Details

Time bar (total: 4.3s)

analyze6.0ms (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 (24%)

Results
1.0s8256×body256valid
1.0ms15×body256invalid
Bogosity

preprocess65.0ms (1.5%)

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)

simplify59.0ms (1.4%)

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

Useful iterations: 0 (0.0ms)

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

eval0.0ms (0%)

Compiler

Compiled 12 to 10 computations (16.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Compiled 12 to 10 computations (16.7% saved)

localize19.0ms (0.4%)

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))))

rewrite112.0ms (2.6%)

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)))))))))

simplify94.0ms (2.2%)

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)))

eval102.0ms (2.4%)

Compiler

Compiled 5581 to 4317 computations (22.6% saved)

prune39.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2665271
Fresh000
Picked011
Done000
Total2666272
Error
0b
Counts
272 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
▶0.0b
(*.f64 2 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x))))
▶0.3b
(*.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 142 to 112 computations (21.1% saved)

localize20.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiled 55 to 33 computations (40% saved)

series2.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite75.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
1642×associate-*r/
1294×associate-*l/
1260×associate-/r*
1126×associate-/l*
1056×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01179
123779
2323367
Stop Event
1×node limit
Counts
3 → 97
Calls
Call 1
Inputs
(atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (neg.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(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 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))))) (#(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 1 x)) (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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simplify71.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1582×associate-/r*
1010×times-frac
926×associate-/l*
652×unswap-sqr
566×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02774895
16564455
223664417
Stop Event
1×node limit
Counts
133 → 191
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 -1/2 (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 (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 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (neg.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 (neg.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(-.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) -1/2))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x 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 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) -1/2) (-.f64 1 x))
(*.f64 (+.f64 -1 x) (/.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 1 x)) 1))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1))
(*.f64 (/.f64 (-.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 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (/.f64 (-.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (-.f64 1 x) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 1 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 -1 x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (/.f64 (cbrt.f64 (-.f64 1 x)) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) -1)
(neg.f64 (/.f64 (-.f64 1 x) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (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 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)))
(*.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 4))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (pow.f64 x 4)))) (cbrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) 1) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) 1) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 6))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(pow.f64 (-.f64 1 (*.f64 x x)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.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 (-.f64 1 x) (*.f64 (*.f64 x 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 1 (-.f64 (fma.f64 -1/2 (pow.f64 x 3) (*.f64 (*.f64 x x) 1/2)) x))
(+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(+.f64 (/.f64 (sqrt.f64 -1) x) (*.f64 -1 (sqrt.f64 -1)))
(+.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 (sqrt.f64 -1) x))
(-.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1))
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 -1))))
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (-.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))))
(+.f64 (-.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 -1)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))
(+.f64 (/.f64 (sqrt.f64 -1) x) (-.f64 (+.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (-.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (sqrt.f64 -1)) (+.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 -1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (/.f64 (sqrt.f64 -1) x) (-.f64 (/.f64 1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 x 3)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (/.f64 (neg.f64 (sqrt.f64 -1)) x))
(-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x))
(-.f64 (+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 -1) (/.f64 (neg.f64 (sqrt.f64 -1)) x)) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))))
(+.f64 (-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)) (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))))
(-.f64 (sqrt.f64 -1) (-.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (sqrt.f64 -1) (-.f64 (+.f64 (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 (neg.f64 (sqrt.f64 -1)) x)) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (-.f64 (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) x)) (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (-.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 x 3)) (/.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (*.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 (fma.f64 (*.f64 x x) -1/2 1) (*.f64 -1/8 (pow.f64 x 4)))
(+.f64 1 (fma.f64 (*.f64 x x) -1/2 (*.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 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/16 (pow.f64 x 6) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 (fma.f64 (*.f64 x x) -1/2 1) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 -1/16 (pow.f64 x 6))))
(*.f64 (sqrt.f64 -1) x)
(*.f64 x (sqrt.f64 -1))
(+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))
(+.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x))
(fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(-.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 1/2 (*.f64 x (sqrt.f64 -1))) (-.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x) (fma.f64 x (sqrt.f64 -1) (/.f64 -1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (fma.f64 x (sqrt.f64 -1) (/.f64 1/8 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(-.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 (+.f64 (+.f64 (*.f64 x (sqrt.f64 -1)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)) (-.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (/.f64 1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (fma.f64 x (sqrt.f64 -1) (/.f64 1/8 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))))
(*.f64 -1 (*.f64 (sqrt.f64 -1) x))
(*.f64 (neg.f64 (sqrt.f64 -1)) x)
(*.f64 (neg.f64 x) (sqrt.f64 -1))
(-.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) x))))
(-.f64 (*.f64 (neg.f64 (sqrt.f64 -1)) x) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)))
(-.f64 (/.f64 -1/2 (*.f64 x (sqrt.f64 -1))) (*.f64 x (sqrt.f64 -1)))
(-.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 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (-.f64 (*.f64 (neg.f64 (sqrt.f64 -1)) x) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))))
(fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x))))
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(*.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 (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 (cbrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.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 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(/.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 1 (sqrt.f64 (-.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (fma.f64 x x (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 (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 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (fma.f64 x x 1))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))))) (cbrt.f64 (-.f64 1 (pow.f64 x 6))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 6))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 4)))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) 1) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) 1) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (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 (cbrt.f64 (-.f64 1 (pow.f64 x 4))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (fma.f64 x x 1))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 6))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))))) (cbrt.f64 (-.f64 1 (pow.f64 x 6))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 6))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (+.f64 1 (fma.f64 x x (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 (log.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (-.f64 1 (*.f64 x x)))

localize8.0ms (0.2%)

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))

rewrite51.0ms (1.2%)

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

Useful iterations: 0 (0.0ms)

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

simplify58.0ms (1.4%)

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 (0.5%)

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)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite61.0ms (1.4%)

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)))))))))

simplify69.0ms (1.6%)

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 (0.6%)

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

rewrite77.0ms (1.8%)

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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simplify69.0ms (1.6%)

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)))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)) (*.f64 x x)) (+.f64 1/2 (*.f64 1/2 x)))
(*.f64 (/.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/2 x))) (-.f64 1/4 (*.f64 x (*.f64 x 1/4))))
(*.f64 (+.f64 1/4 (*.f64 (*.f64 x x) -1/4)) (/.f64 (*.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 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 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 (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))

localize21.0ms (0.5%)

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)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite71.0ms (1.7%)

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
01162
123562
2316550
Stop Event
1×node limit
Counts
2 → 88
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)))
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 (sqrt.f64 (-.f64 1 (*.f64 x x))) (exp.f64 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) 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simplify73.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1246×associate-/l*
870×associate-/r*
836×distribute-lft-in
800×*-commutative
730×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02714956
17494568
227074508
Stop Event
1×node limit
Counts
112 → 156
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)))))
(-.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))))))
Outputs
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))
(+.f64 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 1 (-.f64 (fma.f64 -1/2 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x))
(+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (neg.f64 (/.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 (sqrt.f64 -1) (+.f64 (neg.f64 (/.f64 (sqrt.f64 -1) x)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))))))
(+.f64 (sqrt.f64 -1) (+.f64 (-.f64 (/.f64 (/.f64 1/2 (*.f64 x x)) (sqrt.f64 -1)) (/.f64 (sqrt.f64 -1) x)) (/.f64 (sqrt.f64 -1) (*.f64 x x))))
(-.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (-.f64 (*.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)))
(-.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 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (-.f64 (+.f64 (sqrt.f64 -1) (fma.f64 -1 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (+.f64 (neg.f64 (/.f64 (sqrt.f64 -1) x)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x)))))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (+.f64 (sqrt.f64 -1) (-.f64 (-.f64 (/.f64 (/.f64 1/2 (*.f64 x x)) (sqrt.f64 -1)) (/.f64 (sqrt.f64 -1) x)) (/.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (/.f64 -1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (-.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))) (-.f64 (*.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))) (/.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 -1/2 (sqrt.f64 -1))) (pow.f64 x 3)))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(+.f64 (/.f64 (sqrt.f64 -1) x) (*.f64 -1 (sqrt.f64 -1)))
(+.f64 (/.f64 (sqrt.f64 -1) x) (neg.f64 (sqrt.f64 -1)))
(-.f64 (/.f64 (sqrt.f64 -1) x) (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 (fma.f64 -1 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 (/.f64 (sqrt.f64 -1) x) (neg.f64 (sqrt.f64 -1)))) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))))
(+.f64 (-.f64 (-.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (/.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))))
(+.f64 (-.f64 (*.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))))
(-.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)))))
(-.f64 (fma.f64 -1 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 (/.f64 (sqrt.f64 -1) x) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (sqrt.f64 -1))) (pow.f64 x 3)) (neg.f64 (sqrt.f64 -1))))) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))))
(+.f64 (-.f64 (-.f64 (-.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 -1/2 (sqrt.f64 -1))) (pow.f64 x 3))) (sqrt.f64 -1)) (/.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))))
(+.f64 (-.f64 (-.f64 (*.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) (/.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 -1/2 (sqrt.f64 -1))) (pow.f64 x 3))) (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (*.f64 x x))))
(atan.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(atan.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)))
(atan.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(atan.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)))
(atan.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(atan.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)))
(atan.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(atan.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 (+.f64 1 x))))
(atan.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 (+.f64 1 x))))
(atan.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 (+.f64 1 x))))
(atan.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 (+.f64 1 x))))
(atan.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)
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(*.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 1 (-.f64 (*.f64 x x) x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 (pow.f64 x 3))))
(*.f64 (-.f64 (fma.f64 x x 1) x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 (pow.f64 x 3))))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1) (-.f64 (*.f64 x x) 1)) (-.f64 x 1))
(*.f64 (-.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 (fma.f64 x x -1) (+.f64 -1 x)))
(*.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 1 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 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 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (sqrt.f64 (+.f64 1 x)) (hypot.f64 1 (pow.f64 x 3/2)))) (sqrt.f64 (-.f64 (fma.f64 x x 1) 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 x))) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (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))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (-.f64 (fma.f64 x x 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 (fma.f64 x x 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 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3) 1/3)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) -1)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 -1 x)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 -1 (+.f64 1 x)))
(/.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)))))
(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 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))
(fabs.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))

eval324.0ms (7.6%)

Compiler

Compiled 12524 to 9646 computations (23% saved)

prune123.0ms (2.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New5863589
Fresh000
Picked101
Done145
Total5887595
Error
0b
Counts
595 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.2b
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 (*.f64 x x) -1/2)))))
✓0.0b
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
▶0.2b
(*.f64 2 (atan.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (+.f64 1 x))))
✓0.3b
(*.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 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
▶1.1b
(*.f64 2 (atan.f64 1))
Compiler

Compiled 81 to 66 computations (18.5% saved)

localize4.0ms (0.1%)

Compiler

Compiled 9 to 9 computations (0% saved)

localize32.0ms (0.8%)

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
(atan.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (+.f64 1 x)))

rewrite69.0ms (1.6%)

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))))))))

simplify84.0ms (2%)

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))

localize42.0ms (1%)

Local error

Found 3 expressions with local error:

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

Compiled 60 to 38 computations (36.7% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite84.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
1798×associate-*r/
1500×associate-*l/
1162×associate-/r*
284×associate-+l+
266×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01266
125958
2349858
Stop Event
1×node limit
Counts
2 → 55
Calls
Call 1
Inputs
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 (*.f64 x x) -1/2))))
(/.f64 (-.f64 1 x) (+.f64 1 (*.f64 (*.f64 x x) -1/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) (sqrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 2) (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)) (neg.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 1))) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)) (/.f64 x (fma.f64 x (*.f64 x -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 2) (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 x) (/.f64 -1 (fma.f64 x (*.f64 x -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (/.f64 (-.f64 1 x) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 4)))) (-.f64 1 (*.f64 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)))) (+.f64 1 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 (*.f64 x x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (*.f64 x -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) (fma.f64 x (*.f64 x -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (/.f64 (cbrt.f64 (-.f64 1 x)) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))))) (#(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 pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 3) 1/3)))) (#(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 neg.f64 (/.f64 (-.f64 1 x) (-.f64 -1 (*.f64 (*.f64 x x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (*.f64 (*.f64 x x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (*.f64 (*.f64 x x) -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))))))

simplify72.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1316×associate-+r+
1064×associate-+l+
710×unswap-sqr
544×fma-def
544×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01792573
14502535
216712507
361342507
Stop Event
1×node limit
Counts
79 → 101
Calls
Call 1
Inputs
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))) 1)
(*.f64 1 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))
(*.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 1)
(*.f64 (sqrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) (sqrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 2) (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))
(pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 1)
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 2)
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 3)
(pow.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 2))
(log.f64 (exp.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))
(exp.f64 (log.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 1))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))
(+.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)) (neg.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 1))))
(+.f64 (neg.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 1))) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)))
(-.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)) (/.f64 x (fma.f64 x (*.f64 x -1/2) 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 1)
(*.f64 1 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))
(*.f64 (-.f64 1 x) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)))
(*.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 2) (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1))))
(*.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)) (-.f64 1 x))
(*.f64 (+.f64 -1 x) (/.f64 -1 (fma.f64 x (*.f64 x -1/2) 1)))
(*.f64 (/.f64 1 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (/.f64 (-.f64 1 x) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1))))
(*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 4)))) (-.f64 1 (*.f64 (*.f64 x x) -1/2)))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)))) (+.f64 1 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 (*.f64 x x) -1/2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (*.f64 x -1/2) 1)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) (fma.f64 x (*.f64 x -1/2) 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (/.f64 (cbrt.f64 (-.f64 1 x)) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))
(pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (-.f64 1 x)) -1)
(neg.f64 (/.f64 (-.f64 1 x) (-.f64 -1 (*.f64 (*.f64 x x) -1/2))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (*.f64 (*.f64 x x) -1/2))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (*.f64 (*.f64 x x) -1/2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))
Outputs
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))
(atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))
(atan.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 1/2 (pow.f64 x 2)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))
(-.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 x (*.f64 x 1/2))) x))
(fma.f64 -1/2 (pow.f64 x 3) (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(-.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x))
(+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 4 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 (/.f64 2 x) x)))
(+.f64 (+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x)) (/.f64 4 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 4 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 4 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 2 x) (-.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 (/.f64 2 x) x))) (/.f64 4 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x)) (+.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 -4 (pow.f64 x 4))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(-.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x))
(+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 4 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 (/.f64 2 x) x)))
(+.f64 (+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x)) (/.f64 4 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 4 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 4 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 2 x) (-.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 (/.f64 2 x) x))) (/.f64 4 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x)) (+.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 -4 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))) 1)
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))
(*.f64 1 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))
(*.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 1)
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) (sqrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 2))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 2) (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))
(pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 1)
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 2)
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 3)
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 3) 1/3)
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 2))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))
(log.f64 (exp.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 3))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))
(exp.f64 (log.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))
(exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 1))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))
(atan.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))
(+.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)) (neg.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 1))))
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))
(+.f64 (neg.f64 (/.f64 x (fma.f64 x (*.f64 x -1/2) 1))) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)))
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))
(-.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)) (/.f64 x (fma.f64 x (*.f64 x -1/2) 1)))
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))) 1)
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 1 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 (-.f64 1 x) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)))
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 1)
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1))))
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 2))
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 2) (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1))))
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/2) 1)) (-.f64 1 x))
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 (+.f64 -1 x) (/.f64 -1 (fma.f64 x (*.f64 x -1/2) 1)))
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 (/.f64 1 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (/.f64 (-.f64 1 x) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))))
(/.f64 (/.f64 (-.f64 1 x) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))))
(/.f64 (-.f64 1 x) (*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1))))
(/.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2))
(/.f64 (-.f64 1 x) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1))))
(*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 4)))) (-.f64 1 (*.f64 (*.f64 x x) -1/2)))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 4)))) (-.f64 1 (*.f64 -1/2 (*.f64 x x))))
(/.f64 (-.f64 1 x) (/.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/4)) (+.f64 1 (*.f64 x (*.f64 x 1/2)))))
(/.f64 (-.f64 1 x) (/.f64 (fma.f64 (pow.f64 x 4) -1/4 1) (fma.f64 x (*.f64 x 1/2) 1)))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)))) (+.f64 1 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 (*.f64 x x) -1/2))))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)))) (+.f64 1 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 -1/2 (*.f64 x x)))))
(*.f64 (/.f64 (-.f64 1 x) (fma.f64 -1/8 (pow.f64 x 6) 1)) (+.f64 1 (fma.f64 (pow.f64 x 4) 1/4 (*.f64 x (*.f64 x 1/2)))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 (fma.f64 x (*.f64 x 1/2) 1)) (/.f64 (fma.f64 -1/8 (pow.f64 x 6) 1) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x (*.f64 x -1/2) 1)))
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1))))
(/.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2))
(/.f64 (-.f64 1 x) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) (fma.f64 x (*.f64 x -1/2) 1)))
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (/.f64 (cbrt.f64 (-.f64 1 x)) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))))
(*.f64 (/.f64 1 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (/.f64 (-.f64 1 x) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))))
(/.f64 (/.f64 (-.f64 1 x) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))))
(/.f64 (-.f64 1 x) (*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) 1)) 2))
(pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 1)
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 2)
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))) 3)
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 3) 1/3)
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) 1) (-.f64 1 x)) -1)
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))
(neg.f64 (/.f64 (-.f64 1 x) (-.f64 -1 (*.f64 (*.f64 x x) -1/2))))
(/.f64 (neg.f64 (-.f64 1 x)) (-.f64 -1 (*.f64 -1/2 (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 1 x)) (+.f64 (*.f64 x (*.f64 x 1/2)) -1))
(/.f64 (+.f64 x -1) (fma.f64 x (*.f64 x 1/2) -1))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 2))
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))
(log.f64 (exp.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)))))
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1)) 3))
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (*.f64 (*.f64 x x) -1/2))))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (*.f64 -1/2 (*.f64 x x)))))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (*.f64 x (*.f64 x -1/2)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (*.f64 (*.f64 x x) -1/2))) 1))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (*.f64 -1/2 (*.f64 x x)))))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (*.f64 x (*.f64 x -1/2)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))))
(/.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) 1))

eval110.0ms (2.6%)

Compiler

Compiled 4383 to 3500 computations (20.1% saved)

prune33.0ms (0.8%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New2411242
Fresh000
Picked011
Done066
Total2418249
Error
0b
Counts
249 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.2b
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 (*.f64 x x) -1/2)))))
✓0.0b
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
✓0.2b
(*.f64 2 (atan.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (+.f64 1 x))))
✓0.3b
(*.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 x (*.f64 x -1/2))) (/.f64 1 (-.f64 -1 x)))))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
✓1.1b
(*.f64 2 (atan.f64 1))
Compiler

Compiled 98 to 80 computations (18.4% saved)

localize43.0ms (1%)

Local error

Found 3 expressions with local error:

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

Compiled 72 to 55 computations (23.6% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite124.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
1796×associate-*l/
798×associate-/r*
630×associate-/l*
594×associate-/r/
308×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01479
130179
2381479
Stop Event
1×node limit
Counts
3 → 224
Calls
Call 1
Inputs
(/.f64 1 (-.f64 -1 x))
(atan.f64 (*.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 (-.f64 -1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 -1 x) -1/2) (pow.f64 (-.f64 -1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 -1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 -1 x) -2)) (/.f64 -1 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 -1 x)) -1) (pow.f64 (sqrt.f64 (-.f64 -1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 -1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 x) (-.f64 1 (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 x) (-.f64 1 (pow.f64 (*.f64 x x) 3))) (+.f64 1 (+.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (fma.f64 x x (neg.f64 x))) (-.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 x 3)))) (+.f64 -1 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (fma.f64 x x (neg.f64 x))) (-.f64 -1 (pow.f64 (pow.f64 x 3) 3))) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 -1 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (neg.f64 (-.f64 1 (*.f64 x x)))) (+.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (neg.f64 (-.f64 -1 (pow.f64 x 3)))) (+.f64 1 (fma.f64 x x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (-.f64 -1 (pow.f64 x 3)))) (neg.f64 (+.f64 1 (fma.f64 x x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (+.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 (pow.f64 (neg.f64 x) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 -1 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (-.f64 -1 x) -1/2) (sqrt.f64 (-.f64 -1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (-.f64 -1 x) -1/2) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 -1 x) -2)) (cbrt.f64 (-.f64 -1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (fma.f64 x x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 -1 x) -2)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 -1 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (-.f64 -1 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 -1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (-.f64 -1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 -1) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 -1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 -1) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 -1 x))))))))
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simplify118.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
1078×associate-/l*
682×associate-*r*
642×associate-*l*
638×associate-/r*
618×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062812116
1187310572
Stop Event
1×node limit
Counts
260 → 363
Calls
Call 1
Inputs
-1
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) 1)
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (+.f64 1 x)))
(atan.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1) (+.f64 1 x))))
(atan.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1) (+.f64 1 x))))
(atan.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1) (+.f64 1 x))))
(atan.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1) (+.f64 1 x))))
(atan.f64 (/.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1) (-.f64 (*.f64 -1 x) 1)))
(atan.f64 (/.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1) (-.f64 (*.f64 -1 x) 1)))
(atan.f64 (/.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1) (-.f64 (*.f64 -1 x) 1)))
(atan.f64 (/.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1) (-.f64 (*.f64 -1 x) 1)))
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))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 -1 x)))) 1)
(*.f64 1 (/.f64 1 (-.f64 -1 x)))
(*.f64 -1 (/.f64 1 (+.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 -1 x)) 1)
(*.f64 (pow.f64 (-.f64 -1 x) -1/2) (pow.f64 (-.f64 -1 x) -1/2))
(*.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 -1 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 -1 x) -2)) (/.f64 -1 (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 1 x)) -1)
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 -1 x))
(*.f64 (/.f64 1 (-.f64 -1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x (neg.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 -1 x)) -1) (pow.f64 (sqrt.f64 (-.f64 -1 x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 -1 x)) -1))
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(/.f64 (neg.f64 (-.f64 -1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8))) (*.f64 (-.f64 -1 x) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (*.f64 x x) 1/2))))))
(/.f64 (*.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) 1) 1) (*.f64 (-.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x)))
(/.f64 (*.f64 (*.f64 (-.f64 -1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8)) 1) 1) (*.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (*.f64 x x) 1/2))) (-.f64 -1 x)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) (sqrt.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x)))) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 -1 x) -2)) (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) (cbrt.f64 (-.f64 -1 x)))
(/.f64 (*.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) 1) (/.f64 1 (-.f64 -1 x))) (-.f64 -1 (*.f64 (*.f64 x x) 1/2)))
(/.f64 (*.f64 (*.f64 (-.f64 -1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8)) 1) (/.f64 1 (-.f64 -1 x))) (+.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (*.f64 x x) 1/2))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 (*.f64 x x) 1/2))) (/.f64 1 (-.f64 -1 x))) (-.f64 -1 (*.f64 (*.f64 x x) 1/2)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (*.f64 (*.f64 x x) 1/2) 3)) (/.f64 1 (-.f64 -1 x))) (+.f64 1 (-.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 (*.f64 x x) 1/2)) (*.f64 -1 (*.f64 (*.f64 x x) 1/2)))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2))) (/.f64 1 (-.f64 -1 x))) (neg.f64 (-.f64 -1 (*.f64 (*.f64 x x) 1/2))))
(/.f64 (*.f64 (neg.f64 (-.f64 -1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8))) (/.f64 1 (-.f64 -1 x))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (*.f64 x x) 1/2)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) 2) 1) (/.f64 (-.f64 -1 x) (cbrt.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)))))
(/.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) (-.f64 -1 x)) 1) (-.f64 -1 (*.f64 (*.f64 x x) 1/2)))
(/.f64 (*.f64 (/.f64 (-.f64 -1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8)) (-.f64 -1 x)) 1) (+.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (*.f64 x x) 1/2))))
(/.f64 (*.f64 (*.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) -1) 1) (+.f64 1 x))
(/.f64 (*.f64 (*.f64 -1 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) 1) (+.f64 1 x))
(/.f64 (*.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) (/.f64 1 (-.f64 -1 x))) 1) (-.f64 -1 (*.f64 (*.f64 x x) 1/2)))
(/.f64 (*.f64 (*.f64 (-.f64 -1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8)) (/.f64 1 (-.f64 -1 x))) 1) (+.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (*.f64 x x) 1/2))))
(/.f64 (*.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (sqrt.f64 (-.f64 -1 x))) 1) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (*.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) 1) (cbrt.f64 (-.f64 -1 x)))
(/.f64 (*.f64 (*.f64 -1 (-.f64 1 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2))) 1) (*.f64 (+.f64 1 x) (-.f64 -1 (*.f64 (*.f64 x x) 1/2))))
(/.f64 (*.f64 (*.f64 -1 (-.f64 -1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8))) 1) (*.f64 (+.f64 1 x) (+.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (*.f64 x x) 1/2)))))
(/.f64 (*.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) -1) 1) (*.f64 (-.f64 -1 (*.f64 (*.f64 x x) 1/2)) (+.f64 1 x)))
(/.f64 (*.f64 (*.f64 (-.f64 -1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8)) -1) 1) (*.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (*.f64 x x) 1/2))) (+.f64 1 x)))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) 1) (+.f64 1 x))
(/.f64 (*.f64 (sqrt.f64 (-.f64 -1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8))) (*.f64 (sqrt.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) (/.f64 1 (-.f64 -1 x)))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (*.f64 x x) 1/2)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2))) (*.f64 (sqrt.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) (/.f64 1 (-.f64 -1 x)))) (sqrt.f64 (-.f64 -1 (*.f64 (*.f64 x x) 1/2))))
(/.f64 (*.f64 1 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (sqrt.f64 (-.f64 -1 x)))) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (sqrt.f64 (-.f64 -1 x)))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x)) 2))) (cbrt.f64 (-.f64 -1 x)))
(/.f64 (*.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (/.f64 -1 (cbrt.f64 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2))
(/.f64 (*.f64 1 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (cbrt.f64 (-.f64 -1 x)))) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2))
(/.f64 (*.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (+.f64 -1 x)) (-.f64 1 (*.f64 x x)))
(/.f64 (*.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (+.f64 1 (fma.f64 x x (neg.f64 x)))) (-.f64 -1 (pow.f64 x 3)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) (/.f64 (sqrt.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) (-.f64 -1 x))) 1)
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) (/.f64 (sqrt.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) (cbrt.f64 (-.f64 -1 x)))) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) 2) (/.f64 (cbrt.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) (-.f64 -1 x))) 1)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) 2) (/.f64 (cbrt.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) (sqrt.f64 (-.f64 -1 x)))) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) 2) (cbrt.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x)))) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2))
(/.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) (-.f64 -1 x)) 1) (-.f64 -1 (*.f64 (*.f64 x x) 1/2)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 (*.f64 (*.f64 x x) 1/2)))) (sqrt.f64 (-.f64 -1 (*.f64 (*.f64 x x) 1/2))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) (-.f64 -1 x)) (*.f64 (cbrt.f64 (-.f64 -1 (*.f64 (*.f64 x x) 1/2))) (cbrt.f64 (-.f64 -1 (*.f64 (*.f64 x x) 1/2))))) (cbrt.f64 (-.f64 -1 (*.f64 (*.f64 x x) 1/2))))
(/.f64 (/.f64 (/.f64 (-.f64 -1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8)) (-.f64 -1 x)) 1) (+.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (*.f64 x x) 1/2))))
(/.f64 (/.f64 (/.f64 (-.f64 -1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8)) (-.f64 -1 x)) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (*.f64 x x) 1/2))))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (*.f64 x x) 1/2)))))
(/.f64 (/.f64 (/.f64 (-.f64 -1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8)) (-.f64 -1 x)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (*.f64 x x) 1/2)))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (*.f64 x x) 1/2)))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (*.f64 x x) 1/2)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) -1) 1) (+.f64 1 x))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) -1) -1) (-.f64 -1 x))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) -1) (sqrt.f64 (-.f64 -1 x))) (neg.f64 (sqrt.f64 (-.f64 -1 x))))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) -1) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (neg.f64 (cbrt.f64 (-.f64 -1 x))))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) -1) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) -1) (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (+.f64 1 x)))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) -1) (neg.f64 (sqrt.f64 (-.f64 -1 x)))) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) -1) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2))) (cbrt.f64 (-.f64 -1 x)))
(/.f64 (/.f64 (*.f64 -1 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) 1) (+.f64 1 x))
(/.f64 (/.f64 (*.f64 -1 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) -1) (-.f64 -1 x))
(/.f64 (/.f64 (*.f64 -1 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) (sqrt.f64 (-.f64 -1 x))) (neg.f64 (sqrt.f64 (-.f64 -1 x))))
(/.f64 (/.f64 (*.f64 -1 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (neg.f64 (cbrt.f64 (-.f64 -1 x))))
(/.f64 (/.f64 (*.f64 -1 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (/.f64 (*.f64 -1 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (+.f64 1 x)))
(/.f64 (/.f64 (*.f64 -1 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) (neg.f64 (sqrt.f64 (-.f64 -1 x)))) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (/.f64 (*.f64 -1 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2))) (cbrt.f64 (-.f64 -1 x)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) (/.f64 1 (-.f64 -1 x))) 1) (-.f64 -1 (*.f64 (*.f64 x x) 1/2)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) (/.f64 1 (-.f64 -1 x))) (sqrt.f64 (-.f64 -1 (*.f64 (*.f64 x x) 1/2)))) (sqrt.f64 (-.f64 -1 (*.f64 (*.f64 x x) 1/2))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) (/.f64 1 (-.f64 -1 x))) (*.f64 (cbrt.f64 (-.f64 -1 (*.f64 (*.f64 x x) 1/2))) (cbrt.f64 (-.f64 -1 (*.f64 (*.f64 x x) 1/2))))) (cbrt.f64 (-.f64 -1 (*.f64 (*.f64 x x) 1/2))))
(/.f64 (/.f64 (*.f64 (-.f64 -1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8)) (/.f64 1 (-.f64 -1 x))) 1) (+.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (*.f64 x x) 1/2))))
(/.f64 (/.f64 (*.f64 (-.f64 -1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8)) (/.f64 1 (-.f64 -1 x))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (*.f64 x x) 1/2))))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (*.f64 x x) 1/2)))))
(/.f64 (/.f64 (*.f64 (-.f64 -1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8)) (/.f64 1 (-.f64 -1 x))) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (*.f64 x x) 1/2)))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (*.f64 x x) 1/2)))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (*.f64 x x) 1/2)))))
(/.f64 (/.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (sqrt.f64 (-.f64 -1 x))) 1) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (/.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (sqrt.f64 (-.f64 -1 x))) (cbrt.f64 (-.f64 -1 x))) (cbrt.f64 (sqrt.f64 (-.f64 -1 x))))
(/.f64 (/.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (sqrt.f64 (-.f64 -1 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 -1 x))))
(/.f64 (/.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (sqrt.f64 (-.f64 -1 x))) (sqrt.f64 (sqrt.f64 (-.f64 -1 x)))) (sqrt.f64 (sqrt.f64 (-.f64 -1 x))))
(/.f64 (/.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) 1) (cbrt.f64 (-.f64 -1 x)))
(/.f64 (/.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 -1 x)))) (sqrt.f64 (cbrt.f64 (-.f64 -1 x))))
(/.f64 (/.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2))) (cbrt.f64 (cbrt.f64 (-.f64 -1 x))))
(/.f64 (/.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 -1 x))) (cbrt.f64 (cbrt.f64 (-.f64 -1 x))))) (cbrt.f64 (cbrt.f64 (-.f64 -1 x))))
(/.f64 (/.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (cbrt.f64 (sqrt.f64 (-.f64 -1 x)))) (cbrt.f64 (sqrt.f64 (-.f64 -1 x))))
(/.f64 (/.f64 (neg.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) 1) (+.f64 1 x))
(/.f64 (/.f64 (neg.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) -1) (-.f64 -1 x))
(/.f64 (/.f64 (neg.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) (sqrt.f64 (-.f64 -1 x))) (neg.f64 (sqrt.f64 (-.f64 -1 x))))
(/.f64 (/.f64 (neg.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (neg.f64 (cbrt.f64 (-.f64 -1 x))))
(/.f64 (/.f64 (neg.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (/.f64 (neg.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (+.f64 1 x)))
(/.f64 (/.f64 (neg.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) (neg.f64 (sqrt.f64 (-.f64 -1 x)))) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (/.f64 (neg.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2))) (cbrt.f64 (-.f64 -1 x)))
(pow.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x)) 3))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (-.f64 -1 x) 3)) (pow.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) 3) (/.f64 1 (pow.f64 (-.f64 -1 x) 3))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x))))
(exp.f64 (log.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x))))
Outputs
-1
(-.f64 x 1)
(+.f64 -1 x)
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(/.f64 (/.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (cbrt.f64 (sqrt.f64 (-.f64 -1 x)))) (cbrt.f64 (sqrt.f64 (-.f64 -1 x))))
(/.f64 (/.f64 (fma.f64 1/2 (*.f64 x x) -1) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 -1 x))) (cbrt.f64 (sqrt.f64 (-.f64 -1 x)))))
(/.f64 (fma.f64 x (*.f64 x 1/2) -1) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 -1 x))) (cbrt.f64 (sqrt.f64 (-.f64 -1 x)))) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)))
(/.f64 (/.f64 (neg.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) 1) (+.f64 1 x))
(/.f64 (fma.f64 1/2 (*.f64 x x) -1) (-.f64 -1 x))
(/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x))
(/.f64 (/.f64 (neg.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) -1) (-.f64 -1 x))
(/.f64 (fma.f64 1/2 (*.f64 x x) -1) (-.f64 -1 x))
(/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x))
(/.f64 (/.f64 (neg.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) (sqrt.f64 (-.f64 -1 x))) (neg.f64 (sqrt.f64 (-.f64 -1 x))))
(/.f64 (fma.f64 1/2 (*.f64 x x) -1) (-.f64 -1 x))
(/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x))
(/.f64 (/.f64 (neg.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (neg.f64 (cbrt.f64 (-.f64 -1 x))))
(/.f64 (fma.f64 1/2 (*.f64 x x) -1) (-.f64 -1 x))
(/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x))
(/.f64 (/.f64 (neg.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (fma.f64 1/2 (*.f64 x x) -1) (-.f64 -1 x))
(/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x))
(/.f64 (/.f64 (neg.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (+.f64 1 x)))
(/.f64 (fma.f64 1/2 (*.f64 x x) -1) (-.f64 -1 x))
(/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x))
(/.f64 (/.f64 (neg.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) (neg.f64 (sqrt.f64 (-.f64 -1 x)))) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (fma.f64 1/2 (*.f64 x x) -1) (-.f64 -1 x))
(/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x))
(/.f64 (/.f64 (neg.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2))) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2))) (cbrt.f64 (-.f64 -1 x)))
(/.f64 (fma.f64 1/2 (*.f64 x x) -1) (-.f64 -1 x))
(/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x))
(pow.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x)) 1)
(/.f64 (fma.f64 1/2 (*.f64 x x) -1) (-.f64 -1 x))
(/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x))) 2)
(/.f64 (fma.f64 1/2 (*.f64 x x) -1) (-.f64 -1 x))
(/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x))) 3)
(/.f64 (fma.f64 1/2 (*.f64 x x) -1) (-.f64 -1 x))
(/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x))
(pow.f64 (pow.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x)) 3) 1/3)
(/.f64 (fma.f64 1/2 (*.f64 x x) -1) (-.f64 -1 x))
(/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x)) 2))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 (*.f64 x x) -1) (-.f64 -1 x)) 2))
(fabs.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x)))
(log.f64 (exp.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x))))
(/.f64 (fma.f64 1/2 (*.f64 x x) -1) (-.f64 -1 x))
(/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x)))))
(/.f64 (fma.f64 1/2 (*.f64 x x) -1) (-.f64 -1 x))
(/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x)) 3))
(/.f64 (fma.f64 1/2 (*.f64 x x) -1) (-.f64 -1 x))
(/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (-.f64 -1 x) 3)) (pow.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) 3)))
(/.f64 (fma.f64 1/2 (*.f64 x x) -1) (-.f64 -1 x))
(/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) 3) (/.f64 1 (pow.f64 (-.f64 -1 x) 3))))
(/.f64 (fma.f64 1/2 (*.f64 x x) -1) (-.f64 -1 x))
(/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x))))
(/.f64 (fma.f64 1/2 (*.f64 x x) -1) (-.f64 -1 x))
(/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x))
(exp.f64 (log.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x))))
(/.f64 (fma.f64 1/2 (*.f64 x x) -1) (-.f64 -1 x))
(/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x))) 1))
(/.f64 (fma.f64 1/2 (*.f64 x x) -1) (-.f64 -1 x))
(/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 (*.f64 (*.f64 x x) 1/2)) (-.f64 -1 x))))
(/.f64 (fma.f64 1/2 (*.f64 x x) -1) (-.f64 -1 x))
(/.f64 (fma.f64 x (*.f64 x 1/2) -1) (-.f64 -1 x))

eval291.0ms (6.8%)

Compiler

Compiled 9375 to 7158 computations (23.6% saved)

prune92.0ms (2.2%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New3630363
Fresh000
Picked011
Done077
Total3638371
Error
0b
Counts
371 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.2b
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (+.f64 1 (*.f64 (*.f64 x x) -1/2)))))
✓0.0b
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
✓0.2b
(*.f64 2 (atan.f64 (/.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (+.f64 1 x))))
✓0.3b
(*.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 x (*.f64 x -1/2))) (/.f64 1 (-.f64 -1 x)))))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
✓1.1b
(*.f64 2 (atan.f64 1))
Compiler

Compiled 98 to 80 computations (18.4% saved)

regimes21.0ms (0.5%)

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

5 calls:

5.0ms
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
5.0ms
x
2.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
2.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
2.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))
Results
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 161 to 123 computations (23.6% saved)

regimes37.0ms (0.9%)

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

5 calls:

22.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
5.0ms
x
2.0ms
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
2.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
2.0ms
(/.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 148 to 114 computations (23% saved)

regimes17.0ms (0.4%)

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

5 calls:

5.0ms
x
3.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))
2.0ms
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
2.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
2.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
Results
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 135 to 105 computations (22.2% saved)

regimes13.0ms (0.3%)

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

1 calls:

11.0ms
x
Results
ErrorSegmentsBranch
0.2b1x
Compiler

Compiled 85 to 65 computations (23.5% saved)

regimes5.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (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 39 to 31 computations (20.5% saved)

regimes5.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (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:

3.0ms
x
Results
ErrorSegmentsBranch
0.3b1x
Compiler

Compiled 25 to 20 computations (20% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.7b remaining (-164.3%)

Threshold costs -0.7b (-164.3%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (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 13 to 11 computations (15.4% saved)

simplify17.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
84×distribute-lft-neg-in
52×*-commutative
38×+-commutative
36×distribute-rgt-neg-in
24×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041256
169256
297256
3123256
4162256
5176256
6194256
7204256
8211256
9216256
10218256
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 2 (atan.f64 (/.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 x) (+.f64 1 (*.f64 (*.f64 x x) -1/2)))))
(*.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 x) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(*.f64 2 (atan.f64 (/.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 x) (+.f64 1 (*.f64 (*.f64 x x) -1/2)))))
(*.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 95 to 77 computations (18.9% saved)

soundness106.0ms (2.5%)

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
Compiler

Compiled 52 to 39 computations (25% saved)

end98.0ms (2.3%)

Compiler

Compiled 88 to 67 computations (23.9% saved)

Profiling

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