Details

Time bar (total: 7.4s)

analyze11.0ms (0.2%)

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)

sample1.2s (15.9%)

Results
1.2s8256×body256valid
1.0ms14×body256invalid
Bogosity

preprocess75.0ms (1%)

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)

simplify69.0ms (0.9%)

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)

localize19.0ms (0.3%)

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)

series4.0ms (0%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 (-.f64 1 x) (+.f64 1 x))
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
@0
(/.f64 (-.f64 1 x) (+.f64 1 x))
0.0ms
x
@-inf
(/.f64 (-.f64 1 x) (+.f64 1 x))

rewrite84.0ms (1.1%)

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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simplify163.0ms (2.2%)

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))))

eval114.0ms (1.5%)

Compiler

Compiled 5601 to 4336 computations (22.6% saved)

prune42.0ms (0.6%)

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 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
▶1.0b
(*.f64 2 (atan.f64 (-.f64 1 x)))
▶0.7b
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))))
▶0.8b
(*.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 (expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
Compiler

Compiled 142 to 114 computations (19.7% saved)

localize36.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(atan.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
0.0b
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
✓0.0b
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.0b
(/.f64 (-.f64 1 x) (+.f64 1 x))
Compiler

Compiled 68 to 53 computations (22.1% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.0ms
x
@0
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.0ms
x
@-inf
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.0ms
x
@-inf
(atan.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
0.0ms
x
@0
(atan.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))

rewrite74.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1648×associate-/r*
1148×associate-/l*
1050×*-commutative
978×associate-/r/
554×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01250
125050
2308550
Stop Event
1×node limit
Counts
2 → 71
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(atan.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 1 1/2) (+.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) (*.f64 (pow.f64 1 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 1/4) (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 -1 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (/.f64 -1 (-.f64 -1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (-.f64 -1 x))) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (-.f64 -1 x)) 1/2) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1/2))))) (#(struct:change #<rule egg-rr> 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(sqrt.f64 x)) (sqrt.f64 (+.f64 1 (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) (+.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 1) (+.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 3) 1) (+.f64 (*.f64 (+.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) (+.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) (+.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (hypot.f64 1 (sqrt.f64 x)))) (sqrt.f64 (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))))))))

simplify69.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1462×associate-*r*
1208×associate-*l*
760×associate-+r+
674×distribute-lft-in
630×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02383429
15373289
218013063
Stop Event
1×node limit
Counts
95 → 121
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 (/.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 1 (+.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) -1))
(+.f64 1 (-.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1))
(+.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 0)
(+.f64 (+.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) -1)
(+.f64 -1 (+.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))
(+.f64 (*.f64 (pow.f64 1 1/2) (+.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) (*.f64 (pow.f64 1 1/2) -1))
(-.f64 (+.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 1)
(-.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2) 2)
(*.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 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 1/4) (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 1/4))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 -1 (-.f64 -1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (/.f64 -1 (-.f64 -1 x)) 1/2))
(*.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 (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 (sqrt.f64 (/.f64 -1 (-.f64 -1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 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 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2) 1/2))
(*.f64 (/.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 1 (-.f64 (*.f64 x x) x))))
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))
(/.f64 1 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (hypot.f64 1 (sqrt.f64 x)))
(/.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 1 (fma.f64 x x x)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (hypot.f64 1 (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) (+.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 1) (+.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) 3) 1) (+.f64 (*.f64 (+.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) (+.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) (+.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 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 (hypot.f64 1 (sqrt.f64 x)))) (sqrt.f64 (hypot.f64 1 (sqrt.f64 x))))
(pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1)
(pow.f64 (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)
(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))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 3/2))
(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))))) (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 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))
(+.f64 1 (*.f64 x (+.f64 -1 (*.f64 x 1/2))))
(+.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 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 (sqrt.f64 -1) (/.f64 (/.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 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))))
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(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))
(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)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 3/2))
(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 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))
(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))

rewrite58.0ms (0.8%)

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))))))))

simplify67.0ms (0.9%)

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))

localize20.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 51 to 35 computations (31.4% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite138.0ms (1.9%)

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
01154
123654
2303154
Stop Event
1×node limit
Counts
2 → 99
Calls
Call 1
Inputs
(atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x)))
(+.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))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (-.f64 1 (+.f64 1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (+.f64 1 (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2))))) (/.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (fma.f64 x (*.f64 x 1/2) x)) (-.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x 1/2) x)) 1))))) 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simplify99.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1340×associate-/l*
1042×associate-/r*
920×*-commutative
730×associate-+r+
590×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02777469
17716865
233326761
Stop Event
1×node limit
Counts
123 → 189
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))))
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 2)) (*.f64 -1 x)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.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 2)) (*.f64 -1 x)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.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 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))))))
(-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 x 1))
(-.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 0)
(-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) x)
(-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (-.f64 1 (+.f64 1 (neg.f64 x))))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (+.f64 1 (-.f64 x 1)))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) 1)
(-.f64 (/.f64 1 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2))))) (/.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (fma.f64 x (*.f64 x 1/2) x)) (-.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x 1/2) x)) 1))
(-.f64 (/.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (*.f64 x (fma.f64 x (*.f64 x 1/2) x)))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (*.f64 x (fma.f64 x (*.f64 x 1/2) x)))) 1))
(-.f64 (+.f64 2 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 1)
(-.f64 (+.f64 1 (/.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (fma.f64 x (*.f64 x 1/2) x))) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x 1/2) x)))
(-.f64 (+.f64 1 (/.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (*.f64 x (fma.f64 x (*.f64 x 1/2) x))))) (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (*.f64 x (fma.f64 x (*.f64 x 1/2) x)))))
(-.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) 0) x)
(*.f64 1 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))
(*.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 1)
(*.f64 (sqrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) (sqrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 2) (cbrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))
(*.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)) (/.f64 1 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2))))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))
(*.f64 (/.f64 1 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2))))) (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)))
(*.f64 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)) (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2))) (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)) (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3))) (+.f64 1 (+.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3)) (-.f64 1 (*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) (+.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)) (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3)) (+.f64 1 (pow.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 3))) (+.f64 1 (*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) (-.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 1))))
(/.f64 1 (/.f64 1 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)) (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2)))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) (sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2))) (/.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2)))) (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3)))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)))) (/.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2)))) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3) (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) 1) (-.f64 (*.f64 x (*.f64 x 1/2)) (+.f64 1 x)))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2))) (*.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2)))) (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (+.f64 1 (*.f64 x (*.f64 x 1/2)))) (*.f64 x x)) (+.f64 1 (fma.f64 x (*.f64 x 1/2) x)))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3) 3)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) (+.f64 1 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3) (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3) 1)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) 3)) (*.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2)))) (+.f64 1 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) 3) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (+.f64 1 (*.f64 x (*.f64 x 1/2)))) (*.f64 x (+.f64 1 (fma.f64 x (*.f64 x 1/2) x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2))) (neg.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2))))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) 1)) (-.f64 (*.f64 x (*.f64 x 1/2)) (+.f64 1 x)))
(/.f64 (*.f64 1 (-.f64 (*.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (+.f64 1 (*.f64 x (*.f64 x 1/2)))) (*.f64 x x))) (+.f64 1 (fma.f64 x (*.f64 x 1/2) x)))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) 3) (pow.f64 x 3))) (+.f64 (*.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (+.f64 1 (*.f64 x (*.f64 x 1/2)))) (*.f64 x (+.f64 1 (fma.f64 x (*.f64 x 1/2) x)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) (sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)))) (sqrt.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)))) (cbrt.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) 1) 1) (-.f64 (*.f64 x (*.f64 x 1/2)) (+.f64 1 x)))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (+.f64 1 (*.f64 x (*.f64 x 1/2)))) (*.f64 x x)) 1) (+.f64 1 (fma.f64 x (*.f64 x 1/2) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) 3) (pow.f64 x 3)) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (+.f64 1 (*.f64 x (*.f64 x 1/2)))) (*.f64 x (+.f64 1 (fma.f64 x (*.f64 x 1/2) x)))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2))) 1) (neg.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2))))))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3))) 1) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3))) (sqrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2))) (sqrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) (sqrt.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 2)) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 2)) (cbrt.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2))))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2))) (/.f64 1 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2)))))) (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) 3)) (/.f64 1 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2)))))) (+.f64 1 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3) (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3))) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) (+.f64 1 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3) (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3) 1))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)) 1) (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)) (sqrt.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2)))))) (sqrt.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)) (*.f64 (cbrt.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2))))) (cbrt.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2))))))) (cbrt.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))
(pow.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 2))
(log.f64 (exp.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 3))
(expm1.f64 (log.f64 (+.f64 2 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))
(exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))
(fma.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 1)
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) (sqrt.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 2) (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 1)
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 1/2 (*.f64 x x) (-.f64 1 x)))
(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 1/2 (*.f64 x x) (-.f64 1 x)))
(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 1/2 (*.f64 x x) (-.f64 1 x)))
(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 1/2 (*.f64 x x) (-.f64 1 x)))
(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 1/2 (*.f64 x x) (-.f64 1 x)))
(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 1/2 (*.f64 x x) (-.f64 1 x)))
(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 1/2 (*.f64 x x) (-.f64 1 x)))
(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 1/2 (*.f64 x x) (-.f64 1 x)))
(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 1/2 (*.f64 x x) (-.f64 1 x)))
(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 1/2 (*.f64 x x) (-.f64 1 x)))
(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 1/2 (*.f64 x x) (-.f64 1 x)))
(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 1/2 (*.f64 x x) (-.f64 1 x)))
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x))
(*.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 2)) (*.f64 -1 x))
(fma.f64 1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x (*.f64 1/2 x)) x)
(-.f64 (*.f64 1/2 (*.f64 x x)) x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x))
(*.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 2)) (*.f64 -1 x))
(fma.f64 1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x (*.f64 1/2 x)) x)
(-.f64 (*.f64 1/2 (*.f64 x x)) x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x))
(-.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 1/2 (*.f64 x x) (-.f64 1 x)))
(*.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 1/2 (*.f64 x x) (-.f64 1 x)))
(*.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 1/2 (*.f64 x x) (-.f64 1 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))))))
(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 1/2 (*.f64 x x) (-.f64 1 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))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
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(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 4)) (*.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 1/2 x)))) (+.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 2))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) 4)) (*.f64 (-.f64 x (fma.f64 1/2 (*.f64 x x) -1)) (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) 2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) 3)) (/.f64 1 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2)))))) (+.f64 1 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 2) 3)) (*.f64 (+.f64 x (-.f64 1 (*.f64 1/2 (*.f64 x x)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 2) 1) (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 4)))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 6)) (*.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 1/2 x)))) (+.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 2) (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 4)))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) 6)) (*.f64 (-.f64 x (fma.f64 1/2 (*.f64 x x) -1)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) 4) (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) 2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3) (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3))) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 6)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 2) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) (-.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 3))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 6)) (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 2) (-.f64 (fma.f64 1/2 (*.f64 x x) -1) x)) (-.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 3))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) 6)) (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) 3))) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) (fma.f64 1/2 (*.f64 x x) (-.f64 -1 x)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) (+.f64 1 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3) (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3) 1))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 3) 3)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 2) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))) (+.f64 1 (*.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 3) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 3) -1)))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 3) 3)) (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 2) (-.f64 (fma.f64 1/2 (*.f64 x x) -1) x)) (fma.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 3) (+.f64 -1 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 3)) 1)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) 3) 3)) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) (fma.f64 1/2 (*.f64 x x) (-.f64 -1 x))))) (fma.f64 (pow.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) 3) (+.f64 -1 (pow.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) 3)) 1))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)) 1) (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2)))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 2)) (+.f64 x (-.f64 1 (*.f64 1/2 (*.f64 x x)))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 2)) (+.f64 x (-.f64 1 (*.f64 x (*.f64 1/2 x)))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) 2)) (-.f64 x (fma.f64 1/2 (*.f64 x x) -1)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)) (sqrt.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2)))))) (sqrt.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2))))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 2)) (+.f64 x (-.f64 1 (*.f64 1/2 (*.f64 x x)))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 2)) (+.f64 x (-.f64 1 (*.f64 x (*.f64 1/2 x)))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) 2)) (-.f64 x (fma.f64 1/2 (*.f64 x x) -1)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2)) (*.f64 (cbrt.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2))))) (cbrt.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2))))))) (cbrt.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x 1/2))))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 2)) (+.f64 x (-.f64 1 (*.f64 1/2 (*.f64 x x)))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 2)) (+.f64 x (-.f64 1 (*.f64 x (*.f64 1/2 x)))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) 2)) (-.f64 x (fma.f64 1/2 (*.f64 x x) -1)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 2) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 3)) (-.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 2) (-.f64 (fma.f64 1/2 (*.f64 x x) -1) x)))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) 3)) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) (fma.f64 1/2 (*.f64 x x) (-.f64 -1 x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 2) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 3)) (-.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 2) (-.f64 (fma.f64 1/2 (*.f64 x x) -1) x)))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) 3)) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) (fma.f64 1/2 (*.f64 x x) (-.f64 -1 x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 2) (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 2) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 3)) (-.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x) 2) (-.f64 (fma.f64 1/2 (*.f64 x x) -1) x)))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) 3)) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) (fma.f64 1/2 (*.f64 x x) (-.f64 -1 x)))))
(pow.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 1)
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 2)
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))) 3)
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x))
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 3) 1/3)
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 2))
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) 2))
(fabs.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(fabs.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x)))
(log.f64 (exp.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 3))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x))
(expm1.f64 (log.f64 (+.f64 2 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x))
(exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))))
(exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(exp.f64 (log1p.f64 (-.f64 (*.f64 x (*.f64 1/2 x)) x)))
(exp.f64 (log1p.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x)))
(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x))
(fma.f64 1 (fma.f64 x (*.f64 x 1/2) (neg.f64 x)) 1)
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x))
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) (sqrt.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 1)
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 2) (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (neg.f64 x))) 1)
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x))

localize27.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite94.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1742×associate-*r/
1390×associate-*l/
436×associate-+l+
312×+-commutative
286×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01262
127654
2383054
Stop Event
1×node limit
Counts
2 → 126
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)))
(+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x)) 2) (cbrt.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x)) 1)))))

simplify115.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1416×associate-/r*
776×+-commutative
764×associate--r+
716×associate--l+
514×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03709546
110248590
244918566
Stop Event
1×node limit
Counts
150 → 225
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)))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))))
(+.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 0)
(+.f64 1 (-.f64 (*.f64 x (*.f64 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 x (*.f64 x (fma.f64 x -1/2 1/2))) 1) 1)
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(/.f64 (*.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 2) (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 2) 1) 1) (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) (+.f64 x 1)))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 1) (+.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 1)) (*.f64 x x)) 1) (+.f64 1 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 1) 3) (pow.f64 x 3)) 1) (+.f64 (+.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 1) (+.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 1)) (*.f64 x x)) (*.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 1) x)))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 2))) 1) (neg.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))))))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 3))) 1) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 2) (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 2))) (hypot.f64 1 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x)))) (sqrt.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 3))) (hypot.f64 1 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 2) (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 2))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 3))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 2) (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 2) (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 2))) (/.f64 1 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))))))) (+.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 2) 3)) (/.f64 1 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))))))) (+.f64 (+.f64 1 (*.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 2) (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 2))) (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 2)))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 3) (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 3))) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 2) (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x))))) (-.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 3)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 3) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 2) (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x))))) (-.f64 (+.f64 1 (*.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 3) (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 3))) (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 3)))
(pow.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) (-.f64 1 x)) 1)
(pow.f64 (hypot.f64 1 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x))) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) (-.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) (-.f64 1 x)) 3))
(expm1.f64 (log.f64 (+.f64 2 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x))))
(exp.f64 (log1p.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x)))
(exp.f64 (*.f64 (log1p.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x)) 1))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) (-.f64 1 x))))
(fma.f64 1 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 1)
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x)) (sqrt.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x)) 2) (cbrt.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x)) 1)
Outputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) 1) x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x)))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x)
(-.f64 (*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x)))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x)
(-.f64 (*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))
(+.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 0)
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(+.f64 1 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 1))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(+.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 x (*.f64 x 1/2)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(+.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (-.f64 (*.f64 -1/2 (pow.f64 x 3)) 1))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(+.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) 1) (*.f64 (*.f64 -1/2 (pow.f64 x 3)) 1))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(+.f64 (*.f64 (*.f64 -1/2 (pow.f64 x 3)) 1) (*.f64 (*.f64 x (*.f64 x 1/2)) 1))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(-.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 1) 1)
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(/.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 x (/.f64 (fma.f64 1/2 x 1/2) x)))
(*.f64 (+.f64 1/4 (*.f64 (*.f64 x x) -1/4)) (*.f64 (/.f64 x (fma.f64 1/2 x 1/2)) x))
(/.f64 (*.f64 x x) (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))) (+.f64 1/8 (*.f64 -1/8 (pow.f64 x 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 (*.f64 x x) (fma.f64 x (*.f64 x 1/4) (+.f64 1/4 (*.f64 x 1/4)))))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 3) -1/8 1/8)) (/.f64 (+.f64 (fma.f64 x (*.f64 x 1/4) 1/4) (*.f64 x 1/4)) x))
(/.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 x (/.f64 (fma.f64 1/2 x 1/2) x)))
(*.f64 (+.f64 1/4 (*.f64 (*.f64 x x) -1/4)) (*.f64 (/.f64 x (fma.f64 1/2 x 1/2)) x))
(/.f64 (*.f64 (*.f64 x x) (+.f64 1/8 (*.f64 -1/8 (pow.f64 x 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 (*.f64 x x) (fma.f64 x (*.f64 x 1/4) (+.f64 1/4 (*.f64 x 1/4)))))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 3) -1/8 1/8)) (/.f64 (+.f64 (fma.f64 x (*.f64 x 1/4) 1/4) (*.f64 x 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 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 x (/.f64 (fma.f64 1/2 x 1/2) x)))
(*.f64 (+.f64 1/4 (*.f64 (*.f64 x x) -1/4)) (*.f64 (/.f64 x (fma.f64 1/2 x 1/2)) x))
(/.f64 (*.f64 (+.f64 1/8 (*.f64 -1/8 (pow.f64 x 3))) (*.f64 x 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 (*.f64 x x) (fma.f64 x (*.f64 x 1/4) (+.f64 1/4 (*.f64 x 1/4)))))
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(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 2) (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 2))) (/.f64 1 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))))))) (+.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 2)))
(/.f64 (*.f64 (/.f64 1 (+.f64 x (-.f64 1 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))))) (-.f64 1 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 4))) (+.f64 1 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 2)))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 4)) (*.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 2)) (+.f64 x (-.f64 1 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) x) 4)) (*.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) x) 2)) (-.f64 x (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) -1))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 2) 3)) (/.f64 1 (+.f64 x (-.f64 1 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))))))) (+.f64 (+.f64 1 (*.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 2) (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 2))) (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 2)))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 2) 3)) (/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 2) (+.f64 1 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 4))) (/.f64 1 (+.f64 x (-.f64 1 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 6)) (+.f64 x (-.f64 1 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))))) (+.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 2) (+.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 4))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) x) 6)) (-.f64 x (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) -1))) (+.f64 (pow.f64 (-.f64 (*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) x) 2) (+.f64 1 (pow.f64 (-.f64 (*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) x) 4))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 3) (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 3))) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 2) (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x))))) (-.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 3)))
(/.f64 (*.f64 (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 2)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x))) (-.f64 1 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 6))) (-.f64 1 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 3)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 6)) (-.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 2) (-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) -1) x))) (-.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 3)))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) x) 6)) (*.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) x) 3)) (+.f64 (-.f64 x (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) -1)) (pow.f64 (-.f64 (*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) x) 2))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 3) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 2) (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x))))) (-.f64 (+.f64 1 (*.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 3) (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 3))) (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 3)))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 3) 3)) (/.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 6) (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 3))) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x) 2)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x)))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 3) 3)) (*.f64 (-.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 6)) (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 3)) (-.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 2) (-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) -1) x))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (-.f64 (*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) x) 3) 3)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) x) 6) (pow.f64 (-.f64 (*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) x) 3))) (+.f64 (-.f64 x (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) -1)) (pow.f64 (-.f64 (*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) x) 2))))
(pow.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) (-.f64 1 x)) 1)
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))
(pow.f64 (hypot.f64 1 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x))) 2)
(pow.f64 (hypot.f64 1 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x))) 2)
(pow.f64 (hypot.f64 1 (sqrt.f64 (-.f64 (*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) x))) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) (-.f64 1 x))) 3)
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))
(pow.f64 (pow.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) (-.f64 1 x)) 3) 1/3)
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) (-.f64 1 x)) 2))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) (-.f64 1 x)) 2))
(fabs.f64 (-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x))
(fabs.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))
(log.f64 (exp.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) (-.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 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) (-.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 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) (-.f64 1 x)) 3))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))
(expm1.f64 (log.f64 (+.f64 2 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))
(exp.f64 (log1p.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x)))
(exp.f64 (log1p.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x)))
(exp.f64 (log1p.f64 (-.f64 (*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) x)))
(exp.f64 (*.f64 (log1p.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x)) 1))
(exp.f64 (log1p.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) x)))
(exp.f64 (log1p.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x)))
(exp.f64 (log1p.f64 (-.f64 (*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)) x)))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) (-.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 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))
(fma.f64 1 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x) 1)
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x)) (sqrt.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x)) 1)
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x)) 2) (cbrt.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) x)) 1)
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 55 to 33 computations (40% saved)

series5.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@0
(atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
0.0ms
x
@0
(/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))
0.0ms
x
@inf
(/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))
0.0ms
x
@inf
(sqrt.f64 (-.f64 1 (*.f64 x x)))
0.0ms
x
@-inf
(/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))

rewrite91.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
1644×associate-*r/
1296×associate-*l/
1260×associate-/r*
1120×associate-/l*
1056×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01192
123792
2323280
Stop Event
1×node limit
Counts
4 → 166
Calls
Call 1
Inputs
(-.f64 1 (*.f64 x x))
(/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
Outputs
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simplify107.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1314×distribute-lft-in
1298×distribute-rgt-in
776×associate-*r/
682×associate-/l/
506×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04237914
110427172
240907148
Stop Event
1×node limit
Counts
214 → 305
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.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))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (/.f64 (sqrt.f64 -1) x) (*.f64 -1 (sqrt.f64 -1)))
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 -1))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 -1)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -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)))))
(+.f64 1 (*.f64 x (neg.f64 x)))
(+.f64 (*.f64 x (neg.f64 x)) 1)
(+.f64 (-.f64 1 (+.f64 1 (*.f64 x x))) 1)
(*.f64 1 (-.f64 1 (*.f64 x x)))
(*.f64 (-.f64 1 (*.f64 x x)) 1)
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.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 (pow.f64 (-.f64 1 (*.f64 x x)) 2)))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2)) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (+.f64 1 (*.f64 x x))))
(*.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 x x))) (-.f64 1 (pow.f64 x 4)))
(*.f64 (/.f64 1 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))) (-.f64 1 (pow.f64 x 6)))
(/.f64 1 (/.f64 1 (-.f64 1 (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x)))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (/.f64 (+.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 (pow.f64 x 4)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (/.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4))) (sqrt.f64 (-.f64 1 (pow.f64 x 6)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (cbrt.f64 (-.f64 1 (pow.f64 x 4)))) (/.f64 (+.f64 1 (*.f64 x x)) (cbrt.f64 (-.f64 1 (pow.f64 x 4)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 6))) (cbrt.f64 (-.f64 1 (pow.f64 x 6)))) (/.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4))) (cbrt.f64 (-.f64 1 (pow.f64 x 6)))))
(/.f64 (-.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (+.f64 1 (*.f64 x x)))
(/.f64 (+.f64 1 (pow.f64 (*.f64 x (neg.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 x (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 4))) (neg.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 6))) (neg.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (*.f64 1 (-.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))))) (+.f64 1 (*.f64 x x)))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (*.f64 x (neg.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 x (neg.f64 x)))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 x 4)))) (neg.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 x 6)))) (neg.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 x 4)))) (cbrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) 1) (+.f64 1 (*.f64 x x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 x (neg.f64 x)) 3)) 1) (+.f64 1 (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 x (neg.f64 x)))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 x 4))) 1) (neg.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 x 6))) 1) (neg.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2))) (cbrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 6))) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2))) (cbrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (cbrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 6))) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (cbrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 x 4))) (/.f64 1 (+.f64 1 (*.f64 x x)))) (+.f64 1 (pow.f64 x 4)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 x 4) 3)) (/.f64 1 (+.f64 1 (*.f64 x x)))) (+.f64 1 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 4) (pow.f64 x 4)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 6) (pow.f64 x 6))) (/.f64 1 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4))))) (+.f64 1 (pow.f64 x 6)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 x 6) 3)) (/.f64 1 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4))))) (+.f64 1 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 6) (pow.f64 x 6)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (sqrt.f64 (+.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (+.f64 1 (*.f64 x x))))) (cbrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 6)) 1) (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 6)) (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4))))) (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 x 6)) (*.f64 (cbrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))) (cbrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))) (cbrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(pow.f64 (-.f64 1 (*.f64 x x)) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2))
(log.f64 (exp.f64 (-.f64 1 (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (log1p.f64 (*.f64 x (neg.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (*.f64 x x))))
(+.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (neg.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 (neg.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(-.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x 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 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(*.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)) (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x 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 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))
(*.f64 (+.f64 -1 x) (/.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.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 (*.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 1 x)) 1))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1))
(*.f64 (/.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (/.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (-.f64 1 x) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (/.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (/.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))
(*.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 -1 x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (/.f64 (cbrt.f64 (-.f64 1 x)) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 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 (-.f64 1 x) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x 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 (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))))))
(-.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 (pow.f64 (-.f64 1 (*.f64 x x)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2)) 1/2))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (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 1 (sqrt.f64 (-.f64 1 (pow.f64 x 6)))) (sqrt.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 (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 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (sqrt.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 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) 1) (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 (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 (*.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)))))
(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)))))
Outputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(*.f64 x (neg.f64 x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(*.f64 x (neg.f64 x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (fma.f64 (*.f64 x x) 1/2 (neg.f64 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 -1/2 (pow.f64 x 3) (fma.f64 (*.f64 x x) 1/2 (neg.f64 x))))
(+.f64 1 (-.f64 (fma.f64 -1/2 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(+.f64 (/.f64 (sqrt.f64 -1) x) (*.f64 -1 (sqrt.f64 -1)))
(+.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 (sqrt.f64 -1) x))
(-.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1))
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 -1))))
(+.f64 (+.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))) (neg.f64 (sqrt.f64 -1)))
(+.f64 (/.f64 (sqrt.f64 -1) x) (-.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (sqrt.f64 -1)))
(+.f64 (-.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))))
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(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
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(sqrt.f64 (-.f64 1 (*.f64 x x)))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
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(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x))))
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(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2)) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2))
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(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
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(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))
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(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.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))
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(/.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 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (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 (-.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 (-.f64 1 (pow.f64 x 6))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
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(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
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(sqrt.f64 (-.f64 1 (*.f64 x x)))
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(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)))))
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eval1.1s (14.7%)

Compiler

Compiled 28669 to 21334 computations (25.6% saved)

prune690.0ms (9.4%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New110451109
Fresh000
Picked011
Done235
Total110691115
Error
0b
Counts
1115 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶1.0b
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
▶0.7b
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 (*.f64 x x) -1/2)))))
✓0.0b
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
✓1.0b
(*.f64 2 (atan.f64 (-.f64 1 x)))
✓0.8b
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))))
▶0.0b
(*.f64 2 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))))
▶61.3b
(*.f64 2 (atan.f64 (*.f64 x (*.f64 1/2 x))))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
▶1.4b
(*.f64 2 (atan.f64 1))
Compiler

Compiled 156 to 129 computations (17.3% saved)

localize41.0ms (0.6%)

Local error

Found 3 expressions with local error:

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

Compiled 60 to 38 computations (36.7% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite162.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
1022×*-commutative
978×associate-*r/
770×associate-*l/
624×swap-sqr
454×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01266
125666
2321666
Stop Event
1×node limit
Counts
2 → 70
Calls
Call 1
Inputs
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))
(atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (*.f64 1 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (*.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (neg.f64 x)) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))) (-.f64 1 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 x x)) (/.f64 (+.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 (+.f64 1 (fma.f64 x x x)) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 (pow.f64 x 6))) (*.f64 (+.f64 1 x) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 (pow.f64 x 4))) (*.f64 (+.f64 1 x) (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 (pow.f64 x 3)))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (+.f64 1 (pow.f64 (neg.f64 x) 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (+.f64 (*.f64 x x) -1)) (+.f64 (neg.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (neg.f64 (-.f64 1 (pow.f64 x 3)))) (+.f64 -1 (neg.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 4)) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (*.f64 (+.f64 1 x) (+.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (*.f64 (+.f64 1 x) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 x) 3)) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x x) -1) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (+.f64 (neg.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 x 3))) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (+.f64 -1 (neg.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) 1) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 (pow.f64 x 3))) 1) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) 1) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 (pow.f64 x 3))) 1) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (fma.f64 x x x)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 x x x))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/4) (sqrt.f64 (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1) (pow.f64 (-.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) 3) (pow.f64 (-.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (neg.f64 x)) (*.f64 -1/2 (log1p.f64 (neg.f64 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))) (sqrt.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))))))))

simplify162.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1350×times-frac
1152×associate-/r*
848×*-commutative
786×unswap-sqr
668×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02394542
16424078
225534070
Stop Event
1×node limit
Counts
94 → 148
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (/.f64 (sqrt.f64 -1) x) (*.f64 -1 (sqrt.f64 -1)))
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 -1))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 -1)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(+.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (neg.f64 x)))
(+.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (*.f64 1 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (neg.f64 x))))
(+.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (*.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (neg.f64 x)) 1))
(+.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (neg.f64 x)) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))) (-.f64 1 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (neg.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))) 1)
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (+.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))
(/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (/.f64 1 (-.f64 1 x)))
(/.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 (+.f64 1 (fma.f64 x x x)) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (+.f64 1 x))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 (pow.f64 x 6))) (*.f64 (+.f64 1 x) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 (pow.f64 x 4))) (*.f64 (+.f64 1 x) (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (*.f64 1 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))) (+.f64 1 x))
(/.f64 (*.f64 1 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 (pow.f64 x 3)))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (+.f64 1 (pow.f64 (neg.f64 x) 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (+.f64 (*.f64 x x) -1)) (+.f64 (neg.f64 x) -1))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (neg.f64 (-.f64 1 (pow.f64 x 3)))) (+.f64 -1 (neg.f64 (fma.f64 x x x))))
(/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (+.f64 1 x)))
(/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 4)) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (*.f64 (+.f64 1 x) (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (*.f64 (+.f64 1 x) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 x) 3)) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (+.f64 1 (fma.f64 x x x)))
(/.f64 (*.f64 (+.f64 (*.f64 x x) -1) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (+.f64 (neg.f64 x) -1))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 x 3))) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (+.f64 -1 (neg.f64 (fma.f64 x x x))))
(/.f64 (*.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) 1) (+.f64 1 x))
(/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 (pow.f64 x 3))) 1) (+.f64 1 (fma.f64 x x x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) 1) (+.f64 1 x))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (+.f64 1 x)))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 (pow.f64 x 3))) 1) (+.f64 1 (fma.f64 x x x)))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (fma.f64 x x x)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 x x x))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(pow.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)) 1)
(pow.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/4) (sqrt.f64 (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1) (pow.f64 (-.f64 1 x) 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))))
(exp.f64 (+.f64 (log1p.f64 (neg.f64 x)) (*.f64 -1/2 (log1p.f64 (neg.f64 (*.f64 x x))))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))))) 1)
(*.f64 1 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))))
(*.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))) 1)
(*.f64 (sqrt.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))) (sqrt.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))))
(*.f64 (cbrt.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))))
(pow.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))) 2))
(log.f64 (exp.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))))
(exp.f64 (log.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.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 1/2 (*.f64 x x)) x))
(+.f64 1 (*.f64 x (+.f64 (*.f64 x 1/2) -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 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x))) x))
(+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(+.f64 (/.f64 (sqrt.f64 -1) x) (*.f64 -1 (sqrt.f64 -1)))
(+.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 (sqrt.f64 -1) x))
(-.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1))
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 -1))))
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))))
(+.f64 (/.f64 (sqrt.f64 -1) x) (-.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (sqrt.f64 -1)))
(+.f64 (-.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 -1)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))
(+.f64 (/.f64 (sqrt.f64 -1) x) (-.f64 (+.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (-.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (/.f64 (sqrt.f64 -1) x) (-.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (-.f64 (sqrt.f64 -1) (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (pow.f64 x 3)))))
(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) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (sqrt.f64 -1) (-.f64 (/.f64 (neg.f64 (sqrt.f64 -1)) x) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))))
(+.f64 (-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)) (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 (neg.f64 (sqrt.f64 -1)) x))) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))))
(+.f64 (sqrt.f64 -1) (+.f64 (-.f64 (/.f64 (/.f64 1/2 (pow.f64 x 3)) (sqrt.f64 -1)) (/.f64 (sqrt.f64 -1) x)) (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))))
(+.f64 (sqrt.f64 -1) (+.f64 (-.f64 (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) x)) (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (fabs.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (fabs.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (fabs.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (fabs.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (fabs.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (fabs.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (fabs.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (fabs.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (fabs.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (fabs.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (fabs.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (fabs.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (-.f64 1 x)))
(+.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (neg.f64 x)))
(fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (neg.f64 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(+.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (*.f64 1 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (neg.f64 x))))
(fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (neg.f64 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(+.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (*.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (neg.f64 x)) 1))
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(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (fma.f64 x x x)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 x x x))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))))
(pow.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)) 1)
(fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (neg.f64 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(pow.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/4) (sqrt.f64 (-.f64 1 x))) 2)
(pow.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (-.f64 1 (*.f64 x x)) -1/4)) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))) 3)
(fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (neg.f64 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)) 3) 1/3)
(fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (neg.f64 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1) (pow.f64 (-.f64 1 x) 2)))
(sqrt.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 x) 2)))
(sqrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 1 (*.f64 x x))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (-.f64 1 x)))
(fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (neg.f64 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))))
(fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (neg.f64 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)) 3))
(fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (neg.f64 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) 3) (pow.f64 (-.f64 1 x) 3)))
(fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (neg.f64 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))))
(fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (neg.f64 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(exp.f64 (+.f64 (log1p.f64 (neg.f64 x)) (*.f64 -1/2 (log1p.f64 (neg.f64 (*.f64 x x))))))
(exp.f64 (+.f64 (log1p.f64 (neg.f64 x)) (*.f64 -1/2 (log1p.f64 (*.f64 x (neg.f64 x))))))
(exp.f64 (fma.f64 -1/2 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))))
(fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (neg.f64 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))))) 1)
(atan.f64 (*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))
(*.f64 1 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))))
(atan.f64 (*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))
(*.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))) 1)
(atan.f64 (*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))
(*.f64 (sqrt.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))) (sqrt.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))))
(atan.f64 (*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))
(*.f64 (cbrt.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))) 2))
(atan.f64 (*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))))
(atan.f64 (*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))
(pow.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))) 1)
(atan.f64 (*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))
(pow.f64 (sqrt.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))) 2)
(atan.f64 (*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))
(pow.f64 (cbrt.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))) 3)
(atan.f64 (*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))
(pow.f64 (pow.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))) 3) 1/3)
(atan.f64 (*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))
(sqrt.f64 (pow.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))) 2))
(sqrt.f64 (pow.f64 (atan.f64 (*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))) 2))
(fabs.f64 (atan.f64 (*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))))
(log.f64 (exp.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))))
(atan.f64 (*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))))))
(atan.f64 (*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))
(cbrt.f64 (pow.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))) 3))
(atan.f64 (*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))
(expm1.f64 (log1p.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))))
(atan.f64 (*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))
(exp.f64 (log.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))))
(atan.f64 (*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))
(log1p.f64 (expm1.f64 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x)))))
(atan.f64 (*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))

localize9.0ms (0.1%)

Compiler

Compiled 9 to 9 computations (0% saved)

localize20.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 26 to 18 computations (30.8% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite104.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
1768×add-sqr-sqrt
1748×*-un-lft-identity
1620×add-cube-cbrt
1600×add-cbrt-cube
188×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01040
119840
2220540
Stop Event
1×node limit
Counts
2 → 31
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 (*.f64 x (*.f64 1/2 x))))
(atan.f64 (*.f64 x (*.f64 1/2 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (atan.f64 (*.f64 x (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (*.f64 x (*.f64 x 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (*.f64 x (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))) (sqrt.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))) 2) (cbrt.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (*.f64 x (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (*.f64 x (*.f64 x 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (*.f64 x (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (*.f64 x (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (*.f64 x (*.f64 x 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))))))))

simplify97.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1218×associate-+r+
1084×associate-+l+
954×fma-def
890×*-commutative
596×unswap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721085
11461085
26681085
326941085
474301085
Stop Event
1×node limit
Counts
55 → 35
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(atan.f64 (*.f64 1/2 (pow.f64 x 2)))
(atan.f64 (*.f64 1/2 (pow.f64 x 2)))
(atan.f64 (*.f64 1/2 (pow.f64 x 2)))
(atan.f64 (*.f64 1/2 (pow.f64 x 2)))
(atan.f64 (*.f64 1/2 (pow.f64 x 2)))
(atan.f64 (*.f64 1/2 (pow.f64 x 2)))
(atan.f64 (*.f64 1/2 (pow.f64 x 2)))
(atan.f64 (*.f64 1/2 (pow.f64 x 2)))
(atan.f64 (*.f64 1/2 (pow.f64 x 2)))
(atan.f64 (*.f64 1/2 (pow.f64 x 2)))
(atan.f64 (*.f64 1/2 (pow.f64 x 2)))
(atan.f64 (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2)))))) 1)
(pow.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2)))) 1)
(pow.f64 (sqrt.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2))))) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2))))) 3)
(pow.f64 (pow.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2)))) 2))
(log.f64 (pow.f64 (exp.f64 2) (atan.f64 (*.f64 x (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2)))))))
(cbrt.f64 (pow.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2)))) 3))
(expm1.f64 (log1p.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2))))))
(exp.f64 (log.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2))))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2))))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (*.f64 x (*.f64 x 1/2))))) 1)
(*.f64 (atan.f64 (*.f64 x (*.f64 x 1/2))) 1)
(*.f64 1 (atan.f64 (*.f64 x (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))) (sqrt.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))))
(*.f64 (cbrt.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))) 2) (cbrt.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))))
(pow.f64 (atan.f64 (*.f64 x (*.f64 x 1/2))) 1)
(pow.f64 (sqrt.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))) 2)
(pow.f64 (cbrt.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (atan.f64 (*.f64 x (*.f64 x 1/2))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (*.f64 x (*.f64 x 1/2))) 2))
(log.f64 (exp.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (*.f64 x (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (atan.f64 (*.f64 x (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))))
(exp.f64 (log.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))))
Outputs
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 2 (atan.f64 (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(atan.f64 (*.f64 1/2 (pow.f64 x 2)))
(atan.f64 (*.f64 1/2 (*.f64 x x)))
(atan.f64 (*.f64 1/2 (pow.f64 x 2)))
(atan.f64 (*.f64 1/2 (*.f64 x x)))
(atan.f64 (*.f64 1/2 (pow.f64 x 2)))
(atan.f64 (*.f64 1/2 (*.f64 x x)))
(atan.f64 (*.f64 1/2 (pow.f64 x 2)))
(atan.f64 (*.f64 1/2 (*.f64 x x)))
(atan.f64 (*.f64 1/2 (pow.f64 x 2)))
(atan.f64 (*.f64 1/2 (*.f64 x x)))
(atan.f64 (*.f64 1/2 (pow.f64 x 2)))
(atan.f64 (*.f64 1/2 (*.f64 x x)))
(atan.f64 (*.f64 1/2 (pow.f64 x 2)))
(atan.f64 (*.f64 1/2 (*.f64 x x)))
(atan.f64 (*.f64 1/2 (pow.f64 x 2)))
(atan.f64 (*.f64 1/2 (*.f64 x x)))
(atan.f64 (*.f64 1/2 (pow.f64 x 2)))
(atan.f64 (*.f64 1/2 (*.f64 x x)))
(atan.f64 (*.f64 1/2 (pow.f64 x 2)))
(atan.f64 (*.f64 1/2 (*.f64 x x)))
(atan.f64 (*.f64 1/2 (pow.f64 x 2)))
(atan.f64 (*.f64 1/2 (*.f64 x x)))
(atan.f64 (*.f64 1/2 (pow.f64 x 2)))
(atan.f64 (*.f64 1/2 (*.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2)))))) 1)
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(pow.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2)))) 1)
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(pow.f64 (sqrt.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2))))) 2)
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(pow.f64 (cbrt.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2))))) 3)
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(pow.f64 (pow.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2)))) 3) 1/3)
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(sqrt.f64 (pow.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2)))) 2))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(log.f64 (pow.f64 (exp.f64 2) (atan.f64 (*.f64 x (*.f64 x 1/2)))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2)))))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(cbrt.f64 (pow.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2)))) 3))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(expm1.f64 (log1p.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2))))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2))))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2))))) 1))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 2 (atan.f64 (*.f64 x (*.f64 x 1/2))))))
(*.f64 2 (atan.f64 (*.f64 1/2 (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (*.f64 x (*.f64 x 1/2))))) 1)
(atan.f64 (*.f64 1/2 (*.f64 x x)))
(*.f64 (atan.f64 (*.f64 x (*.f64 x 1/2))) 1)
(atan.f64 (*.f64 1/2 (*.f64 x x)))
(*.f64 1 (atan.f64 (*.f64 x (*.f64 x 1/2))))
(atan.f64 (*.f64 1/2 (*.f64 x x)))
(*.f64 (sqrt.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))) (sqrt.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))))
(atan.f64 (*.f64 1/2 (*.f64 x x)))
(*.f64 (cbrt.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))) 2))
(atan.f64 (*.f64 1/2 (*.f64 x x)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))) 2) (cbrt.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))))
(atan.f64 (*.f64 1/2 (*.f64 x x)))
(pow.f64 (atan.f64 (*.f64 x (*.f64 x 1/2))) 1)
(atan.f64 (*.f64 1/2 (*.f64 x x)))
(pow.f64 (sqrt.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))) 2)
(atan.f64 (*.f64 1/2 (*.f64 x x)))
(pow.f64 (cbrt.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))) 3)
(atan.f64 (*.f64 1/2 (*.f64 x x)))
(pow.f64 (pow.f64 (atan.f64 (*.f64 x (*.f64 x 1/2))) 3) 1/3)
(atan.f64 (*.f64 1/2 (*.f64 x x)))
(sqrt.f64 (pow.f64 (atan.f64 (*.f64 x (*.f64 x 1/2))) 2))
(atan.f64 (*.f64 1/2 (*.f64 x x)))
(log.f64 (exp.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))))
(atan.f64 (*.f64 1/2 (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (*.f64 x (*.f64 x 1/2))))))
(atan.f64 (*.f64 1/2 (*.f64 x x)))
(cbrt.f64 (pow.f64 (atan.f64 (*.f64 x (*.f64 x 1/2))) 3))
(atan.f64 (*.f64 1/2 (*.f64 x x)))
(expm1.f64 (log1p.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))))
(atan.f64 (*.f64 1/2 (*.f64 x x)))
(exp.f64 (log.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))))
(atan.f64 (*.f64 1/2 (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))) 1))
(atan.f64 (*.f64 1/2 (*.f64 x x)))
(log1p.f64 (expm1.f64 (atan.f64 (*.f64 x (*.f64 x 1/2)))))
(atan.f64 (*.f64 1/2 (*.f64 x x)))

localize36.0ms (0.5%)

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)

series1.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite138.0ms (1.9%)

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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 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simplify177.0ms (2.4%)

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))
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(*.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))))
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(/.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))
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(/.f64 (-.f64 1 (*.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))) (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (pow.f64 (atan.f64 (-.f64 1 x)) 2))) (*.f64 (-.f64 1 (atan.f64 (-.f64 1 x))) (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 3)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))) (+.f64 1 (*.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 3)) (*.f64 (-.f64 1 (atan.f64 (-.f64 1 x))) (+.f64 1 (*.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))) (neg.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1)) (+.f64 (atan.f64 (-.f64 1 x)) -1))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)))) (neg.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)))) (sqrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)))) (cbrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) 1) (+.f64 (atan.f64 (-.f64 1 x)) -1))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))) 1) (neg.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))) 1) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))) (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2)) (cbrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (pow.f64 (atan.f64 (-.f64 1 x)) 2))) (/.f64 1 (-.f64 1 (atan.f64 (-.f64 1 x))))) (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 3)) (/.f64 1 (-.f64 1 (atan.f64 (-.f64 1 x))))) (+.f64 1 (*.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))) (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))) (+.f64 1 (*.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) 1) (-.f64 1 (atan.f64 (-.f64 1 x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (sqrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x))))) (sqrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))) (cbrt.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) 1) (+.f64 (atan.f64 (-.f64 1 x)) -1))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) (sqrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1))) (sqrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1)))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) (*.f64 (cbrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1)) (cbrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1)))) (cbrt.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1)))
(/.f64 (/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) (+.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x))))) (-.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 1))
(pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
(pow.f64 (hypot.f64 1 (sqrt.f64 (atan.f64 (-.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (atan.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3))
(expm1.f64 (log.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2)))
(exp.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))
(fma.f64 1 (atan.f64 (-.f64 1 x)) 1)
(fma.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))) 1)
Outputs
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) -1))
(atan.f64 (-.f64 1 x))
(+.f64 (atan.f64 (-.f64 1 x)) 0)
(atan.f64 (-.f64 1 x))
(+.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1)
(atan.f64 (-.f64 1 x))
(+.f64 0 (atan.f64 (-.f64 1 x)))
(atan.f64 (-.f64 1 x))
(+.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 1)
(atan.f64 (-.f64 1 x))
(+.f64 -1 (+.f64 1 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(*.f64 1 (atan.f64 (-.f64 1 x)))
(atan.f64 (-.f64 1 x))
(*.f64 (atan.f64 (-.f64 1 x)) 1)
(atan.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(*.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))
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(+.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)))

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 60 to 38 computations (36.7% saved)

series2.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite90.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
1798×associate-*r/
1490×associate-*l/
1160×associate-/r*
284×associate-+l+
266×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01298
125986
2349686
Stop Event
1×node limit
Counts
4 → 133
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) -1/2)
(/.f64 (-.f64 1 x) (+.f64 1 (*.f64 (*.f64 x x) -1/2)))
(+.f64 1 (*.f64 (*.f64 x x) -1/2))
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 (*.f64 x x) -1/2))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 (*.f64 x x) -1/2 1)) (neg.f64 (/.f64 x (fma.f64 (*.f64 x x) -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 x (fma.f64 (*.f64 x x) -1/2 1))) (/.f64 1 (fma.f64 (*.f64 x x) -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (fma.f64 (*.f64 x x) -1/2 1)) (/.f64 x (fma.f64 (*.f64 x x) -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 (fma.f64 (*.f64 x x) -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 (*.f64 x x) -1/2 1))))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (*.f64 x x) -1/2 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) -1/2 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 (*.f64 x x) -1/2))) (/.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 1 (*.f64 (*.f64 x x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (*.f64 (*.f64 x x) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 x x) -1/2 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) -1/2 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 1)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 1)) 2) (cbrt.f64 (fma.f64 (*.f64 x x) 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simplify99.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1562×distribute-lft-in
1524×associate-*r/
1024×associate-*l/
522×associate-/l/
520×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03335863
18285447
234585411
Stop Event
1×node limit
Counts
181 → 218
Calls
Call 1
Inputs
(*.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))
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 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (*.f64 (*.f64 x x) -1/2) 0)
(+.f64 1 (-.f64 (*.f64 (*.f64 x x) -1/2) 1))
(-.f64 (fma.f64 (*.f64 x x) -1/2 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) -1/2 1))) 2)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 (*.f64 x x) -1/2))) (+.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 1 (*.f64 (*.f64 x x) -1/2))) 1))
(pow.f64 (*.f64 (*.f64 x x) -1/2) 1)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) -1/2)) 3)
(pow.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)) 1/3)
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) -1/2))))
(cbrt.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) -1/2)))
(exp.f64 (log.f64 (*.f64 (*.f64 x x) -1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) -1/2)) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) -1/2)))
(+.f64 (/.f64 1 (fma.f64 (*.f64 x x) -1/2 1)) (neg.f64 (/.f64 x (fma.f64 (*.f64 x x) -1/2 1))))
(+.f64 (neg.f64 (/.f64 x (fma.f64 (*.f64 x x) -1/2 1))) (/.f64 1 (fma.f64 (*.f64 x x) -1/2 1)))
(-.f64 (/.f64 1 (fma.f64 (*.f64 x x) -1/2 1)) (/.f64 x (fma.f64 (*.f64 x x) -1/2 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)))) 1)
(*.f64 1 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)))
(*.f64 (-.f64 1 x) (/.f64 1 (fma.f64 (*.f64 x x) -1/2 1)))
(*.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)) 1)
(*.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 (*.f64 x x) -1/2 1))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1))) (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 (*.f64 x x) -1/2 1))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1))) 2) (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1))))
(*.f64 (/.f64 1 (fma.f64 (*.f64 x x) -1/2 1)) (-.f64 1 x))
(*.f64 (+.f64 -1 x) (/.f64 -1 (fma.f64 (*.f64 x x) -1/2 1)))
(*.f64 (/.f64 1 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (/.f64 (-.f64 1 x) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 1)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 1))))
(*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 4)))) (-.f64 1 (*.f64 (*.f64 x x) -1/2)))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)))) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 1 (*.f64 (*.f64 x x) -1/2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 (*.f64 x x) -1/2 1)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 1)) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) (fma.f64 (*.f64 x x) -1/2 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (/.f64 (cbrt.f64 (-.f64 1 x)) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 1)) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1))))
(pow.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) -1/2 1) (-.f64 1 x)) -1)
(neg.f64 (/.f64 (-.f64 1 x) (-.f64 -1 (*.f64 (*.f64 x x) -1/2))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1))))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (*.f64 (*.f64 x x) -1/2))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (*.f64 (*.f64 x x) -1/2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1))))
(-.f64 (fma.f64 (*.f64 x x) -1/2 1) 0)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) -1/2 1))) 1)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 (*.f64 x x) -1/2))) (/.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 1 (*.f64 (*.f64 x x) -1/2))))
(-.f64 (+.f64 2 (*.f64 (*.f64 x x) -1/2)) 1)
(*.f64 1 (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 (fma.f64 (*.f64 x x) -1/2 1) 1)
(*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))))
(*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 1)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 1)) 2) (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 1)))
(*.f64 (-.f64 1 (*.f64 1/4 (pow.f64 x 4))) (/.f64 1 (-.f64 1 (*.f64 (*.f64 x x) -1/2))))
(*.f64 (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))) (/.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 1 (*.f64 (*.f64 x x) -1/2)))))
(/.f64 1 (/.f64 1 (fma.f64 (*.f64 x x) -1/2 1)))
(/.f64 (-.f64 1 (*.f64 1/4 (pow.f64 x 4))) (-.f64 1 (*.f64 (*.f64 x x) -1/2)))
(/.f64 (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 1 (*.f64 (*.f64 x x) -1/2))))
(/.f64 (neg.f64 (-.f64 1 (*.f64 1/4 (pow.f64 x 4)))) (neg.f64 (-.f64 1 (*.f64 (*.f64 x x) -1/2))))
(/.f64 (neg.f64 (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)))) (neg.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 1 (*.f64 (*.f64 x x) -1/2)))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) 1) (-.f64 (*.f64 (*.f64 x x) -1/2) 1))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (*.f64 1/4 (pow.f64 x 4))))) (neg.f64 (-.f64 1 (*.f64 (*.f64 x x) -1/2))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))))) (neg.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 1 (*.f64 (*.f64 x x) -1/2)))))
(/.f64 (*.f64 1 (-.f64 (*.f64 1/4 (pow.f64 x 4)) 1)) (-.f64 (*.f64 (*.f64 x x) -1/2) 1))
(/.f64 (*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (sqrt.f64 (-.f64 1 (*.f64 1/4 (pow.f64 x 4))))) (sqrt.f64 (-.f64 1 (*.f64 (*.f64 x x) -1/2))))
(/.f64 (*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (sqrt.f64 (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 1 (*.f64 (*.f64 x x) -1/2)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 1)) 2) (cbrt.f64 (-.f64 1 (*.f64 1/4 (pow.f64 x 4))))) (cbrt.f64 (-.f64 1 (*.f64 (*.f64 x x) -1/2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 1)) 2) (cbrt.f64 (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 1 (*.f64 (*.f64 x x) -1/2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 1/4 (pow.f64 x 4))) 1) (-.f64 1 (*.f64 (*.f64 x x) -1/2)))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))) 1) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 1 (*.f64 (*.f64 x x) -1/2))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (*.f64 1/4 (pow.f64 x 4)))) 1) (neg.f64 (-.f64 1 (*.f64 (*.f64 x x) -1/2))))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)))) 1) (neg.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 1 (*.f64 (*.f64 x x) -1/2)))))
(/.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) 1) 1) (-.f64 (*.f64 (*.f64 x x) -1/2) 1))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 1/4 (pow.f64 x 4)))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (sqrt.f64 (-.f64 1 (*.f64 (*.f64 x x) -1/2))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 1 (*.f64 (*.f64 x x) -1/2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (*.f64 1/4 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 1)) 2)) (cbrt.f64 (-.f64 1 (*.f64 (*.f64 x x) -1/2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 1)) 2)) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 1 (*.f64 (*.f64 x x) -1/2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 1/4 (pow.f64 x 4)))) (/.f64 1 (-.f64 1 (*.f64 (*.f64 x x) -1/2)))) (+.f64 1 (*.f64 1/4 (pow.f64 x 4))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 1/4 (pow.f64 x 4)) 3)) (/.f64 1 (-.f64 1 (*.f64 (*.f64 x x) -1/2)))) (+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 1/4 (pow.f64 x 4))))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)) (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)))) (/.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 1 (*.f64 (*.f64 x x) -1/2))))) (-.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 1 (*.f64 (*.f64 x x) -1/2))))) (+.f64 1 (-.f64 (*.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)) (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))) (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)))))
(/.f64 (/.f64 (-.f64 1 (*.f64 1/4 (pow.f64 x 4))) 1) (-.f64 1 (*.f64 (*.f64 x x) -1/2)))
(/.f64 (/.f64 (-.f64 1 (*.f64 1/4 (pow.f64 x 4))) (sqrt.f64 (-.f64 1 (*.f64 (*.f64 x x) -1/2)))) (sqrt.f64 (-.f64 1 (*.f64 (*.f64 x x) -1/2))))
(/.f64 (/.f64 (-.f64 1 (*.f64 1/4 (pow.f64 x 4))) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (*.f64 x x) -1/2))) (cbrt.f64 (-.f64 1 (*.f64 (*.f64 x x) -1/2))))) (cbrt.f64 (-.f64 1 (*.f64 (*.f64 x x) -1/2))))
(/.f64 (/.f64 (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))) 1) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 1 (*.f64 (*.f64 x x) -1/2))))
(/.f64 (/.f64 (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 1 (*.f64 (*.f64 x x) -1/2))))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 1 (*.f64 (*.f64 x x) -1/2)))))
(/.f64 (/.f64 (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 1 (*.f64 (*.f64 x x) -1/2)))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 1 (*.f64 (*.f64 x x) -1/2)))))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 1 (*.f64 (*.f64 x x) -1/2)))))
(pow.f64 (fma.f64 (*.f64 x x) -1/2 1) 1)
(pow.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 1)) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/2 1) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/2 1) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 x x) -1/2 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x x) -1/2 1))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/2 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) -1/2 1)))
(exp.f64 (log1p.f64 (*.f64 (*.f64 x x) -1/2)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 x x) -1/2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) -1/2 1)))
(fma.f64 x (*.f64 x -1/2) 1)
(fma.f64 (*.f64 x x) -1/2 1)
(fma.f64 -1/2 (*.f64 x x) 1)
(fma.f64 1 (*.f64 (*.f64 x x) -1/2) 1)
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) 1)
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 (*.f64 x x) -1/2)) 1)
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1))))) 1)
(*.f64 1 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1))))
(*.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1))) 1)
(*.f64 (sqrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)))) (sqrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)))))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)))) 2) (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)))))
(pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1))) 1)
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)))) 2)
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)))) 3)
(pow.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1))) 2))
(log.f64 (exp.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1))))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)))))
(exp.f64 (log.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)))) 1))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)))))
Outputs
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 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) (fma.f64 -1/2 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(-.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x))
(+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 4 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x)) (/.f64 4 (pow.f64 x 3)))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 4 (pow.f64 x 3))) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 4 (pow.f64 x 4))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 4 (pow.f64 x 4)))))
(+.f64 (/.f64 2 x) (+.f64 (-.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 4 (pow.f64 x 4))) (/.f64 -2 (*.f64 x x))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(-.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x))
(+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 4 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x)) (/.f64 4 (pow.f64 x 3)))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 4 (pow.f64 x 3))) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 4 (pow.f64 x 4))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 4 (pow.f64 x 4)))))
(+.f64 (/.f64 2 x) (+.f64 (-.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 4 (pow.f64 x 4))) (/.f64 -2 (*.f64 x x))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (*.f64 x x) 1)
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)))
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)))
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)))
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)))
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)))
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)))
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)))
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)))
(+.f64 (*.f64 (*.f64 x x) -1/2) 0)
(*.f64 -1/2 (*.f64 x x))
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(*.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1))) 1)
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)))) (sqrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)))) 2))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)))) 2) (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)))
(pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1))) 1)
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)))) 2)
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)))) 3)
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1))) 3) 1/3)
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1))) 2))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1))) 2))
(fabs.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1))))
(log.f64 (exp.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1))))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1))) 3))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)))
(exp.f64 (log.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)))
(exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)))) 1))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 1)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/2 (*.f64 x x) 1)))

eval837.0ms (11.4%)

Compiler

Compiled 19640 to 15920 computations (18.9% saved)

prune398.0ms (5.4%)

Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New7890789
Fresh000
Picked011
Done088
Total7899798
Error
0b
Counts
798 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
✓1.0b
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
✓0.7b
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 (*.f64 x x) -1/2)))))
✓0.0b
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
✓1.0b
(*.f64 2 (atan.f64 (-.f64 1 x)))
✓0.8b
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))))
✓0.0b
(*.f64 2 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))))
✓61.3b
(*.f64 2 (atan.f64 (*.f64 x (*.f64 1/2 x))))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
✓1.4b
(*.f64 2 (atan.f64 1))
Compiler

Compiled 101 to 83 computations (17.8% saved)

regimes51.0ms (0.7%)

Counts
11 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (*.f64 x (*.f64 1/2 x))))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))))
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 (*.f64 x x) -1/2)))))
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 2 (atan.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))))
(*.f64 2 (atan.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
Outputs
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
Calls

5 calls:

19.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
12.0ms
x
5.0ms
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
5.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
4.0ms
(/.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 163 to 127 computations (22.1% saved)

regimes64.0ms (0.9%)

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

5 calls:

35.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))
12.0ms
x
4.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
4.0ms
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
4.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.0b1(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
0.0b1(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0b1(/.f64 (-.f64 1 x) (+.f64 1 x))
Compiler

Compiled 123 to 97 computations (21.1% saved)

regimes13.0ms (0.2%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (*.f64 x (*.f64 1/2 x))))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))))
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 (*.f64 x x) -1/2)))))
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))))
Outputs
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 (*.f64 x x) -1/2)))))
Calls

1 calls:

9.0ms
x
Results
ErrorSegmentsBranch
0.7b1x
Compiler

Compiled 73 to 57 computations (21.9% saved)

regimes10.0ms (0.1%)

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

8.0ms
x
Results
ErrorSegmentsBranch
0.8b1x
Compiler

Compiled 43 to 35 computations (18.6% saved)

regimes37.0ms (0.5%)

Accuracy

Total -60.3b remaining (-6322.8%)

Threshold costs -60.3b (-6322.8%)

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

1 calls:

35.0ms
x
Results
ErrorSegmentsBranch
1.0b1x
Compiler

Compiled 31 to 26 computations (16.1% saved)

simplify14.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
24×*-commutative
18×+-commutative
8×sub-neg
4×neg-mul-1
4×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035176
156176
266176
370176
472176
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 (*.f64 x x) -1/2)))))
(*.f64 2 (atan.f64 (+.f64 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 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 (*.f64 x x) -1/2)))))
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 1))
Compiler

Compiled 66 to 54 computations (18.2% saved)

soundness130.0ms (1.8%)

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
Compiler

Compiled 52 to 39 computations (25% saved)

end82.0ms (1.1%)

Compiler

Compiled 61 to 48 computations (21.3% saved)

Profiling

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