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

Time bar (total: 1.6s)

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)

sample677.0ms (42.8%)

Results
664.0ms8256×body256valid
Bogosity

preprocess20.0ms (1.3%)

Algorithm
egg-herbie
Rules
36×fma-def
30×sub-neg
22×div-sub
20×+-commutative
12×*-commutative
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01143
11739
22539
34139
45639
58339
612639
715635
817235
917535
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 6 to 5 computations (16.7% 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 116) -4/29)
100.0%
(/.f64 (+.f64 x 16) 116)
100.0%
(-.f64 (/.f64 x 116) -4/29)
Compiler

Compiled 24 to 20 computations (16.7% saved)

localize32.0ms (2%)

Localize:

Found 2 expressions with local error:

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

Compiled 24 to 18 computations (25% saved)

series1.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite72.0ms (4.5%)

Algorithm
batch-egg-rewrite
Rules
1258×unpow-prod-down
938×log-prod
554×pow-prod-down
438×pow-prod-up
434×pow-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01026
123822
2304422
Stop Event
node limit
Counts
2 → 118
Calls
Call 1
Inputs
(-.f64 (/.f64 x 116) -4/29)
(/.f64 (+.f64 x 16) 116)
Outputs
(+.f64 (*.f64 x 1/116) 4/29)
(+.f64 4/29 (*.f64 x 1/116))
(+.f64 0 (fma.f64 x 1/116 4/29))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29))) (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))))
(*.f64 (fma.f64 x 1/116 4/29) 1)
(*.f64 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 (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 1/116 4/29))) 2))
(*.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) (sqrt.f64 (fma.f64 x 1/116 4/29)))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (/.f64 1 (fma.f64 (*.f64 x x) 1/13456 (fma.f64 x -1/841 16/841))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (pow.f64 (/.f64 1 (fma.f64 (*.f64 x x) 1/13456 (fma.f64 x -1/841 16/841))) 1))
(*.f64 (fma.f64 (*.f64 x x) 1/13456 -16/841) (/.f64 1 (fma.f64 x 1/116 -4/29)))
(*.f64 (fma.f64 (*.f64 x x) 1/13456 -16/841) (pow.f64 (/.f64 1 (fma.f64 x 1/116 -4/29)) 1))
(*.f64 (pow.f64 1 1/3) (fma.f64 x 1/116 4/29))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 1/116 4/29))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 1/116 4/29))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) (cbrt.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) 3))
(*.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 (pow.f64 (fma.f64 x 1/116 4/29) 3/2) 1/3) (pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3/2) 1/3))
(*.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) (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 1/3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 5/2) 1/3) (pow.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x 1/116 4/29))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x 1/116 4/29))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) 2))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x x) 1/13456 (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)))
(/.f64 1 (/.f64 (fma.f64 x 1/116 -4/29) (fma.f64 (*.f64 x x) 1/13456 -16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 (*.f64 x x) 1/13456 (fma.f64 x -1/841 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 (*.f64 x x) 1/13456 (-.f64 16/841 (*.f64 (*.f64 x 1/116) 4/29))))
(/.f64 (fma.f64 (*.f64 x x) 1/13456 -16/841) (fma.f64 x 1/116 -4/29))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)) (neg.f64 (fma.f64 (*.f64 x x) 1/13456 (fma.f64 x -1/841 16/841))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) 1/13456 -16/841)) (neg.f64 (fma.f64 x 1/116 -4/29)))
(pow.f64 (fma.f64 x 1/116 4/29) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) 1/13456 (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)) -1)
(pow.f64 (/.f64 (fma.f64 x 1/116 -4/29) (fma.f64 (*.f64 x x) 1/13456 -16/841)) -1)
(sqrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 2))
(log.f64 (exp.f64 (fma.f64 x 1/116 4/29)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/116 4/29))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/116 4/29)))
(exp.f64 (log.f64 (fma.f64 x 1/116 4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/116 4/29)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x 1/116 4/29)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) 3))
(exp.f64 (*.f64 (*.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)))
(fma.f64 x 1/116 4/29)
(fma.f64 (*.f64 x 1/116) 1 4/29)
(fma.f64 1 (*.f64 x 1/116) 4/29)
(fma.f64 (cbrt.f64 (*.f64 x 1/116)) (cbrt.f64 (*.f64 (*.f64 x x) 1/13456)) 4/29)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/13456)) (cbrt.f64 (*.f64 x 1/116)) 4/29)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/116) 4/29)
(fma.f64 (sqrt.f64 (*.f64 x 1/116)) (sqrt.f64 (*.f64 x 1/116)) 4/29)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/116) 4/29)
(fma.f64 (neg.f64 x) -1/116 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 0 (*.f64 (+.f64 x 16) 1/116))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116)))) (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 (exp.f64 (log1p.f64 (*.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 (+.f64 x 16) 1/116) 1)
(*.f64 1 (*.f64 (+.f64 x 16) 1/116))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (*.f64 (cbrt.f64 (+.f64 x 16)) 1/116))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (pow.f64 (*.f64 (cbrt.f64 (+.f64 x 16)) 1/116) 1))
(*.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 (+.f64 x 16) 1/116)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2))
(*.f64 (sqrt.f64 (+.f64 x 16)) (*.f64 (sqrt.f64 (+.f64 x 16)) 1/116))
(*.f64 (sqrt.f64 (+.f64 x 16)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 x 16)) 1/116) 1))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(*.f64 (fma.f64 -1 x -16) -1/116)
(*.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 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3))
(*.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 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3/2) 1/3))
(*.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 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 2) (+.f64 x 16)) 1/3) (pow.f64 1/116 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x 16) 1/116) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2) 1/3) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 5/2) 1/3) (pow.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) (cbrt.f64 (/.f64 116 (+.f64 x 16)))) -1) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(*.f64 (pow.f64 (/.f64 116 (+.f64 4096 (pow.f64 x 3))) -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 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 2) 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 (/.f64 (/.f64 116 (+.f64 x 16)) 1) -1)
(neg.f64 (/.f64 (+.f64 x 16) -116))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 16) 1/116))))
(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 (*.f64 (+.f64 x 16) 1/116)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 x 16) 1/116))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 116 (+.f64 x 16))) -1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 16) 1/116)))

simplify84.0ms (5.3%)

Algorithm
egg-herbie
Rules
1082×log-prod
892×distribute-lft-in
852×distribute-rgt-in
852×fma-def
576×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03262410
17742258
219082182
368702118
Stop Event
node limit
Counts
142 → 148
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 (*.f64 x 1/116) 4/29)
(+.f64 4/29 (*.f64 x 1/116))
(+.f64 0 (fma.f64 x 1/116 4/29))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29))) (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))))
(*.f64 (fma.f64 x 1/116 4/29) 1)
(*.f64 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 (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 1/116 4/29))) 2))
(*.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) (sqrt.f64 (fma.f64 x 1/116 4/29)))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (/.f64 1 (fma.f64 (*.f64 x x) 1/13456 (fma.f64 x -1/841 16/841))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (pow.f64 (/.f64 1 (fma.f64 (*.f64 x x) 1/13456 (fma.f64 x -1/841 16/841))) 1))
(*.f64 (fma.f64 (*.f64 x x) 1/13456 -16/841) (/.f64 1 (fma.f64 x 1/116 -4/29)))
(*.f64 (fma.f64 (*.f64 x x) 1/13456 -16/841) (pow.f64 (/.f64 1 (fma.f64 x 1/116 -4/29)) 1))
(*.f64 (pow.f64 1 1/3) (fma.f64 x 1/116 4/29))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 1/116 4/29))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 1/116 4/29))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) (cbrt.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) 3))
(*.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 (pow.f64 (fma.f64 x 1/116 4/29) 3/2) 1/3) (pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3/2) 1/3))
(*.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) (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 1/3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 5/2) 1/3) (pow.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x 1/116 4/29))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x 1/116 4/29))) 2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) 2))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x x) 1/13456 (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)))
(/.f64 1 (/.f64 (fma.f64 x 1/116 -4/29) (fma.f64 (*.f64 x x) 1/13456 -16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 (*.f64 x x) 1/13456 (fma.f64 x -1/841 16/841)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 (*.f64 x x) 1/13456 (-.f64 16/841 (*.f64 (*.f64 x 1/116) 4/29))))
(/.f64 (fma.f64 (*.f64 x x) 1/13456 -16/841) (fma.f64 x 1/116 -4/29))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)) (neg.f64 (fma.f64 (*.f64 x x) 1/13456 (fma.f64 x -1/841 16/841))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) 1/13456 -16/841)) (neg.f64 (fma.f64 x 1/116 -4/29)))
(pow.f64 (fma.f64 x 1/116 4/29) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) 1/13456 (fma.f64 x -1/841 16/841)) (fma.f64 (pow.f64 x 3) 1/1560896 64/24389)) -1)
(pow.f64 (/.f64 (fma.f64 x 1/116 -4/29) (fma.f64 (*.f64 x x) 1/13456 -16/841)) -1)
(sqrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 2))
(log.f64 (exp.f64 (fma.f64 x 1/116 4/29)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/116 4/29))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/116 4/29)))
(exp.f64 (log.f64 (fma.f64 x 1/116 4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/116 4/29)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x 1/116 4/29)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) 3))
(exp.f64 (*.f64 (*.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)))
(fma.f64 x 1/116 4/29)
(fma.f64 (*.f64 x 1/116) 1 4/29)
(fma.f64 1 (*.f64 x 1/116) 4/29)
(fma.f64 (cbrt.f64 (*.f64 x 1/116)) (cbrt.f64 (*.f64 (*.f64 x x) 1/13456)) 4/29)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/13456)) (cbrt.f64 (*.f64 x 1/116)) 4/29)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/116) 4/29)
(fma.f64 (sqrt.f64 (*.f64 x 1/116)) (sqrt.f64 (*.f64 x 1/116)) 4/29)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/116) 4/29)
(fma.f64 (neg.f64 x) -1/116 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 0 (*.f64 (+.f64 x 16) 1/116))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116)))) (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 (exp.f64 (log1p.f64 (*.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 (+.f64 x 16) 1/116) 1)
(*.f64 1 (*.f64 (+.f64 x 16) 1/116))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (*.f64 (cbrt.f64 (+.f64 x 16)) 1/116))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (pow.f64 (*.f64 (cbrt.f64 (+.f64 x 16)) 1/116) 1))
(*.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 (+.f64 x 16) 1/116)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2))
(*.f64 (sqrt.f64 (+.f64 x 16)) (*.f64 (sqrt.f64 (+.f64 x 16)) 1/116))
(*.f64 (sqrt.f64 (+.f64 x 16)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 x 16)) 1/116) 1))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(*.f64 (fma.f64 -1 x -16) -1/116)
(*.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 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3))
(*.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 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3/2) 1/3))
(*.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 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 2) (+.f64 x 16)) 1/3) (pow.f64 1/116 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x 16) 1/116) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2) 1/3) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 5/2) 1/3) (pow.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) (cbrt.f64 (/.f64 116 (+.f64 x 16)))) -1) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(*.f64 (pow.f64 (/.f64 116 (+.f64 4096 (pow.f64 x 3))) -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 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 2) 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 (/.f64 (/.f64 116 (+.f64 x 16)) 1) -1)
(neg.f64 (/.f64 (+.f64 x 16) -116))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 16) 1/116))))
(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 (*.f64 (+.f64 x 16) 1/116)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 x 16) 1/116))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 116 (+.f64 x 16))) -1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 16) 1/116)))
Outputs
4/29
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
4/29
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 (*.f64 x 1/116) 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 x 1/116))
(fma.f64 1/116 x 4/29)
(+.f64 0 (fma.f64 x 1/116 4/29))
(fma.f64 1/116 x 4/29)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29))) (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 1/116 x 4/29))) (cbrt.f64 (exp.f64 (fma.f64 1/116 x 4/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/116 x 4/29)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/116 x 4/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/116 x 4/29)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/116 x 4/29)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/116 4/29)))))
(fma.f64 1/116 x 4/29)
(*.f64 (fma.f64 x 1/116 4/29) 1)
(fma.f64 1/116 x 4/29)
(*.f64 1 (fma.f64 x 1/116 4/29))
(fma.f64 1/116 x 4/29)
(*.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2))
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2) (cbrt.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 1/116 4/29))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/116 x 4/29))) 2) (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2))
(*.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) (sqrt.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 1/116 x 4/29)
(*.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (/.f64 1 (fma.f64 (*.f64 x x) 1/13456 (fma.f64 x -1/841 16/841))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (pow.f64 (/.f64 1 (fma.f64 (*.f64 x x) 1/13456 (fma.f64 x -1/841 16/841))) 1))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (/.f64 1 (fma.f64 (*.f64 x x) 1/13456 (fma.f64 x -1/841 16/841))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1560896 64/24389) (fma.f64 x (*.f64 x 1/13456) (fma.f64 x -1/841 16/841)))
(*.f64 (fma.f64 (*.f64 x x) 1/13456 -16/841) (/.f64 1 (fma.f64 x 1/116 -4/29)))
(/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (fma.f64 1/116 x -4/29))
(*.f64 (fma.f64 (*.f64 x x) 1/13456 -16/841) (pow.f64 (/.f64 1 (fma.f64 x 1/116 -4/29)) 1))
(*.f64 (fma.f64 (*.f64 x x) 1/13456 -16/841) (/.f64 1 (fma.f64 x 1/116 -4/29)))
(/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (fma.f64 1/116 x -4/29))
(*.f64 (pow.f64 1 1/3) (fma.f64 x 1/116 4/29))
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 1/116 4/29))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 1/116 4/29))) 3))
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) (cbrt.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) 3))
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) 3))
(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 1/116 x 4/29)
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3/2) 1/3) (pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3/2)) (cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3/2)))
(pow.f64 (pow.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3/2) 1/6) 4)
(*.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 (cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3/2)) (cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3/2)))
(pow.f64 (pow.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3/2) 1/6) 4)
(*.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) (pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/116 x 4/29))) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 1/116 x 4/29) (cbrt.f64 (fma.f64 1/116 x 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) (pow.f64 (sqrt.f64 (fma.f64 x 1/116 4/29)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/116 x 4/29))) (cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 5/2)))
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(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x 1/116 4/29))) 1/3))
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(fma.f64 1/116 x 4/29)
(log1p.f64 (expm1.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 1/116 x 4/29)
(fma.f64 x 1/116 4/29)
(fma.f64 1/116 x 4/29)
(fma.f64 (*.f64 x 1/116) 1 4/29)
(fma.f64 1/116 x 4/29)
(fma.f64 1 (*.f64 x 1/116) 4/29)
(fma.f64 1/116 x 4/29)
(fma.f64 (cbrt.f64 (*.f64 x 1/116)) (cbrt.f64 (*.f64 (*.f64 x x) 1/13456)) 4/29)
(fma.f64 (cbrt.f64 (*.f64 1/116 x)) (cbrt.f64 (*.f64 x (*.f64 x 1/13456))) 4/29)
(fma.f64 (cbrt.f64 (*.f64 1/116 x)) (cbrt.f64 (*.f64 (*.f64 x x) 1/13456)) 4/29)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/13456)) (cbrt.f64 (*.f64 x 1/116)) 4/29)
(fma.f64 (cbrt.f64 (*.f64 1/116 x)) (cbrt.f64 (*.f64 x (*.f64 x 1/13456))) 4/29)
(fma.f64 (cbrt.f64 (*.f64 1/116 x)) (cbrt.f64 (*.f64 (*.f64 x x) 1/13456)) 4/29)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/116) 4/29)
(fma.f64 1/116 x 4/29)
(fma.f64 (sqrt.f64 (*.f64 x 1/116)) (sqrt.f64 (*.f64 x 1/116)) 4/29)
(fma.f64 1/116 x 4/29)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/116) 4/29)
(fma.f64 1/116 x 4/29)
(fma.f64 (neg.f64 x) -1/116 4/29)
(fma.f64 1/116 x 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 0 (*.f64 (+.f64 x 16) 1/116))
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(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/116 x 4/29)))))
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(fma.f64 1/116 x 4/29)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116))) 1)
(fma.f64 1/116 x 4/29)
(*.f64 (+.f64 x 16) 1/116)
(fma.f64 1/116 x 4/29)
(*.f64 (+.f64 x 16) (pow.f64 (cbrt.f64 1/116) 3))
(fma.f64 1/116 x 4/29)
(*.f64 (+.f64 x 16) (pow.f64 (sqrt.f64 1/116) 2))
(fma.f64 1/116 x 4/29)
(*.f64 (*.f64 (+.f64 x 16) 1/116) 1)
(fma.f64 1/116 x 4/29)
(*.f64 1 (*.f64 (+.f64 x 16) 1/116))
(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 1/116 x 4/29)
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(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 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)))
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(fma.f64 1/116 x 4/29)
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(*.f64 1/116 (+.f64 x 16))
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(*.f64 1/116 (pow.f64 (/.f64 1 (+.f64 x 16)) -1))
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 x 16) 1/116))
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(fma.f64 1/116 x 4/29)
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(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3))
(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 1/116 x 4/29)
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3/2) 1/3))
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(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2))
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) (cbrt.f64 (/.f64 116 (+.f64 x 16)))) -1) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)))
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(*.f64 (pow.f64 (/.f64 116 (+.f64 4096 (pow.f64 x 3))) -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)))
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(*.f64 (/.f64 1 (/.f64 116 (fma.f64 x x -256))) (/.f64 1 (+.f64 x -16)))
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(/.f64 1/116 (/.f64 (+.f64 x -16) (fma.f64 x x -256)))
(pow.f64 (*.f64 (+.f64 x 16) 1/116) 1)
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(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 3)
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(pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 2) 1/2)
(fma.f64 1/116 x 4/29)
(pow.f64 (*.f64 (pow.f64 (+.f64 x 16) 3) 1/1560896) 1/3)
(fma.f64 1/116 x 4/29)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)
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(pow.f64 (/.f64 116 (+.f64 x 16)) -1)
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(pow.f64 (/.f64 (/.f64 116 (+.f64 x 16)) 1) -1)
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(neg.f64 (/.f64 (+.f64 x 16) -116))
(/.f64 (neg.f64 (+.f64 x 16)) -116)
(/.f64 (fma.f64 -1 x -16) -116)
(/.f64 (-.f64 -16 x) -116)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 2))
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(log.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))
(fma.f64 1/116 x 4/29)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 16) 1/116))))
(fma.f64 1/116 x 4/29)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 3) 1/1560896))
(fma.f64 1/116 x 4/29)
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116)))
(fma.f64 1/116 x 4/29)
(exp.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)) 1))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)) 1) 1))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116))) 3))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 x 16) 1/116))) 1/3))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116))) 2))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (/.f64 116 (+.f64 x 16))) -1))
(fma.f64 1/116 x 4/29)
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 16) 1/116)))
(fma.f64 1/116 x 4/29)

eval46.0ms (2.9%)

Compiler

Compiled 1809 to 1514 computations (16.3% saved)

prune22.0ms (1.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1444148
Fresh000
Picked022
Done000
Total1446150
Accuracy
100.0%
Counts
150 → 6
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)
76.6%
(/.f64 (*.f64 1/116 (fma.f64 x x -256)) (+.f64 x -16))
100.0%
(-.f64 (/.f64 x 116) -4/29)
48.2%
(*.f64 1/116 x)
53.5%
4/29
99.9%
(fma.f64 x 1/116 4/29)
100.0%
(/.f64 (+.f64 x 16) 116)
76.6%
(/.f64 (*.f64 1/116 (fma.f64 x x -256)) (+.f64 x -16))
100.0%
(-.f64 (/.f64 x 116) -4/29)
48.2%
(*.f64 1/116 x)
53.5%
4/29
Compiler

Compiled 68 to 54 computations (20.6% saved)

localize49.0ms (3.1%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
99.9%
(fma.f64 x 1/116 4/29)
99.9%
(*.f64 1/116 (fma.f64 x x -256))
76.7%
(/.f64 (*.f64 1/116 (fma.f64 x x -256)) (+.f64 x -16))
99.8%
(*.f64 1/116 x)
Compiler

Compiled 41 to 28 computations (31.7% saved)

series4.0ms (0.2%)

Counts
4 → 36
Calls

12 calls:

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

rewrite85.0ms (5.4%)

Algorithm
batch-egg-rewrite
Rules
1330×log-prod
758×pow-prod-down
594×pow-prod-up
546×pow-exp
528×expm1-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01458
130244
2375144
Stop Event
node limit
Counts
4 → 131
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))
(fma.f64 x 1/116 4/29)
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 1/13456 (*.f64 x x)) 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 1/13456 (*.f64 x x)))
(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 (*.f64 1/116 (fma.f64 x x -256)) (/.f64 1 (+.f64 x -16)))
(*.f64 (*.f64 1/116 (+.f64 x 16)) 1)
(*.f64 1 (*.f64 1/116 (+.f64 x 16)))
(*.f64 (cbrt.f64 (*.f64 1/116 (+.f64 x 16))) (pow.f64 (cbrt.f64 (*.f64 1/116 (+.f64 x 16))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/116 (+.f64 x 16))) 2) (cbrt.f64 (*.f64 1/116 (+.f64 x 16))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/116 (fma.f64 x x -256))) 2) (*.f64 (cbrt.f64 (*.f64 1/116 (fma.f64 x x -256))) (/.f64 1 (+.f64 x -16))))
(*.f64 (sqrt.f64 (*.f64 1/116 (+.f64 x 16))) (sqrt.f64 (*.f64 1/116 (+.f64 x 16))))
(*.f64 (sqrt.f64 (*.f64 1/116 (fma.f64 x x -256))) (*.f64 (sqrt.f64 (*.f64 1/116 (fma.f64 x x -256))) (/.f64 1 (+.f64 x -16))))
(*.f64 (*.f64 (fma.f64 x x -256) -1/116) (/.f64 1 (neg.f64 (+.f64 x -16))))
(*.f64 (/.f64 1 (+.f64 x -16)) (*.f64 1/116 (fma.f64 x x -256)))
(*.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 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -16)) 2)) (/.f64 (*.f64 1/116 (fma.f64 x x -256)) (cbrt.f64 (+.f64 x -16))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x -16))) (/.f64 (*.f64 1/116 (fma.f64 x x -256)) (sqrt.f64 (+.f64 x -16))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/116 (fma.f64 x x -256))) 2) 1) (/.f64 (cbrt.f64 (*.f64 1/116 (fma.f64 x x -256))) (+.f64 x -16)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/116 (fma.f64 x x -256))) 2) (pow.f64 (cbrt.f64 (+.f64 x -16)) 2)) (cbrt.f64 (*.f64 1/116 (+.f64 x 16))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/116 (fma.f64 x x -256))) 2) (sqrt.f64 (+.f64 x -16))) (/.f64 (cbrt.f64 (*.f64 1/116 (fma.f64 x x -256))) (sqrt.f64 (+.f64 x -16))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 1/116 (fma.f64 x x -256))) 1) (/.f64 (sqrt.f64 (*.f64 1/116 (fma.f64 x x -256))) (+.f64 x -16)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 1/116 (fma.f64 x x -256))) (pow.f64 (cbrt.f64 (+.f64 x -16)) 2)) (/.f64 (sqrt.f64 (*.f64 1/116 (fma.f64 x x -256))) (cbrt.f64 (+.f64 x -16))))
(*.f64 (/.f64 (*.f64 1/116 (fma.f64 x x -256)) (+.f64 -4096 (pow.f64 x 3))) (-.f64 (fma.f64 x x 256) (*.f64 x -16)))
(*.f64 (/.f64 (*.f64 1/116 (fma.f64 x x -256)) (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 (*.f64 1/116 (fma.f64 x x -256)) (neg.f64 (+.f64 x -16))))
(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 (*.f64 1/116 (fma.f64 x x -256)) 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 (*.f64 1/116 (fma.f64 x x -256)))
(+.f64 (*.f64 1/116 (*.f64 x x)) -64/29)
(+.f64 (*.f64 (*.f64 x x) 1/116) -64/29)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) (fma.f64 x x -256))) (cbrt.f64 (pow.f64 (exp.f64 1/116) (fma.f64 x x -256))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) (fma.f64 x x -256)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/116) (fma.f64 x x -256)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/116) (fma.f64 x x -256)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/116 (fma.f64 x x -256)))) 1)
(pow.f64 (*.f64 1/116 (fma.f64 x x -256)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/116 (fma.f64 x x -256))) 3)
(pow.f64 (*.f64 (pow.f64 (fma.f64 x x -256) 2) 1/13456) 1/2)
(pow.f64 (pow.f64 (*.f64 1/116 (fma.f64 x x -256)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/116 (fma.f64 x x -256))) 2)
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -256) 2) 1/13456))
(log.f64 (pow.f64 (exp.f64 1/116) (fma.f64 x x -256)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/116 (fma.f64 x x -256)))))
(cbrt.f64 (pow.f64 (*.f64 1/116 (fma.f64 x x -256)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/116 (fma.f64 x x -256))))
(exp.f64 (log.f64 (*.f64 1/116 (fma.f64 x x -256))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/116 (fma.f64 x x -256))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/116 (fma.f64 x x -256))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/116 (fma.f64 x x -256)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/116 (fma.f64 x x -256)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/116 (fma.f64 x x -256)))) 2))
(log1p.f64 (expm1.f64 (*.f64 1/116 (fma.f64 x x -256))))
(fma.f64 1/116 (*.f64 x x) -64/29)
(fma.f64 (*.f64 x x) 1/116 -64/29)
(+.f64 (*.f64 1/116 x) 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 0 (fma.f64 1/116 x 4/29))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 1/116 x 4/29))) (cbrt.f64 (exp.f64 (fma.f64 1/116 x 4/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/116 x 4/29)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/116 x 4/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/116 x 4/29)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/116 x 4/29))) 1)
(*.f64 (fma.f64 1/116 x 4/29) 1)
(*.f64 1 (fma.f64 1/116 x 4/29))
(*.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2) (cbrt.f64 (fma.f64 1/116 x 4/29)))
(*.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) (sqrt.f64 (fma.f64 1/116 x 4/29)))
(/.f64 (+.f64 (pow.f64 (*.f64 1/116 x) 3) 64/24389) (fma.f64 1/13456 (*.f64 x x) (-.f64 16/841 (*.f64 (*.f64 1/116 x) 4/29))))
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (fma.f64 1/116 x -4/29))
(pow.f64 (fma.f64 1/116 x 4/29) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 3)
(pow.f64 (pow.f64 (fma.f64 1/116 x 4/29) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 2))
(log.f64 (exp.f64 (fma.f64 1/116 x 4/29)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/116 x 4/29))))
(cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/116 x 4/29)))
(exp.f64 (log.f64 (fma.f64 1/116 x 4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/116 x 4/29)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/116 x 4/29)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/116 x 4/29))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/116 x 4/29))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/116 x 4/29))) 2))
(log1p.f64 (expm1.f64 (fma.f64 1/116 x 4/29)))

simplify63.0ms (4%)

Algorithm
egg-herbie
Rules
1802×fma-def
1292×times-frac
1044×unswap-sqr
744×associate-*r/
370×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03262717
17162639
223522503
Stop Event
node limit
Counts
167 → 163
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)
4/29
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 0 (*.f64 1/116 x))
(+.f64 (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 1/13456 (*.f64 x x)) 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 1/13456 (*.f64 x x)))
(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 (*.f64 1/116 (fma.f64 x x -256)) (/.f64 1 (+.f64 x -16)))
(*.f64 (*.f64 1/116 (+.f64 x 16)) 1)
(*.f64 1 (*.f64 1/116 (+.f64 x 16)))
(*.f64 (cbrt.f64 (*.f64 1/116 (+.f64 x 16))) (pow.f64 (cbrt.f64 (*.f64 1/116 (+.f64 x 16))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/116 (+.f64 x 16))) 2) (cbrt.f64 (*.f64 1/116 (+.f64 x 16))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/116 (fma.f64 x x -256))) 2) (*.f64 (cbrt.f64 (*.f64 1/116 (fma.f64 x x -256))) (/.f64 1 (+.f64 x -16))))
(*.f64 (sqrt.f64 (*.f64 1/116 (+.f64 x 16))) (sqrt.f64 (*.f64 1/116 (+.f64 x 16))))
(*.f64 (sqrt.f64 (*.f64 1/116 (fma.f64 x x -256))) (*.f64 (sqrt.f64 (*.f64 1/116 (fma.f64 x x -256))) (/.f64 1 (+.f64 x -16))))
(*.f64 (*.f64 (fma.f64 x x -256) -1/116) (/.f64 1 (neg.f64 (+.f64 x -16))))
(*.f64 (/.f64 1 (+.f64 x -16)) (*.f64 1/116 (fma.f64 x x -256)))
(*.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 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -16)) 2)) (/.f64 (*.f64 1/116 (fma.f64 x x -256)) (cbrt.f64 (+.f64 x -16))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x -16))) (/.f64 (*.f64 1/116 (fma.f64 x x -256)) (sqrt.f64 (+.f64 x -16))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/116 (fma.f64 x x -256))) 2) 1) (/.f64 (cbrt.f64 (*.f64 1/116 (fma.f64 x x -256))) (+.f64 x -16)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/116 (fma.f64 x x -256))) 2) (pow.f64 (cbrt.f64 (+.f64 x -16)) 2)) (cbrt.f64 (*.f64 1/116 (+.f64 x 16))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/116 (fma.f64 x x -256))) 2) (sqrt.f64 (+.f64 x -16))) (/.f64 (cbrt.f64 (*.f64 1/116 (fma.f64 x x -256))) (sqrt.f64 (+.f64 x -16))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 1/116 (fma.f64 x x -256))) 1) (/.f64 (sqrt.f64 (*.f64 1/116 (fma.f64 x x -256))) (+.f64 x -16)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 1/116 (fma.f64 x x -256))) (pow.f64 (cbrt.f64 (+.f64 x -16)) 2)) (/.f64 (sqrt.f64 (*.f64 1/116 (fma.f64 x x -256))) (cbrt.f64 (+.f64 x -16))))
(*.f64 (/.f64 (*.f64 1/116 (fma.f64 x x -256)) (+.f64 -4096 (pow.f64 x 3))) (-.f64 (fma.f64 x x 256) (*.f64 x -16)))
(*.f64 (/.f64 (*.f64 1/116 (fma.f64 x x -256)) (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 (*.f64 1/116 (fma.f64 x x -256)) (neg.f64 (+.f64 x -16))))
(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 (*.f64 1/116 (fma.f64 x x -256)) 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 (*.f64 1/116 (fma.f64 x x -256)))
(+.f64 (*.f64 1/116 (*.f64 x x)) -64/29)
(+.f64 (*.f64 (*.f64 x x) 1/116) -64/29)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) (fma.f64 x x -256))) (cbrt.f64 (pow.f64 (exp.f64 1/116) (fma.f64 x x -256))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/116) (fma.f64 x x -256)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/116) (fma.f64 x x -256)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/116) (fma.f64 x x -256)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/116 (fma.f64 x x -256)))) 1)
(pow.f64 (*.f64 1/116 (fma.f64 x x -256)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/116 (fma.f64 x x -256))) 3)
(pow.f64 (*.f64 (pow.f64 (fma.f64 x x -256) 2) 1/13456) 1/2)
(pow.f64 (pow.f64 (*.f64 1/116 (fma.f64 x x -256)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/116 (fma.f64 x x -256))) 2)
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -256) 2) 1/13456))
(log.f64 (pow.f64 (exp.f64 1/116) (fma.f64 x x -256)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/116 (fma.f64 x x -256)))))
(cbrt.f64 (pow.f64 (*.f64 1/116 (fma.f64 x x -256)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/116 (fma.f64 x x -256))))
(exp.f64 (log.f64 (*.f64 1/116 (fma.f64 x x -256))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/116 (fma.f64 x x -256))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/116 (fma.f64 x x -256))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/116 (fma.f64 x x -256)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/116 (fma.f64 x x -256)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/116 (fma.f64 x x -256)))) 2))
(log1p.f64 (expm1.f64 (*.f64 1/116 (fma.f64 x x -256))))
(fma.f64 1/116 (*.f64 x x) -64/29)
(fma.f64 (*.f64 x x) 1/116 -64/29)
(+.f64 (*.f64 1/116 x) 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 0 (fma.f64 1/116 x 4/29))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 1/116 x 4/29))) (cbrt.f64 (exp.f64 (fma.f64 1/116 x 4/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/116 x 4/29)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/116 x 4/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/116 x 4/29)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/116 x 4/29))) 1)
(*.f64 (fma.f64 1/116 x 4/29) 1)
(*.f64 1 (fma.f64 1/116 x 4/29))
(*.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2) (cbrt.f64 (fma.f64 1/116 x 4/29)))
(*.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) (sqrt.f64 (fma.f64 1/116 x 4/29)))
(/.f64 (+.f64 (pow.f64 (*.f64 1/116 x) 3) 64/24389) (fma.f64 1/13456 (*.f64 x x) (-.f64 16/841 (*.f64 (*.f64 1/116 x) 4/29))))
(/.f64 (fma.f64 1/13456 (*.f64 x x) -16/841) (fma.f64 1/116 x -4/29))
(pow.f64 (fma.f64 1/116 x 4/29) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 3)
(pow.f64 (pow.f64 (fma.f64 1/116 x 4/29) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 2))
(log.f64 (exp.f64 (fma.f64 1/116 x 4/29)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/116 x 4/29))))
(cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/116 x 4/29)))
(exp.f64 (log.f64 (fma.f64 1/116 x 4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/116 x 4/29)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/116 x 4/29)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/116 x 4/29))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/116 x 4/29))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/116 x 4/29))) 2))
(log1p.f64 (expm1.f64 (fma.f64 1/116 x 4/29)))
Outputs
4/29
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
-64/29
(-.f64 (*.f64 1/116 (pow.f64 x 2)) 64/29)
(fma.f64 1/116 (*.f64 x x) -64/29)
(*.f64 1/116 (fma.f64 x x -256))
(-.f64 (*.f64 1/116 (pow.f64 x 2)) 64/29)
(fma.f64 1/116 (*.f64 x x) -64/29)
(*.f64 1/116 (fma.f64 x x -256))
(-.f64 (*.f64 1/116 (pow.f64 x 2)) 64/29)
(fma.f64 1/116 (*.f64 x x) -64/29)
(*.f64 1/116 (fma.f64 x x -256))
(*.f64 1/116 (pow.f64 x 2))
(*.f64 1/116 (*.f64 x x))
(-.f64 (*.f64 1/116 (pow.f64 x 2)) 64/29)
(fma.f64 1/116 (*.f64 x x) -64/29)
(*.f64 1/116 (fma.f64 x x -256))
(-.f64 (*.f64 1/116 (pow.f64 x 2)) 64/29)
(fma.f64 1/116 (*.f64 x x) -64/29)
(*.f64 1/116 (fma.f64 x x -256))
(-.f64 (*.f64 1/116 (pow.f64 x 2)) 64/29)
(fma.f64 1/116 (*.f64 x x) -64/29)
(*.f64 1/116 (fma.f64 x x -256))
(*.f64 1/116 (pow.f64 x 2))
(*.f64 1/116 (*.f64 x x))
(-.f64 (*.f64 1/116 (pow.f64 x 2)) 64/29)
(fma.f64 1/116 (*.f64 x x) -64/29)
(*.f64 1/116 (fma.f64 x x -256))
(-.f64 (*.f64 1/116 (pow.f64 x 2)) 64/29)
(fma.f64 1/116 (*.f64 x x) -64/29)
(*.f64 1/116 (fma.f64 x x -256))
(-.f64 (*.f64 1/116 (pow.f64 x 2)) 64/29)
(fma.f64 1/116 (*.f64 x x) -64/29)
(*.f64 1/116 (fma.f64 x x -256))
4/29
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 0 (*.f64 1/116 x))
(*.f64 1/116 x)
(+.f64 (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 1/13456 (*.f64 x x)) 1/2)
(sqrt.f64 (*.f64 1/13456 (*.f64 x x)))
(sqrt.f64 (*.f64 x (*.f64 x 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 1/13456 (*.f64 x x)))
(sqrt.f64 (*.f64 x (*.f64 x 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)))
(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 (exp.f64 (fma.f64 1/116 x 4/29))) (cbrt.f64 (exp.f64 (fma.f64 1/116 x 4/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/116 x 4/29)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/116 x 4/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/116 x 4/29)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/116 x 4/29)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 1/116 (+.f64 x 16))))) (log.f64 (sqrt.f64 (exp.f64 (*.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)
(fma.f64 1/116 x 4/29)
(*.f64 1/116 (+.f64 x 16))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 (/.f64 1 (/.f64 1 (+.f64 x 16))))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 (*.f64 (fma.f64 x x -256) (/.f64 1 (+.f64 x -16))))
(*.f64 (fma.f64 x x -256) (/.f64 1/116 (+.f64 x -16)))
(*.f64 1/116 (/.f64 (fma.f64 x x -256) (+.f64 x -16)))
(/.f64 1/116 (/.f64 (+.f64 x -16) (fma.f64 x x -256)))
(*.f64 (fma.f64 x x -256) (*.f64 1/116 (/.f64 1 (+.f64 x -16))))
(*.f64 (fma.f64 x x -256) (/.f64 1/116 (+.f64 x -16)))
(*.f64 1/116 (/.f64 (fma.f64 x x -256) (+.f64 x -16)))
(/.f64 1/116 (/.f64 (+.f64 x -16) (fma.f64 x x -256)))
(*.f64 (*.f64 1/116 (fma.f64 x x -256)) (/.f64 1 (+.f64 x -16)))
(*.f64 (fma.f64 x x -256) (/.f64 1/116 (+.f64 x -16)))
(*.f64 1/116 (/.f64 (fma.f64 x x -256) (+.f64 x -16)))
(/.f64 1/116 (/.f64 (+.f64 x -16) (fma.f64 x x -256)))
(*.f64 (*.f64 1/116 (+.f64 x 16)) 1)
(fma.f64 1/116 x 4/29)
(*.f64 1 (*.f64 1/116 (+.f64 x 16)))
(fma.f64 1/116 x 4/29)
(*.f64 (cbrt.f64 (*.f64 1/116 (+.f64 x 16))) (pow.f64 (cbrt.f64 (*.f64 1/116 (+.f64 x 16))) 2))
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/116 (+.f64 x 16))) 2) (cbrt.f64 (*.f64 1/116 (+.f64 x 16))))
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/116 (fma.f64 x x -256))) 2) (*.f64 (cbrt.f64 (*.f64 1/116 (fma.f64 x x -256))) (/.f64 1 (+.f64 x -16))))
(*.f64 (fma.f64 x x -256) (/.f64 1/116 (+.f64 x -16)))
(*.f64 1/116 (/.f64 (fma.f64 x x -256) (+.f64 x -16)))
(/.f64 1/116 (/.f64 (+.f64 x -16) (fma.f64 x x -256)))
(*.f64 (sqrt.f64 (*.f64 1/116 (+.f64 x 16))) (sqrt.f64 (*.f64 1/116 (+.f64 x 16))))
(fma.f64 1/116 x 4/29)
(*.f64 (sqrt.f64 (*.f64 1/116 (fma.f64 x x -256))) (*.f64 (sqrt.f64 (*.f64 1/116 (fma.f64 x x -256))) (/.f64 1 (+.f64 x -16))))
(*.f64 (fma.f64 x x -256) (/.f64 1/116 (+.f64 x -16)))
(*.f64 1/116 (/.f64 (fma.f64 x x -256) (+.f64 x -16)))
(/.f64 1/116 (/.f64 (+.f64 x -16) (fma.f64 x x -256)))
(*.f64 (*.f64 (fma.f64 x x -256) -1/116) (/.f64 1 (neg.f64 (+.f64 x -16))))
(*.f64 (fma.f64 x x -256) (/.f64 1/116 (+.f64 x -16)))
(*.f64 1/116 (/.f64 (fma.f64 x x -256) (+.f64 x -16)))
(/.f64 1/116 (/.f64 (+.f64 x -16) (fma.f64 x x -256)))
(*.f64 (/.f64 1 (+.f64 x -16)) (*.f64 1/116 (fma.f64 x x -256)))
(*.f64 (fma.f64 x x -256) (/.f64 1/116 (+.f64 x -16)))
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(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/116 x 4/29)) 1) 1))
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(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/116 x 4/29))) 3))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/116 x 4/29))) 1/3))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/116 x 4/29))) 2))
(fma.f64 1/116 x 4/29)
(log1p.f64 (expm1.f64 (fma.f64 1/116 x 4/29)))
(fma.f64 1/116 x 4/29)

eval54.0ms (3.4%)

Compiler

Compiled 1896 to 1515 computations (20.1% saved)

prune22.0ms (1.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1621163
Fresh011
Picked123
Done022
Total1636169
Accuracy
100.0%
Counts
169 → 6
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)
53.4%
(/.f64 -64/29 (+.f64 x -16))
100.0%
(-.f64 (/.f64 x 116) -4/29)
48.2%
(*.f64 1/116 x)
53.5%
4/29
99.9%
(fma.f64 x 1/116 4/29)
100.0%
(/.f64 (+.f64 x 16) 116)
53.4%
(/.f64 -64/29 (+.f64 x -16))
100.0%
(-.f64 (/.f64 x 116) -4/29)
48.2%
(*.f64 1/116 x)
53.5%
4/29
Compiler

Compiled 58 to 48 computations (17.2% saved)

localize21.0ms (1.4%)

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))

rewrite54.0ms (3.4%)

Algorithm
batch-egg-rewrite
Rules
1600×pow1
1508×add-exp-log
1508×log1p-expm1-u
1508×expm1-log1p-u
1482×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
115913
2198413
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(/.f64 -64/29 (+.f64 x -16))
Outputs
(-.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 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 -64/29 (+.f64 -4096 (pow.f64 x 3))) (fma.f64 x x (-.f64 256 (*.f64 x -16))))
(*.f64 (/.f64 -64/29 (fma.f64 x x -256)) (+.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 (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)
(sqrt.f64 (/.f64 4096/841 (pow.f64 (+.f64 x -16) 2)))
(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))))
(log1p.f64 (expm1.f64 (/.f64 -64/29 (+.f64 x -16))))

simplify56.0ms (3.5%)

Algorithm
egg-herbie
Rules
2010×fma-def
1308×times-frac
812×log-prod
696×associate-*r*
644×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0104936
1250800
2775672
33611658
Stop Event
node limit
Counts
34 → 59
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 (+.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 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 -64/29 (+.f64 -4096 (pow.f64 x 3))) (fma.f64 x x (-.f64 256 (*.f64 x -16))))
(*.f64 (/.f64 -64/29 (fma.f64 x x -256)) (+.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 (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)
(sqrt.f64 (/.f64 4096/841 (pow.f64 (+.f64 x -16) 2)))
(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))))
(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 (*.f64 x x) (*.f64 1/116 x)))
(+.f64 4/29 (fma.f64 1/116 x (*.f64 1/1856 (*.f64 x x))))
(fma.f64 1/116 x (fma.f64 x (*.f64 x 1/1856) 4/29))
(fma.f64 x (fma.f64 x 1/1856 1/116) 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 (*.f64 x x) (*.f64 1/116 x))))
(+.f64 4/29 (fma.f64 1/29696 (pow.f64 x 3) (fma.f64 1/116 x (*.f64 1/1856 (*.f64 x x)))))
(fma.f64 1/29696 (pow.f64 x 3) (fma.f64 1/116 x (fma.f64 x (*.f64 x 1/1856) 4/29)))
(fma.f64 1/116 x (fma.f64 (*.f64 x x) (fma.f64 x 1/29696 1/1856) 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 (*.f64 x x))))
(+.f64 (/.f64 -1024/29 (*.f64 x x)) (/.f64 -64/29 x))
(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 x x)) (+.f64 (/.f64 64/29 x) (/.f64 16384/29 (pow.f64 x 3)))))
(-.f64 (/.f64 -1024/29 (*.f64 x x)) (+.f64 (/.f64 64/29 x) (/.f64 16384/29 (pow.f64 x 3))))
(-.f64 (/.f64 -16384/29 (pow.f64 x 3)) (+.f64 (/.f64 64/29 x) (/.f64 1024/29 (*.f64 x x))))
(+.f64 (/.f64 -64/29 x) (+.f64 (/.f64 -1024/29 (*.f64 x x)) (/.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 (/.f64 1024/29 (*.f64 x x)) (/.f64 16384/29 (pow.f64 x 3))) (+.f64 (/.f64 64/29 x) (/.f64 262144/29 (pow.f64 x 4)))))
(-.f64 (/.f64 -1024/29 (*.f64 x x)) (+.f64 (/.f64 16384/29 (pow.f64 x 3)) (+.f64 (/.f64 64/29 x) (/.f64 262144/29 (pow.f64 x 4)))))
(+.f64 (/.f64 -1024/29 (*.f64 x x)) (-.f64 (+.f64 (/.f64 -64/29 x) (/.f64 -16384/29 (pow.f64 x 3))) (/.f64 262144/29 (pow.f64 x 4))))
(+.f64 (/.f64 -1024/29 (*.f64 x x)) (+.f64 (+.f64 (/.f64 -64/29 x) (/.f64 -262144/29 (pow.f64 x 4))) (/.f64 -16384/29 (pow.f64 x 3))))
(/.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 (*.f64 x x))))
(+.f64 (/.f64 -1024/29 (*.f64 x x)) (/.f64 -64/29 x))
(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 x x)) (+.f64 (/.f64 64/29 x) (/.f64 16384/29 (pow.f64 x 3)))))
(-.f64 (/.f64 -1024/29 (*.f64 x x)) (+.f64 (/.f64 64/29 x) (/.f64 16384/29 (pow.f64 x 3))))
(-.f64 (/.f64 -16384/29 (pow.f64 x 3)) (+.f64 (/.f64 64/29 x) (/.f64 1024/29 (*.f64 x x))))
(+.f64 (/.f64 -64/29 x) (+.f64 (/.f64 -1024/29 (*.f64 x x)) (/.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 (/.f64 1024/29 (*.f64 x x)) (/.f64 16384/29 (pow.f64 x 3))) (+.f64 (/.f64 64/29 x) (/.f64 262144/29 (pow.f64 x 4)))))
(-.f64 (/.f64 -1024/29 (*.f64 x x)) (+.f64 (/.f64 16384/29 (pow.f64 x 3)) (+.f64 (/.f64 64/29 x) (/.f64 262144/29 (pow.f64 x 4)))))
(+.f64 (/.f64 -1024/29 (*.f64 x x)) (-.f64 (+.f64 (/.f64 -64/29 x) (/.f64 -16384/29 (pow.f64 x 3))) (/.f64 262144/29 (pow.f64 x 4))))
(+.f64 (/.f64 -1024/29 (*.f64 x x)) (+.f64 (+.f64 (/.f64 -64/29 x) (/.f64 -262144/29 (pow.f64 x 4))) (/.f64 -16384/29 (pow.f64 x 3))))
(-.f64 (+.f64 1 (/.f64 -64/29 (+.f64 x -16))) 1)
(+.f64 1 (-.f64 (/.f64 -64/29 (+.f64 x -16)) 1))
(+.f64 (/.f64 -64/29 (+.f64 x -16)) 0)
(/.f64 -64/29 (+.f64 x -16))
(*.f64 -64/29 (/.f64 1 (+.f64 x -16)))
(+.f64 1 (-.f64 (/.f64 -64/29 (+.f64 x -16)) 1))
(+.f64 (/.f64 -64/29 (+.f64 x -16)) 0)
(/.f64 -64/29 (+.f64 x -16))
(*.f64 (/.f64 -64/29 (+.f64 x -16)) 1)
(+.f64 1 (-.f64 (/.f64 -64/29 (+.f64 x -16)) 1))
(+.f64 (/.f64 -64/29 (+.f64 x -16)) 0)
(/.f64 -64/29 (+.f64 x -16))
(*.f64 1 (/.f64 -64/29 (+.f64 x -16)))
(+.f64 1 (-.f64 (/.f64 -64/29 (+.f64 x -16)) 1))
(+.f64 (/.f64 -64/29 (+.f64 x -16)) 0)
(/.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 1 (-.f64 (/.f64 -64/29 (+.f64 x -16)) 1))
(+.f64 (/.f64 -64/29 (+.f64 x -16)) 0)
(/.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 1 (-.f64 (/.f64 -64/29 (+.f64 x -16)) 1))
(+.f64 (/.f64 -64/29 (+.f64 x -16)) 0)
(/.f64 -64/29 (+.f64 x -16))
(*.f64 (sqrt.f64 (/.f64 -64/29 (+.f64 x -16))) (sqrt.f64 (/.f64 -64/29 (+.f64 x -16))))
(+.f64 1 (-.f64 (/.f64 -64/29 (+.f64 x -16)) 1))
(+.f64 (/.f64 -64/29 (+.f64 x -16)) 0)
(/.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 1 (-.f64 (/.f64 -64/29 (+.f64 x -16)) 1))
(+.f64 (/.f64 -64/29 (+.f64 x -16)) 0)
(/.f64 -64/29 (+.f64 x -16))
(*.f64 (/.f64 -64/29 (+.f64 -4096 (pow.f64 x 3))) (fma.f64 x x (-.f64 256 (*.f64 x -16))))
(*.f64 (/.f64 -64/29 (+.f64 (pow.f64 x 3) -4096)) (fma.f64 x x (-.f64 256 (*.f64 x -16))))
(/.f64 (*.f64 -64/29 (fma.f64 x x (-.f64 256 (*.f64 x -16)))) (+.f64 (pow.f64 x 3) -4096))
(*.f64 (/.f64 -64/29 (+.f64 (pow.f64 x 3) -4096)) (fma.f64 x x (fma.f64 x 16 256)))
(*.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))
(pow.f64 (/.f64 -64/29 (+.f64 x -16)) 1)
(+.f64 1 (-.f64 (/.f64 -64/29 (+.f64 x -16)) 1))
(+.f64 (/.f64 -64/29 (+.f64 x -16)) 0)
(/.f64 -64/29 (+.f64 x -16))
(pow.f64 (cbrt.f64 (/.f64 -64/29 (+.f64 x -16))) 3)
(+.f64 1 (-.f64 (/.f64 -64/29 (+.f64 x -16)) 1))
(+.f64 (/.f64 -64/29 (+.f64 x -16)) 0)
(/.f64 -64/29 (+.f64 x -16))
(pow.f64 (pow.f64 (/.f64 -64/29 (+.f64 x -16)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 -64/29 (+.f64 x -16)) 1))
(+.f64 (/.f64 -64/29 (+.f64 x -16)) 0)
(/.f64 -64/29 (+.f64 x -16))
(pow.f64 (sqrt.f64 (/.f64 -64/29 (+.f64 x -16))) 2)
(+.f64 1 (-.f64 (/.f64 -64/29 (+.f64 x -16)) 1))
(+.f64 (/.f64 -64/29 (+.f64 x -16)) 0)
(/.f64 -64/29 (+.f64 x -16))
(pow.f64 (*.f64 (+.f64 x -16) -29/64) -1)
(+.f64 1 (-.f64 (/.f64 -64/29 (+.f64 x -16)) 1))
(+.f64 (/.f64 -64/29 (+.f64 x -16)) 0)
(/.f64 -64/29 (+.f64 x -16))
(sqrt.f64 (/.f64 4096/841 (pow.f64 (+.f64 x -16) 2)))
(sqrt.f64 (pow.f64 (fma.f64 x -29/64 29/4) -2))
(fabs.f64 (/.f64 -64/29 (+.f64 x -16)))
(log.f64 (exp.f64 (/.f64 -64/29 (+.f64 x -16))))
(+.f64 1 (-.f64 (/.f64 -64/29 (+.f64 x -16)) 1))
(+.f64 (/.f64 -64/29 (+.f64 x -16)) 0)
(/.f64 -64/29 (+.f64 x -16))
(cbrt.f64 (pow.f64 (/.f64 -64/29 (+.f64 x -16)) 3))
(+.f64 1 (-.f64 (/.f64 -64/29 (+.f64 x -16)) 1))
(+.f64 (/.f64 -64/29 (+.f64 x -16)) 0)
(/.f64 -64/29 (+.f64 x -16))
(expm1.f64 (log1p.f64 (/.f64 -64/29 (+.f64 x -16))))
(+.f64 1 (-.f64 (/.f64 -64/29 (+.f64 x -16)) 1))
(+.f64 (/.f64 -64/29 (+.f64 x -16)) 0)
(/.f64 -64/29 (+.f64 x -16))
(exp.f64 (log.f64 (/.f64 -64/29 (+.f64 x -16))))
(+.f64 1 (-.f64 (/.f64 -64/29 (+.f64 x -16)) 1))
(+.f64 (/.f64 -64/29 (+.f64 x -16)) 0)
(/.f64 -64/29 (+.f64 x -16))
(log1p.f64 (expm1.f64 (/.f64 -64/29 (+.f64 x -16))))
(+.f64 1 (-.f64 (/.f64 -64/29 (+.f64 x -16)) 1))
(+.f64 (/.f64 -64/29 (+.f64 x -16)) 0)
(/.f64 -64/29 (+.f64 x -16))

eval16.0ms (1%)

Compiler

Compiled 657 to 506 computations (23% saved)

prune41.0ms (2.6%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New59059
Fresh011
Picked011
Done044
Total59665
Accuracy
100.0%
Counts
65 → 6
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)
53.4%
(/.f64 -64/29 (+.f64 x -16))
100.0%
(-.f64 (/.f64 x 116) -4/29)
48.2%
(*.f64 1/116 x)
53.5%
4/29
99.9%
(fma.f64 x 1/116 4/29)
100.0%
(/.f64 (+.f64 x 16) 116)
53.4%
(/.f64 -64/29 (+.f64 x -16))
100.0%
(-.f64 (/.f64 x 116) -4/29)
48.2%
(*.f64 1/116 x)
53.5%
4/29
Compiler

Compiled 58 to 48 computations (17.2% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done055
Total066
Accuracy
100.0%
Counts
6 → 6
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)
53.4%
(/.f64 -64/29 (+.f64 x -16))
100.0%
(-.f64 (/.f64 x 116) -4/29)
48.2%
(*.f64 1/116 x)
53.5%
4/29
Compiler

Compiled 63 to 50 computations (20.6% saved)

regimes14.0ms (0.9%)

Counts
7 → 1
Calls
Call 1
Inputs
4/29
(*.f64 1/116 x)
(-.f64 (/.f64 x 116) -4/29)
(/.f64 -64/29 (+.f64 x -16))
(/.f64 (+.f64 x 16) 116)
(fma.f64 x 1/116 4/29)
(/.f64 (*.f64 1/116 (fma.f64 x x -256)) (+.f64 x -16))
Outputs
(/.f64 (+.f64 x 16) 116)
Calls

3 calls:

5.0ms
x
4.0ms
(/.f64 (+.f64 x 16) 116)
4.0ms
(+.f64 x 16)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (+.f64 x 16) 116)
100.0%1(+.f64 x 16)
Compiler

Compiled 46 to 35 computations (23.9% saved)

regimes5.0ms (0.3%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes44.0ms (2.8%)

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:

44.0ms
x
Results
AccuracySegmentsBranch
98.4%3x
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (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
53.5%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch29.0ms (1.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
0.00011992189737129346
14901428.197146177
15.0ms
-38.360841678636874
-4.295529291845033e-15
Results
24.0ms320×body256valid
Compiler

Compiled 170 to 148 computations (12.9% saved)

simplify6.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02160
13160
23660
33860
43960
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x 16) 116)
(-.f64 (/.f64 x 116) -4/29)
(if (<=.f64 x -16) (*.f64 1/116 x) (if (<=.f64 x 16) 4/29 (*.f64 1/116 x)))
4/29
Outputs
(/.f64 (+.f64 x 16) 116)
(-.f64 (/.f64 x 116) -4/29)
(if (<=.f64 x -16) (*.f64 1/116 x) (if (<=.f64 x 16) 4/29 (*.f64 1/116 x)))
(if (<=.f64 x -16) (*.f64 x 1/116) (if (<=.f64 x 16) 4/29 (*.f64 x 1/116)))
4/29
Compiler

Compiled 30 to 24 computations (20% saved)

soundness20.0ms (1.3%)

Rules
36×fma-def
30×sub-neg
22×div-sub
20×+-commutative
12×*-commutative
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01143
11739
22539
34139
45639
58339
612639
715635
817235
917535
Stop Event
saturated
Compiler

Compiled 45 to 38 computations (15.6% saved)

end0.0ms (0%)

preprocess35.0ms (2.2%)

Compiler

Compiled 66 to 52 computations (21.2% saved)

Profiling

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