Details

Time bar (total: 6.6s)

analyze5.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%75%0%0%25%0%3
40%25%37.5%0%0%37.5%0%4
66.7%37.5%18.7%0%0%43.7%0%5
82.4%43.7%9.4%0%0%46.9%0%6
90.9%46.9%4.7%0%0%48.4%0%7
95.4%48.4%2.3%0%0%49.2%0%8
97.7%49.2%1.2%0%0%49.6%0%9
98.8%49.6%0.6%0%0%49.8%0%10
99.4%49.8%0.3%0%0%49.9%0%11
99.7%49.9%0.1%0%0%49.9%0%12
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.0s (15.6%)

Results
1.0s8256×body256valid
1.0ms11×body256invalid
Bogosity

preprocess70.0ms (1.1%)

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)

simplify66.0ms (1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01233
12133
22733
33833
46033
58733
612833
721133
839333
964933
1093733
11124533
12177333
13220533
14270233
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))

eval0.0ms (0%)

Compiler

Compiled 12 to 10 computations (16.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Compiled 12 to 10 computations (16.7% saved)

localize18.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 45 to 34 computations (24.4% saved)

series2.0ms (0%)

Counts
3 → 28
Calls

9 calls:

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

rewrite118.0ms (1.8%)

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))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
Outputs
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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 expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(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)))))))))

simplify97.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1548×associate-*r/
1304×associate-*l/
636×+-commutative
508×associate-+r+
430×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04177007
111026459
241936249
Stop Event
1×node limit
Counts
179 → 271
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
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)))))))
(+.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 (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))))))
(-.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)))))
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 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 -1 (/.f64 -2 (*.f64 x x)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (/.f64 2 x) -1)
(+.f64 -1 (/.f64 2 x))
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(+.f64 -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 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 -1 (/.f64 -2 (*.f64 x x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
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) 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 (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 (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 (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 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))))
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(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 1 1/2))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.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)) (sqrt.f64 (+.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (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 (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 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(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 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 1 (+.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 (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 (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 (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 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (-.f64 (*.f64 x x) (-.f64 x 1))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 (fma.f64 x x (neg.f64 x)) 1))) (sqrt.f64 (+.f64 1 (pow.f64 x 3))))
(*.f64 (sqrt.f64 (fma.f64 x x (-.f64 1 x))) (/.f64 (sqrt.f64 (-.f64 1 x)) (hypot.f64 1 (pow.f64 x 3/2))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) (hypot.f64 1 (pow.f64 x 3/2)))
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1))))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (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 (/.f64 (cbrt.f64 (-.f64 1 x)) (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 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 x))) (/.f64 (fabs.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x))))
(/.f64 (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 x))) (sqrt.f64 (+.f64 1 (fma.f64 x x 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 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.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 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (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)))

eval101.0ms (1.5%)

Compiler

Compiled 5581 to 4317 computations (22.6% saved)

prune41.0ms (0.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2656271
Fresh000
Picked011
Done000
Total2657272
Error
0b
Counts
272 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
1.0b
(*.f64 2 (log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
▶0.0b
(*.f64 2 (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)))
▶0.0b
(*.f64 2 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x))))
▶0.2b
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 (*.f64 1/2 x) x)))))
▶0.4b
(*.f64 2 (atan.f64 (-.f64 1 x)))
▶0.2b
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Compiler

Compiled 172 to 140 computations (18.6% saved)

localize20.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 55 to 33 computations (40% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite78.0ms (1.2%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01179
123579
2316567
Stop Event
1×node limit
Counts
3 → 124
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
Outputs
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simplify94.0ms (1.4%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
03776498
19816210
245356178
Stop Event
1×node limit
Counts
160 → 242
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (/.f64 (sqrt.f64 -1) x) (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (/.f64 (sqrt.f64 -1) x) (*.f64 -1 (sqrt.f64 -1)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1)))) (pow.f64 x 3))) (*.f64 -1 (sqrt.f64 -1))))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(atan.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(atan.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(atan.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(atan.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 (+.f64 1 x))))
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 (+.f64 1 x))))
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 (+.f64 1 x))))
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 (+.f64 1 x))))
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 (-.f64 1 (*.f64 -1 x)))))
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 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (exp.f64 (neg.f64 (log1p.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (+.f64 1 x)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 1 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (-.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 (*.f64 x x))))
(*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (+.f64 1 (-.f64 (*.f64 x x) x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 (pow.f64 x 3))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 -1 (+.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (+.f64 1 x)) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (+.f64 1 x)) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 1))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 1 x)) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 1 x)) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (exp.f64 (neg.f64 (log1p.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (+.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 (-.f64 (*.f64 x x) x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))
(*.f64 (/.f64 -1 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (+.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) 1) (exp.f64 (neg.f64 (log1p.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 (pow.f64 x 4))) (*.f64 (-.f64 1 x) (+.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 (pow.f64 x 6))) (*.f64 (-.f64 1 x) (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (neg.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 (*.f64 x x) 1)) (-.f64 x 1))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (+.f64 1 (-.f64 (*.f64 x x) x)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (-.f64 1 (pow.f64 x 4))) (*.f64 (-.f64 1 x) (+.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (-.f64 1 (pow.f64 x 6))) (*.f64 (-.f64 1 x) (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (neg.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (neg.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (-.f64 (*.f64 x x) 1)) (-.f64 x 1))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) -1)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 -1 x)))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (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 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) 1/2))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (pow.f64 x 4)))) (cbrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) 1) (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) 1) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 6))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (+.f64 1 (*.f64 x x))))
(pow.f64 (-.f64 1 (*.f64 x x)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
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 -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 1/2 (*.f64 x x))) (-.f64 1 x))
(+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (/.f64 (neg.f64 (sqrt.f64 -1)) x))
(-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x))
(+.f64 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))))
(+.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))) (/.f64 (neg.f64 (sqrt.f64 -1)) x)))
(+.f64 (sqrt.f64 -1) (+.f64 (-.f64 (/.f64 (/.f64 1/2 (*.f64 x x)) (sqrt.f64 -1)) (/.f64 (sqrt.f64 -1) x)) (/.f64 (sqrt.f64 -1) (*.f64 x x))))
(-.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (-.f64 (*.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)))
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(*.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 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (cbrt.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 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (fma.f64 x x (+.f64 1 (pow.f64 x 4)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (fma.f64 x x (+.f64 1 (pow.f64 x 4)))))
(/.f64 (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))
(/.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)))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (pow.f64 x 4)))) (cbrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (-.f64 1 (pow.f64 x 4)))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (-.f64 1 (pow.f64 x 4))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (fma.f64 x x (+.f64 1 (pow.f64 x 4)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) 1) (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (fma.f64 x x (+.f64 1 (pow.f64 x 4)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) 1) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 6))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (cbrt.f64 (fma.f64 x x (+.f64 1 (pow.f64 x 4)))) (cbrt.f64 (-.f64 1 (pow.f64 x 6)))))
(*.f64 (/.f64 (cbrt.f64 (-.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)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (-.f64 1 (pow.f64 x 4)))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (-.f64 1 (pow.f64 x 4))))
(pow.f64 (-.f64 1 (*.f64 x x)) 1/2)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 2)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) 1/2))
(pow.f64 (exp.f64 (log1p.f64 (neg.f64 (*.f64 x x)))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (*.f64 x (neg.f64 x)))))
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 (*.f64 x x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x 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))

rewrite53.0ms (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))))))))

simplify61.0ms (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))

localize19.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 51 to 35 computations (31.4% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite64.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1086×*-commutative
926×associate-*r/
764×distribute-lft-in
742×distribute-rgt-in
678×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01129
123829
2313629
Stop Event
1×node limit
Counts
1 → 17
Calls
Call 1
Inputs
(atan.f64 (-.f64 1 (-.f64 x (*.f64 (*.f64 1/2 x) x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) (sqrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))))))

simplify73.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
804×*-commutative
800×associate-*r*
600×associate-*l*
548×distribute-lft-in
496×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052725
1107725
2413609
32179609
45220609
57656609
Stop Event
1×node limit
Counts
29 → 22
Calls
Call 1
Inputs
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))) 1)
(*.f64 1 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
(*.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 1)
(*.f64 (sqrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) (sqrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))
(*.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))
(pow.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 2))
(log.f64 (exp.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))
(exp.f64 (log.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))
Outputs
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))) 1)
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(*.f64 1 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(*.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 1)
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(*.f64 (sqrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) (sqrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(*.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) 2))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(pow.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 1)
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(pow.f64 (sqrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) 2)
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(pow.f64 (cbrt.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))) 3)
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(pow.f64 (pow.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 3) 1/3)
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(sqrt.f64 (pow.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 2))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(log.f64 (exp.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(cbrt.f64 (pow.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) 3))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(expm1.f64 (log1p.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(exp.f64 (log.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))
(log1p.f64 (expm1.f64 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))
(atan.f64 (fma.f64 x (*.f64 1/2 x) (-.f64 1 x)))
(atan.f64 (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(atan.f64 (fma.f64 x (fma.f64 1/2 x -1) 1))

localize27.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiled 80 to 51 computations (36.3% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite79.0ms (1.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01466
131358
2424158
Stop Event
1×node limit
Counts
2 → 76
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)))
(atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) (-.f64 (*.f64 -1/2 (pow.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) 1) (*.f64 (*.f64 -1/2 (pow.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/2 (pow.f64 x 3)) 1) (*.f64 (*.f64 x (*.f64 x 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (/.f64 (+.f64 1/2 (*.f64 1/2 x)) (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))) (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))) (+.f64 1/2 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3))) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)) (*.f64 x x)) (+.f64 1/2 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3)) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/2))) (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (-.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 3) (pow.f64 (*.f64 -1/2 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/2))) (-.f64 (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3))) (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)))) (+.f64 1/2 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3)))) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 1/4 (*.f64 -1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) 1/4) 1/4)) (-.f64 (*.f64 x -1/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)))) (neg.f64 (+.f64 1/2 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (neg.f64 (+.f64 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simplify70.0ms (1.1%)

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

Useful iterations: 2 (0.0ms)

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

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)
✓0.0b
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2))
0.0b
(/.f64 (-.f64 1 x) (+.f64 1 x))
✓0.0b
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)
Compiler

Compiled 64 to 51 computations (20.3% saved)

series3.0ms (0%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)
0.0ms
x
@inf
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)
0.0ms
x
@-inf
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)
0.0ms
x
@0
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)
0.0ms
x
@-inf
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)

rewrite77.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
1568×associate-*l/
1542×associate-/r*
1098×*-commutative
1058×associate-/l*
276×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01379
128575
2356075
Stop Event
1×node limit
Counts
3 → 89
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)))) (#(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 (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 (-.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 (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)) (pow.f64 (/.f64 -1 (-.f64 -1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/8) (*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/8)))))) (#(struct:change #<rule 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simplify98.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1372×distribute-lft-in
1206×associate-/r/
892×associate-+r+
856×fma-def
746×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02694673
15484293
216364129
351924129
Stop Event
1×node limit
Counts
117 → 175
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -3/8 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)) (*.f64 -1/8 (/.f64 (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 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 3/8 (sqrt.f64 -1)) (*.f64 1/8 (sqrt.f64 -1))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/4) 2))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/4) 2))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/4) 2))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/4) 2))
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1))
(+.f64 (*.f64 -3/16 (pow.f64 x 3)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1)))
(pow.f64 -1 1/4)
(+.f64 (pow.f64 -1 1/4) (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))))
(+.f64 (pow.f64 -1 1/4) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 2))))))
(+.f64 (pow.f64 -1 1/4) (+.f64 (*.f64 -3/16 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 2)))))))
(pow.f64 -1 1/4)
(+.f64 (pow.f64 -1 1/4) (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))))
(+.f64 (pow.f64 -1 1/4) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 2))))))
(+.f64 (pow.f64 -1 1/4) (+.f64 (*.f64 -3/16 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 2)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (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 (-.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)) (pow.f64 (/.f64 -1 (-.f64 -1 x)) 1/2))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/8) (*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/8)))
(*.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 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) (*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (cbrt.f64 (sqrt.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 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/8)) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/8))
(*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))
(*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.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 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(/.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))
(/.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (cbrt.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (sqrt.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (sqrt.f64 (+.f64 1 x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 x)) 1) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (/.f64 -1 (-.f64 -1 x)))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (sqrt.f64 (/.f64 -1 (-.f64 -1 x)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (/.f64 -1 (-.f64 -1 x)) 1/2)) (sqrt.f64 (+.f64 1 x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (pow.f64 (/.f64 -1 (-.f64 -1 x)) 1/2)) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (+.f64 1 x)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 x)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (-.f64 -1 x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (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))))
(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 (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 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 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 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))) 1)
(*.f64 1 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 1)
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 1 1/4))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/8) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/8))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(*.f64 (pow.f64 1 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(*.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (/.f64 -1 (-.f64 -1 x)) 1/4))
(*.f64 (pow.f64 (/.f64 -1 (-.f64 -1 x)) 1/4) (pow.f64 (-.f64 1 x) 1/4))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/4) (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/4) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/4) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/4))
(sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(fabs.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/4))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))
(exp.f64 (*.f64 1/4 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))
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 1 (*.f64 (*.f64 1/2 x) x)) x)
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(+.f64 1 (-.f64 (fma.f64 -1/2 (pow.f64 x 3) (*.f64 (*.f64 1/2 x) x)) x))
(fma.f64 -1/2 (pow.f64 x 3) (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (neg.f64 (/.f64 (sqrt.f64 -1) x)))
(-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (neg.f64 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x))))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (/.f64 1/2 x))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -3/8 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)) (*.f64 -1/8 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)))))))
(+.f64 (sqrt.f64 -1) (fma.f64 -3/8 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (fma.f64 -1 (/.f64 (sqrt.f64 -1) x) (*.f64 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) -1/8)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -3/8 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (-.f64 (/.f64 -1/8 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) x)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (/.f64 1/2 x))) (*.f64 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) -1/2)))
(+.f64 (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (/.f64 1/2 x))) (+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) -1/2)))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (neg.f64 (/.f64 (sqrt.f64 -1) x)))
(-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (neg.f64 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x))))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (/.f64 1/2 x))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 3/8 (sqrt.f64 -1)) (*.f64 1/8 (sqrt.f64 -1))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1 (/.f64 (*.f64 (sqrt.f64 -1) 1/2) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (neg.f64 (/.f64 (sqrt.f64 -1) x)))))
(+.f64 (-.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 (sqrt.f64 -1) x)) (-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) (/.f64 (pow.f64 x 3) 1/2))))
(+.f64 (sqrt.f64 -1) (-.f64 (*.f64 (+.f64 (/.f64 -1 x) 1) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)))) (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (-.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (*.f64 (/.f64 1/2 (*.f64 x x)) (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) x)))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/4) 2))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))) 1/4) 2))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/4) 2))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))) 1/4) 2))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/4) 2))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))) 1/4) 2))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/4) 2))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))) 1/4) 2))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
1
(+.f64 (*.f64 -1/2 x) 1)
(fma.f64 -1/2 x 1)
(fma.f64 x -1/2 1)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/2 x 1))
(fma.f64 (*.f64 x x) 1/8 (fma.f64 x -1/2 1))
(fma.f64 x -1/2 (fma.f64 x (*.f64 x 1/8) 1))
(+.f64 (*.f64 -3/16 (pow.f64 x 3)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1)))
(fma.f64 -3/16 (pow.f64 x 3) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/2 x 1)))
(fma.f64 (pow.f64 x 3) -3/16 (fma.f64 (*.f64 x x) 1/8 (fma.f64 x -1/2 1)))
(fma.f64 x (*.f64 x 1/8) (fma.f64 (pow.f64 x 3) -3/16 (fma.f64 x -1/2 1)))
(pow.f64 -1 1/4)
(+.f64 (pow.f64 -1 1/4) (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))))
(fma.f64 -1/2 (/.f64 (pow.f64 -1 1/4) x) (pow.f64 -1 1/4))
(*.f64 (pow.f64 -1 1/4) (+.f64 1 (/.f64 -1/2 x)))
(+.f64 (pow.f64 -1 1/4) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 2))))))
(+.f64 (pow.f64 -1 1/4) (fma.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x)) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (*.f64 x x))))))
(+.f64 (pow.f64 -1 1/4) (fma.f64 1/8 (/.f64 (pow.f64 -1 1/4) (*.f64 x x)) (*.f64 -1/2 (/.f64 (pow.f64 -1 1/4) x))))
(+.f64 (pow.f64 -1 1/4) (*.f64 (pow.f64 -1 1/4) (+.f64 (/.f64 -1/2 x) (/.f64 1/8 (*.f64 x x)))))
(+.f64 (pow.f64 -1 1/4) (+.f64 (*.f64 -3/16 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 2)))))))
(+.f64 (pow.f64 -1 1/4) (fma.f64 -3/16 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 3))) (fma.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x)) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (*.f64 x x)))))))
(+.f64 (pow.f64 -1 1/4) (fma.f64 -3/16 (/.f64 (pow.f64 -1 1/4) (pow.f64 x 3)) (fma.f64 1/8 (/.f64 (pow.f64 -1 1/4) (*.f64 x x)) (*.f64 -1/2 (/.f64 (pow.f64 -1 1/4) x)))))
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(exp.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(pow.f64 (exp.f64 1/2) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(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 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))) 1/4) 2))
(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 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))) 1/4) 2))
(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 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))) 1/4) 2))
(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 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))) 1/4) 2))
(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 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))) 1/4) 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 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))) 1/4) 2))
(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 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))) 1/4) 2))
(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 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))) 1/4) 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 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))) 1/4) 2))
(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 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))) 1/4) 2))
(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 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))) 1/4) 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 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))) 1/4) 2))
(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 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))) 1/4) 2))
(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 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))) 1/4) 2))
(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 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))) 1/4) 2))
(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 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))) 1/4) 2))
(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 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x))) 1/4) 2))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))) 1)
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)
(*.f64 1 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 1)
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 1 1/4))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/8) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/8))
(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 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))
(*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (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 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(*.f64 (pow.f64 1 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)
(*.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (/.f64 -1 (-.f64 -1 x)) 1/4))
(*.f64 (pow.f64 (/.f64 -1 (-.f64 -1 x)) 1/4) (pow.f64 (-.f64 1 x) 1/4))
(*.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (/.f64 -1 (-.f64 -1 x)) 1/4))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/4) (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/4))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/4) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/4) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/4) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/4))
(sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)
(fabs.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/4))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)
(exp.f64 (*.f64 1/4 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(pow.f64 (exp.f64 1/4) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)

eval451.0ms (6.8%)

Compiler

Compiled 16181 to 12570 computations (22.3% saved)

prune170.0ms (2.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New7315736
Fresh101
Picked101
Done235
Total7358743
Error
0b
Counts
743 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.4b
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
▶1.3b
(*.f64 2 (log.f64 (exp.f64 (atan.f64 (-.f64 1 x)))))
▶0.2b
(*.f64 2 (atan.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (+.f64 1 x))))
✓0.2b
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 (*.f64 1/2 x) x)))))
✓0.4b
(*.f64 2 (atan.f64 (-.f64 1 x)))
▶0.0b
(*.f64 2 (atan.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)))))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
▶1.3b
(*.f64 2 (atan.f64 1))
Compiler

Compiled 156 to 128 computations (17.9% saved)

localize31.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiled 96 to 58 computations (39.6% saved)

series2.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite118.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
1172×associate-/r*
1132×associate-/l*
758×distribute-lft-in
650×associate-/r/
426×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
013146
1278110
23718106
Stop Event
1×node limit
Counts
4 → 289
Calls
Call 1
Inputs
(atan.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(/.f64 1 (-.f64 1 (*.f64 x x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) (cbrt.f64 (pow.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))))))
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x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 x (neg.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))))))))

simplify203.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
1184×associate-/l*
828×associate-/l/
720×associate-*r*
688×*-commutative
638×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
076917253
1225016133
Stop Event
1×node limit
Counts
337 → 523
Calls
Call 1
Inputs
(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 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)))))
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 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 (sqrt.f64 -1) x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))
(*.f64 (sqrt.f64 -1) (pow.f64 x 2))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) x)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (+.f64 (pow.f64 x 2) (pow.f64 x 4)))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (pow.f64 x 6))))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))) 1)
(*.f64 1 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
(*.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) 1)
(*.f64 (sqrt.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) (sqrt.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) (cbrt.f64 (pow.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))
(pow.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) 1)
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) 2)
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) 3)
(pow.f64 (pow.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) 2))
(log.f64 (exp.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))
(exp.f64 (log.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.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 (neg.f64 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)))
(+.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (*.f64 1 (*.f64 (neg.f64 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))))
(+.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x))))
(+.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (*.f64 (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 (*.f64 (neg.f64 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2)) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(+.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 x))) 1) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 x))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 x))) (*.f64 x x)) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 x))) 1))
(+.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 (-.f64 1 (pow.f64 x 6)) (-.f64 1 x))) 1) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 (-.f64 1 (pow.f64 x 6)) (-.f64 1 x))) (+.f64 (*.f64 x x) (pow.f64 x 4))))
(+.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 (-.f64 1 (pow.f64 x 6)) (-.f64 1 x))) (+.f64 (*.f64 x x) (pow.f64 x 4))) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 (-.f64 1 (pow.f64 x 6)) (-.f64 1 x))) 1))
(+.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 (-.f64 1 (pow.f64 x 6)) (-.f64 1 x))) (+.f64 1 (pow.f64 x 4))) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 (-.f64 1 (pow.f64 x 6)) (-.f64 1 x))) (*.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))) 1)
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)))
(/.f64 1 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 1 x))))
(/.f64 1 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (/.f64 1 (-.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 (+.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (/.f64 1 (+.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)))
(/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (+.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (-.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (-.f64 1 (*.f64 x x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 1)
(/.f64 (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x))) (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)))))
(/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (/.f64 1 (-.f64 1 x)))
(/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (/.f64 (+.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))
(/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (-.f64 1 x))))
(/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (/.f64 (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)))) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))
(/.f64 (cbrt.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x))) (/.f64 (-.f64 1 (*.f64 x x)) (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 x) 2)))))
(/.f64 (cbrt.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x))) (/.f64 (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x))))))
(/.f64 (cbrt.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x))) (/.f64 (/.f64 (-.f64 1 (*.f64 x x)) (cbrt.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)))) (cbrt.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)))))
(/.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 x) 2))) (/.f64 (-.f64 1 (*.f64 x x)) (cbrt.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)))))
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))))
(/.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (-.f64 1 x))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (cbrt.f64 (-.f64 1 x))))
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(/.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2)))) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 3) 1/3)
(sqrt.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) 3))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3)) (pow.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) 3) (/.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) 3) (pow.f64 (-.f64 1 (*.f64 x x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 1 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x))))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 1 (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (neg.f64 x) 1)))
(+.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (-.f64 1 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (-.f64 1 (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 1 (/.f64 1 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x))))
(/.f64 1 (/.f64 (+.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)))
(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 1 x)))
(/.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) 1)
(/.f64 (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x))) (/.f64 1 (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)))))
(/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (/.f64 1 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (cbrt.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x))) (/.f64 1 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 x) 2)))))
(/.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 x) 2))) (/.f64 1 (cbrt.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (*.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (-.f64 1 x))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2)) (/.f64 (+.f64 1 x) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (+.f64 1 x))
(/.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 (+.f64 1 (fma.f64 x x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (/.f64 (+.f64 1 x) (sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (/.f64 (+.f64 1 x) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (/.f64 (+.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (+.f64 1 x) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x))) (/.f64 1 (sqrt.f64 (-.f64 1 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (/.f64 1 (cbrt.f64 (-.f64 1 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 (-.f64 1 (*.f64 x x)))) (/.f64 1 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 4)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (+.f64 1 x) (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (+.f64 1 x) (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1) (+.f64 1 x))
(/.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (+.f64 1 x)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 (pow.f64 x 3))) 1) (+.f64 1 (fma.f64 x x x)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.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 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.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 (-.f64 1 (pow.f64 x 3)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1) (+.f64 1 (fma.f64 x x x)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.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 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) 3) 1/3)
(sqrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 x) 2)))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 (-.f64 1 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x))))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 4))) 1) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 4))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 4))) (*.f64 x x)) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 4))) 1))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 6))) 1) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 x x) (pow.f64 x 4))))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 x x) (pow.f64 x 4))) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 6))) 1))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 6))) (+.f64 1 (pow.f64 x 4))) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 6))) (*.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))) 1)
(*.f64 1 (/.f64 1 (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 1)
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 -1 (/.f64 -1 (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2))) (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 x x)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4))))
(*.f64 (/.f64 -1 (-.f64 1 (*.f64 x x))) -1)
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) -1) (pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2)) -1) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) -1))
(*.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 1 (-.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))))) (+.f64 1 (*.f64 x x)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (*.f64 x (neg.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 x (neg.f64 x)))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4)))))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 1 (pow.f64 x 4)))) (+.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 1 (pow.f64 x 6)))) (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4))))
(*.f64 (/.f64 (/.f64 1 (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 (/.f64 1 (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 x x)) (-.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 x 4)))) (+.f64 1 (pow.f64 x 4)))
(*.f64 (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 (pow.f64 x 4) 3))) (+.f64 1 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 4) (pow.f64 x 4)))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4))) (-.f64 1 (*.f64 (pow.f64 x 6) (pow.f64 x 6)))) (+.f64 1 (pow.f64 x 6)))
(*.f64 (/.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4))) (-.f64 1 (pow.f64 (pow.f64 x 6) 3))) (+.f64 1 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 6) (pow.f64 x 6)))))
(pow.f64 (-.f64 1 (*.f64 x x)) -1)
(pow.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 1)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))) 3)
(pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3)) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 x (neg.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 x (neg.f64 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))))
Outputs
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
1
(+.f64 1 (*.f64 -1 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 (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 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(+.f64 (/.f64 (sqrt.f64 -1) x) (*.f64 -1 (sqrt.f64 -1)))
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1
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 (*.f64 x x))))))
(/.f64 1 (-.f64 1 (*.f64 x x)))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))))
(/.f64 1 (-.f64 1 (*.f64 x x)))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 x (neg.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x (neg.f64 x))) -1))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 x (neg.f64 x)))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 x (neg.f64 x)))) 1))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 x (neg.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))))
(/.f64 1 (-.f64 1 (*.f64 x x)))

localize4.0ms (0.1%)

Compiler

Compiled 9 to 9 computations (0% saved)

localize16.0ms (0.2%)

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

rewrite91.0ms (1.4%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0940
120128
2277828
Stop Event
1×node limit
Counts
2 → 165
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
(+.f64 1 (atan.f64 (-.f64 1 x)))
Outputs
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simplify219.0ms (3.3%)

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

Useful iterations: 1 (0.0ms)

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

localize21.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 60 to 38 computations (36.7% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite80.0ms (1.2%)

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

Useful iterations: 1 (0.0ms)

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

simplify85.0ms (1.3%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
02022899
14932815
218202787
366442787
Stop Event
1×node limit
Counts
105 → 117
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(*.f64 -1/2 x)
(+.f64 1/2 (*.f64 -1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 -1/2 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 -1/2 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(*.f64 -1/2 x)
(+.f64 1/2 (*.f64 -1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 -1/2 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 -1/2 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 (*.f64 -1 x))))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 1)
(*.f64 1 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(*.f64 (fma.f64 x (*.f64 x -1/2) 1) (/.f64 1 (+.f64 1 x)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 1)
(*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (/.f64 1 (+.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) (/.f64 1 (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 2) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 1 x)) (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 (-.f64 -1 (*.f64 x (*.f64 x -1/2))) (/.f64 1 (-.f64 -1 x)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(*.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))
(*.f64 (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 1) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (+.f64 1 x)))
(*.f64 (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) (+.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) -1)
(neg.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (-.f64 -1 x)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))) (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))) 1)
(*.f64 1 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(*.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 1)
(*.f64 (sqrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) (sqrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(pow.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 2))
(log.f64 (exp.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(exp.f64 (log.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(+.f64 1 (-.f64 (*.f64 x (*.f64 x -1/2)) 1))
(+.f64 (*.f64 x (*.f64 x -1/2)) 0)
(-.f64 (fma.f64 x (*.f64 x -1/2) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) 1))) 2)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 x (*.f64 x -1/2)))) (+.f64 (/.f64 (pow.f64 x 4) (/.f64 (-.f64 1 (*.f64 x (*.f64 x -1/2))) 1/4)) 1))
(pow.f64 (*.f64 x (*.f64 x -1/2)) 1)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/2))))
Outputs
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) (-.f64 1 x))
(+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 1/2 (*.f64 -1/2 x))
(+.f64 1/2 (*.f64 x -1/2))
(fma.f64 x -1/2 1/2)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 -1/2 x)))
(+.f64 (+.f64 1/2 (*.f64 x -1/2)) (/.f64 1/2 x))
(+.f64 (fma.f64 x -1/2 1/2) (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 -1/2 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 1/2 (*.f64 x -1/2)) (/.f64 1/2 (*.f64 x x))))
(+.f64 (fma.f64 x -1/2 1/2) (+.f64 (/.f64 1/2 x) (/.f64 -1/2 (*.f64 x x))))
(+.f64 1/2 (+.f64 (fma.f64 x -1/2 (/.f64 1/2 x)) (/.f64 -1/2 (*.f64 x x))))
(+.f64 1/2 (+.f64 (/.f64 -1/2 (*.f64 x x)) (fma.f64 x -1/2 (/.f64 1/2 x))))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 1/2 (*.f64 -1/2 x))
(+.f64 1/2 (*.f64 x -1/2))
(fma.f64 x -1/2 1/2)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 -1/2 x)))
(+.f64 (+.f64 1/2 (*.f64 x -1/2)) (/.f64 1/2 x))
(+.f64 (fma.f64 x -1/2 1/2) (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 -1/2 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 1/2 (*.f64 x -1/2)) (/.f64 1/2 (*.f64 x x))))
(+.f64 (fma.f64 x -1/2 1/2) (+.f64 (/.f64 1/2 x) (/.f64 -1/2 (*.f64 x x))))
(+.f64 1/2 (+.f64 (fma.f64 x -1/2 (/.f64 1/2 x)) (/.f64 -1/2 (*.f64 x x))))
(+.f64 1/2 (+.f64 (/.f64 -1/2 (*.f64 x x)) (fma.f64 x -1/2 (/.f64 1/2 x))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 1)
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(*.f64 1 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(*.f64 (fma.f64 x (*.f64 x -1/2) 1) (/.f64 1 (+.f64 1 x)))
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(*.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 1)
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (/.f64 1 (+.f64 1 x))))
(*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (*.f64 (/.f64 1 (+.f64 1 x)) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))))
(*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (+.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) (/.f64 1 (+.f64 1 x))))
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 2))
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 2) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(*.f64 (/.f64 1 (+.f64 1 x)) (fma.f64 x (*.f64 x -1/2) 1))
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(*.f64 (-.f64 -1 (*.f64 x (*.f64 x -1/2))) (/.f64 1 (-.f64 -1 x)))
(/.f64 (+.f64 -1 (*.f64 x (*.f64 x 1/2))) (-.f64 -1 x))
(/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (cbrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (cbrt.f64 (+.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))
(*.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(/.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) (-.f64 1 x)) (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (fma.f64 x (neg.f64 x) 1)) (-.f64 1 x))
(*.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 x x) (-.f64 1 x)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))
(*.f64 (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 1) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (+.f64 1 x)))
(*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (*.f64 (/.f64 1 (+.f64 1 x)) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))))
(*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (+.f64 1 x)))
(*.f64 (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) (+.f64 1 x)))
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 1)
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 2)
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 3)
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 3) 1/3)
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(pow.f64 (/.f64 (+.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) -1)
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (-.f64 -1 x)))
(*.f64 (-.f64 -1 (*.f64 x (*.f64 x -1/2))) (/.f64 1 (-.f64 -1 x)))
(/.f64 (+.f64 -1 (*.f64 x (*.f64 x 1/2))) (-.f64 -1 x))
(/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 2))
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(log.f64 (exp.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 3))
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(exp.f64 (-.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))) (log1p.f64 x)) 1))
(exp.f64 (-.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))) (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))) 1)
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(*.f64 1 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(*.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 1)
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) (sqrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 2))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(pow.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 1)
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 2)
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 3)
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 3) 1/3)
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 2))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(log.f64 (exp.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 3))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(exp.f64 (log.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 1))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(+.f64 1 (-.f64 (*.f64 x (*.f64 x -1/2)) 1))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 x (*.f64 x -1/2)) 0)
(*.f64 x (*.f64 x -1/2))
(-.f64 (fma.f64 x (*.f64 x -1/2) 1) 1)
(*.f64 x (*.f64 x -1/2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) 1))) 2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) 1))) -2)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 x (*.f64 x -1/2)))) (+.f64 (/.f64 (pow.f64 x 4) (/.f64 (-.f64 1 (*.f64 x (*.f64 x -1/2))) 1/4)) 1))
(-.f64 (/.f64 1 (-.f64 1 (*.f64 x (*.f64 x -1/2)))) (+.f64 1 (*.f64 (/.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x (*.f64 x -1/2)))) 1/4)))
(-.f64 (-.f64 (/.f64 1 (+.f64 1 (*.f64 x (*.f64 x 1/2)))) 1) (/.f64 (pow.f64 x 4) (-.f64 4 (/.f64 (*.f64 x x) -1/2))))
(-.f64 (/.f64 1 (fma.f64 x (*.f64 x 1/2) 1)) (fma.f64 1/4 (/.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/2) 1)) 1))
(pow.f64 (*.f64 x (*.f64 x -1/2)) 1)
(*.f64 x (*.f64 x -1/2))
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(*.f64 x (*.f64 x -1/2))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 3)
(*.f64 x (*.f64 x -1/2))
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/8))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))
(*.f64 x (*.f64 x -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))))
(*.f64 x (*.f64 x -1/2))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/8))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))))
(*.f64 x (*.f64 x -1/2))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/2))))
(*.f64 x (*.f64 x -1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/2))) 1))
(*.f64 x (*.f64 x -1/2))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/2))))
(*.f64 x (*.f64 x -1/2))

localize46.0ms (0.7%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(atan.f64 (-.f64 1 x))
✓0.0b
(exp.f64 (atan.f64 (-.f64 1 x)))
✓1.0b
(log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))
Compiler

Compiled 30 to 24 computations (20% saved)

series1.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite90.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
1522×add-sqr-sqrt
1506×*-un-lft-identity
1396×add-cube-cbrt
1382×add-cbrt-cube
1370×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
117026
2186626
Stop Event
1×node limit
Counts
2 → 39
Calls
Call 1
Inputs
(log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))
(exp.f64 (atan.f64 (-.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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 cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x atan.f64 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (atan.f64 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (atan.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (exp.f64 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (atan.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (-.f64 1 x)))) 2) (cbrt.f64 (exp.f64 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (atan.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (atan.f64 (-.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (atan.f64 (-.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (atan.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.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 sqrt.f64 (pow.f64 (exp.f64 (atan.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (atan.f64 (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (atan.f64 (-.f64 1 x)))))))))

simplify50.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1358×associate-*r*
1016×associate-*l*
936×*-commutative
696×unswap-sqr
524×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081697
1156697
2765697
34164697
Stop Event
1×node limit
Counts
55 → 42
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)))
(exp.f64 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(exp.f64 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(exp.f64 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(exp.f64 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 0 (atan.f64 (-.f64 1 x)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (-.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (-.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))
(cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))
(atan.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (atan.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))
(+.f64 1 (expm1.f64 (atan.f64 (-.f64 1 x))))
(-.f64 (+.f64 1 (exp.f64 (atan.f64 (-.f64 1 x)))) 1)
(*.f64 1 (exp.f64 (atan.f64 (-.f64 1 x))))
(*.f64 (exp.f64 (atan.f64 (-.f64 1 x))) 1)
(*.f64 (sqrt.f64 (exp.f64 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (exp.f64 (atan.f64 (-.f64 1 x)))))
(*.f64 (cbrt.f64 (exp.f64 (atan.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (-.f64 1 x)))) 2) (cbrt.f64 (exp.f64 (atan.f64 (-.f64 1 x)))))
(pow.f64 (exp.f64 (atan.f64 (-.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (atan.f64 (-.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (exp.f64 (atan.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (E.f64) (atan.f64 (-.f64 1 x)))
(pow.f64 (exp.f64 (sqrt.f64 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (atan.f64 (-.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2)) (cbrt.f64 (atan.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (exp.f64 (atan.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (exp.f64 (atan.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (exp.f64 (atan.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (atan.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (exp.f64 (atan.f64 (-.f64 1 x)))))
Outputs
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(exp.f64 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(exp.f64 (atan.f64 (-.f64 1 x)))
(exp.f64 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(exp.f64 (atan.f64 (-.f64 1 x)))
(exp.f64 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(exp.f64 (atan.f64 (-.f64 1 x)))
(exp.f64 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(exp.f64 (atan.f64 (-.f64 1 x)))
(+.f64 0 (atan.f64 (-.f64 1 x)))
(atan.f64 (-.f64 1 x))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (-.f64 1 x))))))
(atan.f64 (-.f64 1 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (-.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))
(cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(exp.f64 (log.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (atan.f64 (-.f64 1 x))) 1))
(atan.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(+.f64 1 (expm1.f64 (atan.f64 (-.f64 1 x))))
(exp.f64 (atan.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (exp.f64 (atan.f64 (-.f64 1 x)))) 1)
(exp.f64 (atan.f64 (-.f64 1 x)))
(*.f64 1 (exp.f64 (atan.f64 (-.f64 1 x))))
(exp.f64 (atan.f64 (-.f64 1 x)))
(*.f64 (exp.f64 (atan.f64 (-.f64 1 x))) 1)
(exp.f64 (atan.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (exp.f64 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (exp.f64 (atan.f64 (-.f64 1 x)))))
(exp.f64 (atan.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (exp.f64 (atan.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (-.f64 1 x)))) 2))
(exp.f64 (atan.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (-.f64 1 x)))) 2) (cbrt.f64 (exp.f64 (atan.f64 (-.f64 1 x)))))
(exp.f64 (atan.f64 (-.f64 1 x)))
(pow.f64 (exp.f64 (atan.f64 (-.f64 1 x))) 1)
(exp.f64 (atan.f64 (-.f64 1 x)))
(pow.f64 (sqrt.f64 (exp.f64 (atan.f64 (-.f64 1 x)))) 2)
(exp.f64 (atan.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (-.f64 1 x)))) 3)
(exp.f64 (atan.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (exp.f64 (atan.f64 (-.f64 1 x))) 3) 1/3)
(exp.f64 (atan.f64 (-.f64 1 x)))
(pow.f64 (E.f64) (atan.f64 (-.f64 1 x)))
(exp.f64 (atan.f64 (-.f64 1 x)))
(pow.f64 (exp.f64 (sqrt.f64 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (atan.f64 (-.f64 1 x))))
(exp.f64 (atan.f64 (-.f64 1 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2)) (cbrt.f64 (atan.f64 (-.f64 1 x))))
(exp.f64 (atan.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (exp.f64 (atan.f64 (-.f64 1 x))) 2))
(exp.f64 (atan.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (exp.f64 (atan.f64 (-.f64 1 x)))))
(exp.f64 (atan.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (exp.f64 (atan.f64 (-.f64 1 x))) 3))
(exp.f64 (atan.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (exp.f64 (atan.f64 (-.f64 1 x)))))
(exp.f64 (atan.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (exp.f64 (atan.f64 (-.f64 1 x)))))
(exp.f64 (atan.f64 (-.f64 1 x)))

eval721.0ms (10.9%)

Compiler

Compiled 25122 to 19466 computations (22.5% saved)

prune270.0ms (4.1%)

Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New9723975
Fresh000
Picked101
Done077
Total97310983
Error
0b
Counts
983 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.4b
(*.f64 2 (/.f64 1 (/.f64 1 (atan.f64 (-.f64 1 x)))))
✓0.4b
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
▶0.2b
(*.f64 2 (atan.f64 (/.f64 (+.f64 1 (+.f64 1 (-.f64 (*.f64 x (*.f64 x -1/2)) 1))) (+.f64 1 x))))
✓0.2b
(*.f64 2 (atan.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (+.f64 1 x))))
✓0.2b
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 (*.f64 1/2 x) x)))))
✓0.4b
(*.f64 2 (atan.f64 (-.f64 1 x)))
▶0.2b
(*.f64 2 (atan.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 1 (-.f64 (*.f64 x (*.f64 x -1/2)) x)))))
✓0.0b
(*.f64 2 (atan.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)))))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
✓1.3b
(*.f64 2 (atan.f64 1))
Compiler

Compiled 136 to 111 computations (18.4% saved)

localize41.0ms (0.6%)

Local error

Found 3 expressions with local error:

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

Compiled 99 to 63 computations (36.4% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite106.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
1082×associate-/r*
780×associate-/l*
728×associate-/r/
358×associate-+l+
350×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01590
133990
2471490
Stop Event
1×node limit
Counts
2 → 152
Calls
Call 1
Inputs
(atan.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 1 (-.f64 (*.f64 x (*.f64 x -1/2)) x))))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 1 (-.f64 (*.f64 x (*.f64 x -1/2)) x)))
Outputs
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simplify131.0ms (2%)

Algorithm
1×egg-herbie
Rules
1156×associate-/r/
560×associate-/l/
514×+-commutative
476×associate-+l+
456×distribute-frac-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043311830
1116610352
2451010232
Stop Event
1×node limit
Counts
176 → 256
Calls
Call 1
Inputs
(atan.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) x) (-.f64 1 (pow.f64 x 2))))
(atan.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) x) (-.f64 1 (pow.f64 x 2))))
(atan.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) x) (-.f64 1 (pow.f64 x 2))))
(atan.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) x) (-.f64 1 (pow.f64 x 2))))
(atan.f64 (/.f64 (-.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) (-.f64 1 (pow.f64 x 2))))
(atan.f64 (/.f64 (-.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) (-.f64 1 (pow.f64 x 2))))
(atan.f64 (/.f64 (-.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) (-.f64 1 (pow.f64 x 2))))
(atan.f64 (/.f64 (-.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) (-.f64 1 (pow.f64 x 2))))
(atan.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 (pow.f64 x 2))))
(atan.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 (pow.f64 x 2))))
(atan.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 (pow.f64 x 2))))
(atan.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 (pow.f64 x 2))))
1
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(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
1/2
(+.f64 1/2 (/.f64 1 x))
(-.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1/2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
1/2
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(-.f64 (+.f64 1/2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
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(pow.f64 (atan.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x)) (-.f64 1 (*.f64 x x)))) 1)
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x)) (-.f64 1 (*.f64 x x))))) 2)
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(/.f64 (/.f64 (*.f64 -1 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x))) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 2)) (/.f64 -1 (+.f64 -1 (*.f64 x x)))) 1) (+.f64 x (-.f64 1 (*.f64 x (*.f64 x -1/2)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 2)) (/.f64 -1 (+.f64 -1 (*.f64 x x)))) (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 (-.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 2)) (/.f64 -1 (+.f64 -1 (*.f64 x x)))) (*.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 (+.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 3)) (/.f64 -1 (+.f64 -1 (*.f64 x x)))) 1) (+.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 2) (+.f64 x (-.f64 1 (*.f64 x (*.f64 x -1/2))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 3)) (/.f64 -1 (+.f64 -1 (*.f64 x x)))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 2) (+.f64 x (-.f64 1 (*.f64 x (*.f64 x -1/2))))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 2) (+.f64 x (-.f64 1 (*.f64 x (*.f64 x -1/2)))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 3)) (/.f64 -1 (+.f64 -1 (*.f64 x x)))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 2) (+.f64 x (-.f64 1 (*.f64 x (*.f64 x -1/2)))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 2) (+.f64 x (-.f64 1 (*.f64 x (*.f64 x -1/2)))))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 2) (+.f64 x (-.f64 1 (*.f64 x (*.f64 x -1/2)))))))
(/.f64 (/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) 1) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))) (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (*.f64 -1 (-.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 2))) (+.f64 -1 (*.f64 x x))) (+.f64 x (-.f64 1 (*.f64 x (*.f64 x -1/2)))))
(/.f64 (/.f64 (*.f64 -1 (+.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 3))) (+.f64 -1 (*.f64 x x))) (+.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 2) (+.f64 x (-.f64 1 (*.f64 x (*.f64 x -1/2))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 2)) 1) (+.f64 x (-.f64 1 (*.f64 x (*.f64 x -1/2))))) (-.f64 1 (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 2)) -1) (+.f64 x (-.f64 1 (*.f64 x (*.f64 x -1/2))))) (+.f64 -1 (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 3)) 1) (+.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 2) (+.f64 x (-.f64 1 (*.f64 x (*.f64 x -1/2)))))) (-.f64 1 (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 3)) -1) (+.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x) 2) (+.f64 x (-.f64 1 (*.f64 x (*.f64 x -1/2)))))) (+.f64 -1 (*.f64 x x)))
(/.f64 (/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x))) 1) (+.f64 -1 (*.f64 x x)))
(/.f64 (/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (neg.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x))) -1) (-.f64 1 (*.f64 x x)))
(/.f64 (/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x))) (sqrt.f64 (+.f64 -1 (*.f64 x x)))) (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(/.f64 (/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x))) (*.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x))))) (cbrt.f64 (+.f64 -1 (*.f64 x x))))
(/.f64 (/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x))) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(pow.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x)) (-.f64 1 (*.f64 x x))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x)) (-.f64 1 (*.f64 x x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x)) (-.f64 1 (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x)) (-.f64 1 (*.f64 x x))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x)) (-.f64 1 (*.f64 x x))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x)) (-.f64 1 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x)) (-.f64 1 (*.f64 x x))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x)) (-.f64 1 (*.f64 x x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (+.f64 -1 (*.f64 x x))) 3) (pow.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x)) 3) (pow.f64 (/.f64 -1 (+.f64 -1 (*.f64 x x))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x)) 3) (pow.f64 (-.f64 1 (*.f64 x x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x)) (-.f64 1 (*.f64 x x)))))
(exp.f64 (-.f64 (log1p.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (log1p.f64 (neg.f64 (*.f64 x x)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (log1p.f64 (neg.f64 (*.f64 x x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x)) (-.f64 1 (*.f64 x x)))))
(fma.f64 1 (/.f64 -1 (+.f64 -1 (*.f64 x x))) (/.f64 x (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 (*.f64 x -1/2) 1))))
(fma.f64 (/.f64 -1 (+.f64 -1 (*.f64 x x))) 1 (/.f64 x (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 (*.f64 x -1/2) 1))))
(fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (/.f64 x (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 (*.f64 x -1/2) 1))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 x (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 (*.f64 x -1/2) 1))))
Outputs
(atan.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) x) (-.f64 1 (pow.f64 x 2))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) (-.f64 1 x)) (-.f64 1 (*.f64 x x))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 x (fma.f64 -1/2 x -1))) (-.f64 1 (*.f64 x x))))
(atan.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) x) (-.f64 1 (pow.f64 x 2))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) (-.f64 1 x)) (-.f64 1 (*.f64 x x))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 x (fma.f64 -1/2 x -1))) (-.f64 1 (*.f64 x x))))
(atan.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) x) (-.f64 1 (pow.f64 x 2))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) (-.f64 1 x)) (-.f64 1 (*.f64 x x))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 x (fma.f64 -1/2 x -1))) (-.f64 1 (*.f64 x x))))
(atan.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) x) (-.f64 1 (pow.f64 x 2))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) (-.f64 1 x)) (-.f64 1 (*.f64 x x))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 x (fma.f64 -1/2 x -1))) (-.f64 1 (*.f64 x x))))
(atan.f64 (/.f64 (-.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) (-.f64 1 (pow.f64 x 2))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) (-.f64 1 x)) (-.f64 1 (*.f64 x x))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 x (fma.f64 -1/2 x -1))) (-.f64 1 (*.f64 x x))))
(atan.f64 (/.f64 (-.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) (-.f64 1 (pow.f64 x 2))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) (-.f64 1 x)) (-.f64 1 (*.f64 x x))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 x (fma.f64 -1/2 x -1))) (-.f64 1 (*.f64 x x))))
(atan.f64 (/.f64 (-.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) (-.f64 1 (pow.f64 x 2))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) (-.f64 1 x)) (-.f64 1 (*.f64 x x))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 x (fma.f64 -1/2 x -1))) (-.f64 1 (*.f64 x x))))
(atan.f64 (/.f64 (-.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) (-.f64 1 (pow.f64 x 2))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) (-.f64 1 x)) (-.f64 1 (*.f64 x x))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 x (fma.f64 -1/2 x -1))) (-.f64 1 (*.f64 x x))))
(atan.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 (pow.f64 x 2))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) (-.f64 1 x)) (-.f64 1 (*.f64 x x))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 x (fma.f64 -1/2 x -1))) (-.f64 1 (*.f64 x x))))
(atan.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 (pow.f64 x 2))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) (-.f64 1 x)) (-.f64 1 (*.f64 x x))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 x (fma.f64 -1/2 x -1))) (-.f64 1 (*.f64 x x))))
(atan.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 (pow.f64 x 2))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) (-.f64 1 x)) (-.f64 1 (*.f64 x x))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 x (fma.f64 -1/2 x -1))) (-.f64 1 (*.f64 x x))))
(atan.f64 (/.f64 (-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 (pow.f64 x 2))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) (-.f64 1 x)) (-.f64 1 (*.f64 x x))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 x (fma.f64 -1/2 x -1))) (-.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 (-.f64 (*.f64 x (*.f64 x 1/2)) x))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(fma.f64 -1 (pow.f64 x 3) (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(-.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x)) (pow.f64 x 3))
(+.f64 1 (-.f64 (-.f64 (*.f64 x (*.f64 x 1/2)) x) (pow.f64 x 3)))
1/2
(+.f64 1/2 (/.f64 1 x))
(-.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/2 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 1/2 (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 1/2 (/.f64 1/2 (*.f64 x x))))
(-.f64 (+.f64 1/2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/2 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))))
(+.f64 1/2 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x)))))
(+.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x)))))
1/2
(+.f64 1/2 (/.f64 1 x))
(-.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/2 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 1/2 (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 1/2 (/.f64 1/2 (*.f64 x x))))
(-.f64 (+.f64 1/2 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/2 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))))
(+.f64 1/2 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x)))))
(+.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x)) (-.f64 1 (*.f64 x x)))))) 1)
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) (-.f64 1 x)) (-.f64 1 (*.f64 x x))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 x (fma.f64 -1/2 x -1))) (-.f64 1 (*.f64 x x))))
(*.f64 1 (atan.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x)) (-.f64 1 (*.f64 x x)))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) (-.f64 1 x)) (-.f64 1 (*.f64 x x))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 x (fma.f64 -1/2 x -1))) (-.f64 1 (*.f64 x x))))
(*.f64 (atan.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x)) (-.f64 1 (*.f64 x x)))) 1)
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) (-.f64 1 x)) (-.f64 1 (*.f64 x x))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 x (fma.f64 -1/2 x -1))) (-.f64 1 (*.f64 x x))))
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(/.f64 (fma.f64 x (*.f64 -1/2 x) (-.f64 1 x)) (-.f64 1 (*.f64 x x)))
(/.f64 (+.f64 1 (*.f64 x (fma.f64 -1/2 x -1))) (-.f64 1 (*.f64 x x)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (+.f64 -1 (*.f64 x x))) 3) (pow.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x)) 3)))
(cbrt.f64 (*.f64 (/.f64 -1 (pow.f64 (+.f64 -1 (*.f64 x x)) 3)) (pow.f64 (fma.f64 x (*.f64 -1/2 x) (-.f64 1 x)) 3)))
(cbrt.f64 (*.f64 (/.f64 -1 (pow.f64 (fma.f64 x x -1) 3)) (pow.f64 (+.f64 1 (*.f64 x (fma.f64 -1/2 x -1))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x)) 3) (pow.f64 (/.f64 -1 (+.f64 -1 (*.f64 x x))) 3)))
(cbrt.f64 (*.f64 (/.f64 -1 (pow.f64 (+.f64 -1 (*.f64 x x)) 3)) (pow.f64 (fma.f64 x (*.f64 -1/2 x) (-.f64 1 x)) 3)))
(cbrt.f64 (*.f64 (/.f64 -1 (pow.f64 (fma.f64 x x -1) 3)) (pow.f64 (+.f64 1 (*.f64 x (fma.f64 -1/2 x -1))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x)) 3) (pow.f64 (-.f64 1 (*.f64 x x)) 3)))
(/.f64 (fma.f64 x (*.f64 -1/2 x) (-.f64 1 x)) (-.f64 1 (*.f64 x x)))
(/.f64 (+.f64 1 (*.f64 x (fma.f64 -1/2 x -1))) (-.f64 1 (*.f64 x x)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x)) (-.f64 1 (*.f64 x x)))))
(/.f64 (fma.f64 x (*.f64 -1/2 x) (-.f64 1 x)) (-.f64 1 (*.f64 x x)))
(/.f64 (+.f64 1 (*.f64 x (fma.f64 -1/2 x -1))) (-.f64 1 (*.f64 x x)))
(exp.f64 (-.f64 (log1p.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (log1p.f64 (neg.f64 (*.f64 x x)))))
(exp.f64 (-.f64 (log1p.f64 (-.f64 (*.f64 -1/2 (*.f64 x x)) x)) (log1p.f64 (*.f64 x (neg.f64 x)))))
(exp.f64 (-.f64 (log1p.f64 (*.f64 x (fma.f64 -1/2 x -1))) (log1p.f64 (*.f64 x (neg.f64 x)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x)) (log1p.f64 (neg.f64 (*.f64 x x)))) 1))
(exp.f64 (-.f64 (log1p.f64 (-.f64 (*.f64 -1/2 (*.f64 x x)) x)) (log1p.f64 (*.f64 x (neg.f64 x)))))
(exp.f64 (-.f64 (log1p.f64 (*.f64 x (fma.f64 -1/2 x -1))) (log1p.f64 (*.f64 x (neg.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 1 x)) (-.f64 1 (*.f64 x x)))))
(/.f64 (fma.f64 x (*.f64 -1/2 x) (-.f64 1 x)) (-.f64 1 (*.f64 x x)))
(/.f64 (+.f64 1 (*.f64 x (fma.f64 -1/2 x -1))) (-.f64 1 (*.f64 x x)))
(fma.f64 1 (/.f64 -1 (+.f64 -1 (*.f64 x x))) (/.f64 x (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 (*.f64 x -1/2) 1))))
(+.f64 (/.f64 -1 (+.f64 -1 (*.f64 x x))) (*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (fma.f64 x -1/2 -1)))
(fma.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (fma.f64 -1/2 x -1) (/.f64 -1 (fma.f64 x x -1)))
(fma.f64 (/.f64 -1 (+.f64 -1 (*.f64 x x))) 1 (/.f64 x (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 (*.f64 x -1/2) 1))))
(+.f64 (/.f64 -1 (+.f64 -1 (*.f64 x x))) (*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (fma.f64 x -1/2 -1)))
(fma.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (fma.f64 -1/2 x -1) (/.f64 -1 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (/.f64 x (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 (*.f64 x -1/2) 1))))
(/.f64 (fma.f64 x (*.f64 -1/2 x) (-.f64 1 x)) (-.f64 1 (*.f64 x x)))
(/.f64 (+.f64 1 (*.f64 x (fma.f64 -1/2 x -1))) (-.f64 1 (*.f64 x x)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 x (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 (*.f64 x -1/2) 1))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (fma.f64 x -1/2 -1)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (*.f64 x (fma.f64 -1/2 x -1)) (-.f64 1 (*.f64 x x))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (fma.f64 -1/2 x -1) (/.f64 x (-.f64 1 (*.f64 x x)))))

localize35.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(atan.f64 (/.f64 (+.f64 1 (+.f64 1 (-.f64 (*.f64 x (*.f64 x -1/2)) 1))) (+.f64 1 x)))
✓0.0b
(/.f64 (+.f64 1 (+.f64 1 (-.f64 (*.f64 x (*.f64 x -1/2)) 1))) (+.f64 1 x))
✓4.5b
(+.f64 1 (-.f64 (*.f64 x (*.f64 x -1/2)) 1))
Compiler

Compiled 92 to 72 computations (21.7% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite87.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1338×associate-/r*
994×associate-/l*
540×associate-+l+
410×associate-+r+
334×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01491
132171
2460771
Stop Event
1×node limit
Counts
3 → 120
Calls
Call 1
Inputs
(+.f64 1 (-.f64 (*.f64 x (*.f64 x -1/2)) 1))
(/.f64 (+.f64 1 (+.f64 1 (-.f64 (*.f64 x (*.f64 x -1/2)) 1))) (+.f64 1 x))
(atan.f64 (/.f64 (+.f64 1 (+.f64 1 (-.f64 (*.f64 x (*.f64 x -1/2)) 1))) (+.f64 1 x)))
Outputs
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simplify104.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1370×associate-/r*
1200×distribute-lft-in
1092×distribute-rgt-in
780×*-commutative
470×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03255428
18015294
230135230
Stop Event
1×node limit
Counts
156 → 214
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 -1/2 x)
(+.f64 1/2 (*.f64 -1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 -1/2 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 -1/2 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(*.f64 -1/2 x)
(+.f64 1/2 (*.f64 -1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 -1/2 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 -1/2 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 (*.f64 -1 x))))
(-.f64 (*.f64 x (*.f64 x -1/2)) 0)
(-.f64 (fma.f64 x (*.f64 x -1/2) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) 1))) 2)
(-.f64 (/.f64 1 (-.f64 2 (*.f64 x (*.f64 x -1/2)))) (/.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 2 (*.f64 x (*.f64 x -1/2)))))
(-.f64 (/.f64 1 (-.f64 2 (*.f64 x (*.f64 x -1/2)))) (-.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 2 (*.f64 x (*.f64 x -1/2)))) 0))
(-.f64 (/.f64 1 (-.f64 2 (*.f64 x (*.f64 x -1/2)))) (+.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 2 (*.f64 x (*.f64 x -1/2)))) 0))
(-.f64 (/.f64 1 (-.f64 1 (*.f64 x (*.f64 x -1/2)))) (-.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (-.f64 1 (*.f64 x (*.f64 x -1/2)))) -1))
(-.f64 (/.f64 1 (-.f64 1 (*.f64 x (*.f64 x -1/2)))) (+.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (-.f64 1 (*.f64 x (*.f64 x -1/2)))) 1))
(-.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (fma.f64 x (*.f64 x -1/2) 1)) (-.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)) 1))
(-.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (+.f64 (fma.f64 x (*.f64 x -1/2) 1) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2))) (-.f64 (/.f64 1 (+.f64 (fma.f64 x (*.f64 x -1/2) 1) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2))) 1))
(-.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) 2) 2)
(-.f64 (+.f64 1 (/.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (fma.f64 x (*.f64 x -1/2) 1))) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (+.f64 (fma.f64 x (*.f64 x -1/2) 1) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)))) (/.f64 1 (+.f64 (fma.f64 x (*.f64 x -1/2) 1) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2))))
(*.f64 1 (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 (*.f64 x -1/2) x)
(*.f64 (*.f64 x (*.f64 x -1/2)) 1)
(*.f64 (sqrt.f64 (*.f64 x -1/2)) (*.f64 (sqrt.f64 (*.f64 x -1/2)) x))
(*.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)))
(*.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 (*.f64 x (sqrt.f64 -1/2)) 1))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2) (*.f64 (cbrt.f64 (*.f64 x -1/2)) x))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 x -1/2))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 2) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 1))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x -1/2)))
(*.f64 (*.f64 x x) -1/2)
(*.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2)) (/.f64 1 (-.f64 2 (*.f64 x (*.f64 x -1/2)))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 2 (*.f64 x (*.f64 x -1/2))))))
(*.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/2))) (sqrt.f64 (*.f64 x -1/2)))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2)) (cbrt.f64 (*.f64 x -1/2)))
(*.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 1 (/.f64 1 (*.f64 x (*.f64 x -1/2))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2)) (-.f64 2 (*.f64 x (*.f64 x -1/2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 2 (*.f64 x (*.f64 x -1/2)))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3))) (/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 2 (*.f64 x (*.f64 x -1/2)))) (sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2))) (/.f64 (-.f64 2 (*.f64 x (*.f64 x -1/2))) (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3)))) (/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 2 (*.f64 x (*.f64 x -1/2)))) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2)))) (/.f64 (-.f64 2 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) 1) (+.f64 (*.f64 x (*.f64 x -1/2)) -2))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) 1) 2) 1) (+.f64 (*.f64 x (*.f64 x -1/2)) 2))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) 1) 3) 1) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) 1) 2) (+.f64 (*.f64 x (*.f64 x -1/2)) 2)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2))) (neg.f64 (-.f64 2 (*.f64 x (*.f64 x -1/2)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 2 (*.f64 x (*.f64 x -1/2))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2)) 1) (-.f64 2 (*.f64 x (*.f64 x -1/2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2)) (sqrt.f64 (-.f64 2 (*.f64 x (*.f64 x -1/2))))) (sqrt.f64 (-.f64 2 (*.f64 x (*.f64 x -1/2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2)) (*.f64 (cbrt.f64 (-.f64 2 (*.f64 x (*.f64 x -1/2)))) (cbrt.f64 (-.f64 2 (*.f64 x (*.f64 x -1/2)))))) (cbrt.f64 (-.f64 2 (*.f64 x (*.f64 x -1/2)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3)) 1) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 2 (*.f64 x (*.f64 x -1/2)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 2 (*.f64 x (*.f64 x -1/2)))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 2 (*.f64 x (*.f64 x -1/2))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 2 (*.f64 x (*.f64 x -1/2))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 2 (*.f64 x (*.f64 x -1/2))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 2 (*.f64 x (*.f64 x -1/2))))))
(pow.f64 (*.f64 x (*.f64 x -1/2)) 1)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) x) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/2))))
(fma.f64 1 (fma.f64 x (*.f64 x -1/2) -1) 1)
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 1)
(*.f64 1 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))
(*.f64 (fma.f64 x (*.f64 x -1/2) 1) (/.f64 1 (+.f64 1 x)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 1)
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (/.f64 1 (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 2) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) 1) 2)) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) (/.f64 1 (+.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 1 x)) (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x -1/2) 1)) (/.f64 1 (-.f64 -1 x)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(*.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))
(*.f64 (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) 1) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (+.f64 1 x)))
(*.f64 (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) 1) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) (+.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) 1) 2)) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) 1) 2)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) -1)
(neg.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (-.f64 -1 x)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) 1) 3) (pow.f64 (+.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))) (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))) 1)
(*.f64 1 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(*.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 1)
(*.f64 (sqrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) (sqrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(pow.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 2))
(log.f64 (exp.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(exp.f64 (log.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
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 -1/2 x)
(+.f64 1/2 (*.f64 -1/2 x))
(fma.f64 -1/2 x 1/2)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 -1/2 x)))
(+.f64 (+.f64 1/2 (*.f64 -1/2 x)) (/.f64 1/2 x))
(+.f64 (fma.f64 -1/2 x 1/2) (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 -1/2 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 1/2 (*.f64 -1/2 x)) (/.f64 1/2 (*.f64 x x))))
(+.f64 (fma.f64 -1/2 x 1/2) (+.f64 (/.f64 1/2 x) (/.f64 -1/2 (*.f64 x x))))
(*.f64 -1/2 x)
(+.f64 1/2 (*.f64 -1/2 x))
(fma.f64 -1/2 x 1/2)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 -1/2 x)))
(+.f64 (+.f64 1/2 (*.f64 -1/2 x)) (/.f64 1/2 x))
(+.f64 (fma.f64 -1/2 x 1/2) (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 -1/2 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 1/2 (*.f64 -1/2 x)) (/.f64 1/2 (*.f64 x x))))
(+.f64 (fma.f64 -1/2 x 1/2) (+.f64 (/.f64 1/2 x) (/.f64 -1/2 (*.f64 x x))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))) (-.f64 1 (*.f64 -1 x))))
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(*.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) 1) 2)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1)))))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 1)
(/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1))
(/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 2)
(/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1))
(/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 3)
(/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1))
(/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 3) 1/3)
(/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1))
(/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1))
(pow.f64 (/.f64 (+.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) -1)
(/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1))
(/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (-.f64 -1 x)))
(*.f64 (neg.f64 (fma.f64 x (*.f64 -1/2 x) 1)) (/.f64 1 (-.f64 -1 x)))
(/.f64 (neg.f64 (fma.f64 -1/2 (*.f64 x x) 1)) (-.f64 -1 x))
(/.f64 (+.f64 -1 (*.f64 x (*.f64 x 1/2))) (-.f64 -1 x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 2))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1)) 2))
(fabs.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1)))
(log.f64 (exp.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1))
(/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1))
(/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)) 3))
(/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1))
(/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) 1) 3) (pow.f64 (+.f64 1 x) 3)))
(/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1))
(/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1))
(/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1))
(exp.f64 (-.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))) (log1p.f64 x)))
(exp.f64 (-.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x))) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))) (log1p.f64 x)) 1))
(exp.f64 (-.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x))) (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1))
(/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))) 1)
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1)))
(*.f64 1 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1)))
(*.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 1)
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1)))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) (sqrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 2))
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1)))
(pow.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 1)
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1)))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 2)
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1)))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 3)
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 3) 1/3)
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1)))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 2))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1))) 2))
(fabs.f64 (atan.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1))))
(log.f64 (exp.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1)))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1)))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x))) 3))
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1)))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1)))
(exp.f64 (log.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1)))
(exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))) 1))
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1)))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (+.f64 1 x)))))
(atan.f64 (/.f64 (fma.f64 x (*.f64 -1/2 x) 1) (+.f64 x 1)))
(atan.f64 (/.f64 (fma.f64 -1/2 (*.f64 x x) 1) (+.f64 x 1)))

localize18.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 35 to 29 computations (17.1% saved)

series1.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite59.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

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

simplify58.0ms (0.9%)

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

Useful iterations: 1 (0.0ms)

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

eval489.0ms (7.4%)

Compiler

Compiled 16852 to 12547 computations (25.5% saved)

prune171.0ms (2.6%)

Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New6261627
Fresh000
Picked011
Done189
Total62710637
Error
0b
Counts
637 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.4b
(*.f64 2 (/.f64 1 (/.f64 1 (atan.f64 (-.f64 1 x)))))
✓0.4b
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
✓0.2b
(*.f64 2 (atan.f64 (/.f64 (+.f64 1 (+.f64 1 (-.f64 (*.f64 x (*.f64 x -1/2)) 1))) (+.f64 1 x))))
✓0.2b
(*.f64 2 (atan.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (+.f64 1 x))))
✓0.2b
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 (*.f64 1/2 x) x)))))
✓0.4b
(*.f64 2 (atan.f64 (-.f64 1 x)))
✓0.0b
(*.f64 2 (atan.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)))))
0.2b
(*.f64 2 (atan.f64 (*.f64 (+.f64 1 (*.f64 x x)) (+.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)))))
✓1.3b
(*.f64 2 (atan.f64 1))
Compiler

Compiled 134 to 109 computations (18.7% saved)

regimes49.0ms (0.8%)

Counts
16 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(*.f64 2 (/.f64 1 (/.f64 1 (atan.f64 (-.f64 1 x)))))
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 (*.f64 1/2 x) x)))))
(*.f64 2 (atan.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (+.f64 1 x))))
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))))
(*.f64 2 (atan.f64 (*.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (-.f64 (*.f64 x (*.f64 x -1/2)) x)))))
(*.f64 2 (atan.f64 (/.f64 (+.f64 1 (+.f64 1 (-.f64 (*.f64 x (*.f64 x -1/2)) 1))) (+.f64 1 x))))
(*.f64 2 (atan.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 1 (-.f64 (*.f64 x (*.f64 x -1/2)) x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x))))
(*.f64 2 (atan.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)))))
(*.f64 2 (log.f64 (exp.f64 (atan.f64 (-.f64 1 x)))))
(*.f64 2 (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)))
(*.f64 2 (log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
Outputs
(*.f64 2 (atan.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)))))
Calls

5 calls:

29.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
7.0ms
x
3.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
3.0ms
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
3.0ms
(/.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 250 to 194 computations (22.4% saved)

regimes25.0ms (0.4%)

Counts
12 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(*.f64 2 (/.f64 1 (/.f64 1 (atan.f64 (-.f64 1 x)))))
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 (*.f64 1/2 x) x)))))
(*.f64 2 (atan.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (+.f64 1 x))))
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))))
(*.f64 2 (atan.f64 (*.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (-.f64 (*.f64 x (*.f64 x -1/2)) x)))))
(*.f64 2 (atan.f64 (/.f64 (+.f64 1 (+.f64 1 (-.f64 (*.f64 x (*.f64 x -1/2)) 1))) (+.f64 1 x))))
(*.f64 2 (atan.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 1 (-.f64 (*.f64 x (*.f64 x -1/2)) x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x))))
Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Calls

5 calls:

10.0ms
x
3.0ms
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
2.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
2.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))
2.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.0b1(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
0.0b1(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0b1(/.f64 (-.f64 1 x) (+.f64 1 x))
Compiler

Compiled 194 to 150 computations (22.7% saved)

regimes9.0ms (0.1%)

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

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
0.2b1x
Compiler

Compiled 131 to 101 computations (22.9% saved)

regimes9.0ms (0.1%)

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

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
0.2b1x
Compiler

Compiled 93 to 72 computations (22.6% saved)

regimes6.0ms (0.1%)

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

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
0.2b1x
Compiler

Compiled 59 to 49 computations (16.9% saved)

regimes7.0ms (0.1%)

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

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
0.2b1x
Compiler

Compiled 45 to 38 computations (15.6% saved)

regimes5.0ms (0.1%)

Accuracy

Total -1.0b remaining (-245%)

Threshold costs -1.0b (-245%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
0.4b1x
Compiler

Compiled 33 to 29 computations (12.1% saved)

simplify25.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
104×distribute-lft-neg-in
88×*-commutative
64×+-commutative
46×distribute-rgt-neg-in
36×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051300
192300
2122300
3150300
4184300
5198300
6220300
7241300
8268300
9294300
10308300
11312300
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (/.f64 (+.f64 1 (+.f64 1 (-.f64 (*.f64 x (*.f64 x -1/2)) 1))) (+.f64 1 x))))
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))))
(*.f64 2 (atan.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (+.f64 1 x))))
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 (*.f64 1/2 x) x)))))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 1))
Outputs
(*.f64 2 (atan.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (/.f64 (+.f64 1 (+.f64 1 (-.f64 (*.f64 x (*.f64 x -1/2)) 1))) (+.f64 1 x))))
(*.f64 2 (atan.f64 (/.f64 (+.f64 1 (+.f64 1 (+.f64 (*.f64 x (*.f64 x -1/2)) -1))) (+.f64 1 x))))
(*.f64 2 (atan.f64 (/.f64 (+.f64 1 (+.f64 1 (+.f64 -1 (*.f64 x (*.f64 x -1/2))))) (+.f64 1 x))))
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))))
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x -1/2) 1/2)) x))))
(*.f64 2 (atan.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (+.f64 1 x))))
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 x x) 1/2)) (+.f64 1 x))))
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 (*.f64 1/2 x) x)))))
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 x (*.f64 x 1/2))))))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 1))
Compiler

Compiled 110 to 88 computations (20% saved)

soundness0.0ms (0%)

end78.0ms (1.2%)

Compiler

Compiled 103 to 79 computations (23.3% saved)

Profiling

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