Details

Time bar (total: 3.8s)

analyze14.0ms (0.4%)

Algorithm
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)

sample1.7s (45.1%)

Results
1.7s8256×body256valid
1.0msbody256invalid
Bogosity

preprocess142.0ms (3.7%)

Algorithm
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
saturated
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)

simplify128.0ms (3.4%)

Algorithm
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
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)))))

eval1.0ms (0%)

Compiler

Compiled 12 to 10 computations (16.7% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
100.0%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
100.0%
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize25.0ms (0.7%)

Local error

Found 2 expressions with local error:

NewErrorProgram
100.0%
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
100.0%
(/.f64 (-.f64 1 x) (+.f64 1 x))
Compiler

Compiled 45 to 34 computations (24.4% saved)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite127.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
1636×associate-/r*
1154×associate-/l*
978×associate-/r/
904×*-commutative
538×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0942
119342
2263642
Stop Event
node limit
Counts
2 → 134
Calls
Call 1
Inputs
(/.f64 (-.f64 1 x) (+.f64 1 x))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
Outputs
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log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))

simplify225.0ms (5.9%)

Algorithm
egg-herbie
Rules
1560×associate-*r/
1310×associate-*l/
652×associate-+l+
590×+-commutative
564×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03846184
110635692
239985486
Stop Event
node limit
Counts
158 → 258
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(+.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 (/.f64 x (+.f64 1 x))))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 1 (neg.f64 (/.f64 x (+.f64 1 x)))))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (neg.f64 (/.f64 x (+.f64 1 x))) 1))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))
(+.f64 (neg.f64 (/.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 1 x)))
(+.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)) (/.f64 1 (+.f64 1 x)))
(+.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) 1) (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (-.f64 (*.f64 x x) x)))
(+.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (-.f64 (*.f64 x x) x)) (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) 1))
(+.f64 (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 1 x)))
(+.f64 (*.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 (*.f64 x x) x) (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 (-.f64 (*.f64 x x) x) (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (*.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))))
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (+.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(*.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (-.f64 1 x) (/.f64 1 (+.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (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 (/.f64 1 (+.f64 1 x)) (-.f64 1 x))
(*.f64 (+.f64 (-.f64 1 x) (*.f64 x x)) (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))))
(*.f64 (+.f64 -1 x) (/.f64 1 (-.f64 -1 x)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 x) 2))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 x x))))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 (-.f64 1 x) (*.f64 x x)))
(*.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 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 x x)))) (pow.f64 (-.f64 1 x) 2))
(*.f64 (/.f64 (-.f64 1 x) (neg.f64 (-.f64 1 (*.f64 x x)))) (+.f64 -1 x))
(*.f64 (/.f64 (-.f64 1 x) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (neg.f64 (+.f64 (-.f64 1 x) (*.f64 x x))))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (cbrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) (/.f64 (-.f64 1 (*.f64 x x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) (/.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))) (cbrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) (-.f64 (*.f64 x x) 1)) (-.f64 x 1))
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 (-.f64 1 x) (*.f64 x x)) (+.f64 (-.f64 1 x) (*.f64 x x))))
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 x 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)))) (+.f64 (-.f64 1 x) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 (-.f64 1 x) (*.f64 x x))))
(*.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 (/.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 (+.f64 1 (*.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 (pow.f64 x 3)))) (sqrt.f64 (+.f64 (-.f64 1 x) (*.f64 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) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 (-.f64 1 x) (*.f64 x x))))
(*.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) (fma.f64 x x x)) (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 (-.f64 1 x) (*.f64 x x)) (+.f64 (-.f64 1 x) (*.f64 x x))))
(*.f64 (/.f64 (-.f64 (+.f64 1 x) (fma.f64 x x x)) (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 x x)))) (pow.f64 (-.f64 1 x) 2))
(*.f64 (/.f64 (-.f64 (+.f64 1 x) (fma.f64 x x x)) (*.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x)))) (-.f64 1 x))
(*.f64 (/.f64 (-.f64 (+.f64 1 x) (fma.f64 x x x)) (*.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (+.f64 (-.f64 1 x) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 (+.f64 1 x) (fma.f64 x x x)) (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 x x))))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1)
(neg.f64 (/.f64 (-.f64 1 x) (-.f64 -1 x)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 1 1/2))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (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 (sqrt.f64 (/.f64 1 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (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 (-.f64 1 x) (*.f64 x x))))
(/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(/.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 (fma.f64 x x x)))))
(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (sqrt.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (cbrt.f64 (-.f64 1 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1 x))))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Outputs
1
(+.f64 1 (*.f64 -2 x))
(fma.f64 -2 x 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 x 1))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 -2 (+.f64 x (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 1))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (/.f64 2 x) -1)
(+.f64 -1 (/.f64 2 x))
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (/.f64 2 x) -1)
(+.f64 -1 (/.f64 2 x))
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))
(+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(+.f64 1 (-.f64 (fma.f64 (pow.f64 x 3) -1/2 (*.f64 x (*.f64 x 1/2))) x))
(+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (*.f64 x x)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (*.f64 x x))))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1))))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x)) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (*.f64 x x)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (*.f64 x x))))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1))))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x)) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))))
(+.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 1 (neg.f64 (/.f64 x (+.f64 1 x)))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (neg.f64 (/.f64 x (+.f64 1 x))) 1))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(+.f64 (neg.f64 (/.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(+.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 x)) (/.f64 1 (+.f64 1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(+.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) 1) (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (-.f64 (*.f64 x x) x)))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 (-.f64 (*.f64 x x) x) 1))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 1 x)))
(+.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (-.f64 (*.f64 x x) x)) (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) 1))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 (-.f64 (*.f64 x x) x) 1))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 1 x)))
(+.f64 (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(+.f64 (*.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 (*.f64 x x) x) (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3)))))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 (-.f64 (*.f64 x x) x) 1))
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(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)))

eval178.0ms (4.7%)

Compiler

Compiled 5494 to 4225 computations (23.1% saved)

prune62.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2553258
Fresh000
Picked011
Done000
Total2554259
Error
100.0%
Counts
259 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
99.6%
(*.f64 2 (atan.f64 (-.f64 1 x)))
99.7%
(*.f64 2 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
99.8%
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))))
100.0%
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Compiler

Compiled 49 to 39 computations (20.4% saved)

localize41.0ms (1.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
100.0%
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)))
Compiler

Compiled 80 to 51 computations (36.3% saved)

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite111.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
1998×add-sqr-sqrt
1968×*-un-lft-identity
1848×add-cube-cbrt
1826×add-cbrt-cube
192×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0925
119921
2257221
Stop Event
node limit
Counts
1 → 24
Calls
Call 1
Inputs
(*.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 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))) (+.f64 1/2 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (+.f64 1/8 (*.f64 -1/8 (pow.f64 x 3)))) (+.f64 1/4 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 -1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/4)) (*.f64 x x)) (+.f64 1/2 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/8 (*.f64 -1/8 (pow.f64 x 3))) (*.f64 x x)) (+.f64 1/4 (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 -1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/2))) (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))) (-.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 3) (pow.f64 (*.f64 -1/2 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/2))) (-.f64 (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3))) (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 2) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/2 (*.f64 -1/2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))))))

simplify96.0ms (2.5%)

Algorithm
egg-herbie
Rules
922×associate-+r+
922×associate-+l+
660×distribute-lft-out
638×fma-def
622×associate-/l/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0931160
1287944
21209896
34099886
Stop Event
node limit
Counts
36 → 46
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)))
(+.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 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))))) 1)
(/.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))))))
(pow.f64 (*.f64 x (*.f64 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 x (*.f64 x (fma.f64 x -1/2 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 2) (pow.f64 x 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/2 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))))
(fma.f64 (*.f64 x x) 1/2 (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
Outputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(+.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 x (*.f64 x 1/2)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(+.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) 1) (*.f64 (*.f64 -1/2 (pow.f64 x 3)) 1))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))))) 1)
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(/.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))) (+.f64 1/2 (*.f64 1/2 x)))
(/.f64 (*.f64 x x) (/.f64 (+.f64 1/2 (*.f64 1/2 x)) (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 1/2 x 1/2)) (+.f64 1/4 (*.f64 (*.f64 x x) -1/4)))
(*.f64 (fma.f64 x (*.f64 x -1/4) 1/4) (/.f64 x (/.f64 (fma.f64 1/2 x 1/2) x)))
(*.f64 (*.f64 x x) (/.f64 (fma.f64 x (*.f64 x -1/4) 1/4) (fma.f64 1/2 x 1/2)))
(/.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 x x) (/.f64 (+.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 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1/8) (+.f64 1/4 (*.f64 x (-.f64 (*.f64 x 1/4) -1/4)))) (*.f64 x x))
(*.f64 (fma.f64 (pow.f64 x 3) -1/8 1/8) (/.f64 x (/.f64 (fma.f64 x (fma.f64 x 1/4 1/4) 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 x x) (/.f64 (+.f64 1/2 (*.f64 1/2 x)) (-.f64 1/4 (*.f64 (*.f64 x x) 1/4))))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 1/2 x 1/2)) (+.f64 1/4 (*.f64 (*.f64 x x) -1/4)))
(*.f64 (fma.f64 x (*.f64 x -1/4) 1/4) (/.f64 x (/.f64 (fma.f64 1/2 x 1/2) x)))
(*.f64 (*.f64 x x) (/.f64 (fma.f64 x (*.f64 x -1/4) 1/4) (fma.f64 1/2 x 1/2)))
(/.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 x x) (/.f64 (+.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 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 1/8) (+.f64 1/4 (*.f64 x (-.f64 (*.f64 x 1/4) -1/4)))) (*.f64 x x))
(*.f64 (fma.f64 (pow.f64 x 3) -1/8 1/8) (/.f64 x (/.f64 (fma.f64 x (fma.f64 x 1/4 1/4) 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))))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(/.f64 (+.f64 (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 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (*.f64 -1/8 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/2 (*.f64 x x)) (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (-.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 1/2 (*.f64 x x))))))
(/.f64 (fma.f64 -1/8 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (*.f64 x (*.f64 1/2 x)) 3)) (fma.f64 (*.f64 -1/2 (pow.f64 x 3)) (fma.f64 -1/2 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x))) (*.f64 1/4 (pow.f64 x 4))))
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (*.f64 -1/8 (pow.f64 (pow.f64 x 3/2) 6))) (fma.f64 1/4 (pow.f64 x 6) (fma.f64 x (*.f64 1/4 (pow.f64 x 4)) (*.f64 1/4 (pow.f64 x 4)))))
(/.f64 (*.f64 (pow.f64 x 6) (+.f64 1/8 (pow.f64 (*.f64 x -1/2) 3))) (fma.f64 1/4 (pow.f64 x 6) (*.f64 (*.f64 1/4 (pow.f64 x 4)) (+.f64 x 1))))
(pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 1)
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/2 1/2))) 2)
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))) 3)
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 3) 1/3)
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/2 1/2) 2) (pow.f64 x 4)))
(fabs.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))))
(fabs.f64 (*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/2 1/2)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))))))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2))) 3))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))) 1))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(fma.f64 (*.f64 x x) 1/2 (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x -1/2 1/2)))
(*.f64 (fma.f64 x -1/2 1/2) (*.f64 x x))

localize27.0ms (0.7%)

Local error

Found 1 expressions with local error:

NewErrorProgram
100.0%
(+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))
Compiler

Compiled 47 to 33 computations (29.8% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite135.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
1000×associate-*r/
904×*-commutative
642×associate-*l/
604×distribute-lft-in
586×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
119921
2262921
Stop Event
node limit
Counts
1 → 92
Calls
Call 1
Inputs
(+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))
Outputs
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simplify130.0ms (3.4%)

Algorithm
egg-herbie
Rules
1628×associate-*r/
1224×associate-*l/
992×associate-+l+
980×associate-+r+
590×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02767232
18146162
238746158
Stop Event
node limit
Counts
104 → 165
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 2)) (*.f64 -1 x)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(-.f64 1 (+.f64 x (*.f64 (*.f64 x x) -1/2)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) (-.f64 1 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) 1)
(-.f64 (exp.f64 (log.f64 (-.f64 2 x))) (+.f64 1 (*.f64 (*.f64 x x) -1/2)))
(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 (/.f64 x (/.f64 (+.f64 x 1) x)) (*.f64 1/2 (*.f64 x x))))
(-.f64 (/.f64 1 (+.f64 1 (fma.f64 x x x))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x))) (*.f64 1/2 (*.f64 x x))))
(-.f64 (/.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1))) (/.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1))))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 x x)) (exp.f64 (log.f64 (-.f64 2 x)))) 1)
(-.f64 (+.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 1 (+.f64 x 1))) (/.f64 x (/.f64 (+.f64 x 1) x)))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 1 (+.f64 1 (fma.f64 x x x)))) (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x))))
(-.f64 (+.f64 (-.f64 1 x) (fma.f64 x (*.f64 x 1/2) 1)) 1)
(-.f64 (+.f64 (fma.f64 x (*.f64 x 1/2) 1) 0) x)
(*.f64 1 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))
(*.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 1)
(*.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))
(*.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1))))
(*.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))))
(*.f64 (/.f64 1 (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1))) (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)))
(*.f64 (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3)))
(*.f64 (/.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)) (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2))) (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))
(*.f64 (/.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)) (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3))) (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3)) (-.f64 (*.f64 (*.f64 1/2 (*.f64 x x)) (pow.f64 (*.f64 1/2 (*.f64 x x)) 3)) (*.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)))))) (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3)) (+.f64 (pow.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) 3) (pow.f64 (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))) 3))) (+.f64 (*.f64 (*.f64 1/2 (*.f64 x x)) (pow.f64 (*.f64 1/2 (*.f64 x x)) 3)) (*.f64 (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))) (-.f64 (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))) (*.f64 1/4 (*.f64 x (pow.f64 x 3)))))))
(/.f64 1 (/.f64 1 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))
(/.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) (/.f64 (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1)) (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)) (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1)))
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3)) (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)))))
(/.f64 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)))) (/.f64 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)))) (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3))) (/.f64 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2))) (/.f64 (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1)) (sqrt.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3)))) (/.f64 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2))) (cbrt.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)))) (/.f64 (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1)) (cbrt.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 3)) 1/64) (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3))) (*.f64 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)))) (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 1/4 (*.f64 x (pow.f64 x 3)))) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)))
(/.f64 (-.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (fma.f64 x (*.f64 x 1/2) 1)) (*.f64 x x)) (+.f64 x (fma.f64 x (*.f64 x 1/2) 1)))
(/.f64 (-.f64 (*.f64 (*.f64 1/2 (*.f64 x x)) (pow.f64 (*.f64 1/2 (*.f64 x x)) 3)) (*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 x) 3))) (*.f64 (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1)) (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 1/4 (*.f64 x (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) 3) (pow.f64 (pow.f64 (-.f64 1 x) 3) 3)) (*.f64 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 3)) 1/64) (*.f64 (pow.f64 (-.f64 1 x) 3) (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (*.f64 1/2 (*.f64 x x)) 3))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 3) (pow.f64 x 3)) (+.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (fma.f64 x (*.f64 x 1/2) 1)) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x 1/2) 1)))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) 3) (pow.f64 (pow.f64 (-.f64 1 x) 2) 3)) (*.f64 (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1)) (+.f64 (*.f64 (*.f64 1/2 (*.f64 x x)) (pow.f64 (*.f64 1/2 (*.f64 x x)) 3)) (*.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 1/4 (*.f64 x (pow.f64 x 3))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2))) (neg.f64 (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (fma.f64 x (*.f64 x 1/2) 1)) (*.f64 x x))) (+.f64 x (fma.f64 x (*.f64 x 1/2) 1)))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 3) (pow.f64 x 3))) (+.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (fma.f64 x (*.f64 x 1/2) 1)) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x 1/2) 1)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3)))) (sqrt.f64 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) (sqrt.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)))) (sqrt.f64 (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 2) (cbrt.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3)))) (cbrt.f64 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 2) (cbrt.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)))) (cbrt.f64 (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 1/4 (*.f64 x (pow.f64 x 3)))) 1) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)))
(/.f64 (*.f64 (-.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (fma.f64 x (*.f64 x 1/2) 1)) (*.f64 x x)) 1) (+.f64 x (fma.f64 x (*.f64 x 1/2) 1)))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 3) (pow.f64 x 3)) 1) (+.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (fma.f64 x (*.f64 x 1/2) 1)) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x 1/2) 1)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2))) 1) (neg.f64 (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3))) 1) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3))) (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) (sqrt.f64 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2))) (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) (sqrt.f64 (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 2)) (cbrt.f64 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 2)) (cbrt.f64 (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 1/2 (*.f64 x x)) (pow.f64 (*.f64 1/2 (*.f64 x x)) 3)) (*.f64 (-.f64 1 x) (pow.f64 (-.f64 1 x) 3))) (/.f64 1 (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1)))) (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 1/4 (*.f64 x (pow.f64 x 3)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) 3) (pow.f64 (pow.f64 (-.f64 1 x) 2) 3)) (/.f64 1 (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1)))) (+.f64 (*.f64 (*.f64 1/2 (*.f64 x x)) (pow.f64 (*.f64 1/2 (*.f64 x x)) 3)) (*.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 1/4 (*.f64 x (pow.f64 x 3)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 3)) 1/64) (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3))) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)))))) (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) 3) (pow.f64 (pow.f64 (-.f64 1 x) 3) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)))))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 3)) 1/64) (*.f64 (pow.f64 (-.f64 1 x) 3) (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (*.f64 1/2 (*.f64 x x)) 3)))))
(/.f64 (/.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)) 1) (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1)))
(/.f64 (/.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1)))) (sqrt.f64 (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1))))
(/.f64 (/.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)) (*.f64 (cbrt.f64 (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1))) (cbrt.f64 (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1))))) (cbrt.f64 (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1))))
(/.f64 (/.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)) (+.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 x (sqrt.f64 1/2)))) (-.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3)) 1) (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3)) (sqrt.f64 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)))))) (sqrt.f64 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))) (cbrt.f64 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))))) (cbrt.f64 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))))
(pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 1)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 2)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)) (neg.f64 (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3)) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)))))))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))
(exp.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(fma.f64 (*.f64 x 1/2) x (-.f64 1 x))
(fma.f64 1 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x))
(fma.f64 1 (-.f64 1 x) (*.f64 1/2 (*.f64 x x)))
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 1/2 (*.f64 x x)))
(fma.f64 (*.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)) (-.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (*.f64 1/2 (*.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 2) (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (-.f64 1 x))
(fma.f64 (*.f64 x x) 1/2 (-.f64 1 x))
Outputs
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x (*.f64 x 1/2)) x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x (*.f64 x 1/2)) x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(-.f64 1 (+.f64 x (*.f64 (*.f64 x 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 x (*.f64 x 1/2) (-.f64 1 x))
(-.f64 (fma.f64 x (*.f64 x 1/2) 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 (fma.f64 x (*.f64 x 1/2) 1) (-.f64 1 (-.f64 1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
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(/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (-.f64 1 x) 3)) 1) (fma.f64 1/4 (*.f64 x (pow.f64 x 3)) (*.f64 (-.f64 1 x) (+.f64 (*.f64 (*.f64 x x) -1/2) (-.f64 1 x)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (-.f64 1 x) 3)) (fma.f64 (-.f64 1 x) (-.f64 (fma.f64 x (*.f64 x -1/2) 1) x) (*.f64 1/4 (pow.f64 x 4))))
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (-.f64 1 x) 3)) (fma.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 (-.f64 1 x)) (*.f64 1/4 (pow.f64 x 4))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))) (cbrt.f64 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))))) (cbrt.f64 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2))))))
(/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (-.f64 1 x) 3)) 1) (fma.f64 1/4 (*.f64 x (pow.f64 x 3)) (*.f64 (-.f64 1 x) (+.f64 (*.f64 (*.f64 x x) -1/2) (-.f64 1 x)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (-.f64 1 x) 3)) (fma.f64 (-.f64 1 x) (-.f64 (fma.f64 x (*.f64 x -1/2) 1) x) (*.f64 1/4 (pow.f64 x 4))))
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (-.f64 1 x) 3)) (fma.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 (-.f64 1 x)) (*.f64 1/4 (pow.f64 x 4))))
(pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 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))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 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))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 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))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 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))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(neg.f64 (/.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)) (neg.f64 (+.f64 x (-.f64 (*.f64 1/2 (*.f64 x x)) 1)))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (pow.f64 (-.f64 1 x) 2)) (+.f64 x (fma.f64 1/2 (*.f64 x x) -1)))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 1 x) 2)) (+.f64 x (fma.f64 1/2 (*.f64 x x) -1)))
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 1 x) 3)) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 x (pow.f64 x 3))) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)))))))
(/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (-.f64 1 x) 3)) 1) (fma.f64 1/4 (*.f64 x (pow.f64 x 3)) (*.f64 (-.f64 1 x) (+.f64 (*.f64 (*.f64 x x) -1/2) (-.f64 1 x)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (-.f64 1 x) 3)) (fma.f64 (-.f64 1 x) (-.f64 (fma.f64 x (*.f64 x -1/2) 1) x) (*.f64 1/4 (pow.f64 x 4))))
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (-.f64 1 x) 3)) (fma.f64 (-.f64 1 x) (fma.f64 (*.f64 x x) -1/2 (-.f64 1 x)) (*.f64 1/4 (pow.f64 x 4))))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 2))
(fabs.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/2) x)))
(fabs.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))
(log.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 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))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 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))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 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))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 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))
(exp.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 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))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 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))
(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 1/2) 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 x (*.f64 x 1/2) (-.f64 1 x))
(fma.f64 1 (*.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 x (*.f64 x 1/2) (-.f64 1 x))
(fma.f64 1 (-.f64 1 x) (*.f64 1/2 (*.f64 x 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))
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 1/2 (*.f64 x 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))
(fma.f64 (*.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)) (-.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (*.f64 1/2 (*.f64 x 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))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 2) (cbrt.f64 (*.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 x (*.f64 x 1/2) (-.f64 1 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 x (*.f64 x 1/2) (-.f64 1 x))

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
100.0%
(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
@-inf
(atan.f64 (-.f64 1 x))
0.0ms
x
@0
(atan.f64 (-.f64 1 x))
0.0ms
x
@inf
(atan.f64 (-.f64 1 x))

rewrite84.0ms (2.2%)

Algorithm
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
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))))))))

simplify103.0ms (2.7%)

Algorithm
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
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))

eval243.0ms (6.4%)

Compiler

Compiled 7145 to 5276 computations (26.2% saved)

prune58.0ms (1.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New2281229
Fresh000
Picked011
Done033
Total2285233
Error
100.0%
Counts
233 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
99.6%
(*.f64 2 (atan.f64 (-.f64 1 x)))
99.7%
(*.f64 2 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
99.8%
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))))
100.0%
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
98.8%
(*.f64 2 (atan.f64 1))
Compiler

Compiled 54 to 44 computations (18.5% saved)

localize10.0ms (0.3%)

Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done044
Total055
Error
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
99.6%
(*.f64 2 (atan.f64 (-.f64 1 x)))
99.7%
(*.f64 2 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
99.8%
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))))
100.0%
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
98.8%
(*.f64 2 (atan.f64 1))
Compiler

Compiled 54 to 44 computations (18.5% saved)

regimes28.0ms (0.7%)

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

5 calls:

9.0ms
x
4.0ms
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
4.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
4.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
4.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))
Results
ErrorSegmentsBranch
100.0%1x
100.0%1(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
100.0%1(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
100.0%1(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
100.0%1(/.f64 (-.f64 1 x) (+.f64 1 x))
Compiler

Compiled 91 to 72 computations (20.9% saved)

regimes10.0ms (0.3%)

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

1 calls:

7.0ms
x
Results
ErrorSegmentsBranch
99.8%1x
Compiler

Compiled 41 to 32 computations (22% saved)

regimes9.0ms (0.2%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
Outputs
(*.f64 2 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
Calls

1 calls:

7.0ms
x
Results
ErrorSegmentsBranch
99.7%1x
Compiler

Compiled 25 to 20 computations (20% saved)

regimes7.0ms (0.2%)

Accuracy

Total -0.5b remaining (-181.3%)

Threshold costs -0.50b (-181.3%)

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

1 calls:

6.0ms
x
Results
ErrorSegmentsBranch
99.6%1x
Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify14.0ms (0.4%)

Algorithm
egg-herbie
Rules
20×*-commutative
14×+-commutative
sub-neg
1-exp
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031143
149143
254143
356143
457143
Stop Event
done
saturated
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))))
(*.f64 2 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 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 1 (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2))) x))))
(*.f64 2 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 1))
Compiler

Compiled 54 to 44 computations (18.5% saved)

soundness0.0ms (0%)

end61.0ms (1.6%)

Compiler

Compiled 50 to 40 computations (20% saved)

Profiling

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