Details

Time bar (total: 6.2s)

analyze10.0ms (0.2%)

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%75%0%0%25%0%3
40%25%37.5%0%0%37.5%0%4
66.7%37.5%18.7%0%0%43.7%0%5
82.4%43.7%9.4%0%0%46.9%0%6
90.9%46.9%4.7%0%0%48.4%0%7
95.4%48.4%2.3%0%0%49.2%0%8
97.7%49.2%1.2%0%0%49.6%0%9
98.8%49.6%0.6%0%0%49.8%0%10
99.4%49.8%0.3%0%0%49.9%0%11
99.7%49.9%0.1%0%0%49.9%0%12
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.2s (18.6%)

Results
1.1s8256×body256valid
1.0ms10×body256invalid
Bogosity

preprocess65.0ms (1%)

Algorithm
egg-herbie
Rules
448×fma-def
400×associate--l-
288×associate--r-
258×associate-+l-
216×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01233
12133
22733
33833
46033
58733
612833
721133
839333
964933
1093733
11124533
12177333
13220533
14270233
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(*.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)))))
Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify60.0ms (1%)

Algorithm
egg-herbie
Rules
448×fma-def
400×associate--l-
288×associate--r-
258×associate-+l-
216×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01233
12133
22733
33833
46033
58733
612833
721133
839333
964933
1093733
11124533
12177333
13220533
14270233
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(*.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)))))

eval0.0ms (0%)

Compiler

Compiled 12 to 10 computations (16.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize18.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
0.0b
(/.f64 (-.f64 1 x) (+.f64 1 x))
Compiler

Compiled 45 to 34 computations (24.4% saved)

series1.0ms (0%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/.f64 (-.f64 1 x) (+.f64 1 x))
0.0ms
x
@0
(/.f64 (-.f64 1 x) (+.f64 1 x))
0.0ms
x
@-inf
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
0.0ms
x
@-inf
(/.f64 (-.f64 1 x) (+.f64 1 x))
0.0ms
x
@inf
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))

rewrite70.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1636×associate-/r*
1146×associate-/l*
980×*-commutative
978×associate-/r/
538×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01046
121246
2285146
Stop Event
node limit
Counts
2 → 106
Calls
Call 1
Inputs
(/.f64 (-.f64 1 x) (+.f64 1 x))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
Outputs
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simplify70.0ms (1.1%)

Algorithm
egg-herbie
Rules
1338×associate-*r/
1160×associate-/r*
1116×associate-*l/
878×unswap-sqr
448×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02854740
18224394
231544362
Stop Event
node limit
Counts
122 → 188
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
-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)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(+.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 (/.f64 x (+.f64 1 x))))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 1 (neg.f64 (/.f64 x (+.f64 1 x)))))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (neg.f64 (/.f64 x (+.f64 1 x))) 1))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))
(+.f64 (neg.f64 (/.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 1 x)))
(+.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)) (/.f64 1 (+.f64 1 x)))
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(+.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (-.f64 (*.f64 x x) x)) (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) 1))
(+.f64 (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 1 x)))
(+.f64 (*.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 (*.f64 x x) x) (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 (-.f64 (*.f64 x x) x) (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (*.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))))
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (+.f64 1 x)))
(-.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 (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 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (*.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 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2)))
(*.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))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x))
(*.f64 (-.f64 (*.f64 x x) (-.f64 x 1)) (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))))
(*.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 (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 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (-.f64 1 x) (sqrt.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) (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 x) 2))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (*.f64 (-.f64 1 x) (-.f64 (*.f64 x x) (-.f64 x 1))))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (-.f64 (*.f64 x x) (-.f64 x 1)))
(*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 -1 x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)) (sqrt.f64 (-.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 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1))
(*.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 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.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) (+.f64 1 x)) (cbrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) (neg.f64 (-.f64 1 (*.f64 x x)))) (+.f64 -1 x))
(*.f64 (/.f64 (-.f64 1 x) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (neg.f64 (-.f64 (*.f64 x x) (-.f64 x 1))))
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 x x)))) (pow.f64 (-.f64 1 x) 2))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (cbrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) (/.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (cbrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) (-.f64 (*.f64 x x) 1)) (-.f64 x 1))
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 (*.f64 x x) (-.f64 x 1)) (-.f64 (*.f64 x x) (-.f64 x 1))))
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 1 x) (-.f64 (*.f64 x x) (-.f64 x 1))))
(*.f64 (/.f64 (+.f64 -1 x) (neg.f64 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))
(*.f64 (/.f64 (+.f64 -1 x) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (-.f64 (*.f64 x x) (-.f64 x 1)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 (pow.f64 x 3))) (-.f64 1 (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (-.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (pow.f64 (fma.f64 x x x) 3))) (+.f64 1 (-.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (fma.f64 x x x))))
(*.f64 (/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1))))
(*.f64 (/.f64 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1))))
(*.f64 (/.f64 (-.f64 (+.f64 1 x) (fma.f64 x x x)) (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 x x)))) (pow.f64 (-.f64 1 x) 2))
(*.f64 (/.f64 (-.f64 (+.f64 1 x) (fma.f64 x x x)) (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 (*.f64 x x) (-.f64 x 1)) (-.f64 (*.f64 x x) (-.f64 x 1))))
(*.f64 (/.f64 (-.f64 (+.f64 1 x) (fma.f64 x x x)) (*.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x)))) (-.f64 1 x))
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(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
Outputs
1
(+.f64 1 (*.f64 -2 x))
(fma.f64 -2 x 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 x 1))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 -2 (+.f64 x (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 1))
-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 (*.f64 x x))))
(-.f64 (+.f64 -1 (/.f64 2 x)) (/.f64 2 (*.f64 x x)))
(-.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 (*.f64 x x))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
-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 (*.f64 x x))))
(-.f64 (+.f64 -1 (/.f64 2 x)) (/.f64 2 (*.f64 x x)))
(-.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 (*.f64 x x))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(+.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 1 (neg.f64 (/.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (neg.f64 (/.f64 x (+.f64 1 x))) 1))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(+.f64 (neg.f64 (/.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(+.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)) (/.f64 1 (+.f64 1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(+.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) 1) (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (-.f64 (*.f64 x x) x)))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 (fma.f64 x x (neg.f64 x)) 1))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(+.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (-.f64 (*.f64 x x) x)) (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) 1))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 (fma.f64 x x (neg.f64 x)) 1))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(+.f64 (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(+.f64 (*.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 (*.f64 x x) x) (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 (fma.f64 x x (neg.f64 x)) 1))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(+.f64 (*.f64 (-.f64 (*.f64 x x) x) (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (*.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 (fma.f64 x x (neg.f64 x)) 1))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (+.f64 1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(/.f64 (-.f64 1 x) (+.f64 1 x))
(*.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(*.f64 (-.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)
(/.f64 (-.f64 1 x) (+.f64 1 x))
(*.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 x))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))
(/.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 (-.f64 1 x) (+.f64 1 x))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (*.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 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2)))
(*.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 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (*.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))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (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 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2)))
(*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(*.f64 (-.f64 (*.f64 x x) (-.f64 x 1)) (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 (fma.f64 x x (neg.f64 x)) 1))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (+.f64 -1 x) (/.f64 1 (-.f64 -1 x)))
(*.f64 (+.f64 x -1) (/.f64 1 (-.f64 -1 x)))
(/.f64 (+.f64 x -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 x) (+.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 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.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 1 x) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.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 1 x) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (/.f64 1 (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 1 x) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(*.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 x) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 x) 2))
(/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (*.f64 (-.f64 1 x) (-.f64 (*.f64 x x) (-.f64 x 1))))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 (fma.f64 x x (neg.f64 x)) 1))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (-.f64 (*.f64 x x) (-.f64 x 1)))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 (fma.f64 x x (neg.f64 x)) 1))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 -1 x)) (+.f64 -1 x))
(*.f64 (+.f64 x -1) (/.f64 1 (-.f64 -1 x)))
(/.f64 (+.f64 x -1) (-.f64 -1 x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)) (sqrt.f64 (-.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 1 x) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(*.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 x) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (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 1 x) (+.f64 1 x))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1))
(/.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 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 1 x) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (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 1 x) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.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 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))
(*.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 (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) (+.f64 1 x)) (cbrt.f64 (-.f64 1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) (neg.f64 (-.f64 1 (*.f64 x x)))) (+.f64 -1 x))
(/.f64 (*.f64 (-.f64 1 x) (+.f64 x -1)) (neg.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (-.f64 1 x) (/.f64 (+.f64 x -1) (fma.f64 x x -1)))
(/.f64 (neg.f64 (pow.f64 (-.f64 1 x) 2)) (fma.f64 x x -1))
(*.f64 (/.f64 (-.f64 1 x) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (neg.f64 (-.f64 (*.f64 x x) (-.f64 x 1))))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 -1 (neg.f64 (pow.f64 x 3)))) (neg.f64 (+.f64 (fma.f64 x x (neg.f64 x)) 1)))
(*.f64 (/.f64 (-.f64 1 x) (-.f64 -1 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 (+.f64 x -1) (-.f64 -1 (pow.f64 x 3))))
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 x x)))) (pow.f64 (-.f64 1 x) 2))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 x) 2))
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(-.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)
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(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
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eval73.0ms (1.2%)

Compiler

Compiled 4090 to 3078 computations (24.7% saved)

prune26.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1844188
Fresh000
Picked011
Done000
Total1845189
Error
0b
Counts
189 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
1.0b
(*.f64 2 (log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.3b
(*.f64 2 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))))
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 x) 2)))))
0.9b
(*.f64 2 (atan.f64 (sqrt.f64 1)))
Compiler

Compiled 60 to 52 computations (13.3% saved)

localize6.0ms (0.1%)

Compiler

Compiled 13 to 13 computations (0% saved)

localize30.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (-.f64 1 (*.f64 x x)))
0.0b
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 x) 2))
0.0b
(atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 x) 2))))
0.0b
(pow.f64 (-.f64 1 x) 2)
Compiler

Compiled 86 to 59 computations (31.4% saved)

series2.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/.f64 1 (-.f64 1 (*.f64 x x)))
0.0ms
x
@-inf
(atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 x) 2))))
0.0ms
x
@inf
(pow.f64 (-.f64 1 x) 2)
0.0ms
x
@0
(pow.f64 (-.f64 1 x) 2)
0.0ms
x
@inf
(atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 x) 2))))

rewrite102.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
1742×associate-*l/
752×associate-/r*
676×associate-/l*
572×associate-/r/
424×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014102
130078
2376878
Stop Event
node limit
Counts
4 → 310
Calls
Call 1
Inputs
(pow.f64 (-.f64 1 x) 2)
(atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 x) 2))))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 x) 2))
(/.f64 1 (-.f64 1 (*.f64 x x)))
Outputs
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x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 x (*.f64 (-.f64 1 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 x (*.f64 (neg.f64 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 2 x))) (-.f64 1 (*.f64 (-.f64 1 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 2 x))) (-.f64 1 (*.f64 (neg.f64 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 1 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 x)) (-.f64 (/.f64 x (/.f64 (+.f64 1 x) x)) (*.f64 (-.f64 1 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 x)) (-.f64 (/.f64 x (/.f64 (+.f64 1 x) x)) (*.f64 (neg.f64 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (fma.f64 x x x))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x))) (*.f64 (-.f64 1 x) 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(*.f64 x x)))))))))

simplify119.0ms (1.9%)

Algorithm
egg-herbie
Rules
992×associate-/r*
960×distribute-lft-in
876×associate-*r*
872×distribute-rgt-in
824×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079916424
1237416246
Stop Event
node limit
Counts
358 → 528
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -2 x))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -2 x) (pow.f64 x 2))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -2 x) (pow.f64 x 2))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
-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 (pow.f64 x 2))
(+.f64 1 (+.f64 (pow.f64 x 2) (pow.f64 x 4)))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (pow.f64 x 6))))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))))
(+.f64 1 (+.f64 (neg.f64 x) (*.f64 (-.f64 1 x) (neg.f64 x))))
(+.f64 1 (+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (-.f64 1 x) (neg.f64 x))))
(+.f64 1 (+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (-.f64 1 x))))
(+.f64 1 (+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 x) (-.f64 1 x))))
(+.f64 (-.f64 1 x) (*.f64 (-.f64 1 x) (neg.f64 x)))
(+.f64 (-.f64 1 x) (*.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 (neg.f64 x) (+.f64 1 (*.f64 (-.f64 1 x) (neg.f64 x))))
(+.f64 (neg.f64 x) (+.f64 1 (*.f64 (neg.f64 x) (-.f64 1 x))))
(+.f64 (*.f64 (-.f64 1 x) (neg.f64 x)) (-.f64 1 x))
(+.f64 (*.f64 (neg.f64 x) (-.f64 1 x)) (-.f64 1 x))
(-.f64 1 (-.f64 x (*.f64 (-.f64 1 x) (neg.f64 x))))
(-.f64 1 (-.f64 x (*.f64 (neg.f64 x) (-.f64 1 x))))
(-.f64 (exp.f64 (log.f64 (-.f64 2 x))) (-.f64 1 (*.f64 (-.f64 1 x) (neg.f64 x))))
(-.f64 (exp.f64 (log.f64 (-.f64 2 x))) (-.f64 1 (*.f64 (neg.f64 x) (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 1 x) 2))) 1)
(-.f64 (/.f64 1 (+.f64 1 x)) (-.f64 (/.f64 x (/.f64 (+.f64 1 x) x)) (*.f64 (-.f64 1 x) (neg.f64 x))))
(-.f64 (/.f64 1 (+.f64 1 x)) (-.f64 (/.f64 x (/.f64 (+.f64 1 x) x)) (*.f64 (neg.f64 x) (-.f64 1 x))))
(-.f64 (/.f64 1 (+.f64 1 (fma.f64 x x x))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x))) (*.f64 (-.f64 1 x) (neg.f64 x))))
(-.f64 (/.f64 1 (+.f64 1 (fma.f64 x x x))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x))) (*.f64 (neg.f64 x) (-.f64 1 x))))
(*.f64 1 (pow.f64 (-.f64 1 x) 2))
(*.f64 (-.f64 1 x) (-.f64 1 x))
(*.f64 (pow.f64 (-.f64 1 x) 2) 1)
(*.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) (cbrt.f64 (pow.f64 (-.f64 1 x) 4)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) (*.f64 (cbrt.f64 (-.f64 1 x)) (-.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 4)) (cbrt.f64 (pow.f64 (-.f64 1 x) 2)))
(*.f64 (*.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (*.f64 (-.f64 1 x) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (cbrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(*.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 1 (pow.f64 x 3))) (-.f64 (+.f64 1 (*.f64 x x)) x))
(*.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 3))) (-.f64 1 (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (-.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (pow.f64 (fma.f64 x x x) 3))) (+.f64 1 (-.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (fma.f64 x x x))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x)) (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(*.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x)) (+.f64 1 (pow.f64 x 3))) (-.f64 (+.f64 1 (*.f64 x x)) x))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 1 x)) (-.f64 1 (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (-.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 1 x)) (+.f64 1 (pow.f64 (fma.f64 x x x) 3))) (+.f64 1 (-.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (fma.f64 x x x))))
(/.f64 1 (/.f64 1 (pow.f64 (-.f64 1 x) 2)))
(/.f64 1 (/.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (pow.f64 (-.f64 1 (*.f64 x x)) 2)))
(/.f64 (-.f64 1 x) (/.f64 1 (-.f64 1 x)))
(/.f64 (pow.f64 (-.f64 1 x) 2) 1)
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (+.f64 1 x) (-.f64 1 x)))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1 (*.f64 x x))))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (*.f64 (+.f64 1 x) (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 (*.f64 x x)))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) (/.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 (*.f64 x x)))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 x) 4))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (*.f64 (cbrt.f64 (-.f64 1 x)) (-.f64 1 x))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 4)) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 x) 2))))
(/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) (*.f64 (+.f64 1 x) (+.f64 1 x)))
(/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) (*.f64 1 (*.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3))))
(/.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 1 x)))
(/.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 x)) (-.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (pow.f64 x 4))) (*.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (*.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) (-.f64 1 (pow.f64 x 6))) (*.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (*.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 (fma.f64 x x x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 1 (pow.f64 x 3))) (*.f64 1 (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 (fma.f64 x x x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (/.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)))
(/.f64 (*.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 x))) (/.f64 1 (sqrt.f64 (-.f64 1 x))))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) 1) (*.f64 (+.f64 1 x) (+.f64 1 x)))
(/.f64 (*.f64 (-.f64 1 x) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (/.f64 1 (cbrt.f64 (-.f64 1 x))))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (/.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(/.f64 (*.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 4))) (*.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 6))) (*.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x)) (+.f64 1 x))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 1 x)) (+.f64 1 (fma.f64 x x x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (*.f64 x x))) (*.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 (*.f64 x x))))
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(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 1 x) (+.f64 1 (fma.f64 x x x))))
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(/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 1 (*.f64 x x))) (-.f64 1 (pow.f64 x 4)))
(/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))) (-.f64 1 (pow.f64 x 6)))
(/.f64 (*.f64 (-.f64 1 x) (/.f64 (-.f64 1 x) (cbrt.f64 (-.f64 1 (*.f64 x x))))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 4)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) (-.f64 1 (*.f64 x x)))) 1)
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 4)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 4)) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 (+.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) (/.f64 1 (+.f64 1 x))) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (+.f64 1 x))) (*.f64 (+.f64 1 x) (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 x))) (*.f64 (+.f64 1 x) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (*.f64 (+.f64 -1 (*.f64 x x)) (/.f64 1 (+.f64 1 x))) (neg.f64 (+.f64 1 x)))
(/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (/.f64 (-.f64 1 x) (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (+.f64 1 x)))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) -1) 1) (+.f64 -1 (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) -1) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) -1) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (neg.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) -1) -1) (-.f64 1 (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) -1) (sqrt.f64 (+.f64 -1 (*.f64 x x)))) (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) -1) (*.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x))))) (cbrt.f64 (+.f64 -1 (*.f64 x x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) -1) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) -1) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (/.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) 1) (+.f64 -1 (*.f64 x x)))
(/.f64 (/.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (neg.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) -1) (-.f64 1 (*.f64 x x)))
(/.f64 (/.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 (+.f64 -1 (*.f64 x x)))) (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(/.f64 (/.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (*.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x))))) (cbrt.f64 (+.f64 -1 (*.f64 x x))))
(/.f64 (/.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (/.f64 (*.f64 -1 (pow.f64 (-.f64 1 x) 2)) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (/.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (/.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) 1) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (/.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))) (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 1 x) 2)) 1) (+.f64 -1 (*.f64 x x)))
(/.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 1 x) 2)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (neg.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 1 x) 2)) -1) (-.f64 1 (*.f64 x x)))
(/.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 (+.f64 -1 (*.f64 x x)))) (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 1 x) 2)) (*.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x))))) (cbrt.f64 (+.f64 -1 (*.f64 x x))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 1 x) 2)) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 1 x) 2)) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(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)
(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 (pow.f64 (-.f64 1 x) 2) 3) (/.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3))))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3)) (pow.f64 (pow.f64 (-.f64 1 x) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))) 1)
(*.f64 1 (/.f64 1 (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 1)
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 -1 (/.f64 1 (+.f64 -1 (*.f64 x x))))
(*.f64 (/.f64 1 (+.f64 -1 (*.f64 x x))) -1)
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 x x)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 6))) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) -1) (pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) -1))
(*.f64 (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 x 4)))) (+.f64 1 (pow.f64 x 4)))
(*.f64 (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 (pow.f64 x 4) 3))) (+.f64 1 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 4) (pow.f64 x 4)))))
(*.f64 (/.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))) (-.f64 1 (*.f64 (pow.f64 x 6) (pow.f64 x 6)))) (+.f64 1 (pow.f64 x 6)))
(*.f64 (/.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))) (-.f64 1 (pow.f64 (pow.f64 x 6) 3))) (+.f64 1 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 6) (pow.f64 x 6)))))
(*.f64 (/.f64 1 (neg.f64 (-.f64 1 (pow.f64 x 4)))) (neg.f64 (+.f64 1 (*.f64 x x))))
(*.f64 (/.f64 1 (neg.f64 (-.f64 1 (pow.f64 x 6)))) (neg.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))))) (+.f64 1 (*.f64 x x)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (*.f64 x (neg.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 x (neg.f64 x)))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 1 (pow.f64 x 4)))) (+.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 1 (pow.f64 x 6)))) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2)) (cbrt.f64 (-.f64 1 (pow.f64 x 4)))) (cbrt.f64 (+.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2)) (cbrt.f64 (-.f64 1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(pow.f64 (-.f64 1 (*.f64 x x)) -1)
(pow.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 1)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 3)
(pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3)) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 x (neg.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 x (neg.f64 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))))
Outputs
1
(+.f64 1 (*.f64 -2 x))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -2 x (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 -2 x)))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -2 x (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 -2 x)))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -2 x) (pow.f64 x 2))
(fma.f64 -2 x (*.f64 x x))
(*.f64 x (+.f64 -2 x))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -2 x (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 -2 x)))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -2 x (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 -2 x)))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -2 x) (pow.f64 x 2))
(fma.f64 -2 x (*.f64 x x))
(*.f64 x (+.f64 -2 x))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -2 x (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 -2 x)))
(+.f64 1 (+.f64 (*.f64 -2 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -2 x (*.f64 x x)))
(+.f64 1 (*.f64 x (+.f64 -2 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 -2 (+.f64 x (pow.f64 x 3)))))
-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 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(-.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 (*.f64 x x)))))
-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 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(-.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 (*.f64 x x)))))
1
(+.f64 1 (pow.f64 x 2))
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(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 -1 (/.f64 1 (+.f64 -1 (*.f64 x x))))
(/.f64 1 (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 1 (+.f64 -1 (*.f64 x x))) -1)
(/.f64 1 (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 x x)))
(/.f64 (*.f64 1 (+.f64 1 (*.f64 x x))) (-.f64 1 (pow.f64 x 4)))
(/.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 4)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 6))) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))
(*.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (/.f64 1 (-.f64 1 (pow.f64 x 6))))
(/.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) -1) (pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) -1))
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)))
(*.f64 (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 x 4)))) (+.f64 1 (pow.f64 x 4)))
(*.f64 (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 8))) (+.f64 1 (pow.f64 x 4)))
(*.f64 (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 (pow.f64 x 4) 3))) (+.f64 1 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 4) (pow.f64 x 4)))))
(*.f64 (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 (pow.f64 x 4) 3))) (+.f64 1 (+.f64 (pow.f64 x 4) (pow.f64 x 8))))
(*.f64 (/.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))) (-.f64 1 (*.f64 (pow.f64 x 6) (pow.f64 x 6)))) (+.f64 1 (pow.f64 x 6)))
(*.f64 (/.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (-.f64 1 (pow.f64 x 12))) (+.f64 1 (pow.f64 x 6)))
(*.f64 (/.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))) (-.f64 1 (pow.f64 (pow.f64 x 6) 3))) (+.f64 1 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 6) (pow.f64 x 6)))))
(/.f64 (*.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (+.f64 1 (+.f64 (pow.f64 x 6) (pow.f64 x 12)))) (-.f64 1 (pow.f64 (pow.f64 x 6) 3)))
(*.f64 (/.f64 1 (neg.f64 (-.f64 1 (pow.f64 x 4)))) (neg.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 1 (+.f64 1 (*.f64 x x))) (-.f64 1 (pow.f64 x 4)))
(/.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 4)))
(*.f64 (/.f64 1 (neg.f64 (-.f64 1 (pow.f64 x 6)))) (neg.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(*.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (/.f64 1 (-.f64 1 (pow.f64 x 6))))
(/.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6)))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))))) (+.f64 1 (*.f64 x x)))
(/.f64 (*.f64 1 (+.f64 1 (*.f64 x x))) (-.f64 1 (pow.f64 x 4)))
(/.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 4)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (*.f64 x (neg.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 x (neg.f64 x)))))
(*.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (/.f64 1 (-.f64 1 (pow.f64 x 6))))
(/.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6)))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (hypot.f64 1 x))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 1 (pow.f64 x 4)))) (+.f64 1 (*.f64 x x)))
(/.f64 (*.f64 1 (+.f64 1 (*.f64 x x))) (-.f64 1 (pow.f64 x 4)))
(/.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 4)))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 1 (pow.f64 x 6)))) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))
(*.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (/.f64 1 (-.f64 1 (pow.f64 x 6))))
(/.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2)) (cbrt.f64 (-.f64 1 (pow.f64 x 4)))) (cbrt.f64 (+.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2)) (cbrt.f64 (-.f64 1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2)) (cbrt.f64 (-.f64 1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(pow.f64 (-.f64 1 (*.f64 x x)) -1)
(/.f64 1 (-.f64 1 (*.f64 x x)))
(pow.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 1)
(/.f64 1 (-.f64 1 (*.f64 x x)))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) 2)
(/.f64 1 (-.f64 1 (*.f64 x x)))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 3)
(/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3))
(pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3)))
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))))
(/.f64 1 (-.f64 1 (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))))
(/.f64 1 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))))
(/.f64 1 (-.f64 1 (*.f64 x x)))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 x (neg.f64 x)))))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 (*.f64 x x)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) -1))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 (*.f64 x x)))))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 x (neg.f64 x)))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 x (neg.f64 x)))) 1))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 (*.f64 x x)))))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 x (neg.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))))
(/.f64 1 (-.f64 1 (*.f64 x x)))

localize15.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 1 (*.f64 -2 x)))
Compiler

Compiled 35 to 29 computations (17.1% saved)

series1.0ms (0%)

Counts
1 → 4
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(sqrt.f64 (+.f64 1 (*.f64 -2 x)))
0.0ms
x
@-inf
(sqrt.f64 (+.f64 1 (*.f64 -2 x)))
0.0ms
x
@0
(sqrt.f64 (+.f64 1 (*.f64 -2 x)))

rewrite57.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1688×add-sqr-sqrt
1664×*-un-lft-identity
1556×add-cube-cbrt
1544×add-cbrt-cube
168×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0917
118013
2211613
Stop Event
node limit
Counts
1 → 26
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 1 (*.f64 -2 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 -2 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 -2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -2 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -2 x 1) 1/4) (pow.f64 (fma.f64 -2 x 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -2 x 1)) (cbrt.f64 (sqrt.f64 (fma.f64 -2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -2 x 1))) (cbrt.f64 (fma.f64 -2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 x 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 -2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 -2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 -2 x 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 (*.f64 -2 x) 3))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 -2 x) 2) (*.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 -2 x) 2))) (sqrt.f64 (+.f64 1 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -2 x 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -2 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -2 x 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -2 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -2 x 1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 -2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 -2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 -2 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -2 x 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 -2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (*.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 (*.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 -2 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 -2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 -2 x 1))))))))

simplify65.0ms (1.1%)

Algorithm
egg-herbie
Rules
1452×unswap-sqr
1114×associate-/r*
1082×fma-def
690×associate--r+
614×*-commutative
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
086640
1185604
2448584
31221534
42777530
55684530
Stop Event
node limit
Counts
30 → 59
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 -2 x 1)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 -2 x 1)))
(*.f64 (sqrt.f64 (fma.f64 -2 x 1)) 1)
(*.f64 (pow.f64 (fma.f64 -2 x 1) 1/4) (pow.f64 (fma.f64 -2 x 1) 1/4))
(*.f64 (cbrt.f64 (fma.f64 -2 x 1)) (cbrt.f64 (sqrt.f64 (fma.f64 -2 x 1))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -2 x 1))) (cbrt.f64 (fma.f64 -2 x 1)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 x 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 -2 x 1))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 -2 x 1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 -2 x 1)) 1/2))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (*.f64 -2 x) 3))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 -2 x) 2) (*.f64 2 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 -2 x) 2))) (sqrt.f64 (+.f64 1 (*.f64 2 x))))
(pow.f64 (fma.f64 -2 x 1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 -2 x 1)) 1)
(pow.f64 (pow.f64 (fma.f64 -2 x 1) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -2 x 1))) 3)
(pow.f64 (pow.f64 (fma.f64 -2 x 1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (fma.f64 -2 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 -2 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 -2 x 1)))))
(cbrt.f64 (pow.f64 (fma.f64 -2 x 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 -2 x 1))))
(hypot.f64 1 (sqrt.f64 (*.f64 -2 x)))
(exp.f64 (*.f64 1/2 (log1p.f64 (*.f64 -2 x))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 -2 x)) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 -2 x))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 -2 x 1))))
Outputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 (-.f64 1 x) (*.f64 x (*.f64 x -1/2)))
(-.f64 (fma.f64 x (*.f64 x -1/2) 1) x)
(fma.f64 x (fma.f64 x -1/2 -1) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))))
(+.f64 1 (-.f64 (*.f64 -1/2 (+.f64 (pow.f64 x 3) (*.f64 x x))) x))
(fma.f64 -1/2 (+.f64 (*.f64 x x) (pow.f64 x 3)) (-.f64 1 x))
(fma.f64 -1/2 (*.f64 x (fma.f64 x x x)) (-.f64 1 x))
(fma.f64 x (fma.f64 x (fma.f64 x -1/2 -1/2) -1) 1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 -2 x 1)))) 1)
(sqrt.f64 (fma.f64 -2 x 1))
(sqrt.f64 (fma.f64 x -2 1))
(*.f64 1 (sqrt.f64 (fma.f64 -2 x 1)))
(sqrt.f64 (fma.f64 -2 x 1))
(sqrt.f64 (fma.f64 x -2 1))
(*.f64 (sqrt.f64 (fma.f64 -2 x 1)) 1)
(sqrt.f64 (fma.f64 -2 x 1))
(sqrt.f64 (fma.f64 x -2 1))
(*.f64 (pow.f64 (fma.f64 -2 x 1) 1/4) (pow.f64 (fma.f64 -2 x 1) 1/4))
(sqrt.f64 (fma.f64 -2 x 1))
(sqrt.f64 (fma.f64 x -2 1))
(*.f64 (cbrt.f64 (fma.f64 -2 x 1)) (cbrt.f64 (sqrt.f64 (fma.f64 -2 x 1))))
(*.f64 (cbrt.f64 (fma.f64 x -2 1)) (cbrt.f64 (sqrt.f64 (fma.f64 x -2 1))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -2 x 1))) (cbrt.f64 (fma.f64 -2 x 1)))
(*.f64 (cbrt.f64 (fma.f64 -2 x 1)) (cbrt.f64 (sqrt.f64 (fma.f64 -2 x 1))))
(*.f64 (cbrt.f64 (fma.f64 x -2 1)) (cbrt.f64 (sqrt.f64 (fma.f64 x -2 1))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 x 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 -2 x 1))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x -2 1))) (sqrt.f64 (cbrt.f64 (fma.f64 x -2 1))))
(*.f64 (cbrt.f64 (fma.f64 x -2 1)) (sqrt.f64 (cbrt.f64 (fma.f64 x -2 1))))
(pow.f64 (cbrt.f64 (fma.f64 x -2 1)) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 -2 x 1)))
(sqrt.f64 (fma.f64 -2 x 1))
(sqrt.f64 (fma.f64 x -2 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 -2 x 1)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -2 x 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 -2 x 1))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x -2 1))) (sqrt.f64 (cbrt.f64 (fma.f64 x -2 1))))
(*.f64 (cbrt.f64 (fma.f64 x -2 1)) (sqrt.f64 (cbrt.f64 (fma.f64 x -2 1))))
(pow.f64 (cbrt.f64 (fma.f64 x -2 1)) 3/2)
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (*.f64 -2 x) 3))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 -2 x) 2) (*.f64 2 x)))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (*.f64 x -2) 3))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 x -2) 2) (*.f64 x 2)))))
(/.f64 (hypot.f64 1 (pow.f64 (*.f64 x -2) 3/2)) (sqrt.f64 (+.f64 1 (fma.f64 x 2 (*.f64 (*.f64 x x) 4)))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 1)) (sqrt.f64 (fma.f64 x (*.f64 x 4) (fma.f64 x 2 1))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 1)) (sqrt.f64 (fma.f64 x (fma.f64 x 4 2) 1)))
(/.f64 (hypot.f64 1 (pow.f64 (*.f64 x -2) 3/2)) (sqrt.f64 (fma.f64 x (fma.f64 x 4 2) 1)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 -2 x) 2))) (sqrt.f64 (+.f64 1 (*.f64 2 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 x -2) 2))) (sqrt.f64 (+.f64 1 (*.f64 x 2))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 (*.f64 x x) 4))) (sqrt.f64 (fma.f64 x 2 1)))
(/.f64 (sqrt.f64 (+.f64 1 (*.f64 (*.f64 x x) -4))) (sqrt.f64 (fma.f64 x 2 1)))
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x -4) 1)) (sqrt.f64 (fma.f64 x 2 1)))
(pow.f64 (fma.f64 -2 x 1) 1/2)
(sqrt.f64 (fma.f64 -2 x 1))
(sqrt.f64 (fma.f64 x -2 1))
(pow.f64 (sqrt.f64 (fma.f64 -2 x 1)) 1)
(sqrt.f64 (fma.f64 -2 x 1))
(sqrt.f64 (fma.f64 x -2 1))
(pow.f64 (pow.f64 (fma.f64 -2 x 1) 1/4) 2)
(sqrt.f64 (fma.f64 -2 x 1))
(sqrt.f64 (fma.f64 x -2 1))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -2 x 1))) 3)
(sqrt.f64 (fma.f64 -2 x 1))
(sqrt.f64 (fma.f64 x -2 1))
(pow.f64 (pow.f64 (fma.f64 -2 x 1) 3/2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 -2 x 1) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 x -2 1) 3/2))
(fabs.f64 (sqrt.f64 (fma.f64 -2 x 1)))
(sqrt.f64 (fma.f64 -2 x 1))
(sqrt.f64 (fma.f64 x -2 1))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 -2 x 1))))
(sqrt.f64 (fma.f64 -2 x 1))
(sqrt.f64 (fma.f64 x -2 1))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 -2 x 1)))))
(sqrt.f64 (fma.f64 -2 x 1))
(sqrt.f64 (fma.f64 x -2 1))
(cbrt.f64 (pow.f64 (fma.f64 -2 x 1) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 x -2 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 -2 x 1))))
(sqrt.f64 (fma.f64 -2 x 1))
(sqrt.f64 (fma.f64 x -2 1))
(hypot.f64 1 (sqrt.f64 (*.f64 -2 x)))
(sqrt.f64 (fma.f64 -2 x 1))
(sqrt.f64 (fma.f64 x -2 1))
(exp.f64 (*.f64 1/2 (log1p.f64 (*.f64 -2 x))))
(pow.f64 (exp.f64 1/2) (log1p.f64 (*.f64 x -2)))
(sqrt.f64 (exp.f64 (log1p.f64 (*.f64 x -2))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 -2 x)) 1/2))
(pow.f64 (exp.f64 1/2) (log1p.f64 (*.f64 x -2)))
(sqrt.f64 (exp.f64 (log1p.f64 (*.f64 x -2))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 -2 x))) 1))
(pow.f64 (exp.f64 1/2) (log1p.f64 (*.f64 x -2)))
(sqrt.f64 (exp.f64 (log1p.f64 (*.f64 x -2))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 -2 x 1))))
(sqrt.f64 (fma.f64 -2 x 1))
(sqrt.f64 (fma.f64 x -2 1))

localize33.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.0b
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
0.0b
(/.f64 (-.f64 1 x) (+.f64 1 x))
1.0b
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
Compiler

Compiled 68 to 53 computations (22.1% saved)

series1.0ms (0%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.0ms
x
@-inf
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.0ms
x
@inf
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.0ms
x
@0
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
0.0ms
x
@-inf
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))

rewrite66.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1640×associate-/r*
1142×associate-/l*
1042×*-commutative
978×associate-/r/
538×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01258
124258
2304358
Stop Event
node limit
Counts
2 → 46
Calls
Call 1
Inputs
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 2))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))) (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) (cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 2)) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 2) (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 2))) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))))))

simplify70.0ms (1.1%)

Algorithm
egg-herbie
Rules
1028×*-commutative
954×distribute-lft-in
884×fma-def
776×distribute-rgt-in
656×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01051782
12011766
28001766
328111766
475951766
Stop Event
node limit
Counts
62 → 55
Calls
Call 1
Inputs
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))))
(+.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 0)
(+.f64 0 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 2)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 2))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))) (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) 1)
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1)
(*.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))
(*.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) (cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 2)) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1)
(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 2)
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 3)
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 2))
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 3))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) 1)
(*.f64 1 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))
(*.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 1)
(*.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))
(*.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 2) (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))
(pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 3)
(pow.f64 (pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 3) 1/3)
(pow.f64 (E.f64) (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 2))) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))
(sqrt.f64 (pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 2))
(log.f64 (exp.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))
(cbrt.f64 (pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))
(log1p.f64 (expm1.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))
Outputs
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))
(+.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 0)
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(+.f64 0 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 2)))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 2))) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))) (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 1)
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) 1)
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1)
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(*.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(*.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) (cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 2)))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 2)) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1)
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 2)
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 3)
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 3) 1/3)
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 2))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 3))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) 1)
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))
(*.f64 1 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))
(*.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 1)
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))
(*.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))
(*.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 2))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 2) (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))
(pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 1)
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))
(pow.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 2)
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))
(pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 3)
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))
(pow.f64 (pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 3) 1/3)
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))
(pow.f64 (E.f64) (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 2))) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))
(sqrt.f64 (pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 2))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))
(log.f64 (exp.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))
(cbrt.f64 (pow.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 3))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))
(expm1.f64 (log1p.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))
(log1p.f64 (expm1.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))
(exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))

eval447.0ms (7.2%)

Compiler

Compiled 20269 to 15111 computations (25.4% saved)

prune212.0ms (3.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New8264830
Fresh000
Picked101
Done314
Total8305835
Error
0b
Counts
835 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(*.f64 2 (atan.f64 (-.f64 1 x)))
0.0b
(*.f64 2 (atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))))
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 1 (*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x)))))))
0.9b
(*.f64 2 (atan.f64 1))
Compiler

Compiled 56 to 48 computations (14.3% saved)

localize4.0ms (0.1%)

Compiler

Compiled 9 to 9 computations (0% saved)

localize30.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(atan.f64 (sqrt.f64 (/.f64 1 (*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x))))))
0.0b
(/.f64 1 (-.f64 1 x))
0.0b
(*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x)))
0.0b
(/.f64 1 (*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x))))
Compiler

Compiled 75 to 61 computations (18.7% saved)

series2.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite132.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
1418×associate-/r/
952×associate-/l*
754×distribute-rgt-in
696×distribute-lft-in
524×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01290
125978
2340278
Stop Event
node limit
Counts
4 → 299
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x))))
(*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x)))
(/.f64 1 (-.f64 1 x))
(atan.f64 (sqrt.f64 (/.f64 1 (*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x))))))
Outputs
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simplify106.0ms (1.7%)

Algorithm
egg-herbie
Rules
900×associate-*r*
828×associate-/r*
822×associate-/l*
764×*-commutative
744×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
074013119
1218111883
Stop Event
node limit
Counts
347 → 477
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
-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 (*.f64 2 x) 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
-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)))))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (pow.f64 x 2) x))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
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(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (/.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 (+.f64 1 x)) (-.f64 1 x))) (cbrt.f64 (/.f64 (neg.f64 (+.f64 1 x)) (-.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2))) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (/.f64 (*.f64 (-.f64 1 x) (+.f64 1 (-.f64 (*.f64 x x) x))) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))))
(/.f64 (*.f64 (+.f64 1 x) (pow.f64 (-.f64 1 x) -1/2)) (/.f64 1 (pow.f64 (-.f64 1 x) -1/2)))
(/.f64 (*.f64 (+.f64 1 x) (cbrt.f64 (pow.f64 (-.f64 1 x) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 (+.f64 1 x) -1) (+.f64 -1 x))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 1 x))) (+.f64 1 (-.f64 (*.f64 x x) x)))
(/.f64 (+.f64 (neg.f64 x) -1) (+.f64 -1 x))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) 1) (pow.f64 (-.f64 1 x) 2))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (*.f64 (-.f64 1 x) (+.f64 1 (-.f64 (*.f64 x x) x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (*.f64 (+.f64 1 (-.f64 (*.f64 x x) x)) (-.f64 1 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1) (*.f64 1 (*.f64 (+.f64 1 (-.f64 (*.f64 x x) x)) (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) (/.f64 1 (pow.f64 (-.f64 1 x) -1/2)))
(/.f64 (/.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 x)))
(/.f64 (/.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 1 (/.f64 1 (cbrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (-.f64 1 (*.f64 x x)) 1) (pow.f64 (-.f64 1 x) 2))
(/.f64 (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 x))) (*.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (*.f64 (-.f64 1 x) (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 1 (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (*.f64 (/.f64 1 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))) (/.f64 1 (+.f64 1 (fma.f64 x x x))))
(/.f64 (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 x x))) (/.f64 (-.f64 1 x) (+.f64 1 x)))
(/.f64 (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 3))) (/.f64 (-.f64 1 x) (+.f64 1 (fma.f64 x x x))))
(/.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (/.f64 (/.f64 1 (+.f64 1 x)) (+.f64 1 x)))
(/.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (/.f64 (/.f64 1 (+.f64 1 x)) (+.f64 1 (fma.f64 x x x))))
(/.f64 (neg.f64 (+.f64 1 x)) (+.f64 -1 x))
(/.f64 (neg.f64 (+.f64 1 x)) (/.f64 -1 (/.f64 1 (-.f64 1 x))))
(/.f64 (neg.f64 (/.f64 1 (-.f64 1 x))) (/.f64 -1 (+.f64 1 x)))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (/.f64 -1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)) (/.f64 -1 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 1 (*.f64 x x))) (*.f64 (-.f64 1 x) (+.f64 -1 x)))
(/.f64 (-.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (*.f64 (-.f64 1 x) (+.f64 1 (-.f64 (*.f64 x x) x))) (-.f64 1 (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 x x) 1) (*.f64 (-.f64 1 x) (-.f64 x 1)))
(/.f64 (-.f64 1 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 1 (*.f64 x x))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 x 3) 3)) (*.f64 (*.f64 (-.f64 1 x) (+.f64 1 (-.f64 (*.f64 x x) x))) (+.f64 1 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (pow.f64 x 3)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 x x) 3)) (*.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 1 (+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 1 (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.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 (-.f64 1 (*.f64 x x)) -1) (*.f64 (-.f64 1 x) (+.f64 -1 x)))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) -1) (*.f64 1 (*.f64 (-.f64 1 x) (+.f64 -1 x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) -1) (*.f64 (+.f64 1 (-.f64 (*.f64 x x) x)) (+.f64 -1 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) -1) (*.f64 1 (*.f64 (+.f64 1 (-.f64 (*.f64 x x) x)) (+.f64 -1 x))))
(/.f64 (*.f64 -1 (-.f64 1 (*.f64 x x))) (*.f64 (+.f64 -1 x) (-.f64 1 x)))
(/.f64 (*.f64 -1 (-.f64 1 (*.f64 x x))) (*.f64 1 (*.f64 (+.f64 -1 x) (-.f64 1 x))))
(/.f64 (+.f64 -1 (*.f64 -1 (pow.f64 x 3))) (*.f64 (+.f64 -1 x) (+.f64 1 (-.f64 (*.f64 x x) x))))
(/.f64 (+.f64 -1 (*.f64 -1 (pow.f64 x 3))) (*.f64 1 (*.f64 (+.f64 -1 x) (+.f64 1 (-.f64 (*.f64 x x) x)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 x 3))) (*.f64 (-.f64 1 x) (neg.f64 (+.f64 1 (-.f64 (*.f64 x x) x)))))
(/.f64 (pow.f64 (sqrt.f64 (-.f64 1 x)) -1) (/.f64 (/.f64 1 (+.f64 1 x)) (pow.f64 (sqrt.f64 (-.f64 1 x)) -1)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) -1) (/.f64 (/.f64 1 (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.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)) 3) 1/3)
(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) (/.f64 1 (pow.f64 (-.f64 1 x) 3))))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 3)) (pow.f64 (+.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))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 1) (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) x))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) x) (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) 1) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (fma.f64 x x x)))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (fma.f64 x x x)) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) 1))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (*.f64 x x))) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) x))
(+.f64 (*.f64 1 (/.f64 1 (-.f64 1 (*.f64 x x)))) (*.f64 x (/.f64 1 (-.f64 1 (*.f64 x x)))))
(+.f64 (*.f64 x (/.f64 1 (-.f64 1 (*.f64 x x)))) (*.f64 1 (/.f64 1 (-.f64 1 (*.f64 x x)))))
(+.f64 (*.f64 1 (/.f64 1 (-.f64 1 (pow.f64 x 3)))) (*.f64 (fma.f64 x x x) (/.f64 1 (-.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 (fma.f64 x x x) (/.f64 1 (-.f64 1 (pow.f64 x 3)))) (*.f64 1 (/.f64 1 (-.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 (+.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (pow.f64 x 3)))) (*.f64 x (/.f64 1 (-.f64 1 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 x)))) 1)
(*.f64 1 (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 1 x)) 1)
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (pow.f64 (-.f64 1 x) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 1 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 x))))
(*.f64 -1 (/.f64 1 (+.f64 -1 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 1 (+.f64 -1 x)) -1)
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 x)) -1) (pow.f64 (sqrt.f64 (-.f64 1 x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 1 x)) -1))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) 1)) (+.f64 1 x))
(*.f64 (/.f64 1 (neg.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (+.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 x 3)))) (+.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 1 (pow.f64 (pow.f64 x 3) 3))) (+.f64 1 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 x 3) (pow.f64 x 3)))))
(*.f64 (/.f64 1 (neg.f64 (-.f64 1 (pow.f64 x 3)))) (neg.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 (*.f64 x x) 3))) (+.f64 1 (+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (+.f64 1 x))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (neg.f64 x) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 x) -1/2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (-.f64 1 x) -1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 1 (*.f64 x x)))) (+.f64 1 x))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 1 (pow.f64 x 3)))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(pow.f64 (-.f64 1 x) -1)
(pow.f64 (/.f64 1 (-.f64 1 x)) 1)
(pow.f64 (pow.f64 (-.f64 1 x) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) 3)
(pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 3)) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 x) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 x)))))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 x))))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(*.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(*.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
Outputs
1
(+.f64 1 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 -2 (+.f64 x (pow.f64 x 3)))))
-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 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(-.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 (*.f64 x x)))))
-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 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(-.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 (*.f64 x x)))))
1
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 1))
(+.f64 1 (*.f64 2 (fma.f64 x x x)))
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(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 x))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (cbrt.f64 (-.f64 1 x)))
(*.f64 -1 (/.f64 1 (+.f64 -1 x)))
(/.f64 1 (-.f64 1 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 x))))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) 3)
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 (*.f64 x x))))
(/.f64 (-.f64 -1 x) (fma.f64 x x -1))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 1 (-.f64 1 (pow.f64 x 3))))
(/.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 1 (+.f64 -1 x)) -1)
(/.f64 1 (-.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 x)) -1) (pow.f64 (sqrt.f64 (-.f64 1 x)) -1))
(pow.f64 (sqrt.f64 (-.f64 1 x)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 1 x)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 x))))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) 3)
(*.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) 1)) (+.f64 1 x))
(*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 (*.f64 x x))))
(/.f64 (-.f64 -1 x) (fma.f64 x x -1))
(*.f64 (/.f64 1 (neg.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (+.f64 1 x)))
(*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 (*.f64 x x))))
(/.f64 (-.f64 -1 x) (fma.f64 x x -1))
(*.f64 (/.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 x 3)))) (+.f64 1 (pow.f64 x 3)))
(*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 1 (pow.f64 x 6))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 6)))
(*.f64 (/.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 1 (pow.f64 (pow.f64 x 3) 3))) (+.f64 1 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 x 3) (pow.f64 x 3)))))
(*.f64 (/.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 1 (pow.f64 (pow.f64 x 3) 3))) (+.f64 (+.f64 1 (pow.f64 x 3)) (pow.f64 x 6)))
(/.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 (-.f64 1 (pow.f64 (pow.f64 x 3) 3)) (+.f64 (pow.f64 x 3) (+.f64 1 (pow.f64 x 6)))))
(*.f64 (/.f64 1 (neg.f64 (-.f64 1 (pow.f64 x 3)))) (neg.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 1 (-.f64 1 (pow.f64 x 3))))
(/.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 1 (*.f64 x x)))
(*.f64 (+.f64 1 (*.f64 x x)) (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 4))))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 (*.f64 x x) 3))) (+.f64 1 (+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))
(*.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 6))))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (+.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (+.f64 1 x))
(*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 (*.f64 x x))))
(/.f64 (-.f64 -1 x) (fma.f64 x x -1))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (neg.f64 x) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))))
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 1 (-.f64 1 (pow.f64 x 3))))
(/.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 (pow.f64 (-.f64 1 x) -1/2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (*.f64 (pow.f64 (-.f64 1 x) -1/2) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (-.f64 1 x) -1/2)) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 x) -1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 1 (*.f64 x x)))) (+.f64 1 x))
(*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 (*.f64 x x))))
(/.f64 (-.f64 -1 x) (fma.f64 x x -1))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 1 (pow.f64 x 3)))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 1 (-.f64 1 (pow.f64 x 3))))
(/.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) -2)) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (cbrt.f64 (-.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(pow.f64 (-.f64 1 x) -1)
(/.f64 1 (-.f64 1 x))
(pow.f64 (/.f64 1 (-.f64 1 x)) 1)
(/.f64 1 (-.f64 1 x))
(pow.f64 (pow.f64 (-.f64 1 x) -1/2) 2)
(/.f64 1 (-.f64 1 x))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) 3)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 x))))
(pow.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 3)))
(sqrt.f64 (pow.f64 (-.f64 1 x) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 x))))
(/.f64 1 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 x)))))
(/.f64 1 (-.f64 1 x))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 x))))
(/.f64 1 (-.f64 1 x))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) -1))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 x))))
(/.f64 1 (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))

localize35.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (-.f64 1 (*.f64 x x)))
0.0b
(sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))
0.0b
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
0.0b
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))
Compiler

Compiled 70 to 45 computations (35.7% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite121.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
1584×associate-*r/
1090×*-commutative
1082×associate-*l/
508×distribute-lft-in
432×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01297
125681
2331481
Stop Event
node limit
Counts
3 → 169
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (*.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))) (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)) (-.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)))))) (#(struct:change #<rule 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(pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))))))

simplify145.0ms (2.3%)

Algorithm
egg-herbie
Rules
708×+-commutative
698×associate-+l+
668×associate-/l*
660×associate-*r*
650×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04829661
113239025
262559009
Stop Event
node limit
Counts
205 → 316
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (/.f64 (sqrt.f64 -1) x) (*.f64 -1 (sqrt.f64 -1)))
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 -1))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 -1)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 3/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 3/8 (pow.f64 x 4)) (*.f64 5/16 (pow.f64 x 6)))))
(/.f64 (sqrt.f64 -1) x)
(-.f64 (/.f64 (sqrt.f64 -1) x) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1) x) (*.f64 -1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 5))))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 5)))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2))) 1) (*.f64 (sqrt.f64 -1) (pow.f64 x 7)))))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))
(*.f64 -1 (/.f64 (sqrt.f64 -1) x))
(+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2))) 1) (*.f64 (sqrt.f64 -1) (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))))
(+.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(+.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (*.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))) (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 1 (/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)) (-.f64 1 (*.f64 x x))))
(/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)))
(/.f64 1 (/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3))))
(/.f64 1 (*.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)) (/.f64 1 (-.f64 1 (*.f64 x x)))))
(/.f64 1 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)) 1))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 (+.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (+.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))
(/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)) 1))
(/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (/.f64 1 (-.f64 1 x)))
(/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (-.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(/.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))
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(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(/.f64 (*.f64 (sqrt.f64 -1) 1) (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(/.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))) (cbrt.f64 (+.f64 -1 (*.f64 x x))))
(/.f64 (/.f64 1 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(pow.f64 (-.f64 1 (*.f64 x x)) -1/2)
(pow.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) 1)
(pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) 2)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) -1)
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) 3)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 3/2) 1/3)
(fabs.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(log.f64 (exp.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 3/2))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))
(exp.f64 (log.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))
Outputs
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 3) (*.f64 (*.f64 1/2 x) x)) (-.f64 1 x))
(+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(+.f64 (/.f64 (sqrt.f64 -1) x) (*.f64 -1 (sqrt.f64 -1)))
(+.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 (sqrt.f64 -1) x))
(-.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1))
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 -1))))
(+.f64 (+.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))) (neg.f64 (sqrt.f64 -1)))
(+.f64 (-.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 -1)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))
(-.f64 (+.f64 (+.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))) (neg.f64 (sqrt.f64 -1))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))
(+.f64 (+.f64 (-.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))) (/.f64 -1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))
(+.f64 (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (-.f64 (-.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (neg.f64 (/.f64 (sqrt.f64 -1) x)))
(-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x))
(-.f64 (+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 -1) (neg.f64 (/.f64 (sqrt.f64 -1) x))) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))))
(+.f64 (-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (sqrt.f64 -1) (-.f64 (fma.f64 -1 (/.f64 (sqrt.f64 -1) x) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))))
(+.f64 (sqrt.f64 -1) (+.f64 (-.f64 (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) x)) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))))
(-.f64 (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (+.f64 (-.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 3/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (*.f64 3/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 3/8 (pow.f64 x 4) (*.f64 (*.f64 1/2 x) x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 3/8 (pow.f64 x 4)) (*.f64 5/16 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 3/8 (pow.f64 x 4) (*.f64 5/16 (pow.f64 x 6)))))
(+.f64 (fma.f64 1/2 (*.f64 x x) 1) (fma.f64 3/8 (pow.f64 x 4) (*.f64 5/16 (pow.f64 x 6))))
(/.f64 (sqrt.f64 -1) x)
(-.f64 (/.f64 (sqrt.f64 -1) x) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))
(-.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))
(+.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 -1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1) x) (*.f64 -1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 5))))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))
(+.f64 (/.f64 (sqrt.f64 -1) x) (-.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 5)))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (/.f64 (sqrt.f64 -1) x) (fma.f64 -1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 5))) (/.f64 -1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 5)))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2))) 1) (*.f64 (sqrt.f64 -1) (pow.f64 x 7)))))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))
(+.f64 (/.f64 (sqrt.f64 -1) x) (-.f64 (*.f64 -1/2 (+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 5))) (/.f64 (fma.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)) 1) (*.f64 (sqrt.f64 -1) (pow.f64 x 7))))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (/.f64 (sqrt.f64 -1) x) (fma.f64 -1/2 (+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 5))) (/.f64 (fma.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) -1) 1) (*.f64 (sqrt.f64 -1) (pow.f64 x 7)))) (/.f64 -1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (+.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 -1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (*.f64 (/.f64 -1/2 (sqrt.f64 -1)) (+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 x 5)) (/.f64 (fma.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) -1) 1) (pow.f64 x 7)))))
(*.f64 -1 (/.f64 (sqrt.f64 -1) x))
(neg.f64 (/.f64 (sqrt.f64 -1) x))
(+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))
(fma.f64 -1 (/.f64 (sqrt.f64 -1) x) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))
(-.f64 (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) x))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))
(fma.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 5))) (fma.f64 -1 (/.f64 (sqrt.f64 -1) x) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(-.f64 (fma.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 5))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (/.f64 (sqrt.f64 -1) x))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2))) 1) (*.f64 (sqrt.f64 -1) (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))))
(fma.f64 1/2 (/.f64 (fma.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)) 1) (*.f64 (sqrt.f64 -1) (pow.f64 x 7))) (fma.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 5))) (fma.f64 -1 (/.f64 (sqrt.f64 -1) x) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))))
(fma.f64 1/2 (/.f64 (fma.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) -1) 1) (*.f64 (sqrt.f64 -1) (pow.f64 x 7))) (-.f64 (fma.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 5))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (/.f64 (sqrt.f64 -1) x)))
(+.f64 (-.f64 (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) x)) (*.f64 (/.f64 1/2 (sqrt.f64 -1)) (+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) (pow.f64 x 5)) (/.f64 (fma.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (/.f64 -1/2 (sqrt.f64 -1)) 2)) -1) 1) (pow.f64 x 7)))))
(+.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(+.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (*.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(+.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1)
(/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))) (-.f64 1 (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 1 (/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)) (-.f64 1 (*.f64 x x))))
(/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))))
(/.f64 (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 1 x))
(/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)))
(/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 1 (/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3))))
(/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x)))))
(/.f64 (-.f64 1 (pow.f64 x 3)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 (fma.f64 x x x))))
(/.f64 1 (*.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)) (/.f64 1 (-.f64 1 (*.f64 x x)))))
(/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))))
(/.f64 (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 1 x))
(/.f64 1 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 1 x))))
(/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)))
(/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))))
(/.f64 (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 1 x))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)) 1))
(/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))))
(/.f64 (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 1 x))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 (+.f64 1 x))))
(/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x))))
(/.f64 (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 1 x))
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(atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 1 (atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2))
(atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2) (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2)
(atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 3)
(atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(pow.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3) 1/3)
(atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(fabs.f64 (atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(log.f64 (exp.f64 (atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))
(atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (log.f64 (atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))) 1)
(pow.f64 (-.f64 1 (*.f64 x x)) -1/2)
(*.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(pow.f64 (-.f64 1 (*.f64 x x)) -1/2)
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) 1)
(pow.f64 (-.f64 1 (*.f64 x x)) -1/2)
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (pow.f64 1 1/2))
(pow.f64 (-.f64 1 (*.f64 x x)) -1/2)
(*.f64 (sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))
(pow.f64 (-.f64 1 (*.f64 x x)) -1/2)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))))
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))))
(*.f64 (pow.f64 1 1/2) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(pow.f64 (-.f64 1 (*.f64 x x)) -1/2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2)) 1/2) (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) (sqrt.f64 (-.f64 1 (pow.f64 x 6))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (hypot.f64 1 x))
(/.f64 (hypot.f64 1 x) (sqrt.f64 (-.f64 1 (pow.f64 x 4))))
(/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (sqrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (cbrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (fma.f64 x x -1)))
(/.f64 (*.f64 1 (sqrt.f64 -1)) (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (fma.f64 x x -1)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) -1) (cbrt.f64 (+.f64 -1 (*.f64 x x))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))) (cbrt.f64 (+.f64 -1 (*.f64 x x))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))) (cbrt.f64 (fma.f64 x x -1)))
(/.f64 (*.f64 (pow.f64 1 1/2) 1) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (pow.f64 1 1/2) 1) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (pow.f64 1 1/2) -1) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (fma.f64 x x -1)))
(/.f64 (*.f64 (sqrt.f64 -1) 1) (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (fma.f64 x x -1)))
(/.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))) (cbrt.f64 (+.f64 -1 (*.f64 x x))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))) (cbrt.f64 (+.f64 -1 (*.f64 x x))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))) (cbrt.f64 (fma.f64 x x -1)))
(/.f64 (/.f64 1 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 1 (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2)))))
(/.f64 (/.f64 1 (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2))))
(pow.f64 (-.f64 1 (*.f64 x x)) -1/2)
(pow.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 1/2)
(sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) 1)
(pow.f64 (-.f64 1 (*.f64 x x)) -1/2)
(pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) 2)
(pow.f64 (-.f64 1 (*.f64 x x)) -1/2)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) -1)
(/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) 3)
(pow.f64 (-.f64 1 (*.f64 x x)) -1/2)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 3/2) 1/3)
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 3/2))
(fabs.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(pow.f64 (-.f64 1 (*.f64 x x)) -1/2)
(log.f64 (exp.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))
(pow.f64 (-.f64 1 (*.f64 x x)) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))))
(pow.f64 (-.f64 1 (*.f64 x x)) -1/2)
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 3/2))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))
(pow.f64 (-.f64 1 (*.f64 x x)) -1/2)
(exp.f64 (log.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))
(pow.f64 (-.f64 1 (*.f64 x x)) -1/2)
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))
(pow.f64 (-.f64 1 (*.f64 x x)) -1/2)

localize45.0ms (0.7%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(atan.f64 (-.f64 1 x))
Compiler

Compiled 17 to 13 computations (23.5% saved)

series0.0ms (0%)

Counts
1 → 4
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(atan.f64 (-.f64 1 x))
0.0ms
x
@inf
(atan.f64 (-.f64 1 x))
0.0ms
x
@-inf
(atan.f64 (-.f64 1 x))

rewrite62.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1384×add-sqr-sqrt
1368×*-un-lft-identity
1270×add-cube-cbrt
1258×add-cbrt-cube
1248×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114011
2167411
Stop Event
node limit
Counts
1 → 16
Calls
Call 1
Inputs
(atan.f64 (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))))))

simplify60.0ms (1%)

Algorithm
egg-herbie
Rules
1136×associate-/r*
924×*-commutative
688×associate-*r/
634×associate-*r*
496×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040220
177220
2372220
31698220
43972220
55891220
Stop Event
node limit
Counts
20 → 18
Calls
Call 1
Inputs
(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)))
(-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
(*.f64 1 (atan.f64 (-.f64 1 x)))
(*.f64 (atan.f64 (-.f64 1 x)) 1)
(*.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))
(pow.f64 (atan.f64 (-.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (atan.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))
Outputs
(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))
(-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
(atan.f64 (-.f64 1 x))
(*.f64 1 (atan.f64 (-.f64 1 x)))
(atan.f64 (-.f64 1 x))
(*.f64 (atan.f64 (-.f64 1 x)) 1)
(atan.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))
(atan.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(pow.f64 (atan.f64 (-.f64 1 x)) 1)
(atan.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2)
(atan.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 3)
(atan.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3)
(atan.f64 (-.f64 1 x))
(sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2))
(atan.f64 (-.f64 1 x))
(log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))
(atan.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(exp.f64 (log.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))

eval529.0ms (8.5%)

Compiler

Compiled 19935 to 15480 computations (22.3% saved)

prune282.0ms (4.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New8823885
Fresh000
Picked011
Done134
Total8837890
Error
0b
Counts
890 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
0.3b
(*.f64 2 (atan.f64 (-.f64 1 x)))
0.1b
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))))))
0.1b
(*.f64 2 (atan.f64 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (-.f64 1 x))))
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 1 (*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x)))))))
0.9b
(*.f64 2 (atan.f64 1))
Compiler

Compiled 83 to 70 computations (15.7% saved)

localize22.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 1/2 (*.f64 x x))
0.0b
(atan.f64 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (-.f64 1 x)))
0.0b
(*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (-.f64 1 x))
Compiler

Compiled 60 to 38 computations (36.7% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 1/2 (*.f64 x x))
0.0ms
x
@inf
(*.f64 1/2 (*.f64 x x))
0.0ms
x
@inf
(*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (-.f64 1 x))
0.0ms
x
@0
(*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (-.f64 1 x))
0.0ms
x
@-inf
(*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (-.f64 1 x))

rewrite92.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1438×associate-*r/
1220×associate-*l/
962×distribute-rgt-in
916×distribute-lft-in
306×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01279
125171
2323071
Stop Event
node limit
Counts
3 → 200
Calls
Call 1
Inputs
(*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (-.f64 1 x))
(atan.f64 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (-.f64 1 x)))
(*.f64 1/2 (*.f64 x x))
Outputs
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simplify119.0ms (1.9%)

Algorithm
egg-herbie
Rules
1274×associate-+r+
1230×associate-+l+
1110×associate-/l*
580×+-commutative
520×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050711154
1136910442
2573510442
Stop Event
node limit
Counts
236 → 282
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(*.f64 -1/2 (pow.f64 x 3))
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(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))))
(atan.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 x)))
(atan.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 x)))
(atan.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 x)))
(atan.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 x)))
(atan.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 x)))
(atan.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 x)))
(atan.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 x)))
(atan.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 x)))
(atan.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 1 (*.f64 -1 x))))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x)))) 1)
(-.f64 (exp.f64 (log.f64 (-.f64 2 x))) (-.f64 1 (*.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x))))
(-.f64 (/.f64 1 (+.f64 1 x)) (-.f64 (/.f64 (*.f64 x x) (+.f64 1 x)) (*.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x))))
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(-.f64 (/.f64 1 (+.f64 1 (*.f64 -1/2 (*.f64 x x)))) (-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (+.f64 1 (*.f64 -1/2 (*.f64 x x)))) (*.f64 (neg.f64 x) (fma.f64 1/2 (*.f64 x x) 1))))
(-.f64 (+.f64 (*.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x)) 1) x)
(-.f64 (+.f64 (*.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x)) (exp.f64 (log.f64 (-.f64 2 x)))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x)) (/.f64 1 (+.f64 1 x))) (/.f64 (*.f64 x x) (+.f64 1 x)))
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(/.f64 (fma.f64 1/2 (*.f64 x x) 1) (/.f64 1 (-.f64 1 x)))
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(/.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/4)) (/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3))))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (+.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1)))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (*.f64 (+.f64 1 x) (+.f64 1 (*.f64 -1/2 (*.f64 x x)))) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4))))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (*.f64 (+.f64 1 x) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 -1/2 (*.f64 x x))))) (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8))))
(/.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8)) (/.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 -1/2 (*.f64 x x)))) (-.f64 1 x)))
(/.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8)) (/.f64 (*.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 -1/2 (*.f64 x x)))) (+.f64 1 x)) (-.f64 1 (*.f64 x x))))
(/.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8)) (/.f64 (*.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 -1/2 (*.f64 x x)))) (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3))))
(/.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 (+.f64 1 (fma.f64 x x x)) (fma.f64 1/2 (*.f64 x x) 1)))
(/.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 (*.f64 -1/2 (*.f64 x x)))) (-.f64 1 (*.f64 (pow.f64 x 4) 1/4))))
(/.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 -1/2 (*.f64 x x))))) (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8))))
(/.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 (*.f64 x x))) (+.f64 1 x))
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(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (fma.f64 1/2 (*.f64 x x) 1)) (sqrt.f64 (+.f64 1 (fma.f64 x x x)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (fma.f64 1/2 (*.f64 x x) 1)) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 x x x))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(pow.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 1/2 (*.f64 x x) 1)) (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3) (pow.f64 (-.f64 1 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x))))
(exp.f64 (log.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x))))) 1)
(*.f64 1 (atan.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x))))
(*.f64 (atan.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x))) 1)
(*.f64 (sqrt.f64 (atan.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x)))) (sqrt.f64 (atan.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x)))))
(*.f64 (cbrt.f64 (atan.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x)))))
(pow.f64 (atan.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (atan.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (atan.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (atan.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x))) 2))
(log.f64 (exp.f64 (atan.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (atan.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x)))))
(exp.f64 (log.f64 (atan.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (atan.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (-.f64 1 x)))))
(+.f64 1 (-.f64 (*.f64 1/2 (*.f64 x x)) 1))
(+.f64 (*.f64 1/2 (*.f64 x x)) 0)
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 x x) 1))) 2)
(-.f64 (/.f64 1 (+.f64 1 (*.f64 -1/2 (*.f64 x x)))) (+.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (+.f64 1 (*.f64 -1/2 (*.f64 x x)))) 1))
(pow.f64 (*.f64 1/2 (*.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (*.f64 x x)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8))
(expm1.f64 (log1p.f64 (*.f64 1/2 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 1/2 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (*.f64 x x))))
Outputs
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 (*.f64 x 1/2) x 1) x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x)))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x)))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(atan.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 x)))
(atan.f64 (*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1)))
(atan.f64 (*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1)))
(atan.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 x)))
(atan.f64 (*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1)))
(atan.f64 (*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1)))
(atan.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 x)))
(atan.f64 (*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1)))
(atan.f64 (*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1)))
(atan.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 x)))
(atan.f64 (*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1)))
(atan.f64 (*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1)))
(atan.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 x)))
(atan.f64 (*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1)))
(atan.f64 (*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1)))
(atan.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 x)))
(atan.f64 (*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1)))
(atan.f64 (*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1)))
(atan.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 x)))
(atan.f64 (*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1)))
(atan.f64 (*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1)))
(atan.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 x)))
(atan.f64 (*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1)))
(atan.f64 (*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1)))
(atan.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1)))
(atan.f64 (*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1)))
(atan.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1)))
(atan.f64 (*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1)))
(atan.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1)))
(atan.f64 (*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1)))
(atan.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1)))
(atan.f64 (*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1)))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(+.f64 1 (+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (neg.f64 x))))
(*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1))
(+.f64 1 (+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (neg.f64 x) (fma.f64 1/2 (*.f64 x x) 1))))
(*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1))
(+.f64 1 (+.f64 (neg.f64 x) (*.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x))))
(*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1))
(+.f64 1 (+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x))))
(*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1))
(+.f64 (*.f64 1/2 (*.f64 x x)) (+.f64 1 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (neg.f64 x))))
(*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1))
(+.f64 (*.f64 1/2 (*.f64 x x)) (+.f64 1 (*.f64 (neg.f64 x) (fma.f64 1/2 (*.f64 x x) 1))))
(*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1))
(+.f64 (fma.f64 1/2 (*.f64 x x) 1) (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (neg.f64 x)))
(*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1))
(+.f64 (fma.f64 1/2 (*.f64 x x) 1) (*.f64 (neg.f64 x) (fma.f64 1/2 (*.f64 x x) 1)))
(*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1))
(+.f64 (fma.f64 1/2 (*.f64 x x) 1) (*.f64 1 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (neg.f64 x))))
(*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1))
(+.f64 (fma.f64 1/2 (*.f64 x x) 1) (*.f64 1 (*.f64 (neg.f64 x) (fma.f64 1/2 (*.f64 x x) 1))))
(*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1))
(+.f64 (fma.f64 1/2 (*.f64 x x) 1) (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (*.f64 (neg.f64 x) 1)))
(*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1))
(+.f64 (fma.f64 1/2 (*.f64 x x) 1) (*.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (neg.f64 x)) 1))
(*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1))
(+.f64 (fma.f64 1/2 (*.f64 x x) 1) (*.f64 (*.f64 (neg.f64 x) (fma.f64 1/2 (*.f64 x x) 1)) 1))
(*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1))
(+.f64 (fma.f64 1/2 (*.f64 x x) 1) (*.f64 (*.f64 (neg.f64 x) 1) (fma.f64 1/2 (*.f64 x x) 1)))
(*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1))
(+.f64 (-.f64 1 x) (*.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x)))
(*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1))
(+.f64 (-.f64 1 x) (*.f64 1 (*.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x))))
(*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1))
(+.f64 (-.f64 1 x) (*.f64 (*.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x)) 1))
(*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1))
(+.f64 (neg.f64 x) (+.f64 1 (*.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x))))
(*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1))
(+.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (neg.f64 x)) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1))
(+.f64 (*.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x)) (-.f64 1 x))
(*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1))
(+.f64 (*.f64 (neg.f64 x) (fma.f64 1/2 (*.f64 x x) 1)) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1))
(+.f64 (+.f64 (*.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x)) 1) (neg.f64 x))
(*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1))
(+.f64 (+.f64 (*.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x)) 1) (*.f64 (neg.f64 x) 1))
(*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1))
(+.f64 (+.f64 (*.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x)) (neg.f64 x)) 1)
(*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 (-.f64 1 x) (fma.f64 (*.f64 x 1/2) x 1))
(+.f64 (*.f64 1 (*.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x))) (-.f64 1 x))
(*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1))
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(+.f64 (/.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/4)) (fma.f64 -1/2 (*.f64 x x) 1)) -1)
(+.f64 -1 (/.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/4)) (fma.f64 -1/2 (*.f64 x x) 1)))
(pow.f64 (*.f64 1/2 (*.f64 x x)) 1)
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 3)
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/8))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (*.f64 x x)))))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/8))
(expm1.f64 (log1p.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(exp.f64 (log.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (*.f64 x x))) 1))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(log1p.f64 (expm1.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))

localize26.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))))
0.0b
(atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)))))
0.0b
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)))
Compiler

Compiled 72 to 47 computations (34.7% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)))))
0.0ms
x
@inf
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)))
0.0ms
x
@0
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)))
0.0ms
x
@-inf
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)))
0.0ms
x
@-inf
(atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)))))

rewrite111.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
1898×associate-*r/
1540×associate-*l/
602×associate-+l+
350×+-commutative
322×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014103
131183
2424283
Stop Event
node limit
Counts
3 → 160
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)))
(atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)))))
(+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) 1) (*.f64 (*.f64 -1/2 (pow.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/2 (pow.f64 x 3)) 1) (*.f64 (*.f64 x (*.f64 x 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (/.f64 (+.f64 1/2 (*.f64 1/2 x)) (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (/.f64 (+.f64 1/4 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 -1/4 x))) (+.f64 1/8 (*.f64 -1/8 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))) (+.f64 1/2 (*.f64 1/2 x)))))) 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simplify152.0ms (2.4%)

Algorithm
egg-herbie
Rules
1570×associate-+l+
1418×associate-+r+
936×+-commutative
646×associate-*r*
610×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044911474
1122510076
2561510072
Stop Event
node limit
Counts
196 → 246
Calls
Call 1
Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(atan.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1/2 x) 1/2) (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1/2 x) 1/2) (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1/2 x) 1/2) (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1/2 x) 1/2) (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x)))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x)))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x)))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x)))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x)))))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x)))))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x)))))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x)))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))))
(+.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 x (*.f64 x 1/2)))
(+.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) 1) (*.f64 (*.f64 -1/2 (pow.f64 x 3)) 1))
(+.f64 (*.f64 (*.f64 -1/2 (pow.f64 x 3)) 1) (*.f64 (*.f64 x (*.f64 x 1/2)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))) 1)
(/.f64 (*.f64 x x) (/.f64 (+.f64 1/2 (*.f64 1/2 x)) (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))))
(/.f64 (*.f64 x x) (/.f64 (+.f64 1/4 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 -1/4 x))) (+.f64 1/8 (*.f64 -1/8 (pow.f64 x 3)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))) (+.f64 1/2 (*.f64 1/2 x)))
(/.f64 (*.f64 (*.f64 x x) (+.f64 1/8 (*.f64 -1/8 (pow.f64 x 3)))) (+.f64 1/4 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 -1/4 x))))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)) (*.f64 x x)) (+.f64 1/2 (*.f64 1/2 x)))
(/.f64 (*.f64 (+.f64 1/8 (*.f64 -1/8 (pow.f64 x 3))) (*.f64 x x)) (+.f64 1/4 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 -1/4 x))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/2))) (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (-.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 3) (pow.f64 (*.f64 -1/2 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/2))) (-.f64 (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3))) (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3))))))
(/.f64 (*.f64 x (*.f64 x (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)))) (+.f64 1/2 (*.f64 1/2 x)))
(/.f64 (*.f64 x (*.f64 x (+.f64 1/8 (*.f64 -1/8 (pow.f64 x 3))))) (+.f64 1/4 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 -1/4 x))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) 1/4) 1/4)) (-.f64 (*.f64 x -1/2) 1/2))
(/.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)))) (neg.f64 (+.f64 1/2 (*.f64 1/2 x))))
(/.f64 (*.f64 (*.f64 x x) (neg.f64 (+.f64 1/8 (*.f64 -1/8 (pow.f64 x 3))))) (neg.f64 (+.f64 1/4 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 -1/4 x)))))
(/.f64 (*.f64 1 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)))) (+.f64 1/2 (*.f64 1/2 x)))
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(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 2)))) (neg.f64 (-.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 3)))) (neg.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 2)))) (sqrt.f64 (-.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 2)))) (cbrt.f64 (-.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) 2) (cbrt.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 2) (pow.f64 (-.f64 1 x) 2)) 1) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))
(/.f64 (*.f64 (-.f64 1 (*.f64 (-.f64 x (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))) (-.f64 x (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))))) 1) (-.f64 (+.f64 x 1) (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (-.f64 x (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))) 3)) 1) (+.f64 1 (+.f64 (-.f64 x (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))) (*.f64 (-.f64 x (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))) (-.f64 x (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 2))) 1) (neg.f64 (-.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 2))) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))) (sqrt.f64 (-.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 3))) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 2))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) 2)) (cbrt.f64 (-.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 3))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 1 x) 2)) (*.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 2) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 2))) (/.f64 1 (-.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))))) (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 1 x) 2) 3) (pow.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 2) 3)) (/.f64 1 (-.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))))) (+.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 1 x) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 2) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 2)) (*.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (*.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 3) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 3))) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))))) (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 1 x) 3) 3) (pow.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))))) (-.f64 (+.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (*.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 3) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 3))) (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 3))))
(pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))))
(fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) (-.f64 1 x))
(fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))
(fma.f64 (fma.f64 x -1/2 1/2) (*.f64 x x) (-.f64 1 x))
(fma.f64 1 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))
(fma.f64 1 (-.f64 1 x) (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))
(fma.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 x (sqrt.f64 (fma.f64 x -1/2 1/2))) (-.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))) 2) (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))) (-.f64 1 x))
Outputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(atan.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1/2 x) 1/2) (pow.f64 x 2))) x))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(atan.f64 (-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1/2 x) 1/2) (pow.f64 x 2))) x))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(atan.f64 (-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1/2 x) 1/2) (pow.f64 x 2))) x))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(atan.f64 (-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1/2 x) 1/2) (pow.f64 x 2))) x))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(atan.f64 (-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(atan.f64 (-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(atan.f64 (-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(atan.f64 (-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 1/2 (pow.f64 x 3)) x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(atan.f64 (-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x)))))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(atan.f64 (-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x)))))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(atan.f64 (-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x)))))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(atan.f64 (-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x)))))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(atan.f64 (-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x))
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x)))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x)))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x)
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(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 4) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 4)) (/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 2) (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (-.f64 (-.f64 1 x) (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 4) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 4)) (*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 2) (pow.f64 (-.f64 1 x) 2)) (-.f64 (-.f64 1 x) (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 1 x) 2) 3) (pow.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 2) 3)) (/.f64 1 (-.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))))) (+.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 1 x) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 2) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 2)) (*.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 1 x) 2) 3) (pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 2) 3)) (/.f64 (+.f64 (+.f64 (pow.f64 (-.f64 1 x) 4) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 4)) (*.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 2) (pow.f64 (-.f64 1 x) 2))) (/.f64 1 (-.f64 (-.f64 1 x) (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 x) 6) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 6)) (-.f64 (-.f64 1 x) (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))))) (+.f64 (pow.f64 (-.f64 1 x) 4) (fma.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 2) (pow.f64 (-.f64 1 x) 2) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 4))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (*.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 3) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 3))) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))))) (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 3)))
(/.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) (-.f64 1 x))))) (-.f64 (pow.f64 (-.f64 1 x) 6) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 6))) (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 3)))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 6) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 6)) (*.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x -1/2 1/2) 3))) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) (+.f64 x (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) -1)) (pow.f64 (-.f64 1 x) 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 1 x) 3) 3) (pow.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))))) (-.f64 (+.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (*.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 3) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 3))) (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 3))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 1 x) 3) 3) (pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 3) 3)) (/.f64 (+.f64 (pow.f64 (-.f64 1 x) 6) (-.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 6) (*.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 3) (pow.f64 (-.f64 1 x) 3)))) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) (-.f64 1 x)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 1 x) 3) 3) (pow.f64 (*.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x -1/2 1/2) 3)) 3)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) (+.f64 x (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) -1)) (pow.f64 (-.f64 1 x) 2))) (+.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 6) (-.f64 (pow.f64 (-.f64 1 x) 6) (*.f64 (*.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x -1/2 1/2) 3)) (pow.f64 (-.f64 1 x) 3)))))
(pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)) 1)
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) 2)
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) 3)
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)) 3) 1/3)
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)) 2))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x) 2))
(fabs.f64 (-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x))
(log.f64 (exp.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)) 3))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(exp.f64 (log.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) 1))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) (-.f64 1 x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(fma.f64 (fma.f64 x -1/2 1/2) (*.f64 x x) (-.f64 1 x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(fma.f64 1 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(fma.f64 1 (-.f64 1 x) (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(fma.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 x (sqrt.f64 (fma.f64 x -1/2 1/2))) (-.f64 1 x))
(+.f64 (-.f64 1 x) (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/2 1/2))) 2))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))) 2) (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))) (-.f64 1 x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/2 (pow.f64 x 3) (neg.f64 x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (atan.f64 (-.f64 1 x)))
0.0b
(atan.f64 (-.f64 1 x))
0.0b
(-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
Compiler

Compiled 35 to 29 computations (17.1% saved)

series0.0ms (0%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
0.0ms
x
@-inf
(+.f64 1 (atan.f64 (-.f64 1 x)))
0.0ms
x
@0
(+.f64 1 (atan.f64 (-.f64 1 x)))
0.0ms
x
@inf
(+.f64 1 (atan.f64 (-.f64 1 x)))
0.0ms
x
@-inf
(-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)

rewrite80.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1158×associate-*r/
898×associate-*l/
766×*-commutative
660×distribute-lft-in
618×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0940
120128
2277828
Stop Event
node limit
Counts
2 → 165
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
(+.f64 1 (atan.f64 (-.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 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(+.f64 1 (atan.f64 (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))) 1)))))

simplify178.0ms (2.9%)

Algorithm
egg-herbie
Rules
1046×associate-+l-
1006×associate-+r-
1004×associate--r+
872×+-commutative
654×associate--l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041010199
111679761
251529761
Stop Event
node limit
Counts
181 → 257
Calls
Call 1
Inputs
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.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)))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) -1))
(+.f64 (atan.f64 (-.f64 1 x)) 0)
(+.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1)
(+.f64 0 (atan.f64 (-.f64 1 x)))
(+.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 1)
(+.f64 -1 (+.f64 1 (atan.f64 (-.f64 1 x))))
(*.f64 1 (atan.f64 (-.f64 1 x)))
(*.f64 (atan.f64 (-.f64 1 x)) 1)
(*.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)))))
(*.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x))))) (-.f64 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x)))) 1))
(*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x)))) 1) (+.f64 1 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x))))))
(*.f64 (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1))
(*.f64 (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)))) (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1)) (atan.f64 (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (-.f64 1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))) (-.f64 0 (atan.f64 (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (+.f64 1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3))) (+.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) (pow.f64 (atan.f64 (-.f64 1 x)) 2))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (-.f64 (*.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)) (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2)))) (-.f64 (+.f64 (atan.f64 (-.f64 1 x)) (pow.f64 (atan.f64 (-.f64 1 x)) 2)) 1))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) 3) (pow.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)) (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) (-.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)))))
(/.f64 1 (/.f64 1 (atan.f64 (-.f64 1 x))))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)) (*.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1)) (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3))))
(/.f64 (atan.f64 (-.f64 1 x)) 1)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (+.f64 (atan.f64 (-.f64 1 x)) 2))
(/.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) (/.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (-.f64 (+.f64 1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)) (*.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1)) (/.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3))) (/.f64 (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3))) (/.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)) (*.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1)) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1))) (/.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)))) (/.f64 (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)))) (/.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)) (*.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1)) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) (+.f64 (atan.f64 (-.f64 1 x)) -1))) (+.f64 (-.f64 1 (atan.f64 (-.f64 1 x))) 1))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) 1) (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))) (+.f64 1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) 1) (*.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)) (*.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1)) (+.f64 1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)) 1) (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) (+.f64 1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) (-.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 1))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) 3) 1) (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (+.f64 1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) 3) 1) (*.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)) (*.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1)) (+.f64 (*.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (+.f64 1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) 3) 1) (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) (+.f64 (*.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)) (+.f64 1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1)) (neg.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3))) (neg.f64 (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)))))
(/.f64 (*.f64 1 (-.f64 1 (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) (+.f64 (atan.f64 (-.f64 1 x)) -1)))) (+.f64 (-.f64 1 (atan.f64 (-.f64 1 x))) 1))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 3))) (+.f64 1 (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) (-.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 1))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1))) (neg.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2)))
(/.f64 (*.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)))) (neg.f64 (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)))))
(/.f64 (*.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1))) (sqrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2)))
(/.f64 (*.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)))) (sqrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1))) (cbrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)))) (cbrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) (+.f64 (atan.f64 (-.f64 1 x)) -1))) 1) (+.f64 (-.f64 1 (atan.f64 (-.f64 1 x))) 1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 3)) 1) (+.f64 1 (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) (-.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 1))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1)) 1) (neg.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2)))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3))) 1) (neg.f64 (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1)) (sqrt.f64 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3))) (sqrt.f64 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1)) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)) 1) (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) 2))) (+.f64 1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)))
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(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) 1) (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))))) (+.f64 1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) 3) 1) (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (+.f64 1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) 1) (+.f64 (atan.f64 (-.f64 1 x)) 2))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (sqrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2))) (sqrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (*.f64 (cbrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2)) (cbrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) 1) (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (sqrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))))) (sqrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (*.f64 (cbrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)))) (cbrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)))))) (cbrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)))))
(pow.f64 (atan.f64 (-.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))
(atan.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (atan.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))
(fma.f64 1 (+.f64 1 (atan.f64 (-.f64 1 x))) -1)
(fma.f64 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x)))) (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) -1)
(-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 0)
(-.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (atan.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (-.f64 1 (atan.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2)) (-.f64 (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) 2)) 1))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)))) (-.f64 (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)))) 1))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2))) (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) 2)))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))))) (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 2 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)))))
(*.f64 1 (+.f64 1 (atan.f64 (-.f64 1 x))))
(*.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
(*.f64 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x)))) (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))
(*.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (/.f64 1 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(*.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))
(*.f64 (/.f64 1 (-.f64 1 (atan.f64 (-.f64 1 x)))) (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))) (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))) (+.f64 1 (atan.f64 (-.f64 1 x))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (+.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) (pow.f64 (atan.f64 (-.f64 1 x)) 2))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (-.f64 1 (*.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))) (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))) (+.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (atan.f64 (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (+.f64 1 (pow.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))) 3))) (+.f64 1 (*.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))) (-.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))) 1))))
(*.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1)) (+.f64 1 (atan.f64 (-.f64 1 x))))
(*.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1)) (+.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) (pow.f64 (atan.f64 (-.f64 1 x)) 2))))
(/.f64 1 (/.f64 1 (+.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (-.f64 1 (atan.f64 (-.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (/.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))) 1))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))) (/.f64 (-.f64 1 (atan.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))) (cbrt.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)))) (/.f64 (-.f64 1 (atan.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) (+.f64 (atan.f64 (-.f64 1 x)) -1))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))) (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (pow.f64 (atan.f64 (-.f64 1 x)) 2))) (*.f64 (-.f64 1 (atan.f64 (-.f64 1 x))) (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 3)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))) (+.f64 1 (*.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 3)) (*.f64 (-.f64 1 (atan.f64 (-.f64 1 x))) (+.f64 1 (*.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))) (neg.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1)) (+.f64 (atan.f64 (-.f64 1 x)) -1))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)))) (neg.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)))) (sqrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) 1) (+.f64 (atan.f64 (-.f64 1 x)) -1))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))) 1) (neg.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))) 1) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))) (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (pow.f64 (atan.f64 (-.f64 1 x)) 2))) (/.f64 1 (-.f64 1 (atan.f64 (-.f64 1 x))))) (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 3)) (/.f64 1 (-.f64 1 (atan.f64 (-.f64 1 x))))) (+.f64 1 (*.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))) (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))) (+.f64 1 (*.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) 1) (-.f64 1 (atan.f64 (-.f64 1 x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (sqrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))) (cbrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) 1) (+.f64 (atan.f64 (-.f64 1 x)) -1))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) (sqrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1))) (sqrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1)))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) (*.f64 (cbrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1)) (cbrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1)))) (cbrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1)))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) (+.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x))))) (-.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 1))
(pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
(pow.f64 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (atan.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3))
(expm1.f64 (log.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2)))
(exp.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))
(fma.f64 1 (atan.f64 (-.f64 1 x)) 1)
(fma.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))) 1)
Outputs
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.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))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) -1))
(atan.f64 (-.f64 1 x))
(+.f64 (atan.f64 (-.f64 1 x)) 0)
(atan.f64 (-.f64 1 x))
(+.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1)
(atan.f64 (-.f64 1 x))
(+.f64 0 (atan.f64 (-.f64 1 x)))
(atan.f64 (-.f64 1 x))
(+.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 1)
(atan.f64 (-.f64 1 x))
(+.f64 -1 (+.f64 1 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(*.f64 1 (atan.f64 (-.f64 1 x)))
(atan.f64 (-.f64 1 x))
(*.f64 (atan.f64 (-.f64 1 x)) 1)
(atan.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
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(/.f64 (/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 6)) (-.f64 1 (atan.f64 (-.f64 1 x)))) (+.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 4) 1)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 6)) (-.f64 1 (atan.f64 (-.f64 1 x)))) (+.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 4))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))) (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 6)) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))) (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))) (+.f64 1 (*.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 3)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))) (+.f64 1 (*.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) (+.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) -1)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 3)) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))) (fma.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) (+.f64 -1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) 1))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) 1) (-.f64 1 (atan.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (-.f64 1 (atan.f64 (-.f64 1 x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (sqrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (-.f64 1 (atan.f64 (-.f64 1 x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))) (cbrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (-.f64 1 (atan.f64 (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) 1) (+.f64 (atan.f64 (-.f64 1 x)) -1))
(/.f64 (+.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) -1) (+.f64 (atan.f64 (-.f64 1 x)) -1))
(/.f64 (+.f64 -1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (+.f64 (atan.f64 (-.f64 1 x)) -1))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) (sqrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1))) (sqrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1)))
(/.f64 (+.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) -1) (+.f64 (atan.f64 (-.f64 1 x)) -1))
(/.f64 (+.f64 -1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (+.f64 (atan.f64 (-.f64 1 x)) -1))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) (*.f64 (cbrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1)) (cbrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1)))) (cbrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1)))
(/.f64 (+.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) -1) (+.f64 (atan.f64 (-.f64 1 x)) -1))
(/.f64 (+.f64 -1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (+.f64 (atan.f64 (-.f64 1 x)) -1))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) (+.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x))))) (-.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 1))
(/.f64 (+.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) -1) (+.f64 (atan.f64 (-.f64 1 x)) -1))
(/.f64 (+.f64 -1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (+.f64 (atan.f64 (-.f64 1 x)) -1))
(pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
(+.f64 1 (atan.f64 (-.f64 1 x)))
(pow.f64 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 3)
(+.f64 1 (atan.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) 1/3)
(+.f64 1 (atan.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))
(fabs.f64 (+.f64 1 (atan.f64 (-.f64 1 x))))
(log.f64 (exp.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (atan.f64 (-.f64 1 x))))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(expm1.f64 (log.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2)))
(exp.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(fma.f64 1 (atan.f64 (-.f64 1 x)) 1)
(+.f64 1 (atan.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))) 1)
(+.f64 1 (atan.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))) 1)
(+.f64 1 (atan.f64 (-.f64 1 x)))

eval636.0ms (10.3%)

Compiler

Compiled 22496 to 17532 computations (22.1% saved)

prune257.0ms (4.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New8012803
Fresh000
Picked011
Done246
Total8037810
Error
0b
Counts
810 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
0.1b
(*.f64 2 (atan.f64 (-.f64 (+.f64 (*.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x)) 1) x)))
0.3b
(*.f64 2 (atan.f64 (-.f64 1 x)))
0.1b
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 1/2 (*.f64 x x)))))
0.1b
(*.f64 2 (atan.f64 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (-.f64 1 x))))
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.9b
(*.f64 2 (atan.f64 1))
Compiler

Compiled 80 to 66 computations (17.5% saved)

regimes22.0ms (0.4%)

Counts
14 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 1/2 (*.f64 x x)))))
(*.f64 2 (atan.f64 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (-.f64 1 x))))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))))))
(*.f64 2 (atan.f64 (-.f64 (+.f64 (*.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x)) 1) x)))
(*.f64 2 (atan.f64 (sqrt.f64 1)))
(*.f64 2 (atan.f64 (sqrt.f64 (+.f64 1 (*.f64 -2 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 1 (*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x)))))))
(*.f64 2 (atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))))
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 x) 2)))))
(*.f64 2 (log.f64 (exp.f64 (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:

7.0ms
x
4.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
3.0ms
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
2.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))
2.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.0b1(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
0.0b1(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0b1(/.f64 (-.f64 1 x) (+.f64 1 x))
Compiler

Compiled 205 to 162 computations (21% saved)

regimes9.0ms (0.1%)

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

1 calls:

6.0ms
x
Results
ErrorSegmentsBranch
0.1b1x
Compiler

Compiled 95 to 74 computations (22.1% saved)

regimes6.0ms (0.1%)

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

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
0.1b1x
Compiler

Compiled 49 to 39 computations (20.4% saved)

regimes6.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 1/2 (*.f64 x x)))))
Outputs
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 1/2 (*.f64 x x)))))
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
0.1b1x
Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.6b remaining (-229%)

Threshold costs -0.6b (-229%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
Outputs
(*.f64 2 (atan.f64 (-.f64 1 x)))
Calls

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
0.3b1x
Compiler

Compiled 23 to 20 computations (13% saved)

simplify10.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
033184
152184
256184
358184
459184
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))))))
(*.f64 2 (atan.f64 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (-.f64 1 x))))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 1/2 (*.f64 x x)))))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 1))
Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))))))
(*.f64 2 (atan.f64 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (-.f64 1 x))))
(*.f64 2 (atan.f64 (*.f64 (-.f64 1 x) (+.f64 1 (*.f64 (*.f64 x x) 1/2)))))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 1/2 (*.f64 x x)))))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) 1/2))))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 1))
Compiler

Compiled 69 to 56 computations (18.8% saved)

soundness0.0ms (0%)

end126.0ms (2%)

Compiler

Compiled 64 to 49 computations (23.4% saved)

Profiling

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