Details

Time bar (total: 4.9s)

analyze5.0ms (0.1%)

Algorithm
1×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)

sample1.0s (20.6%)

Results
1.0s8256×body256valid
1.0ms10×body256invalid
Bogosity

preprocess108.0ms (2.2%)

Algorithm
2×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
1×saturated
1×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)

simplify61.0ms (1.2%)

Algorithm
1×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
1×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 (0.4%)

Local error

Found 3 expressions with local error:

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

series2.0ms (0%)

Counts
3 → 28
Calls

9 calls:

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

rewrite76.0ms (1.5%)

Algorithm
1×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
01069
121269
2285169
Stop Event
1×node limit
Counts
3 → 151
Calls
Call 1
Inputs
(/.f64 (-.f64 1 x) (+.f64 1 x))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
Outputs
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simplify94.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1552×associate-*r/
1290×associate-*l/
634×+-commutative
508×associate-+r+
426×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04177007
111026459
241936249
Stop Event
1×node limit
Counts
179 → 272
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 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))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.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)))
(+.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 (-.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))
(*.f64 (/.f64 (-.f64 (+.f64 1 x) (fma.f64 x x x)) (*.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (-.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 (pow.f64 x 3)))) (*.f64 (-.f64 1 x) (-.f64 (*.f64 x x) (-.f64 x 1))))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1)
(neg.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 1 1/2))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2)) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2)) 1/2))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1))))
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(/.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (cbrt.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 (fma.f64 x x x)))))
(/.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (sqrt.f64 (-.f64 1 x)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 x))))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2))
(log1p.f64 (expm1.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 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))))))
(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))))))
(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 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.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 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.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 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.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 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.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 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 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))
(+.f64 1 (*.f64 x (-.f64 (*.f64 1/2 x) 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 (fma.f64 (pow.f64 x 3) -1/2 (*.f64 x (*.f64 x 1/2))) x))
(+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (*.f64 x x)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (*.f64 x x))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (/.f64 (+.f64 1 (*.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1) 1/2)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))))
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(sqrt.f64 -1)
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(*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 x))) (/.f64 (fabs.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 (fma.f64 x x x)))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (fma.f64 x x x)))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (sqrt.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(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)
(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 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.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 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(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 (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 (neg.f64 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))))) (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 (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)))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(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 (neg.f64 x)))))
(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 (neg.f64 x)))))
(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 (neg.f64 x)))))
(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))
(fabs.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(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 (neg.f64 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 (neg.f64 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 (neg.f64 x)))))
(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 (neg.f64 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 (neg.f64 x)))))
(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 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))

eval101.0ms (2%)

Compiler

Compiled 5601 to 4336 computations (22.6% saved)

prune40.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2675272
Fresh000
Picked011
Done000
Total2676273
Error
0b
Counts
273 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(*.f64 2 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x))))
▶1.0b
(*.f64 2 (atan.f64 (-.f64 1 x)))
▶0.2b
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))))
▶0.5b
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
▶0.0b
(*.f64 2 (atan.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))))
Compiler

Compiled 142 to 114 computations (19.7% saved)

localize19.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiled 55 to 33 computations (40% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite78.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
1378×associate-*r/
1086×associate-*l/
1024×*-commutative
998×associate-/r*
862×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01179
123579
2316567
Stop Event
1×node limit
Counts
3 → 124
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)))
Outputs
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simplify91.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
934×associate-/r/
768×associate-+l+
632×+-commutative
604×associate-+r+
522×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03776498
19816210
245356178
Stop Event
1×node limit
Counts
160 → 241
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))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (/.f64 (sqrt.f64 -1) x) (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (/.f64 (sqrt.f64 -1) x) (*.f64 -1 (sqrt.f64 -1)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1)))) (pow.f64 x 3))) (*.f64 -1 (sqrt.f64 -1))))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 -1) x)
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (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) x))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (*.f64 -1 (*.f64 (sqrt.f64 -1) x))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x)))))
(atan.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(atan.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(atan.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(atan.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 (+.f64 1 x))))
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 (+.f64 1 x))))
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 (+.f64 1 x))))
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 (+.f64 1 x))))
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 (-.f64 1 (*.f64 -1 x)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (exp.f64 (neg.f64 (log1p.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (+.f64 1 x)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x 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 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (-.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 (*.f64 x x))))
(*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (+.f64 1 (-.f64 (*.f64 x x) x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 (pow.f64 x 3))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 -1 (+.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (+.f64 1 x)) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (+.f64 1 x)) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 1))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 1 x)) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 1 x)) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (exp.f64 (neg.f64 (log1p.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (+.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 (-.f64 (*.f64 x x) x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))
(*.f64 (/.f64 -1 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (+.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) 1) (exp.f64 (neg.f64 (log1p.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 (pow.f64 x 4))) (*.f64 (-.f64 1 x) (+.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 (pow.f64 x 6))) (*.f64 (-.f64 1 x) (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (neg.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 (*.f64 x x) 1)) (-.f64 x 1))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (+.f64 1 (-.f64 (*.f64 x x) x)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (-.f64 1 (pow.f64 x 4))) (*.f64 (-.f64 1 x) (+.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (-.f64 1 (pow.f64 x 6))) (*.f64 (-.f64 1 x) (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (neg.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (neg.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (-.f64 (*.f64 x x) 1)) (-.f64 x 1))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) -1)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 -1 x)))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 1 1/2))
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) 1/2))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (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 6)))) (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (pow.f64 x 4)))) (cbrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) 1) (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) 1) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 6))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (+.f64 1 (*.f64 x x))))
(pow.f64 (-.f64 1 (*.f64 x x)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x 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))))))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 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 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))
(-.f64 (*.f64 x (*.f64 x 1/2)) (+.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 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(+.f64 1 (-.f64 (fma.f64 -1/2 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x))
(+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (/.f64 (neg.f64 (sqrt.f64 -1)) x))
(-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x))
(+.f64 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))))
(+.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))) (/.f64 (neg.f64 (sqrt.f64 -1)) x)))
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(/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (cbrt.f64 (fma.f64 x x (+.f64 1 (pow.f64 x 4)))) (cbrt.f64 (-.f64 1 (pow.f64 x 6)))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (fma.f64 x x (+.f64 1 (pow.f64 x 4))))) (cbrt.f64 (-.f64 1 (pow.f64 x 6))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (pow.f64 x 4)))) (cbrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (-.f64 1 (pow.f64 x 4)))))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (/.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (-.f64 1 (pow.f64 x 4))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (fma.f64 x x (+.f64 1 (pow.f64 x 4)))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) 1) (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (fma.f64 x x (+.f64 1 (pow.f64 x 4)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) 1) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 6))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (cbrt.f64 (fma.f64 x x (+.f64 1 (pow.f64 x 4)))) (cbrt.f64 (-.f64 1 (pow.f64 x 6)))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (fma.f64 x x (+.f64 1 (pow.f64 x 4))))) (cbrt.f64 (-.f64 1 (pow.f64 x 6))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (-.f64 1 (pow.f64 x 4)))))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (/.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (-.f64 1 (pow.f64 x 4))))
(pow.f64 (-.f64 1 (*.f64 x x)) 1/2)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 2)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 x (neg.f64 x)))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (*.f64 x (neg.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x 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))
(fabs.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(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))))
(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))))

localize7.0ms (0.1%)

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))

rewrite52.0ms (1%)

Algorithm
1×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
1×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))))))))

simplify58.0ms (1.2%)

Algorithm
1×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
1×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))

localize18.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiled 51 to 35 computations (31.4% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite61.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
1044×*-commutative
838×associate-*r/
668×distribute-lft-in
660×distribute-rgt-in
600×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01129
123629
2303129
Stop Event
1×node limit
Counts
1 → 17
Calls
Call 1
Inputs
(atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) (sqrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) 2) (cbrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))))))

simplify68.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
786×*-commutative
762×associate-*r*
590×associate-*l*
568×distribute-lft-in
496×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053841
1102725
2414609
32161609
45293609
57758609
Stop Event
1×node limit
Counts
29 → 22
Calls
Call 1
Inputs
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) 1)
(*.f64 1 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))
(*.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 1)
(*.f64 (sqrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) (sqrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))
(*.f64 (cbrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) 2) (cbrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))
(pow.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 1)
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) 2)
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) 3)
(pow.f64 (pow.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 2))
(log.f64 (exp.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))
(exp.f64 (log.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))
Outputs
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) 1)
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(*.f64 1 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(*.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 1)
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(*.f64 (sqrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) (sqrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(*.f64 (cbrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) 2))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) 2) (cbrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(pow.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 1)
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) 2)
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) 3)
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(pow.f64 (pow.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 3) 1/3)
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 2))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(log.f64 (exp.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 3))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(exp.f64 (log.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))

localize26.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

Compiled 80 to 51 computations (36.3% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite77.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
1742×associate-*r/
1372×associate-*l/
448×associate-+l+
328×+-commutative
324×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01466
131358
2424158
Stop Event
1×node limit
Counts
2 → 76
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)))
(atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1))))) (#(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 1 (*.f64 x (*.f64 x 1/2))) (-.f64 (*.f64 -1/2 (pow.f64 x 3)) 1))))) (#(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 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1) 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 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))) (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3))) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)) (*.f64 x x)) (+.f64 1/2 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3)) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((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 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simplify68.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1184×associate-/l*
1152×distribute-lft-in
1068×distribute-rgt-in
1044×*-commutative
860×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02274390
16263922
228723794
Stop Event
1×node limit
Counts
100 → 116
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)))))
(+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 0)
(+.f64 1 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1))
(+.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 1 (*.f64 x (*.f64 x 1/2))) (-.f64 (*.f64 -1/2 (pow.f64 x 3)) 1))
(+.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 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1) 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 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))) (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 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 (pow.f64 (*.f64 x -1/2) 3))) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 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 (pow.f64 (*.f64 x -1/2) 3)) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 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 (pow.f64 (*.f64 x -1/2) 3)))) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 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 (pow.f64 (*.f64 x -1/2) 3)))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 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)))
(/.f64 (*.f64 1 (*.f64 (*.f64 x x) (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3)))) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))))
(/.f64 (*.f64 1 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)) (*.f64 x x))) (+.f64 1/2 (*.f64 1/2 x)))
(/.f64 (*.f64 1 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3)) (*.f64 x x))) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))))
(/.f64 (*.f64 1 (-.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 1 (+.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 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3)))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x)))))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2)) (cbrt.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 x))))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1/2)) 2)) (cbrt.f64 (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) 1/4) (*.f64 x x)) (-.f64 (*.f64 x -1/2) 1/2))
(/.f64 (*.f64 (neg.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))) (*.f64 x x)) (neg.f64 (+.f64 1/2 (*.f64 1/2 x))))
(/.f64 (*.f64 (neg.f64 (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3))) (*.f64 x x)) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x)))))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))) 1) (+.f64 1/2 (*.f64 1/2 x)))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3))) 1) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))))
(/.f64 (*.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)) (*.f64 x x)) 1) (+.f64 1/2 (*.f64 1/2 x)))
(/.f64 (*.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3)) (*.f64 x x)) 1) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))))
(/.f64 (*.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)))) 1) (-.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 3) (pow.f64 (*.f64 -1/2 (pow.f64 x 3)) 3)) 1) (+.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 (sqrt.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))) (*.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) (*.f64 x x))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3))) (*.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) (*.f64 x x))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x)))))
(/.f64 (*.f64 (*.f64 x (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))) x) (+.f64 1/2 (*.f64 1/2 x)))
(/.f64 (*.f64 (*.f64 x (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3))) x) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))))
(pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 x -1/2 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))))
(exp.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))))
(fma.f64 (*.f64 x x) 1/2 (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))) 1)
(*.f64 1 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))
(*.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 1)
(*.f64 (sqrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) (sqrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))))
(*.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))))
(pow.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 2))
(log.f64 (exp.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))))
(exp.f64 (log.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (atan.f64 (+.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 x (*.f64 1/2 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.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 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.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 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.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 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.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 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.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 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.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 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.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 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.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 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.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 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x 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 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x 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 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x 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 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x 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 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x 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 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x 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 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x 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 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x 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 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x 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 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x 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 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x 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 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 0)
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(+.f64 1 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(+.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 x (*.f64 x 1/2)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(+.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (-.f64 (*.f64 -1/2 (pow.f64 x 3)) 1))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(+.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) 1) (*.f64 (*.f64 -1/2 (pow.f64 x 3)) 1))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(+.f64 (*.f64 (*.f64 -1/2 (pow.f64 x 3)) 1) (*.f64 (*.f64 x (*.f64 x 1/2)) 1))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(-.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1) 1)
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(/.f64 (*.f64 x x) (/.f64 (+.f64 1/2 (*.f64 1/2 x)) (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))))
(*.f64 (/.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/2 x))) (-.f64 1/4 (*.f64 x (*.f64 x 1/4))))
(*.f64 (+.f64 1/4 (*.f64 (*.f64 x x) -1/4)) (/.f64 (*.f64 x x) (fma.f64 1/2 x 1/2)))
(*.f64 x (/.f64 x (/.f64 (fma.f64 x -1/2 -1/2) (fma.f64 x (*.f64 x 1/4) -1/4))))
(/.f64 (*.f64 x x) (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))) (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3))))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 1/4 (+.f64 1/4 (*.f64 1/4 x)))) (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/8)))
(*.f64 (fma.f64 (pow.f64 x 3) -1/8 1/8) (/.f64 x (/.f64 (+.f64 (fma.f64 (*.f64 x x) 1/4 1/4) (*.f64 x 1/4)) x)))
(*.f64 x (*.f64 (/.f64 x (+.f64 1/4 (*.f64 (+.f64 x 1) (*.f64 x 1/4)))) (fma.f64 (pow.f64 x 3) -1/8 1/8)))
(/.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 1/2 (*.f64 1/2 x))) (-.f64 1/4 (*.f64 x (*.f64 x 1/4))))
(*.f64 (+.f64 1/4 (*.f64 (*.f64 x x) -1/4)) (/.f64 (*.f64 x x) (fma.f64 1/2 x 1/2)))
(*.f64 x (/.f64 x (/.f64 (fma.f64 x -1/2 -1/2) (fma.f64 x (*.f64 x 1/4) -1/4))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3))) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 1/4 (+.f64 1/4 (*.f64 1/4 x)))) (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/8)))
(*.f64 (fma.f64 (pow.f64 x 3) -1/8 1/8) (/.f64 x (/.f64 (+.f64 (fma.f64 (*.f64 x x) 1/4 1/4) (*.f64 x 1/4)) x)))
(*.f64 x (*.f64 (/.f64 x (+.f64 1/4 (*.f64 (+.f64 x 1) (*.f64 x 1/4)))) (fma.f64 (pow.f64 x 3) -1/8 1/8)))
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(/.f64 (*.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)))) 1) (-.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 1/2 x) (*.f64 1/2 (*.f64 x x)))) (*.f64 1/4 (*.f64 (pow.f64 x 3) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/2 (pow.f64 x 3))))
(/.f64 (fma.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 1/2 x) (*.f64 -1/4 (pow.f64 x 6))) (*.f64 1/2 (+.f64 (*.f64 x x) (pow.f64 x 3))))
(/.f64 (*.f64 1/4 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 x 6))) (*.f64 (*.f64 x x) (fma.f64 1/2 x 1/2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 3) (pow.f64 (*.f64 -1/2 (pow.f64 x 3)) 3)) 1) (+.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 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (*.f64 -1/8 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/2 (*.f64 x x)) (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (-.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (*.f64 x x))))))
(/.f64 (fma.f64 -1/8 (pow.f64 (pow.f64 x 3) 3) (*.f64 1/8 (pow.f64 x 6))) (fma.f64 x (*.f64 1/2 (*.f64 1/2 (pow.f64 x 3))) (fma.f64 1/4 (pow.f64 x 6) (*.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 x 3)))))
(/.f64 (fma.f64 -1/8 (pow.f64 (pow.f64 x 3) 3) (*.f64 1/8 (pow.f64 x 6))) (+.f64 (*.f64 1/4 (pow.f64 x 6)) (*.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 (*.f64 x x) (+.f64 x 1)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))) (*.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) (*.f64 x x))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))))
(/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 x (*.f64 x 1/4)))) (/.f64 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 x))) (*.f64 x (*.f64 x (sqrt.f64 (fma.f64 x -1/2 1/2))))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -1/2 1/2))) (sqrt.f64 (fma.f64 1/2 x 1/2))) (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 x x) -1/4))))
(*.f64 (sqrt.f64 (+.f64 1/4 (*.f64 x (*.f64 x -1/4)))) (/.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) (/.f64 (sqrt.f64 (fma.f64 1/2 x 1/2)) (*.f64 x x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3))) (*.f64 (sqrt.f64 (fma.f64 x -1/2 1/2)) (*.f64 x x))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/8))) (*.f64 x (*.f64 x (sqrt.f64 (fma.f64 x -1/2 1/2))))) (sqrt.f64 (fma.f64 (*.f64 x x) 1/4 (+.f64 1/4 (*.f64 1/4 x)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/8 1/8)) (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) 1/4 1/4) (*.f64 x 1/4)))) (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -1/2 1/2))))
(*.f64 (*.f64 x (*.f64 x (sqrt.f64 (fma.f64 x -1/2 1/2)))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/8 1/8)) (sqrt.f64 (+.f64 1/4 (*.f64 (+.f64 x 1) (*.f64 x 1/4))))))
(/.f64 (*.f64 (*.f64 x (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))) x) (+.f64 1/2 (*.f64 1/2 x)))
(*.f64 (/.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/2 x))) (-.f64 1/4 (*.f64 x (*.f64 x 1/4))))
(*.f64 (+.f64 1/4 (*.f64 (*.f64 x x) -1/4)) (/.f64 (*.f64 x x) (fma.f64 1/2 x 1/2)))
(*.f64 x (/.f64 x (/.f64 (fma.f64 x -1/2 -1/2) (fma.f64 x (*.f64 x 1/4) -1/4))))
(/.f64 (*.f64 (*.f64 x (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3))) x) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 1/4 (+.f64 1/4 (*.f64 1/4 x)))) (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/8)))
(*.f64 (fma.f64 (pow.f64 x 3) -1/8 1/8) (/.f64 x (/.f64 (+.f64 (fma.f64 (*.f64 x x) 1/4 1/4) (*.f64 x 1/4)) x)))
(*.f64 x (*.f64 (/.f64 x (+.f64 1/4 (*.f64 (+.f64 x 1) (*.f64 x 1/4)))) (fma.f64 (pow.f64 x 3) -1/8 1/8)))
(pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1)
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))) 3)
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 3) 1/3)
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 2))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 2))
(fabs.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 x -1/2 1/2)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 3))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(exp.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))) 1))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(fma.f64 (*.f64 x x) 1/2 (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))) 1)
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(*.f64 1 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(*.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 1)
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(*.f64 (sqrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) (sqrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))))
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(*.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) 2))
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))))
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(pow.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 1)
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) 2)
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) 3)
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(pow.f64 (pow.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 3) 1/3)
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 2))
(sqrt.f64 (pow.f64 (atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) 2))
(fabs.f64 (atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x)))
(log.f64 (exp.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))))
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))))
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))) 3))
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))))
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(exp.f64 (log.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))))
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(exp.f64 (*.f64 (log.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))) 1))
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x)))))
(atan.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) 1) x))

localize27.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(atan.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)))
✓0.0b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))
✓0.0b
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)
0.0b
(/.f64 (-.f64 1 x) (+.f64 1 x))
Compiler

Compiled 61 to 48 computations (21.3% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)
0.0ms
x
@0
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)
0.0ms
x
@-inf
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)
0.0ms
x
@inf
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))
0.0ms
x
@-inf
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))

rewrite76.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
1544×associate-*l/
1512×associate-/r*
1058×associate-/l*
1054×*-commutative
922×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01287
125675
2334875
Stop Event
1×node limit
Counts
3 → 103
Calls
Call 1
Inputs
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))
(atan.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)))
Outputs
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simplify81.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1544×distribute-lft-in
1100×associate-*r/
990×associate-*l/
856×associate-/r/
556×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03365339
17865227
236245043
Stop Event
1×node limit
Counts
139 → 205
Calls
Call 1
Inputs
1
(+.f64 (*.f64 -3 x) 1)
(+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 9/2 (pow.f64 x 2))))
(+.f64 (*.f64 -3 x) (+.f64 1 (+.f64 (*.f64 -11/2 (pow.f64 x 3)) (*.f64 9/2 (pow.f64 x 2)))))
(sqrt.f64 -1)
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(sqrt.f64 -1)
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
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))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(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)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))) 1)
(*.f64 1 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1)
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) (pow.f64 1 3/2))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/4))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (*.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 (pow.f64 1 3/2) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))
(*.f64 (pow.f64 (-.f64 1 x) 3/2) (pow.f64 (/.f64 1 (+.f64 1 x)) 3/2))
(*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3/2) (pow.f64 (-.f64 1 x) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2) (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 3/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 3/2))
(/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (/.f64 (+.f64 1 x) (-.f64 1 x)))
(/.f64 (*.f64 (-.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (+.f64 1 x))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (pow.f64 (+.f64 1 x) 2))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (*.f64 (+.f64 1 x) (+.f64 1 (fma.f64 x x x))))
(/.f64 (*.f64 (+.f64 -1 x) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (-.f64 -1 x))
(/.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 (pow.f64 x 3))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (*.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (*.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (+.f64 1 x)))
(/.f64 (*.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (neg.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 (*.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 1 x)) (+.f64 1 x)) (*.f64 (/.f64 x (+.f64 1 x)) (/.f64 x (+.f64 1 x)))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (+.f64 1 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3) (pow.f64 (/.f64 x (+.f64 1 x)) 3)) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (+.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 1 x)) (+.f64 1 x)) (*.f64 (/.f64 x (+.f64 1 x)) (/.f64 x (+.f64 1 x)))) (/.f64 (/.f64 x (+.f64 1 x)) (+.f64 1 x))))
(/.f64 (*.f64 (+.f64 1 (-.f64 x (fma.f64 x x x))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (pow.f64 (+.f64 1 x) 2))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 x)) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (neg.f64 (-.f64 -1 x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (-.f64 1 x) (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 x)) (/.f64 (-.f64 1 x) (+.f64 1 x))) (sqrt.f64 (-.f64 -1 x)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)))
(exp.f64 (*.f64 3/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 1 1/3))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 1 (+.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 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/4) 1/3) (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/4) 1/3))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 (-.f64 1 x) (*.f64 x x))))
(/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.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 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (sqrt.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (cbrt.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (sqrt.f64 (+.f64 1 x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 x)) 1) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (/.f64 1 (+.f64 1 x)))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (sqrt.f64 (/.f64 1 (+.f64 1 x)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (+.f64 1 x)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 x)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (-.f64 -1 x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 x))))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(log1p.f64 (expm1.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 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))))))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
Outputs
1
(+.f64 (*.f64 -3 x) 1)
(fma.f64 -3 x 1)
(+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 9/2 (pow.f64 x 2))))
(+.f64 (fma.f64 -3 x 1) (*.f64 9/2 (*.f64 x x)))
(fma.f64 -3 x (fma.f64 9/2 (*.f64 x x) 1))
(+.f64 (*.f64 -3 x) (+.f64 1 (+.f64 (*.f64 -11/2 (pow.f64 x 3)) (*.f64 9/2 (pow.f64 x 2)))))
(+.f64 (fma.f64 -3 x 1) (fma.f64 -11/2 (pow.f64 x 3) (*.f64 9/2 (*.f64 x x))))
(+.f64 (fma.f64 -3 x 1) (fma.f64 9/2 (*.f64 x x) (*.f64 -11/2 (pow.f64 x 3))))
(sqrt.f64 -1)
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (/.f64 (*.f64 9/2 (sqrt.f64 -1)) (*.f64 x x)))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1)))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (+.f64 (sqrt.f64 -1) (/.f64 (*.f64 9/2 (sqrt.f64 -1)) (*.f64 x x)))))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (fma.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1))))
(sqrt.f64 -1)
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (/.f64 (*.f64 9/2 (sqrt.f64 -1)) (*.f64 x x)))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1)))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (+.f64 (sqrt.f64 -1) (/.f64 (*.f64 9/2 (sqrt.f64 -1)) (*.f64 x x)))))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (fma.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1))))
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 1 (-.f64 (*.f64 (*.f64 x x) 1/2) x))
(-.f64 1 (-.f64 x (*.f64 (*.f64 1/2 x) 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 1 (fma.f64 (pow.f64 x 3) -1/2 (-.f64 (*.f64 (*.f64 x x) 1/2) x)))
(+.f64 (-.f64 1 x) (fma.f64 (pow.f64 x 3) -1/2 (*.f64 (*.f64 1/2 x) x)))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
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(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 3))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)
(exp.f64 (*.f64 3/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(pow.f64 (exp.f64 3/2) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 1 1/3))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.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)) (sqrt.f64 (/.f64 1 (+.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 (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 (sqrt.f64 (/.f64 1 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/4) 1/3) (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/4) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/4)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/4)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 (-.f64 1 x) (*.f64 x x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (hypot.f64 1 (pow.f64 x 3/2))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.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 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (sqrt.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (cbrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 x))) (/.f64 (fabs.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 x)) 1) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (/.f64 1 (+.f64 1 x)))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (sqrt.f64 (/.f64 1 (+.f64 1 x)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 (+.f64 1 (fma.f64 x x x))) (sqrt.f64 (/.f64 1 (+.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (fma.f64 x x x)))) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (+.f64 1 x)))
(/.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 x)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (-.f64 -1 x)))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (-.f64 -1 x)))
(/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (/.f64 (cbrt.f64 (-.f64 -1 x)) (cbrt.f64 (+.f64 x -1))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(-.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))
(fabs.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(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))))
(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))))

eval481.0ms (9.7%)

Compiler

Compiled 16978 to 13130 computations (22.7% saved)

prune145.0ms (2.9%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New7623765
Fresh000
Picked011
Done145
Total7638771
Error
0b
Counts
771 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
▶1.0b
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
▶0.2b
(*.f64 2 (atan.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (+.f64 1 x))))
✓0.0b
(*.f64 2 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x))))
✓1.0b
(*.f64 2 (atan.f64 (-.f64 1 x)))
✓0.5b
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
✓0.0b
(*.f64 2 (atan.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))))
▶2.1b
(*.f64 2 (atan.f64 1))
Compiler

Compiled 91 to 76 computations (16.5% saved)

localize4.0ms (0.1%)

Compiler

Compiled 9 to 9 computations (0% saved)

localize21.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiled 60 to 38 computations (36.7% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite102.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
1616×associate-*r/
1340×associate-*l/
906×associate-/r*
736×associate-/l*
330×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01279
125671
2341871
Stop Event
1×node limit
Counts
3 → 69
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (+.f64 1 x))
(atan.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (+.f64 1 x)))
(*.f64 (*.f64 x x) -1/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x -1/2) 1) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 2) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) (fma.f64 x (*.f64 x -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (*.f64 x (*.f64 x -1/2))) (/.f64 1 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 1) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) (sqrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 x (*.f64 x -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (*.f64 x -1/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 x (*.f64 x -1/2)))) (+.f64 (/.f64 (pow.f64 x 4) (/.f64 (-.f64 1 (*.f64 x (*.f64 x -1/2))) 1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))))

simplify82.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
762×associate-+l-
716×associate-/l*
716×associate-+r-
686×unswap-sqr
684×associate--r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02022899
14932815
218202787
366442787
Stop Event
1×node limit
Counts
105 → 117
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 x)
(+.f64 1/2 (*.f64 -1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 -1/2 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 -1/2 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(*.f64 -1/2 x)
(+.f64 1/2 (*.f64 -1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 -1/2 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 -1/2 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(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))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 1)
(*.f64 1 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(*.f64 (fma.f64 x (*.f64 x -1/2) 1) (/.f64 1 (+.f64 1 x)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 1)
(*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (/.f64 1 (+.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) (/.f64 1 (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 2) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 1 x)) (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 (-.f64 -1 (*.f64 x (*.f64 x -1/2))) (/.f64 1 (-.f64 -1 x)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(*.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))
(*.f64 (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 1) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (+.f64 1 x)))
(*.f64 (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) (+.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) -1)
(neg.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (-.f64 -1 x)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))) (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))) 1)
(*.f64 1 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(*.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 1)
(*.f64 (sqrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) (sqrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(pow.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 2))
(log.f64 (exp.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(exp.f64 (log.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(+.f64 1 (-.f64 (*.f64 x (*.f64 x -1/2)) 1))
(+.f64 (*.f64 x (*.f64 x -1/2)) 0)
(-.f64 (fma.f64 x (*.f64 x -1/2) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) 1))) 2)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 x (*.f64 x -1/2)))) (+.f64 (/.f64 (pow.f64 x 4) (/.f64 (-.f64 1 (*.f64 x (*.f64 x -1/2))) 1/4)) 1))
(pow.f64 (*.f64 x (*.f64 x -1/2)) 1)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 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 (pow.f64 (exp.f64 x) x) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 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 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))
(fma.f64 x (*.f64 x 1/2) (-.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 (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 x (*.f64 x 1/2))) (-.f64 1 x))
(+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 1/2 (*.f64 -1/2 x))
(+.f64 1/2 (*.f64 x -1/2))
(fma.f64 x -1/2 1/2)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 -1/2 x)))
(+.f64 (+.f64 1/2 (*.f64 x -1/2)) (/.f64 1/2 x))
(+.f64 (fma.f64 x -1/2 1/2) (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 -1/2 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 1/2 (*.f64 x -1/2)) (/.f64 1/2 (*.f64 x x))))
(+.f64 (fma.f64 x -1/2 1/2) (+.f64 (/.f64 1/2 x) (/.f64 -1/2 (*.f64 x x))))
(+.f64 1/2 (+.f64 (fma.f64 x -1/2 (/.f64 1/2 x)) (/.f64 -1/2 (*.f64 x x))))
(+.f64 1/2 (+.f64 (/.f64 -1/2 (*.f64 x x)) (fma.f64 x -1/2 (/.f64 1/2 x))))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 1/2 (*.f64 -1/2 x))
(+.f64 1/2 (*.f64 x -1/2))
(fma.f64 x -1/2 1/2)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 -1/2 x)))
(+.f64 (+.f64 1/2 (*.f64 x -1/2)) (/.f64 1/2 x))
(+.f64 (fma.f64 x -1/2 1/2) (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 -1/2 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 1/2 (*.f64 x -1/2)) (/.f64 1/2 (*.f64 x x))))
(+.f64 (fma.f64 x -1/2 1/2) (+.f64 (/.f64 1/2 x) (/.f64 -1/2 (*.f64 x x))))
(+.f64 1/2 (+.f64 (fma.f64 x -1/2 (/.f64 1/2 x)) (/.f64 -1/2 (*.f64 x x))))
(+.f64 1/2 (+.f64 (/.f64 -1/2 (*.f64 x x)) (fma.f64 x -1/2 (/.f64 1/2 x))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 1)
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(*.f64 1 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(*.f64 (fma.f64 x (*.f64 x -1/2) 1) (/.f64 1 (+.f64 1 x)))
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(*.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 1)
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (/.f64 1 (+.f64 1 x))))
(*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (*.f64 (/.f64 1 (+.f64 1 x)) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))))
(*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (+.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) (/.f64 1 (+.f64 1 x))))
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 2))
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 2) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(*.f64 (/.f64 1 (+.f64 1 x)) (fma.f64 x (*.f64 x -1/2) 1))
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(*.f64 (-.f64 -1 (*.f64 x (*.f64 x -1/2))) (/.f64 1 (-.f64 -1 x)))
(/.f64 (+.f64 -1 (*.f64 x (*.f64 x 1/2))) (-.f64 -1 x))
(/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (cbrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (cbrt.f64 (+.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))
(*.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(/.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) (-.f64 1 x)) (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (fma.f64 x (neg.f64 x) 1)) (-.f64 1 x))
(*.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 x x) (-.f64 1 x)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))
(*.f64 (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 1) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (+.f64 1 x)))
(*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (*.f64 (/.f64 1 (+.f64 1 x)) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))))
(*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (+.f64 1 x)))
(*.f64 (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) (+.f64 1 x)))
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 1)
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 2)
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 3)
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 3) 1/3)
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(pow.f64 (/.f64 (+.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) -1)
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (-.f64 -1 x)))
(*.f64 (-.f64 -1 (*.f64 x (*.f64 x -1/2))) (/.f64 1 (-.f64 -1 x)))
(/.f64 (+.f64 -1 (*.f64 x (*.f64 x 1/2))) (-.f64 -1 x))
(/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 2))
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(log.f64 (exp.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 3))
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(exp.f64 (-.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))) (log1p.f64 x)) 1))
(exp.f64 (-.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))) (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))) 1)
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(*.f64 1 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(*.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 1)
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) (sqrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 2))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(pow.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 1)
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 2)
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 3)
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 3) 1/3)
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 2))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(log.f64 (exp.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 3))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(exp.f64 (log.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 1))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 x (*.f64 x -1/2)) 1))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 x (*.f64 x -1/2)) 0)
(*.f64 x (*.f64 x -1/2))
(-.f64 (fma.f64 x (*.f64 x -1/2) 1) 1)
(*.f64 x (*.f64 x -1/2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) 1))) 2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) 1))) -2)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 x (*.f64 x -1/2)))) (+.f64 (/.f64 (pow.f64 x 4) (/.f64 (-.f64 1 (*.f64 x (*.f64 x -1/2))) 1/4)) 1))
(-.f64 (/.f64 1 (-.f64 1 (*.f64 x (*.f64 x -1/2)))) (+.f64 1 (*.f64 (/.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x (*.f64 x -1/2)))) 1/4)))
(-.f64 (-.f64 (/.f64 1 (+.f64 1 (*.f64 x (*.f64 x 1/2)))) 1) (/.f64 (pow.f64 x 4) (-.f64 4 (/.f64 (*.f64 x x) -1/2))))
(-.f64 (/.f64 1 (fma.f64 x (*.f64 x 1/2) 1)) (fma.f64 1/4 (/.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/2) 1)) 1))
(pow.f64 (*.f64 x (*.f64 x -1/2)) 1)
(*.f64 x (*.f64 x -1/2))
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(*.f64 x (*.f64 x -1/2))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 3)
(*.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 (pow.f64 (exp.f64 x) x) -1/2))
(*.f64 x (*.f64 x -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))))
(*.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 x (*.f64 x -1/2))))
(*.f64 x (*.f64 x -1/2))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/2))))
(*.f64 x (*.f64 x -1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/2))) 1))
(*.f64 x (*.f64 x -1/2))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/2))))
(*.f64 x (*.f64 x -1/2))

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(atan.f64 (-.f64 1 x))
✓0.0b
(+.f64 1 (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
@inf
(+.f64 1 (atan.f64 (-.f64 1 x)))
0.0ms
x
@0
(+.f64 1 (atan.f64 (-.f64 1 x)))
0.0ms
x
@-inf
(-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)

rewrite142.0ms (2.9%)

Algorithm
1×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
1×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
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simplify123.0ms (2.5%)

Algorithm
1×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
1×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)))))
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(/.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))
(*.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))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.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 1 (+.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 (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 1 (*.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) (+.f64 (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 1 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x))))) (+.f64 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x)))) -1))
(+.f64 -1 (pow.f64 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x)))) 2))
(*.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 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x))))) (+.f64 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x)))) -1))
(+.f64 -1 (pow.f64 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x)))) 2))
(*.f64 (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1))
(atan.f64 (-.f64 1 x))
(*.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 -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 (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 1 (*.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) (+.f64 (atan.f64 (-.f64 1 x)) 2))))
(*.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)))
(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 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)) (-.f64 1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))) (neg.f64 (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))) 2)) (+.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) (pow.f64 (atan.f64 (-.f64 1 x)) 2))) (+.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 1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3))) (+.f64 (+.f64 1 (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 (+.f64 1 (atan.f64 (-.f64 1 x))) 4) (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2)))) (+.f64 (atan.f64 (-.f64 1 x)) (+.f64 (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 (+.f64 1 (atan.f64 (-.f64 1 x))) 4) (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) (-.f64 -2 (atan.f64 (-.f64 1 x)))))) (+.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (+.f64 (atan.f64 (-.f64 1 x)) -1)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 4) (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) (-.f64 -2 (atan.f64 (-.f64 1 x)))))) (+.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) (pow.f64 (atan.f64 (-.f64 1 x)) 2)))
(*.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 (/.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 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 4) (*.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 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) 3) (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 6))) (fma.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) (+.f64 2 (-.f64 (atan.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))) (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 4)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (+.f64 (pow.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) 3) (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 6))) (fma.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)) (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 4)))
(/.f64 1 (/.f64 1 (atan.f64 (-.f64 1 x))))
(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 (+.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 (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 1 (*.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) (+.f64 (atan.f64 (-.f64 1 x)) 2))))
(/.f64 (atan.f64 (-.f64 1 x)) 1)
(atan.f64 (-.f64 1 x))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (+.f64 (atan.f64 (-.f64 1 x)) 2))
(atan.f64 (-.f64 1 x))
(/.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) (/.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))
(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 1 (+.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 1 (*.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) (+.f64 (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)))
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(/.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 (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 (sqrt.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))) (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (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)))))) (hypot.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3/2)))
(/.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 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x)))) (/.f64 (sqrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))))
(/.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 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (/.f64 (cbrt.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)) 3))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))) (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2))
(/.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 (cbrt.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))) (/.f64 (cbrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x))))) (cbrt.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))))
(/.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 (neg.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))) 1) (neg.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.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 (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 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 (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 (sqrt.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (/.f64 (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))) (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x))))))
(*.f64 (/.f64 (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)))))) (hypot.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3/2)))
(/.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 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x)))) (/.f64 (sqrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x)))) (sqrt.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))) (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 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (/.f64 (cbrt.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)) 3))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))) (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2))
(/.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 (cbrt.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))) (/.f64 (cbrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x))))) (cbrt.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))))
(/.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 (atan.f64 (-.f64 1 x)) 4)) (-.f64 1 (atan.f64 (-.f64 1 x)))) (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)))
(/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 4)) (*.f64 (-.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 (pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 3)) (-.f64 1 (atan.f64 (-.f64 1 x)))) (+.f64 1 (+.f64 (*.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (pow.f64 (atan.f64 (-.f64 1 x)) 4))))
(/.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)))

eval284.0ms (5.7%)

Compiler

Compiled 10205 to 8941 computations (12.4% saved)

prune91.0ms (1.8%)

Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New3902392
Fresh000
Picked011
Done077
Total39010400
Error
0b
Counts
400 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
▶1.0b
(*.f64 2 (/.f64 1 (/.f64 1 (atan.f64 (-.f64 1 x)))))
✓1.0b
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
✓0.2b
(*.f64 2 (atan.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (+.f64 1 x))))
✓0.0b
(*.f64 2 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x))))
✓1.0b
(*.f64 2 (atan.f64 (-.f64 1 x)))
✓0.5b
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))))
▶0.2b
(*.f64 2 (atan.f64 (*.f64 (-.f64 -1 (*.f64 x (*.f64 x -1/2))) (/.f64 1 (-.f64 -1 x)))))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
✓0.0b
(*.f64 2 (atan.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))))
✓2.1b
(*.f64 2 (atan.f64 1))
Compiler

Compiled 119 to 100 computations (16% saved)

localize36.0ms (0.7%)

Local error

Found 3 expressions with local error:

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

Compiled 72 to 55 computations (23.6% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite140.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
1808×associate-*l/
794×associate-/r*
630×associate-/l*
608×associate-/r/
310×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01479
130179
2381379
Stop Event
1×node limit
Counts
3 → 224
Calls
Call 1
Inputs
(/.f64 1 (-.f64 -1 x))
(*.f64 (-.f64 -1 (*.f64 x (*.f64 x -1/2))) (/.f64 1 (-.f64 -1 x)))
(atan.f64 (*.f64 (-.f64 -1 (*.f64 x (*.f64 x -1/2))) (/.f64 1 (-.f64 -1 x))))
Outputs
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simplify142.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
1076×associate-/l*
726×associate-*r*
686×associate-*l*
638×associate-/r*
616×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062411970
1186810556
Stop Event
1×node limit
Counts
260 → 359
Calls
Call 1
Inputs
-1
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) 1)
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (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 x)
(+.f64 1/2 (*.f64 -1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 -1/2 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 -1/2 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(*.f64 -1/2 x)
(+.f64 1/2 (*.f64 -1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 -1/2 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 -1/2 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(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 -1 (/.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1) (+.f64 1 x))))
(atan.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1) (+.f64 1 x))))
(atan.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1) (+.f64 1 x))))
(atan.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1) (+.f64 1 x))))
(atan.f64 (/.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1) (-.f64 (*.f64 -1 x) 1)))
(atan.f64 (/.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1) (-.f64 (*.f64 -1 x) 1)))
(atan.f64 (/.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1) (-.f64 (*.f64 -1 x) 1)))
(atan.f64 (/.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1) (-.f64 (*.f64 -1 x) 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 -1 x)))) 1)
(*.f64 1 (/.f64 1 (-.f64 -1 x)))
(*.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 (/.f64 1 (+.f64 1 x)) -1)
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(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x))))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x)))))
(exp.f64 (log.f64 (atan.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x)))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x)))) 1))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x)))))
Outputs
-1
(-.f64 x 1)
(+.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) x) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) x) -1)
(-.f64 -1 (fma.f64 x x (neg.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3))) -1)
(*.f64 (+.f64 -1 x) (fma.f64 x x 1))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
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 (fma.f64 x (*.f64 x 1/2) 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 1 (fma.f64 (pow.f64 x 3) -1/2 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 1/2 (*.f64 -1/2 x))
(+.f64 1/2 (*.f64 x -1/2))
(fma.f64 x -1/2 1/2)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 -1/2 x)))
(+.f64 (+.f64 1/2 (*.f64 x -1/2)) (/.f64 1/2 x))
(+.f64 (fma.f64 x -1/2 1/2) (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 -1/2 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 1/2 (*.f64 x -1/2)) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1/2 x) (-.f64 (fma.f64 x -1/2 1/2) (/.f64 (/.f64 1/2 x) x)))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 1/2 (*.f64 -1/2 x))
(+.f64 1/2 (*.f64 x -1/2))
(fma.f64 x -1/2 1/2)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 -1/2 x)))
(+.f64 (+.f64 1/2 (*.f64 x -1/2)) (/.f64 1/2 x))
(+.f64 (fma.f64 x -1/2 1/2) (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 -1/2 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 1/2 (*.f64 x -1/2)) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1/2 x) (-.f64 (fma.f64 x -1/2 1/2) (/.f64 (/.f64 1/2 x) x)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.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 (*.f64 x x))) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.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 (*.f64 x x))) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.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 (*.f64 x x))) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x)))
(atan.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1) (+.f64 1 x))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x)))
(atan.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1) (+.f64 1 x))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x)))
(atan.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1) (+.f64 1 x))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x)))
(atan.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1) (+.f64 1 x))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x)))
(atan.f64 (/.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1) (-.f64 (*.f64 -1 x) 1)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x)))
(atan.f64 (/.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1) (-.f64 (*.f64 -1 x) 1)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x)))
(atan.f64 (/.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1) (-.f64 (*.f64 -1 x) 1)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x)))
(atan.f64 (/.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1) (-.f64 (*.f64 -1 x) 1)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 -1 x)))) 1)
(/.f64 1 (-.f64 -1 x))
(/.f64 -1 (+.f64 x 1))
(*.f64 1 (/.f64 1 (-.f64 -1 x)))
(/.f64 1 (-.f64 -1 x))
(/.f64 -1 (+.f64 x 1))
(*.f64 -1 (/.f64 1 (+.f64 1 x)))
(/.f64 1 (-.f64 -1 x))
(/.f64 -1 (+.f64 x 1))
(*.f64 (/.f64 1 (-.f64 -1 x)) 1)
(/.f64 1 (-.f64 -1 x))
(/.f64 -1 (+.f64 x 1))
(*.f64 (pow.f64 (-.f64 -1 x) -1/2) (pow.f64 (-.f64 -1 x) -1/2))
(/.f64 1 (-.f64 -1 x))
(/.f64 -1 (+.f64 x 1))
(*.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 -1 x) -2)))
(*.f64 (/.f64 -1 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (pow.f64 (-.f64 -1 x) -2)))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 -1 x) -2))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 -1 x) -2)) (/.f64 -1 (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 -1 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (pow.f64 (-.f64 -1 x) -2)))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 -1 x) -2))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 1 (+.f64 1 x)) -1)
(/.f64 1 (-.f64 -1 x))
(/.f64 -1 (+.f64 x 1))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 -1 x))
(/.f64 (-.f64 1 x) (+.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 1 (-.f64 -1 (pow.f64 x 3))) (+.f64 1 (*.f64 x (+.f64 -1 x))))
(/.f64 (*.f64 1 (+.f64 1 (*.f64 x (+.f64 -1 x)))) (-.f64 -1 (pow.f64 x 3)))
(/.f64 (-.f64 (fma.f64 x x 1) x) (-.f64 -1 (pow.f64 x 3)))
(*.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))))
(*.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 x 4))) (+.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (+.f64 -1 x) (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1))
(*.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 (+.f64 -1 x) (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(*.f64 (/.f64 (+.f64 1 (*.f64 x (+.f64 -1 x))) (-.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 x 3)))) (+.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 (+.f64 1 (*.f64 x (+.f64 -1 x))) (-.f64 1 (pow.f64 x 6))) (+.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 (-.f64 (fma.f64 x x 1) x) (-.f64 1 (pow.f64 x 6))) (+.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 (+.f64 1 (*.f64 x (+.f64 -1 x))) (-.f64 -1 (pow.f64 (pow.f64 x 3) 3))) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 -1 (pow.f64 x 3)))))
(*.f64 (/.f64 (+.f64 1 (*.f64 x (+.f64 -1 x))) (-.f64 -1 (pow.f64 (pow.f64 x 3) 3))) (+.f64 1 (+.f64 (pow.f64 x 6) (pow.f64 (neg.f64 x) 3))))
(/.f64 (-.f64 (fma.f64 x x 1) x) (/.f64 (-.f64 -1 (pow.f64 (pow.f64 x 3) 3)) (-.f64 (+.f64 1 (pow.f64 x 6)) (pow.f64 x 3))))
(*.f64 (/.f64 1 (neg.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (+.f64 -1 x)))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 -1 x))
(/.f64 (-.f64 1 x) (+.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 1 (neg.f64 (-.f64 -1 (pow.f64 x 3)))) (neg.f64 (+.f64 1 (*.f64 x (+.f64 -1 x)))))
(/.f64 (*.f64 1 (+.f64 1 (*.f64 x (+.f64 -1 x)))) (-.f64 -1 (pow.f64 x 3)))
(/.f64 (-.f64 (fma.f64 x x 1) x) (-.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 1 (*.f64 x x)))) (+.f64 -1 x))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 -1 x))
(/.f64 (-.f64 1 x) (+.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 -1 (pow.f64 x 3)))) (+.f64 1 (*.f64 x (+.f64 -1 x))))
(/.f64 (*.f64 1 (+.f64 1 (*.f64 x (+.f64 -1 x)))) (-.f64 -1 (pow.f64 x 3)))
(/.f64 (-.f64 (fma.f64 x x 1) x) (-.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (+.f64 -1 x))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 -1 x))
(/.f64 (-.f64 1 x) (+.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 (neg.f64 x) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 -1 (neg.f64 x)))))
(/.f64 (*.f64 1 (+.f64 1 (*.f64 x (+.f64 -1 x)))) (-.f64 -1 (pow.f64 x 3)))
(/.f64 (-.f64 (fma.f64 x x 1) x) (-.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 (pow.f64 (-.f64 -1 x) -1/2) (sqrt.f64 (-.f64 -1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (*.f64 x (+.f64 -1 x)))))
(*.f64 (/.f64 (pow.f64 (-.f64 -1 x) -1/2) (sqrt.f64 (-.f64 -1 (pow.f64 x 3)))) (sqrt.f64 (-.f64 (fma.f64 x x 1) x)))
(*.f64 (/.f64 (pow.f64 (-.f64 -1 x) -1/2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 -1 x) -2)) (cbrt.f64 (-.f64 -1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (*.f64 x (+.f64 -1 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 -1 x) -2)) (cbrt.f64 (-.f64 -1 (pow.f64 x 3)))) (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 -1 x) -2)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (+.f64 -1 x)))
(pow.f64 (-.f64 -1 x) -1)
(/.f64 1 (-.f64 -1 x))
(/.f64 -1 (+.f64 x 1))
(pow.f64 (/.f64 1 (-.f64 -1 x)) 1)
(/.f64 1 (-.f64 -1 x))
(/.f64 -1 (+.f64 x 1))
(pow.f64 (pow.f64 (-.f64 -1 x) -1/2) 2)
(/.f64 1 (-.f64 -1 x))
(/.f64 -1 (+.f64 x 1))
(pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) 3)
(/.f64 1 (-.f64 -1 x))
(/.f64 -1 (+.f64 x 1))
(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))
(/.f64 -1 (+.f64 x 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 -1 x)))))
(/.f64 1 (-.f64 -1 x))
(/.f64 -1 (+.f64 x 1))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 -1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 -1 x))))
(/.f64 1 (-.f64 -1 x))
(/.f64 -1 (+.f64 x 1))
(exp.f64 (-.f64 (log.f64 -1) (log1p.f64 x)))
(/.f64 -1 (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 -1 x)) -1))
(/.f64 1 (-.f64 -1 x))
(/.f64 -1 (+.f64 x 1))
(exp.f64 (*.f64 (-.f64 (log.f64 -1) (log1p.f64 x)) 1))
(exp.f64 (-.f64 (log.f64 -1) (log1p.f64 x)))
(/.f64 -1 (exp.f64 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 -1 x))))
(/.f64 1 (-.f64 -1 x))
(/.f64 -1 (+.f64 x 1))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (*.f64 (*.f64 x x) 1/2) (-.f64 -1 x)))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (*.f64 x x) (/.f64 (-.f64 -1 x) 1/2)))
(fma.f64 (*.f64 x x) (/.f64 1/2 (-.f64 -1 x)) (/.f64 -1 (-.f64 -1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (*.f64 (*.f64 x x) 1/2) (/.f64 1 (-.f64 -1 x))))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (*.f64 x x) (/.f64 (-.f64 -1 x) 1/2)))
(fma.f64 (*.f64 x x) (/.f64 1/2 (-.f64 -1 x)) (/.f64 -1 (-.f64 -1 x)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (-.f64 -1 x)) (/.f64 1 (+.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (*.f64 x x) (/.f64 (-.f64 -1 x) 1/2)))
(fma.f64 (*.f64 x x) (/.f64 1/2 (-.f64 -1 x)) (/.f64 -1 (-.f64 -1 x)))
(+.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (/.f64 1 (-.f64 -1 x))) (/.f64 1 (+.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (*.f64 x x) (/.f64 (-.f64 -1 x) 1/2)))
(fma.f64 (*.f64 x x) (/.f64 1/2 (-.f64 -1 x)) (/.f64 -1 (-.f64 -1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x)))) 1)
(/.f64 (fma.f64 1/2 (*.f64 x x) -1) (-.f64 -1 x))
(/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x))
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (*.f64 x x) (/.f64 (-.f64 -1 x) 1/2)))
(fma.f64 (*.f64 x x) (/.f64 1/2 (-.f64 -1 x)) (/.f64 -1 (-.f64 -1 x)))
(/.f64 1 (/.f64 (-.f64 -1 x) (+.f64 -1 (*.f64 (*.f64 x x) 1/2))))
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(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (-.f64 -1 x) 3)) (pow.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) 3)))
(/.f64 (fma.f64 1/2 (*.f64 x x) -1) (-.f64 -1 x))
(/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) 3) (/.f64 1 (pow.f64 (-.f64 -1 x) 3))))
(/.f64 (fma.f64 1/2 (*.f64 x x) -1) (-.f64 -1 x))
(/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x))))
(/.f64 (fma.f64 1/2 (*.f64 x x) -1) (-.f64 -1 x))
(/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x))
(exp.f64 (log.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x))))
(/.f64 (fma.f64 1/2 (*.f64 x x) -1) (-.f64 -1 x))
(/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x))) 1))
(/.f64 (fma.f64 1/2 (*.f64 x x) -1) (-.f64 -1 x))
(/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x))))
(/.f64 (fma.f64 1/2 (*.f64 x x) -1) (-.f64 -1 x))
(/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x))))) 1)
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x)))
(*.f64 1 (atan.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x)))
(*.f64 (atan.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x))) 1)
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x)))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x)))) (sqrt.f64 (atan.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x)))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x)))) 2))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x)))) 2) (cbrt.f64 (atan.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x)))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x)))
(pow.f64 (atan.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x))) 1)
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x)))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x)))) 2)
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x)))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x)))) 3)
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x))) 3) 1/3)
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x)))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x))) 2))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 (fma.f64 1/2 (*.f64 x x) -1) (-.f64 -1 x))) 2))
(fabs.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x))))
(log.f64 (exp.f64 (atan.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x)))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x)))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x))))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x)))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x))) 3))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x)))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x)))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x)))
(exp.f64 (log.f64 (atan.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x)))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x)))
(exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x)))) 1))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x)))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x)))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x)))

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 35 to 29 computations (17.1% saved)

series1.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite74.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
1674×add-sqr-sqrt
1654×*-un-lft-identity
1540×add-cube-cbrt
1526×add-cbrt-cube
170×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
119328
2214728
Stop Event
1×node limit
Counts
2 → 47
Calls
Call 1
Inputs
(/.f64 1 (/.f64 1 (atan.f64 (-.f64 1 x))))
(/.f64 1 (atan.f64 (-.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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 *.f64 -1 (neg.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) -1/2) -1) (pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (atan.f64 (-.f64 1 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (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 log.f64 (+.f64 1 (expm1.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 atan.f64 (-.f64 1 x))))) (#(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 exp.f64 (*.f64 (log.f64 (atan.f64 (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (atan.f64 (-.f64 1 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (atan.f64 (-.f64 1 x))))) 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 (/.f64 1 (atan.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan.f64 (-.f64 1 x)) -1/2) (pow.f64 (atan.f64 (-.f64 1 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (atan.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) -2)) (/.f64 1 (cbrt.f64 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) -1) (pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) -1) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (atan.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (atan.f64 (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (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 (/.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (atan.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (atan.f64 (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (-.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (atan.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (atan.f64 (-.f64 1 x)))))))))

simplify55.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1146×unswap-sqr
762×distribute-lft-neg-in
698×associate-+r+
688×distribute-rgt-neg-in
622×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
098963
1211933
2972933
35054933
Stop Event
1×node limit
Counts
63 → 53
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 (exp.f64 (log1p.f64 (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))))
(*.f64 -1 (neg.f64 (atan.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) -1/2) -1) (pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (atan.f64 (-.f64 1 x)))) -1))
(pow.f64 (atan.f64 (-.f64 1 x)) 1)
(pow.f64 (/.f64 1 (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))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (-.f64 1 x))) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (atan.f64 (-.f64 1 x)))) -1))
(log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (atan.f64 (-.f64 1 x))))) 1)
(*.f64 1 (/.f64 1 (atan.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (atan.f64 (-.f64 1 x))) 1)
(*.f64 (pow.f64 (atan.f64 (-.f64 1 x)) -1/2) (pow.f64 (atan.f64 (-.f64 1 x)) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (atan.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) -2)) (/.f64 1 (cbrt.f64 (atan.f64 (-.f64 1 x)))))
(*.f64 -1 (/.f64 -1 (atan.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) -1) (pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) -1) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) -1))
(pow.f64 (atan.f64 (-.f64 1 x)) -1)
(pow.f64 (/.f64 1 (atan.f64 (-.f64 1 x))) 1)
(pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (atan.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (atan.f64 (-.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (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 (log1p.f64 (/.f64 1 (atan.f64 (-.f64 1 x)))))
(exp.f64 (neg.f64 (log.f64 (atan.f64 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (-.f64 1 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (atan.f64 (-.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (atan.f64 (-.f64 1 x)))))
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 (exp.f64 (log1p.f64 (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))
(*.f64 -1 (neg.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) -1/2) -1) (pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) -1/2) -1))
(atan.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (atan.f64 (-.f64 1 x)))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (atan.f64 (-.f64 1 x))))))
(/.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) -2)))
(pow.f64 (atan.f64 (-.f64 1 x)) 1)
(atan.f64 (-.f64 1 x))
(pow.f64 (/.f64 1 (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))
(log.f64 (+.f64 1 (expm1.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))
(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))
(exp.f64 (*.f64 (log.f64 (atan.f64 (-.f64 1 x))) 1))
(atan.f64 (-.f64 1 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (atan.f64 (-.f64 1 x)))) -1))
(atan.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (atan.f64 (-.f64 1 x))))) 1)
(/.f64 1 (atan.f64 (-.f64 1 x)))
(*.f64 1 (/.f64 1 (atan.f64 (-.f64 1 x))))
(/.f64 1 (atan.f64 (-.f64 1 x)))
(*.f64 (/.f64 1 (atan.f64 (-.f64 1 x))) 1)
(/.f64 1 (atan.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (atan.f64 (-.f64 1 x)) -1/2) (pow.f64 (atan.f64 (-.f64 1 x)) -1/2))
(/.f64 1 (atan.f64 (-.f64 1 x)))
(*.f64 (/.f64 1 (cbrt.f64 (atan.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) -2)) (/.f64 1 (cbrt.f64 (atan.f64 (-.f64 1 x)))))
(/.f64 (cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) -2)) (cbrt.f64 (atan.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) -2)) (/.f64 1 (cbrt.f64 (atan.f64 (-.f64 1 x)))))
(/.f64 (cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) -2)) (cbrt.f64 (atan.f64 (-.f64 1 x))))
(*.f64 -1 (/.f64 -1 (atan.f64 (-.f64 1 x))))
(/.f64 1 (atan.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) -1) (pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) -1))
(/.f64 1 (atan.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) -1) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) -1))
(/.f64 1 (atan.f64 (-.f64 1 x)))
(pow.f64 (atan.f64 (-.f64 1 x)) -1)
(/.f64 1 (atan.f64 (-.f64 1 x)))
(pow.f64 (/.f64 1 (atan.f64 (-.f64 1 x))) 1)
(/.f64 1 (atan.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) -1/2) 2)
(/.f64 1 (atan.f64 (-.f64 1 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (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 (atan.f64 (-.f64 1 x)) -2))
(/.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 (log1p.f64 (/.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 1 (atan.f64 (-.f64 1 x)))
(exp.f64 (neg.f64 (log.f64 (atan.f64 (-.f64 1 x)))))
(/.f64 1 (atan.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (atan.f64 (-.f64 1 x))) -1))
(/.f64 1 (atan.f64 (-.f64 1 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (atan.f64 (-.f64 1 x)))) 1))
(/.f64 1 (atan.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 1 (atan.f64 (-.f64 1 x)))

eval232.0ms (4.7%)

Compiler

Compiled 10141 to 7779 computations (23.3% saved)

prune74.0ms (1.5%)

Pruning

12 alts after pruning (2 fresh and 10 done)

PrunedKeptTotal
New4282430
Fresh000
Picked011
Done099
Total42812440
Error
0b
Counts
440 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
✓1.0b
(*.f64 2 (/.f64 1 (/.f64 1 (atan.f64 (-.f64 1 x)))))
✓1.0b
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
0.2b
(*.f64 2 (atan.f64 (/.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 1 (*.f64 x x))) (/.f64 1 (+.f64 -1 x)))))
0.2b
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 (*.f64 x x) 1/2))) (*.f64 (-.f64 -1 x) (+.f64 -1 (*.f64 -1/2 (*.f64 x x)))))))
✓0.2b
(*.f64 2 (atan.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (+.f64 1 x))))
✓0.0b
(*.f64 2 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x))))
✓1.0b
(*.f64 2 (atan.f64 (-.f64 1 x)))
✓0.5b
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))))
✓0.2b
(*.f64 2 (atan.f64 (*.f64 (-.f64 -1 (*.f64 x (*.f64 x -1/2))) (/.f64 1 (-.f64 -1 x)))))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
✓0.0b
(*.f64 2 (atan.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))))
✓2.1b
(*.f64 2 (atan.f64 1))
Compiler

Compiled 171 to 137 computations (19.9% saved)

regimes23.0ms (0.5%)

Counts
13 → 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 (/.f64 1 (/.f64 1 (atan.f64 (-.f64 1 x)))))
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))))
(*.f64 2 (atan.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (+.f64 1 x))))
(*.f64 2 (atan.f64 (*.f64 (-.f64 -1 (*.f64 x (*.f64 x -1/2))) (/.f64 1 (-.f64 -1 x)))))
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))))
(*.f64 2 (atan.f64 (/.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 1 (*.f64 x x))) (/.f64 1 (+.f64 -1 x)))))
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 (*.f64 x x) 1/2))) (*.f64 (-.f64 -1 x) (+.f64 -1 (*.f64 -1/2 (*.f64 x x)))))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x))))
(*.f64 2 (atan.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))))
Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Calls

5 calls:

7.0ms
x
4.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
3.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))
3.0ms
(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)))))
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 217 to 166 computations (23.5% saved)

regimes9.0ms (0.2%)

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

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
0.2b1x
Compiler

Compiled 141 to 106 computations (24.8% saved)

regimes6.0ms (0.1%)

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

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
0.2b1x
Compiler

Compiled 59 to 49 computations (16.9% saved)

regimes5.0ms (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 (/.f64 1 (/.f64 1 (atan.f64 (-.f64 1 x)))))
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))))
Outputs
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))))
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
0.5b1x
Compiler

Compiled 45 to 38 computations (15.6% saved)

regimes10.0ms (0.2%)

Accuracy

Total -1.2b remaining (-123.5%)

Threshold costs -1.2b (-123.5%)

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 (/.f64 1 (/.f64 1 (atan.f64 (-.f64 1 x)))))
Outputs
(*.f64 2 (atan.f64 (-.f64 1 x)))
Calls

1 calls:

9.0ms
x
Results
ErrorSegmentsBranch
1.0b1x
Compiler

Compiled 33 to 29 computations (12.1% saved)

simplify9.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
34×*-commutative
26×+-commutative
12×sub-neg
8×distribute-lft-neg-in
8×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039184
164184
277184
389184
498184
5102184
6104184
7105184
Stop Event
1×fuel
1×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 (*.f64 x (*.f64 x -1/2))) (/.f64 1 (-.f64 -1 x)))))
(*.f64 2 (atan.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (+.f64 1 x))))
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) 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 (*.f64 x (*.f64 x -1/2))) (/.f64 1 (-.f64 -1 x)))))
(*.f64 2 (atan.f64 (*.f64 (+.f64 -1 (*.f64 x (*.f64 x 1/2))) (/.f64 1 (-.f64 -1 x)))))
(*.f64 2 (atan.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (+.f64 1 x))))
(*.f64 2 (atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (+.f64 1 x))))
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 1))
Compiler

Compiled 69 to 57 computations (17.4% saved)

soundness204.0ms (4.1%)

Algorithm
3×egg-herbie
Rules
1552×associate-*r/
1552×associate-*r/
1290×associate-*l/
1290×associate-*l/
934×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04177007
111026459
241936249
04177007
111026459
241936249
03776498
19816210
245356178
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 141 to 117 computations (17% saved)

end76.0ms (1.5%)

Compiler

Compiled 64 to 52 computations (18.8% saved)

Profiling

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