Details

Time bar (total: 11.3s)

analyze102.0ms (0.9%)

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
50%50%50%0%0%0%0%3
75%75%25%0%0%0%0%4
75%75%25%0%0%0%0%5
75%75%25%0%0%0%0%6
78.1%78.1%21.9%0%0%0%0%7
78.1%78.1%21.9%0%0%0%0%8
78.1%78.1%21.9%0%0%0%0%9
78.1%78.1%21.9%0%0%0%0%10
78.1%78.1%21.9%0%0%0%0%11
78.1%78.1%21.9%0%0%0%0%12
Compiler

Compiled 10 to 7 computations (30% saved)

sample2.8s (24.6%)

Results
1.3s2047×body2048valid
487.0ms3440×body256valid
405.0ms1158×body1024valid
363.0ms1510×body512valid
55.0ms101×body4096valid
Bogosity

preprocess35.0ms (0.3%)

Algorithm
egg-herbie
Rules
416×fma-def
224×associate-*r*
212×associate-+l-
204×associate-/r*
182×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
11823
22923
34323
47723
513023
619723
734723
869823
9126123
10195023
11209023
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 10 to 7 computations (30% saved)

simplify152.0ms (1.3%)

Algorithm
egg-herbie
Rules
416×fma-def
224×associate-*r*
212×associate-+l-
204×associate-/r*
182×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
11823
22923
34323
47723
513023
619723
734723
869823
9126123
10195023
11209023
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
31.3b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
31.3b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
1.9b
(-.f64 1 (cos.f64 x))
16.1b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 20 to 9 computations (55% saved)

series1.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite103.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1514×associate-*r/
1354×associate-/r*
1182×associate-/l*
1142×associate-*l/
872×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0934
119034
2263634
Stop Event
node limit
Counts
2 → 121
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 1 (cos.f64 x))
Outputs
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simplify116.0ms (1%)

Algorithm
egg-herbie
Rules
552×div-sub
432×associate-/l*
432×associate-+r+
390×associate-+l+
370×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03215119
18904897
239464843
Stop Event
node limit
Counts
137 → 198
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
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(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)
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(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)
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(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1))
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4))))
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
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(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x))))
(sqrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4)))
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
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(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
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(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (/.f64 1 (+.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (+.f64 1 (cos.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (*.f64 1 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 1 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) 1) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) 1) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 (*.f64 1/2 x) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 (pow.f64 x -2) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4))))
(/.f64 (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))))
(/.f64 (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
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(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (*.f64 1 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (*.f64 1 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (fabs.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (fabs.f64 (sin.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (+.f64 1 (cos.f64 x)))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) 1) (neg.f64 (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) 1) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) 1) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (fabs.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (fabs.f64 (sin.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (+.f64 1 (cos.f64 x)))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (pow.f64 (cos.f64 x) 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 4)) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 4)) (+.f64 1 (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 4)) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4))) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (+.f64 1 (cos.f64 x))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 4))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (+.f64 1 (cos.f64 x))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (pow.f64 (cos.f64 x) 4))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) 1) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)))))
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 6))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 6))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) (+.f64 1 (pow.f64 (cos.f64 x) 6))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(-.f64 1 (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(-.f64 1 (cos.f64 x))
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(-.f64 1 (cos.f64 x))
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(-.f64 1 (cos.f64 x))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))
(-.f64 1 (cos.f64 x))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(-.f64 1 (cos.f64 x))
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))

eval107.0ms (0.9%)

Compiler

Compiled 4007 to 2144 computations (46.5% saved)

prune68.0ms (0.6%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New18315198
Fresh000
Picked011
Done000
Total18316199
Error
0b
Counts
199 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
30.3b
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
30.8b
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
31.1b
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3)
31.3b
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
31.3b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
31.3b
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))
17.4b
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
17.0b
(/.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (*.f64 x x))
16.8b
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
31.2b
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
30.8b
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))
32.4b
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
30.3b
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
31.3b
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
31.3b
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
31.4b
1/2
Compiler

Compiled 403 to 290 computations (28% saved)

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
16.3b
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
Compiler

Compiled 33 to 18 computations (45.5% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite82.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
960×unswap-sqr
834×swap-sqr
410×sqr-pow
408×pow-sqr
382×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01154
123954
2332754
Stop Event
node limit
Counts
2 → 100
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
Outputs
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simplify112.0ms (1%)

Algorithm
egg-herbie
Rules
1428×associate-/r*
1248×associate-/l/
824×distribute-rgt-in
818×distribute-lft-in
728×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02845218
17604964
230944964
Stop Event
node limit
Counts
124 → 156
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) 1)
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))))
(*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))
(*.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1)
(*.f64 1 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 x -2)))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 x -2)))
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (/.f64 1 x))
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
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(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 4)) (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))) (sin.f64 x))
(*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 4)) (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2)))
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(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 x x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 x x)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 x) 4)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) x) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 x x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) (pow.f64 (cbrt.f64 x) 4)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) (neg.f64 (tan.f64 (*.f64 x 1/2))))
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(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
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(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 x x)) (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))
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(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))))
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(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6))
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2) (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2))
(pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/3)
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1)
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))))
(neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))) 1))
(neg.f64 (*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 x (neg.f64 x)))))
(neg.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x)))))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2)))))
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x)))
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 x x)))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 1)
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1)
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) 1)
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1)
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 1 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 x -2)))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)))
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
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(*.f64 (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)))))
(*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)))))
(*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2) (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1)
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 2)
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3)
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/3)
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1)
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))) 1))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(neg.f64 (*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 x (neg.f64 x)))))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(neg.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x)))))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x)))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 x x)))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4))
(fabs.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))))
(fabs.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) (pow.f64 x 6)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 3) (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 1))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 1)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 3)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 2))
(fabs.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 -1/24 (*.f64 x x))
Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 -1/24 (*.f64 x x))
0.0ms
x
@0
(*.f64 -1/24 (*.f64 x x))
0.0ms
x
@-inf
(*.f64 -1/24 (*.f64 x x))

rewrite74.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1080×add-sqr-sqrt
1058×*-un-lft-identity
1006×pow1
990×add-cube-cbrt
982×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
112213
2141113
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 -1/24 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/24 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/576 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x))))))))

simplify37.0ms (0.3%)

Algorithm
egg-herbie
Rules
1470×distribute-rgt-in
1446×distribute-lft-in
1164×log-prod
760×associate-*r*
696×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038299
193299
2348299
31913299
Stop Event
node limit
Counts
23 → 14
Calls
Call 1
Inputs
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)
(pow.f64 (*.f64 -1/24 (*.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3) 1/3)
(sqrt.f64 (*.f64 1/576 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x))))
Outputs
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(pow.f64 (*.f64 -1/24 (*.f64 x x)) 1)
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(pow.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 3)
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(pow.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3) 1/3)
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(sqrt.f64 (*.f64 1/576 (pow.f64 x 4)))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(log.f64 (pow.f64 (exp.f64 -1/24) (*.f64 x x)))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(cbrt.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x))))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x))))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(-.f64 1 (+.f64 1 (cos.f64 x)))
0.5b
(+.f64 1 (cos.f64 x))
1.9b
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)
16.1b
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))
Compiler

Compiled 38 to 23 computations (39.5% saved)

series1.0ms (0%)

Counts
4 → 44
Calls

12 calls:

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

rewrite153.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1732×associate-/r*
1178×associate-/l*
646×associate-/r/
538×associate-/l/
350×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01168
124954
2364554
Stop Event
node limit
Counts
4 → 326
Calls
Call 1
Inputs
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)
(+.f64 1 (cos.f64 x))
(-.f64 1 (+.f64 1 (cos.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1) (pow.f64 x -2)) (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1) (pow.f64 x -2)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1) (pow.f64 x -2)) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) -1) (pow.f64 x -2)) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 3) 1)) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (neg.f64 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (pow.f64 x -2)) (-.f64 (*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (pow.f64 (neg.f64 (cos.f64 x)) 2)) (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (pow.f64 x -2)) (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) 3))) (+.f64 (*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (pow.f64 (neg.f64 (cos.f64 x)) 2)) (-.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (*.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (+.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 3 (+.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 2 (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 2 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 (cos.f64 x) 2)) (-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (+.f64 (cos.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) (-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (neg.f64 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simplify180.0ms (1.6%)

Algorithm
egg-herbie
Rules
1422×associate-*r*
1272×associate-*l*
1086×associate-/r*
1030×associate-/l*
888×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078715200
1241114544
Stop Event
node limit
Counts
370 → 542
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) 1)
-1
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) 1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) 1)
(*.f64 -1 (cos.f64 x))
(*.f64 -1 (cos.f64 x))
(*.f64 -1 (cos.f64 x))
(*.f64 -1 (cos.f64 x))
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(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3))) (-.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (-.f64 1 (*.f64 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) (-.f64 (neg.f64 (cos.f64 x)) (pow.f64 (+.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (+.f64 1 (pow.f64 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)) 3))) (-.f64 (+.f64 1 (*.f64 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3))) (-.f64 (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (-.f64 1 (*.f64 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) (-.f64 (neg.f64 (cos.f64 x)) (pow.f64 (+.f64 1 (cos.f64 x)) 2)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (+.f64 1 (pow.f64 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)) 3))) (-.f64 (+.f64 1 (*.f64 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))
(/.f64 1 (/.f64 1 (neg.f64 (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (+.f64 (cos.f64 x) 2))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (/.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))) 1))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (/.f64 (+.f64 (cos.f64 x) 2) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3))) (/.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)))) (/.f64 (+.f64 (cos.f64 x) 2) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)))) (/.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) (+.f64 (cos.f64 x) 2))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (*.f64 (-.f64 -1 (cos.f64 x)) (-.f64 -1 (cos.f64 x)))) (+.f64 (cos.f64 x) 2))
(/.f64 (-.f64 0 (pow.f64 (cos.f64 x) 2)) (cos.f64 x))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (*.f64 (+.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3))) (*.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 -1 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (-.f64 -1 (cos.f64 x))) (-.f64 -1 (cos.f64 x)))))
(/.f64 (-.f64 0 (pow.f64 (cos.f64 x) 3)) (+.f64 0 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 0 (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) 3)) (*.f64 (+.f64 (cos.f64 x) 2) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (*.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) 3)) (*.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (*.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2))) (neg.f64 (+.f64 (cos.f64 x) 2)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) (+.f64 (cos.f64 x) 2))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (sqrt.f64 (+.f64 (cos.f64 x) 2))) (sqrt.f64 (+.f64 (cos.f64 x) 2)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 2)) (cbrt.f64 (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 (cos.f64 x) 2)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) 1) (+.f64 (cos.f64 x) 2))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) (sqrt.f64 (+.f64 (cos.f64 x) 2))) (sqrt.f64 (+.f64 (cos.f64 x) 2)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 2)) (cbrt.f64 (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 (cos.f64 x) 2)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) 1) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))
(pow.f64 (neg.f64 (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (neg.f64 (cos.f64 x)) 3) 1/3)
(neg.f64 (cos.f64 x))
(sqrt.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2))
(log.f64 (exp.f64 (neg.f64 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (neg.f64 (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (log.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (neg.f64 (cos.f64 x))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x 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 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8)))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/2 (*.f64 x x)))
(+.f64 2 (*.f64 x (*.f64 x -1/2)))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/24)))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -1/720))))
(+.f64 (cos.f64 x) 1)
(+.f64 1 (cos.f64 x))
(+.f64 (cos.f64 x) 1)
(+.f64 1 (cos.f64 x))
(+.f64 (cos.f64 x) 1)
(+.f64 1 (cos.f64 x))
(+.f64 (cos.f64 x) 1)
(+.f64 1 (cos.f64 x))
-1
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)
(fma.f64 1/2 (*.f64 x x) -1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) 1)
(+.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4))) -1)
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (fma.f64 1/2 (*.f64 x x) -1))
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) 1)
(+.f64 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6)))) -1)
(+.f64 (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))) (fma.f64 1/2 (*.f64 x x) -1))
(*.f64 -1 (cos.f64 x))
(neg.f64 (cos.f64 x))
(*.f64 -1 (cos.f64 x))
(neg.f64 (cos.f64 x))
(*.f64 -1 (cos.f64 x))
(neg.f64 (cos.f64 x))
(*.f64 -1 (cos.f64 x))
(neg.f64 (cos.f64 x))
(*.f64 -1 (cos.f64 x))
(neg.f64 (cos.f64 x))
(*.f64 -1 (cos.f64 x))
(neg.f64 (cos.f64 x))
(*.f64 -1 (cos.f64 x))
(neg.f64 (cos.f64 x))
(*.f64 -1 (cos.f64 x))
(neg.f64 (cos.f64 x))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
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(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (*.f64 (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x)))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) 1) (+.f64 (cos.f64 x) 2))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (+.f64 2 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) (sqrt.f64 (+.f64 (cos.f64 x) 2))) (sqrt.f64 (+.f64 (cos.f64 x) 2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (*.f64 (sqrt.f64 (+.f64 2 (cos.f64 x))) (sqrt.f64 (+.f64 2 (cos.f64 x)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) 1) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 2)) (cbrt.f64 (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 (cos.f64 x) 2)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (+.f64 2 (cos.f64 x))) (*.f64 (cbrt.f64 (+.f64 2 (cos.f64 x))) (cbrt.f64 (+.f64 2 (cos.f64 x))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) 1) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (*.f64 (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x)))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) 1) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (cos.f64 x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 2 (cos.f64 x))))))))
(pow.f64 (neg.f64 (cos.f64 x)) 1)
(neg.f64 (cos.f64 x))
(pow.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) 2)
(neg.f64 (cos.f64 x))
(pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) 3)
(neg.f64 (cos.f64 x))
(pow.f64 (pow.f64 (neg.f64 (cos.f64 x)) 3) 1/3)
(neg.f64 (cos.f64 x))
(neg.f64 (cos.f64 x))
(sqrt.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2))
(log.f64 (exp.f64 (neg.f64 (cos.f64 x))))
(neg.f64 (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 (cos.f64 x)))))
(neg.f64 (cos.f64 x))
(cbrt.f64 (pow.f64 (neg.f64 (cos.f64 x)) 3))
(neg.f64 (cos.f64 x))
(expm1.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(neg.f64 (cos.f64 x))
(exp.f64 (log.f64 (neg.f64 (cos.f64 x))))
(neg.f64 (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (neg.f64 (cos.f64 x))) 1))
(neg.f64 (cos.f64 x))
(log1p.f64 (expm1.f64 (neg.f64 (cos.f64 x))))
(neg.f64 (cos.f64 x))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
1.7b
(log1p.f64 (neg.f64 (cos.f64 x)))
16.1b
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
Compiler

Compiled 28 to 7 computations (75% saved)

series67.0ms (0.6%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
44.0ms
x
@inf
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
22.0ms
x
@-inf
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
1.0ms
x
@0
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
0.0ms
x
@0
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
0.0ms
x
@0
(log1p.f64 (neg.f64 (cos.f64 x)))

rewrite68.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1856×add-sqr-sqrt
1840×*-un-lft-identity
1712×add-cube-cbrt
1690×add-cbrt-cube
200×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01059
120343
2265743
Stop Event
node limit
Counts
3 → 76
Calls
Call 1
Inputs
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
(log1p.f64 (neg.f64 (cos.f64 x)))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) 1) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (cos.f64 x) 1)) (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) 1) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) x) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 (+.f64 (cos.f64 x) 1) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (cos.f64 x) 1) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (cos.f64 x)) (log.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (cos.f64 x)) (log.f64 (pow.f64 x -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (cos.f64 x))) (sqrt.f64 (log1p.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2) (cbrt.f64 (log1p.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (cos.f64 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (cos.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (sqrt.f64 (+.f64 (cos.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (cbrt.f64 (+.f64 (cos.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (cos.f64 x)))) (sqrt.f64 (log1p.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log1p.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2)) (cbrt.f64 (log1p.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (cos.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) 1)))))))

simplify73.0ms (0.6%)

Algorithm
egg-herbie
Rules
1520×associate-/l*
1406×associate-*r/
1104×distribute-lft-in
1072×distribute-rgt-in
936×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02032790
14942308
225482308
Stop Event
node limit
Counts
112 → 136
Calls
Call 1
Inputs
(/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))
(+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)) (*.f64 -1/12 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))))
(+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)) (+.f64 (*.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))) (*.f64 -1/12 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))))))
(+.f64 (*.f64 -1/20160 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4))) (+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)) (+.f64 (*.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))) (*.f64 -1/12 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))
(+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))
(+.f64 (*.f64 -1/1440 (pow.f64 x 4)) (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))))
(+.f64 (*.f64 -1/1440 (pow.f64 x 4)) (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1/90720 (pow.f64 x 6)) (*.f64 2 (log.f64 x))))))
(log.f64 (-.f64 1 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))
(+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))))
(+.f64 (*.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4))) (+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)))))
(+.f64 (*.f64 -1/20160 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 6))) (+.f64 (*.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4))) (+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))) 1)
(*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))
(*.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 1)
(*.f64 1 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2)))
(*.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))
(*.f64 (/.f64 (+.f64 (cos.f64 x) 1) x) (/.f64 1 x))
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) 1))
(*.f64 (neg.f64 (+.f64 (cos.f64 x) 1)) (/.f64 1 (*.f64 x (neg.f64 x))))
(*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) 1) x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) 1) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 x x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 x x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) x) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))
(pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 3) 1/3)
(pow.f64 (/.f64 x (/.f64 (+.f64 (cos.f64 x) 1) x)) -1)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) 1) (*.f64 x (neg.f64 x))))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))
(exp.f64 (+.f64 (log1p.f64 (cos.f64 x)) (log.f64 (pow.f64 x -2))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (cos.f64 x)) (log.f64 (pow.f64 x -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))
(+.f64 0 (log1p.f64 (cos.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (cos.f64 x)))) 1)
(*.f64 (log1p.f64 (cos.f64 x)) 1)
(*.f64 1 (log1p.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 (cos.f64 x))) (sqrt.f64 (log1p.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2) (cbrt.f64 (log1p.f64 (cos.f64 x))))
(pow.f64 (log1p.f64 (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 2))
(log.f64 (+.f64 (cos.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (cos.f64 x))) 1))
(+.f64 (cos.f64 x) 1)
(+.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (cos.f64 x) 1))) 1)
(*.f64 (+.f64 (cos.f64 x) 1) 1)
(*.f64 1 (+.f64 (cos.f64 x) 1))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (sqrt.f64 (+.f64 (cos.f64 x) 1)))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (cbrt.f64 (+.f64 (cos.f64 x) 1)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) 1))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(pow.f64 (+.f64 (cos.f64 x) 1) 1)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (cos.f64 x)))) (sqrt.f64 (log1p.f64 (cos.f64 x))))
(pow.f64 (exp.f64 1) (log1p.f64 (cos.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2)) (cbrt.f64 (log1p.f64 (cos.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 x) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 x) 1))))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) 1)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) 1)))
Outputs
(/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))
(/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x))
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x))
(*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x)))
(+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)) (*.f64 -1/12 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))))
(+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x)) (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) -1/12))
(+.f64 (*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) (*.f64 -1/24 (*.f64 x x)))
(+.f64 (*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x))) (*.f64 (*.f64 x x) -1/24))
(+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)) (+.f64 (*.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))) (*.f64 -1/12 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))))))
(+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x)) (fma.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x)) (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) -1/12)))
(+.f64 (*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x)) (fma.f64 1/360 (*.f64 1/2 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 x x))))
(+.f64 (*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x))) (fma.f64 1/360 (*.f64 1/2 (pow.f64 x 4)) (*.f64 (*.f64 x x) -1/24)))
(+.f64 (*.f64 -1/20160 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4))) (+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)) (+.f64 (*.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))) (*.f64 -1/12 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))))))
(fma.f64 -1/20160 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4)) (+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x)) (fma.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x)) (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) -1/12))))
(+.f64 (fma.f64 1/360 (*.f64 1/2 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 x x))) (fma.f64 (*.f64 -1/40320 (*.f64 x x)) (pow.f64 x 4) (*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x))))
(+.f64 (fma.f64 1/360 (*.f64 1/2 (pow.f64 x 4)) (*.f64 (*.f64 x x) -1/24)) (fma.f64 (*.f64 (*.f64 x x) -1/40320) (pow.f64 x 4) (*.f64 (/.f64 1/2 x) (/.f64 x (/.f64 x x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/2))
(+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))
(fma.f64 -1/12 (*.f64 x x) (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))
(fma.f64 (*.f64 x x) -1/12 (fma.f64 2 (log.f64 x) (log.f64 1/2)))
(+.f64 (*.f64 -1/1440 (pow.f64 x 4)) (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))))
(fma.f64 -1/1440 (pow.f64 x 4) (fma.f64 -1/12 (*.f64 x x) (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))))
(fma.f64 (pow.f64 x 4) -1/1440 (fma.f64 (*.f64 x x) -1/12 (fma.f64 2 (log.f64 x) (log.f64 1/2))))
(+.f64 (*.f64 -1/1440 (pow.f64 x 4)) (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1/90720 (pow.f64 x 6)) (*.f64 2 (log.f64 x))))))
(fma.f64 -1/1440 (pow.f64 x 4) (fma.f64 -1/12 (*.f64 x x) (+.f64 (log.f64 1/2) (fma.f64 -1/90720 (pow.f64 x 6) (*.f64 2 (log.f64 x))))))
(fma.f64 (pow.f64 x 4) -1/1440 (+.f64 (fma.f64 (*.f64 x x) -1/12 (fma.f64 2 (log.f64 x) (log.f64 1/2))) (*.f64 -1/90720 (pow.f64 x 6))))
(+.f64 (fma.f64 (pow.f64 x 4) -1/1440 (fma.f64 (*.f64 x x) -1/12 (fma.f64 2 (log.f64 x) (log.f64 1/2)))) (*.f64 -1/90720 (pow.f64 x 6)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log1p.f64 (neg.f64 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log1p.f64 (neg.f64 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log1p.f64 (neg.f64 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log1p.f64 (neg.f64 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log1p.f64 (neg.f64 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log1p.f64 (neg.f64 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log1p.f64 (neg.f64 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log1p.f64 (neg.f64 (cos.f64 x)))
(exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))
(*.f64 1/2 (*.f64 x x))
(+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))))
(+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x))))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/12 (*.f64 1/2 (pow.f64 x 4))))
(+.f64 (*.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4))) (+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)))))
(fma.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4)) (+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x)))))
(fma.f64 (*.f64 1/720 (*.f64 x x)) (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/12 (*.f64 1/2 (pow.f64 x 4)))))
(fma.f64 (*.f64 (*.f64 x x) 1/720) (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/12 (*.f64 1/2 (pow.f64 x 4)))))
(+.f64 (*.f64 -1/20160 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 6))) (+.f64 (*.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4))) (+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))))))
(fma.f64 -1/20160 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 6)) (fma.f64 1/360 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 4)) (+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 x x))))))
(fma.f64 (*.f64 -1/40320 (*.f64 x x)) (pow.f64 x 6) (fma.f64 (*.f64 1/720 (*.f64 x x)) (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/12 (*.f64 1/2 (pow.f64 x 4))))))
(fma.f64 (*.f64 (*.f64 x x) -1/40320) (pow.f64 x 6) (fma.f64 (*.f64 (*.f64 x x) 1/720) (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/12 (*.f64 1/2 (pow.f64 x 4))))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))) 1)
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 1)
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 1 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2)))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2)))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 2))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (+.f64 (cos.f64 x) 1) x) (/.f64 1 x))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) 1))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (neg.f64 (+.f64 (cos.f64 x) 1)) (/.f64 1 (*.f64 x (neg.f64 x))))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) 1) x))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) 1) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 x x)))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (*.f64 x x)))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) x) (/.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) x))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))))
(pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 1)
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) x) 2)
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))) 3)
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 3) 1/3)
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (/.f64 x (/.f64 (+.f64 (cos.f64 x) 1) x)) -1)
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) 1) (*.f64 x (neg.f64 x))))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2) (pow.f64 x 4)))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 x -2)))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)))))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2)) 3))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(exp.f64 (+.f64 (log1p.f64 (cos.f64 x)) (log.f64 (pow.f64 x -2))))
(exp.f64 (+.f64 (log1p.f64 (cos.f64 x)) (*.f64 -2 (log.f64 x))))
(*.f64 (pow.f64 x -2) (exp.f64 (log1p.f64 (cos.f64 x))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (cos.f64 x)) (log.f64 (pow.f64 x -2))) 1))
(exp.f64 (+.f64 (log1p.f64 (cos.f64 x)) (*.f64 -2 (log.f64 x))))
(*.f64 (pow.f64 x -2) (exp.f64 (log1p.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x -2))))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 0 (log1p.f64 (cos.f64 x)))
(log1p.f64 (cos.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1))))
(log1p.f64 (cos.f64 x))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1))))
(log1p.f64 (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (cos.f64 x)))) 1)
(log1p.f64 (cos.f64 x))
(*.f64 (log1p.f64 (cos.f64 x)) 1)
(log1p.f64 (cos.f64 x))
(*.f64 1 (log1p.f64 (cos.f64 x)))
(log1p.f64 (cos.f64 x))
(*.f64 (sqrt.f64 (log1p.f64 (cos.f64 x))) (sqrt.f64 (log1p.f64 (cos.f64 x))))
(log1p.f64 (cos.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2))
(log1p.f64 (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2) (cbrt.f64 (log1p.f64 (cos.f64 x))))
(log1p.f64 (cos.f64 x))
(pow.f64 (log1p.f64 (cos.f64 x)) 1)
(log1p.f64 (cos.f64 x))
(pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 x))) 2)
(log1p.f64 (cos.f64 x))
(pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 3)
(log1p.f64 (cos.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 3) 1/3)
(log1p.f64 (cos.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 2))
(fabs.f64 (log1p.f64 (cos.f64 x)))
(log.f64 (+.f64 (cos.f64 x) 1))
(log1p.f64 (cos.f64 x))
(cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 x)) 3))
(log1p.f64 (cos.f64 x))
(expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 x))))
(log1p.f64 (cos.f64 x))
(exp.f64 (log.f64 (log1p.f64 (cos.f64 x))))
(log1p.f64 (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (cos.f64 x))) 1))
(log1p.f64 (cos.f64 x))
(+.f64 (cos.f64 x) 1)
(+.f64 1 (cos.f64 x))
(+.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (cos.f64 x) 1))) 1)
(+.f64 1 (cos.f64 x))
(*.f64 (+.f64 (cos.f64 x) 1) 1)
(+.f64 1 (cos.f64 x))
(*.f64 1 (+.f64 (cos.f64 x) 1))
(+.f64 1 (cos.f64 x))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) (sqrt.f64 (+.f64 (cos.f64 x) 1)))
(+.f64 1 (cos.f64 x))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2))
(+.f64 1 (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 2) (cbrt.f64 (+.f64 (cos.f64 x) 1)))
(+.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) 1))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(pow.f64 (+.f64 (cos.f64 x) 1) 1)
(+.f64 1 (cos.f64 x))
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 x) 1)) 2)
(+.f64 1 (cos.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) 1)) 3)
(+.f64 1 (cos.f64 x))
(pow.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3) 1/3)
(+.f64 1 (cos.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (cos.f64 x)))) (sqrt.f64 (log1p.f64 (cos.f64 x))))
(exp.f64 (log1p.f64 (cos.f64 x)))
(pow.f64 (exp.f64 1) (log1p.f64 (cos.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (cos.f64 x)))) (sqrt.f64 (log1p.f64 (cos.f64 x))))
(exp.f64 (log1p.f64 (cos.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 x))) 2)) (cbrt.f64 (log1p.f64 (cos.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (cos.f64 x)))) (sqrt.f64 (log1p.f64 (cos.f64 x))))
(exp.f64 (log1p.f64 (cos.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 2))
(sqrt.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 2))
(fabs.f64 (+.f64 1 (cos.f64 x)))
(log.f64 (exp.f64 (+.f64 (cos.f64 x) 1)))
(+.f64 1 (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 x) 1))))
(+.f64 1 (cos.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) 1) 3))
(+.f64 1 (cos.f64 x))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) 1)))
(+.f64 1 (cos.f64 x))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) 1)))
(+.f64 1 (cos.f64 x))

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3)
1.9b
(-.f64 1 (cos.f64 x))
15.9b
(cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
16.8b
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
Compiler

Compiled 42 to 28 computations (33.3% saved)

series7.0ms (0.1%)

Counts
3 → 20
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@0
(cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
1.0ms
x
@0
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3)
1.0ms
x
@inf
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3)
0.0ms
x
@-inf
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3)
0.0ms
x
@inf
(cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))

rewrite128.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
940×*-commutative
926×unswap-sqr
590×swap-sqr
542×associate-*r/
442×sqr-pow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01373
127373
2298673
Stop Event
node limit
Counts
3 → 181
Calls
Call 1
Inputs
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 1 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) (-.f64 1 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -2) (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 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x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))))

simplify132.0ms (1.2%)

Algorithm
egg-herbie
Rules
1666×associate-/r*
1548×distribute-lft-in
1246×associate-/r/
618×associate-*l*
596×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039010213
110289165
240109141
Stop Event
node limit
Counts
201 → 232
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(cbrt.f64 1/2)
(+.f64 (cbrt.f64 1/2) (*.f64 -1/72 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 1/2) 2))))
(+.f64 (cbrt.f64 1/2) (+.f64 (*.f64 1/12960 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 -1/72 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 1/2) 2)))))
(+.f64 (cbrt.f64 1/2) (+.f64 (*.f64 1/12960 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/2) 2))) (+.f64 (*.f64 -1/72 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 1/373248 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 6))) 13/1088640) (pow.f64 x 6)) (pow.f64 (cbrt.f64 1/2) 2))))))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 (+.f64 11/12960 (*.f64 (+.f64 (*.f64 1/12960 (/.f64 1 (cbrt.f64 1/2))) (+.f64 (*.f64 1/12960 (/.f64 1 (cbrt.f64 1/2))) (*.f64 1/5184 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))))) (cbrt.f64 1/2))) (pow.f64 x 4))))
(+.f64 (*.f64 (pow.f64 x 6) (-.f64 (+.f64 (*.f64 (-.f64 (*.f64 2/3 (/.f64 (-.f64 (*.f64 1/373248 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 6))) 13/1088640) (cbrt.f64 1/2))) (*.f64 1/466560 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) (cbrt.f64 1/2)) (+.f64 (*.f64 -1/72 (/.f64 (+.f64 (*.f64 1/12960 (/.f64 1 (cbrt.f64 1/2))) (+.f64 (*.f64 1/12960 (/.f64 1 (cbrt.f64 1/2))) (*.f64 1/5184 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))))) (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 1/3 (-.f64 (*.f64 1/373248 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 6))) 13/1088640)))) 1/233280)) (+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 (+.f64 11/12960 (*.f64 (+.f64 (*.f64 1/12960 (/.f64 1 (cbrt.f64 1/2))) (+.f64 (*.f64 1/12960 (/.f64 1 (cbrt.f64 1/2))) (*.f64 1/5184 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))))) (cbrt.f64 1/2))) (pow.f64 x 4)))))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(+.f64 (pow.f64 x -2) (*.f64 1 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))))
(+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1))
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) (-.f64 1 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)
(/.f64 (pow.f64 x -2) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (pow.f64 x -2)))
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (*.f64 1 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (*.f64 (pow.f64 x -2) (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (*.f64 (pow.f64 x -2) (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (pow.f64 x -2) (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1) x)
(/.f64 (*.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (*.f64 (pow.f64 x -2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (*.f64 (pow.f64 x -2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (pow.f64 x -2)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (pow.f64 x -2)) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (pow.f64 x -2)) (+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x)) x)
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) 4))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) 4))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3)
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) 6)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) 4) 3/2)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) 1)
(*.f64 1 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 1)
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) 4)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) 4) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) 4) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) 4)) (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) 4) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) 4) 1/6)) (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))
(*.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 1/6) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 1/6)) (*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 1/6) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 1/6)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 3/2))
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(/.f64 (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x)) x)
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) 4))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) 4))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 (*.f64 -1/24 x) x)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(cbrt.f64 1/2)
(+.f64 (cbrt.f64 1/2) (*.f64 -1/72 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 1/2) 2))))
(+.f64 (cbrt.f64 1/2) (*.f64 -1/72 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 1/2) 2))))
(fma.f64 -1/72 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 1/2) 2) x)) (cbrt.f64 1/2))
(+.f64 (cbrt.f64 1/2) (+.f64 (*.f64 1/12960 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 -1/72 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 1/2) 2)))))
(+.f64 (cbrt.f64 1/2) (fma.f64 1/12960 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/2) 2)) (*.f64 -1/72 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 1/2) 2)))))
(+.f64 (cbrt.f64 1/2) (fma.f64 -1/72 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 1/2) 2) x)) (*.f64 1/12960 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/2) 2)))))
(+.f64 (cbrt.f64 1/2) (fma.f64 1/12960 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/2) 2)) (*.f64 (/.f64 -1/72 (pow.f64 (cbrt.f64 1/2) 2)) (*.f64 x x))))
(+.f64 (cbrt.f64 1/2) (+.f64 (*.f64 1/12960 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/2) 2))) (+.f64 (*.f64 -1/72 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 1/373248 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 6))) 13/1088640) (pow.f64 x 6)) (pow.f64 (cbrt.f64 1/2) 2))))))
(+.f64 (cbrt.f64 1/2) (fma.f64 1/12960 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/2) 2)) (fma.f64 -1/72 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 1/2) 2)) (*.f64 1/3 (/.f64 (+.f64 (/.f64 1/373248 (pow.f64 (cbrt.f64 1/2) 6)) -13/1088640) (/.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 x 6)))))))
(+.f64 (cbrt.f64 1/2) (fma.f64 1/12960 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/2) 2)) (fma.f64 -1/72 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 1/2) 2) x)) (/.f64 (*.f64 -1/2449440 (pow.f64 x 6)) (pow.f64 (cbrt.f64 1/2) 2)))))
(+.f64 (cbrt.f64 1/2) (fma.f64 1/12960 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/2) 2)) (fma.f64 -1/72 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 1/2) 2) x)) (*.f64 (/.f64 -1/2449440 (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 x 6)))))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 (+.f64 11/12960 (*.f64 (+.f64 (*.f64 1/12960 (/.f64 1 (cbrt.f64 1/2))) (+.f64 (*.f64 1/12960 (/.f64 1 (cbrt.f64 1/2))) (*.f64 1/5184 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))))) (cbrt.f64 1/2))) (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 (pow.f64 x 4) (+.f64 11/12960 (*.f64 (cbrt.f64 1/2) (+.f64 (/.f64 1/12960 (cbrt.f64 1/2)) (+.f64 (/.f64 1/12960 (cbrt.f64 1/2)) (/.f64 1/5184 (pow.f64 (cbrt.f64 1/2) 4)))))))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 (pow.f64 x 4) (fma.f64 (cbrt.f64 1/2) (+.f64 (/.f64 1/5184 (*.f64 1/2 (cbrt.f64 1/2))) (*.f64 2 (/.f64 1/12960 (cbrt.f64 1/2)))) 11/12960))))
(+.f64 1/2 (fma.f64 (pow.f64 x 4) (fma.f64 (cbrt.f64 1/2) (+.f64 (/.f64 1/2592 (cbrt.f64 1/2)) (*.f64 2 (/.f64 1/12960 (cbrt.f64 1/2)))) 11/12960) (*.f64 (*.f64 -1/24 x) x)))
(+.f64 (*.f64 (pow.f64 x 6) (-.f64 (+.f64 (*.f64 (-.f64 (*.f64 2/3 (/.f64 (-.f64 (*.f64 1/373248 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 6))) 13/1088640) (cbrt.f64 1/2))) (*.f64 1/466560 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) (cbrt.f64 1/2)) (+.f64 (*.f64 -1/72 (/.f64 (+.f64 (*.f64 1/12960 (/.f64 1 (cbrt.f64 1/2))) (+.f64 (*.f64 1/12960 (/.f64 1 (cbrt.f64 1/2))) (*.f64 1/5184 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))))) (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 1/3 (-.f64 (*.f64 1/373248 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 6))) 13/1088640)))) 1/233280)) (+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 (+.f64 11/12960 (*.f64 (+.f64 (*.f64 1/12960 (/.f64 1 (cbrt.f64 1/2))) (+.f64 (*.f64 1/12960 (/.f64 1 (cbrt.f64 1/2))) (*.f64 1/5184 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))))) (cbrt.f64 1/2))) (pow.f64 x 4)))))
(fma.f64 (pow.f64 x 6) (+.f64 (fma.f64 (fma.f64 2/3 (/.f64 (+.f64 (/.f64 1/373248 (pow.f64 (cbrt.f64 1/2) 6)) -13/1088640) (cbrt.f64 1/2)) (neg.f64 (/.f64 1/466560 (pow.f64 (cbrt.f64 1/2) 4)))) (cbrt.f64 1/2) (fma.f64 -1/72 (/.f64 (+.f64 (/.f64 1/12960 (cbrt.f64 1/2)) (+.f64 (/.f64 1/12960 (cbrt.f64 1/2)) (/.f64 1/5184 (pow.f64 (cbrt.f64 1/2) 4)))) (pow.f64 (cbrt.f64 1/2) 2)) (*.f64 1/3 (+.f64 (/.f64 1/373248 (pow.f64 (cbrt.f64 1/2) 6)) -13/1088640)))) -1/233280) (+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 (pow.f64 x 4) (+.f64 11/12960 (*.f64 (cbrt.f64 1/2) (+.f64 (/.f64 1/12960 (cbrt.f64 1/2)) (+.f64 (/.f64 1/12960 (cbrt.f64 1/2)) (/.f64 1/5184 (pow.f64 (cbrt.f64 1/2) 4))))))))))
(fma.f64 (pow.f64 x 6) (+.f64 (fma.f64 (cbrt.f64 1/2) (+.f64 (/.f64 -1/1224720 (cbrt.f64 1/2)) (/.f64 -1/466560 (*.f64 1/2 (cbrt.f64 1/2)))) (*.f64 -1/72 (/.f64 (+.f64 (/.f64 1/5184 (*.f64 1/2 (cbrt.f64 1/2))) (*.f64 2 (/.f64 1/12960 (cbrt.f64 1/2)))) (pow.f64 (cbrt.f64 1/2) 2)))) -23/4898880) (+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 (pow.f64 x 4) (fma.f64 (cbrt.f64 1/2) (+.f64 (/.f64 1/5184 (*.f64 1/2 (cbrt.f64 1/2))) (*.f64 2 (/.f64 1/12960 (cbrt.f64 1/2)))) 11/12960)))))
(fma.f64 (pow.f64 x 6) (+.f64 (fma.f64 (cbrt.f64 1/2) (+.f64 (/.f64 -1/1224720 (cbrt.f64 1/2)) (/.f64 -1/233280 (cbrt.f64 1/2))) (*.f64 (/.f64 -1/72 (pow.f64 (cbrt.f64 1/2) 2)) (+.f64 (/.f64 1/2592 (cbrt.f64 1/2)) (*.f64 2 (/.f64 1/12960 (cbrt.f64 1/2)))))) -23/4898880) (+.f64 1/2 (fma.f64 (pow.f64 x 4) (fma.f64 (cbrt.f64 1/2) (+.f64 (/.f64 1/2592 (cbrt.f64 1/2)) (*.f64 2 (/.f64 1/12960 (cbrt.f64 1/2)))) 11/12960) (*.f64 (*.f64 -1/24 x) x))))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (pow.f64 x -2) (*.f64 1 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) (-.f64 1 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))))
(-.f64 (expm1.f64 (log1p.f64 (pow.f64 x -2))) (*.f64 (cos.f64 x) (pow.f64 x -2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (pow.f64 x -2) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (pow.f64 x -2))
(*.f64 (pow.f64 x -2) (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (pow.f64 x -2) (*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (pow.f64 x -2)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (pow.f64 x -2))
(*.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (pow.f64 x -2))
(*.f64 (pow.f64 x -2) (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (pow.f64 x -2) (*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (pow.f64 x -2))
(*.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 1 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (pow.f64 x -2))
(*.f64 (pow.f64 x -2) (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (pow.f64 x -2) (*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x)))
(/.f64 (*.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (pow.f64 x -2))
(*.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (pow.f64 x -2) (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (pow.f64 x -2))
(*.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (pow.f64 x -2) (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) -1) (/.f64 (+.f64 -1 (neg.f64 (cos.f64 x))) (pow.f64 x -2)))
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(*.f64 (pow.f64 x -2) (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (pow.f64 x -2) (*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (pow.f64 x -2))
(*.f64 (pow.f64 x -2) (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (pow.f64 x -2) (*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (pow.f64 x -2))
(*.f64 (pow.f64 x -2) (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (pow.f64 x -2) (*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (pow.f64 x -2))
(*.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (pow.f64 x -2))
(*.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))) (pow.f64 x -2))
(*.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (cos.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 4))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))

eval742.0ms (6.6%)

Compiler

Compiled 27058 to 16934 computations (37.4% saved)

prune253.0ms (2.2%)

Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New1188101198
Fresh5510
Picked101
Done235
Total1196181214
Error
0b
Counts
1214 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
30.8b
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
32.8b
(pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) 3)
31.3b
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
31.4b
(/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x))
31.3b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
31.3b
(/.f64 (+.f64 (/.f64 1 (/.f64 1 (neg.f64 (cos.f64 x)))) 1) (*.f64 x x))
46.0b
(/.f64 (+.f64 -1 1) (*.f64 x x))
16.8b
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
31.3b
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
32.4b
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
30.3b
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
16.8b
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x))
16.8b
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
47.7b
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x))
31.3b
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
30.8b
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x))
17.2b
(*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
31.4b
1/2
Compiler

Compiled 347 to 250 computations (28% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
15.7b
(/.f64 (sin.f64 x) (*.f64 x x))
Compiler

Compiled 32 to 14 computations (56.3% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite97.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1458×associate-*l/
1232×associate-/r*
1098×*-commutative
948×associate-/l*
674×swap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01150
122950
2301450
Stop Event
node limit
Counts
2 → 172
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) (*.f64 x x))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 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#<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x (sin.f64 x)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 x) (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 1 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) (sin.f64 (*.f64 x 1/2))))))) 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simplify133.0ms (1.2%)

Algorithm
egg-herbie
Rules
1314×associate-/l*
742×distribute-rgt-in
736×distribute-lft-in
598×associate-/r*
594×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04607134
112617088
257627088
Stop Event
node limit
Counts
196 → 239
Calls
Call 1
Inputs
(/.f64 1 x)
(+.f64 (*.f64 -1/6 x) (/.f64 1 x))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (/.f64 1 x)))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 x) (/.f64 1 x))))
(/.f64 (sin.f64 x) (pow.f64 x 2))
(/.f64 (sin.f64 x) (pow.f64 x 2))
(/.f64 (sin.f64 x) (pow.f64 x 2))
(/.f64 (sin.f64 x) (pow.f64 x 2))
(/.f64 (sin.f64 x) (pow.f64 x 2))
(/.f64 (sin.f64 x) (pow.f64 x 2))
(/.f64 (sin.f64 x) (pow.f64 x 2))
(/.f64 (sin.f64 x) (pow.f64 x 2))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)))) 1)
(*.f64 (sin.f64 x) (pow.f64 x -2))
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 1)
(*.f64 1 (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 x -2)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 x -2)))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) 2))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 1 x))
(*.f64 (pow.f64 x -2) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (*.f64 x x)))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 x -2)) (sqrt.f64 (sin.f64 x)))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4))))
(*.f64 (/.f64 -1 (*.f64 x x)) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 x x)) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 x x)) (/.f64 (sqrt.f64 (sin.f64 x)) 1))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (/.f64 (cbrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (*.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 x x)) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x))) (cbrt.f64 (sin.f64 x)))
(pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 x (sin.f64 x)) x) -1)
(neg.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) 1))
(neg.f64 (*.f64 (sin.f64 x) (/.f64 -1 (*.f64 x x))))
(neg.f64 (*.f64 1 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x)))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 2))
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) 1)
(/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) x))
(/.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1)
(/.f64 1 (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))
(/.f64 1 (/.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) (sin.f64 (*.f64 x 1/2))))
(/.f64 1 (*.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (*.f64 x x) (*.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))))
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (*.f64 x x) (*.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x)))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x x))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 (*.f64 x (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (*.f64 (*.f64 x (neg.f64 x)) (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) 1))
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 (*.f64 x x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) x)) (sqrt.f64 (*.f64 (/.f64 x (sin.f64 x)) x)))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 x (/.f64 (sqrt.f64 (sin.f64 x)) x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) x)
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 x 4)) (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 (*.f64 x x) (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)) (/.f64 1 (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 x (neg.f64 x)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))) (*.f64 x (cos.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (tan.f64 (*.f64 x 1/2))) (/.f64 x (/.f64 (cbrt.f64 (sin.f64 x)) x)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) 1) (tan.f64 (*.f64 x 1/2))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4))) (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x (sqrt.f64 x))) (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (tan.f64 (*.f64 x 1/2))) (cbrt.f64 x))
(/.f64 (*.f64 -1 (tan.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x (neg.f64 x)) (sin.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (tan.f64 (*.f64 x 1/2))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 x) (pow.f64 x -2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 1) (*.f64 (*.f64 x x) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (sin.f64 (*.f64 x 1/2))) 1) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 1) x)
(/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) 1) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 x 4)) (tan.f64 (*.f64 x 1/2)))) 1) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))) 1) (*.f64 x (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 1) (*.f64 (*.f64 x (neg.f64 x)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) x)
(/.f64 (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) x))) (sqrt.f64 (*.f64 (/.f64 x (sin.f64 x)) x)))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) x))) x)
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) x))) (sqrt.f64 (*.f64 x (neg.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) x))) (sqrt.f64 x))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 2)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (pow.f64 x -2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) x)
(/.f64 (*.f64 1 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 x (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 x (cbrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) x)
(/.f64 (*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (cbrt.f64 x))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) 1) (*.f64 (/.f64 x (sin.f64 x)) x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x)))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (cbrt.f64 (*.f64 (/.f64 x (sin.f64 x)) x)) (cbrt.f64 (*.f64 (/.f64 x (sin.f64 x)) x)))) (cbrt.f64 (*.f64 (/.f64 x (sin.f64 x)) x)))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sqrt.f64 (sin.f64 x)))) (/.f64 x (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 x (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 1 (sqrt.f64 (sin.f64 x)))) (/.f64 x (/.f64 (sqrt.f64 (sin.f64 x)) x)))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 x (/.f64 (cbrt.f64 (sin.f64 x)) x)))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) 1)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x)))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (sin.f64 (*.f64 x 1/2))) 1) (cos.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (sin.f64 (*.f64 x 1/2))) (*.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (sqrt.f64 (cbrt.f64 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) x) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) 1) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x)))) (sqrt.f64 (*.f64 x (neg.f64 x))))
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x))))) (cbrt.f64 (*.f64 x (neg.f64 x))))
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) -1) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (neg.f64 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 x 4)) (tan.f64 (*.f64 x 1/2)))) 1) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 x 4)) (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 x 4)) (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 x 4)) (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 x 4)) (tan.f64 (*.f64 x 1/2)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/3)
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) (tan.f64 (*.f64 x 1/2))))
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x)))))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
Outputs
(/.f64 1 x)
(+.f64 (*.f64 -1/6 x) (/.f64 1 x))
(fma.f64 -1/6 x (/.f64 1 x))
(fma.f64 x -1/6 (/.f64 1 x))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (/.f64 1 x)))
(fma.f64 1/120 (pow.f64 x 3) (fma.f64 -1/6 x (/.f64 1 x)))
(fma.f64 1/120 (pow.f64 x 3) (fma.f64 x -1/6 (/.f64 1 x)))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 x) (/.f64 1 x))))
(fma.f64 1/120 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 5) (fma.f64 -1/6 x (/.f64 1 x))))
(fma.f64 1/120 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 5) (fma.f64 x -1/6 (/.f64 1 x))))
(/.f64 (sin.f64 x) (pow.f64 x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/.f64 (sin.f64 x) (pow.f64 x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/.f64 (sin.f64 x) (pow.f64 x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/.f64 (sin.f64 x) (pow.f64 x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/.f64 (sin.f64 x) (pow.f64 x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/.f64 (sin.f64 x) (pow.f64 x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/.f64 (sin.f64 x) (pow.f64 x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
(/.f64 (sin.f64 x) (pow.f64 x 2))
(/.f64 (sin.f64 x) (*.f64 x x))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 (*.f64 -1/24 x) x)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)))) 1)
(/.f64 (sin.f64 x) (*.f64 x x))
(*.f64 (sin.f64 x) (pow.f64 x -2))
(/.f64 (sin.f64 x) (*.f64 x x))
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(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
15.5b
(/.f64 (+.f64 -1 1) (*.f64 x x))
Compiler

Compiled 17 to 11 computations (35.3% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite43.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
932×add-sqr-sqrt
916×*-un-lft-identity
872×pow1
848×add-cube-cbrt
842×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091
11561
213361
Stop Event
node limit
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (+.f64 -1 1) (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 0)))))

simplify32.0ms (0.3%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113
Stop Event
saturated
Counts
13 → 1
Calls
Call 1
Inputs
0
0
0
0
0
0
0
0
0
0
0
0
0
Outputs
0
0
0
0
0
0
0
0
0
0
0
0
0

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.6b
(/.f64 -1 (*.f64 x x))
1.9b
(+.f64 -1 (cos.f64 x))
16.8b
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
Compiler

Compiled 27 to 13 computations (51.9% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite86.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1048×*-commutative
902×unswap-sqr
878×associate-/r*
580×swap-sqr
498×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01053
122149
2300249
Stop Event
node limit
Counts
3 → 232
Calls
Call 1
Inputs
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(+.f64 -1 (cos.f64 x))
(/.f64 -1 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (+.f64 -1 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 x -2)) (/.f64 1 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify126.0ms (1.1%)

Algorithm
egg-herbie
Rules
1136×associate-/l*
858×associate-*r*
796×associate-*l*
738×associate-/r*
634×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05839542
117128576
Stop Event
node limit
Counts
268 → 329
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/40320 (pow.f64 x 8)))))
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (+.f64 -1 (cos.f64 x))))) 1)
(/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))))
(/.f64 -1 (/.f64 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 -1 (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (neg.f64 (pow.f64 x -2)) (/.f64 1 (+.f64 -1 (cos.f64 x))))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (+.f64 -1 (cos.f64 x))) 1)
(/.f64 1 (/.f64 (*.f64 x x) (+.f64 1 (neg.f64 (cos.f64 x)))))
(/.f64 1 (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 1 (/.f64 (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 -1 (cos.f64 x)))))
(/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (+.f64 -1 (cos.f64 x)))))
(/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 (+.f64 -1 (cos.f64 x)))))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 (/.f64 -1 x) (/.f64 (*.f64 x (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (/.f64 -1 x) (/.f64 (+.f64 x (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) x)) (+.f64 -1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (-.f64 -1 (cos.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 (pow.f64 x -2))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x))) -1))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) 1))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x (-.f64 -1 (cos.f64 x))) (/.f64 -1 x)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (neg.f64 (pow.f64 x -2))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) -1))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) 1))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 x (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) x)) (/.f64 -1 x)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (/.f64 (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))))
(/.f64 (sqrt.f64 (+.f64 1 (neg.f64 (cos.f64 x)))) (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 1 (neg.f64 (cos.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (/.f64 (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))))
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(/.f64 (-.f64 1 (*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 3))) (*.f64 (-.f64 -1 (cos.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (-.f64 (pow.f64 (cos.f64 x) 3) -1)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (-.f64 -1 (cos.f64 x)) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 2))))))
(/.f64 (sin.f64 x) (/.f64 (-.f64 -1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (-.f64 -1 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sqrt.f64 (-.f64 -1 (cos.f64 x)))) (sqrt.f64 (-.f64 -1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (cbrt.f64 (-.f64 -1 (cos.f64 x))) (cbrt.f64 (-.f64 -1 (cos.f64 x))))) (cbrt.f64 (-.f64 -1 (cos.f64 x))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (-.f64 -1 (cos.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(pow.f64 (+.f64 -1 (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3) 1/3)
(neg.f64 (+.f64 1 (neg.f64 (cos.f64 x))))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) 1)))
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))
(sqrt.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 -1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3))
(expm1.f64 (log.f64 (+.f64 0 (cos.f64 x))))
(exp.f64 (log.f64 (+.f64 -1 (cos.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 -1 (cos.f64 x))))
(fma.f64 1 (cos.f64 x) -1)
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) -1)
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 x -2)))) 1)
(*.f64 -1 (pow.f64 x -2))
(*.f64 (neg.f64 (pow.f64 x -2)) 1)
(*.f64 1 (neg.f64 (pow.f64 x -2)))
(*.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x))
(*.f64 (/.f64 (sqrt.f64 -1) x) (neg.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (neg.f64 (*.f64 -1 (cbrt.f64 (neg.f64 (pow.f64 x -2))))))
(*.f64 (/.f64 -1 x) (/.f64 1 x))
(*.f64 (pow.f64 x -2) -1)
(*.f64 (sqrt.f64 (pow.f64 x -2)) (neg.f64 (sqrt.f64 (pow.f64 x -2))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -2))) (neg.f64 (cbrt.f64 (pow.f64 x -2))))
(*.f64 (*.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))))
(*.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)) (neg.f64 (/.f64 (sqrt.f64 -1) x)))
(*.f64 (/.f64 1 x) (/.f64 -1 x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2))))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 -1) x)) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (*.f64 -1 (cbrt.f64 (neg.f64 (pow.f64 x -2)))))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 x -2))) (sqrt.f64 (pow.f64 x -2)))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -2)))) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (neg.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) (/.f64 (sqrt.f64 -1) x))
(*.f64 (neg.f64 (*.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (cbrt.f64 (neg.f64 (pow.f64 x -2))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (*.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))))
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))))) (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (cbrt.f64 (/.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (cbrt.f64 (/.f64 (sqrt.f64 -1) x))))
(pow.f64 (neg.f64 (pow.f64 x -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2)
(pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3) 1/3)
(pow.f64 (*.f64 x (neg.f64 x)) -1)
(neg.f64 (pow.f64 x -2))
(sqrt.f64 (/.f64 1 (pow.f64 x 4)))
(log.f64 (exp.f64 (neg.f64 (pow.f64 x -2))))
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3))
(expm1.f64 (log1p.f64 (neg.f64 (pow.f64 x -2))))
(exp.f64 (log.f64 (neg.f64 (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (neg.f64 (pow.f64 x -2))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 1/24 (pow.f64 x 4) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 (pow.f64 x 4) 1/24 (*.f64 x (*.f64 x -1/2)))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6))))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 6) -1/720)))
(fma.f64 (pow.f64 x 4) 1/24 (fma.f64 (pow.f64 x 6) -1/720 (*.f64 x (*.f64 x -1/2))))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/40320 (pow.f64 x 8)))))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/720 (pow.f64 x 6) (*.f64 1/40320 (pow.f64 x 8)))))
(fma.f64 (pow.f64 x 4) 1/24 (fma.f64 -1/2 (*.f64 x x) (fma.f64 (pow.f64 x 6) -1/720 (*.f64 1/40320 (pow.f64 x 8)))))
(-.f64 (cos.f64 x) 1)
(+.f64 -1 (cos.f64 x))
(-.f64 (cos.f64 x) 1)
(+.f64 -1 (cos.f64 x))
(-.f64 (cos.f64 x) 1)
(+.f64 -1 (cos.f64 x))
(-.f64 (cos.f64 x) 1)
(+.f64 -1 (cos.f64 x))
(-.f64 (cos.f64 x) 1)
(+.f64 -1 (cos.f64 x))
(-.f64 (cos.f64 x) 1)
(+.f64 -1 (cos.f64 x))
(-.f64 (cos.f64 x) 1)
(+.f64 -1 (cos.f64 x))
(-.f64 (cos.f64 x) 1)
(+.f64 -1 (cos.f64 x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (+.f64 -1 (cos.f64 x))))) 1)
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(/.f64 -1 (/.f64 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (/.f64 -1 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x)))) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 x -2) (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (-.f64 -1 (cos.f64 x)))
(/.f64 -1 (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 -1 (*.f64 x (*.f64 x (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x (fma.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) x)))
(/.f64 (neg.f64 (pow.f64 x -2)) (/.f64 1 (+.f64 -1 (cos.f64 x))))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (+.f64 -1 (cos.f64 x))) 1)
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(/.f64 1 (/.f64 (*.f64 x x) (+.f64 1 (neg.f64 (cos.f64 x)))))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(/.f64 1 (/.f64 (*.f64 (-.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 1 (*.f64 (/.f64 (-.f64 -1 (cos.f64 x)) (sin.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (neg.f64 x)) (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 x))))
(/.f64 1 (/.f64 (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (/.f64 (*.f64 x (neg.f64 x)) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 (neg.f64 x) (fma.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) x)))
(/.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 -1 (cos.f64 x)))))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (+.f64 -1 (cos.f64 x)))))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 (+.f64 -1 (cos.f64 x)))))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 -1 x) (/.f64 (*.f64 x (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (/.f64 -1 (*.f64 (*.f64 x x) (-.f64 -1 (cos.f64 x)))) (*.f64 (sin.f64 x) (sin.f64 x)))
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(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1)))
(pow.f64 (+.f64 -1 (cos.f64 x)) 1)
(+.f64 -1 (cos.f64 x))
(pow.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) 2)
(+.f64 -1 (cos.f64 x))
(pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 3)
(+.f64 -1 (cos.f64 x))
(pow.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3) 1/3)
(+.f64 -1 (cos.f64 x))
(neg.f64 (+.f64 1 (neg.f64 (cos.f64 x))))
(+.f64 -1 (cos.f64 x))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) 1)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) 1))
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 -1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 -1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 2))
(fabs.f64 (+.f64 -1 (cos.f64 x)))
(log.f64 (exp.f64 (+.f64 -1 (cos.f64 x))))
(+.f64 -1 (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (cos.f64 x)))))
(+.f64 -1 (cos.f64 x))
(cbrt.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3))
(+.f64 -1 (cos.f64 x))
(expm1.f64 (log.f64 (+.f64 0 (cos.f64 x))))
(+.f64 -1 (cos.f64 x))
(exp.f64 (log.f64 (+.f64 -1 (cos.f64 x))))
(+.f64 -1 (cos.f64 x))
(log1p.f64 (expm1.f64 (+.f64 -1 (cos.f64 x))))
(+.f64 -1 (cos.f64 x))
(fma.f64 1 (cos.f64 x) -1)
(+.f64 -1 (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) -1)
(+.f64 -1 (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) -1)
(+.f64 -1 (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 x -2)))) 1)
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(*.f64 -1 (pow.f64 x -2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(*.f64 (neg.f64 (pow.f64 x -2)) 1)
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(*.f64 1 (neg.f64 (pow.f64 x -2)))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x))
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2)
(*.f64 (/.f64 (sqrt.f64 -1) x) (neg.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2)
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2))))
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (neg.f64 (*.f64 -1 (cbrt.f64 (neg.f64 (pow.f64 x -2))))))
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))
(*.f64 (/.f64 -1 x) (/.f64 1 x))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(*.f64 (pow.f64 x -2) -1)
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(*.f64 (sqrt.f64 (pow.f64 x -2)) (neg.f64 (sqrt.f64 (pow.f64 x -2))))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -2))) (neg.f64 (cbrt.f64 (pow.f64 x -2))))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(*.f64 (*.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))))
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))
(*.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)) (neg.f64 (/.f64 (sqrt.f64 -1) x)))
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2)
(*.f64 (/.f64 1 x) (/.f64 -1 x))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2))))
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 (pow.f64 x 4))))
(/.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 -1) x)) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2)
(*.f64 (neg.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (*.f64 -1 (cbrt.f64 (neg.f64 (pow.f64 x -2)))))
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 x -2))) (sqrt.f64 (pow.f64 x -2)))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -2)))) (cbrt.f64 (pow.f64 x -2)))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(*.f64 (neg.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) (/.f64 (sqrt.f64 -1) x))
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2)
(*.f64 (neg.f64 (*.f64 -1 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (cbrt.f64 (neg.f64 (pow.f64 x -2))))
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (*.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (cbrt.f64 (/.f64 (sqrt.f64 -1) x))))
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))))) (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))))))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (cbrt.f64 (/.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (cbrt.f64 (/.f64 (sqrt.f64 -1) x))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) x)) (cbrt.f64 (/.f64 (sqrt.f64 -1) x))))
(pow.f64 (neg.f64 (pow.f64 x -2)) 1)
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(pow.f64 (/.f64 (sqrt.f64 -1) x) 2)
(pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) 3)
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(pow.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3) 1/3)
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(pow.f64 (*.f64 x (neg.f64 x)) -1)
(/.f64 1 (*.f64 x (neg.f64 x)))
(neg.f64 (pow.f64 x -2))
(/.f64 -1 (*.f64 x x))
(sqrt.f64 (/.f64 1 (pow.f64 x 4)))
(log.f64 (exp.f64 (neg.f64 (pow.f64 x -2))))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -2)))))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(cbrt.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(expm1.f64 (log1p.f64 (neg.f64 (pow.f64 x -2))))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(exp.f64 (log.f64 (neg.f64 (pow.f64 x -2))))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))
(log1p.f64 (expm1.f64 (neg.f64 (pow.f64 x -2))))
(/.f64 -1 (*.f64 x x))
(neg.f64 (pow.f64 x -2))

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (-.f64 1 (cos.f64 x)))
0.2b
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
1.9b
(-.f64 1 (cos.f64 x))
16.1b
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
Compiler

Compiled 38 to 23 computations (39.5% saved)

series2.0ms (0%)

Counts
3 → 28
Calls

9 calls:

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

rewrite83.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1300×associate-/l*
1008×*-commutative
664×associate-/l/
646×associate-/r/
580×swap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01151
124551
2307651
Stop Event
node limit
Counts
3 → 195
Calls
Call 1
Inputs
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 1 (-.f64 1 (cos.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1))))))))

simplify111.0ms (1%)

Algorithm
egg-herbie
Rules
1004×associate-+r+
772×associate-*l*
762×associate-*r*
552×+-commutative
540×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04787021
113656723
261216723
Stop Event
node limit
Counts
223 → 301
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(/.f64 2 (pow.f64 x 2))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
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(+.f64 (*.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (+.f64 (*.f64 1/3024 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2)))
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(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (neg.f64 (*.f64 x x))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
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(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
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(*.f64 (/.f64 (pow.f64 x -2) 1) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 x -2) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 x -2) -1) (+.f64 (cos.f64 x) -1))
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (+.f64 (cos.f64 x) -1))) -1)
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)))
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(*.f64 (/.f64 (*.f64 (pow.f64 x -2) -1) 1) (+.f64 (cos.f64 x) -1))
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) -1) -1) (-.f64 1 (cos.f64 x)))
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x x))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x x))) 1))
(neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (neg.f64 (*.f64 x x)))))
(neg.f64 (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x x)))))
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2))
(log.f64 (exp.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (*.f64 x x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)
(-.f64 1 (cos.f64 x))
(-.f64 1 (/.f64 (cos.f64 x) 1))
(-.f64 0 (-.f64 (cos.f64 x) 1))
(-.f64 (exp.f64 (log.f64 (-.f64 2 (cos.f64 x)))) 1)
(-.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x))))
(-.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (neg.f64 (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(*.f64 -1 (+.f64 (cos.f64 x) -1))
(*.f64 (+.f64 (cos.f64 x) -1) -1)
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) (neg.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (cbrt.f64 (+.f64 (cos.f64 x) -1))) (neg.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) -1) (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) -1) (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))) -1))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))) -1) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) -1))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) -1) (cbrt.f64 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 1))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) 1) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) -1) (cbrt.f64 (+.f64 (cos.f64 x) -1)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1))) (sqrt.f64 (+.f64 (cos.f64 x) -1)))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (cbrt.f64 (+.f64 (cos.f64 x) -1)))) (cbrt.f64 (+.f64 (cos.f64 x) -1)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) -1)
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(neg.f64 (+.f64 (cos.f64 x) -1))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) -1)))
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 -1 (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(+.f64 (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) 1) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (cos.f64 x)))
(+.f64 (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (cos.f64 x)) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) 1))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cos.f64 x)))
(+.f64 (*.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 (cos.f64 x) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))))
(+.f64 (*.f64 1 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(+.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 1 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(+.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (cos.f64 x) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)))) 1)
(*.f64 1 (/.f64 -1 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 1)
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 x) -1)))))
(*.f64 (+.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 -1 (/.f64 1 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) -1)
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(*.f64 (/.f64 -1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 -1 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 x) -1))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) -1) (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) -1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) -1) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) -1))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 (cos.f64 x)) -1))
(*.f64 (/.f64 1 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 -1 (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) 1) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) 1) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) -1) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(*.f64 (/.f64 -1 (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) 1) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) -1) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(*.f64 (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))
(*.f64 (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (+.f64 1 (pow.f64 (cos.f64 x) 3)))))
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))))
(pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 1)
(pow.f64 (-.f64 1 (cos.f64 x)) -1)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) 2)
(pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 3) 1/3)
(neg.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)))))
(cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1))))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
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(/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) 1)) (-.f64 1 (pow.f64 (cos.f64 x) 4)))
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 2)))))
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 6))) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (pow.f64 (cos.f64 x) 4) 1)))
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 6))) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 4))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))) (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))
(/.f64 -1 (+.f64 (cos.f64 x) -1))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))
(/.f64 -1 (+.f64 (cos.f64 x) -1))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)))) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (cbrt.f64 (+.f64 (cos.f64 x) -1)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) (neg.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1))))
(pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 1)
(/.f64 -1 (+.f64 (cos.f64 x) -1))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(pow.f64 (-.f64 1 (cos.f64 x)) -1)
(/.f64 -1 (+.f64 (cos.f64 x) -1))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) 2)
(/.f64 -1 (+.f64 (cos.f64 x) -1))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))) 3)
(/.f64 -1 (+.f64 (cos.f64 x) -1))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(pow.f64 (pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 3) 1/3)
(/.f64 -1 (+.f64 (cos.f64 x) -1))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(neg.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))
(/.f64 -1 (+.f64 (cos.f64 x) -1))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))
(fabs.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))
(log.f64 (exp.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1))))
(/.f64 -1 (+.f64 (cos.f64 x) -1))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)))))
(/.f64 -1 (+.f64 (cos.f64 x) -1))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) 3))
(/.f64 -1 (+.f64 (cos.f64 x) -1))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1))))
(/.f64 -1 (+.f64 (cos.f64 x) -1))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1))))
(/.f64 -1 (+.f64 (cos.f64 x) -1))
(/.f64 1 (-.f64 1 (cos.f64 x)))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(*.f64 -1/24 (*.f64 x x))
0.7b
(pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) 3)
16.5b
(cbrt.f64 (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))))
Compiler

Compiled 38 to 23 computations (39.5% saved)

series4.0ms (0%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) 3)
1.0ms
x
@0
(cbrt.f64 (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))))
0.0ms
x
@inf
(pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) 3)
0.0ms
x
@-inf
(pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) 3)
0.0ms
x
@inf
(cbrt.f64 (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))))

rewrite82.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
890×*-commutative
668×unswap-sqr
550×swap-sqr
392×sqr-pow
374×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01242
125734
2283234
Stop Event
node limit
Counts
2 → 143
Calls
Call 1
Inputs
(cbrt.f64 (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))))
(pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1/6) (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1/8 (*.f64 -1/13824 (pow.f64 x 6)))) (/.f64 1 (cbrt.f64 (+.f64 1/4 (+.f64 (*.f64 1/576 (pow.f64 x 4)) (*.f64 1/48 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1/4 (*.f64 1/576 (pow.f64 x 4)))) (/.f64 1 (cbrt.f64 (+.f64 1/2 (*.f64 x (*.f64 x 1/24))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 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(cbrt.f64 (+.f64 1/4 (+.f64 (*.f64 1/576 (pow.f64 x 4)) (*.f64 1/48 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (-.f64 1/4 (*.f64 1/576 (pow.f64 x 4))))) (cbrt.f64 (+.f64 1/2 (*.f64 x (*.f64 x 1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1/8 (*.f64 -1/13824 (pow.f64 x 6)))) 1) (cbrt.f64 (+.f64 1/4 (+.f64 (*.f64 1/576 (pow.f64 x 4)) (*.f64 1/48 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1/4 (*.f64 1/576 (pow.f64 x 4)))) 1) (cbrt.f64 (+.f64 1/2 (*.f64 x (*.f64 x 1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))) (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 -1/24 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/24 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 x (*.f64 x 1/24)))) (neg.f64 (/.f64 (*.f64 1/576 (pow.f64 x 4)) (+.f64 1/2 (*.f64 x (*.f64 x 1/24))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 x (*.f64 x 1/24)))) (/.f64 (*.f64 1/576 (pow.f64 x 4)) (+.f64 1/2 (*.f64 x (*.f64 x 1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (exp.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 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x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -1/24)) (*.f64 x (sqrt.f64 -1/24)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/576 (pow.f64 x 4))) (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/24 x) x 1/2)))))

simplify99.0ms (0.9%)

Algorithm
egg-herbie
Rules
1582×associate-/r*
596×associate-*r/
524×associate-*r*
464×associate-*l*
450×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03977317
110136233
236096129
Stop Event
node limit
Counts
151 → 234
Calls
Call 1
Inputs
(cbrt.f64 1/2)
(+.f64 (cbrt.f64 1/2) (*.f64 -1/72 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 1/2) 2))))
(+.f64 (*.f64 -1/5184 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/2) 5))) (+.f64 (cbrt.f64 1/2) (*.f64 -1/72 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 1/2) 2)))))
(+.f64 (*.f64 -1/5184 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/2) 5))) (+.f64 (*.f64 -5/1119744 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 1/2) 8))) (+.f64 (cbrt.f64 1/2) (*.f64 -1/72 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 1/2) 2))))))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))) -1)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(*.f64 1 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1/6) (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2) 1/6)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))
(*.f64 (cbrt.f64 (+.f64 1/8 (*.f64 -1/13824 (pow.f64 x 6)))) (/.f64 1 (cbrt.f64 (+.f64 1/4 (+.f64 (*.f64 1/576 (pow.f64 x 4)) (*.f64 1/48 (*.f64 x x)))))))
(*.f64 (cbrt.f64 (-.f64 1/4 (*.f64 1/576 (pow.f64 x 4)))) (/.f64 1 (cbrt.f64 (+.f64 1/2 (*.f64 x (*.f64 x 1/24))))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 3/2))
(*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2) 1/6)) (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))
(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 1/6) (pow.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 1/6) (pow.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 1/6)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))) (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))) (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 2))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 2))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 2)) (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 2)) (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1/6))))
(/.f64 1 (/.f64 (cbrt.f64 (+.f64 1/4 (+.f64 (*.f64 1/576 (pow.f64 x 4)) (*.f64 1/48 (*.f64 x x))))) (cbrt.f64 (+.f64 1/8 (*.f64 -1/13824 (pow.f64 x 6))))))
(/.f64 1 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x (*.f64 x 1/24)))) (cbrt.f64 (-.f64 1/4 (*.f64 1/576 (pow.f64 x 4))))))
(/.f64 (cbrt.f64 (+.f64 1/8 (*.f64 -1/13824 (pow.f64 x 6)))) (cbrt.f64 (+.f64 1/4 (+.f64 (*.f64 1/576 (pow.f64 x 4)) (*.f64 1/48 (*.f64 x x))))))
(/.f64 (cbrt.f64 (-.f64 1/4 (*.f64 1/576 (pow.f64 x 4)))) (cbrt.f64 (+.f64 1/2 (*.f64 x (*.f64 x 1/24)))))
(/.f64 (*.f64 1 (cbrt.f64 (+.f64 1/8 (*.f64 -1/13824 (pow.f64 x 6))))) (cbrt.f64 (+.f64 1/4 (+.f64 (*.f64 1/576 (pow.f64 x 4)) (*.f64 1/48 (*.f64 x x))))))
(/.f64 (*.f64 1 (cbrt.f64 (-.f64 1/4 (*.f64 1/576 (pow.f64 x 4))))) (cbrt.f64 (+.f64 1/2 (*.f64 x (*.f64 x 1/24)))))
(/.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (+.f64 1/8 (*.f64 -1/13824 (pow.f64 x 6))))) (cbrt.f64 (+.f64 1/4 (+.f64 (*.f64 1/576 (pow.f64 x 4)) (*.f64 1/48 (*.f64 x x))))))
(/.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (-.f64 1/4 (*.f64 1/576 (pow.f64 x 4))))) (cbrt.f64 (+.f64 1/2 (*.f64 x (*.f64 x 1/24)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/8 (*.f64 -1/13824 (pow.f64 x 6)))) 1) (cbrt.f64 (+.f64 1/4 (+.f64 (*.f64 1/576 (pow.f64 x 4)) (*.f64 1/48 (*.f64 x x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/4 (*.f64 1/576 (pow.f64 x 4)))) 1) (cbrt.f64 (+.f64 1/2 (*.f64 x (*.f64 x 1/24)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))) (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))) 1))
(pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 1)
(pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2/3)
(pow.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(+.f64 (*.f64 -1/24 (*.f64 x x)) 1/2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) -1)
(+.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 x (*.f64 x 1/24)))) (neg.f64 (/.f64 (*.f64 1/576 (pow.f64 x 4)) (+.f64 1/2 (*.f64 x (*.f64 x 1/24))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x)))) 1/2)
(-.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 x (*.f64 x 1/24)))) (/.f64 (*.f64 1/576 (pow.f64 x 4)) (+.f64 1/2 (*.f64 x (*.f64 x 1/24)))))
(-.f64 (+.f64 1/2 (exp.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x))))) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2))
(*.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 2) 3))
(*.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1)
(*.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))
(*.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1/6) (*.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1/6) (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2)))
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(fma.f64 (*.f64 x (sqrt.f64 -1/24)) (*.f64 x (sqrt.f64 -1/24)) 1/2)
(fma.f64 (cbrt.f64 (*.f64 1/576 (pow.f64 x 4))) (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 1/2)
(fma.f64 (*.f64 -1/24 x) x 1/2)
Outputs
(cbrt.f64 1/2)
(+.f64 (cbrt.f64 1/2) (*.f64 -1/72 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 1/2) 2))))
(+.f64 (cbrt.f64 1/2) (/.f64 (*.f64 -1/72 (*.f64 x x)) (pow.f64 (cbrt.f64 1/2) 2)))
(fma.f64 -1/72 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 1/2) 2) x)) (cbrt.f64 1/2))
(fma.f64 -1/72 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 1/2) 2)) x) (cbrt.f64 1/2))
(+.f64 (*.f64 -1/5184 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/2) 5))) (+.f64 (cbrt.f64 1/2) (*.f64 -1/72 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 1/2) 2)))))
(fma.f64 -1/5184 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/2) 5)) (+.f64 (cbrt.f64 1/2) (/.f64 (*.f64 -1/72 (*.f64 x x)) (pow.f64 (cbrt.f64 1/2) 2))))
(fma.f64 -1/5184 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/2) 5)) (fma.f64 -1/72 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 1/2) 2) x)) (cbrt.f64 1/2)))
(fma.f64 -1/5184 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/2) 5)) (fma.f64 -1/72 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 1/2) 2)) x) (cbrt.f64 1/2)))
(+.f64 (*.f64 -1/5184 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/2) 5))) (+.f64 (*.f64 -5/1119744 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 1/2) 8))) (+.f64 (cbrt.f64 1/2) (*.f64 -1/72 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 1/2) 2))))))
(fma.f64 -1/5184 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/2) 5)) (fma.f64 -5/1119744 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 1/2) 8)) (+.f64 (cbrt.f64 1/2) (/.f64 (*.f64 -1/72 (*.f64 x x)) (pow.f64 (cbrt.f64 1/2) 2)))))
(fma.f64 -1/5184 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/2) 5)) (fma.f64 -5/1119744 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 1/2) 8)) (fma.f64 -1/72 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 1/2) 2) x)) (cbrt.f64 1/2))))
(fma.f64 -1/5184 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/2) 5)) (fma.f64 -5/1119744 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 1/2) 8)) (fma.f64 -1/72 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 1/2) 2)) x) (cbrt.f64 1/2))))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))) -1)
(cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))) 1)
(cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))
(*.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 1)
(cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))
(*.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))
(*.f64 1 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))
(*.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1/6) (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1/6))
(cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 2))
(cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2) 1/6)))
(cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))
(cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))
(*.f64 (cbrt.f64 (+.f64 1/8 (*.f64 -1/13824 (pow.f64 x 6)))) (/.f64 1 (cbrt.f64 (+.f64 1/4 (+.f64 (*.f64 1/576 (pow.f64 x 4)) (*.f64 1/48 (*.f64 x x)))))))
(/.f64 (cbrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 6) -1/13824))) (cbrt.f64 (+.f64 1/4 (fma.f64 1/576 (pow.f64 x 4) (*.f64 (*.f64 x x) 1/48)))))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8)) (cbrt.f64 (+.f64 1/4 (fma.f64 (pow.f64 x 4) 1/576 (*.f64 x (*.f64 x 1/48))))))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8)) (cbrt.f64 (+.f64 (*.f64 x (*.f64 x 1/48)) (fma.f64 (pow.f64 x 4) 1/576 1/4))))
(*.f64 (cbrt.f64 (-.f64 1/4 (*.f64 1/576 (pow.f64 x 4)))) (/.f64 1 (cbrt.f64 (+.f64 1/2 (*.f64 x (*.f64 x 1/24))))))
(/.f64 (cbrt.f64 (+.f64 1/4 (*.f64 -1/576 (pow.f64 x 4)))) (cbrt.f64 (+.f64 1/2 (*.f64 (*.f64 x x) 1/24))))
(/.f64 (cbrt.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) -1/576))) (cbrt.f64 (fma.f64 (*.f64 x x) 1/24 1/2)))
(/.f64 (cbrt.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) -1/576))) (cbrt.f64 (fma.f64 x (*.f64 x 1/24) 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 3/2))
(cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))
(*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2) 1/6)) (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))
(cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))
(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 1/6) (pow.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 1/6) (pow.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 1/6)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 1/6) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 1/6) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 1/6) (pow.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 1/6))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) (cbrt.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 1/6) 4)
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))) (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))) (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))))
(cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 2))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 2))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1/6)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 2)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 2) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1/6)) (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1/6))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))))
(cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 2)) (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 2)) (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1/6))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1/6)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 2)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 2) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1/6)) (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1/6))))
(/.f64 1 (/.f64 (cbrt.f64 (+.f64 1/4 (+.f64 (*.f64 1/576 (pow.f64 x 4)) (*.f64 1/48 (*.f64 x x))))) (cbrt.f64 (+.f64 1/8 (*.f64 -1/13824 (pow.f64 x 6))))))
(/.f64 (cbrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 6) -1/13824))) (cbrt.f64 (+.f64 1/4 (fma.f64 1/576 (pow.f64 x 4) (*.f64 (*.f64 x x) 1/48)))))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8)) (cbrt.f64 (+.f64 1/4 (fma.f64 (pow.f64 x 4) 1/576 (*.f64 x (*.f64 x 1/48))))))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8)) (cbrt.f64 (+.f64 (*.f64 x (*.f64 x 1/48)) (fma.f64 (pow.f64 x 4) 1/576 1/4))))
(/.f64 1 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 x (*.f64 x 1/24)))) (cbrt.f64 (-.f64 1/4 (*.f64 1/576 (pow.f64 x 4))))))
(/.f64 (cbrt.f64 (+.f64 1/4 (*.f64 -1/576 (pow.f64 x 4)))) (cbrt.f64 (+.f64 1/2 (*.f64 (*.f64 x x) 1/24))))
(/.f64 (cbrt.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) -1/576))) (cbrt.f64 (fma.f64 (*.f64 x x) 1/24 1/2)))
(/.f64 (cbrt.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) -1/576))) (cbrt.f64 (fma.f64 x (*.f64 x 1/24) 1/2)))
(/.f64 (cbrt.f64 (+.f64 1/8 (*.f64 -1/13824 (pow.f64 x 6)))) (cbrt.f64 (+.f64 1/4 (+.f64 (*.f64 1/576 (pow.f64 x 4)) (*.f64 1/48 (*.f64 x x))))))
(/.f64 (cbrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 6) -1/13824))) (cbrt.f64 (+.f64 1/4 (fma.f64 1/576 (pow.f64 x 4) (*.f64 (*.f64 x x) 1/48)))))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8)) (cbrt.f64 (+.f64 1/4 (fma.f64 (pow.f64 x 4) 1/576 (*.f64 x (*.f64 x 1/48))))))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8)) (cbrt.f64 (+.f64 (*.f64 x (*.f64 x 1/48)) (fma.f64 (pow.f64 x 4) 1/576 1/4))))
(/.f64 (cbrt.f64 (-.f64 1/4 (*.f64 1/576 (pow.f64 x 4)))) (cbrt.f64 (+.f64 1/2 (*.f64 x (*.f64 x 1/24)))))
(/.f64 (cbrt.f64 (+.f64 1/4 (*.f64 -1/576 (pow.f64 x 4)))) (cbrt.f64 (+.f64 1/2 (*.f64 (*.f64 x x) 1/24))))
(/.f64 (cbrt.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) -1/576))) (cbrt.f64 (fma.f64 (*.f64 x x) 1/24 1/2)))
(/.f64 (cbrt.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) -1/576))) (cbrt.f64 (fma.f64 x (*.f64 x 1/24) 1/2)))
(/.f64 (*.f64 1 (cbrt.f64 (+.f64 1/8 (*.f64 -1/13824 (pow.f64 x 6))))) (cbrt.f64 (+.f64 1/4 (+.f64 (*.f64 1/576 (pow.f64 x 4)) (*.f64 1/48 (*.f64 x x))))))
(/.f64 (cbrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 6) -1/13824))) (cbrt.f64 (+.f64 1/4 (fma.f64 1/576 (pow.f64 x 4) (*.f64 (*.f64 x x) 1/48)))))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8)) (cbrt.f64 (+.f64 1/4 (fma.f64 (pow.f64 x 4) 1/576 (*.f64 x (*.f64 x 1/48))))))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8)) (cbrt.f64 (+.f64 (*.f64 x (*.f64 x 1/48)) (fma.f64 (pow.f64 x 4) 1/576 1/4))))
(/.f64 (*.f64 1 (cbrt.f64 (-.f64 1/4 (*.f64 1/576 (pow.f64 x 4))))) (cbrt.f64 (+.f64 1/2 (*.f64 x (*.f64 x 1/24)))))
(/.f64 (cbrt.f64 (+.f64 1/4 (*.f64 -1/576 (pow.f64 x 4)))) (cbrt.f64 (+.f64 1/2 (*.f64 (*.f64 x x) 1/24))))
(/.f64 (cbrt.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) -1/576))) (cbrt.f64 (fma.f64 (*.f64 x x) 1/24 1/2)))
(/.f64 (cbrt.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) -1/576))) (cbrt.f64 (fma.f64 x (*.f64 x 1/24) 1/2)))
(/.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (+.f64 1/8 (*.f64 -1/13824 (pow.f64 x 6))))) (cbrt.f64 (+.f64 1/4 (+.f64 (*.f64 1/576 (pow.f64 x 4)) (*.f64 1/48 (*.f64 x x))))))
(/.f64 (cbrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 6) -1/13824))) (cbrt.f64 (+.f64 1/4 (fma.f64 1/576 (pow.f64 x 4) (*.f64 (*.f64 x x) 1/48)))))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8)) (cbrt.f64 (+.f64 1/4 (fma.f64 (pow.f64 x 4) 1/576 (*.f64 x (*.f64 x 1/48))))))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8)) (cbrt.f64 (+.f64 (*.f64 x (*.f64 x 1/48)) (fma.f64 (pow.f64 x 4) 1/576 1/4))))
(/.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (-.f64 1/4 (*.f64 1/576 (pow.f64 x 4))))) (cbrt.f64 (+.f64 1/2 (*.f64 x (*.f64 x 1/24)))))
(/.f64 (cbrt.f64 (+.f64 1/4 (*.f64 -1/576 (pow.f64 x 4)))) (cbrt.f64 (+.f64 1/2 (*.f64 (*.f64 x x) 1/24))))
(/.f64 (cbrt.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) -1/576))) (cbrt.f64 (fma.f64 (*.f64 x x) 1/24 1/2)))
(/.f64 (cbrt.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) -1/576))) (cbrt.f64 (fma.f64 x (*.f64 x 1/24) 1/2)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/8 (*.f64 -1/13824 (pow.f64 x 6)))) 1) (cbrt.f64 (+.f64 1/4 (+.f64 (*.f64 1/576 (pow.f64 x 4)) (*.f64 1/48 (*.f64 x x))))))
(/.f64 (cbrt.f64 (+.f64 1/8 (*.f64 (pow.f64 x 6) -1/13824))) (cbrt.f64 (+.f64 1/4 (fma.f64 1/576 (pow.f64 x 4) (*.f64 (*.f64 x x) 1/48)))))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8)) (cbrt.f64 (+.f64 1/4 (fma.f64 (pow.f64 x 4) 1/576 (*.f64 x (*.f64 x 1/48))))))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8)) (cbrt.f64 (+.f64 (*.f64 x (*.f64 x 1/48)) (fma.f64 (pow.f64 x 4) 1/576 1/4))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/4 (*.f64 1/576 (pow.f64 x 4)))) 1) (cbrt.f64 (+.f64 1/2 (*.f64 x (*.f64 x 1/24)))))
(/.f64 (cbrt.f64 (+.f64 1/4 (*.f64 -1/576 (pow.f64 x 4)))) (cbrt.f64 (+.f64 1/2 (*.f64 (*.f64 x x) 1/24))))
(/.f64 (cbrt.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) -1/576))) (cbrt.f64 (fma.f64 (*.f64 x x) 1/24 1/2)))
(/.f64 (cbrt.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) -1/576))) (cbrt.f64 (fma.f64 x (*.f64 x 1/24) 1/2)))
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(*.f64 (+.f64 1/8 (*.f64 (pow.f64 x 6) -1/13824)) (/.f64 1 (+.f64 1/4 (fma.f64 1/576 (pow.f64 x 4) (*.f64 (*.f64 x x) 1/48)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8) (+.f64 1/4 (fma.f64 (pow.f64 x 4) 1/576 (*.f64 x (*.f64 x 1/48)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8) (+.f64 (*.f64 x (*.f64 x 1/48)) (fma.f64 (pow.f64 x 4) 1/576 1/4)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) (exp.f64 (log1p.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))) (fma.f64 -1/24 (*.f64 x x) 1/2)) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))))
(/.f64 (-.f64 (*.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 x (*.f64 x 1/24)))) (/.f64 1/4 (+.f64 1/2 (*.f64 x (*.f64 x 1/24))))) (*.f64 (/.f64 (*.f64 1/576 (pow.f64 x 4)) (+.f64 1/2 (*.f64 x (*.f64 x 1/24)))) (/.f64 (*.f64 1/576 (pow.f64 x 4)) (+.f64 1/2 (*.f64 x (*.f64 x 1/24)))))) (+.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 x (*.f64 x 1/24)))) (/.f64 (*.f64 1/576 (pow.f64 x 4)) (+.f64 1/2 (*.f64 x (*.f64 x 1/24))))))
(/.f64 (*.f64 (+.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 (*.f64 x x) 1/24))) (/.f64 1/576 (/.f64 (+.f64 1/2 (*.f64 (*.f64 x x) 1/24)) (pow.f64 x 4)))) (/.f64 (+.f64 1/4 (*.f64 -1/576 (pow.f64 x 4))) (+.f64 1/2 (*.f64 (*.f64 x x) 1/24)))) (+.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 (*.f64 x x) 1/24))) (/.f64 1/576 (/.f64 (+.f64 1/2 (*.f64 (*.f64 x x) 1/24)) (pow.f64 x 4)))))
(/.f64 (-.f64 (/.f64 (/.f64 1/16 (fma.f64 (*.f64 x x) 1/24 1/2)) (fma.f64 (*.f64 x x) 1/24 1/2)) (/.f64 (/.f64 (*.f64 (pow.f64 x 8) 1/331776) (fma.f64 (*.f64 x x) 1/24 1/2)) (fma.f64 (*.f64 x x) 1/24 1/2))) (+.f64 (/.f64 1/4 (fma.f64 (*.f64 x x) 1/24 1/2)) (*.f64 (/.f64 1/576 (fma.f64 (*.f64 x x) 1/24 1/2)) (pow.f64 x 4))))
(/.f64 (+.f64 (/.f64 (/.f64 1/16 (fma.f64 x (*.f64 x 1/24) 1/2)) (fma.f64 x (*.f64 x 1/24) 1/2)) (/.f64 (/.f64 (*.f64 (pow.f64 x 8) -1/331776) (fma.f64 x (*.f64 x 1/24) 1/2)) (fma.f64 x (*.f64 x 1/24) 1/2))) (+.f64 (/.f64 1/4 (fma.f64 x (*.f64 x 1/24) 1/2)) (*.f64 (/.f64 1/576 (fma.f64 x (*.f64 x 1/24) 1/2)) (pow.f64 x 4))))
(neg.f64 (/.f64 (-.f64 1/4 (*.f64 1/576 (pow.f64 x 4))) (+.f64 -1/2 (neg.f64 (*.f64 x (*.f64 x 1/24))))))
(/.f64 (fma.f64 1/576 (pow.f64 x 4) -1/4) (fma.f64 -1/24 (*.f64 x x) -1/2))
(/.f64 (fma.f64 (pow.f64 x 4) 1/576 -1/4) (fma.f64 -1/24 (*.f64 x x) -1/2))
(/.f64 (fma.f64 (pow.f64 x 4) 1/576 -1/4) (fma.f64 x (*.f64 x -1/24) -1/2))
(neg.f64 (/.f64 (+.f64 1/8 (*.f64 -1/13824 (pow.f64 x 6))) (+.f64 -1/4 (neg.f64 (+.f64 (*.f64 1/576 (pow.f64 x 4)) (*.f64 1/48 (*.f64 x x)))))))
(/.f64 (+.f64 -1/8 (*.f64 (pow.f64 x 6) 1/13824)) (-.f64 -1/4 (fma.f64 1/576 (pow.f64 x 4) (*.f64 (*.f64 x x) 1/48))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/13824 -1/8) (-.f64 -1/4 (fma.f64 (pow.f64 x 4) 1/576 (*.f64 x (*.f64 x 1/48)))))
(sqrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 2))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(log.f64 (exp.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 3))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(expm1.f64 (log1p.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(exp.f64 (log.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(log1p.f64 (expm1.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 (*.f64 x x) -1/24 1/2)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 1 (*.f64 -1/24 (*.f64 x x)) 1/2)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 (*.f64 x (sqrt.f64 -1/24)) (*.f64 x (sqrt.f64 -1/24)) 1/2)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 (cbrt.f64 (*.f64 1/576 (pow.f64 x 4))) (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 1/2)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 1/2)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (*.f64 x (*.f64 x -1/24))) 1/2)
(fma.f64 (*.f64 -1/24 x) x 1/2)
(fma.f64 -1/24 (*.f64 x x) 1/2)

eval1.5s (13.5%)

Compiler

Compiled 25229 to 15750 computations (37.6% saved)

prune273.0ms (2.4%)

Pruning

23 alts after pruning (17 fresh and 6 done)

PrunedKeptTotal
New1225111236
Fresh4610
Picked101
Done167
Total1231231254
Error
0b
Counts
1254 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
30.3b
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x)
31.9b
(/.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x))))) (*.f64 x x))
49.2b
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
31.3b
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
30.6b
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
30.3b
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x))))
31.4b
(/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x))
31.3b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
31.3b
(/.f64 (+.f64 (/.f64 1 (/.f64 1 (neg.f64 (cos.f64 x)))) 1) (*.f64 x x))
30.3b
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x)
16.8b
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
0.6b
(/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) x))
32.4b
(/.f64 1 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)))
31.3b
(/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))))
31.3b
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
32.4b
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
16.8b
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x))
16.8b
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
47.7b
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x))
31.3b
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
49.0b
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
31.4b
1/2
45.5b
0
Compiler

Compiled 431 to 296 computations (31.3% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (/.f64 x (sin.f64 x)) x)
0.2b
(/.f64 x (sin.f64 x))
0.6b
(/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) x))
Compiler

Compiled 33 to 14 computations (57.6% saved)

series3.0ms (0%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 x (sin.f64 x))
1.0ms
x
@-inf
(/.f64 x (sin.f64 x))
0.0ms
x
@-inf
(*.f64 (/.f64 x (sin.f64 x)) x)
0.0ms
x
@inf
(*.f64 (/.f64 x (sin.f64 x)) x)
0.0ms
x
@0
(/.f64 x (sin.f64 x))

rewrite83.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
904×unswap-sqr
874×swap-sqr
762×associate-/r/
610×associate-/l/
420×sqr-pow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01161
123461
2317561
Stop Event
node limit
Counts
3 → 152
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) x))
(/.f64 x (sin.f64 x))
(*.f64 (/.f64 x (sin.f64 x)) x)
Outputs
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x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) x))) 2)) (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (sin.f64 x)) (neg.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sin.f64 x)))))) 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simplify88.0ms (0.8%)

Algorithm
egg-herbie
Rules
820×distribute-rgt-in
812×distribute-lft-in
642×distribute-lft-neg-in
592×distribute-rgt-neg-in
542×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03945126
110645076
242465076
Stop Event
node limit
Counts
180 → 211
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
1
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6)))))
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 7/360 (pow.f64 x 5)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) x))
(+.f64 (*.f64 7/360 (pow.f64 x 5)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 31/15120 (pow.f64 x 7)) x)))
(/.f64 (pow.f64 x 2) (sin.f64 x))
(/.f64 (pow.f64 x 2) (sin.f64 x))
(/.f64 (pow.f64 x 2) (sin.f64 x))
(/.f64 (pow.f64 x 2) (sin.f64 x))
(/.f64 (pow.f64 x 2) (sin.f64 x))
(/.f64 (pow.f64 x 2) (sin.f64 x))
(/.f64 (pow.f64 x 2) (sin.f64 x))
(/.f64 (pow.f64 x 2) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 1)
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(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 2))
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(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (sin.f64 x))))
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(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))
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(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) x) (sin.f64 x))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (neg.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x 1)) (sin.f64 x))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (sin.f64 x))) x) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) x))) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sin.f64 x)))
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(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 2))) (*.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 2))))
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(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 1)
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3) 1/3)
(pow.f64 (/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 x 1/2))) -1)
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 (neg.f64 x) (sin.f64 x)))))
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 (neg.f64 x) (sin.f64 x)))) 1))
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (sin.f64 x))))
(neg.f64 (*.f64 1 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 (neg.f64 x) (sin.f64 x))))))
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 x (/.f64 (sin.f64 x) x))))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 2))
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) 1)
(*.f64 x (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 x (sin.f64 x)) 1)
(*.f64 1 (/.f64 x (sin.f64 x)))
(*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 x (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) x)
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (sin.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 x (sin.f64 x))))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x)) (cbrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (/.f64 x (sin.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (/.f64 x (sin.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (/.f64 x (sin.f64 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 (/.f64 x (sin.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x))))) (*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (cbrt.f64 (/.f64 x (sin.f64 x))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3/2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3/2))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/6))
(*.f64 (pow.f64 (/.f64 (sin.f64 x) x) -1/2) (pow.f64 (/.f64 (sin.f64 x) x) -1/2))
(pow.f64 (/.f64 x (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) x) -1)
(neg.f64 (/.f64 (neg.f64 x) (sin.f64 x)))
(neg.f64 (/.f64 (/.f64 (neg.f64 x) (sin.f64 x)) 1))
(sqrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 x (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 x (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (sin.f64 x) x)))) 1)
(/.f64 x (/.f64 (sin.f64 x) x))
(/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 1)
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (*.f64 x x) (sin.f64 x))
(/.f64 (/.f64 (*.f64 x x) 1) (sin.f64 x))
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (sin.f64 x)))
(pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 1)
(pow.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) x))) 3)
(pow.f64 (pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 3) 1/3)
(neg.f64 (*.f64 x (/.f64 (neg.f64 x) (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (sin.f64 x) x)))))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 (sin.f64 x) x))))
(exp.f64 (log.f64 (/.f64 x (/.f64 (sin.f64 x) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (sin.f64 x) x))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 (sin.f64 x) x))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (*.f64 x (cos.f64 (*.f64 1/2 x))))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (*.f64 x (cos.f64 (*.f64 1/2 x))))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (*.f64 x (cos.f64 (*.f64 1/2 x))))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (*.f64 x (cos.f64 (*.f64 1/2 x))))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (*.f64 x (cos.f64 (*.f64 1/2 x))))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (*.f64 x (cos.f64 (*.f64 1/2 x))))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (*.f64 x (cos.f64 (*.f64 1/2 x))))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (*.f64 x (cos.f64 (*.f64 1/2 x))))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
1
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(fma.f64 1/6 (*.f64 x x) 1)
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 7/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 (pow.f64 x 4) 7/360 (fma.f64 1/6 (*.f64 x x) 1))
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6)))))
(fma.f64 7/360 (pow.f64 x 4) (+.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 (pow.f64 x 6) 31/15120)))
(fma.f64 (pow.f64 x 4) 7/360 (fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 6) 31/15120 1)))
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(fma.f64 1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 7/360 (pow.f64 x 5)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) x))
(fma.f64 7/360 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 x 3) x))
(+.f64 (*.f64 7/360 (pow.f64 x 5)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 31/15120 (pow.f64 x 7)) x)))
(fma.f64 7/360 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 31/15120 (pow.f64 x 7) x)))
(/.f64 (pow.f64 x 2) (sin.f64 x))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(/.f64 (pow.f64 x 2) (sin.f64 x))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(/.f64 (pow.f64 x 2) (sin.f64 x))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(/.f64 (pow.f64 x 2) (sin.f64 x))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(/.f64 (pow.f64 x 2) (sin.f64 x))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(/.f64 (pow.f64 x 2) (sin.f64 x))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(/.f64 (pow.f64 x 2) (sin.f64 x))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(/.f64 (pow.f64 x 2) (sin.f64 x))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) 1)
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 1)
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
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(/.f64 x (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sin.f64 x)))))
(/.f64 x (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3))
(/.f64 x (sin.f64 x))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 x (sin.f64 x))
(expm1.f64 (log1p.f64 (/.f64 x (sin.f64 x))))
(/.f64 x (sin.f64 x))
(exp.f64 (log.f64 (/.f64 x (sin.f64 x))))
(/.f64 x (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 x))) 1))
(/.f64 x (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 x (sin.f64 x))))
(/.f64 x (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (sin.f64 x) x)))) 1)
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(/.f64 x (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 1)
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 x x) (sin.f64 x))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 (*.f64 x x) 1) (sin.f64 x))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 1)
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(pow.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) 2)
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 (sin.f64 x) x))) 3)
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(pow.f64 (pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 3) 1/3)
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(neg.f64 (*.f64 x (/.f64 (neg.f64 x) (sin.f64 x))))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x (sin.f64 x)) x) 2))
(fabs.f64 (*.f64 x (/.f64 x (sin.f64 x))))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (sin.f64 x))))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (sin.f64 x) x)))))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (sin.f64 x) x)) 3))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (sin.f64 x)) 3)))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) (pow.f64 x 3)))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 (sin.f64 x) x))))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(exp.f64 (log.f64 (/.f64 x (/.f64 (sin.f64 x) x))))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (sin.f64 x) x))) 1))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 (sin.f64 x) x))))
(*.f64 (/.f64 x (sin.f64 x)) x)
(*.f64 x (/.f64 x (sin.f64 x)))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x))
31.2b
(/.f64 (*.f64 x x) x)
Compiler

Compiled 23 to 9 computations (60.9% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite53.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1480×add-sqr-sqrt
1454×*-un-lft-identity
1374×add-cube-cbrt
1354×add-cbrt-cube
172×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0838
11792
226422
Stop Event
node limit
Counts
2 → 34
Calls
Call 1
Inputs
(/.f64 (*.f64 x x) x)
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 x x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))))
((#(struct:change #<rule egg-rr> (2) ((x . 1/2)))))

simplify46.0ms (0.4%)

Algorithm
egg-herbie
Rules
1352×associate-*r/
1042×associate-+r+
972×*-commutative
762×associate-/r/
712×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
077244
1181214
21240162
36732162
Stop Event
node limit
Counts
58 → 40
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
(-.f64 (exp.f64 (log1p.f64 x)) 1)
(*.f64 x 1)
(*.f64 (*.f64 x x) (/.f64 1 x))
(*.f64 1 x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 x)))
(*.f64 (/.f64 1 x) (*.f64 x x))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 x x) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x x) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 x 1)
(pow.f64 (*.f64 x x) 1/2)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (/.f64 1 x) -1)
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 x)))
(sqrt.f64 (*.f64 x x))
(fabs.f64 x)
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(log1p.f64 (expm1.f64 x))
1/2
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
(-.f64 (exp.f64 (log1p.f64 x)) 1)
x
(*.f64 x 1)
x
(*.f64 (*.f64 x x) (/.f64 1 x))
x
(*.f64 1 x)
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
x
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 x)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 x))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 x (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 x))
(*.f64 (/.f64 1 x) (*.f64 x x))
x
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (neg.f64 x)))
x
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (fabs.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 (pow.f64 x 4))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x)))
x
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 x x) (sqrt.f64 x)))
x
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x x) (cbrt.f64 x)))
x
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) x))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 x))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 x (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 x)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 x))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 x (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 x))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 x (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 x))
(pow.f64 x 1)
x
(pow.f64 (*.f64 x x) 1/2)
x
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(pow.f64 (/.f64 1 x) -1)
x
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 x)))
x
(sqrt.f64 (*.f64 x x))
x
(fabs.f64 x)
x
(log.f64 (exp.f64 x))
x
(log.f64 (+.f64 1 (expm1.f64 x)))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 x) 1))
x
(log1p.f64 (expm1.f64 x))
x
1/2

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
0.7b
(/.f64 2 (*.f64 x x))
0.8b
(/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))
16.3b
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
Compiler

Compiled 42 to 24 computations (42.9% saved)

series3.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))
0.0ms
x
@0
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
0.0ms
x
@inf
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
0.0ms
x
@0
(/.f64 2 (*.f64 x x))
0.0ms
x
@inf
(/.f64 2 (*.f64 x x))

rewrite93.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1268×associate-/l*
1058×*-commutative
616×swap-sqr
468×associate-/l/
464×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01194
124776
2329976
Stop Event
node limit
Counts
4 → 237
Calls
Call 1
Inputs
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
(/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))
(/.f64 2 (*.f64 x x))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) x) (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 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simplify554.0ms (4.9%)

Algorithm
egg-herbie
Rules
916×associate-*r*
794×associate-*l*
684×*-commutative
682×+-commutative
640×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058411013
1169110019
2770210019
Stop Event
node limit
Counts
285 → 379
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/288 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/3456 (pow.f64 x 6)) (*.f64 1/288 (pow.f64 x 4)))))
(/.f64 6 (pow.f64 x 2))
(-.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (+.f64 (*.f64 10368 (/.f64 1 (pow.f64 x 8))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))))
(/.f64 6 (pow.f64 x 2))
(-.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (+.f64 (*.f64 10368 (/.f64 1 (pow.f64 x 8))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/288 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))))
(+.f64 (*.f64 1/288 (pow.f64 x 6)) (+.f64 (*.f64 -1/3456 (pow.f64 x 8)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))))
6
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6 (*.f64 864 (/.f64 1 (pow.f64 x 4)))) (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6 (*.f64 864 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 72 (/.f64 1 (pow.f64 x 2))) (*.f64 10368 (/.f64 1 (pow.f64 x 6)))))
6
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6 (*.f64 864 (/.f64 1 (pow.f64 x 4)))) (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6 (*.f64 864 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 72 (/.f64 1 (pow.f64 x 2))) (*.f64 10368 (/.f64 1 (pow.f64 x 6)))))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
1/6
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
1/6
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)))) 1)
(*.f64 1 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) (pow.f64 x -2))
(*.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)) 1)
(*.f64 (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) x) (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) x))
(*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (pow.f64 x -2)))
(*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (*.f64 x x)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6))) 2))
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(*.f64 -2 (/.f64 1 (neg.f64 (*.f64 x x))))
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(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 2 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 1 (neg.f64 (*.f64 x x))) -2)
(pow.f64 (*.f64 2 (pow.f64 x -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 2) x) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 3)
(pow.f64 (*.f64 (*.f64 x x) 1/2) -1)
(pow.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)) 1/3)
(neg.f64 (/.f64 (/.f64 2 x) (neg.f64 x)))
(sqrt.f64 (/.f64 4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -2)))))
(cbrt.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 2 (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2)))) 5/6)
(-.f64 (/.f64 1/36 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2))) (/.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/6 (*.f64 (pow.f64 x -2) -2))))
(-.f64 (+.f64 1/6 (exp.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2))))) 1)
(*.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))
(*.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 1)
(*.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(*.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (neg.f64 (neg.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(*.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (/.f64 1 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2))))
(*.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (/.f64 1 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3)))))
(*.f64 -1 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (cbrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) (neg.f64 (cbrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (neg.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (neg.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(*.f64 (/.f64 1 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2))) (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))
(*.f64 (/.f64 1 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3)))) (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 1) (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) 1) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) -1) (cbrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(*.f64 (/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (fma.f64 2 (pow.f64 x -2) 1/6))
(*.f64 (/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (+.f64 1/216 (*.f64 -8 (pow.f64 (pow.f64 x -2) 3)))) (+.f64 1/36 (+.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) 1/3))))
(*.f64 (/.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (-.f64 1/1296 (*.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 (-.f64 (*.f64 2 (pow.f64 x -2)) 1/6) (-.f64 (*.f64 2 (pow.f64 x -2)) 1/6))))) (+.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (*.f64 (pow.f64 x -2) 1/3)))
(*.f64 (/.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (+.f64 1/46656 (pow.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 -1/3 (pow.f64 x -2))) 3))) (+.f64 1/1296 (*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 -1/3 (pow.f64 x -2))) (-.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 -1/3 (pow.f64 x -2))) 1/36))))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) (sqrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (cbrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))) (cbrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)))
(/.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 1)
(/.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2))
(/.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (/.f64 -1 (neg.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)))
(/.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (cbrt.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (/.f64 -1 (neg.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)))
(/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (/.f64 1 (/.f64 1 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)))))
(/.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))))
(/.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (/.f64 1 (/.f64 1 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))))))
(/.f64 -1 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1)
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (/.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 (sqrt.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (sqrt.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 (sqrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (/.f64 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)) (sqrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))))
(/.f64 (sqrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (sqrt.f64 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (sqrt.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))))
(/.f64 (sqrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) (/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))) (sqrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))))
(/.f64 (sqrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) (*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (sqrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (cbrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (cbrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))) (/.f64 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)) (cbrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))) (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) (cbrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))) (/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))) (cbrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (/.f64 -1 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (/.f64 -1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(/.f64 (+.f64 -1/36 (neg.f64 (/.f64 -4 (pow.f64 x 4)))) (+.f64 -1/6 (neg.f64 (*.f64 (pow.f64 x -2) -2))))
(/.f64 (+.f64 -1/216 (neg.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3)))))
(/.f64 (-.f64 (/.f64 4 (pow.f64 x 4)) 1/36) (-.f64 (*.f64 2 (pow.f64 x -2)) 1/6))
(/.f64 (-.f64 (/.f64 4 (pow.f64 x 4)) 1/36) (*.f64 1 (-.f64 (*.f64 2 (pow.f64 x -2)) 1/6)))
(/.f64 (-.f64 1/46656 (*.f64 64 (*.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 x -2) 3)))) (*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))) (+.f64 1/216 (*.f64 -8 (pow.f64 (pow.f64 x -2) 3)))))
(/.f64 (+.f64 1/1296 (*.f64 (/.f64 -4 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 4)))) (*.f64 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)) (+.f64 (/.f64 4 (pow.f64 x 4)) 1/36)))
(/.f64 (+.f64 1/10077696 (pow.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)) 3)) (*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))) (+.f64 1/46656 (*.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)) (-.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)) 1/216)))))
(/.f64 (-.f64 1/46656 (pow.f64 (/.f64 4 (pow.f64 x 4)) 3)) (*.f64 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)) (+.f64 1/1296 (*.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 (/.f64 4 (pow.f64 x 4)) 1/36)))))
(/.f64 (neg.f64 (+.f64 -1/36 (neg.f64 (/.f64 -4 (pow.f64 x 4))))) (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)))
(/.f64 (neg.f64 (+.f64 -1/216 (neg.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))) (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))))
(pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 1)
(pow.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)
(pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 3)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3) 1/3)
(neg.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(neg.f64 (/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (+.f64 -1/6 (neg.f64 (*.f64 (pow.f64 x -2) -2)))))
(neg.f64 (/.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))))))
(sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 2))
(log.f64 (exp.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(exp.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(log1p.f64 (expm1.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(fma.f64 1 (*.f64 2 (pow.f64 x -2)) 1/6)
(fma.f64 2 (pow.f64 x -2) 1/6)
(fma.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x) 1/6)
(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 1/6)
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/288 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/288 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/288 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/3456 (pow.f64 x 6)) (*.f64 1/288 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/3456 (pow.f64 x 6) (*.f64 1/288 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/288 (pow.f64 x 4) (*.f64 -1/3456 (pow.f64 x 6))))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(-.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 6 (*.f64 x x)) (/.f64 72 (pow.f64 x 4)))
(+.f64 (/.f64 6 (*.f64 x x)) (/.f64 -72 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 6 (*.f64 x x)) (-.f64 (/.f64 864 (pow.f64 x 6)) (/.f64 72 (pow.f64 x 4))))
(+.f64 (/.f64 6 (*.f64 x x)) (+.f64 (/.f64 864 (pow.f64 x 6)) (/.f64 -72 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (+.f64 (*.f64 10368 (/.f64 1 (pow.f64 x 8))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 864 (pow.f64 x 6))) (+.f64 (/.f64 72 (pow.f64 x 4)) (/.f64 10368 (pow.f64 x 8))))
(+.f64 (/.f64 6 (*.f64 x x)) (-.f64 (-.f64 (/.f64 864 (pow.f64 x 6)) (/.f64 10368 (pow.f64 x 8))) (/.f64 72 (pow.f64 x 4))))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(-.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 6 (*.f64 x x)) (/.f64 72 (pow.f64 x 4)))
(+.f64 (/.f64 6 (*.f64 x x)) (/.f64 -72 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 6 (*.f64 x x)) (-.f64 (/.f64 864 (pow.f64 x 6)) (/.f64 72 (pow.f64 x 4))))
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(*.f64 (cbrt.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4)))) (/.f64 (cbrt.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4)))) (/.f64 (fma.f64 -2 (pow.f64 x -2) 1/6) (cbrt.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4)))))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))) (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (/.f64 (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) (cbrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))) (/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))) (cbrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))))
(/.f64 (cbrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) (/.f64 (/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))) (cbrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))) (cbrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))))
(/.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 8 (pow.f64 (pow.f64 x -2) 3) 1/216)) (cbrt.f64 (fma.f64 8 (pow.f64 (pow.f64 x -2) 3) 1/216))) (cbrt.f64 (fma.f64 8 (pow.f64 (pow.f64 x -2) 3) 1/216))) (+.f64 1/36 (fma.f64 (pow.f64 x -2) -1/3 (/.f64 4 (pow.f64 x 4)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (/.f64 -1 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (/.f64 -1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(/.f64 (+.f64 -1/36 (neg.f64 (/.f64 -4 (pow.f64 x 4)))) (+.f64 -1/6 (neg.f64 (*.f64 (pow.f64 x -2) -2))))
(/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) -1/36) (fma.f64 2 (pow.f64 x -2) -1/6))
(/.f64 (+.f64 -1/216 (neg.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3)))))
(/.f64 (-.f64 -1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x -2) 3) -8 -1/216) (-.f64 (/.f64 -4 (pow.f64 x 4)) (+.f64 1/36 (*.f64 (pow.f64 x -2) -1/3))))
(/.f64 (-.f64 (/.f64 4 (pow.f64 x 4)) 1/36) (-.f64 (*.f64 2 (pow.f64 x -2)) 1/6))
(/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) -1/36) (fma.f64 2 (pow.f64 x -2) -1/6))
(/.f64 (-.f64 (/.f64 4 (pow.f64 x 4)) 1/36) (*.f64 1 (-.f64 (*.f64 2 (pow.f64 x -2)) 1/6)))
(/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) -1/36) (fma.f64 2 (pow.f64 x -2) -1/6))
(/.f64 (-.f64 1/46656 (*.f64 64 (*.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 x -2) 3)))) (*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))) (+.f64 1/216 (*.f64 -8 (pow.f64 (pow.f64 x -2) 3)))))
(/.f64 (+.f64 1/46656 (*.f64 -64 (pow.f64 (pow.f64 x -2) 6))) (*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))) (+.f64 1/216 (*.f64 (pow.f64 (pow.f64 x -2) 3) -8))))
(/.f64 (/.f64 (+.f64 1/46656 (*.f64 (pow.f64 (pow.f64 x -2) 6) -64)) (+.f64 1/36 (fma.f64 (pow.f64 x -2) -1/3 (/.f64 4 (pow.f64 x 4))))) (fma.f64 (pow.f64 (pow.f64 x -2) 3) -8 1/216))
(/.f64 (+.f64 1/1296 (*.f64 (/.f64 -4 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 4)))) (*.f64 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)) (+.f64 (/.f64 4 (pow.f64 x 4)) 1/36)))
(/.f64 (+.f64 1/1296 (*.f64 (/.f64 -4 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 4)))) (*.f64 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))) (+.f64 1/36 (/.f64 4 (pow.f64 x 4)))))
(/.f64 (+.f64 1/1296 (/.f64 (/.f64 -16 (pow.f64 x 4)) (pow.f64 x 4))) (*.f64 (fma.f64 -2 (pow.f64 x -2) 1/6) (+.f64 1/36 (/.f64 4 (pow.f64 x 4)))))
(/.f64 (+.f64 1/10077696 (pow.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)) 3)) (*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))) (+.f64 1/46656 (*.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)) (-.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)) 1/216)))))
(/.f64 (+.f64 1/10077696 (*.f64 512 (pow.f64 (pow.f64 (pow.f64 x -2) 3) 3))) (*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))) (+.f64 1/46656 (*.f64 8 (*.f64 (pow.f64 (pow.f64 x -2) 3) (fma.f64 8 (pow.f64 (pow.f64 x -2) 3) -1/216))))))
(/.f64 (fma.f64 512 (pow.f64 (pow.f64 (pow.f64 x -2) 3) 3) 1/10077696) (*.f64 (+.f64 1/36 (fma.f64 (pow.f64 x -2) -1/3 (/.f64 4 (pow.f64 x 4)))) (fma.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)) (fma.f64 8 (pow.f64 (pow.f64 x -2) 3) -1/216) 1/46656)))
(/.f64 (-.f64 1/46656 (pow.f64 (/.f64 4 (pow.f64 x 4)) 3)) (*.f64 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)) (+.f64 1/1296 (*.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 (/.f64 4 (pow.f64 x 4)) 1/36)))))
(/.f64 (/.f64 (-.f64 1/46656 (/.f64 64 (pow.f64 (pow.f64 x 4) 3))) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2)))) (+.f64 1/1296 (*.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 4 (pow.f64 x 4))))))
(/.f64 (/.f64 (+.f64 1/46656 (/.f64 -64 (pow.f64 (pow.f64 x 4) 3))) (fma.f64 -2 (pow.f64 x -2) 1/6)) (fma.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 4 (pow.f64 x 4))) 1/1296))
(/.f64 (neg.f64 (+.f64 -1/36 (neg.f64 (/.f64 -4 (pow.f64 x 4))))) (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)))
(-.f64 (/.f64 1/36 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2)))) (/.f64 4 (*.f64 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))) (pow.f64 x 4))))
(/.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4))) (fma.f64 -2 (pow.f64 x -2) 1/6))
(/.f64 (neg.f64 (+.f64 -1/216 (neg.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))) (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))))
(/.f64 (*.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) 1) (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))))
(/.f64 (fma.f64 8 (pow.f64 (pow.f64 x -2) 3) 1/216) (+.f64 1/36 (fma.f64 (pow.f64 x -2) -1/3 (/.f64 4 (pow.f64 x 4)))))
(pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 1)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(pow.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 3)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3) 1/3)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(neg.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(neg.f64 (/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (+.f64 -1/6 (neg.f64 (*.f64 (pow.f64 x -2) -2)))))
(/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) -1/36) (fma.f64 2 (pow.f64 x -2) -1/6))
(neg.f64 (/.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))))))
(/.f64 (-.f64 -1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x -2) 3) -8 -1/216) (-.f64 (/.f64 -4 (pow.f64 x 4)) (+.f64 1/36 (*.f64 (pow.f64 x -2) -1/3))))
(sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 2))
(fabs.f64 (fma.f64 2 (pow.f64 x -2) 1/6))
(log.f64 (exp.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(expm1.f64 (log1p.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(exp.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(log1p.f64 (expm1.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(fma.f64 1 (*.f64 2 (pow.f64 x -2)) 1/6)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(fma.f64 2 (pow.f64 x -2) 1/6)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x) 1/6)
(+.f64 (pow.f64 (/.f64 (sqrt.f64 2) x) 2) 1/6)
(+.f64 1/6 (pow.f64 (/.f64 (sqrt.f64 2) x) 2))
(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 1/6)
(fma.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))) 1/6)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)))
0.1b
(fma.f64 -1/24 (*.f64 x x) 1/2)
0.7b
(/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))
Compiler

Compiled 32 to 20 computations (37.5% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))
0.0ms
x
@0
(/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))
0.0ms
x
@-inf
(/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))
0.0ms
x
@inf
(fma.f64 -1/24 (*.f64 x x) 1/2)
0.0ms
x
@inf
(/.f64 1 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)))

rewrite260.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
1754×add-sqr-sqrt
1720×*-un-lft-identity
1612×add-cube-cbrt
1600×add-cbrt-cube
186×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01151
122751
2232251
Stop Event
node limit
Counts
3 → 86
Calls
Call 1
Inputs
(/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(/.f64 1 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -1/2) (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (fma.f64 -1/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) -1) (pow.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 -1/24 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/24 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/24 (*.f64 x x)) 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2) (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (/.f64 -1 (fma.f64 -1/24 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2) (/.f64 1 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1 (fma.f64 -1/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -2))) (/.f64 1 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -1/24 (*.f64 x x)) (*.f64 -1/24 (*.f64 x x))) 1/4) (-.f64 (*.f64 -1/24 (*.f64 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3) 1/8) (+.f64 (*.f64 (*.f64 -1/24 (*.f64 x x)) (*.f64 -1/24 (*.f64 x x))) (-.f64 1/4 (*.f64 (*.f64 -1/24 (*.f64 x x)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 -1/24 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/24 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/24 (*.f64 x x)) 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2) (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/24 (*.f64 x x) 1/2)))))

simplify78.0ms (0.7%)

Algorithm
egg-herbie
Rules
1116×associate-+l+
1036×associate-*r/
858×associate-/r*
642×associate-*l/
584×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01662524
14062406
217202406
374852406
Stop Event
node limit
Counts
122 → 105
Calls
Call 1
Inputs
2
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2)
(+.f64 (*.f64 1/72 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 2))
(+.f64 (*.f64 1/72 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (*.f64 1/864 (pow.f64 x 6)))))
(/.f64 -24 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 288 (/.f64 1 (pow.f64 x 4))) (*.f64 24 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 24 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 3456 (/.f64 1 (pow.f64 x 6))) (*.f64 288 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (*.f64 24 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 41472 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 3456 (/.f64 1 (pow.f64 x 6))) (*.f64 288 (/.f64 1 (pow.f64 x 4)))))))
(/.f64 -24 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 288 (/.f64 1 (pow.f64 x 4))) (*.f64 24 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 24 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 3456 (/.f64 1 (pow.f64 x 6))) (*.f64 288 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (*.f64 24 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 41472 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 3456 (/.f64 1 (pow.f64 x 6))) (*.f64 288 (/.f64 1 (pow.f64 x 4)))))))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)) 1)
(*.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -1/2) (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))
(*.f64 -1 (/.f64 -1 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) -1) (pow.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) -1))
(pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -1)
(pow.f64 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)) 1)
(pow.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(+.f64 (*.f64 -1/24 (*.f64 x x)) 1/2)
(+.f64 (*.f64 (*.f64 -1/24 (*.f64 x x)) 1) 1/2)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 1)
(*.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))
(*.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1)
(*.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2) (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 -1 (neg.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) -1))
(/.f64 1 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(/.f64 1 (neg.f64 (/.f64 -1 (fma.f64 -1/24 (*.f64 x x) 1/2))))
(/.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1)
(/.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2) (/.f64 1 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))
(/.f64 -1 (/.f64 -1 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(/.f64 (neg.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) -1)
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -2))) (/.f64 1 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))
(/.f64 (-.f64 (*.f64 (*.f64 -1/24 (*.f64 x x)) (*.f64 -1/24 (*.f64 x x))) 1/4) (-.f64 (*.f64 -1/24 (*.f64 x x)) 1/2))
(/.f64 (+.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3) 1/8) (+.f64 (*.f64 (*.f64 -1/24 (*.f64 x x)) (*.f64 -1/24 (*.f64 x x))) (-.f64 1/4 (*.f64 (*.f64 -1/24 (*.f64 x x)) 1/2))))
(pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1)
(pow.f64 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)) -1)
(pow.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 2))
(log.f64 (exp.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(exp.f64 (log.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) -1))
(log1p.f64 (expm1.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(+.f64 (*.f64 -1/24 (*.f64 x x)) 1/2)
(+.f64 (*.f64 (*.f64 -1/24 (*.f64 x x)) 1) 1/2)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 1)
(*.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))
(*.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1)
(*.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2) (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 -1 (neg.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) -1))
(pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1)
(pow.f64 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)) -1)
(pow.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 2))
(log.f64 (exp.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(exp.f64 (log.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) -1))
(log1p.f64 (expm1.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
Outputs
2
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2)
(fma.f64 1/6 (*.f64 x x) 2)
(+.f64 (*.f64 1/72 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 2))
(fma.f64 1/72 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) 2))
(fma.f64 1/6 (*.f64 x x) (fma.f64 1/72 (pow.f64 x 4) 2))
(+.f64 (*.f64 1/72 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (*.f64 1/864 (pow.f64 x 6)))))
(fma.f64 1/72 (pow.f64 x 4) (+.f64 (fma.f64 1/6 (*.f64 x x) 2) (*.f64 1/864 (pow.f64 x 6))))
(fma.f64 1/72 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (fma.f64 1/864 (pow.f64 x 6) 2)))
(fma.f64 1/6 (*.f64 x x) (fma.f64 1/72 (pow.f64 x 4) (fma.f64 1/864 (pow.f64 x 6) 2)))
(/.f64 -24 (pow.f64 x 2))
(/.f64 -24 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 288 (/.f64 1 (pow.f64 x 4))) (*.f64 24 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 288 (pow.f64 x 4)) (/.f64 24 (*.f64 x x))))
(-.f64 (/.f64 -288 (pow.f64 x 4)) (/.f64 (/.f64 24 x) x))
(-.f64 (/.f64 -288 (pow.f64 x 4)) (/.f64 24 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 24 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 3456 (/.f64 1 (pow.f64 x 6))) (*.f64 288 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (/.f64 24 (*.f64 x x)) (+.f64 (/.f64 288 (pow.f64 x 4)) (/.f64 3456 (pow.f64 x 6)))))
(-.f64 (/.f64 -24 (*.f64 x x)) (+.f64 (/.f64 288 (pow.f64 x 4)) (/.f64 3456 (pow.f64 x 6))))
(+.f64 (/.f64 -288 (pow.f64 x 4)) (-.f64 (/.f64 -3456 (pow.f64 x 6)) (/.f64 24 (*.f64 x x))))
(neg.f64 (+.f64 (*.f64 24 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 41472 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 3456 (/.f64 1 (pow.f64 x 6))) (*.f64 288 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (/.f64 24 (*.f64 x x)) (+.f64 (+.f64 (/.f64 288 (pow.f64 x 4)) (/.f64 3456 (pow.f64 x 6))) (/.f64 41472 (pow.f64 x 8)))))
(-.f64 (/.f64 -24 (*.f64 x x)) (+.f64 (+.f64 (/.f64 288 (pow.f64 x 4)) (/.f64 3456 (pow.f64 x 6))) (/.f64 41472 (pow.f64 x 8))))
(+.f64 (+.f64 (/.f64 -288 (pow.f64 x 4)) (-.f64 (/.f64 -3456 (pow.f64 x 6)) (/.f64 24 (*.f64 x x)))) (/.f64 -41472 (pow.f64 x 8)))
(+.f64 (-.f64 (/.f64 -288 (pow.f64 x 4)) (/.f64 24 (*.f64 x x))) (+.f64 (/.f64 -41472 (pow.f64 x 8)) (/.f64 -3456 (pow.f64 x 6))))
(/.f64 -24 (pow.f64 x 2))
(/.f64 -24 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 288 (/.f64 1 (pow.f64 x 4))) (*.f64 24 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 288 (pow.f64 x 4)) (/.f64 24 (*.f64 x x))))
(-.f64 (/.f64 -288 (pow.f64 x 4)) (/.f64 (/.f64 24 x) x))
(-.f64 (/.f64 -288 (pow.f64 x 4)) (/.f64 24 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 24 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 3456 (/.f64 1 (pow.f64 x 6))) (*.f64 288 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (/.f64 24 (*.f64 x x)) (+.f64 (/.f64 288 (pow.f64 x 4)) (/.f64 3456 (pow.f64 x 6)))))
(-.f64 (/.f64 -24 (*.f64 x x)) (+.f64 (/.f64 288 (pow.f64 x 4)) (/.f64 3456 (pow.f64 x 6))))
(+.f64 (/.f64 -288 (pow.f64 x 4)) (-.f64 (/.f64 -3456 (pow.f64 x 6)) (/.f64 24 (*.f64 x x))))
(neg.f64 (+.f64 (*.f64 24 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 41472 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 3456 (/.f64 1 (pow.f64 x 6))) (*.f64 288 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (/.f64 24 (*.f64 x x)) (+.f64 (+.f64 (/.f64 288 (pow.f64 x 4)) (/.f64 3456 (pow.f64 x 6))) (/.f64 41472 (pow.f64 x 8)))))
(-.f64 (/.f64 -24 (*.f64 x x)) (+.f64 (+.f64 (/.f64 288 (pow.f64 x 4)) (/.f64 3456 (pow.f64 x 6))) (/.f64 41472 (pow.f64 x 8))))
(+.f64 (+.f64 (/.f64 -288 (pow.f64 x 4)) (-.f64 (/.f64 -3456 (pow.f64 x 6)) (/.f64 24 (*.f64 x x)))) (/.f64 -41472 (pow.f64 x 8)))
(+.f64 (-.f64 (/.f64 -288 (pow.f64 x 4)) (/.f64 24 (*.f64 x x))) (+.f64 (/.f64 -41472 (pow.f64 x 8)) (/.f64 -3456 (pow.f64 x 6))))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 x -1/24))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 x -1/24))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 x -1/24))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 x -1/24))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)))) 1)
(/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))
(/.f64 -1 (fma.f64 (*.f64 x 1/24) x -1/2))
(*.f64 1 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))
(/.f64 -1 (fma.f64 (*.f64 x 1/24) x -1/2))
(*.f64 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)) 1)
(/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))
(/.f64 -1 (fma.f64 (*.f64 x 1/24) x -1/2))
(*.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -1/2) (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -1/2))
(/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))
(/.f64 -1 (fma.f64 (*.f64 x 1/24) x -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -2)) (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/24) 1/2) -2)) (cbrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -2)) (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/24) 1/2) -2)) (cbrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2)))
(*.f64 -1 (/.f64 -1 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))
(/.f64 -1 (fma.f64 (*.f64 x 1/24) x -1/2))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) -1) (pow.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) -1))
(/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))
(/.f64 -1 (fma.f64 (*.f64 x 1/24) x -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) -1))
(/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))
(/.f64 -1 (fma.f64 (*.f64 x 1/24) x -1/2))
(pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -1)
(/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))
(/.f64 -1 (fma.f64 (*.f64 x 1/24) x -1/2))
(pow.f64 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)) 1)
(/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))
(/.f64 -1 (fma.f64 (*.f64 x 1/24) x -1/2))
(pow.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -1/2) 2)
(/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))
(/.f64 -1 (fma.f64 (*.f64 x 1/24) x -1/2))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 3)
(/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))
(/.f64 -1 (fma.f64 (*.f64 x 1/24) x -1/2))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)) 3) 1/3)
(/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))
(/.f64 -1 (fma.f64 (*.f64 x 1/24) x -1/2))
(sqrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -2))
(/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))
(/.f64 -1 (fma.f64 (*.f64 x 1/24) x -1/2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))))
(/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))
(/.f64 -1 (fma.f64 (*.f64 x 1/24) x -1/2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)))))
(/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))
(/.f64 -1 (fma.f64 (*.f64 x 1/24) x -1/2))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)) 3))
(/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))
(/.f64 -1 (fma.f64 (*.f64 x 1/24) x -1/2))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))))
(/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))
(/.f64 -1 (fma.f64 (*.f64 x 1/24) x -1/2))
(exp.f64 (neg.f64 (log.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))
(/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))
(/.f64 -1 (fma.f64 (*.f64 x 1/24) x -1/2))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) -1))
(/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))
(/.f64 -1 (fma.f64 (*.f64 x 1/24) x -1/2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 1))
(/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))
(/.f64 -1 (fma.f64 (*.f64 x 1/24) x -1/2))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))))
(/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))
(/.f64 -1 (fma.f64 (*.f64 x 1/24) x -1/2))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(+.f64 (*.f64 -1/24 (*.f64 x x)) 1/2)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(+.f64 (*.f64 (*.f64 -1/24 (*.f64 x x)) 1) 1/2)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 1)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(*.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(*.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(*.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(*.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2) (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(*.f64 -1 (neg.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(*.f64 (pow.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -1/2) -1))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))))
(/.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -2)))
(/.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2)) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/24) 1/2) -2)))
(/.f64 1 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(/.f64 1 (neg.f64 (/.f64 -1 (fma.f64 -1/24 (*.f64 x x) 1/2))))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(/.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(/.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -1/2))
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2)) (pow.f64 (fma.f64 x (*.f64 x -1/24) 1/2) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2) (/.f64 1 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(/.f64 -1 (/.f64 -1 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(/.f64 (neg.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) -1)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -2))) (/.f64 1 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))))
(/.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -2)))
(/.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2)) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/24) 1/2) -2)))
(/.f64 (-.f64 (*.f64 (*.f64 -1/24 (*.f64 x x)) (*.f64 -1/24 (*.f64 x x))) 1/4) (-.f64 (*.f64 -1/24 (*.f64 x x)) 1/2))
(/.f64 (+.f64 (*.f64 1/576 (pow.f64 x 4)) -1/4) (fma.f64 -1/24 (*.f64 x x) -1/2))
(/.f64 (fma.f64 1/576 (pow.f64 x 4) -1/4) (fma.f64 (*.f64 x -1/24) x -1/2))
(/.f64 (fma.f64 (pow.f64 x 4) 1/576 -1/4) (fma.f64 -1/24 (*.f64 x x) -1/2))
(/.f64 (+.f64 (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3) 1/8) (+.f64 (*.f64 (*.f64 -1/24 (*.f64 x x)) (*.f64 -1/24 (*.f64 x x))) (-.f64 1/4 (*.f64 (*.f64 -1/24 (*.f64 x x)) 1/2))))
(/.f64 (+.f64 (*.f64 -1/13824 (pow.f64 (*.f64 x x) 3)) 1/8) (+.f64 (*.f64 1/576 (pow.f64 x 4)) (-.f64 1/4 (*.f64 1/2 (*.f64 -1/24 (*.f64 x x))))))
(/.f64 (fma.f64 -1/13824 (pow.f64 x 6) 1/8) (-.f64 (fma.f64 1/576 (pow.f64 x 4) 1/4) (*.f64 (*.f64 x x) -1/48)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8) (+.f64 (fma.f64 (pow.f64 x 4) 1/576 1/4) (*.f64 (*.f64 x x) 1/48)))
(pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(pow.f64 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)) -1)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 3)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(pow.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 3) 1/3)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 2))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(log.f64 (exp.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 3))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(expm1.f64 (log1p.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(exp.f64 (log.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 1))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) -1))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(log1p.f64 (expm1.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(+.f64 (*.f64 -1/24 (*.f64 x x)) 1/2)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(+.f64 (*.f64 (*.f64 -1/24 (*.f64 x x)) 1) 1/2)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) 1)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(*.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(*.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(*.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(*.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2) (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(*.f64 -1 (neg.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(*.f64 (pow.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -1/2) -1))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))))
(/.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) (cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) -2)))
(/.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/24) 1/2)) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/24) 1/2) -2)))
(pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 1)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(pow.f64 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)) -1)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 2)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 3)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(pow.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 3) 1/3)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 2))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(log.f64 (exp.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(cbrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) 3))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(expm1.f64 (log1p.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(exp.f64 (log.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)) 1))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 -1/24 (*.f64 x x) 1/2))) -1))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(log1p.f64 (expm1.f64 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 x (*.f64 x -1/24) 1/2)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x))))
0.1b
(/.f64 x (+.f64 -1 (cos.f64 x)))
1.9b
(+.f64 -1 (cos.f64 x))
Compiler

Compiled 28 to 16 computations (42.9% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite79.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1428×associate-/r/
1080×associate-/l/
602×distribute-rgt-in
570×distribute-lft-in
440×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01046
122644
2325540
Stop Event
node limit
Counts
2 → 173
Calls
Call 1
Inputs
(/.f64 x (+.f64 -1 (cos.f64 x)))
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x))))
Outputs
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x))))))))

simplify100.0ms (0.9%)

Algorithm
egg-herbie
Rules
1714×distribute-lft-in
1662×distribute-rgt-in
666×*-commutative
582×associate-*r/
562×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04686511
114015979
254535979
Stop Event
node limit
Counts
197 → 257
Calls
Call 1
Inputs
(/.f64 -2 x)
(-.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1/6 x) (*.f64 -1/120 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1/6 x) (+.f64 (*.f64 -1/3024 (pow.f64 x 5)) (*.f64 -1/120 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (-.f64 (cos.f64 x) 1))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(+.f64 (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) -1) (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (cos.f64 x))))
(+.f64 (*.f64 (/.f64 x (+.f64 -1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (/.f64 x (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(+.f64 (*.f64 (/.f64 x (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (*.f64 (/.f64 x (+.f64 -1 (pow.f64 (cos.f64 x) 3))) 1))
(+.f64 (*.f64 -1 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x)))))
(+.f64 (*.f64 1 (/.f64 x (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (/.f64 x (+.f64 -1 (pow.f64 (cos.f64 x) 3)))))
(+.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (/.f64 x (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (*.f64 1 (/.f64 x (+.f64 -1 (pow.f64 (cos.f64 x) 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 -1 (cos.f64 x))))) 1)
(*.f64 x (/.f64 -1 (-.f64 1 (cos.f64 x))))
(*.f64 x (/.f64 (-.f64 -1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 x (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))))
(*.f64 x (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(*.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 1)
(*.f64 1 (/.f64 x (+.f64 -1 (cos.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 -1 (-.f64 1 (cos.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 2) (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 -1 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) x)
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (neg.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 -1 (cos.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 -1 (cos.f64 x)))))
(*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 x (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x (-.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 x (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) x)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x))))) (neg.f64 (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x))))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 2)) (neg.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x))))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (neg.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 -1 (cos.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))))
(*.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))) (+.f64 (cos.f64 x) 1))
(*.f64 (/.f64 x (+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 3)))) (+.f64 -1 (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(*.f64 (/.f64 x (-.f64 (pow.f64 (cos.f64 x) 2) 1)) (-.f64 (cos.f64 x) -1))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 -1 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 2))) (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 -1 (cos.f64 x))) (cbrt.f64 x))
(*.f64 (/.f64 (neg.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))) (-.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (neg.f64 x) (+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (sqrt.f64 (-.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (-.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(*.f64 (/.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) 1) x)
(*.f64 (/.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) -1) (neg.f64 x))
(*.f64 (/.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))))) (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 2))) (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))))
(pow.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 1)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) -1)
(neg.f64 (/.f64 x (-.f64 1 (cos.f64 x))))
(neg.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 1))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 -1 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 (cos.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))))
(exp.f64 (log.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))))
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 1 (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x))))
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 1 (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))))
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 1 (*.f64 x x)) (neg.f64 (cos.f64 x))))
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x)) 1))
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x))) 1))
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (*.f64 x x))))
(+.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x)) (/.f64 1 (*.f64 x x)))
(+.f64 (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (*.f64 x x)))
(+.f64 (*.f64 1 (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x))) (/.f64 1 (*.f64 x x)))
(+.f64 (*.f64 1 (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x)))) (/.f64 1 (*.f64 x x)))
(+.f64 (*.f64 (/.f64 1 (*.f64 x x)) (neg.f64 (cos.f64 x))) (/.f64 1 (*.f64 x x)))
(+.f64 (*.f64 (*.f64 (/.f64 -1 (*.f64 x x)) 1) -1) (*.f64 (*.f64 (/.f64 -1 (*.f64 x x)) 1) (cos.f64 x)))
(+.f64 (*.f64 (*.f64 (/.f64 -1 (*.f64 x x)) 1) (cos.f64 x)) (*.f64 (*.f64 (/.f64 -1 (*.f64 x x)) 1) -1))
(+.f64 (*.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x)) 1) (/.f64 1 (*.f64 x x)))
(+.f64 (*.f64 (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x))) 1) (/.f64 1 (*.f64 x x)))
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (*.f64 x x))) (/.f64 1 (*.f64 x x)))
(+.f64 (*.f64 -1 (*.f64 (/.f64 -1 (*.f64 x x)) 1)) (*.f64 (cos.f64 x) (*.f64 (/.f64 -1 (*.f64 x x)) 1)))
(+.f64 (*.f64 (cos.f64 x) (*.f64 (/.f64 -1 (*.f64 x x)) 1)) (*.f64 -1 (*.f64 (/.f64 -1 (*.f64 x x)) 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1)
(*.f64 -1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 -1 (cos.f64 x)) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (sqrt.f64 (/.f64 -1 x)) (*.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) x) (+.f64 -1 (cos.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (*.f64 (/.f64 -1 (cbrt.f64 x)) (/.f64 (+.f64 -1 (cos.f64 x)) x)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (/.f64 -1 x))
(*.f64 (*.f64 (/.f64 -1 (*.f64 x x)) 1) (+.f64 -1 (cos.f64 x)))
(*.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (sqrt.f64 (+.f64 -1 (cos.f64 x))))
(*.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) (cbrt.f64 (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (/.f64 -1 (*.f64 (sqrt.f64 x) x)) (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 -1 (*.f64 (pow.f64 (cbrt.f64 x) 2) x)) (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 x)))
(*.f64 (*.f64 1 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))) (*.f64 (/.f64 -1 x) (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 2)) (/.f64 (/.f64 -1 x) (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x))))))
(*.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) -1)
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) x) (*.f64 (sqrt.f64 (/.f64 -1 x)) (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) 1) (*.f64 (/.f64 -1 (*.f64 x (cbrt.f64 x))) (+.f64 -1 (cos.f64 x))))
(*.f64 (*.f64 -1 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))) (/.f64 1 (*.f64 (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) x)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x))))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) x) (+.f64 -1 (cos.f64 x))) (sqrt.f64 (/.f64 -1 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 2)) (*.f64 (sqrt.f64 (/.f64 -1 x)) (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))))
(*.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) x) (*.f64 (/.f64 (/.f64 -1 (cbrt.f64 x)) 1) (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x))))) (/.f64 (/.f64 -1 (cbrt.f64 x)) (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x))))))
(*.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 1 x) -1) (/.f64 (+.f64 -1 (cos.f64 x)) x))
(*.f64 (/.f64 (/.f64 -1 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 (/.f64 -1 x) (/.f64 x (sqrt.f64 (+.f64 -1 (cos.f64 x))))) (sqrt.f64 (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 -1 x) (/.f64 x (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2))) (cbrt.f64 (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 1 (/.f64 x (*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (+.f64 -1 (cos.f64 x))))) (/.f64 -1 (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (/.f64 x (+.f64 -1 (cos.f64 x)))) (/.f64 -1 (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 -1 (*.f64 x x)) -1) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 -1 (*.f64 x x)) 1) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (sqrt.f64 (+.f64 -1 (cos.f64 x))))) (sqrt.f64 (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2))) (cbrt.f64 (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) x) -1)
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (cbrt.f64 x)))
(*.f64 (/.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 x)))))
(*.f64 (/.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 1))))
(*.f64 (/.f64 (*.f64 (/.f64 -1 x) (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))) 1) (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)))
(*.f64 (/.f64 (*.f64 (/.f64 -1 x) (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))) (sqrt.f64 x)) (sqrt.f64 (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (/.f64 -1 x) (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 2)) 1) (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)))
(*.f64 (/.f64 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 2)) (cbrt.f64 x)) (cbrt.f64 (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3)
(pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) -1)
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(neg.f64 (*.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 1))
(neg.f64 (*.f64 (/.f64 -1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(neg.f64 (*.f64 1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(neg.f64 (*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (/.f64 1 x)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 -1 x) 3) (pow.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
Outputs
(/.f64 -2 x)
(-.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 x -1/6) (/.f64 2 x))
(fma.f64 x -1/6 (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -1/6 x) (*.f64 -1/120 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -1/6 x (*.f64 -1/120 (pow.f64 x 3))) (/.f64 2 x))
(fma.f64 x -1/6 (fma.f64 -1/120 (pow.f64 x 3) (/.f64 -2 x)))
(-.f64 (+.f64 (*.f64 -1/6 x) (+.f64 (*.f64 -1/3024 (pow.f64 x 5)) (*.f64 -1/120 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -1/6 x (fma.f64 -1/3024 (pow.f64 x 5) (*.f64 -1/120 (pow.f64 x 3)))) (/.f64 2 x))
(+.f64 (fma.f64 -1/120 (pow.f64 x 3) (*.f64 -1/3024 (pow.f64 x 5))) (fma.f64 x -1/6 (/.f64 -2 x)))
(+.f64 (fma.f64 x -1/6 (/.f64 -2 x)) (fma.f64 -1/120 (pow.f64 x 3) (*.f64 -1/3024 (pow.f64 x 5))))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (+.f64 (cos.f64 x) -1))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (+.f64 (cos.f64 x) -1))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (+.f64 (cos.f64 x) -1))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (+.f64 (cos.f64 x) -1))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (+.f64 (cos.f64 x) -1))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (+.f64 (cos.f64 x) -1))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (+.f64 (cos.f64 x) -1))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (+.f64 (cos.f64 x) -1))
1/2
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(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 -1 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) x))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 -1 x) (/.f64 x (sqrt.f64 (+.f64 -1 (cos.f64 x))))) (sqrt.f64 (+.f64 -1 (cos.f64 x))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 -1 x) (/.f64 x (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2))) (cbrt.f64 (+.f64 -1 (cos.f64 x))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (/.f64 x (*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (+.f64 -1 (cos.f64 x))))) (/.f64 -1 (cbrt.f64 x)))
(*.f64 (*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (/.f64 -1 (cbrt.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 3))
(*.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (/.f64 x (+.f64 -1 (cos.f64 x)))) (/.f64 -1 (cbrt.f64 x)))
(*.f64 (*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (/.f64 -1 (cbrt.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 3))
(*.f64 (/.f64 (/.f64 -1 (*.f64 x x)) -1) (-.f64 1 (cos.f64 x)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 -1 (*.f64 x x)) 1) (+.f64 -1 (cos.f64 x)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (sqrt.f64 (+.f64 -1 (cos.f64 x))))) (sqrt.f64 (+.f64 -1 (cos.f64 x))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2))) (cbrt.f64 (+.f64 -1 (cos.f64 x))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) x) -1)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 x)))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sqrt.f64 x)) (/.f64 -1 (*.f64 x (sqrt.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (cbrt.f64 x)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 -1 (cos.f64 x)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 x)))))
(*.f64 (/.f64 (/.f64 -1 (*.f64 x x)) (/.f64 (-.f64 -1 (pow.f64 (cos.f64 x) 3)) (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) (cos.f64 x) -1) (*.f64 x x)) (/.f64 (-.f64 -1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1)))
(*.f64 (/.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (/.f64 -1 (*.f64 x x)) (/.f64 (-.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (-.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (*.f64 x x))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 1))))
(*.f64 (/.f64 (/.f64 -1 (*.f64 x x)) (/.f64 (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3)) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) -1))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x)) (/.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3)) (fma.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 -1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) 1)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x)) (/.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3)) (fma.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) -1)) 1)))
(*.f64 (/.f64 (*.f64 (/.f64 -1 x) (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))) 1) (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) x))
(*.f64 (/.f64 (*.f64 (/.f64 -1 x) (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))) (sqrt.f64 x)) (sqrt.f64 (+.f64 -1 (cos.f64 x))))
(/.f64 (*.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) x) (sqrt.f64 (+.f64 (cos.f64 x) -1))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) x) (sqrt.f64 x)))
(*.f64 (/.f64 (*.f64 (/.f64 -1 x) (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) x) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 2)) 1) (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (/.f64 -1 (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1))) 2) x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (/.f64 -1 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1))) 2))))
(*.f64 (/.f64 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 2)) (cbrt.f64 x)) (cbrt.f64 (+.f64 -1 (cos.f64 x))))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 -1 x) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1))) 2))))
(/.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (/.f64 -1 x)) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1))) 2)) (cbrt.f64 x))
(*.f64 (/.f64 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 -1 x) (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 -1 (*.f64 (cbrt.f64 (neg.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1))) 2)))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) -1)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (*.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 1))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (*.f64 (/.f64 -1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (*.f64 1 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (/.f64 1 x)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 -1 x) 3) (pow.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 3)))
(cbrt.f64 (/.f64 (/.f64 -1 (pow.f64 x 3)) (pow.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) 3)))
(cbrt.f64 (/.f64 -1 (*.f64 (pow.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) 3) (pow.f64 x 3))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 1))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

eval402.0ms (3.6%)

Compiler

Compiled 22108 to 14967 computations (32.3% saved)

prune225.0ms (2%)

Pruning

23 alts after pruning (15 fresh and 8 done)

PrunedKeptTotal
New110161107
Fresh3912
Picked011
Done3710
Total1107231130
Error
0b
Counts
1130 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
30.3b
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x)
31.9b
(/.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x))))) (*.f64 x x))
31.3b
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
30.3b
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x))))
13.4b
(/.f64 (/.f64 -1 x) (-.f64 (*.f64 x -1/6) (/.f64 2 x)))
31.4b
(/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x))
44.7b
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))
31.3b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
31.3b
(/.f64 (+.f64 (/.f64 1 (/.f64 1 (neg.f64 (cos.f64 x)))) 1) (*.f64 x x))
30.3b
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x)
16.8b
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
0.6b
(/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) x))
44.0b
(/.f64 6 (*.f64 x x))
32.4b
(/.f64 1 (/.f64 1 (+.f64 (*.f64 -1/24 (*.f64 x x)) 1/2)))
31.3b
(/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))))
31.2b
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x)))
32.4b
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
16.8b
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x))
16.8b
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
31.5b
(*.f64 (/.f64 1/2 x) x)
31.3b
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
31.4b
1/2
45.5b
0
Compiler

Compiled 243 to 170 computations (30% saved)

regimes40.0ms (0.4%)

Counts
43 → 1
Calls
Call 1
Inputs
0
1/2
(*.f64 (/.f64 1/2 x) x)
(/.f64 6 (*.f64 x x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (+.f64 -1 1) (*.f64 x x))
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x))
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(/.f64 1 (/.f64 1 (+.f64 (*.f64 -1/24 (*.f64 x x)) 1/2)))
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 -1 x) (-.f64 (*.f64 x -1/6) (/.f64 2 x)))
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x)
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x))
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))))
(/.f64 1 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x)
(/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x))
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
(/.f64 (+.f64 (/.f64 1 (/.f64 1 (neg.f64 (cos.f64 x)))) 1) (*.f64 x x))
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x)))
(/.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x))))) (*.f64 x x))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) 3)
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x))
(/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) x))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3)
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (*.f64 x x))
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
Outputs
(/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) x))
Calls

2 calls:

18.0ms
x
6.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.6b1x
0.6b1(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 476 to 266 computations (44.1% saved)

regimes69.0ms (0.6%)

Counts
33 → 3
Calls
Call 1
Inputs
0
1/2
(*.f64 (/.f64 1/2 x) x)
(/.f64 6 (*.f64 x x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (+.f64 -1 1) (*.f64 x x))
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x))
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(/.f64 1 (/.f64 1 (+.f64 (*.f64 -1/24 (*.f64 x x)) 1/2)))
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 -1 x) (-.f64 (*.f64 x -1/6) (/.f64 2 x)))
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x)
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x))
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))))
(/.f64 1 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)))
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x)
(/.f64 (-.f64 (-.f64 2 (cos.f64 x)) 1) (*.f64 x x))
(/.f64 (/.f64 -1 x) (/.f64 x (+.f64 -1 (cos.f64 x))))
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
(/.f64 (+.f64 (/.f64 1 (/.f64 1 (neg.f64 (cos.f64 x)))) 1) (*.f64 x x))
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x)))
(/.f64 (/.f64 1 (fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x))))) (*.f64 x x))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))) 3)
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x))
Outputs
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x)
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x)
Calls

2 calls:

40.0ms
x
22.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.4b3x
1.1b2(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 333 to 186 computations (44.1% saved)

bsearch36.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
0.003433862113110852
3812182.909657894
18.0ms
-1815.9139689700164
-5.178253970543706e-6
Results
32.0ms288×body256valid
Compiler

Compiled 382 to 288 computations (24.6% saved)

regimes40.0ms (0.4%)

Counts
20 → 3
Calls
Call 1
Inputs
0
1/2
(*.f64 (/.f64 1/2 x) x)
(/.f64 6 (*.f64 x x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (+.f64 -1 1) (*.f64 x x))
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x))
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(/.f64 1 (/.f64 1 (+.f64 (*.f64 -1/24 (*.f64 x x)) 1/2)))
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 -1 x) (-.f64 (*.f64 x -1/6) (/.f64 2 x)))
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x)
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 -1 x) x))
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))))
(/.f64 1 (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 1/2)))
Outputs
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x)
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x)
Calls

2 calls:

26.0ms
x
10.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.4b3x
0.9b3(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 182 to 105 computations (42.3% saved)

bsearch61.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
0.003433862113110852
3812182.909657894
43.0ms
-1815.9139689700164
-5.178253970543706e-6
Results
57.0ms288×body256valid
Compiler

Compiled 373 to 279 computations (25.2% saved)

regimes31.0ms (0.3%)

Counts
14 → 3
Calls
Call 1
Inputs
0
1/2
(*.f64 (/.f64 1/2 x) x)
(/.f64 6 (*.f64 x x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (+.f64 -1 1) (*.f64 x x))
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x))
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(/.f64 1 (/.f64 1 (+.f64 (*.f64 -1/24 (*.f64 x x)) 1/2)))
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 -1 x) (-.f64 (*.f64 x -1/6) (/.f64 2 x)))
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Calls

2 calls:

20.0ms
x
9.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.8b3x
0.9b3(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 123 to 71 computations (42.3% saved)

bsearch38.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
0.003433862113110852
3812182.909657894
19.0ms
-1815.9139689700164
-5.178253970543706e-6
Results
34.0ms288×body256valid
Compiler

Compiled 355 to 261 computations (26.5% saved)

regimes12.0ms (0.1%)

Counts
13 → 1
Calls
Call 1
Inputs
0
1/2
(*.f64 (/.f64 1/2 x) x)
(/.f64 6 (*.f64 x x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (+.f64 -1 1) (*.f64 x x))
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x))
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(/.f64 1 (/.f64 1 (+.f64 (*.f64 -1/24 (*.f64 x x)) 1/2)))
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 -1 x) (-.f64 (*.f64 x -1/6) (/.f64 2 x)))
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
Outputs
(/.f64 (/.f64 -1 x) (-.f64 (*.f64 x -1/6) (/.f64 2 x)))
Calls

1 calls:

9.0ms
x
Results
ErrorSegmentsBranch
13.4b1x
Compiler

Compiled 106 to 61 computations (42.5% saved)

regimes18.0ms (0.2%)

Counts
10 → 3
Calls
Call 1
Inputs
0
1/2
(*.f64 (/.f64 1/2 x) x)
(/.f64 6 (*.f64 x x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (+.f64 -1 1) (*.f64 x x))
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x))
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(/.f64 1 (/.f64 1 (+.f64 (*.f64 -1/24 (*.f64 x x)) 1/2)))
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))
Outputs
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))
Calls

1 calls:

16.0ms
x
Results
ErrorSegmentsBranch
13.3b3x
Compiler

Compiled 71 to 41 computations (42.3% saved)

bsearch38.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
0.003433862113110852
3812182.909657894
19.0ms
-1815.9139689700164
-5.178253970543706e-6
Results
35.0ms288×body256valid
Compiler

Compiled 409 to 279 computations (31.8% saved)

regimes19.0ms (0.2%)

Counts
9 → 3
Calls
Call 1
Inputs
0
1/2
(*.f64 (/.f64 1/2 x) x)
(/.f64 6 (*.f64 x x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (+.f64 -1 1) (*.f64 x x))
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x))
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(/.f64 1 (/.f64 1 (+.f64 (*.f64 -1/24 (*.f64 x x)) 1/2)))
Outputs
(/.f64 6 (*.f64 x x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 6 (*.f64 x x))
Calls

1 calls:

17.0ms
x
Results
ErrorSegmentsBranch
13.3b3x
Compiler

Compiled 60 to 36 computations (40% saved)

bsearch38.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
0.003433862113110852
3812182.909657894
19.0ms
-1815.9139689700164
-5.178253970543706e-6
Results
34.0ms288×body256valid
Compiler

Compiled 301 to 225 computations (25.2% saved)

regimes11.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
0
1/2
(*.f64 (/.f64 1/2 x) x)
(/.f64 6 (*.f64 x x))
Outputs
(/.f64 6 (*.f64 x x))
1/2
(/.f64 6 (*.f64 x x))
Calls

1 calls:

10.0ms
x
Results
ErrorSegmentsBranch
13.5b3x
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch37.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
0.003433862113110852
3812182.909657894
19.0ms
-1815.9139689700164
-5.178253970543706e-6
Results
33.0ms288×body256valid
Compiler

Compiled 193 to 153 computations (20.7% saved)

regimes10.0ms (0.1%)

Accuracy

Total -46.9b remaining (-312.4%)

Threshold costs -46.9b (-312.4%)

Counts
3 → 3
Calls
Call 1
Inputs
0
1/2
(*.f64 (/.f64 1/2 x) x)
Outputs
0
1/2
0
Calls

1 calls:

9.0ms
x
Results
ErrorSegmentsBranch
15.0b3x
Compiler

Compiled 10 to 7 computations (30% saved)

bsearch67.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
35.0ms
1.6668880169923645e+61
3.0856111764894887e+91
32.0ms
-1.6705335055268532e+78
-6.33550776722313e+72
Results
54.0ms256×body512valid
9.0ms64×body256valid
Compiler

Compiled 133 to 129 computations (3% saved)

simplify14.0ms (0.1%)

Algorithm
egg-herbie
Rules
16×+-commutative
16×*-commutative
12×sub-neg
12×if-if-or-not
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074480
1106480
2120480
3125480
4127480
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) x))
(if (<=.f64 x -4842270319348757/1152921504606846976) (/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x) (if (<=.f64 x 1152921504606847/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x)))
(if (<=.f64 x -4842270319348757/1152921504606846976) (/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x) (if (<=.f64 x 1152921504606847/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x)))
(if (<=.f64 x -4842270319348757/1152921504606846976) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 1152921504606847/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (/.f64 -1 x) (-.f64 (*.f64 x -1/6) (/.f64 2 x)))
(if (<=.f64 x -7/2) (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) (if (<=.f64 x 7656119366529843/2251799813685248) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))))
(if (<=.f64 x -3715469692580659/1125899906842624) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 3715469692580659/1125899906842624) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 6 (*.f64 x x))))
(if (<=.f64 x -7/2) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 7656119366529843/2251799813685248) 1/2 (/.f64 6 (*.f64 x x))))
(if (<=.f64 x -110000000000000001962738706031621103723231430804207733362659817318295074242560) 0 (if (<=.f64 x 80000000000000003764810759672437567132476811262933046114229676279185996251136) 1/2 0))
0
Outputs
(/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) x))
(/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 x (sin.f64 x))))
(if (<=.f64 x -4842270319348757/1152921504606846976) (/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x) (if (<=.f64 x 1152921504606847/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x)) x)))
(if (<=.f64 x -4842270319348757/1152921504606846976) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 1152921504606847/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 x)) x)))
(if (<=.f64 x -4842270319348757/1152921504606846976) (/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x) (if (<=.f64 x 1152921504606847/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x) x)))
(if (or (<=.f64 x -4842270319348757/1152921504606846976) (not (<=.f64 x 1152921504606847/288230376151711744))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))))
(if (<=.f64 x -4842270319348757/1152921504606846976) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 1152921504606847/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(if (or (<=.f64 x -4842270319348757/1152921504606846976) (not (<=.f64 x 1152921504606847/288230376151711744))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))))
(/.f64 (/.f64 -1 x) (-.f64 (*.f64 x -1/6) (/.f64 2 x)))
(/.f64 (/.f64 -1 x) (+.f64 (*.f64 x -1/6) (/.f64 -2 x)))
(if (<=.f64 x -7/2) (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) (if (<=.f64 x 7656119366529843/2251799813685248) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))))
(if (or (<=.f64 x -7/2) (not (<=.f64 x 7656119366529843/2251799813685248))) (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))))
(if (or (<=.f64 x -7/2) (not (<=.f64 x 7656119366529843/2251799813685248))) (/.f64 (+.f64 6 (/.f64 -72 (*.f64 x x))) (*.f64 x x)) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))))
(if (<=.f64 x -3715469692580659/1125899906842624) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 3715469692580659/1125899906842624) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 6 (*.f64 x x))))
(if (or (<=.f64 x -3715469692580659/1125899906842624) (not (<=.f64 x 3715469692580659/1125899906842624))) (/.f64 6 (*.f64 x x)) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))))
(if (<=.f64 x -7/2) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 7656119366529843/2251799813685248) 1/2 (/.f64 6 (*.f64 x x))))
(if (or (<=.f64 x -7/2) (not (<=.f64 x 7656119366529843/2251799813685248))) (/.f64 6 (*.f64 x x)) 1/2)
(if (<=.f64 x -110000000000000001962738706031621103723231430804207733362659817318295074242560) 0 (if (<=.f64 x 80000000000000003764810759672437567132476811262933046114229676279185996251136) 1/2 0))
0
Compiler

Compiled 188 to 132 computations (29.8% saved)

soundness77.0ms (0.7%)

Algorithm
egg-herbie
Rules
552×div-sub
432×associate-/l*
432×associate-+r+
390×associate-+l+
370×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03215119
18904897
239464843
Stop Event
node limit
Compiler

Compiled 15 to 12 computations (20% saved)

end83.0ms (0.7%)

Compiler

Compiled 179 to 116 computations (35.2% saved)

Profiling

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