arccos

Time bar (total: 6.1s)

analyze4.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
50%25%25%0%0%50%0%4
75%37.5%12.5%0%0%50%0%5
87.5%43.7%6.2%0%0%50%0%6
93.8%46.9%3.1%0%0%50%0%7
96.9%48.4%1.6%0%0%50%0%8
98.4%49.2%0.8%0%0%50%0%9
99.2%49.6%0.4%0%0%50%0%10
99.6%49.8%0.2%0%0%50%0%11
99.8%49.9%0.1%0%0%50%0%12
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.2s (19.7%)

Results
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Bogosity

preprocess235.0ms (3.8%)

Algorithm
egg-herbie
Rules
642×fma-define
448×fma-neg
160×times-frac
136×associate-*l*
122×div-sub
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(+.f64 1 x)
00-0-(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
00-0-(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
00-0-(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
00-0-(/.f64 (-.f64 1 x) (+.f64 1 x))
00-0-(-.f64 1 x)
00-0-2
00-0-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022164
150156
281156
3149156
4285156
5628156
61293156
71538156
81618156
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (neg.f64 x)) (+.f64 1 (neg.f64 x))))))
(neg.f64 (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (neg.f64 x)) (+.f64 1 (neg.f64 x)))))))
Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (neg.f64 x)) (+.f64 1 (neg.f64 x))))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (neg.f64 x)) (-.f64 1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(neg.f64 (*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (neg.f64 x)) (+.f64 1 (neg.f64 x)))))))
(*.f64 -2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 (neg.f64 x)) (-.f64 1 x)))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) -2)
Compiler

Compiled 104 to 80 computations (23.1% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize79.0ms (1.3%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
100.0%
(/.f64 (-.f64 1 x) (+.f64 1 x))
Compiler

Compiled 46 to 35 computations (23.9% saved)

series5.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
1.0ms
x
@-inf
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
1.0ms
x
@inf
(/.f64 (-.f64 1 x) (+.f64 1 x))
1.0ms
x
@0
(/.f64 (-.f64 1 x) (+.f64 1 x))
1.0ms
x
@0
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))

rewrite317.0ms (5.2%)

Algorithm
batch-egg-rewrite
Rules
1398×unpow-prod-down
706×log1p-expm1-u
706×expm1-log1p-u
672×log-prod
642×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01154
113754
2190254
Stop Event
node limit
Counts
2 → 264
Calls
Call 1
Inputs
(/.f64 (-.f64 1 x) (+.f64 1 x))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
Outputs
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 x (+.f64 1 x))))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))) (/.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (+.f64 1 x))))
(+.f64 0 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 (/.f64 x (+.f64 1 x))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (*.f64 (/.f64 x (+.f64 1 x)) 1))) (fma.f64 (neg.f64 (/.f64 x (+.f64 1 x))) 1 (*.f64 (/.f64 x (+.f64 1 x)) 1)))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (*.f64 (/.f64 1 (+.f64 1 x)) x))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 x))) x (*.f64 (/.f64 1 (+.f64 1 x)) x)))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x))) (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (/.f64 x (+.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (+.f64 1 x)))) (*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (/.f64 x (+.f64 1 x)))) (*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (/.f64 x (+.f64 1 x)))))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 (+.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 (+.f64 1 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (*.f64 (/.f64 x (cbrt.f64 (+.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (*.f64 (/.f64 x (hypot.f64 1 (sqrt.f64 x))) (/.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) (fma.f64 (neg.f64 (/.f64 x (hypot.f64 1 (sqrt.f64 x)))) (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (*.f64 (/.f64 x (hypot.f64 1 (sqrt.f64 x))) (/.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (sqrt.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (sqrt.f64 x))) (*.f64 (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (sqrt.f64 x))))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x)) (/.f64 (sqrt.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x))) (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x)) (/.f64 (sqrt.f64 x) 1))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (*.f64 (fma.f64 x (-.f64 x 1) 1) (/.f64 x (+.f64 1 (pow.f64 x 3)))))) (fma.f64 (neg.f64 (fma.f64 x (-.f64 x 1) 1)) (/.f64 x (+.f64 1 (pow.f64 x 3))) (*.f64 (fma.f64 x (-.f64 x 1) 1) (/.f64 x (+.f64 1 (pow.f64 x 3))))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (*.f64 (-.f64 1 x) (/.f64 x (-.f64 1 (pow.f64 x 2)))))) (fma.f64 (neg.f64 (-.f64 1 x)) (/.f64 x (-.f64 1 (pow.f64 x 2))) (*.f64 (-.f64 1 x) (/.f64 x (-.f64 1 (pow.f64 x 2))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (*.f64 (/.f64 x (+.f64 1 x)) 1))) (fma.f64 (neg.f64 (/.f64 x (+.f64 1 x))) 1 (*.f64 (/.f64 x (+.f64 1 x)) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (*.f64 (/.f64 1 (+.f64 1 x)) x))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 x))) x (*.f64 (/.f64 1 (+.f64 1 x)) x)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x))) (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (/.f64 x (+.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (+.f64 1 x)))) (*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (/.f64 x (+.f64 1 x)))) (*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (/.f64 x (+.f64 1 x)))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 (+.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 (+.f64 1 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (*.f64 (/.f64 x (cbrt.f64 (+.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (*.f64 (/.f64 x (hypot.f64 1 (sqrt.f64 x))) (/.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) (fma.f64 (neg.f64 (/.f64 x (hypot.f64 1 (sqrt.f64 x)))) (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (*.f64 (/.f64 x (hypot.f64 1 (sqrt.f64 x))) (/.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (sqrt.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (sqrt.f64 x))) (*.f64 (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (sqrt.f64 x))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x)) (/.f64 (sqrt.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x))) (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x)) (/.f64 (sqrt.f64 x) 1))))
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(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) 1))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) 1))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2) 1))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)) 1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2) (pow.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 (+.f64 1 x))) 1/2))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 x)) 1/2) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)) 1/2))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 x)) 1/2) (pow.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (+.f64 1 x))) 1/2))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3))
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 1/2) (pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2))
(*.f64 (pow.f64 (neg.f64 (-.f64 1 x)) 1/2) (pow.f64 (/.f64 1 (fma.f64 -1 x -1)) 1/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) 1/2) (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 1/2))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) 1/2) (pow.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))) 1/2))
(*.f64 (pow.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) 1/2) (pow.f64 (/.f64 (-.f64 1 x) (hypot.f64 1 (sqrt.f64 x))) 1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) 1/2) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)) 1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (hypot.f64 1 (sqrt.f64 x))) 1/2) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (hypot.f64 1 (sqrt.f64 x))) 1/2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) 1/2) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)) 1/2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) 1/2) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) 1/2))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 2))) 1/2) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) 1/2) (pow.f64 (fma.f64 x (-.f64 x 1) 1) 1/2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/2) 1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2) 1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/3) (pow.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) 1/3) (pow.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)) 1/3))
(*.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/3) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) 1/3) (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 1/3))
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(/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 1 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (hypot.f64 1 (sqrt.f64 x)))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 1 x))) (sqrt.f64 (fma.f64 -1 x -1)))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (hypot.f64 1 (sqrt.f64 x))))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) -1)
(pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x))) -1)
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(exp.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2))

simplify234.0ms (3.8%)

Algorithm
egg-herbie
Rules
1022×associate-*r*
982×fma-neg
982×associate-*l*
586×unswap-sqr
508×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
078120992
1199816576
2740416507
Stop Event
node limit
Counts
288 → 417
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -2 x))
(+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 x (+.f64 1 x))))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))) (/.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (+.f64 1 x))))
(+.f64 0 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 (/.f64 x (+.f64 1 x))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (*.f64 (/.f64 x (+.f64 1 x)) 1))) (fma.f64 (neg.f64 (/.f64 x (+.f64 1 x))) 1 (*.f64 (/.f64 x (+.f64 1 x)) 1)))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (*.f64 (/.f64 1 (+.f64 1 x)) x))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 x))) x (*.f64 (/.f64 1 (+.f64 1 x)) x)))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x))) (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x)) (sqrt.f64 x))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (/.f64 x (+.f64 1 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (+.f64 1 x)))) (*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (/.f64 x (+.f64 1 x)))) (*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (/.f64 x (+.f64 1 x)))))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 (+.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 (+.f64 1 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (*.f64 (/.f64 x (cbrt.f64 (+.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (*.f64 (/.f64 x (hypot.f64 1 (sqrt.f64 x))) (/.f64 1 (hypot.f64 1 (sqrt.f64 x)))))) (fma.f64 (neg.f64 (/.f64 x (hypot.f64 1 (sqrt.f64 x)))) (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (*.f64 (/.f64 x (hypot.f64 1 (sqrt.f64 x))) (/.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) (+.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (sqrt.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (sqrt.f64 x))) (*.f64 (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (sqrt.f64 x))))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x)) (/.f64 (sqrt.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x))) (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sqrt.f64 x) (+.f64 1 x)) (/.f64 (sqrt.f64 x) 1))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))))
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(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2) (-.f64 1 x)) 1/3) (pow.f64 (/.f64 1 (+.f64 1 x)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)) 1/3) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) -1) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) -1) (pow.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) -1) (pow.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) 1) -1) (pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (-.f64 1 x)) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) -1) (pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (cbrt.f64 (-.f64 1 x))) -1))
(*.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))) -1) (/.f64 1 (fma.f64 x (+.f64 1 x) 1)))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1)
(pow.f64 (/.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1) -1)
(neg.f64 (/.f64 (-.f64 1 x) (fma.f64 -1 x -1)))
(neg.f64 (/.f64 (neg.f64 (-.f64 1 x)) (+.f64 1 x)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/2))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/3))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1))
(fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (/.f64 x (+.f64 1 x))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (/.f64 x (+.f64 1 x))))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) (sqrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (/.f64 x (+.f64 1 x))))
(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1) (neg.f64 (/.f64 x (+.f64 1 x))))
(fma.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2))) (-.f64 1 x) (neg.f64 (/.f64 x (+.f64 1 x))))
(+.f64 0 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) 2))
(*.f64 (cbrt.f64 (-.f64 1 x)) (pow.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/3))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) 1))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) 1))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2) 1))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)) 1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2) (pow.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 (+.f64 1 x))) 1/2))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 x)) 1/2) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)) 1/2))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 x)) 1/2) (pow.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (+.f64 1 x))) 1/2))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3))
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 1/2) (pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2))
(*.f64 (pow.f64 (neg.f64 (-.f64 1 x)) 1/2) (pow.f64 (/.f64 1 (fma.f64 -1 x -1)) 1/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) 1/2) (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 1/2))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) 1/2) (pow.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))) 1/2))
(*.f64 (pow.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) 1/2) (pow.f64 (/.f64 (-.f64 1 x) (hypot.f64 1 (sqrt.f64 x))) 1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) 1/2) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)) 1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (hypot.f64 1 (sqrt.f64 x))) 1/2) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (hypot.f64 1 (sqrt.f64 x))) 1/2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) 1/2) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)) 1/2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) 1/2) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) 1/2))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 2))) 1/2) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) 1/2) (pow.f64 (fma.f64 x (-.f64 x 1) 1) 1/2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/2) 1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2) 1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/3) (pow.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) 1/3) (pow.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)) 1/3))
(*.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/3) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/3))
(*.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) 1/3) (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) 2))
(/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 1 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (hypot.f64 1 (sqrt.f64 x)))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 1 x))) (sqrt.f64 (fma.f64 -1 x -1)))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (hypot.f64 1 (sqrt.f64 x))))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) -1)
(pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x))) -1)
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(exp.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2))
Outputs
1
(+.f64 1 (*.f64 -2 x))
(fma.f64 -2 x 1)
(+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -2 x (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (fma.f64 2 (pow.f64 x 2) (*.f64 -2 x)))
(+.f64 1 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -2 x (fma.f64 -2 (pow.f64 x 3) (*.f64 2 (pow.f64 x 2)))))
(+.f64 (fma.f64 -2 x 1) (fma.f64 -2 (pow.f64 x 3) (*.f64 2 (pow.f64 x 2))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (/.f64 2 x) -1)
(+.f64 -1 (/.f64 2 x))
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (pow.f64 x 2))))
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (+.f64 1 (/.f64 2 (pow.f64 x 2))))
(+.f64 (/.f64 2 x) (-.f64 (-.f64 (/.f64 2 (pow.f64 x 3)) 1) (/.f64 2 (pow.f64 x 2))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (/.f64 2 x) -1)
(+.f64 -1 (/.f64 2 x))
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (pow.f64 x 2))))
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (+.f64 1 (/.f64 2 (pow.f64 x 2))))
(+.f64 (/.f64 2 x) (-.f64 (-.f64 (/.f64 2 (pow.f64 x 3)) 1) (/.f64 2 (pow.f64 x 2))))
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (-.f64 1 x) (*.f64 (pow.f64 x 2) 1/2))
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(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 1/2) (pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) (sqrt.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 3)))
(*.f64 (pow.f64 (neg.f64 (-.f64 1 x)) 1/2) (pow.f64 (/.f64 1 (fma.f64 -1 x -1)) 1/2))
(*.f64 (sqrt.f64 (neg.f64 (-.f64 1 x))) (sqrt.f64 (/.f64 1 (fma.f64 -1 x -1))))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (/.f64 -1 (+.f64 1 x))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) 1/2) (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) (sqrt.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 3)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) 1/2) (pow.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))) 1/2))
(*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (sqrt.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x)))))
(*.f64 (pow.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) 1/2) (pow.f64 (/.f64 (-.f64 1 x) (hypot.f64 1 (sqrt.f64 x))) 1/2))
(*.f64 (sqrt.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (sqrt.f64 (/.f64 (-.f64 1 x) (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) 1/2) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (hypot.f64 1 (sqrt.f64 x))) 1/2) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (hypot.f64 1 (sqrt.f64 x))) 1/2))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (hypot.f64 1 (sqrt.f64 x)))) (sqrt.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) 1/2) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)) 1/2))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) 1/2) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) 1/2))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 2))) 1/2) (sqrt.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 2)))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) 1/2) (pow.f64 (fma.f64 x (-.f64 x 1) 1) 1/2))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x (+.f64 x -1) 1)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/2) 1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2) 1))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) 3))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/3) (pow.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)) (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) 1/3) (pow.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) 1/3))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))) (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 3)) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 3)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))))
(*.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/3) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4)))
(*.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) 1/3) (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) (cbrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 5/4)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) 2))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 1 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 x)) (hypot.f64 1 (sqrt.f64 x)))
(/.f64 (sqrt.f64 (-.f64 1 x)) (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 1 x))) (sqrt.f64 (fma.f64 -1 x -1)))
(/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (fma.f64 x -1 -1)))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 1 (/.f64 (sqrt.f64 (-.f64 1 x)) (hypot.f64 1 (sqrt.f64 x))))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) -1)
(/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x))) -1)
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 x)) (hypot.f64 1 (sqrt.f64 x)))
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(exp.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(exp.f64 (*.f64 (*.f64 3/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/3))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(exp.f64 (*.f64 (*.f64 1/4 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))

eval245.0ms (4%)

Compiler

Compiled 12613 to 9992 computations (20.8% saved)

prune66.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New4143417
Fresh000
Picked011
Done000
Total4144418
Accuracy
100.0%
Counts
418 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
98.7%
(*.f64 2 (atan.f64 (-.f64 1 x)))
100.0%
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
100.0%
(*.f64 2 (atan.f64 (sqrt.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (+.f64 1 x))))))
Compiler

Compiled 49 to 41 computations (16.3% saved)

localize222.0ms (3.6%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (+.f64 1 x) (-.f64 1 x))
100.0%
(sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
100.0%
(/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
100.0%
(atan.f64 (-.f64 1 x))
100.0%
(sqrt.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (+.f64 1 x))))
100.0%
(/.f64 x (+.f64 1 x))
100.0%
(/.f64 1 (+.f64 1 x))
100.0%
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (+.f64 1 x)))
Compiler

Compiled 143 to 109 computations (23.8% saved)

series16.0ms (0.3%)

Counts
8 → 88
Calls

24 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
1.0ms
x
@inf
(sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
1.0ms
x
@inf
(/.f64 1 (+.f64 1 x))
1.0ms
x
@0
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (+.f64 1 x)))
1.0ms
x
@inf
(/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

rewrite196.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
1024×fma-define
904×log1p-expm1-u
904×expm1-log1p-u
484×fma-neg
154×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017186
1280186
24149186
Stop Event
node limit
Counts
8 → 449
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (+.f64 1 x)))
(/.f64 1 (+.f64 1 x))
(/.f64 x (+.f64 1 x))
(sqrt.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (+.f64 1 x))))
(atan.f64 (-.f64 1 x))
(/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
Outputs
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (fma.f64 -1 x -1)))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 x (fma.f64 -1 x -1)) 1))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (/.f64 x (fma.f64 -1 x -1)) 1 (/.f64 x (+.f64 1 x))))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 x))) x (/.f64 x (+.f64 1 x))))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (+.f64 1 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2) (/.f64 x (+.f64 1 x))))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 x (+.f64 1 x))))
(+.f64 (/.f64 x (fma.f64 -1 x -1)) (/.f64 1 (+.f64 1 x)))
(*.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (-.f64 1 x) (/.f64 1 (+.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)))
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(fabs.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(exp.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 1)
(*.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4) (*.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4) (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(*.f64 (fma.f64 -1 x -1) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 1 x))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4)) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(*.f64 (/.f64 1 (-.f64 (+.f64 1 x) (fma.f64 x x x))) (pow.f64 (+.f64 1 x) 2))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3))) (fma.f64 (/.f64 x (+.f64 1 x)) (*.f64 (+.f64 1 x) (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -2)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2))) (*.f64 (+.f64 1 x) (/.f64 1 (+.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) -1)
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3) 1/3)
(neg.f64 (/.f64 (+.f64 1 x) (neg.f64 (-.f64 1 x))))
(neg.f64 (/.f64 (fma.f64 -1 x -1) (-.f64 1 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1))

simplify325.0ms (5.3%)

Algorithm
egg-herbie
Rules
1238×fma-neg
644×associate-*r*
622×associate-*l*
538×fma-define
474×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
085026301
1209724076
2739024074
Stop Event
node limit
Counts
537 → 629
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -2 x))
(+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))))
x
(+.f64 x (*.f64 -1 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (pow.f64 x 3))))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/2 (pow.f64 x 3)))))
(sqrt.f64 -1)
(-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(sqrt.f64 -1)
(-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 -1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
1
(+.f64 1 (*.f64 2 x))
(+.f64 1 (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (fma.f64 -1 x -1)))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 x (fma.f64 -1 x -1)) 1))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (/.f64 x (fma.f64 -1 x -1)) 1 (/.f64 x (+.f64 1 x))))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 x))) x (/.f64 x (+.f64 1 x))))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (+.f64 1 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2) (/.f64 x (+.f64 1 x))))
(+.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 x (+.f64 1 x))))
(+.f64 (/.f64 x (fma.f64 -1 x -1)) (/.f64 1 (+.f64 1 x)))
(*.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (-.f64 1 x) (/.f64 1 (+.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (pow.f64 (+.f64 1 x) -1/2) (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))))
(*.f64 (-.f64 (+.f64 1 x) (fma.f64 x x x)) (pow.f64 (+.f64 1 x) -2))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (/.f64 1 (fma.f64 (/.f64 x (+.f64 1 x)) (*.f64 (+.f64 1 x) (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -2))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (/.f64 1 (*.f64 (+.f64 1 x) (/.f64 1 (+.f64 1 x)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 2))) (-.f64 1 x))
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(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 1 x))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4)) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(*.f64 (/.f64 1 (-.f64 (+.f64 1 x) (fma.f64 x x x))) (pow.f64 (+.f64 1 x) 2))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3))) (fma.f64 (/.f64 x (+.f64 1 x)) (*.f64 (+.f64 1 x) (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -2)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2))) (*.f64 (+.f64 1 x) (/.f64 1 (+.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) -1)
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3) 1/3)
(neg.f64 (/.f64 (+.f64 1 x) (neg.f64 (-.f64 1 x))))
(neg.f64 (/.f64 (fma.f64 -1 x -1) (-.f64 1 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1))
Outputs
1
(+.f64 1 (*.f64 -2 x))
(fma.f64 -2 x 1)
(+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -2 x (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (fma.f64 2 (pow.f64 x 2) (*.f64 -2 x)))
(+.f64 1 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -2 x (fma.f64 -2 (pow.f64 x 3) (*.f64 2 (pow.f64 x 2)))))
(+.f64 (fma.f64 -2 x 1) (fma.f64 -2 (pow.f64 x 3) (*.f64 2 (pow.f64 x 2))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (/.f64 2 x) -1)
(+.f64 -1 (/.f64 2 x))
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (pow.f64 x 2))))
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (pow.f64 x 2)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (pow.f64 x 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (/.f64 2 x) -1)
(+.f64 -1 (/.f64 2 x))
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (pow.f64 x 2))))
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (pow.f64 x 2)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 (-.f64 1 x) (pow.f64 x 2))
(fma.f64 x (+.f64 x -1) 1)
(+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 2))))
(+.f64 (-.f64 1 x) (fma.f64 -1 (pow.f64 x 3) (pow.f64 x 2)))
(+.f64 (-.f64 (pow.f64 x 2) (pow.f64 x 3)) (-.f64 1 x))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))))
x
(+.f64 x (*.f64 -1 (pow.f64 x 2)))
(+.f64 x (neg.f64 (pow.f64 x 2)))
(-.f64 x (pow.f64 x 2))
(+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3)))
(+.f64 x (fma.f64 -1 (pow.f64 x 2) (pow.f64 x 3)))
(+.f64 x (-.f64 (pow.f64 x 3) (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (pow.f64 x 3))))
(+.f64 x (fma.f64 -1 (pow.f64 x 2) (fma.f64 -1 (pow.f64 x 4) (pow.f64 x 3))))
(+.f64 x (-.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 4)) (pow.f64 x 2)))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 1 (/.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 1 (/.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))))
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (-.f64 1 x) (*.f64 (pow.f64 x 2) 1/2))
(+.f64 1 (fma.f64 (pow.f64 x 2) 1/2 (neg.f64 x)))
(+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (-.f64 1 x) (fma.f64 -1/2 (pow.f64 x 3) (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 (fma.f64 (pow.f64 x 2) 1/2 (*.f64 (pow.f64 x 3) -1/2)) (-.f64 1 x))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1))) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))))
(+.f64 (fma.f64 1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1))) (sqrt.f64 -1)))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1))) (fma.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 2 (pow.f64 (sqrt.f64 -1) 2)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 x 3))))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (-.f64 1 x) (*.f64 (pow.f64 x 2) 1/2))
(+.f64 1 (fma.f64 (pow.f64 x 2) 1/2 (neg.f64 x)))
(+.f64 1 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (-.f64 1 x) (fma.f64 -1/2 (pow.f64 x 3) (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 (fma.f64 (pow.f64 x 2) 1/2 (*.f64 (pow.f64 x 3) -1/2)) (-.f64 1 x))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1))) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))))
(+.f64 (fma.f64 1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1))) (sqrt.f64 -1)))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1))) (fma.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 2 (pow.f64 (sqrt.f64 -1) 2)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 x 3))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 1 (fma.f64 (pow.f64 x 2) 1/2 x))
(+.f64 1 (+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/2 (pow.f64 x 3)))))
(+.f64 1 (+.f64 x (*.f64 1/2 (+.f64 (pow.f64 x 2) (pow.f64 x 3)))))
(+.f64 1 (fma.f64 1/2 (fma.f64 x x (pow.f64 x 3)) x))
(sqrt.f64 -1)
(-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (/.f64 (/.f64 -1 x) (sqrt.f64 -1)))
(-.f64 (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (sqrt.f64 -1) (/.f64 (*.f64 -1/2 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2))) (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
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(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4) (*.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4) (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (fma.f64 -1 x -1) (/.f64 1 (neg.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 1 x))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4)) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 2))) (+.f64 1 x))
(/.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (pow.f64 x 2)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 4))
(*.f64 (/.f64 1 (-.f64 (+.f64 1 x) (fma.f64 x x x))) (pow.f64 (+.f64 1 x) 2))
(*.f64 (pow.f64 (+.f64 1 x) 2) (/.f64 1 (+.f64 1 (-.f64 x (fma.f64 x x x)))))
(/.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (fma.f64 x -1 -1) (+.f64 x -1)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3))) (fma.f64 (/.f64 x (+.f64 1 x)) (*.f64 (+.f64 1 x) (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -2)))
(*.f64 (+.f64 (/.f64 x (+.f64 1 x)) (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3))))
(/.f64 (+.f64 (/.f64 x (+.f64 1 x)) (pow.f64 (+.f64 1 x) -2)) (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2))) (*.f64 (+.f64 1 x) (/.f64 1 (+.f64 1 x))))
(/.f64 1 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2)))
(/.f64 1 (/.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 (+.f64 1 x) 2)))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))
(*.f64 (fma.f64 x (+.f64 1 x) 1) (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))))
(*.f64 (+.f64 1 x) (/.f64 (fma.f64 x (+.f64 1 x) 1) (-.f64 1 (pow.f64 x 3))))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) -1)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2) 1/2)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))
(fabs.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3) 1/3)
(/.f64 (+.f64 1 x) (-.f64 1 x))
(neg.f64 (/.f64 (+.f64 1 x) (neg.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(neg.f64 (/.f64 (fma.f64 -1 x -1) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))
(fabs.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1))
(/.f64 (+.f64 1 x) (-.f64 1 x))

eval417.0ms (6.8%)

Compiler

Compiled 15014 to 12187 computations (18.8% saved)

prune125.0ms (2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New6272629
Fresh000
Picked123
Done011
Total6285633
Accuracy
100.0%
Counts
633 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 2 (atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))
98.7%
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
98.7%
(*.f64 2 (atan.f64 (-.f64 1 x)))
100.0%
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
100.0%
(*.f64 2 (atan.f64 (sqrt.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (+.f64 1 x))))))
Compiler

Compiled 57 to 48 computations (15.8% saved)

localize299.0ms (4.9%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (+.f64 1 x) (-.f64 1 x))
100.0%
(atan.f64 (/.f64 1 (+.f64 1 x)))
100.0%
(/.f64 1 (+.f64 1 x))
Compiler

Compiled 75 to 59 computations (21.3% saved)

series2.0ms (0%)

Counts
1 → 4
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(atan.f64 (/.f64 1 (+.f64 1 x)))
1.0ms
x
@0
(atan.f64 (/.f64 1 (+.f64 1 x)))
1.0ms
x
@inf
(atan.f64 (/.f64 1 (+.f64 1 x)))

rewrite72.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
774×unpow-prod-down
452×log1p-expm1-u
452×expm1-log1p-u
435×add-exp-log
426×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
110720
2130120
Stop Event
node limit
Counts
1 → 36
Calls
Call 1
Inputs
(atan.f64 (/.f64 1 (+.f64 1 x)))
Outputs
(+.f64 0 (atan.f64 (/.f64 1 (+.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))
(-.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1)
(*.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)
(*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 5/2)) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2)
(pow.f64 (E.f64) (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) (sqrt.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(neg.f64 (atan.f64 (/.f64 -1 (+.f64 1 x))))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))
(log.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(exp.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2))

simplify75.0ms (1.2%)

Algorithm
egg-herbie
Rules
1062×fma-neg
810×log-prod
776×associate-*r*
658×associate-+r+
652×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01031313
12181110
26011098
335141098
479361098
Stop Event
node limit
Counts
40 → 44
Calls
Call 1
Inputs
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(+.f64 0 (atan.f64 (/.f64 1 (+.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))
(-.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1)
(*.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)
(*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 5/2)) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2)
(pow.f64 (E.f64) (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) (sqrt.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(neg.f64 (atan.f64 (/.f64 -1 (+.f64 1 x))))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))
(log.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(exp.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2))
Outputs
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(+.f64 0 (atan.f64 (/.f64 1 (+.f64 1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(-.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1)
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(*.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (log.f64 (E.f64)))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (atan.f64 (/.f64 1 (+.f64 1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 3))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) 1/3))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 4) 2)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 8)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 5/2)) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3))))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 4) 2)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 8)) (cbrt.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 5/2)) (cbrt.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3)
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2) 1/2)
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3) 1/3)
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2)
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(pow.f64 (E.f64) (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))) (sqrt.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))))
(neg.f64 (atan.f64 (/.f64 -1 (+.f64 1 x))))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(log.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(exp.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 3))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 1/3))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x))))) 2))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))

eval75.0ms (1.2%)

Compiler

Compiled 2885 to 2475 computations (14.2% saved)

prune26.0ms (0.4%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New1732175
Fresh000
Picked022
Done033
Total1737180
Accuracy
100.0%
Counts
180 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1))
98.7%
(*.f64 2 (atan.f64 (fma.f64 x (+.f64 x -1) 1)))
100.0%
(*.f64 2 (atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))
98.7%
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
98.7%
(*.f64 2 (atan.f64 (-.f64 1 x)))
100.0%
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
100.0%
(*.f64 2 (atan.f64 (sqrt.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (+.f64 1 x))))))
Compiler

Compiled 80 to 68 computations (15% saved)

localize149.0ms (2.4%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
100.0%
(atan.f64 (/.f64 1 (+.f64 1 x)))
100.0%
(/.f64 1 (+.f64 1 x))
100.0%
(+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
100.0%
(-.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1)
100.0%
(atan.f64 (fma.f64 x (+.f64 x -1) 1))
Compiler

Compiled 78 to 63 computations (19.2% saved)

series6.0ms (0.1%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(atan.f64 (fma.f64 x (+.f64 x -1) 1))
1.0ms
x
@-inf
(atan.f64 (fma.f64 x (+.f64 x -1) 1))
1.0ms
x
@inf
(atan.f64 (fma.f64 x (+.f64 x -1) 1))
1.0ms
x
@-inf
(+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
1.0ms
x
@inf
(+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))

rewrite117.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
1116×log1p-expm1-u
1116×expm1-log1p-u
730×prod-diff
110×associate-*r*
108×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01783
123871
2337171
Stop Event
node limit
Counts
3 → 94
Calls
Call 1
Inputs
(atan.f64 (fma.f64 x (+.f64 x -1) 1))
(-.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1)
(+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1)))) 1)
(*.f64 1 (atan.f64 (fma.f64 x (+.f64 x -1) 1)))
(*.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1)) 1)
(*.f64 (cbrt.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))) (pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))) 2) (cbrt.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))))
(*.f64 (sqrt.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))) (sqrt.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))))
(pow.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1)) 1)
(pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))) 3)
(pow.f64 (pow.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1)) 2))
(log.f64 (exp.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1)))))
(cbrt.f64 (pow.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1)) 3))
(expm1.f64 (log1p.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))))
(log1p.f64 (expm1.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))))
(exp.f64 (log.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))) 1))
(+.f64 -1 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))))
(+.f64 1 (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) -1))
(+.f64 1 (*.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) -1) 1))
(+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 0)
(+.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) -1)
(+.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) -1) 1)
(*.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))
(*.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 1)
(*.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))) 2) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))) (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 2) (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 2) -1) (/.f64 1 (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) 1) (-.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 2) (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2)) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 2) (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 2) (-.f64 1 (*.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 2) -1) (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 2) -1) (-.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 2) (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 2) -1)) (neg.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) -1) (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) -1)) (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) -1) (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) -1))) (-.f64 1 (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) -1)))
(pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 1)
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))) 3)
(pow.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2))
(log.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 1 (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 3))
(atan.f64 (/.f64 1 (+.f64 x 1)))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))))
(exp.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))) 1))
(fma.f64 1 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) 2) (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) -1)
(-.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) (/.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2) (-.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))))
(*.f64 1 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))))
(*.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) 2) (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) 1))
(*.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))))
(*.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) (*.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) 1))
(*.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2) (atan.f64 (/.f64 1 (+.f64 x 1)))))))
(*.f64 (-.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2)) (/.f64 1 (-.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2) (atan.f64 (/.f64 1 (+.f64 x 1))))) (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 3))))
(/.f64 1 (/.f64 (-.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) (-.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 3)) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2) (atan.f64 (/.f64 1 (+.f64 x 1))))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 3)) (+.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2) (-.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))))
(/.f64 (-.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2)) (-.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2) (atan.f64 (/.f64 1 (+.f64 x 1)))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2))) (neg.f64 (-.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2) 1) (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2) (atan.f64 (/.f64 1 (+.f64 x 1))))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2)) 1) (-.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))))
(pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 2))
(log.f64 (exp.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 3))
(expm1.f64 (log.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2)))
(log1p.f64 (expm1.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))))
(exp.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))))
(exp.f64 (*.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))) 1))
(fma.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))) 2) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))) 1)
(fma.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))) (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))) 1)

simplify85.0ms (1.4%)

Algorithm
egg-herbie
Rules
1284×times-frac
1052×cancel-sign-sub-inv
980×fma-neg
868×unswap-sqr
838×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02124553
14614354
219124344
Stop Event
node limit
Counts
122 → 119
Calls
Call 1
Inputs
(atan.f64 (+.f64 1 (*.f64 x (-.f64 x 1))))
(atan.f64 (+.f64 1 (*.f64 x (-.f64 x 1))))
(atan.f64 (+.f64 1 (*.f64 x (-.f64 x 1))))
(atan.f64 (+.f64 1 (*.f64 x (-.f64 x 1))))
(atan.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) x))
(atan.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) x))
(atan.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) x))
(atan.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) x))
(atan.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(atan.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(atan.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(atan.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x)))))
(+.f64 1 (atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x)))))
(+.f64 1 (atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x)))))
(+.f64 1 (atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x)))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1)))) 1)
(*.f64 1 (atan.f64 (fma.f64 x (+.f64 x -1) 1)))
(*.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1)) 1)
(*.f64 (cbrt.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))) (pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))) 2) (cbrt.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))))
(*.f64 (sqrt.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))) (sqrt.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))))
(pow.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1)) 1)
(pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))) 3)
(pow.f64 (pow.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1)) 2))
(log.f64 (exp.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1)))))
(cbrt.f64 (pow.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1)) 3))
(expm1.f64 (log1p.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))))
(log1p.f64 (expm1.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))))
(exp.f64 (log.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (fma.f64 x (+.f64 x -1) 1))) 1))
(+.f64 -1 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))))
(+.f64 1 (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) -1))
(+.f64 1 (*.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) -1) 1))
(+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 0)
(+.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) -1)
(+.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) -1) 1)
(*.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))
(*.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 1)
(*.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))) 2) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))) (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 2) (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 2) -1) (/.f64 1 (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) 1) (-.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 2) (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2)) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 2) (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 2) (-.f64 1 (*.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 2) -1) (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 2) -1) (-.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 2) (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 2) -1)) (neg.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) -1) (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) -1)) (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) -1) (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) -1))) (-.f64 1 (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) -1)))
(pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 1)
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))) 3)
(pow.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2))
(log.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 1 (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 3))
(atan.f64 (/.f64 1 (+.f64 x 1)))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))))
(exp.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))) 1))
(fma.f64 1 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) 2) (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) -1)
(-.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) (/.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2) (-.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))))
(*.f64 1 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))))
(*.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) 2) (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) 1))
(*.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))))
(*.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) (*.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) 1))
(*.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2) (atan.f64 (/.f64 1 (+.f64 x 1)))))))
(*.f64 (-.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2)) (/.f64 1 (-.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2) (atan.f64 (/.f64 1 (+.f64 x 1))))) (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 3))))
(/.f64 1 (/.f64 (-.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) (-.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 3)) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2) (atan.f64 (/.f64 1 (+.f64 x 1))))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 3)) (+.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2) (-.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))))
(/.f64 (-.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2)) (-.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2) (atan.f64 (/.f64 1 (+.f64 x 1)))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2))) (neg.f64 (-.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2) 1) (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2) (atan.f64 (/.f64 1 (+.f64 x 1))))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2)) 1) (-.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))))
(pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 2))
(log.f64 (exp.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 3))
(expm1.f64 (log.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2)))
(log1p.f64 (expm1.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))))
(exp.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))))
(exp.f64 (*.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))) 1))
(fma.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))) 2) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))) 1)
(fma.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))) (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))) 1)
Outputs
(atan.f64 (+.f64 1 (*.f64 x (-.f64 x 1))))
(atan.f64 (fma.f64 x (+.f64 x -1) 1))
(atan.f64 (+.f64 1 (*.f64 x (-.f64 x 1))))
(atan.f64 (fma.f64 x (+.f64 x -1) 1))
(atan.f64 (+.f64 1 (*.f64 x (-.f64 x 1))))
(atan.f64 (fma.f64 x (+.f64 x -1) 1))
(atan.f64 (+.f64 1 (*.f64 x (-.f64 x 1))))
(atan.f64 (fma.f64 x (+.f64 x -1) 1))
(atan.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) x))
(atan.f64 (fma.f64 x (+.f64 x -1) 1))
(atan.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) x))
(atan.f64 (fma.f64 x (+.f64 x -1) 1))
(atan.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) x))
(atan.f64 (fma.f64 x (+.f64 x -1) 1))
(atan.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) x))
(atan.f64 (fma.f64 x (+.f64 x -1) 1))
(atan.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(atan.f64 (fma.f64 x (+.f64 x -1) 1))
(atan.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(atan.f64 (fma.f64 x (+.f64 x -1) 1))
(atan.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(atan.f64 (fma.f64 x (+.f64 x -1) 1))
(atan.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(atan.f64 (fma.f64 x (+.f64 x -1) 1))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (+.f64 1 x)))
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(/.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) (-.f64 1 (*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (-.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))))))
(*.f64 (-.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2)) (/.f64 1 (-.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))))
(/.f64 (-.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) (-.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) (+.f64 -1 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2) (atan.f64 (/.f64 1 (+.f64 x 1))))) (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 3))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2) (atan.f64 (/.f64 1 (+.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) (+.f64 1 (*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (-.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) (-.f64 1 (*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (-.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))))))
(/.f64 1 (/.f64 (-.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) (-.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2))))
(/.f64 (-.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) (-.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) (+.f64 -1 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 3)) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2) (atan.f64 (/.f64 1 (+.f64 x 1))))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2) (atan.f64 (/.f64 1 (+.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) (+.f64 1 (*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (-.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) (-.f64 1 (*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (-.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 3)) (+.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2) (-.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2) (atan.f64 (/.f64 1 (+.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) (+.f64 1 (*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (-.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) (-.f64 1 (*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (-.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))))))
(/.f64 (-.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2)) (-.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))))
(/.f64 (-.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) (-.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) (+.f64 -1 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2) (atan.f64 (/.f64 1 (+.f64 x 1)))))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2) (atan.f64 (/.f64 1 (+.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) (+.f64 1 (*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (-.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) (-.f64 1 (*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (-.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2))) (neg.f64 (-.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))))
(/.f64 (-.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) (-.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) (+.f64 -1 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2) 1) (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) -1))
(/.f64 (-.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) (-.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) (+.f64 -1 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2) (atan.f64 (/.f64 1 (+.f64 x 1))))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2) (atan.f64 (/.f64 1 (+.f64 1 x))))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) (+.f64 1 (*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (-.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3)) (-.f64 1 (*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) (-.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2)) 1) (-.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))))
(/.f64 (-.f64 1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) (-.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2)) (+.f64 -1 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 1)
(+.f64 1 (atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x)))))
(+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
(pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) 3)
(+.f64 1 (atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x)))))
(+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
(pow.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 3) 1/3)
(+.f64 1 (atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x)))))
(+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
(pow.f64 (sqrt.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))) 2)
(+.f64 1 (atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x)))))
(+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 2))
(+.f64 1 (atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x)))))
(+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
(log.f64 (exp.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))))
(+.f64 1 (atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x)))))
(+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))))))
(+.f64 1 (atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x)))))
(+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1)))) 3))
(+.f64 1 (atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x)))))
(+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
(expm1.f64 (log.f64 (+.f64 (atan.f64 (/.f64 1 (+.f64 x 1))) 2)))
(+.f64 1 (atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x)))))
(+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))))))
(+.f64 1 (atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x)))))
(+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
(exp.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))))
(+.f64 1 (atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x)))))
(+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
(exp.f64 (*.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))) 1))
(+.f64 1 (atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x)))))
(+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
(fma.f64 1 (atan.f64 (/.f64 1 (+.f64 x 1))) 1)
(+.f64 1 (atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x)))))
(+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))) 2) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))) 1)
(+.f64 1 (atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x)))))
(+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
(fma.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))) (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 x 1)))) 1)
(+.f64 1 (atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x)))))
(+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))

eval86.0ms (1.4%)

Compiler

Compiled 4020 to 3634 computations (9.6% saved)

prune37.0ms (0.6%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New2121213
Fresh000
Picked202
Done055
Total2146220
Accuracy
100.0%
Counts
220 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 2 (atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))
98.7%
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
98.7%
(*.f64 2 (atan.f64 (-.f64 1 x)))
98.7%
(*.f64 2 (atan.f64 (+.f64 1 (*.f64 x (-.f64 x 1)))))
100.0%
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
100.0%
(*.f64 2 (atan.f64 (sqrt.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (+.f64 1 x))))))
Compiler

Compiled 165 to 138 computations (16.4% saved)

regimes16.0ms (0.3%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 2 (atan.f64 (+.f64 1 (*.f64 x (-.f64 x 1)))))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1))
(*.f64 2 (atan.f64 (fma.f64 x (+.f64 x -1) 1)))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(*.f64 2 (atan.f64 (sqrt.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (+.f64 1 x))))))
Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (+.f64 1 x))))))
Calls

5 calls:

6.0ms
x
2.0ms
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
2.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))
2.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
2.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
100.0%1(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
100.0%1(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
100.0%1(/.f64 (-.f64 1 x) (+.f64 1 x))
Compiler

Compiled 41 to 32 computations (22% saved)

regimes40.0ms (0.7%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 2 (atan.f64 (+.f64 1 (*.f64 x (-.f64 x 1)))))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1))
(*.f64 2 (atan.f64 (fma.f64 x (+.f64 x -1) 1)))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
Outputs
(*.f64 2 (atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))
Calls

5 calls:

27.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))
5.0ms
x
2.0ms
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
2.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
2.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
100.0%1(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
100.0%1(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
100.0%1(/.f64 (-.f64 1 x) (+.f64 1 x))
Compiler

Compiled 41 to 32 computations (22% saved)

regimes14.0ms (0.2%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 2 (atan.f64 (+.f64 1 (*.f64 x (-.f64 x 1)))))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1))
(*.f64 2 (atan.f64 (fma.f64 x (+.f64 x -1) 1)))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Calls

5 calls:

5.0ms
x
2.0ms
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
2.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
2.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
2.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
100.0%1(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
100.0%1(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
100.0%1(/.f64 (-.f64 1 x) (+.f64 1 x))
Compiler

Compiled 41 to 32 computations (22% saved)

regimes6.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 2 (atan.f64 (+.f64 1 (*.f64 x (-.f64 x 1)))))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1))
(*.f64 2 (atan.f64 (fma.f64 x (+.f64 x -1) 1)))
Outputs
(*.f64 2 (atan.f64 (+.f64 1 (*.f64 x (-.f64 x 1)))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
98.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0.5%)

Threshold costs -0b (-0.5%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
Outputs
(*.f64 2 (atan.f64 (-.f64 1 x)))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Rules
32×unsub-neg
22×*-commutative
20×neg-mul-1
20×+-commutative
14×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032189
151189
264189
377189
496189
5124189
6126189
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 (sqrt.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (+.f64 1 x))))))
(*.f64 2 (atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (+.f64 1 (*.f64 x (-.f64 x 1)))))
(*.f64 2 (atan.f64 (-.f64 1 x)))
Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (+.f64 1 x))))))
(*.f64 2 (atan.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (-.f64 -1 x))))))
(*.f64 2 (atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (+.f64 1 (*.f64 x (-.f64 x 1)))))
(*.f64 2 (atan.f64 (+.f64 1 (*.f64 x (+.f64 x -1)))))
(*.f64 2 (atan.f64 (-.f64 1 x)))
Compiler

Compiled 59 to 49 computations (16.9% saved)

soundness1.3s (20.5%)

Rules
1398×unpow-prod-down
1398×unpow-prod-down
1238×fma-neg
1024×fma-define
1022×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01154
113754
2190254
078120992
1199816576
2740416507
01154
113754
2190254
085026301
1209724076
2739024074
017186
1280186
24149186
Stop Event
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 411 to 337 computations (18% saved)

end0.0ms (0%)

preprocess56.0ms (0.9%)

Compiler

Compiled 134 to 110 computations (17.9% saved)

Profiling

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