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

Time bar (total: 1.5s)

analyze0.0ms (0%)

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

Compiled 7 to 6 computations (14.3% saved)

sample778.0ms (51.8%)

Results
767.0ms8256×body256valid
Bogosity

preprocess26.0ms (1.7%)

Algorithm
1×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
1×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)

localize40.0ms (2.7%)

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)

series4.0ms (0.2%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(-.f64 (/.f64 x 116) -4/29)
1.0ms
x
@0
(/.f64 (+.f64 x 16) 116)
1.0ms
x
@inf
(/.f64 (+.f64 x 16) 116)
1.0ms
x
@0
(-.f64 (/.f64 x 116) -4/29)
0.0ms
x
@-inf
(/.f64 (+.f64 x 16) 116)

rewrite87.0ms (5.8%)

Algorithm
1×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
1×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)))

simplify99.0ms (6.6%)

Algorithm
1×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
1×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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(fma.f64 1/116 x 4/29)
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(fma.f64 1/116 x 4/29)
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(*.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)))
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(*.f64 (fma.f64 (*.f64 x x) 1/13456 -16/841) (/.f64 1 (fma.f64 x 1/116 -4/29)))
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(/.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))))
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(*.f64 (fma.f64 (*.f64 x x) 1/13456 -16/841) (/.f64 1 (fma.f64 x 1/116 -4/29)))
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(fma.f64 1/116 x 4/29)
(pow.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) 3)
(fma.f64 1/116 x 4/29)
(pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 2) 1/2)
(fma.f64 1/116 x 4/29)
(pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3) 1/3)
(fma.f64 1/116 x 4/29)
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(fma.f64 1/116 x 4/29)
(log.f64 (exp.f64 (fma.f64 x 1/116 4/29)))
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(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/116 4/29))))
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(cbrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3))
(fma.f64 1/116 x 4/29)
(expm1.f64 (log1p.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 1/116 x 4/29)
(exp.f64 (log.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/116 4/29)) 1))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x 1/116 4/29)) 1) 1))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/116 4/29))) 3))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x 1/116 4/29))) 1/3))
(fma.f64 1/116 x 4/29)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/116 4/29))) 2))
(fma.f64 1/116 x 4/29)
(log1p.f64 (expm1.f64 (fma.f64 x 1/116 4/29)))
(fma.f64 1/116 x 4/29)
(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))
(fma.f64 1/116 x 4/29)
(+.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 (*.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 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))))
(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)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (pow.f64 (*.f64 (cbrt.f64 (+.f64 x 16)) 1/116) 1))
(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)))
(fma.f64 1/116 x 4/29)
(*.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 (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 (+.f64 x 16)) (*.f64 (sqrt.f64 (+.f64 x 16)) 1/116))
(fma.f64 1/116 x 4/29)
(*.f64 (sqrt.f64 (+.f64 x 16)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 x 16)) 1/116) 1))
(fma.f64 1/116 x 4/29)
(*.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(fma.f64 1/116 x 4/29)
(*.f64 (fma.f64 -1 x -16) -1/116)
(fma.f64 1/116 x 4/29)
(*.f64 1/116 (+.f64 x 16))
(fma.f64 1/116 x 4/29)
(*.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))
(fma.f64 1/116 x 4/29)
(*.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))
(fma.f64 1/116 x 4/29)
(*.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))
(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))
(*.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 (*.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 (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 (*.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 2) (+.f64 x 16)) 1/3) (pow.f64 1/116 1/3))
(*.f64 (cbrt.f64 1/116) (cbrt.f64 (*.f64 (+.f64 x 16) (pow.f64 (fma.f64 1/116 x 4/29) 2))))
(*.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 (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 (*.f64 (+.f64 x 16) 1/116) 5/2) 1/3) (pow.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) 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)))
(*.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))
(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)))
(*.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (/.f64 1 (*.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) (cbrt.f64 (/.f64 116 (+.f64 x 16))))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 1) (*.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) (cbrt.f64 (/.f64 116 (+.f64 x 16)))))
(/.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (*.f64 (cbrt.f64 (/.f64 116 (+.f64 x 16))) (cbrt.f64 (/.f64 116 (+.f64 x 16)))))
(*.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)))
(*.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 1/116 (/.f64 (+.f64 x -16) (fma.f64 x x -256)))
(pow.f64 (*.f64 (+.f64 x 16) 1/116) 1)
(fma.f64 1/116 x 4/29)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 3)
(fma.f64 1/116 x 4/29)
(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)
(fma.f64 1/116 x 4/29)
(pow.f64 (/.f64 116 (+.f64 x 16)) -1)
(fma.f64 1/116 x 4/29)
(pow.f64 (/.f64 (/.f64 116 (+.f64 x 16)) 1) -1)
(fma.f64 1/116 x 4/29)
(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))
(fma.f64 1/116 x 4/29)
(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)

eval55.0ms (3.7%)

Compiler

Compiled 1809 to 1514 computations (16.3% saved)

prune39.0ms (2.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1462148
Fresh000
Picked022
Done000
Total1464150
Accuracy
100.0%
Counts
150 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x 16) 116)
✓100.0%
(-.f64 (/.f64 x 116) -4/29)
▶53.6%
(*.f64 1/116 x)
46.2%
4/29
✓100.0%
(/.f64 (+.f64 x 16) 116)
✓100.0%
(-.f64 (/.f64 x 116) -4/29)
▶53.6%
(*.f64 1/116 x)
46.2%
4/29
Compiler

Compiled 36 to 30 computations (16.7% saved)

localize20.0ms (1.3%)

Localize:

Found 1 expressions with local error:

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

Compiled 7 to 5 computations (28.6% saved)

series1.0ms (0.1%)

Counts
1 → 0
Calls

3 calls:

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

rewrite62.0ms (4.1%)

Algorithm
1×batch-egg-rewrite
Rules
884×pow1
860×add-sqr-sqrt
842×*-un-lft-identity
816×add-exp-log
816×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11007
211107
Stop Event
1×node limit
Counts
1 → 14
Calls
Call 1
Inputs
(*.f64 1/116 x)
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 (+.f64 1 (*.f64 1/116 x)) 1)
(pow.f64 (*.f64 1/116 x) 1)
(pow.f64 (cbrt.f64 (*.f64 1/116 x)) 3)
(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))
(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)))
(log1p.f64 (expm1.f64 (*.f64 1/116 x)))

simplify117.0ms (7.8%)

Algorithm
1×egg-herbie
Rules
1586×log-prod
1574×fma-def
1114×fma-neg
530×*-commutative
518×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043154
194140
2309116
32268116
45057116
57318116
Stop Event
1×node limit
Counts
14 → 18
Calls
Call 1
Inputs
(+.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 (+.f64 1 (*.f64 1/116 x)) 1)
(pow.f64 (*.f64 1/116 x) 1)
(pow.f64 (cbrt.f64 (*.f64 1/116 x)) 3)
(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))
(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)))
(log1p.f64 (expm1.f64 (*.f64 1/116 x)))
Outputs
(+.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 (cbrt.f64 (pow.f64 (exp.f64 1/116) x))) 3)
(+.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 (+.f64 1 (*.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 (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)))
(*.f64 1/116 x)
(log.f64 (pow.f64 (exp.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)
(log1p.f64 (expm1.f64 (*.f64 1/116 x)))
(*.f64 1/116 x)

eval6.0ms (0.4%)

Compiler

Compiled 135 to 112 computations (17% saved)

prune5.0ms (0.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New18018
Fresh011
Picked011
Done022
Total18422
Accuracy
100.0%
Counts
22 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x 16) 116)
✓100.0%
(-.f64 (/.f64 x 116) -4/29)
✓53.6%
(*.f64 1/116 x)
46.2%
4/29
✓100.0%
(/.f64 (+.f64 x 16) 116)
✓100.0%
(-.f64 (/.f64 x 116) -4/29)
✓53.6%
(*.f64 1/116 x)
46.2%
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)

prune4.0ms (0.3%)

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)
✓100.0%
(-.f64 (/.f64 x 116) -4/29)
✓53.6%
(*.f64 1/116 x)
46.2%
4/29
✓100.0%
(/.f64 (+.f64 x 16) 116)
✓100.0%
(-.f64 (/.f64 x 116) -4/29)
✓53.6%
(*.f64 1/116 x)
46.2%
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)

prune2.0ms (0.2%)

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)
✓100.0%
(-.f64 (/.f64 x 116) -4/29)
✓53.6%
(*.f64 1/116 x)
46.2%
4/29
Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes36.0ms (2.4%)

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

3 calls:

12.0ms
x
12.0ms
(/.f64 (+.f64 x 16) 116)
11.0ms
(+.f64 x 16)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (+.f64 x 16) 116)
100.0%1(+.f64 x 16)
Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes9.0ms (0.6%)

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

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
96.1%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
46.2%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch30.0ms (2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
0.36912098232419144
52678.899151931924
17.0ms
-2936.831376076881
-0.22810645569699303
Results
25.0ms272×body256valid
Compiler

Compiled 146 to 127 computations (13% saved)

simplify15.0ms (1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01947
12847
23347
33547
43647
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.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 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 24 to 19 computations (20.8% saved)

soundness29.0ms (1.9%)

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
1×saturated
Compiler

Compiled 45 to 38 computations (15.6% saved)

end0.0ms (0%)

preprocess32.0ms (2.1%)

Compiler

Compiled 56 to 44 computations (21.4% saved)

Profiling

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