x -16)))
(/.f64 -64/29 (+.f64 x -16))
(*.f64 (pow.f64 (cbrt.f64 -64/29) 3) (/.f64 1 (+.f64 x -16)))
(/.f64 -64/29 (+.f64 x -16))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16)))) 3))
(/.f64 -64/29 (+.f64 x -16))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 -64/29 (+.f64 x -16)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 -64/29 (+.f64 x -16)) 3)) 1/3))
(/.f64 -64/29 (+.f64 x -16))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 x -16) -2) 4096/841) -64/29) 1/3) (/.f64 1 (cbrt.f64 (+.f64 x -16))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x -16) -2) -262144/24389)) (/.f64 1 (cbrt.f64 (+.f64 x -16))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x -16) -2) -262144/24389)) (cbrt.f64 (+.f64 x -16)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 -64/29 (+.f64 x -16)) (cbrt.f64 (/.f64 -64/29 (+.f64 x -16)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 -64/29 (+.f64 x -16)) (cbrt.f64 (/.f64 -64/29 (+.f64 x -16)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16))) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16))) 8)) (cbrt.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 -64/29 (+.f64 x -16)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 -64/29 (+.f64 x -16)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -64/29 (+.f64 x -16)) 5/2)) (cbrt.f64 (sqrt.f64 (/.f64 -64/29 (+.f64 x -16)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -64/29 (+.f64 x -16)) 5/2)) (cbrt.f64 (pow.f64 (fma.f64 x -29/64 29/4) -1/2)))
(*.f64 (pow.f64 (sqrt.f64 -64/29) 2) (/.f64 1 (+.f64 x -16)))
(/.f64 -64/29 (+.f64 x -16))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -16) -29/64)) 2) -1) (cbrt.f64 (/.f64 -64/29 (+.f64 x -16))))
(*.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -16) -29/64)) 2)))
(*.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (*.f64 -29/64 x) 29/4)) 2)))
(/.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16))) (pow.f64 (cbrt.f64 (fma.f64 x -29/64 29/4)) 2))
(*.f64 (exp.f64 (log.f64 -64/29)) (/.f64 1 (+.f64 x -16)))
(/.f64 -64/29 (+.f64 x -16))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 -64/29 (+.f64 x -16)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 -64/29 (+.f64 x -16)) 3))))
(/.f64 -64/29 (+.f64 x -16))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (+.f64 x -16) -2) 4096/841) -64/29)) (/.f64 1 (cbrt.f64 (+.f64 x -16))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x -16) -2) -262144/24389)) (/.f64 1 (cbrt.f64 (+.f64 x -16))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x -16) -2) -262144/24389)) (cbrt.f64 (+.f64 x -16)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 -64/29 (+.f64 x -16)) (cbrt.f64 (/.f64 -64/29 (+.f64 x -16)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16))) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16))) 8)) (cbrt.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -64/29 (+.f64 x -16)) 5/2)) (cbrt.f64 (sqrt.f64 (/.f64 -64/29 (+.f64 x -16)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -64/29 (+.f64 x -16)) 5/2)) (cbrt.f64 (pow.f64 (fma.f64 x -29/64 29/4) -1/2)))
(pow.f64 (/.f64 -64/29 (+.f64 x -16)) 1)
(/.f64 -64/29 (+.f64 x -16))
(pow.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16))) 3)
(/.f64 -64/29 (+.f64 x -16))
(pow.f64 (*.f64 (pow.f64 (+.f64 x -16) -2) 4096/841) 1/2)
(/.f64 -64/29 (+.f64 x -16))
(pow.f64 (pow.f64 (/.f64 -64/29 (+.f64 x -16)) 3) 1/3)
(/.f64 -64/29 (+.f64 x -16))
(pow.f64 (sqrt.f64 (/.f64 -64/29 (+.f64 x -16))) 2)
(/.f64 -64/29 (+.f64 x -16))
(pow.f64 (*.f64 (+.f64 x -16) -29/64) -1)
(/.f64 -64/29 (+.f64 x -16))
(pow.f64 (E.f64) (log.f64 (/.f64 -64/29 (+.f64 x -16))))
(/.f64 -64/29 (+.f64 x -16))
(pow.f64 (/.f64 (*.f64 (+.f64 x -16) -29/64) 1) -1)
(/.f64 -64/29 (+.f64 x -16))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -64/29 (+.f64 x -16))) 2))) (cbrt.f64 (log.f64 (/.f64 -64/29 (+.f64 x -16)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -64/29 (+.f64 x -16))))) (sqrt.f64 (log.f64 (/.f64 -64/29 (+.f64 x -16)))))
(/.f64 -64/29 (+.f64 x -16))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x -16) -2) 4096/841))
(/.f64 -64/29 (+.f64 x -16))
(log.f64 (exp.f64 (/.f64 -64/29 (+.f64 x -16))))
(/.f64 -64/29 (+.f64 x -16))
(cbrt.f64 (pow.f64 (/.f64 -64/29 (+.f64 x -16)) 3))
(/.f64 -64/29 (+.f64 x -16))
(expm1.f64 (log1p.f64 (/.f64 -64/29 (+.f64 x -16))))
(/.f64 -64/29 (+.f64 x -16))
(exp.f64 (log.f64 (/.f64 -64/29 (+.f64 x -16))))
(/.f64 -64/29 (+.f64 x -16))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16)))) 3))
(/.f64 -64/29 (+.f64 x -16))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 -64/29 (+.f64 x -16)) 3)) 1/3))
(/.f64 -64/29 (+.f64 x -16))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 -64/29 (+.f64 x -16)))) 2))
(/.f64 -64/29 (+.f64 x -16))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x -16) -29/64)) -1))
(/.f64 -64/29 (+.f64 x -16))
(log1p.f64 (expm1.f64 (/.f64 -64/29 (+.f64 x -16))))
(/.f64 -64/29 (+.f64 x -16))

eval30.0ms (1.2%)

Compiler

Compiled 1144 to 970 computations (15.2% saved)

prune13.0ms (0.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New91091
Fresh011
Picked011
Done022
Total91495
Accuracy
100.0%
Counts
95 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x 16) 116)
52.5%
(/.f64 -64/29 (+.f64 x -16))
48.3%
(*.f64 1/116 x)
52.8%
4/29
100.0%
(/.f64 (+.f64 x 16) 116)
52.5%
(/.f64 -64/29 (+.f64 x -16))
48.3%
(*.f64 1/116 x)
52.8%
4/29
Compiler

Compiled 36 to 30 computations (16.7% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done033
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x 16) 116)
52.5%
(/.f64 -64/29 (+.f64 x -16))
48.3%
(*.f64 1/116 x)
52.8%
4/29
Compiler

Compiled 43 to 34 computations (20.9% saved)

regimes14.0ms (0.6%)

Counts
5 → 1
Calls
Call 1
Inputs
4/29
(*.f64 1/116 x)
(/.f64 -64/29 (+.f64 x -16))
(/.f64 (+.f64 x 16) 116)
(/.f64 (*.f64 1/116 (fma.f64 x x -256)) (+.f64 x -16))
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 37 to 28 computations (24.3% saved)

regimes11.0ms (0.5%)

Counts
3 → 3
Calls
Call 1
Inputs
4/29
(*.f64 1/116 x)
(/.f64 -64/29 (+.f64 x -16))
Outputs
(*.f64 1/116 x)
(/.f64 -64/29 (+.f64 x -16))
(*.f64 1/116 x)
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
98.1%3x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.4%)

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
97.5%3x
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes4.0ms (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:

3.0ms
x
Results
AccuracySegmentsBranch
52.8%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch27.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
0.010828208075382038
136944.91979260088
13.0ms
-1823.9683026091689
-1.4408968230831563e-5
Results
23.0ms288×body256valid
Compiler

Compiled 226 to 188 computations (16.8% saved)

bsearch29.0ms (1.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
0.010828208075382038
136944.91979260088
14.0ms
-1823.9683026091689
-1.4408968230831563e-5
Results
25.0ms288×body256valid
Compiler

Compiled 154 to 134 computations (13% saved)

simplify4.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
027116
138116
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x 16) 116)
(if (<=.f64 x -16) (*.f64 1/116 x) (if (<=.f64 x 3433994715870003/281474976710656) (/.f64 -64/29 (+.f64 x -16)) (*.f64 1/116 x)))
(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 3433994715870003/281474976710656) (/.f64 -64/29 (+.f64 x -16)) (*.f64 1/116 x)))
(if (or (<=.f64 x -16) (not (<=.f64 x 3433994715870003/281474976710656))) (*.f64 x 1/116) (/.f64 -64/29 (+.f64 x -16)))
(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 40 to 32 computations (20% saved)

soundness188.0ms (7.8%)

Rules
850×log-prod
788×times-frac
772×fma-def
754×distribute-lft-in
728×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
18916
2113316
01691507
13831175
210861153
349331153
Stop Event
node limit
node limit
Compiler

Compiled 231 to 181 computations (21.6% saved)

end0.0ms (0%)

preprocess40.0ms (1.7%)

Compiler

Compiled 86 to 68 computations (20.9% saved)

Profiling

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