Details

Time bar (total: 5.7s)

analyze5.0ms (0.1%)

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

Compiled 13 to 11 computations (15.4% saved)

sample1.0s (18%)

Results
1.0s8256×body256valid
1.0ms11×body256invalid
Bogosity

preprocess71.0ms (1.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01233
12133
22733
33833
46033
58733
612833
721133
839333
964933
1093733
11124533
12177333
13220533
14270233
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify102.0ms (1.8%)

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

Useful iterations: 0 (0.0ms)

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

eval0.0ms (0%)

Compiler

Compiled 12 to 10 computations (16.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Compiled 12 to 10 computations (16.7% saved)

localize18.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite79.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
1660×associate-/r*
1150×associate-/l*
982×*-commutative
978×associate-/r/
538×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01069
121269
2285269
Stop Event
1×node limit
Counts
3 → 151
Calls
Call 1
Inputs
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
Outputs
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simplify96.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1348×associate-*r/
1110×associate-*l/
654×associate-+l+
576×+-commutative
526×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04187157
111176343
243176141
Stop Event
1×node limit
Counts
179 → 278
Calls
Call 1
Inputs
(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 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(-.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 (/.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 x (-.f64 x 1))))
(+.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (*.f64 x (-.f64 x 1))) (*.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 x (-.f64 x 1)) (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 (*.f64 x (-.f64 x 1)) (/.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 (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 (sqrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2) (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (/.f64 -1 (-.f64 -1 x)) (-.f64 1 x))
(*.f64 (+.f64 1 (*.f64 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 1 (*.f64 x (-.f64 x 1)))))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (*.f64 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 1 (*.f64 x (-.f64 x 1)))))
(*.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 (*.f64 x x)) (-.f64 1 (*.f64 x x)))) (pow.f64 (-.f64 1 x) 2))
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 1 (*.f64 x (-.f64 x 1))) (+.f64 1 (*.f64 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 1 (*.f64 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 1 (*.f64 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 1 (*.f64 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 1 (*.f64 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 1 (*.f64 x (-.f64 x 1)))))
(*.f64 (/.f64 (+.f64 1 (-.f64 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 1 (-.f64 x (fma.f64 x x x))) (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 1 (*.f64 x (-.f64 x 1))) (+.f64 1 (*.f64 x (-.f64 x 1)))))
(*.f64 (/.f64 (+.f64 1 (-.f64 x (fma.f64 x x x))) (*.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x)))) (-.f64 1 x))
(*.f64 (/.f64 (+.f64 1 (-.f64 x (fma.f64 x x x))) (*.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 x (-.f64 x 1))))
(*.f64 (/.f64 (+.f64 1 (-.f64 x (fma.f64 x x x))) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 1 x) (+.f64 1 (*.f64 x (-.f64 x 1)))))
(pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1)
(neg.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1)
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) (pow.f64 1 1/2))
(*.f64 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 1/4) (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 1/4))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 -1 (-.f64 -1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (/.f64 -1 (-.f64 -1 x)) 1/2))
(*.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 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))
(*.f64 (sqrt.f64 (/.f64 -1 (-.f64 -1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2)))
(*.f64 (/.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 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2) 1/2))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (*.f64 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 (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 (*.f64 x x))) (+.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
(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 -2 x))
(+.f64 1 (*.f64 x -2))
(fma.f64 x -2 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 x -2)))
(fma.f64 2 (*.f64 x x) (fma.f64 x -2 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 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 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 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 (fma.f64 (*.f64 x x) 1/2 (neg.f64 x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(+.f64 1 (fma.f64 (pow.f64 x 3) -1/2 (-.f64 (*.f64 x (*.f64 x 1/2)) x)))
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(*.f64 (/.f64 -1 (-.f64 -1 x)) (-.f64 1 x))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(pow.f64 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 2) 1/2)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 2))
(fabs.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))
(pow.f64 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 3) 1/3)
(*.f64 (/.f64 -1 (-.f64 -1 x)) (-.f64 1 x))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(pow.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x)) -1)
(*.f64 (/.f64 -1 (-.f64 -1 x)) (-.f64 1 x))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(neg.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x)))
(*.f64 (/.f64 -1 (-.f64 -1 x)) (-.f64 1 x))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 2))
(fabs.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))
(log.f64 (exp.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(*.f64 (/.f64 -1 (-.f64 -1 x)) (-.f64 1 x))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))
(*.f64 (/.f64 -1 (-.f64 -1 x)) (-.f64 1 x))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 3))
(*.f64 (/.f64 -1 (-.f64 -1 x)) (-.f64 1 x))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(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))))
(*.f64 (/.f64 -1 (-.f64 -1 x)) (-.f64 1 x))
(/.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 (/.f64 -1 (-.f64 -1 x)) (-.f64 1 x))
(/.f64 (+.f64 -1 x) (-.f64 -1 x))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))) 1)
(sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))
(*.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))))
(sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1)
(sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) (pow.f64 1 1/2))
(sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))
(*.f64 (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 1/4) (pow.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)) 1/4))
(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 (*.f64 (sqrt.f64 (-.f64 1 x)) 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 (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 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))
(*.f64 (sqrt.f64 (/.f64 -1 (-.f64 -1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 -1 (-.f64 -1 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(*.f64 (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 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) (-.f64 -1 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (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 1 (*.f64 x (-.f64 x 1)))))
(*.f64 (sqrt.f64 (+.f64 1 (*.f64 x (+.f64 -1 x)))) (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (fma.f64 x (+.f64 -1 x) 1))) (hypot.f64 1 (pow.f64 x 3/2)))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 -1 x) 1)) (/.f64 (sqrt.f64 (-.f64 1 x)) (hypot.f64 1 (pow.f64 x 3/2))))
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 -1 x) (+.f64 -1 x))))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 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 (*.f64 (sqrt.f64 (-.f64 1 x)) 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 (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (cbrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 x))) (/.f64 (fabs.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (cbrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.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 (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (sqrt.f64 (-.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (sqrt.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 1) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) 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)))

eval104.0ms (1.8%)

Compiler

Compiled 5765 to 4545 computations (21.2% saved)

prune44.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2735278
Fresh000
Picked011
Done000
Total2736279
Error
0b
Counts
279 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(*.f64 2 (atan.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))))
▶0.0b
(*.f64 2 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x))))
▶0.9b
(*.f64 2 (atan.f64 (-.f64 1 x)))
▶0.5b
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))))))
▶0.6b
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Compiler

Compiled 152 to 122 computations (19.7% saved)

localize19.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 55 to 33 computations (40% saved)

series2.0ms (0%)

Counts
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
@inf
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x)))

rewrite71.0ms (1.3%)

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
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simplify76.0ms (1.3%)

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)))
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(*.f64 (fma.f64 x x 1) (/.f64 (*.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (-.f64 1 (pow.f64 x 4))))
(*.f64 (fma.f64 x x 1) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 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 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 (pow.f64 x 6))) (*.f64 (-.f64 1 x) (fma.f64 x x (+.f64 1 (pow.f64 x 4)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (-.f64 1 (pow.f64 x 6))) (*.f64 (-.f64 1 x) (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(*.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 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))) 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))))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 17 to 13 computations (23.5% saved)

series0.0ms (0%)

Counts
1 → 4
Calls

3 calls:

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

rewrite53.0ms (0.9%)

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))))))))

simplify60.0ms (1.1%)

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

Useful iterations: 0 (0.0ms)

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

localize19.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite62.0ms (1.1%)

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

Useful iterations: 0 (0.0ms)

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

simplify71.0ms (1.2%)

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

Useful iterations: 2 (0.0ms)

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

localize25.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiled 72 to 47 computations (34.7% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite95.0ms (1.7%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
014103
131183
2424283
Stop Event
1×node limit
Counts
3 → 160
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)))
(atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)))))
(+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) 1) (*.f64 (*.f64 -1/2 (pow.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/2 (pow.f64 x 3)) 1) (*.f64 (*.f64 x (*.f64 x 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (/.f64 (+.f64 1/2 (*.f64 1/2 x)) (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (/.f64 (+.f64 1/4 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 -1/4 x))) (+.f64 1/8 (*.f64 -1/8 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))) (+.f64 1/2 (*.f64 1/2 x)))))) 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(*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x -1/2 1/2) (*.f64 x x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 x) (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/2 1/2))) (*.f64 x (sqrt.f64 (fma.f64 x -1/2 1/2))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))) 2) (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/2 1/2))) (-.f64 1 x))))))

simplify123.0ms (2.2%)

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

Useful iterations: 2 (0.0ms)

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

localize37.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiled 85 to 67 computations (21.2% saved)

series42.0ms (0.7%)

Counts
4 → 40
Calls

12 calls:

TimeVariablePointExpression
36.0ms
x
@0
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
1.0ms
x
@inf
(/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))
1.0ms
x
@-inf
(/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))
1.0ms
x
@0
(cbrt.f64 (sqrt.f64 (+.f64 1 x)))
1.0ms
x
@-inf
(cbrt.f64 (sqrt.f64 (+.f64 1 x)))

rewrite94.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
1098×associate-/r/
698×associate-/l/
600×distribute-rgt-in
532×distribute-lft-in
514×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014140
128890
2394390
Stop Event
1×node limit
Counts
4 → 166
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))
(cbrt.f64 (sqrt.f64 (+.f64 1 x)))
(atan.f64 (/.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)) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (exp.f64 (*.f64 -1/3 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (neg.f64 (exp.f64 (*.f64 -1/3 (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/6)) (/.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/6)) (neg.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 x) 1/4) (*.f64 (pow.f64 (-.f64 1 x) 1/4) (exp.f64 (*.f64 -1/3 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (exp.f64 (*.f64 (log1p.f64 x) 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (exp.f64 (*.f64 (log1p.f64 x) 2/3)))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (exp.f64 (*.f64 (log1p.f64 x) 2/3)))) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (exp.f64 (*.f64 -1/3 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 1/6)) (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 -1/3 (log1p.f64 x))) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (exp.f64 (*.f64 -1/3 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 1 (neg.f64 (cbrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (cbrt.f64 (+.f64 1 x))))) (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (cbrt.f64 (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (cbrt.f64 (+.f64 1 x))))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (cbrt.f64 (+.f64 1 x)))))) (neg.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (cbrt.f64 (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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exp.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))

simplify157.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
1386×distribute-rgt-in
1364×distribute-lft-in
902×associate-/r/
812×times-frac
592×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04838174
112227676
252167676
Stop Event
1×node limit
Counts
206 → 306
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -5/6 x))
(+.f64 1 (+.f64 (*.f64 -5/6 x) (*.f64 19/72 (pow.f64 x 2))))
(+.f64 (*.f64 -395/1296 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -5/6 x) (*.f64 19/72 (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 1/6 x))
(+.f64 1 (+.f64 (*.f64 1/6 x) (*.f64 -5/72 (pow.f64 x 2))))
(+.f64 (*.f64 55/1296 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 1/6 x) (*.f64 -5/72 (pow.f64 x 2)))))
(pow.f64 x 1/6)
(+.f64 (pow.f64 x 1/6) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6)))
(+.f64 (pow.f64 x 1/6) (+.f64 (*.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6)) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6))))
(+.f64 (*.f64 55/1296 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/6)) (+.f64 (pow.f64 x 1/6) (+.f64 (*.f64 -5/72 (pow.f64 (/.f64 1 (pow.f64 x 11)) 1/6)) (*.f64 1/6 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/6)))))
(exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))
(+.f64 (*.f64 -5/72 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))))
(+.f64 (*.f64 -5/72 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (*.f64 55/1296 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 1/6 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))))
(atan.f64 (*.f64 (pow.f64 1 1/6) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(atan.f64 (*.f64 (pow.f64 1 1/6) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(atan.f64 (*.f64 (pow.f64 1 1/6) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(atan.f64 (*.f64 (pow.f64 1 1/6) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(atan.f64 (*.f64 (pow.f64 1 1/6) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(atan.f64 (*.f64 (pow.f64 1 1/6) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(atan.f64 (*.f64 (pow.f64 1 1/6) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(atan.f64 (*.f64 (pow.f64 1 1/6) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(atan.f64 (*.f64 (pow.f64 1 1/6) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))))
(atan.f64 (*.f64 (pow.f64 1 1/6) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))))
(atan.f64 (*.f64 (pow.f64 1 1/6) (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))))))
(atan.f64 (*.f64 (pow.f64 1 1/6) (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 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (+.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))))) 1)
(*.f64 1 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (exp.f64 (*.f64 -1/3 (log1p.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (neg.f64 (exp.f64 (*.f64 -1/3 (log1p.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) 1)
(*.f64 (/.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/6)) (/.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/6)))
(*.f64 (/.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/6)) (neg.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/6)))))
(*.f64 (pow.f64 (-.f64 1 x) 1/4) (*.f64 (pow.f64 (-.f64 1 x) 1/4) (exp.f64 (*.f64 -1/3 (log1p.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (exp.f64 (*.f64 (log1p.f64 x) 2/3)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (exp.f64 (*.f64 (log1p.f64 x) 2/3)))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (exp.f64 (*.f64 (log1p.f64 x) 2/3)))) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))))))
(*.f64 (cbrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (exp.f64 (*.f64 -1/3 (log1p.f64 x)))))
(*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 1/6)) (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6)))
(*.f64 (exp.f64 (*.f64 -1/3 (log1p.f64 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (exp.f64 (*.f64 -1/3 (log1p.f64 x)))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 1 (neg.f64 (cbrt.f64 (+.f64 1 x)))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (cbrt.f64 (+.f64 1 x))))) (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (cbrt.f64 (+.f64 1 x)))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (cbrt.f64 (+.f64 1 x))))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (cbrt.f64 (+.f64 1 x)))))) (neg.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (cbrt.f64 (+.f64 1 x)))))))
(*.f64 (/.f64 1 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3)))) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))))
(*.f64 -1 (/.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (cbrt.f64 (+.f64 1 x)))))
(*.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/6))) (neg.f64 (/.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/6))))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (exp.f64 (*.f64 (log1p.f64 x) 2/3))))) (neg.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 1 (neg.f64 (cbrt.f64 (+.f64 1 x)))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 x) 1/4) (cbrt.f64 (+.f64 1 x))) (pow.f64 (-.f64 1 x) 1/4))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 x) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 x) 1/4) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 x) 1/4) (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3)))) (/.f64 (pow.f64 (-.f64 1 x) 1/4) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3)))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 1 (/.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (-.f64 1 x) 1/4))) (pow.f64 (-.f64 1 x) 1/4))
(*.f64 (/.f64 1 (/.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (cbrt.f64 (+.f64 1 x)))))) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (cbrt.f64 (+.f64 1 x))))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (cbrt.f64 (+.f64 1 x))))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (cbrt.f64 (+.f64 1 x))))))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (cbrt.f64 (+.f64 1 x))))))
(*.f64 (neg.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/6)))) (/.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/6)))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (exp.f64 (*.f64 (log1p.f64 x) 2/3)))))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) 1)
(pow.f64 (/.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/6)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) 3) 1/3)
(pow.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) -1)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (cbrt.f64 (+.f64 1 x)))))
(sqrt.f64 (/.f64 (-.f64 1 x) (exp.f64 (*.f64 (log1p.f64 x) 2/3))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3/2) (+.f64 1 x)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))))
(exp.f64 (-.f64 (*.f64 1/2 (log1p.f64 (neg.f64 x))) (*.f64 1/3 (log1p.f64 x))))
(exp.f64 (*.f64 (-.f64 (*.f64 1/2 (log1p.f64 (neg.f64 x))) (*.f64 1/3 (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) 1/6))) 1)
(*.f64 1 (pow.f64 (+.f64 1 x) 1/6))
(*.f64 (pow.f64 (+.f64 1 x) 1/6) 1)
(*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/6) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/6))
(*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/6) (neg.f64 (neg.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/6))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6)) (cbrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6)))))
(*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (+.f64 1 x) 1/6))) (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (+.f64 1 x) 1/6)))))
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (+.f64 1 x) 1/6))) (cbrt.f64 (neg.f64 (pow.f64 (+.f64 1 x) 1/6)))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 (+.f64 1 x) 1/6)))))
(*.f64 -1 (neg.f64 (pow.f64 (+.f64 1 x) 1/6)))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/6)) (neg.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/6)))
(*.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6))))
(*.f64 (pow.f64 1 1/3) (pow.f64 (+.f64 1 x) 1/6))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 1/3) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 1/3))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (+.f64 1 x) 1/6)))) (sqrt.f64 (neg.f64 (pow.f64 (+.f64 1 x) 1/6))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (+.f64 1 x) 1/6))) (cbrt.f64 (neg.f64 (pow.f64 (+.f64 1 x) 1/6))))) (cbrt.f64 (neg.f64 (pow.f64 (+.f64 1 x) 1/6))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/6))) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/6))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))))) (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6)))
(pow.f64 (+.f64 1 x) 1/6)
(pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2)
(pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/3)
(pow.f64 (pow.f64 (+.f64 1 x) 1/6) 1)
(pow.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/6) 2)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6)) 3)
(neg.f64 (neg.f64 (pow.f64 (+.f64 1 x) 1/6)))
(sqrt.f64 (cbrt.f64 (+.f64 1 x)))
(fabs.f64 (pow.f64 (+.f64 1 x) 1/6))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 x) 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) 1/6))))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 x) 1/6)))
(exp.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) 1/6)))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)
(*.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(*.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(*.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)
(pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)
(pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))
(log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))
(cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1))
(log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(-.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 x)) (*.f64 (exp.f64 (*.f64 -1/3 (log1p.f64 x))) (/.f64 1 (pow.f64 (+.f64 1 x) 1/6))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (/.f64 1 (pow.f64 (+.f64 1 x) 1/6)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/6)) (*.f64 (/.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/6)) (/.f64 1 (pow.f64 (+.f64 1 x) 1/6))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/6)) (/.f64 (pow.f64 (-.f64 1 x) 1/4) (cbrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (exp.f64 (*.f64 (log1p.f64 x) 2/3)))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (/.f64 1 (pow.f64 (+.f64 1 x) 1/6))))
(*.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 1/6)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
(*.f64 (exp.f64 (*.f64 -1/3 (log1p.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (cbrt.f64 (+.f64 1 x)))) (/.f64 1 (neg.f64 (pow.f64 (+.f64 1 x) 1/6))))
(*.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/6)) (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/6) (cbrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6)) (cbrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6)) (exp.f64 (*.f64 -1/3 (log1p.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (/.f64 (exp.f64 (*.f64 -1/3 (log1p.f64 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6))))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 1 (neg.f64 (pow.f64 (+.f64 1 x) 1/6))) (/.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (cbrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 x) 1/4) (cbrt.f64 (+.f64 1 x))) (/.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/6)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/6)) (/.f64 (exp.f64 (*.f64 -1/3 (log1p.f64 x))) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/6)))
(*.f64 (/.f64 (/.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/6)) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (/.f64 (/.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/6)) (cbrt.f64 (pow.f64 (+.f64 1 x) 1/6))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (exp.f64 (*.f64 (log1p.f64 x) 2/3)))) 1) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (pow.f64 (+.f64 1 x) 1/6)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (exp.f64 (*.f64 (log1p.f64 x) 2/3)))) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/6)) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/6)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (exp.f64 (*.f64 (log1p.f64 x) 2/3)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (+.f64 1 x) 1/6) (sqrt.f64 (-.f64 1 x)))) (exp.f64 (*.f64 -1/3 (log1p.f64 x))))
(*.f64 (/.f64 1 (*.f64 (/.f64 (pow.f64 (+.f64 1 x) 1/6) (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (+.f64 1 x) 1/6))) (/.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/6)))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (/.f64 (-.f64 1 x) (exp.f64 (*.f64 (log1p.f64 x) 2/3)))))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (-.f64 1 x) 1/4) (hypot.f64 1 (sqrt.f64 x))) (pow.f64 (-.f64 1 x) 1/4))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (exp.f64 (*.f64 (log1p.f64 x) 2/3)))) (pow.f64 (+.f64 1 x) 1/6)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (hypot.f64 1 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 1/6)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 1/6)) (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) 2/3)))) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 1/6)) (neg.f64 (cbrt.f64 (+.f64 1 x)))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 1/6)) (/.f64 (cbrt.f64 (+.f64 1 x)) (pow.f64 (-.f64 1 x) 1/4))) (pow.f64 (-.f64 1 x) 1/4))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 1/6)) (/.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (pow.f64 (+.f64 1 x) 1/6))) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (pow.f64 (+.f64 1 x) 1/6))) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6)) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 x)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) -1)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (neg.f64 (hypot.f64 1 (sqrt.f64 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 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Outputs
1
(+.f64 1 (*.f64 -5/6 x))
(fma.f64 -5/6 x 1)
(+.f64 1 (+.f64 (*.f64 -5/6 x) (*.f64 19/72 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -5/6 x (*.f64 19/72 (*.f64 x x))))
(+.f64 (fma.f64 -5/6 x 1) (*.f64 x (*.f64 x 19/72)))
(+.f64 (*.f64 -395/1296 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -5/6 x) (*.f64 19/72 (pow.f64 x 2)))))
(fma.f64 -395/1296 (pow.f64 x 3) (+.f64 1 (fma.f64 -5/6 x (*.f64 19/72 (*.f64 x x)))))
(fma.f64 -395/1296 (pow.f64 x 3) (+.f64 (fma.f64 -5/6 x 1) (*.f64 x (*.f64 x 19/72))))
1
(+.f64 1 (*.f64 1/6 x))
(+.f64 1 (*.f64 x 1/6))
(fma.f64 x 1/6 1)
(+.f64 1 (+.f64 (*.f64 1/6 x) (*.f64 -5/72 (pow.f64 x 2))))
(+.f64 1 (fma.f64 1/6 x (*.f64 (*.f64 x x) -5/72)))
(+.f64 (fma.f64 x 1/6 1) (*.f64 x (*.f64 x -5/72)))
(+.f64 (*.f64 55/1296 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 1/6 x) (*.f64 -5/72 (pow.f64 x 2)))))
(fma.f64 55/1296 (pow.f64 x 3) (+.f64 1 (fma.f64 1/6 x (*.f64 (*.f64 x x) -5/72))))
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1
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(*.f64 (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (pow.f64 (+.f64 1 x) 1/6)) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (pow.f64 (+.f64 1 x) 1/6))) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(*.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))) (/.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 (+.f64 1 x) 1/6)))))
(*.f64 (cbrt.f64 (+.f64 1 (fma.f64 x x (neg.f64 x)))) (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 (pow.f64 x 3))))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (pow.f64 (+.f64 1 x) 1/6))) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 (+.f64 1 x) 1/6)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6))) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6)) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(*.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))) (/.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 (+.f64 1 x) 1/6)))))
(*.f64 (cbrt.f64 (+.f64 1 (fma.f64 x x (neg.f64 x)))) (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (pow.f64 (+.f64 1 x) 1/6) (cbrt.f64 (+.f64 1 (pow.f64 x 3))))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 (+.f64 1 x) 1/6)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) 1/6))) (cbrt.f64 (-.f64 1 (*.f64 x 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 x)) (neg.f64 (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 1 (/.f64 (sqrt.f64 (-.f64 1 x)) (hypot.f64 1 (sqrt.f64 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 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(pow.f64 (exp.f64 1/2) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))
(pow.f64 (exp.f64 1/2) (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))

eval458.0ms (8.1%)

Compiler

Compiled 18694 to 14364 computations (23.2% saved)

prune210.0ms (3.7%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New7444748
Fresh000
Picked101
Done145
Total7468754
Error
0b
Counts
754 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.9b
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
▶0.8b
(*.f64 2 (atan.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (+.f64 1 (*.f64 x 1/6)))))
✓0.0b
(*.f64 2 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x))))
✓0.9b
(*.f64 2 (atan.f64 (-.f64 1 x)))
✓0.5b
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))))))
▶0.6b
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) 1/2))))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
▶1.6b
(*.f64 2 (atan.f64 1))
Compiler

Compiled 98 to 81 computations (17.3% saved)

localize4.0ms (0.1%)

Compiler

Compiled 9 to 9 computations (0% saved)

localize54.0ms (1%)

Local error

Found 3 expressions with local error:

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

Compiled 47 to 28 computations (40.4% saved)

series1.0ms (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
@0
(atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) 1/2)))
0.0ms
x
@inf
(+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) 1/2))
0.0ms
x
@inf
(atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) 1/2)))

rewrite133.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
1026×*-commutative
816×associate-*r/
756×distribute-lft-in
748×associate-*l/
744×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01167
123559
2309159
Stop Event
1×node limit
Counts
3 → 135
Calls
Call 1
Inputs
(atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) 1/2)
(+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) 1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) (sqrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (fma.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 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/2)))) 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 1/8 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x)))))) (#(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 1/8 (pow.f64 (*.f64 x x) 3)))))) (#(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 log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 x (*.f64 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 x) (*.f64 (*.f64 x (*.f64 x 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 x) (*.f64 (*.f64 x 1/2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 x) (*.f64 1/2 (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 x) (*.f64 (*.f64 x (sqrt.f64 1/2)) (neg.f64 (*.f64 x (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 x) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (neg.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 x) (neg.f64 (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (fma.f64 (neg.f64 (*.f64 x (*.f64 x 1/2))) 1 (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (fma.f64 (neg.f64 (*.f64 x 1/2)) x (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (fma.f64 -1/2 (*.f64 x x) (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (fma.f64 (neg.f64 (*.f64 x x)) 1/2 (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (fma.f64 (neg.f64 (*.f64 x (sqrt.f64 1/2))) (*.f64 x (sqrt.f64 1/2)) (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2)))) (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 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(#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (/.f64 1 (+.f64 1 x))) (/.f64 x (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (/.f64 1 (+.f64 1 (fma.f64 x x x)))) (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) 0) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) (sqrt.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 2) 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simplify108.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1546×associate-+r+
1510×associate-+l+
882×+-commutative
630×associate-+r-
624×associate-+l-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03638945
110647701
250597701
Stop Event
1×node limit
Counts
171 → 215
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 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(*.f64 1/2 (pow.f64 x 2))
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(*.f64 1 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))
(*.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 1)
(*.f64 (sqrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) (sqrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))))
(*.f64 (cbrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))))
(pow.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 2))
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(cbrt.f64 (pow.f64 (atan.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 3))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/2)))) 1)
(pow.f64 (*.f64 x (*.f64 x 1/2)) 1)
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(-.f64 (+.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) 0) x)
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(*.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 1/8 (pow.f64 (*.f64 x x) 3))) (/.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))))))
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(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 1/4 (pow.f64 x 4))) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 1/8 (pow.f64 (*.f64 x x) 3))) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))))
(/.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))) (/.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))) (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 1/4 (pow.f64 x 4)))) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)) (sqrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 1/4 (pow.f64 x 4))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 1/8 (pow.f64 (*.f64 x x) 3)))) (/.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 1/8 (pow.f64 (*.f64 x x) 3))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 1/4 (pow.f64 x 4)))) (cbrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 1/4 (pow.f64 x 4))))) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)) (cbrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 1/4 (pow.f64 x 4))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 1/8 (pow.f64 (*.f64 x x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 1/8 (pow.f64 (*.f64 x x) 3))))) (/.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 1/8 (pow.f64 (*.f64 x x) 3))))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 1 x) 2)) (+.f64 (-.f64 (*.f64 x (*.f64 x 1/2)) 1) x))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (*.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (*.f64 1/8 (pow.f64 (*.f64 x x) 3)))) (*.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))) (-.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 1/8 (pow.f64 (*.f64 x x) 3)))))
(/.f64 (-.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 x (*.f64 (*.f64 x x) -1/2)))) (+.f64 (+.f64 1 x) (*.f64 (*.f64 x x) -1/2)))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 1 x) 2)) (*.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 1/4 (pow.f64 x 4)))) (*.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 1 x) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 1 x) 3) 3) (pow.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) 3)) (*.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))) (-.f64 (+.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (*.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (*.f64 1/8 (pow.f64 (*.f64 x x) 3)))) (*.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 1/8 (pow.f64 (*.f64 x x) 3))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3)) (+.f64 1 (+.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 x (*.f64 (*.f64 x x) -1/2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 1 x) 2) 3) (pow.f64 (*.f64 1/4 (pow.f64 x 4)) 3)) (*.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 1 x) 2)) (+.f64 (*.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 1/4 (pow.f64 x 4))) (*.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 1 x) 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 1/4 (pow.f64 x 4)))) (neg.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 1/8 (pow.f64 (*.f64 x x) 3)))) (neg.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 1 x) 2))) (+.f64 (-.f64 (*.f64 x (*.f64 x 1/2)) 1) x))
(/.f64 (*.f64 1 (-.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 x (*.f64 (*.f64 x x) -1/2))))) (+.f64 (+.f64 1 x) (*.f64 (*.f64 x x) -1/2)))
(/.f64 (*.f64 1 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3))) (+.f64 1 (+.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 x (*.f64 (*.f64 x x) -1/2))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 1/4 (pow.f64 x 4))))) (neg.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 1/8 (pow.f64 (*.f64 x x) 3))))) (neg.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 1/4 (pow.f64 x 4))))) (sqrt.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 1/8 (pow.f64 (*.f64 x x) 3))))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 1/4 (pow.f64 x 4))))) (cbrt.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 2) (cbrt.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 1/8 (pow.f64 (*.f64 x x) 3))))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))))))
(/.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 1 x) 2)) 1) (+.f64 (-.f64 (*.f64 x (*.f64 x 1/2)) 1) x))
(/.f64 (*.f64 (-.f64 1 (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 x (*.f64 (*.f64 x x) -1/2)))) 1) (+.f64 (+.f64 1 x) (*.f64 (*.f64 x x) -1/2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) 3)) 1) (+.f64 1 (+.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (*.f64 (+.f64 x (*.f64 (*.f64 x x) -1/2)) (+.f64 x (*.f64 (*.f64 x x) -1/2))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 1/4 (pow.f64 x 4)))) 1) (neg.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 1/8 (pow.f64 (*.f64 x x) 3)))) 1) (neg.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 1/4 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) (sqrt.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 1/8 (pow.f64 (*.f64 x x) 3)))) (sqrt.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 1/4 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 1/8 (pow.f64 (*.f64 x x) 3)))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 2)) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 1 x) 2)) (*.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 1/4 (pow.f64 x 4)))) (/.f64 1 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)))) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 1 x) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 1 x) 2) 3) (pow.f64 (*.f64 1/4 (pow.f64 x 4)) 3)) (/.f64 1 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)))) (+.f64 (*.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (-.f64 1 x) 2)) (+.f64 (*.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 1/4 (pow.f64 x 4))) (*.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 1 x) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (*.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (*.f64 1/8 (pow.f64 (*.f64 x x) 3)))) (/.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))))) (-.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 1/8 (pow.f64 (*.f64 x x) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 1 x) 3) 3) (pow.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))))) (-.f64 (+.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (*.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (*.f64 1/8 (pow.f64 (*.f64 x x) 3)))) (*.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 1/8 (pow.f64 (*.f64 x x) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 1/4 (pow.f64 x 4))) 1) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 1/4 (pow.f64 x 4))) (sqrt.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)))) (sqrt.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 1/4 (pow.f64 x 4))) (*.f64 (cbrt.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))) (cbrt.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))) (cbrt.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 1/4 (pow.f64 x 4))) (+.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 x (sqrt.f64 1/2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 1/8 (pow.f64 (*.f64 x x) 3))) 1) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 1/8 (pow.f64 (*.f64 x x) 3))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 1/8 (pow.f64 (*.f64 x x) 3))) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))))))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))))))
(pow.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))
(fma.f64 1 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))
(fma.f64 1 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(fma.f64 (*.f64 x x) 1/2 (-.f64 1 x))
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x))
(fma.f64 (*.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)) (-.f64 1 x))
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (-.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (*.f64 x (*.f64 x 1/2)))
Outputs
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(atan.f64 (-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(atan.f64 (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(atan.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
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(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 6) (*.f64 1/64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 3)))) (*.f64 (-.f64 (fma.f64 1/4 (pow.f64 x 4) (pow.f64 (-.f64 1 x) 2)) (*.f64 (-.f64 1 x) (*.f64 1/2 (*.f64 x x)))) (+.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 6) (*.f64 -1/64 (pow.f64 (*.f64 x x) 6))) (*.f64 (fma.f64 1/4 (pow.f64 x 4) (*.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) (-.f64 1 x)))) (+.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 (pow.f64 x 6) -1/8))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 1 x) 3) 3) (pow.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))))) (-.f64 (+.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (*.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (*.f64 1/8 (pow.f64 (*.f64 x x) 3)))) (*.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 1/8 (pow.f64 (*.f64 x x) 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 1 x) 3) 3) (*.f64 1/512 (pow.f64 (pow.f64 (*.f64 x x) 3) 3))) (*.f64 (-.f64 (fma.f64 1/4 (pow.f64 x 4) (pow.f64 (-.f64 1 x) 2)) (*.f64 (-.f64 1 x) (*.f64 1/2 (*.f64 x x)))) (+.f64 (pow.f64 (-.f64 1 x) 6) (-.f64 (*.f64 1/64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 3))) (*.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (-.f64 1 x) 3))))))
(/.f64 (/.f64 (fma.f64 1/512 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (pow.f64 (-.f64 1 x) 3) 3)) (+.f64 (pow.f64 (-.f64 1 x) 6) (*.f64 (pow.f64 x 6) (-.f64 (*.f64 (pow.f64 x 6) 1/64) (*.f64 1/8 (pow.f64 (-.f64 1 x) 3)))))) (fma.f64 1/4 (pow.f64 x 4) (*.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) (-.f64 1 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 1/4 (pow.f64 x 4))) 1) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 -1/4 (pow.f64 x 4))) (+.f64 (-.f64 1 x) (*.f64 x (*.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (pow.f64 x 4) -1/4)) (fma.f64 x (*.f64 x -1/2) (-.f64 1 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 1/4 (pow.f64 x 4))) (sqrt.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)))) (sqrt.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 -1/4 (pow.f64 x 4))) (+.f64 (-.f64 1 x) (*.f64 x (*.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (pow.f64 x 4) -1/4)) (fma.f64 x (*.f64 x -1/2) (-.f64 1 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 1/4 (pow.f64 x 4))) (*.f64 (cbrt.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))) (cbrt.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))) (cbrt.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 -1/4 (pow.f64 x 4))) (+.f64 (-.f64 1 x) (*.f64 x (*.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (pow.f64 x 4) -1/4)) (fma.f64 x (*.f64 x -1/2) (-.f64 1 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 1/4 (pow.f64 x 4))) (+.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 x)))) (-.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 x (sqrt.f64 1/2))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 -1/4 (pow.f64 x 4))) (*.f64 (-.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 x (sqrt.f64 1/2))) (fma.f64 x (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (pow.f64 x 4) -1/4)) (*.f64 (fma.f64 x (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 x (sqrt.f64 1/2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 1/8 (pow.f64 (*.f64 x x) 3))) 1) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))))
(/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (-.f64 1 x) 3)) 1) (-.f64 (fma.f64 1/4 (pow.f64 x 4) (pow.f64 (-.f64 1 x) 2)) (*.f64 (-.f64 1 x) (*.f64 1/2 (*.f64 x x)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (-.f64 1 x) 3)) (fma.f64 1/4 (pow.f64 x 4) (*.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) (-.f64 1 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 1/8 (pow.f64 (*.f64 x x) 3))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))))))
(/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (-.f64 1 x) 3)) 1) (-.f64 (fma.f64 1/4 (pow.f64 x 4) (pow.f64 (-.f64 1 x) 2)) (*.f64 (-.f64 1 x) (*.f64 1/2 (*.f64 x x)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (-.f64 1 x) 3)) (fma.f64 1/4 (pow.f64 x 4) (*.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) (-.f64 1 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (*.f64 1/8 (pow.f64 (*.f64 x x) 3))) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))))))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))))))
(/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (-.f64 1 x) 3)) 1) (-.f64 (fma.f64 1/4 (pow.f64 x 4) (pow.f64 (-.f64 1 x) 2)) (*.f64 (-.f64 1 x) (*.f64 1/2 (*.f64 x x)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (-.f64 1 x) 3)) (fma.f64 1/4 (pow.f64 x 4) (*.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) (-.f64 1 x)))))
(pow.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) 1)
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 2)
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))) 3)
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) 3) 1/3)
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) 2))
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (-.f64 1 x)) 2))
(fabs.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)) 3))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 1 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 1 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 (*.f64 x x) 1/2 (-.f64 1 x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 (*.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)) (-.f64 1 x))
(-.f64 1 (+.f64 x (neg.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 2))))
(+.f64 (-.f64 1 x) (pow.f64 (*.f64 x (sqrt.f64 1/2)) 2))
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 x (*.f64 x 1/2)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (-.f64 1 x))
(-.f64 (-.f64 1 x) (*.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (neg.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))))))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (-.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (*.f64 x (*.f64 x 1/2)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))

localize75.0ms (1.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(atan.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (+.f64 1 (*.f64 x 1/6))))
0.0b
(/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x)))
✓0.0b
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (+.f64 1 (*.f64 x 1/6)))
✓0.3b
(*.f64 x 1/6)
Compiler

Compiled 85 to 67 computations (21.2% saved)

series5.0ms (0.1%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (+.f64 1 (*.f64 x 1/6)))
1.0ms
x
@inf
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (+.f64 1 (*.f64 x 1/6)))
0.0ms
x
@0
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (+.f64 1 (*.f64 x 1/6)))
0.0ms
x
@inf
(*.f64 x 1/6)
0.0ms
x
@-inf
(*.f64 x 1/6)

rewrite95.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
1452×associate-/r/
926×associate-/l/
908×distribute-lft-in
330×add-sqr-sqrt
318×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015101
132393
2445093
Stop Event
1×node limit
Counts
3 → 117
Calls
Call 1
Inputs
(*.f64 x 1/6)
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (+.f64 1 (*.f64 x 1/6)))
(atan.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (+.f64 1 (*.f64 x 1/6))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 x 1/6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x 1/6 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/6 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 -1/6 x))) (+.f64 (/.f64 (*.f64 (*.f64 x x) 1/36) (+.f64 1 (*.f64 -1/6 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/216 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/216 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/6)))))))
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simplify122.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1712×associate-/r*
1574×distribute-lft-in
878×associate-/l/
468×associate-*l/
450×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03587171
110206717
240646669
Stop Event
1×node limit
Counts
145 → 205
Calls
Call 1
Inputs
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
1
(+.f64 1 (*.f64 -1 x))
(+.f64 (*.f64 31/72 (pow.f64 x 2)) (+.f64 1 (*.f64 -1 x)))
(+.f64 (*.f64 31/72 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 -61/162 (pow.f64 x 3)))))
(atan.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/3) (*.f64 (/.f64 1 (+.f64 1 (*.f64 1/6 x))) (sqrt.f64 (-.f64 1 x)))))
(atan.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/3) (*.f64 (/.f64 1 (+.f64 1 (*.f64 1/6 x))) (sqrt.f64 (-.f64 1 x)))))
(atan.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/3) (*.f64 (/.f64 1 (+.f64 1 (*.f64 1/6 x))) (sqrt.f64 (-.f64 1 x)))))
(atan.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/3) (*.f64 (/.f64 1 (+.f64 1 (*.f64 1/6 x))) (sqrt.f64 (-.f64 1 x)))))
(atan.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/3) (*.f64 (/.f64 1 (+.f64 1 (*.f64 1/6 x))) (sqrt.f64 (-.f64 1 x)))))
(atan.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/3) (*.f64 (/.f64 1 (+.f64 1 (*.f64 1/6 x))) (sqrt.f64 (-.f64 1 x)))))
(atan.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/3) (*.f64 (/.f64 1 (+.f64 1 (*.f64 1/6 x))) (sqrt.f64 (-.f64 1 x)))))
(atan.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/3) (*.f64 (/.f64 1 (+.f64 1 (*.f64 1/6 x))) (sqrt.f64 (-.f64 1 x)))))
(atan.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))) 1/3) (*.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x))) (/.f64 1 (-.f64 1 (*.f64 -1/6 x))))))
(atan.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))) 1/3) (*.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x))) (/.f64 1 (-.f64 1 (*.f64 -1/6 x))))))
(atan.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))) 1/3) (*.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x))) (/.f64 1 (-.f64 1 (*.f64 -1/6 x))))))
(atan.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))) 1/3) (*.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x))) (/.f64 1 (-.f64 1 (*.f64 -1/6 x))))))
(+.f64 (*.f64 x 1/6) 0)
(+.f64 1 (-.f64 (*.f64 x 1/6) 1))
(-.f64 (fma.f64 x 1/6 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/6 1))) 2)
(-.f64 (/.f64 1 (+.f64 1 (*.f64 -1/6 x))) (+.f64 (/.f64 (*.f64 (*.f64 x x) 1/36) (+.f64 1 (*.f64 -1/6 x))) 1))
(pow.f64 (*.f64 x 1/6) 1)
(pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 1/6)) 3)
(pow.f64 (*.f64 1/216 (pow.f64 x 3)) 1/3)
(sqrt.f64 (*.f64 (*.f64 x x) 1/36))
(log.f64 (pow.f64 (exp.f64 x) 1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/6))))
(cbrt.f64 (*.f64 1/216 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x 1/6)))
(exp.f64 (log.f64 (*.f64 x 1/6)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/6)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/6)))
(+.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (-.f64 1 (*.f64 (*.f64 x x) 1/36)) (cbrt.f64 (+.f64 x 1)))) 1) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (-.f64 1 (*.f64 (*.f64 x x) 1/36)) (cbrt.f64 (+.f64 x 1)))) (neg.f64 (*.f64 x 1/6))))
(+.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (-.f64 1 (*.f64 (*.f64 x x) 1/36)) (cbrt.f64 (+.f64 x 1)))) 1) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (-.f64 1 (*.f64 (*.f64 x x) 1/36)) (cbrt.f64 (+.f64 x 1)))) (*.f64 (neg.f64 x) 1/6)))
(+.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (-.f64 1 (*.f64 (*.f64 x x) 1/36)) (cbrt.f64 (+.f64 x 1)))) 1) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (-.f64 1 (*.f64 (*.f64 x x) 1/36)) (cbrt.f64 (+.f64 x 1)))) (*.f64 -1/6 x)))
(+.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (-.f64 1 (*.f64 (*.f64 x x) 1/36)) (cbrt.f64 (+.f64 x 1)))) 1) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (-.f64 1 (*.f64 (*.f64 x x) 1/36)) (cbrt.f64 (+.f64 x 1)))) (*.f64 -1 (*.f64 x 1/6))))
(+.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (-.f64 1 (*.f64 (*.f64 x x) 1/36)) (cbrt.f64 (+.f64 x 1)))) 1) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (-.f64 1 (*.f64 (*.f64 x x) 1/36)) (cbrt.f64 (+.f64 x 1)))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x 1/6))) (sqrt.f64 (*.f64 x 1/6)))))
(+.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (-.f64 1 (*.f64 (*.f64 x x) 1/36)) (cbrt.f64 (+.f64 x 1)))) 1) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (-.f64 1 (*.f64 (*.f64 x x) 1/36)) (cbrt.f64 (+.f64 x 1)))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2)) (cbrt.f64 (*.f64 x 1/6)))))
(+.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (+.f64 1 (*.f64 1/216 (pow.f64 x 3))) (cbrt.f64 (+.f64 x 1)))) 1) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (+.f64 1 (*.f64 1/216 (pow.f64 x 3))) (cbrt.f64 (+.f64 x 1)))) (+.f64 (*.f64 (*.f64 x x) 1/36) (*.f64 -1/6 x))))
(+.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (+.f64 1 (*.f64 1/216 (pow.f64 x 3))) (cbrt.f64 (+.f64 x 1)))) (+.f64 (*.f64 (*.f64 x x) 1/36) (*.f64 -1/6 x))) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (+.f64 1 (*.f64 1/216 (pow.f64 x 3))) (cbrt.f64 (+.f64 x 1)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))))) 1)
(*.f64 1 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) (/.f64 1 (fma.f64 x 1/6 1))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1))) (/.f64 1 (fma.f64 x 1/6 1)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (*.f64 -1/6 x)) (-.f64 1 (*.f64 (*.f64 x x) 1/36))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1))) (/.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/36) (*.f64 -1/6 x))) (+.f64 1 (*.f64 1/216 (pow.f64 x 3)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))) 1)
(*.f64 (/.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/6)) (*.f64 (/.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/6)) (/.f64 1 (fma.f64 x 1/6 1))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/6)) (/.f64 (pow.f64 (-.f64 1 x) 1/4) (*.f64 (fma.f64 x 1/6 1) (pow.f64 (+.f64 x 1) 1/6))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1)))) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1)))) (/.f64 1 (fma.f64 x 1/6 1))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1)))) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1)))) 2) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1)))))
(*.f64 (/.f64 1 (fma.f64 x 1/6 1)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (+.f64 x 1))) (/.f64 1 (-.f64 -1 (*.f64 x 1/6))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x 1/6 1)) (/.f64 1 (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/6 1))) (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (fma.f64 x 1/6 1)) (cbrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2)) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (fma.f64 x 1/6 1))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (-.f64 1 (*.f64 (*.f64 x x) 1/36)) (cbrt.f64 (+.f64 x 1)))) (+.f64 1 (*.f64 -1/6 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (+.f64 1 (*.f64 1/216 (pow.f64 x 3))) (cbrt.f64 (+.f64 x 1)))) (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/36) (*.f64 -1/6 x))))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 (*.f64 x x) 1/36))) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1))) (+.f64 1 (*.f64 -1/6 x))))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 1/216 (pow.f64 x 3)))) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1))) (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/36) (*.f64 -1/6 x)))))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 -1 (*.f64 x 1/6))) (/.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 x) 1/4) (fma.f64 x 1/6 1)) (/.f64 (pow.f64 (-.f64 1 x) 1/4) (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (fma.f64 x 1/6 1)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (fma.f64 x 1/6 1))) (/.f64 1 (*.f64 (sqrt.f64 (fma.f64 x 1/6 1)) (cbrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2)) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (fma.f64 x 1/6 1))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 x) 1/4) (*.f64 (fma.f64 x 1/6 1) (pow.f64 (+.f64 x 1) 1/6))) (/.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/6)))
(*.f64 (/.f64 (/.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/6)) (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2)) (/.f64 (/.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 x 1) 1/6)) (cbrt.f64 (fma.f64 x 1/6 1))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) 1) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1)))) (fma.f64 x 1/6 1)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (sqrt.f64 (fma.f64 x 1/6 1))) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1)))) (sqrt.f64 (fma.f64 x 1/6 1))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1)))))
(*.f64 (/.f64 1 (/.f64 (fma.f64 x 1/6 1) (sqrt.f64 (-.f64 1 x)))) (/.f64 1 (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (/.f64 (fma.f64 x 1/6 1) (cbrt.f64 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1))) (neg.f64 (-.f64 1 (*.f64 (*.f64 x x) 1/36)))) (neg.f64 (+.f64 1 (*.f64 -1/6 x))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1))) (neg.f64 (+.f64 1 (*.f64 1/216 (pow.f64 x 3))))) (neg.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/36) (*.f64 -1/6 x)))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1))) (-.f64 (*.f64 (*.f64 x x) 1/36) 1)) (-.f64 (*.f64 x 1/6) 1))
(*.f64 (/.f64 (pow.f64 (-.f64 1 x) 1/4) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))) (pow.f64 (-.f64 1 x) 1/4))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (fma.f64 x 1/6 1)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (/.f64 1 (fma.f64 x 1/6 1)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (/.f64 1 (fma.f64 x 1/6 1)) (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 1 (fma.f64 x 1/6 1)) (pow.f64 (+.f64 x 1) 1/6)) (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 x 1) 1/6)))
(*.f64 (/.f64 (/.f64 1 (fma.f64 x 1/6 1)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (/.f64 1 (fma.f64 x 1/6 1)) (neg.f64 (cbrt.f64 (+.f64 x 1)))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (/.f64 1 (fma.f64 x 1/6 1)) (/.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (-.f64 1 x) 1/4))) (pow.f64 (-.f64 1 x) 1/4))
(*.f64 (/.f64 (/.f64 1 (fma.f64 x 1/6 1)) (/.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (+.f64 x 1))) (neg.f64 (-.f64 1 (*.f64 (*.f64 x x) 1/36)))) (+.f64 1 (*.f64 -1/6 x)))
(*.f64 (/.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (+.f64 x 1))) (neg.f64 (+.f64 1 (*.f64 1/216 (pow.f64 x 3))))) (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/36) (*.f64 -1/6 x))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x 1/6 1))) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x 1/6 1))) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x 1/6 1)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 x 1/6 1)) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (fma.f64 x 1/6 1)) (cbrt.f64 (+.f64 x 1)))) (sqrt.f64 (-.f64 1 (*.f64 (*.f64 x x) 1/36)))) (sqrt.f64 (+.f64 1 (*.f64 -1/6 x))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (fma.f64 x 1/6 1)) (cbrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 1 (*.f64 1/216 (pow.f64 x 3))))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/36) (*.f64 -1/6 x)))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (-.f64 1 (*.f64 (*.f64 x x) 1/36)))) (cbrt.f64 (+.f64 1 (*.f64 -1/6 x))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 1 (*.f64 1/216 (pow.f64 x 3))))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/36) (*.f64 -1/6 x)))))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))) 1)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1)))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))) 3) 1/3)
(pow.f64 (*.f64 (fma.f64 x 1/6 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) -1)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (-.f64 -1 (*.f64 x 1/6)) (cbrt.f64 (+.f64 x 1)))))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))) 2))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1))) 3) (pow.f64 (fma.f64 x 1/6 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1)))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1)))))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1)))))) 1)
(*.f64 1 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1)))))
(*.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1)))) 1)
(*.f64 (sqrt.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))))) (sqrt.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))))))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))))) 2) (cbrt.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))))))
(pow.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1)))) 1)
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))))) 2)
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))))) 3)
(pow.f64 (pow.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1)))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1)))) 2))
(log.f64 (exp.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1)))))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1)))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))))))
(exp.f64 (log.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))))) 1))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))))))
Outputs
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 (*.f64 31/72 (pow.f64 x 2)) (+.f64 1 (*.f64 -1 x)))
(fma.f64 31/72 (*.f64 x x) (-.f64 1 x))
(-.f64 (fma.f64 31/72 (*.f64 x x) 1) x)
(+.f64 (*.f64 31/72 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 -61/162 (pow.f64 x 3)))))
(fma.f64 31/72 (*.f64 x x) (+.f64 (-.f64 1 x) (*.f64 -61/162 (pow.f64 x 3))))
(+.f64 (-.f64 (*.f64 -61/162 (pow.f64 x 3)) x) (fma.f64 31/72 (*.f64 x x) 1))
(+.f64 (fma.f64 -61/162 (pow.f64 x 3) (neg.f64 x)) (fma.f64 31/72 (*.f64 x x) 1))
(atan.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/3) (*.f64 (/.f64 1 (+.f64 1 (*.f64 1/6 x))) (sqrt.f64 (-.f64 1 x)))))
(atan.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x 1/6 1)))))
(atan.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 1/6 x 1))))
(atan.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/3) (*.f64 (/.f64 1 (+.f64 1 (*.f64 1/6 x))) (sqrt.f64 (-.f64 1 x)))))
(atan.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x 1/6 1)))))
(atan.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 1/6 x 1))))
(atan.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/3) (*.f64 (/.f64 1 (+.f64 1 (*.f64 1/6 x))) (sqrt.f64 (-.f64 1 x)))))
(atan.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x 1/6 1)))))
(atan.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 1/6 x 1))))
(atan.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/3) (*.f64 (/.f64 1 (+.f64 1 (*.f64 1/6 x))) (sqrt.f64 (-.f64 1 x)))))
(atan.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x 1/6 1)))))
(atan.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 1/6 x 1))))
(atan.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/3) (*.f64 (/.f64 1 (+.f64 1 (*.f64 1/6 x))) (sqrt.f64 (-.f64 1 x)))))
(atan.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x 1/6 1)))))
(atan.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 1/6 x 1))))
(atan.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/3) (*.f64 (/.f64 1 (+.f64 1 (*.f64 1/6 x))) (sqrt.f64 (-.f64 1 x)))))
(atan.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x 1/6 1)))))
(atan.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 1/6 x 1))))
(atan.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/3) (*.f64 (/.f64 1 (+.f64 1 (*.f64 1/6 x))) (sqrt.f64 (-.f64 1 x)))))
(atan.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x 1/6 1)))))
(atan.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 1/6 x 1))))
(atan.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/3) (*.f64 (/.f64 1 (+.f64 1 (*.f64 1/6 x))) (sqrt.f64 (-.f64 1 x)))))
(atan.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x 1/6 1)))))
(atan.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 1/6 x 1))))
(atan.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))) 1/3) (*.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x))) (/.f64 1 (-.f64 1 (*.f64 -1/6 x))))))
(atan.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x 1/6 1)))))
(atan.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 1/6 x 1))))
(atan.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))) 1/3) (*.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x))) (/.f64 1 (-.f64 1 (*.f64 -1/6 x))))))
(atan.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x 1/6 1)))))
(atan.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 1/6 x 1))))
(atan.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))) 1/3) (*.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x))) (/.f64 1 (-.f64 1 (*.f64 -1/6 x))))))
(atan.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x 1/6 1)))))
(atan.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 1/6 x 1))))
(atan.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))) 1/3) (*.f64 (sqrt.f64 (+.f64 1 (*.f64 -1 x))) (/.f64 1 (-.f64 1 (*.f64 -1/6 x))))))
(atan.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (fma.f64 x 1/6 1)))))
(atan.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 1/6 x 1))))
(+.f64 (*.f64 x 1/6) 0)
(*.f64 1/6 x)
(+.f64 1 (-.f64 (*.f64 x 1/6) 1))
(*.f64 1/6 x)
(-.f64 (fma.f64 x 1/6 1) 1)
(*.f64 1/6 x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/6 1))) 2)
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(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (fma.f64 1/6 x 1) (cbrt.f64 (+.f64 x 1)))))
(atan.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 1/6 x 1)) (cbrt.f64 (+.f64 x 1))))
(*.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1)))) 1)
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (fma.f64 x 1/6 1) (cbrt.f64 (+.f64 x 1)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (fma.f64 1/6 x 1) (cbrt.f64 (+.f64 x 1)))))
(atan.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 1/6 x 1)) (cbrt.f64 (+.f64 x 1))))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))))) (sqrt.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (fma.f64 x 1/6 1) (cbrt.f64 (+.f64 x 1)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (fma.f64 1/6 x 1) (cbrt.f64 (+.f64 x 1)))))
(atan.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 1/6 x 1)) (cbrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))))) 2))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (fma.f64 x 1/6 1) (cbrt.f64 (+.f64 x 1)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (fma.f64 1/6 x 1) (cbrt.f64 (+.f64 x 1)))))
(atan.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 1/6 x 1)) (cbrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))))) 2) (cbrt.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (fma.f64 x 1/6 1) (cbrt.f64 (+.f64 x 1)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (fma.f64 1/6 x 1) (cbrt.f64 (+.f64 x 1)))))
(atan.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 1/6 x 1)) (cbrt.f64 (+.f64 x 1))))
(pow.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1)))) 1)
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (fma.f64 x 1/6 1) (cbrt.f64 (+.f64 x 1)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (fma.f64 1/6 x 1) (cbrt.f64 (+.f64 x 1)))))
(atan.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 1/6 x 1)) (cbrt.f64 (+.f64 x 1))))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))))) 2)
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (fma.f64 x 1/6 1) (cbrt.f64 (+.f64 x 1)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (fma.f64 1/6 x 1) (cbrt.f64 (+.f64 x 1)))))
(atan.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 1/6 x 1)) (cbrt.f64 (+.f64 x 1))))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))))) 3)
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (fma.f64 x 1/6 1) (cbrt.f64 (+.f64 x 1)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (fma.f64 1/6 x 1) (cbrt.f64 (+.f64 x 1)))))
(atan.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 1/6 x 1)) (cbrt.f64 (+.f64 x 1))))
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(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (fma.f64 x 1/6 1) (cbrt.f64 (+.f64 x 1)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (fma.f64 1/6 x 1) (cbrt.f64 (+.f64 x 1)))))
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(fabs.f64 (atan.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 1/6 x 1)) (cbrt.f64 (+.f64 x 1)))))
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(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (fma.f64 x 1/6 1) (cbrt.f64 (+.f64 x 1)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (fma.f64 1/6 x 1) (cbrt.f64 (+.f64 x 1)))))
(atan.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 1/6 x 1)) (cbrt.f64 (+.f64 x 1))))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x 1/6 1))))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (fma.f64 x 1/6 1) (cbrt.f64 (+.f64 x 1)))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (fma.f64 1/6 x 1) (cbrt.f64 (+.f64 x 1)))))
(atan.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (fma.f64 1/6 x 1)) (cbrt.f64 (+.f64 x 1))))

localize15.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 35 to 29 computations (17.1% saved)

series2.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite82.0ms (1.4%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0940
120128
2277828
Stop Event
1×node limit
Counts
2 → 165
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
(+.f64 1 (atan.f64 (-.f64 1 x)))
Outputs
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simplify197.0ms (3.5%)

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

Useful iterations: 1 (0.0ms)

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

eval622.0ms (11%)

Compiler

Compiled 21933 to 18185 computations (17.1% saved)

prune234.0ms (4.1%)

Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New7772779
Fresh000
Picked011
Done167
Total7789787
Error
0b
Counts
787 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.9b
(*.f64 2 (/.f64 1 (/.f64 1 (atan.f64 (-.f64 1 x)))))
✓0.9b
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
✓0.8b
(*.f64 2 (atan.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (+.f64 1 (*.f64 x 1/6)))))
▶0.8b
(*.f64 2 (atan.f64 (/.f64 (+.f64 1 (*.f64 -5/6 x)) (+.f64 1 (*.f64 x 1/6)))))
✓0.9b
(*.f64 2 (atan.f64 (-.f64 1 x)))
✓0.5b
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))))))
✓0.6b
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) 1/2))))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
✓1.6b
(*.f64 2 (atan.f64 1))
Compiler

Compiled 110 to 93 computations (15.5% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 1 (*.f64 -5/6 x)) (+.f64 1 (*.f64 x 1/6)))
✓0.0b
(atan.f64 (/.f64 (+.f64 1 (*.f64 -5/6 x)) (+.f64 1 (*.f64 x 1/6))))
✓0.2b
(*.f64 -5/6 x)
0.3b
(*.f64 x 1/6)
Compiler

Compiled 59 to 48 computations (18.6% saved)

series2.0ms (0%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(*.f64 -5/6 x)
0.0ms
x
@inf
(*.f64 -5/6 x)
0.0ms
x
@0
(*.f64 -5/6 x)
0.0ms
x
@inf
(/.f64 (+.f64 1 (*.f64 -5/6 x)) (+.f64 1 (*.f64 x 1/6)))
0.0ms
x
@inf
(atan.f64 (/.f64 (+.f64 1 (*.f64 -5/6 x)) (+.f64 1 (*.f64 x 1/6))))

rewrite75.0ms (1.3%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01373
127557
2353157
Stop Event
1×node limit
Counts
3 → 69
Calls
Call 1
Inputs
(*.f64 -5/6 x)
(atan.f64 (/.f64 (+.f64 1 (*.f64 -5/6 x)) (+.f64 1 (*.f64 x 1/6))))
(/.f64 (+.f64 1 (*.f64 -5/6 x)) (+.f64 1 (*.f64 x 1/6)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -5/6 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 -5/6 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -5/6 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -5/6 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 5/6 x))) (+.f64 (/.f64 (*.f64 25/36 (*.f64 x x)) (+.f64 1 (*.f64 5/6 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -5/6 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -5/6 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -5/6 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -125/216 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 25/36 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -5/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -125/216 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -5/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -5/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -5/6 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -5/6 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))) (sqrt.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))) 2) (cbrt.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -5/6 x 1) (/.f64 1 (fma.f64 x 1/6 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -5/6 x 1)) (*.f64 (sqrt.f64 (fma.f64 -5/6 x 1)) (/.f64 1 (fma.f64 x 1/6 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) (sqrt.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/6 x 1)) 2) (*.f64 (cbrt.f64 (fma.f64 -5/6 x 1)) (/.f64 1 (fma.f64 x 1/6 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) 2) (cbrt.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 1/6 1)) (fma.f64 -5/6 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (*.f64 -5/6 x)) (/.f64 -1 (fma.f64 x 1/6 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/6 1))) (/.f64 (fma.f64 -5/6 x 1) (sqrt.f64 (fma.f64 x 1/6 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2)) (/.f64 (fma.f64 -5/6 x 1) (cbrt.f64 (fma.f64 x 1/6 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 -5/6 x 1) (-.f64 1 (*.f64 1/36 (*.f64 x x)))) (+.f64 1 (*.f64 -1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 -5/6 x 1) (+.f64 1 (*.f64 1/216 (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 -1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 -5/6 x 1)) 1) (/.f64 (sqrt.f64 (fma.f64 -5/6 x 1)) (fma.f64 x 1/6 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 -5/6 x 1)) (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2)) (/.f64 (sqrt.f64 (fma.f64 -5/6 x 1)) (cbrt.f64 (fma.f64 x 1/6 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/6 x 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -5/6 x 1)) (fma.f64 x 1/6 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/6 x 1)) 2) (sqrt.f64 (fma.f64 x 1/6 1))) (/.f64 (cbrt.f64 (fma.f64 -5/6 x 1)) (sqrt.f64 (fma.f64 x 1/6 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/6 x 1)) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2)) (cbrt.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 1/6 1) (fma.f64 -5/6 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 -5/6 x 1) (-.f64 -1 (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (*.f64 -5/6 x)) (log1p.f64 (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (*.f64 -5/6 x)) (log1p.f64 (*.f64 x 1/6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))))))))

simplify83.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
690×unswap-sqr
680×associate-+l-
618×associate-+r-
596×distribute-lft-in
586×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02122345
15002291
217982267
364882267
Stop Event
1×node limit
Counts
93 → 118
Calls
Call 1
Inputs
(atan.f64 (/.f64 (+.f64 1 (*.f64 -5/6 x)) (+.f64 1 (*.f64 1/6 x))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -5/6 x)) (+.f64 1 (*.f64 1/6 x))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -5/6 x)) (+.f64 1 (*.f64 1/6 x))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -5/6 x)) (+.f64 1 (*.f64 1/6 x))))
(atan.f64 (/.f64 (-.f64 1 (*.f64 5/6 x)) (+.f64 1 (*.f64 1/6 x))))
(atan.f64 (/.f64 (-.f64 1 (*.f64 5/6 x)) (+.f64 1 (*.f64 1/6 x))))
(atan.f64 (/.f64 (-.f64 1 (*.f64 5/6 x)) (+.f64 1 (*.f64 1/6 x))))
(atan.f64 (/.f64 (-.f64 1 (*.f64 5/6 x)) (+.f64 1 (*.f64 1/6 x))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -5/6 x)) (-.f64 1 (*.f64 -1/6 x))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -5/6 x)) (-.f64 1 (*.f64 -1/6 x))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -5/6 x)) (-.f64 1 (*.f64 -1/6 x))))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -5/6 x)) (-.f64 1 (*.f64 -1/6 x))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 -1 x)))
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 -1 x))))
-5
(-.f64 (*.f64 36 (/.f64 1 x)) 5)
(-.f64 (*.f64 36 (/.f64 1 x)) (+.f64 5 (*.f64 216 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 36 (/.f64 1 x)) (*.f64 1296 (/.f64 1 (pow.f64 x 3)))) (+.f64 5 (*.f64 216 (/.f64 1 (pow.f64 x 2)))))
-5
(-.f64 (*.f64 36 (/.f64 1 x)) 5)
(-.f64 (*.f64 36 (/.f64 1 x)) (+.f64 5 (*.f64 216 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 36 (/.f64 1 x)) (*.f64 1296 (/.f64 1 (pow.f64 x 3)))) (+.f64 5 (*.f64 216 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 -5/6 x) 0)
(+.f64 1 (-.f64 (*.f64 -5/6 x) 1))
(-.f64 (fma.f64 -5/6 x 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -5/6 x 1))) 2)
(-.f64 (/.f64 1 (+.f64 1 (*.f64 5/6 x))) (+.f64 (/.f64 (*.f64 25/36 (*.f64 x x)) (+.f64 1 (*.f64 5/6 x))) 1))
(pow.f64 (*.f64 -5/6 x) 1)
(pow.f64 (sqrt.f64 (*.f64 -5/6 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 -5/6 x)) 3)
(pow.f64 (*.f64 -125/216 (pow.f64 x 3)) 1/3)
(sqrt.f64 (*.f64 25/36 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 -5/6) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/6 x))))
(cbrt.f64 (*.f64 -125/216 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 -5/6 x)))
(exp.f64 (log.f64 (*.f64 -5/6 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 -5/6 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 -5/6 x)))
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))))) 1)
(*.f64 1 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))))
(*.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) 1)
(*.f64 (sqrt.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))) (sqrt.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))) 2) (cbrt.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))))
(pow.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) 1)
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))) 2)
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))) 3)
(pow.f64 (pow.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) 2))
(log.f64 (exp.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))))
(exp.f64 (log.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))))
(exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))) 1))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))) 1)
(*.f64 1 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))
(*.f64 (fma.f64 -5/6 x 1) (/.f64 1 (fma.f64 x 1/6 1)))
(*.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)) 1)
(*.f64 (sqrt.f64 (fma.f64 -5/6 x 1)) (*.f64 (sqrt.f64 (fma.f64 -5/6 x 1)) (/.f64 1 (fma.f64 x 1/6 1))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) (sqrt.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/6 x 1)) 2) (*.f64 (cbrt.f64 (fma.f64 -5/6 x 1)) (/.f64 1 (fma.f64 x 1/6 1))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) 2) (cbrt.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))))
(*.f64 (/.f64 1 (fma.f64 x 1/6 1)) (fma.f64 -5/6 x 1))
(*.f64 (-.f64 -1 (*.f64 -5/6 x)) (/.f64 -1 (fma.f64 x 1/6 1)))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/6 1))) (/.f64 (fma.f64 -5/6 x 1) (sqrt.f64 (fma.f64 x 1/6 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2)) (/.f64 (fma.f64 -5/6 x 1) (cbrt.f64 (fma.f64 x 1/6 1))))
(*.f64 (/.f64 (fma.f64 -5/6 x 1) (-.f64 1 (*.f64 1/36 (*.f64 x x)))) (+.f64 1 (*.f64 -1/6 x)))
(*.f64 (/.f64 (fma.f64 -5/6 x 1) (+.f64 1 (*.f64 1/216 (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 -1/6 x))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -5/6 x 1)) 1) (/.f64 (sqrt.f64 (fma.f64 -5/6 x 1)) (fma.f64 x 1/6 1)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -5/6 x 1)) (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2)) (/.f64 (sqrt.f64 (fma.f64 -5/6 x 1)) (cbrt.f64 (fma.f64 x 1/6 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/6 x 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -5/6 x 1)) (fma.f64 x 1/6 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/6 x 1)) 2) (sqrt.f64 (fma.f64 x 1/6 1))) (/.f64 (cbrt.f64 (fma.f64 -5/6 x 1)) (sqrt.f64 (fma.f64 x 1/6 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/6 x 1)) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2)) (cbrt.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))))
(pow.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 x 1/6 1) (fma.f64 -5/6 x 1)) -1)
(neg.f64 (/.f64 (fma.f64 -5/6 x 1) (-.f64 -1 (*.f64 x 1/6))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))))
(exp.f64 (-.f64 (log1p.f64 (*.f64 -5/6 x)) (log1p.f64 (*.f64 x 1/6))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (*.f64 -5/6 x)) (log1p.f64 (*.f64 x 1/6))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))))
Outputs
(atan.f64 (/.f64 (+.f64 1 (*.f64 -5/6 x)) (+.f64 1 (*.f64 1/6 x))))
(atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -5/6 x)) (+.f64 1 (*.f64 1/6 x))))
(atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -5/6 x)) (+.f64 1 (*.f64 1/6 x))))
(atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -5/6 x)) (+.f64 1 (*.f64 1/6 x))))
(atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 5/6 x)) (+.f64 1 (*.f64 1/6 x))))
(atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 5/6 x)) (+.f64 1 (*.f64 1/6 x))))
(atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 5/6 x)) (+.f64 1 (*.f64 1/6 x))))
(atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))
(atan.f64 (/.f64 (-.f64 1 (*.f64 5/6 x)) (+.f64 1 (*.f64 1/6 x))))
(atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -5/6 x)) (-.f64 1 (*.f64 -1/6 x))))
(atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -5/6 x)) (-.f64 1 (*.f64 -1/6 x))))
(atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -5/6 x)) (-.f64 1 (*.f64 -1/6 x))))
(atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))
(atan.f64 (/.f64 (+.f64 1 (*.f64 -5/6 x)) (-.f64 1 (*.f64 -1/6 x))))
(atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 -1 x)))
(fma.f64 1/6 (*.f64 x x) (+.f64 1 (neg.f64 x)))
(fma.f64 1/6 (*.f64 x x) (-.f64 1 x))
(-.f64 (fma.f64 x (*.f64 x 1/6) 1) x)
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 -1 x))))
(fma.f64 -1/36 (pow.f64 x 3) (fma.f64 1/6 (*.f64 x x) (+.f64 1 (neg.f64 x))))
(fma.f64 -1/36 (pow.f64 x 3) (fma.f64 1/6 (*.f64 x x) (-.f64 1 x)))
(-.f64 (fma.f64 -1/36 (pow.f64 x 3) (fma.f64 x (*.f64 x 1/6) 1)) x)
-5
(-.f64 (*.f64 36 (/.f64 1 x)) 5)
(+.f64 (/.f64 36 x) -5)
(-.f64 (*.f64 36 (/.f64 1 x)) (+.f64 5 (*.f64 216 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 36 x) (+.f64 5 (/.f64 216 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 36 x) -5) (/.f64 216 (*.f64 x x)))
(+.f64 (/.f64 36 x) (+.f64 -5 (/.f64 -216 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 36 (/.f64 1 x)) (*.f64 1296 (/.f64 1 (pow.f64 x 3)))) (+.f64 5 (*.f64 216 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 36 x) (-.f64 (/.f64 1296 (pow.f64 x 3)) (+.f64 5 (/.f64 216 (*.f64 x x)))))
(+.f64 (/.f64 1296 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 36 x) -5) (/.f64 216 (*.f64 x x))))
(+.f64 (/.f64 36 x) (+.f64 (/.f64 1296 (pow.f64 x 3)) (+.f64 -5 (/.f64 -216 (*.f64 x x)))))
-5
(-.f64 (*.f64 36 (/.f64 1 x)) 5)
(+.f64 (/.f64 36 x) -5)
(-.f64 (*.f64 36 (/.f64 1 x)) (+.f64 5 (*.f64 216 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 36 x) (+.f64 5 (/.f64 216 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 36 x) -5) (/.f64 216 (*.f64 x x)))
(+.f64 (/.f64 36 x) (+.f64 -5 (/.f64 -216 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 36 (/.f64 1 x)) (*.f64 1296 (/.f64 1 (pow.f64 x 3)))) (+.f64 5 (*.f64 216 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 36 x) (-.f64 (/.f64 1296 (pow.f64 x 3)) (+.f64 5 (/.f64 216 (*.f64 x x)))))
(+.f64 (/.f64 1296 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 36 x) -5) (/.f64 216 (*.f64 x x))))
(+.f64 (/.f64 36 x) (+.f64 (/.f64 1296 (pow.f64 x 3)) (+.f64 -5 (/.f64 -216 (*.f64 x x)))))
(+.f64 (*.f64 -5/6 x) 0)
(*.f64 -5/6 x)
(+.f64 1 (-.f64 (*.f64 -5/6 x) 1))
(*.f64 -5/6 x)
(-.f64 (fma.f64 -5/6 x 1) 1)
(*.f64 -5/6 x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -5/6 x 1))) 2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 -5/6 x 1))) -2)
(-.f64 (/.f64 1 (+.f64 1 (*.f64 5/6 x))) (+.f64 (/.f64 (*.f64 25/36 (*.f64 x x)) (+.f64 1 (*.f64 5/6 x))) 1))
(-.f64 (/.f64 1 (+.f64 1 (*.f64 x 5/6))) (+.f64 1 (/.f64 (*.f64 25/36 (*.f64 x x)) (+.f64 1 (*.f64 x 5/6)))))
(-.f64 (/.f64 1 (fma.f64 x 5/6 1)) (+.f64 1 (/.f64 (*.f64 25/36 (*.f64 x x)) (fma.f64 x 5/6 1))))
(-.f64 (/.f64 1 (fma.f64 x 5/6 1)) (fma.f64 (/.f64 25/36 (fma.f64 x 5/6 1)) (*.f64 x x) 1))
(pow.f64 (*.f64 -5/6 x) 1)
(*.f64 -5/6 x)
(pow.f64 (sqrt.f64 (*.f64 -5/6 x)) 2)
(*.f64 -5/6 x)
(pow.f64 (cbrt.f64 (*.f64 -5/6 x)) 3)
(*.f64 -5/6 x)
(pow.f64 (*.f64 -125/216 (pow.f64 x 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) -125/216))
(sqrt.f64 (*.f64 25/36 (*.f64 x x)))
(sqrt.f64 (*.f64 x (*.f64 x 25/36)))
(log.f64 (pow.f64 (exp.f64 -5/6) x))
(*.f64 -5/6 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/6 x))))
(*.f64 -5/6 x)
(cbrt.f64 (*.f64 -125/216 (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) -125/216))
(expm1.f64 (log1p.f64 (*.f64 -5/6 x)))
(*.f64 -5/6 x)
(exp.f64 (log.f64 (*.f64 -5/6 x)))
(*.f64 -5/6 x)
(exp.f64 (*.f64 (log.f64 (*.f64 -5/6 x)) 1))
(*.f64 -5/6 x)
(log1p.f64 (expm1.f64 (*.f64 -5/6 x)))
(*.f64 -5/6 x)
(-.f64 (exp.f64 (log1p.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))))) 1)
(atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))
(*.f64 1 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))))
(atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))
(*.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) 1)
(atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))) (sqrt.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))))
(atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))) 2))
(atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))) 2) (cbrt.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))))
(atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))
(pow.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) 1)
(atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))) 2)
(atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))) 3)
(atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) 3) 1/3)
(atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) 2))
(atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))
(log.f64 (exp.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))))
(atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))
(log.f64 (+.f64 1 (expm1.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))))))
(atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) 3))
(atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))))
(atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))
(exp.f64 (log.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))))
(atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))
(exp.f64 (*.f64 (log.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))) 1))
(atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))))
(atan.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))) 1)
(/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))
(*.f64 1 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))
(/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))
(*.f64 (fma.f64 -5/6 x 1) (/.f64 1 (fma.f64 x 1/6 1)))
(/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))
(*.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)) 1)
(/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))
(*.f64 (sqrt.f64 (fma.f64 -5/6 x 1)) (*.f64 (sqrt.f64 (fma.f64 -5/6 x 1)) (/.f64 1 (fma.f64 x 1/6 1))))
(/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) (sqrt.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))))
(/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/6 x 1)) 2) (*.f64 (cbrt.f64 (fma.f64 -5/6 x 1)) (/.f64 1 (fma.f64 x 1/6 1))))
(/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) 2))
(/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) 2) (cbrt.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))))
(/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))
(*.f64 (/.f64 1 (fma.f64 x 1/6 1)) (fma.f64 -5/6 x 1))
(/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))
(*.f64 (-.f64 -1 (*.f64 -5/6 x)) (/.f64 -1 (fma.f64 x 1/6 1)))
(/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/6 1))) (/.f64 (fma.f64 -5/6 x 1) (sqrt.f64 (fma.f64 x 1/6 1))))
(/.f64 (/.f64 (fma.f64 -5/6 x 1) (sqrt.f64 (fma.f64 x 1/6 1))) (sqrt.f64 (fma.f64 x 1/6 1)))
(/.f64 (fma.f64 -5/6 x 1) (*.f64 (sqrt.f64 (fma.f64 x 1/6 1)) (sqrt.f64 (fma.f64 x 1/6 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2)) (/.f64 (fma.f64 -5/6 x 1) (cbrt.f64 (fma.f64 x 1/6 1))))
(/.f64 (/.f64 (fma.f64 -5/6 x 1) (cbrt.f64 (fma.f64 x 1/6 1))) (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2))
(/.f64 (fma.f64 -5/6 x 1) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2) (cbrt.f64 (fma.f64 x 1/6 1))))
(*.f64 (/.f64 (fma.f64 -5/6 x 1) (-.f64 1 (*.f64 1/36 (*.f64 x x)))) (+.f64 1 (*.f64 -1/6 x)))
(*.f64 (/.f64 (fma.f64 -5/6 x 1) (+.f64 1 (*.f64 -1/36 (*.f64 x x)))) (+.f64 1 (*.f64 x -1/6)))
(*.f64 (/.f64 (fma.f64 -5/6 x 1) (+.f64 1 (*.f64 -1/36 (*.f64 x x)))) (fma.f64 x -1/6 1))
(*.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 -1/36 (*.f64 x x) 1)) (fma.f64 x -1/6 1))
(*.f64 (/.f64 (fma.f64 -5/6 x 1) (+.f64 1 (*.f64 1/216 (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 -1/6 x))))
(/.f64 (*.f64 (fma.f64 -5/6 x 1) (+.f64 1 (fma.f64 1/36 (*.f64 x x) (*.f64 x -1/6)))) (+.f64 1 (*.f64 (pow.f64 x 3) 1/216)))
(*.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 (pow.f64 x 3) 1/216 1)) (+.f64 1 (*.f64 x (+.f64 -1/6 (*.f64 x 1/36)))))
(*.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 (pow.f64 x 3) 1/216 1)) (fma.f64 x (fma.f64 x 1/36 -1/6) 1))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -5/6 x 1)) 1) (/.f64 (sqrt.f64 (fma.f64 -5/6 x 1)) (fma.f64 x 1/6 1)))
(/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -5/6 x 1)) (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2)) (/.f64 (sqrt.f64 (fma.f64 -5/6 x 1)) (cbrt.f64 (fma.f64 x 1/6 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2)) (/.f64 (fma.f64 -5/6 x 1) (cbrt.f64 (fma.f64 x 1/6 1))))
(/.f64 (/.f64 (fma.f64 -5/6 x 1) (cbrt.f64 (fma.f64 x 1/6 1))) (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2))
(/.f64 (fma.f64 -5/6 x 1) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2) (cbrt.f64 (fma.f64 x 1/6 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/6 x 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -5/6 x 1)) (fma.f64 x 1/6 1)))
(/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/6 x 1)) 2) (sqrt.f64 (fma.f64 x 1/6 1))) (/.f64 (cbrt.f64 (fma.f64 -5/6 x 1)) (sqrt.f64 (fma.f64 x 1/6 1))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/6 1))) (/.f64 (fma.f64 -5/6 x 1) (sqrt.f64 (fma.f64 x 1/6 1))))
(/.f64 (/.f64 (fma.f64 -5/6 x 1) (sqrt.f64 (fma.f64 x 1/6 1))) (sqrt.f64 (fma.f64 x 1/6 1)))
(/.f64 (fma.f64 -5/6 x 1) (*.f64 (sqrt.f64 (fma.f64 x 1/6 1)) (sqrt.f64 (fma.f64 x 1/6 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/6 x 1)) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2)) (cbrt.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/6 x 1)) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/6 1)) 2)))
(pow.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)) 1)
(/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) 2)
(/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))) 3)
(/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))
(pow.f64 (pow.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)) 3) 1/3)
(/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))
(pow.f64 (/.f64 (fma.f64 x 1/6 1) (fma.f64 -5/6 x 1)) -1)
(/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))
(neg.f64 (/.f64 (fma.f64 -5/6 x 1) (-.f64 -1 (*.f64 x 1/6))))
(/.f64 (neg.f64 (fma.f64 -5/6 x 1)) (-.f64 -1 (*.f64 x 1/6)))
(/.f64 (-.f64 -1 (*.f64 -5/6 x)) (-.f64 -1 (*.f64 x 1/6)))
(/.f64 (fma.f64 x 5/6 -1) (fma.f64 x -1/6 -1))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)) 2))
(/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))
(log.f64 (exp.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))))
(/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)))))
(/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1)) 3))
(/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))))
(/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))
(exp.f64 (-.f64 (log1p.f64 (*.f64 -5/6 x)) (log1p.f64 (*.f64 x 1/6))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (*.f64 -5/6 x)) (log1p.f64 (*.f64 x 1/6))) 1))
(exp.f64 (-.f64 (log1p.f64 (*.f64 -5/6 x)) (log1p.f64 (*.f64 x 1/6))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))))
(/.f64 (fma.f64 -5/6 x 1) (fma.f64 x 1/6 1))

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 35 to 29 computations (17.1% saved)

series1.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite59.0ms (1%)

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

Useful iterations: 0 (0.0ms)

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

simplify57.0ms (1%)

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

Useful iterations: 1 (0.0ms)

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

eval115.0ms (2%)

Compiler

Compiled 3426 to 2940 computations (14.2% saved)

prune93.0ms (1.6%)

Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New2131214
Fresh000
Picked011
Done178
Total2149223
Error
0b
Counts
223 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
1.8b
(*.f64 2 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (atan.f64 (-.f64 1 x)))) 3)))
✓0.9b
(*.f64 2 (/.f64 1 (/.f64 1 (atan.f64 (-.f64 1 x)))))
✓0.9b
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
✓0.8b
(*.f64 2 (atan.f64 (/.f64 (+.f64 1 (*.f64 -5/6 x)) (+.f64 1 (*.f64 x 1/6)))))
✓0.9b
(*.f64 2 (atan.f64 (-.f64 1 x)))
✓0.5b
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))))))
✓0.6b
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) 1/2))))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
✓1.6b
(*.f64 2 (atan.f64 1))
Compiler

Compiled 105 to 90 computations (14.3% saved)

regimes22.0ms (0.4%)

Counts
13 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(*.f64 2 (/.f64 1 (/.f64 1 (atan.f64 (-.f64 1 x)))))
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) 1/2))))
(*.f64 2 (atan.f64 (/.f64 (+.f64 1 (*.f64 -5/6 x)) (+.f64 1 (*.f64 x 1/6)))))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))))))
(*.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 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (atan.f64 (-.f64 1 x)))) 3)))
(*.f64 2 (atan.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (+.f64 1 (*.f64 x 1/6)))))
(*.f64 2 (atan.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))))
Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Calls

5 calls:

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

Compiled 199 to 161 computations (19.1% saved)

regimes8.0ms (0.1%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(*.f64 2 (/.f64 1 (/.f64 1 (atan.f64 (-.f64 1 x)))))
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) 1/2))))
(*.f64 2 (atan.f64 (/.f64 (+.f64 1 (*.f64 -5/6 x)) (+.f64 1 (*.f64 x 1/6)))))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))))))
Outputs
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))))))
Calls

1 calls:

6.0ms
x
Results
ErrorSegmentsBranch
0.5b1x
Compiler

Compiled 87 to 70 computations (19.5% saved)

regimes6.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(*.f64 2 (/.f64 1 (/.f64 1 (atan.f64 (-.f64 1 x)))))
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) 1/2))))
(*.f64 2 (atan.f64 (/.f64 (+.f64 1 (*.f64 -5/6 x)) (+.f64 1 (*.f64 x 1/6)))))
Outputs
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) 1/2))))
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
0.6b1x
Compiler

Compiled 71 to 59 computations (16.9% saved)

regimes6.0ms (0.1%)

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

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
0.6b1x
Compiler

Compiled 45 to 38 computations (15.6% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.8b remaining (-89.2%)

Threshold costs -0.8b (-89.2%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
0.9b1x
Compiler

Compiled 33 to 29 computations (12.1% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
24×*-commutative
16×+-commutative
6×sub-neg
2×1-exp
2×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035178
156178
261178
363178
464178
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))))))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) 1/2))))
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 1))
Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))))))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) 1/2))))
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 1))
Compiler

Compiled 67 to 54 computations (19.4% saved)

soundness0.0ms (0%)

end122.0ms (2.2%)

Compiler

Compiled 62 to 48 computations (22.6% saved)

Profiling

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