Details

Time bar (total: 12.5s)

analyze80.0ms (0.6%)

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)

sample2.6s (20.9%)

Results
1.3s1998×body2048valid
456.0ms1165×body1024valid
418.0ms3381×body256valid
324.0ms1612×body512valid
68.0ms100×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)

simplify77.0ms (0.6%)

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
34.1b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
34.1b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize41.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
2.7b
(-.f64 1 (cos.f64 x))
15.6b
(/.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))

rewrite70.0ms (0.6%)

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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simplify103.0ms (0.8%)

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)))
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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))
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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))))
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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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(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))))
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(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
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(*.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))

eval103.0ms (0.8%)

Compiler

Compiled 4007 to 2144 computations (46.5% saved)

prune48.0ms (0.4%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New18216198
Fresh000
Picked011
Done000
Total18217199
Error
0b
Counts
199 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
33.4b
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
33.6b
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
34.1b
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (fabs.f64 (sin.f64 x)))) (*.f64 x x))
16.5b
(/.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 x x))
34.1b
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
34.1b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
16.4b
(/.f64 (*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x)) (*.f64 x x))
16.4b
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x x))
16.3b
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
34.1b
(/.f64 (log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
34.1b
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) (*.f64 x x))
33.7b
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))
29.3b
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
33.8b
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
33.3b
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
34.1b
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
28.4b
1/2
Compiler

Compiled 383 to 270 computations (29.5% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
15.8b
(/.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)))

rewrite77.0ms (0.6%)

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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simplify110.0ms (0.9%)

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))
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(+.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))
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(*.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 (0.6%)

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))))))))

simplify39.0ms (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
0.1b
(/.f64 1 (-.f64 1 (cos.f64 x)))
0.2b
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
2.7b
(-.f64 1 (cos.f64 x))
15.6b
(/.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))

rewrite231.0ms (1.9%)

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 (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 (cos.f64 x) -1) (/.f64 1 (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))))) (#(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 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (*.f64 x x))) (+.f64 (cos.f64 x) -1))))) (#(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 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 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 (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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1))))) (#(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 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) 1) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2)) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) -1) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (+.f64 (cos.f64 x) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x -2) -1) 1) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x -2) -1) -1) (-.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 neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (neg.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 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))))))) 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simplify284.0ms (2.3%)

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)))
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(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
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(*.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)))))
(+.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 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 (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))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(+.f64 (*.f64 1/120 (pow.f64 x 2)) (+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6))
(+.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))))))
(fma.f64 1/120 (*.f64 x x) (+.f64 1/6 (fma.f64 1/3024 (pow.f64 x 4) (/.f64 2 (*.f64 x x)))))
(+.f64 (fma.f64 (pow.f64 x 4) 1/3024 (/.f64 2 (*.f64 x x))) (fma.f64 1/120 (*.f64 x x) 1/6))
(+.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 (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 (*.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 (*.f64 (neg.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) (*.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)) (*.f64 x x))
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(/.f64 (-.f64 (-.f64 -1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))
(*.f64 -1 (/.f64 1 (+.f64 (cos.f64 x) -1)))
(/.f64 -1 (+.f64 (cos.f64 x) -1))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) -1)
(/.f64 -1 (+.f64 (cos.f64 x) -1))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)))))
(/.f64 -1 (+.f64 (cos.f64 x) -1))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(*.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 -1 (+.f64 (cos.f64 x) -1))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(*.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 (cbrt.f64 (+.f64 (cos.f64 x) -1))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x)))
(*.f64 (+.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.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 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (-.f64 (-.f64 -1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))
(*.f64 (/.f64 -1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 -1 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 -1 (+.f64 (cos.f64 x) -1))
(/.f64 1 (-.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 (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))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) -1) (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) -1))
(/.f64 -1 (+.f64 (cos.f64 x) -1))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(*.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 -1 (+.f64 (cos.f64 x) -1))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(*.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 -1 (+.f64 (cos.f64 x) -1))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(*.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 (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))))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (+.f64 (neg.f64 (cos.f64 x)) -1))
(/.f64 (*.f64 1 (+.f64 (neg.f64 (cos.f64 x)) -1)) (+.f64 -1 (pow.f64 (cos.f64 x) 2)))
(/.f64 (-.f64 -1 (cos.f64 x)) (+.f64 -1 (pow.f64 (cos.f64 x) 2)))
(*.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 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (-.f64 (-.f64 -1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))
(*.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 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (-.f64 (-.f64 -1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) 1) (pow.f64 (-.f64 1 (cos.f64 x)) -1/2))
(/.f64 -1 (+.f64 (cos.f64 x) -1))
(/.f64 1 (-.f64 1 (cos.f64 x)))
(*.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) (fabs.f64 (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 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (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 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -1/2) (sqrt.f64 -1)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) 1) (/.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))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) -1) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) -2)) -1))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (neg.f64 (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 (/.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 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (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 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (/.f64 -1 (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 1 (+.f64 (neg.f64 (cos.f64 x)) -1)) (+.f64 -1 (pow.f64 (cos.f64 x) 2)))
(/.f64 (-.f64 -1 (cos.f64 x)) (+.f64 -1 (pow.f64 (cos.f64 x) 2)))
(*.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 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (-.f64 (-.f64 -1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))
(*.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 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 -1 (cbrt.f64 (+.f64 (cos.f64 x) -1))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.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 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 x) -1))) (/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(*.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 (cos.f64 x)))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (/.f64 (*.f64 1 (cbrt.f64 (+.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (sin.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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (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 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.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))))))
(*.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 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (pow.f64 (cos.f64 x) 6)))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (cos.f64 x) 6))))
(*.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 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 1 (+.f64 (*.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (cos.f64 x) 6)))) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)))
(*.f64 (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3))) (+.f64 (pow.f64 (cos.f64 x) 3) (+.f64 (pow.f64 (cos.f64 x) 6) 1)))
(*.f64 (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3))) (+.f64 (pow.f64 (cos.f64 x) 3) (+.f64 1 (pow.f64 (cos.f64 x) 6))))
(*.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 (cos.f64 x) 2))) (-.f64 1 (*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 3))))
(/.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)))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f64 (-.f64 1 (cos.f64 x)))
0.1b
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)
0.2b
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
2.7b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 31 to 19 computations (38.7% saved)

series7.0ms (0.1%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@0
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
2.0ms
x
@inf
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
1.0ms
x
@-inf
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
0.0ms
x
@0
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)
0.0ms
x
@0
(sqrt.f64 (-.f64 1 (cos.f64 x)))

rewrite109.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
980×associate-*r/
904×*-commutative
762×associate-/r*
746×associate-*l/
622×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01163
122959
2279959
Stop Event
node limit
Counts
3 → 283
Calls
Call 1
Inputs
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)
(sqrt.f64 (-.f64 1 (cos.f64 x)))
Outputs
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(-.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (cos.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))))))

simplify162.0ms (1.3%)

Algorithm
egg-herbie
Rules
1788×times-frac
1188×associate-/r*
854×associate-/l/
828×associate-*r/
818×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067314691
1191713367
Stop Event
node limit
Counts
311 → 405
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 1/2) 2)
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (pow.f64 (sqrt.f64 1/2) 2))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2304 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 2))) 1/720) (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 x 4)) (pow.f64 (sqrt.f64 1/2) 2)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2304 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 2))) 1/720) (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 x 4)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 1/40320 (*.f64 -1/48 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (*.f64 -1/48 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 x 6)) (pow.f64 (sqrt.f64 1/2) 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 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/48 (/.f64 (pow.f64 x 2) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 x 4)) (sqrt.f64 1/2))) (*.f64 -1/48 (/.f64 (pow.f64 x 2) (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 x 4)) (sqrt.f64 1/2))) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 2) (sqrt.f64 1/2))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/40320 (*.f64 -1/48 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 x 6)) (sqrt.f64 1/2))))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))
(*.f64 (sqrt.f64 1/2) x)
(+.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (sqrt.f64 1/2))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 x 5)) (sqrt.f64 1/2))) (+.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (sqrt.f64 1/2)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/40320 (*.f64 -1/48 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 x 7)) (sqrt.f64 1/2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 x 5)) (sqrt.f64 1/2))) (+.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (sqrt.f64 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1)
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 x) x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (/.f64 1 x) 2))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 -1 x) (/.f64 -1 x)))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) x))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) x) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 4)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 4)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) x) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) x)))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))
(*.f64 (pow.f64 (/.f64 1 x) 2) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (neg.f64 x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 x (pow.f64 (-.f64 1 (cos.f64 x)) 1/4))) (pow.f64 (-.f64 1 (cos.f64 x)) 1/4))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x))))
(*.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x))))
(*.f64 (*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) 1)) (*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) x) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) x)))
(*.f64 (*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (pow.f64 (cbrt.f64 x) 2))) (*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (cbrt.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (cbrt.f64 x))))
(*.f64 (*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 1)) (*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) x) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) x)))
(*.f64 (*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x))) (*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 x))))
(*.f64 (*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 1 (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 x x) 1))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) 1))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (pow.f64 (-.f64 1 (cos.f64 x)) 1/4))))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (/.f64 (*.f64 x x) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 1/4))))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (-.f64 1 (cos.f64 x)) 1/4)))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) x)))
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (/.f64 (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4))))
(/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) x)))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))))
(/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (*.f64 x x) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))))
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(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 4))
(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))
(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))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) 1)
(*.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 1)
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) x))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) x))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 -1 x))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 4))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 4))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) x) (pow.f64 (-.f64 1 (cos.f64 x)) 1/4))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) x) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) 1))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) x) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 -1 x) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) x))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (cbrt.f64 x)) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) x))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 1)
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 3) 1/3)
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) x))
(neg.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (neg.f64 x)) 1))
(neg.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 -1 x)))
(neg.f64 (*.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (neg.f64 x))))
(sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(fabs.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 1 1/2))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (pow.f64 (-.f64 1 (cos.f64 x)) 1/4))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (neg.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (neg.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))))
(*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) (neg.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))))
(*.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4)) (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4)))
(*.f64 (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1/2))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (cbrt.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4))) (pow.f64 (-.f64 1 (cos.f64 x)) 1/4))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.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)))))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 1 (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 1 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (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 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (pow.f64 1 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 1 1/2) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (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))) 1) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (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 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(pow.f64 (-.f64 1 (cos.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2) 1/3)
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(fabs.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
Outputs
(pow.f64 (sqrt.f64 1/2) 2)
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (pow.f64 (sqrt.f64 1/2) 2))
(fma.f64 -1/24 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 2))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2304 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 2))) 1/720) (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 x 4)) (pow.f64 (sqrt.f64 1/2) 2)))
(fma.f64 -1/24 (*.f64 x x) (fma.f64 (+.f64 (/.f64 1/2304 (pow.f64 (sqrt.f64 1/2) 2)) (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2))) (pow.f64 x 4) (pow.f64 (sqrt.f64 1/2) 2)))
(fma.f64 -1/24 (*.f64 x x) (fma.f64 (-.f64 (+.f64 (/.f64 1/2304 (pow.f64 (sqrt.f64 1/2) 2)) 1/720) (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 x 4) (pow.f64 (sqrt.f64 1/2) 2)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2304 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 2))) 1/720) (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 x 4)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 1/40320 (*.f64 -1/48 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (*.f64 -1/48 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 x 6)) (pow.f64 (sqrt.f64 1/2) 2))))
(fma.f64 -1/24 (*.f64 x x) (fma.f64 (+.f64 (/.f64 1/2304 (pow.f64 (sqrt.f64 1/2) 2)) (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2))) (pow.f64 x 4) (fma.f64 (fma.f64 -1 (+.f64 1/40320 (*.f64 -1/48 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 -1/48 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 x 6) (pow.f64 (sqrt.f64 1/2) 2))))
(fma.f64 -1/24 (*.f64 x x) (fma.f64 (-.f64 (+.f64 (/.f64 1/2304 (pow.f64 (sqrt.f64 1/2) 2)) 1/720) (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 x 4) (fma.f64 (-.f64 (*.f64 -1/48 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))) (+.f64 1/40320 (*.f64 -1/48 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (pow.f64 x 6) (pow.f64 (sqrt.f64 1/2) 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)) (*.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))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/48 (/.f64 (pow.f64 x 2) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (*.f64 -1/48 (/.f64 (*.f64 x x) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (/.f64 (*.f64 -1/48 (*.f64 x x)) (sqrt.f64 1/2)))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 x 4)) (sqrt.f64 1/2))) (*.f64 -1/48 (/.f64 (pow.f64 x 2) (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 1/2 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (/.f64 (sqrt.f64 1/2) (pow.f64 x 4))) (*.f64 -1/48 (/.f64 (*.f64 x x) (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 1/2 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (/.f64 (sqrt.f64 1/2) (pow.f64 x 4))) (/.f64 (*.f64 -1/48 (*.f64 x x)) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 x 4)) (sqrt.f64 1/2))) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 2) (sqrt.f64 1/2))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 1/40320 (*.f64 -1/48 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 x 6)) (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 1/2 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (/.f64 (sqrt.f64 1/2) (pow.f64 x 4))) (fma.f64 -1/48 (/.f64 (*.f64 x x) (sqrt.f64 1/2)) (*.f64 -1/2 (/.f64 (+.f64 1/40320 (*.f64 -1/48 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (/.f64 (sqrt.f64 1/2) (pow.f64 x 6)))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 1/2 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (/.f64 (sqrt.f64 1/2) (pow.f64 x 4))) (fma.f64 -1/48 (/.f64 (*.f64 x x) (sqrt.f64 1/2)) (/.f64 (*.f64 -1/2 (+.f64 1/40320 (*.f64 -1/48 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (/.f64 (sqrt.f64 1/2) (pow.f64 x 6))))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)
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(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (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 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(pow.f64 (-.f64 1 (cos.f64 x)) 1/2)
(sqrt.f64 (-.f64 1 (cos.f64 x)))
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)
(sqrt.f64 (-.f64 1 (cos.f64 x)))
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) 2)
(sqrt.f64 (-.f64 1 (cos.f64 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) 3)
(sqrt.f64 (-.f64 1 (cos.f64 x)))
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2))
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(sqrt.f64 (-.f64 1 (cos.f64 x)))
(fabs.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(sqrt.f64 (-.f64 1 (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(sqrt.f64 (-.f64 1 (cos.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(sqrt.f64 (-.f64 1 (cos.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1/2))
(exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (cos.f64 x)))))
(pow.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) 1/2)
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(sqrt.f64 (-.f64 1 (cos.f64 x)))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
0.3b
(pow.f64 (-.f64 1 (cos.f64 x)) 3)
2.7b
(-.f64 1 (cos.f64 x))
15.6b
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) (*.f64 x x))
Compiler

Compiled 37 to 22 computations (40.5% saved)

series2.0ms (0%)

Counts
3 → 28
Calls

9 calls:

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

rewrite93.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1600×associate-*r/
1188×associate-*l/
1170×associate-/r*
1052×associate-/l*
966×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01251
125551
2305851
Stop Event
node limit
Counts
3 → 210
Calls
Call 1
Inputs
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) (*.f64 x x))
(pow.f64 (-.f64 1 (cos.f64 x)) 3)
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
Outputs
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((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 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.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 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (cos.f64 x)) (+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 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(-.f64 2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))))))

simplify175.0ms (1.4%)

Algorithm
egg-herbie
Rules
1552×associate-+r+
1108×associate-/l*
824×associate-*l*
804×associate-*r*
726×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050110384
113188472
270788472
Stop Event
node limit
Counts
238 → 302
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 1/8 (pow.f64 x 6))
(+.f64 (*.f64 -1/32 (pow.f64 x 8)) (*.f64 1/8 (pow.f64 x 6)))
(+.f64 (*.f64 7/1920 (pow.f64 x 10)) (+.f64 (*.f64 -1/32 (pow.f64 x 8)) (*.f64 1/8 (pow.f64 x 6))))
(+.f64 (*.f64 7/1920 (pow.f64 x 10)) (+.f64 (*.f64 -1/32 (pow.f64 x 8)) (+.f64 (*.f64 -1/3780 (pow.f64 x 12)) (*.f64 1/8 (pow.f64 x 6)))))
(*.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 (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)
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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 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.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 (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 -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)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (pow.f64 (cbrt.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 (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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
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(*.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))))
(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 x (/.f64 (-.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)))
(log.f64 (pow.f64 (exp.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))
(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 (-.f64 1 (cos.f64 x)) (+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (cos.f64 x)))))
(+.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (cos.f64 x))))
(+.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))) 1)
(*.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 3))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3/2) (pow.f64 (-.f64 1 (cos.f64 x)) 3/2))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 1 (cos.f64 x)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
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(/.f64 (*.f64 (pow.f64 1 1/3) (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 (pow.f64 1 1/3) (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 1 1/3) (+.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 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.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 (*.f64 (cos.f64 x) (+.f64 1 (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 (sin.f64 x) (sin.f64 x))) (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))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3)) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3)) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.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 (*.f64 (cos.f64 x) (+.f64 1 (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 (*.f64 (cos.f64 x) (+.f64 1 (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 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(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)
(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)))))
(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 (*.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 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 1/8 (pow.f64 x 6))
(*.f64 (pow.f64 x 6) 1/8)
(+.f64 (*.f64 -1/32 (pow.f64 x 8)) (*.f64 1/8 (pow.f64 x 6)))
(fma.f64 -1/32 (pow.f64 x 8) (*.f64 (pow.f64 x 6) 1/8))
(fma.f64 (pow.f64 x 6) 1/8 (*.f64 -1/32 (pow.f64 x 8)))
(+.f64 (*.f64 7/1920 (pow.f64 x 10)) (+.f64 (*.f64 -1/32 (pow.f64 x 8)) (*.f64 1/8 (pow.f64 x 6))))
(fma.f64 7/1920 (pow.f64 x 10) (fma.f64 -1/32 (pow.f64 x 8) (*.f64 (pow.f64 x 6) 1/8)))
(fma.f64 7/1920 (pow.f64 x 10) (fma.f64 (pow.f64 x 6) 1/8 (*.f64 -1/32 (pow.f64 x 8))))
(+.f64 (*.f64 7/1920 (pow.f64 x 10)) (+.f64 (*.f64 -1/32 (pow.f64 x 8)) (+.f64 (*.f64 -1/3780 (pow.f64 x 12)) (*.f64 1/8 (pow.f64 x 6)))))
(fma.f64 7/1920 (pow.f64 x 10) (fma.f64 -1/32 (pow.f64 x 8) (fma.f64 -1/3780 (pow.f64 x 12) (*.f64 (pow.f64 x 6) 1/8))))
(fma.f64 7/1920 (pow.f64 x 10) (fma.f64 -1/32 (pow.f64 x 8) (fma.f64 (pow.f64 x 6) 1/8 (*.f64 -1/3780 (pow.f64 x 12)))))
(*.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)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(+.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))
(-.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)) (*.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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.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 (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)) (*.f64 x x))
(*.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 (-.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)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(/.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)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.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 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 (-.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 (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 (*.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 (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 (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 (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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (*.f64 (cbrt.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 (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))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.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))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 x 4)))
(*.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 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))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.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)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
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(/.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 (fabs.f64 (sin.f64 x)) (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))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (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) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.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 1 (pow.f64 (cos.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3)) (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 (*.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 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3)) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) (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 (/.f64 1 (+.f64 1 (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 4))) (+.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 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))) (+.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 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (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 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 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))))
(/.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))) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.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 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.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 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(-.f64 1 (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))
(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))
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))

eval833.0ms (6.7%)

Compiler

Compiled 32529 to 19344 computations (40.5% saved)

prune386.0ms (3.1%)

Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New1520121532
Fresh8311
Picked101
Done235
Total1531181549
Error
0b
Counts
1549 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
33.4b
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
33.3b
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
45.5b
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
31.7b
(/.f64 (/.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6))) (*.f64 x x))
30.3b
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
34.1b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
34.1b
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
34.1b
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x)))))
34.0b
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
29.3b
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
33.8b
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
33.3b
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
16.5b
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x))
16.5b
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
16.7b
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (*.f64 x 1/2)))
0.2b
(*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))
34.1b
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
28.4b
1/2
Compiler

Compiled 377 to 258 computations (31.6% saved)

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 42 to 23 computations (45.2% saved)

series3.0ms (0%)

Counts
3 → 28
Calls

9 calls:

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

rewrite104.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1620×associate-/r*
1464×associate-/l*
476×associate-/l/
378×associate-/r/
264×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01371
126771
2339071
Stop Event
node limit
Counts
3 → 334
Calls
Call 1
Inputs
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 (*.f64 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) x) (/.f64 1 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 1 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 1 (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 1 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (/.f64 1 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 x (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 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x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 x) 1) 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) 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(neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (/.f64 1 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))))))

simplify141.0ms (1.1%)

Algorithm
egg-herbie
Rules
1414×associate-/r*
1368×associate-/l/
1150×associate-/r/
1058×times-frac
886×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081615994
1225915670
Stop Event
node limit
Counts
362 → 535
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5))))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
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 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) 1)
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 x) (/.f64 (*.f64 x (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 1)
(/.f64 1 (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))))
(/.f64 1 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(/.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(/.f64 1 (*.f64 1 (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 1 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (/.f64 1 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))))
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 x (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sin.f64 x))))
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (/.f64 1 (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 x 1/2)))))
(/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) (/.f64 1 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (/.f64 x (sin.f64 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 x (sin.f64 x)) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 x (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (sin.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 1 (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 1 (sin.f64 x)))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) x)
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 x) (tan.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (*.f64 (neg.f64 x) (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) x) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))) 1))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) (neg.f64 x)) (neg.f64 (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (/.f64 x (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))) (/.f64 x (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 1 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 x (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 (cos.f64 (*.f64 x 1/2)) x))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 1 (*.f64 (cos.f64 (*.f64 x 1/2)) x)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 x) (sin.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) (cbrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) (/.f64 x (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x)))))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 x) (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 1 (*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x)))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 (*.f64 x 1/2)) (neg.f64 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 1 (*.f64 (cos.f64 (*.f64 x 1/2)) (neg.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 x (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 1 (*.f64 x (cos.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (*.f64 (neg.f64 x) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (*.f64 1 (*.f64 (neg.f64 x) (cos.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (neg.f64 x))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (/.f64 x (sin.f64 x))))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (cbrt.f64 (/.f64 x (sin.f64 x))))) (cbrt.f64 (/.f64 x (sin.f64 x))))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 1 (sqrt.f64 (sin.f64 x)))) (/.f64 x (sqrt.f64 (sin.f64 x))))
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(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 x (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (/.f64 x (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (/.f64 1 x) (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 x (sin.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 (*.f64 -1 (tan.f64 (*.f64 x 1/2))) (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 x (*.f64 (cos.f64 (*.f64 x 1/2)) x)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 (*.f64 x x) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (*.f64 x (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 x) 1) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (cbrt.f64 x)))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 x) (/.f64 (sin.f64 x) x))) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) x) (cbrt.f64 x))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 x) (sin.f64 x))) (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 x) (sin.f64 x))) (*.f64 (sqrt.f64 x) x))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) (*.f64 (cbrt.f64 x) x))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) (*.f64 x (cbrt.f64 x)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (cbrt.f64 x))))
(/.f64 (*.f64 (pow.f64 x -1/2) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 x (sin.f64 x)) (*.f64 (pow.f64 x -1/2) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 x x) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x)))))
(/.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) x)))
(/.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 (cbrt.f64 (sin.f64 x)) x)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (cbrt.f64 (/.f64 (sin.f64 x) x))))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x)) (/.f64 x (/.f64 (sin.f64 x) (sqrt.f64 x))))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (/.f64 (sin.f64 x) (cbrt.f64 x))))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 x) (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) 1) (*.f64 x x))
(/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) -1) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 x (*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x)))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 x (*.f64 (cos.f64 (*.f64 x 1/2)) (neg.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 x (*.f64 x (cos.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (*.f64 x (*.f64 (neg.f64 x) (cos.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (neg.f64 x))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 x (sin.f64 x)) (*.f64 (neg.f64 x) (cos.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) x) (/.f64 1 (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (/.f64 x (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (cbrt.f64 (/.f64 x (sin.f64 x))))) (cbrt.f64 (/.f64 x (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 1 (sqrt.f64 (sin.f64 x)))) (/.f64 x (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 x (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sqrt.f64 x) 1)) (/.f64 (sqrt.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) (/.f64 (cbrt.f64 x) (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 (cbrt.f64 x) (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 x) (/.f64 (sin.f64 x) x))) 1) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 x) (/.f64 (sin.f64 x) x))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 x) (/.f64 (sin.f64 x) x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 x) (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) x) 1) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) x) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) x) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) x) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) x) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) 1) x) x)
(/.f64 (/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) 1) 1) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) 1) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) x))
(/.f64 (/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) 1) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) x))
(/.f64 (/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) 1) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) 1) (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) 1) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) -1) x) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 1) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) -1) x)
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) 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)
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x)))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) (neg.f64 x))))
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 2))
(log.f64 (exp.f64 (*.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 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3) (/.f64 1 (pow.f64 x 3))))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3) (pow.f64 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 (sin.f64 x) x))) 1)
(*.f64 (sin.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (sin.f64 x) x) 1)
(*.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 x) (sin.f64 x))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 x))
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(*.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 1 x))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (pow.f64 x -1/2))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) -1)
(*.f64 (/.f64 -1 x) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) 1) (/.f64 1 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(pow.f64 (/.f64 (sin.f64 x) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3)
(pow.f64 (/.f64 x (sin.f64 x)) -1)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) x))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) 1))
(neg.f64 (*.f64 (sin.f64 x) (/.f64 -1 x)))
(neg.f64 (*.f64 1 (/.f64 (sin.f64 x) (neg.f64 x))))
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) 1))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (/.f64 1 (pow.f64 x 3))))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/720 (pow.f64 x 5))))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5)))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -1/40320 (pow.f64 x 7) (*.f64 1/720 (pow.f64 x 5)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)))
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 x (*.f64 x -1/24)))
(+.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 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) (*.f64 x x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) 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 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) (*.f64 x x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) 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 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) (*.f64 x x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) 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 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) (*.f64 x x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) 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 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) (*.f64 x x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) 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 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) (*.f64 x x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) 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 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) (*.f64 x x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) 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 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) (*.f64 x x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x))))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/6 (*.f64 x x)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/120)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/120))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) 1)
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 x) (/.f64 (*.f64 x (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 1)
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(/.f64 1 (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(/.f64 1 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)))
(/.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(/.f64 1 (*.f64 1 (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 1 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (/.f64 1 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x))) 1) (sqrt.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x))))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x))) 2)
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (/.f64 (/.f64 x (sqrt.f64 (tan.f64 (*.f64 1/2 x)))) (sin.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 (tan.f64 (*.f64 1/2 x)))) (/.f64 (sin.f64 x) x))
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 x (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sin.f64 x))))
(/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (/.f64 (/.f64 x (sqrt.f64 (tan.f64 (*.f64 1/2 x)))) (sin.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 (tan.f64 (*.f64 1/2 x)))) (/.f64 (sin.f64 x) x))
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))))
(/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (/.f64 (/.f64 x (sqrt.f64 (tan.f64 (*.f64 1/2 x)))) (sin.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 (tan.f64 (*.f64 1/2 x)))) (/.f64 (sin.f64 x) x))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (/.f64 1 (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) (/.f64 1 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (/.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))
(*.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) (/.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 2) (*.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) x) (sin.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 2) (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (tan.f64 (*.f64 1/2 x)))))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 x (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (sin.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 2) (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (tan.f64 (*.f64 1/2 x)))))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 1 (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 2) (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (tan.f64 (*.f64 1/2 x)))))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 1 (sin.f64 x)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) x)
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 x) (tan.f64 (*.f64 x 1/2))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (*.f64 (neg.f64 x) (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) x) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))) 1))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) (neg.f64 x)) (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))))
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(/.f64 (/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) 1) (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 4)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 x) 4)))
(/.f64 (/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) 1) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 x (tan.f64 (*.f64 1/2 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (/.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) -1) x) (neg.f64 x))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 1) (neg.f64 x))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (*.f64 (/.f64 x (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (/.f64 (sin.f64 x) x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 x (tan.f64 (*.f64 1/2 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (/.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) -1) x)
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (tan.f64 (*.f64 1/2 x))) x)) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))))
(/.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (neg.f64 x))) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (neg.f64 (tan.f64 (*.f64 1/2 x))) x)) (*.f64 (cbrt.f64 (neg.f64 x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))))
(/.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (neg.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (*.f64 (/.f64 x (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (/.f64 (sin.f64 x) x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 x (tan.f64 (*.f64 1/2 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (/.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) (pow.f64 (cbrt.f64 x) 2)))
(pow.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)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x) 2)
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) (*.f64 x x)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 3)
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3) 1/3)
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) (neg.f64 x))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 2))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) 2))
(log.f64 (exp.f64 (*.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)))
(log.f64 (+.f64 1 (expm1.f64 (*.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)))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3) (/.f64 1 (pow.f64 x 3))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)) 3) (/.f64 1 (pow.f64 x 3))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)) 3) (/.f64 1 (pow.f64 x 3))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)) 3) (/.f64 1 (pow.f64 x 3))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.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)))
(exp.f64 (log.f64 (*.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)))
(exp.f64 (*.f64 (log.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)))
(log1p.f64 (expm1.f64 (*.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 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) 1)
(/.f64 (sin.f64 x) x)
(*.f64 (sin.f64 x) (/.f64 1 x))
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (sin.f64 x) x) 1)
(/.f64 (sin.f64 x) x)
(*.f64 1 (/.f64 (sin.f64 x) x))
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 1 x) (sin.f64 x))
(/.f64 (sin.f64 x) x)
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(*.f64 (pow.f64 x -1/2) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))
(/.f64 (sin.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 x) x)
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 x))
(/.f64 (sin.f64 x) x)
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -1/2) (pow.f64 x -1/2)))
(*.f64 (sin.f64 x) (pow.f64 x -1))
(*.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (sin.f64 x) (*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 1 x))
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) -1)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 -1 x) (neg.f64 (sin.f64 x)))
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) 1) (/.f64 1 x))
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (cbrt.f64 (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x))
(pow.f64 (/.f64 (sin.f64 x) x) 1)
(/.f64 (sin.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)
(/.f64 (sin.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)
(/.f64 (sin.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3)
(/.f64 (sin.f64 x) x)
(pow.f64 (/.f64 x (sin.f64 x)) -1)
(/.f64 (sin.f64 x) x)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))
(/.f64 (sin.f64 x) x)
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) x))
(/.f64 (sin.f64 x) x)
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) 1))
(/.f64 (sin.f64 x) x)
(neg.f64 (*.f64 (sin.f64 x) (/.f64 -1 x)))
(/.f64 (sin.f64 x) x)
(neg.f64 (*.f64 1 (/.f64 (sin.f64 x) (neg.f64 x))))
(/.f64 (sin.f64 x) x)
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) 1))
(/.f64 (sin.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 x) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x))))
(/.f64 (sin.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))
(/.f64 (sin.f64 x) x)
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (/.f64 1 (pow.f64 x 3))))
(/.f64 (sin.f64 x) x)
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))
(/.f64 (sin.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 x) x)
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 x) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1))
(/.f64 (sin.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 x) x)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.4b
(/.f64 2 (*.f64 x x))
0.6b
(/.f64 1 (/.f64 2 (*.f64 x x)))
28.8b
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
Compiler

Compiled 30 to 15 computations (50% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite72.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1940×add-sqr-sqrt
1914×*-un-lft-identity
1800×add-cube-cbrt
1780×add-cbrt-cube
180×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0951
119849
2265349
Stop Event
node limit
Counts
3 → 90
Calls
Call 1
Inputs
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
(/.f64 1 (/.f64 2 (*.f64 x x)))
(/.f64 2 (*.f64 x x))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 (sqrt.f64 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (pow.f64 (pow.f64 x -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 -1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 2) x) -1) (pow.f64 (/.f64 (sqrt.f64 2) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) -1) (pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (pow.f64 x -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 x -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 1/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 x -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -2))))))))

simplify55.0ms (0.4%)

Algorithm
egg-herbie
Rules
1616×associate-*l/
1450×associate-/l*
1180×associate-/r*
876×unswap-sqr
802×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01881716
14791584
223861578
Stop Event
node limit
Counts
126 → 118
Calls
Call 1
Inputs
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 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(/.f64 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 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2))) 1)
(*.f64 1 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2))
(*.f64 (*.f64 (*.f64 x x) 1/2) (pow.f64 x -2))
(*.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2) 1)
(*.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 (*.f64 (sqrt.f64 1/2) x) (pow.f64 x -2)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) (/.f64 (*.f64 (sqrt.f64 1/2) x) x))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (pow.f64 x -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)) (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 x 4))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)))
(*.f64 (*.f64 1/2 (/.f64 (*.f64 x x) x)) (/.f64 1 x))
(*.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 x -2)))
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (pow.f64 x -2) (*.f64 (*.f64 x x) 1/2))
(*.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 1 (*.f64 x (neg.f64 x))))
(*.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 (*.f64 x x) x)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) 1) (/.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 x x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) 1) (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 (sqrt.f64 1/2) x) (cbrt.f64 (*.f64 x x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) x) (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)))
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x))
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 x x))))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2) 1)
(pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2) 3) 1/3)
(pow.f64 (*.f64 2 (/.f64 (*.f64 x x) (*.f64 x x))) -1)
(neg.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 x (neg.f64 x))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/2))) 1)
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(*.f64 (*.f64 x x) 1/2)
(*.f64 (*.f64 (*.f64 x x) 1/2) 1)
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(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 (*.f64 x x) 1/2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 (pow.f64 x -2) -1))
(*.f64 -1 (*.f64 -1/2 (*.f64 x x)))
(*.f64 (*.f64 1/2 x) x)
(*.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))
(*.f64 (/.f64 1 (/.f64 2 x)) x)
(*.f64 -1/2 (*.f64 x (neg.f64 x)))
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) -1) (pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) -1))
(pow.f64 (*.f64 2 (pow.f64 x -2)) -1)
(pow.f64 (*.f64 (*.f64 x x) 1/2) 1)
(pow.f64 (*.f64 (sqrt.f64 1/2) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) 1/2) 3) 1/3)
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) 1/2))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) 1/2) 3))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/2)))
(exp.f64 (log.f64 (*.f64 (*.f64 x x) 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 x -2))) -1))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) 1/2)) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2)))) 1)
(*.f64 1 (*.f64 2 (pow.f64 x -2)))
(*.f64 2 (pow.f64 x -2))
(*.f64 (*.f64 2 (pow.f64 x -2)) 1)
(*.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x))
(*.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2))))
(*.f64 (/.f64 2 x) (/.f64 1 x))
(*.f64 (pow.f64 x -2) 2)
(*.f64 -2 (/.f64 1 (*.f64 x (neg.f64 x))))
(pow.f64 (*.f64 2 (pow.f64 x -2)) 1)
(pow.f64 (*.f64 (*.f64 x x) 1/2) -1)
(pow.f64 (/.f64 (sqrt.f64 2) x) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (*.f64 2 (pow.f64 x -2)) 3) 1/3)
(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 (pow.f64 (*.f64 2 (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))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 x -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -2))))
Outputs
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 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 (/.f64 2 x) x)
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 (/.f64 2 x) x)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2))) 1)
1/2
(*.f64 1 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2))
1/2
(*.f64 (*.f64 (*.f64 x x) 1/2) (pow.f64 x -2))
1/2
(*.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2) 1)
1/2
(*.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 (*.f64 (sqrt.f64 1/2) x) (pow.f64 x -2)))
1/2
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) (/.f64 (*.f64 (sqrt.f64 1/2) x) x))
1/2
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (pow.f64 x -2)))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 (pow.f64 x -2) (cbrt.f64 (*.f64 1/2 (*.f64 x x)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 (pow.f64 x -2) (cbrt.f64 (*.f64 1/2 (*.f64 x x)))))
(*.f64 (pow.f64 x -2) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (/.f64 x (/.f64 2 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)) (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 x 4))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (/.f64 x x)) 2)) (cbrt.f64 (/.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 x 4)))))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/4))
(*.f64 (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 x 4))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (/.f64 x x)) 2)) (cbrt.f64 (/.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 x 4)))))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/4))
(*.f64 (*.f64 1/2 (/.f64 (*.f64 x x) x)) (/.f64 1 x))
1/2
(*.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 x -2)))
1/2
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 x x)))
1/2
(*.f64 (pow.f64 x -2) (*.f64 (*.f64 x x) 1/2))
1/2
(*.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 1 (*.f64 x (neg.f64 x))))
1/2
(*.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 (*.f64 x x) x)))
1/2
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (*.f64 x x))))
(/.f64 (*.f64 1 (/.f64 (*.f64 1/2 (*.f64 x x)) (cbrt.f64 (*.f64 x x)))) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x x)))
(/.f64 1/2 (*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) 1) (/.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 x x)))
1/2
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) 1) (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (*.f64 x x)))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 (pow.f64 x -2) (cbrt.f64 (*.f64 1/2 (*.f64 x x)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 (pow.f64 x -2) (cbrt.f64 (*.f64 1/2 (*.f64 x x)))))
(*.f64 (pow.f64 x -2) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (/.f64 x (/.f64 2 x)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 (sqrt.f64 1/2) x) (cbrt.f64 (*.f64 x x))))
(/.f64 (*.f64 1 (/.f64 (*.f64 1/2 (*.f64 x x)) (cbrt.f64 (*.f64 x x)))) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x x)))
(/.f64 1/2 (*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) x) (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) x))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 (pow.f64 x -2) (cbrt.f64 (*.f64 1/2 (*.f64 x x)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 (pow.f64 x -2) (cbrt.f64 (*.f64 1/2 (*.f64 x x)))))
(*.f64 (pow.f64 x -2) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (/.f64 x (/.f64 2 x)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (/.f64 x x)) 2))) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (cbrt.f64 1/2) (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (pow.f64 x 4))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 1/2)))
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x))
1/2
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 x x))))
(/.f64 (*.f64 1 (/.f64 (*.f64 1/2 (*.f64 x x)) (cbrt.f64 (*.f64 x x)))) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x x)))
(/.f64 1/2 (*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x x))))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2) 1)
1/2
(pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)
1/2
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)) 3)
1/2
(pow.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2) 3) 1/3)
1/2
(pow.f64 (*.f64 2 (/.f64 (*.f64 x x) (*.f64 x x))) -1)
1/2
(neg.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 x (neg.f64 x))))
1/2
(sqrt.f64 (/.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 x 4)))
1/2
(log.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)))
1/2
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2))))
1/2
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2) 3))
1/2
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)))
1/2
(exp.f64 (log.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)))
1/2
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)) 1))
1/2
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)))
1/2
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/2))) 1)
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(*.f64 1 (*.f64 (*.f64 x x) 1/2))
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(*.f64 (*.f64 x x) 1/2)
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(*.f64 (*.f64 (*.f64 x x) 1/2) 1)
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(*.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 (sqrt.f64 1/2) x))
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (/.f64 x (/.f64 2 x))))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 (*.f64 x x) 1/2)))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (/.f64 x (/.f64 2 x))))
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(*.f64 1/2 (pow.f64 (pow.f64 x -2) -1))
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(*.f64 -1 (*.f64 -1/2 (*.f64 x x)))
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(*.f64 (*.f64 1/2 x) x)
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(*.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))
(*.f64 1/2 (*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 1/2 (cbrt.f64 (*.f64 x x))))
(*.f64 (/.f64 1 (/.f64 2 x)) x)
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(*.f64 -1/2 (*.f64 x (neg.f64 x)))
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) x) -1) (pow.f64 (/.f64 (sqrt.f64 2) x) -1))
(pow.f64 (/.f64 (sqrt.f64 2) x) -2)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) -1) (pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 4 (pow.f64 x 4)))) (/.f64 1 (cbrt.f64 (*.f64 2 (pow.f64 x -2)))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (*.f64 2 (pow.f64 x -2)))) 1) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 (/.f64 2 x) x))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(pow.f64 (*.f64 2 (pow.f64 x -2)) -1)
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(pow.f64 (*.f64 (*.f64 x x) 1/2) 1)
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(pow.f64 (*.f64 (sqrt.f64 1/2) x) 2)
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) 3)
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) 1/2) 3) 1/3)
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 x x)))
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) 1/2))))
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) 1/2) 3))
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/2)))
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(exp.f64 (log.f64 (*.f64 (*.f64 x x) 1/2)))
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 x -2))) -1))
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) 1/2)) 1))
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 1/2)))
(*.f64 1/2 (*.f64 x x))
(/.f64 x (/.f64 2 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2)))) 1)
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 (/.f64 2 x) x)
(*.f64 1 (*.f64 2 (pow.f64 x -2)))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 (/.f64 2 x) x)
(*.f64 2 (pow.f64 x -2))
(/.f64 2 (*.f64 x x))
(/.f64 (/.f64 2 x) x)
(*.f64 (*.f64 2 (pow.f64 x -2)) 1)
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 (/.f64 2 x) x)
(*.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x))
(pow.f64 (/.f64 (sqrt.f64 2) x) 2)
(*.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (/.f64 (/.f64 2 x) x)))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (/.f64 (/.f64 2 x) x)))
(*.f64 (/.f64 2 x) (/.f64 1 x))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 (/.f64 2 x) x)
(*.f64 (pow.f64 x -2) 2)
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 (/.f64 2 x) x)
(*.f64 -2 (/.f64 1 (*.f64 x (neg.f64 x))))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 (/.f64 2 x) x)
(pow.f64 (*.f64 2 (pow.f64 x -2)) 1)
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 (/.f64 2 x) x)
(pow.f64 (*.f64 (*.f64 x x) 1/2) -1)
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 (/.f64 2 x) x)
(pow.f64 (/.f64 (sqrt.f64 2) x) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 3)
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 (/.f64 2 x) x)
(pow.f64 (pow.f64 (*.f64 2 (pow.f64 x -2)) 3) 1/3)
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 (/.f64 2 x) x)
(sqrt.f64 (/.f64 4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2)))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 (/.f64 2 x) x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -2)))))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 (/.f64 2 x) x)
(cbrt.f64 (pow.f64 (*.f64 2 (pow.f64 x -2)) 3))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 (/.f64 2 x) x)
(expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2))))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 (/.f64 2 x) x)
(exp.f64 (log.f64 (*.f64 2 (pow.f64 x -2))))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 (/.f64 2 x) x)
(exp.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 x -2))) 1))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 (/.f64 2 x) x)
(log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -2))))
(/.f64 2 (*.f64 x x))
(*.f64 2 (pow.f64 x -2))
(/.f64 (/.f64 2 x) x)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.4b
(/.f64 -1 (*.f64 x x))
2.7b
(+.f64 -1 (cos.f64 x))
16.6b
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
Compiler

Compiled 27 to 13 computations (51.9% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/.f64 -1 (*.f64 x x))
1.0ms
x
@-inf
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
1.0ms
x
@inf
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 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))

rewrite123.0ms (1%)

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
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simplify102.0ms (0.8%)

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))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.4b
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
2.7b
(-.f64 1 (cos.f64 x))
12.5b
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
Compiler

Compiled 30 to 14 computations (53.3% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite77.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1620×associate-*l/
1590×associate-/r*
1106×associate-/l*
994×*-commutative
680×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01052
121646
2296246
Stop Event
node limit
Counts
2 → 150
Calls
Call 1
Inputs
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 1 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) (/.f64 1 (pow.f64 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simplify130.0ms (1%)

Algorithm
egg-herbie
Rules
1480×associate-/r/
588×distribute-lft-neg-out
542×distribute-rgt-neg-out
540×*-commutative
480×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03895930
112175772
247655770
Stop Event
node limit
Counts
174 → 221
Calls
Call 1
Inputs
2
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(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
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(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
1/2
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(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
(*.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 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 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)))
(*.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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1))
(*.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))))
(*.f64 (pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1) (pow.f64 x -2))
(*.f64 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1) (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) -1))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) -1) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2) -1))
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 -1 (neg.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 1 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (neg.f64 (*.f64 x (neg.f64 x)))) (neg.f64 (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (*.f64 x (neg.f64 x)))) (sqrt.f64 (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 x -2) -1) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.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 -1 (neg.f64 (*.f64 x (neg.f64 x)))) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 (+.f64 1 (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 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) 1) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 x)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 x (neg.f64 x)))) (cbrt.f64 (+.f64 -1 (cos.f64 x))))
(pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1)
(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)
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -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))
(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))))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (*.f64 (log.f64 x) 2)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
Outputs
2
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2)
(fma.f64 1/6 (*.f64 x x) 2)
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (*.f64 1/120 (pow.f64 x 4))))
(+.f64 (fma.f64 1/6 (*.f64 x x) 2) (*.f64 1/120 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (fma.f64 1/120 (pow.f64 x 4) 2))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 1/3024 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 (fma.f64 1/6 (*.f64 x x) 2) (fma.f64 1/3024 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 (fma.f64 1/6 (*.f64 x x) 2) (fma.f64 1/120 (pow.f64 x 4) (*.f64 1/3024 (pow.f64 x 6))))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 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 (pow.f64 x 4) 1/720)))
(+.f64 1/2 (fma.f64 (pow.f64 x 4) 1/720 (*.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 (pow.f64 x 4) 1/720))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 (pow.f64 x 4) 1/720 (*.f64 (pow.f64 x 6) -1/40320))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 (pow.f64 x 4) 1/720 (*.f64 (pow.f64 x 6) -1/40320)))
(/.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 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) 1)
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 1)
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(/.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2) (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))))
(*.f64 (+.f64 1 (cos.f64 x)) (/.f64 x (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) x)))
(*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) x))
(*.f64 (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) x)
(*.f64 (+.f64 1 (cos.f64 x)) (/.f64 x (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 x))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (/.f64 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x)))
(*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) x))
(*.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (*.f64 x (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 -1 (cos.f64 x))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 x (/.f64 1 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x 1))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 x (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) x)) (+.f64 1 (cos.f64 x)))
(*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) x))
(*.f64 (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) x)
(*.f64 (+.f64 1 (cos.f64 x)) (/.f64 x (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 x))))
(*.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))
(*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) x))
(*.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (*.f64 x (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))))
(*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) x))
(*.f64 (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) x)
(*.f64 (+.f64 1 (cos.f64 x)) (/.f64 x (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 x))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 x x) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))
(*.f64 (+.f64 1 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) x))
(*.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (*.f64 x (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(*.f64 (/.f64 1 (+.f64 -1 (cos.f64 x))) (*.f64 x (neg.f64 x)))
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(pow.f64 (*.f64 x (/.f64 x (-.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))
(pow.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))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.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)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -2))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(log.f64 (exp.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))
(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))
(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))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (*.f64 (log.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))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.4b
(/.f64 (cos.f64 x) (*.f64 x x))
18.7b
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
Compiler

Compiled 27 to 10 computations (63% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite124.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1582×associate-*r/
1176×associate-/r*
1026×associate-*l/
996×*-commutative
952×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01046
122246
2311246
Stop Event
node limit
Counts
2 → 146
Calls
Call 1
Inputs
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (cos.f64 x) (*.f64 x x))
Outputs
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simplify188.0ms (1.5%)

Algorithm
egg-herbie
Rules
1268×associate-+r+
1264×associate-+l+
798×+-commutative
772×associate-/r/
488×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038610308
110969180
250679006
Stop Event
node limit
Counts
170 → 253
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 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) 1/2)
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) 1/2)
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (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 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x)))))
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(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))))
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))))
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (cos.f64 x))))
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
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(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(+.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x)))))
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(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x -6) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))) 2)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))) 2)) (cbrt.f64 (+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x -4) (pow.f64 x -4)) (/.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6)) (*.f64 (/.f64 x (cos.f64 x)) x))) (/.f64 1 (+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))))) (+.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x -4) 3) (pow.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) 3)) (/.f64 1 (+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))))) (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 x -4)) (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6)) (*.f64 (/.f64 x (cos.f64 x)) x)) (*.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x -6) (pow.f64 x -6)) (*.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6)) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6)))) (/.f64 1 (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4))))) (+.f64 (pow.f64 x -6) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x -6) 3) (pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4))))) (+.f64 (*.f64 (pow.f64 x -6) (pow.f64 x -6)) (+.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6)) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6))) (*.f64 (pow.f64 x -6) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) 1) (+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (sqrt.f64 (+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))))) (sqrt.f64 (+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))) (cbrt.f64 (+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -6) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6))) 1) (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -6) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -6) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6))) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4)))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (pow.f64 x -4) (cos.f64 x)) (pow.f64 x -4)))))
(pow.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) 1)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(fma.f64 1 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(fma.f64 (/.f64 1 x) (/.f64 1 x) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(fma.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) 1)
(*.f64 (pow.f64 x -2) (cos.f64 x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) 1)
(*.f64 1 (*.f64 (pow.f64 x -2) (cos.f64 x)))
(*.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) (/.f64 (sqrt.f64 (cos.f64 x)) x))
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) x) (/.f64 1 x))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 -1 (*.f64 x x)))
(*.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) 1))
(*.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4))))
(*.f64 (/.f64 -1 (*.f64 x x)) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) x) (/.f64 (cbrt.f64 (cos.f64 x)) x))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 x x)) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(pow.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) 1)
(pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 3)
(pow.f64 (*.f64 (/.f64 x (cos.f64 x)) x) -1)
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6)) 1/3)
(neg.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))
(sqrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (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 (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)) (*.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 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 x) x)
(-.f64 (/.f64 1 (pow.f64 x 2)) 1/2)
(+.f64 (/.f64 1 (*.f64 x x)) -1/2)
(+.f64 (/.f64 (/.f64 1 x) x) -1/2)
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) 1/2)
(+.f64 (fma.f64 1/24 (*.f64 x x) (/.f64 1 (*.f64 x x))) -1/2)
(+.f64 (fma.f64 (*.f64 x x) 1/24 (/.f64 (/.f64 1 x) x)) -1/2)
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) 1/2)
(+.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 1/24 (*.f64 x x) (/.f64 1 (*.f64 x x)))) -1/2)
(+.f64 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 (*.f64 x x) 1/24 (/.f64 (/.f64 1 x) x))) -1/2)
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2))
(*.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))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))) (*.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))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))) (*.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))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
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(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2))) (*.f64 (cos.f64 x) (pow.f64 x -2))) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2)))
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(/.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) x) (/.f64 (cbrt.f64 (cos.f64 x)) x))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) x))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 x x)) (cbrt.f64 (cos.f64 x)))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(pow.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) 1)
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2)
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 3)
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(pow.f64 (*.f64 (/.f64 x (cos.f64 x)) x) -1)
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x -6) (pow.f64 (cos.f64 x) 3)))
(neg.f64 (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x (neg.f64 x)))
(sqrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (cos.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (pow.f64 x -2)))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x -6)))
(cbrt.f64 (*.f64 (pow.f64 x -6) (pow.f64 (cos.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))

eval955.0ms (7.6%)

Compiler

Compiled 32767 to 19237 computations (41.3% saved)

prune417.0ms (3.3%)

Pruning

22 alts after pruning (16 fresh and 6 done)

PrunedKeptTotal
New1563111574
Fresh5510
Picked011
Done257
Total1570221592
Error
0b
Counts
1592 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
33.3b
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
44.8b
(/.f64 (/.f64 x (/.f64 2 x)) (*.f64 x x))
45.6b
(/.f64 (/.f64 1 (/.f64 (/.f64 2 x) x)) (*.f64 x x))
45.5b
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
31.7b
(/.f64 (/.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6))) (*.f64 x x))
30.3b
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
34.1b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
44.7b
(/.f64 (*.f64 (/.f64 1 (/.f64 2 x)) x) (*.f64 x x))
0.1b
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) x)
0.1b
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (neg.f64 x))
0.4b
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x))
33.6b
(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))
34.1b
(/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)))
34.0b
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
29.3b
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
33.3b
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
0.2b
(*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))
28.4b
(*.f64 (/.f64 1 x) (*.f64 1/2 x))
44.4b
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x))
34.1b
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
45.6b
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
28.4b
1/2
Compiler

Compiled 425 to 286 computations (32.7% saved)

localize24.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 50 to 31 computations (38% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite426.0ms (3.4%)

Algorithm
batch-egg-rewrite
Rules
1148×associate-/r/
846×swap-sqr
598×associate-/l/
504×distribute-lft-neg-in
416×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01389
127977
2403377
Stop Event
node limit
Counts
3 → 225
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 x 1/2)) x)
(*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (neg.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (tan.f64 (*.f64 x 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (tan.f64 (*.f64 x 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (tan.f64 (*.f64 x 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (neg.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (neg.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 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simplify409.0ms (3.3%)

Algorithm
egg-herbie
Rules
840×associate-/l*
744×associate-+r+
736×*-commutative
734×associate-*r*
722×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05239815
115599159
264739159
Stop Event
node limit
Counts
261 → 338
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 1/240 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (+.f64 (*.f64 17/40320 (pow.f64 x 6)) (*.f64 1/240 (pow.f64 x 4)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/720 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/40320 (pow.f64 x 7)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/720 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
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(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2) (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))))
(*.f64 -1 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))
(*.f64 (/.f64 1 x) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2))))))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 x) x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) (sqrt.f64 x))))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))
(*.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 1 x)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (cbrt.f64 x) x)))
(*.f64 (/.f64 (sin.f64 x) -1) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (pow.f64 (cbrt.f64 x) 2) x)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (pow.f64 (cbrt.f64 x) 2) x)) (neg.f64 (/.f64 (sin.f64 x) (cbrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) 1) (/.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) x))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) 1) (neg.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) -1) (/.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) x))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) -1) (neg.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) x) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) 2) 1) (neg.f64 (/.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) 2) (sqrt.f64 x)) (neg.f64 (/.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) 2) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) 2) -1) (/.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) 2) -1) (neg.f64 (/.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) x)))
(*.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2))))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2))))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) (+.f64 (*.f64 x x) 0)) x)
(*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) (+.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0))
(*.f64 (/.f64 1 (/.f64 x (sin.f64 x))) (/.f64 (tan.f64 (*.f64 x 1/2)) x))
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))))) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) 2))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) 2) x) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 x (/.f64 x (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 -1 (/.f64 x (sin.f64 x))) (/.f64 (tan.f64 (*.f64 x 1/2)) x))
(*.f64 (/.f64 -1 (/.f64 x (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))))) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 -1 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) 2))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) 1) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (cbrt.f64 x) x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) -1) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))
(*.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))
(*.f64 (neg.f64 (/.f64 1 (sqrt.f64 x))) (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2))))))
(*.f64 (neg.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2))))))
(*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x))
(*.f64 (neg.f64 (/.f64 (sin.f64 x) 1)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (sqrt.f64 x))) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 x) x)))
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (cbrt.f64 x) x)))
(*.f64 (neg.f64 (/.f64 (sin.f64 x) -1)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) 1)) (/.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) x))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 x)))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) -1)) (/.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) x))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) 2) 1)) (/.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) x))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 x)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) 2) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) 2) -1)) (/.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) x))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 3) 1/3)
(pow.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 x (sin.f64 x))) -1)
(neg.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 2))
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.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 1/240 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/24 (*.f64 x x) (*.f64 1/240 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/240 (pow.f64 x 4) (*.f64 1/24 (*.f64 x x))))
(+.f64 1/2 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (+.f64 (*.f64 17/40320 (pow.f64 x 6)) (*.f64 1/240 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 1/24 (*.f64 x x) (fma.f64 17/40320 (pow.f64 x 6) (*.f64 1/240 (pow.f64 x 4)))))
(+.f64 (fma.f64 1/24 (*.f64 x x) 1/2) (fma.f64 1/240 (pow.f64 x 4) (*.f64 17/40320 (pow.f64 x 6))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) x) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) x) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) x) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) x) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) x) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) x) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) x) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) x) (cos.f64 (*.f64 1/2 x)))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (*.f64 -1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(fma.f64 -1/2 x (*.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/24 (pow.f64 x 3) (*.f64 x -1/2))
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(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))) (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x))) 2)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) 2) -1)) (/.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) x))
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 1)
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2)
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 3)
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 3) 1/3)
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(pow.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 x (sin.f64 x))) -1)
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(neg.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))
(*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) (/.f64 (neg.f64 (sin.f64 x)) x))
(*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 2))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))) 2))
(fabs.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))))
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))))
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 3))
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) x)) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) x)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 1))
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))

localize120.0ms (1%)

Local error

Found 1 expressions with local error:

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

Compiled 17 to 12 computations (29.4% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite230.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
1504×add-sqr-sqrt
1482×*-un-lft-identity
1386×add-cube-cbrt
1368×add-cbrt-cube
1352×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
116213
2190413
Stop Event
node limit
Counts
1 → 24
Calls
Call 1
Inputs
(*.f64 (/.f64 1 x) (*.f64 1/2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x 1/2)) (/.f64 x (sqrt.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (/.f64 x (cbrt.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 1/2) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 x 1/2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 1/2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 1/2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/2 x))))))))

simplify54.0ms (0.4%)

Algorithm
egg-herbie
Rules
1438×associate-/r*
1080×associate-*r*
890×associate-*l*
882×distribute-lft-in
592×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06974
117874
236974
3102974
4568874
Stop Event
node limit
Counts
36 → 28
Calls
Call 1
Inputs
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 (+.f64 1 (*.f64 x (/.f64 1/2 x))) 1)
(/.f64 1 (/.f64 x (*.f64 x 1/2)))
(/.f64 x (/.f64 x 1/2))
(/.f64 1/2 (/.f64 x x))
(/.f64 (*.f64 x 1/2) x)
(/.f64 (sqrt.f64 (*.f64 x 1/2)) (/.f64 x (sqrt.f64 (*.f64 x 1/2))))
(/.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (/.f64 x (cbrt.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (*.f64 x 1/2) -1) (neg.f64 x))
(/.f64 (*.f64 -1 (*.f64 x 1/2)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 x 1/2) 1) x)
(/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (neg.f64 (*.f64 x 1/2)) (neg.f64 x))
(pow.f64 (*.f64 x (/.f64 1/2 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 x)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 1/2 x)) x))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 x))))
(exp.f64 (log.f64 (*.f64 x (/.f64 1/2 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 1/2 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/2 x))))
Outputs
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 (+.f64 1 (*.f64 x (/.f64 1/2 x))) 1)
1/2
(/.f64 1 (/.f64 x (*.f64 x 1/2)))
1/2
(/.f64 x (/.f64 x 1/2))
1/2
(/.f64 1/2 (/.f64 x x))
1/2
(/.f64 (*.f64 x 1/2) x)
1/2
(/.f64 (sqrt.f64 (*.f64 x 1/2)) (/.f64 x (sqrt.f64 (*.f64 x 1/2))))
1/2
(/.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (/.f64 x (cbrt.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) x) (cbrt.f64 (*.f64 x 1/2)))
(*.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4))) x))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4))) (/.f64 (cbrt.f64 (*.f64 x 1/2)) x))
(/.f64 (*.f64 (*.f64 x 1/2) -1) (neg.f64 x))
1/2
(/.f64 (*.f64 -1 (*.f64 x 1/2)) (neg.f64 x))
1/2
(/.f64 (/.f64 (*.f64 x 1/2) 1) x)
1/2
(/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x))
1/2
(/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
1/2
(/.f64 (neg.f64 (*.f64 x 1/2)) (neg.f64 x))
1/2
(pow.f64 (*.f64 x (/.f64 1/2 x)) 1)
1/2
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 x))) 2)
1/2
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 x))) 3)
1/2
(pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 x)) 3) 1/3)
1/2
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 x)) 2))
1/2
(log.f64 (pow.f64 (exp.f64 (/.f64 1/2 x)) x))
1/2
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 x)) 3))
1/2
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 x))))
1/2
(exp.f64 (log.f64 (*.f64 x (/.f64 1/2 x))))
1/2
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 1/2 x))) 1))
1/2
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/2 x))))
1/2

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.4b
(/.f64 -1 (*.f64 x x))
29.7b
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
Compiler

Compiled 31 to 17 computations (45.2% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite91.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1014×*-commutative
1002×associate-*r/
820×associate-*l/
762×unswap-sqr
692×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01031
121129
2260025
Stop Event
node limit
Counts
1 → 110
Calls
Call 1
Inputs
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 x (/.f64 x (/.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 x (neg.f64 x)) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (/.f64 (*.f64 x (neg.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (*.f64 x (/.f64 x (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/2) (/.f64 (*.f64 x (neg.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (/.f64 (*.f64 (*.f64 x x) 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x -1/2)) (/.f64 (*.f64 x (neg.f64 x)) 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simplify164.0ms (1.3%)

Algorithm
egg-herbie
Rules
1124×associate-/l*
712×times-frac
674×associate-+r-
634×associate-+l-
530×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02981888
18801812
249391750
372231750
Stop Event
node limit
Counts
122 → 153
Calls
Call 1
Inputs
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 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))))) 1)
(/.f64 -1 (/.f64 x (/.f64 x (/.f64 x (*.f64 x -1/2)))))
(/.f64 x (/.f64 (*.f64 x (neg.f64 x)) (*.f64 x -1/2)))
(/.f64 (*.f64 x x) (/.f64 (*.f64 x (neg.f64 x)) -1/2))
(/.f64 -1/2 (*.f64 x (/.f64 x (*.f64 x (neg.f64 x)))))
(/.f64 (*.f64 x -1/2) (/.f64 (*.f64 x (neg.f64 x)) x))
(/.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))) 1)
(/.f64 1 (/.f64 x (/.f64 (*.f64 (*.f64 x x) 1/2) x)))
(/.f64 (sqrt.f64 (*.f64 x -1/2)) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 x (sqrt.f64 (*.f64 x -1/2)))))
(/.f64 (*.f64 x (sqrt.f64 -1/2)) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 x (sqrt.f64 -1/2))))
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 (*.f64 x -1/2) (sqrt.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 x (cbrt.f64 (*.f64 x -1/2)))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 (*.f64 x -1/2) (cbrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 (*.f64 x (*.f64 x -1/2)))))
(/.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 x x))
(/.f64 (/.f64 -1 x) (/.f64 x (*.f64 x (*.f64 x -1/2))))
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) -1/2))
(/.f64 (sqrt.f64 (*.f64 (*.f64 x x) 1/2)) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 (*.f64 x x) 1/2))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (cbrt.f64 (*.f64 (*.f64 x x) 1/2))) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 (*.f64 x x) 1/2))))
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2)) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 (*.f64 x -1/2))))
(/.f64 (*.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 x)))
(/.f64 (*.f64 -1 (*.f64 x -1/2)) (/.f64 (*.f64 x x) x))
(/.f64 (*.f64 -1 (*.f64 x (sqrt.f64 -1/2))) (/.f64 (*.f64 x x) (*.f64 x (sqrt.f64 -1/2))))
(/.f64 (*.f64 -1 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 x (*.f64 x -1/2)))))
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (*.f64 x (neg.f64 x))))
(/.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 x)))
(/.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/2))) (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (*.f64 x -1/2))))
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (pow.f64 x -2)) -1)
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x)))
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) x)
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (neg.f64 x) (/.f64 (*.f64 x x) (*.f64 x -1/2)))
(/.f64 (/.f64 x (/.f64 x (*.f64 x -1/2))) (neg.f64 x))
(/.f64 (*.f64 (*.f64 x -1/2) (/.f64 x (neg.f64 x))) x)
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 -1 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 -1 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 x))
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) x)) (cbrt.f64 x))
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 1 x)) (neg.f64 x))
(/.f64 (*.f64 1 (/.f64 (*.f64 (*.f64 x x) 1/2) x)) x)
(/.f64 (*.f64 1 (/.f64 (*.f64 x (neg.f64 x)) -2)) (*.f64 x x))
(/.f64 (*.f64 1 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 x x) 1/2)) x) (sqrt.f64 (*.f64 (*.f64 x x) 1/2))) x)
(/.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 4))) (cbrt.f64 (*.f64 (*.f64 x x) 1/2))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (/.f64 1 x)) x)
(/.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (/.f64 1 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x)) 1) (sqrt.f64 (*.f64 x (neg.f64 x))))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) x)
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (/.f64 -1 x))) (sqrt.f64 x))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) -1) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) 1) (cbrt.f64 (*.f64 x (neg.f64 x))))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (cbrt.f64 (/.f64 -1 x))) (cbrt.f64 x))
(/.f64 (*.f64 (/.f64 -1 (cbrt.f64 (pow.f64 x 4))) (*.f64 x (*.f64 x -1/2))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 (/.f64 1 x) (*.f64 x (*.f64 x -1/2))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 -1 (*.f64 x (sqrt.f64 x))) (*.f64 x (*.f64 x -1/2))) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) x) (*.f64 x (*.f64 x -1/2))) (cbrt.f64 x))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) 1) x)
(/.f64 (*.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) 1) (*.f64 x x))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) 1) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 1 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x))) (sqrt.f64 (*.f64 x (neg.f64 x))))
(/.f64 (*.f64 (sqrt.f64 -1) (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x))) x)
(/.f64 (*.f64 (sqrt.f64 (/.f64 -1 x)) (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x))) (sqrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) 1/2)) (/.f64 (sqrt.f64 (*.f64 (*.f64 x x) 1/2)) x)) x)
(/.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 (/.f64 x (neg.f64 x)) (*.f64 x -1/2)) x)
(/.f64 (*.f64 -1 (/.f64 x (/.f64 x (*.f64 x -1/2)))) x)
(/.f64 (*.f64 1 (/.f64 x (/.f64 x (*.f64 x -1/2)))) (neg.f64 x))
(/.f64 (*.f64 1 (/.f64 x (/.f64 x (*.f64 x -1/2)))) (/.f64 x -1))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (/.f64 x (/.f64 x (*.f64 x -1/2)))) (cbrt.f64 x))
(/.f64 (*.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 x (/.f64 x (*.f64 x -1/2)))) (sqrt.f64 x))
(/.f64 (*.f64 -1 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x -1/2)))) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) 1) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) (cbrt.f64 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) (*.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 x (*.f64 x -1/2)) (neg.f64 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) (sqrt.f64 (cbrt.f64 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) 1) (*.f64 x x))
(/.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) 1) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) (*.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 (*.f64 x x) (/.f64 1/2 (*.f64 x x))) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 x x) 1/2)) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))) 3) 1/3)
(neg.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (pow.f64 x -2)))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 4)))
(log.f64 (exp.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 (neg.f64 (pow.f64 x -2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x)))))
(exp.f64 (log.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x)))))
Outputs
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 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))))) 1)
1/2
(/.f64 -1 (/.f64 x (/.f64 x (/.f64 x (*.f64 x -1/2)))))
1/2
(/.f64 x (/.f64 (*.f64 x (neg.f64 x)) (*.f64 x -1/2)))
1/2
(/.f64 (*.f64 x x) (/.f64 (*.f64 x (neg.f64 x)) -1/2))
1/2
(/.f64 -1/2 (*.f64 x (/.f64 x (*.f64 x (neg.f64 x)))))
(/.f64 (/.f64 -1/2 x) (/.f64 x (*.f64 x (neg.f64 x))))
(/.f64 -1/2 (/.f64 x (neg.f64 x)))
(*.f64 (/.f64 -1/2 x) (neg.f64 x))
(/.f64 (*.f64 x -1/2) (/.f64 (*.f64 x (neg.f64 x)) x))
1/2
(/.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (neg.f64 x)))
1/2
(/.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))) 1)
1/2
(/.f64 1 (/.f64 x (/.f64 (*.f64 (*.f64 x x) 1/2) x)))
1/2
(/.f64 (sqrt.f64 (*.f64 x -1/2)) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 x (sqrt.f64 (*.f64 x -1/2)))))
1/2
(/.f64 (*.f64 x (sqrt.f64 -1/2)) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 x (sqrt.f64 -1/2))))
1/2
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 (*.f64 x -1/2) (sqrt.f64 x))))
1/2
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 x (cbrt.f64 (*.f64 x -1/2)))))
1/2
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 (*.f64 x -1/2) (cbrt.f64 x))))
1/2
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (*.f64 x (neg.f64 x)) (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 x (neg.f64 x))) (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 x 1/2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) x) (*.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 x) 2) x)))
(/.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)))
(/.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (*.f64 (/.f64 x (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (neg.f64 x)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 (*.f64 x (*.f64 x -1/2)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (*.f64 x -1/2))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (*.f64 x (neg.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (/.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) x) (neg.f64 x)))
(/.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 x x))
1/2
(/.f64 (/.f64 -1 x) (/.f64 x (*.f64 x (*.f64 x -1/2))))
1/2
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) -1/2))
1/2
(/.f64 (sqrt.f64 (*.f64 (*.f64 x x) 1/2)) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 (*.f64 x x) 1/2))))
1/2
(/.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (cbrt.f64 (*.f64 (*.f64 x x) 1/2))) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 (*.f64 x x) 1/2))))
1/2
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2)) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 (*.f64 x -1/2))))
1/2
(/.f64 (*.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 x)))
1/2
(/.f64 (*.f64 -1 (*.f64 x -1/2)) (/.f64 (*.f64 x x) x))
1/2
(/.f64 (*.f64 -1 (*.f64 x (sqrt.f64 -1/2))) (/.f64 (*.f64 x x) (*.f64 x (sqrt.f64 -1/2))))
1/2
(/.f64 (*.f64 -1 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 x (*.f64 x -1/2)))))
(*.f64 (/.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (*.f64 x x)) (cbrt.f64 (*.f64 x (*.f64 x -1/2))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (/.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4))) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 (*.f64 x (neg.f64 x))))
(/.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (/.f64 (sqrt.f64 -1) x)))
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) x))
(/.f64 x (/.f64 (/.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (/.f64 (sqrt.f64 -1) x)) (*.f64 x -1/2)))
(/.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 x)))
1/2
(/.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/2))) (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (*.f64 x -1/2))))
1/2
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (pow.f64 x -2)) -1)
1/2
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2))
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x)))
1/2
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) x) x)
1/2
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) -2) (*.f64 x x))
1/2
(/.f64 (/.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2))
(/.f64 (neg.f64 x) (/.f64 (*.f64 x x) (*.f64 x -1/2)))
1/2
(/.f64 (/.f64 x (/.f64 x (*.f64 x -1/2))) (neg.f64 x))
1/2
(/.f64 (*.f64 (*.f64 x -1/2) (/.f64 x (neg.f64 x))) x)
1/2
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 -1 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2))
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(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x)))) 3)
1/2
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))) 3) 1/3)
1/2
(neg.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (pow.f64 x -2)))
1/2
(sqrt.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 x 4)))
1/2
(log.f64 (exp.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x)))))
1/2
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))))))
1/2
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x))) 3))
1/2
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 (neg.f64 (pow.f64 x -2)) 3)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/8) (pow.f64 (neg.f64 (pow.f64 x -2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x -2) 3) (*.f64 1/8 (pow.f64 x 6))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x)))))
1/2
(exp.f64 (log.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x)))))
1/2
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (/.f64 1/2 (*.f64 x x)))))
1/2

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
0.4b
(/.f64 2 (*.f64 x x))
0.5b
(/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))
15.8b
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
Compiler

Compiled 42 to 24 computations (42.9% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite275.0ms (2.2%)

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
01181
124763
2329963
Stop Event
node limit
Counts
3 → 211
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 1/6 (/.f64 2 (*.f64 x x)))
Outputs
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simplify172.0ms (1.4%)

Algorithm
egg-herbie
Rules
882×associate-*r*
752×associate-*l*
664×+-commutative
656×*-commutative
612×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055010243
116059487
274229487
Stop Event
node limit
Counts
247 → 348
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 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))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6))) 2) (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6))))
(*.f64 (cbrt.f64 (pow.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))) (pow.f64 x -2)))
(*.f64 (/.f64 1 (*.f64 x (fma.f64 2 (pow.f64 x -2) 1/6))) (/.f64 1 x))
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(*.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 (*.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 6 (*.f64 x x)) (-.f64 (/.f64 864 (pow.f64 x 6)) (+.f64 (/.f64 72 (pow.f64 x 4)) (/.f64 10368 (pow.f64 x 8)))))
(-.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 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 (*.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 6 (*.f64 x x)) (-.f64 (/.f64 864 (pow.f64 x 6)) (+.f64 (/.f64 72 (pow.f64 x 4)) (/.f64 10368 (pow.f64 x 8)))))
(-.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 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 1/288 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))))
(fma.f64 1/288 (pow.f64 x 6) (fma.f64 1/2 (*.f64 x x) (*.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)))))
(fma.f64 1/288 (pow.f64 x 6) (fma.f64 -1/3456 (pow.f64 x 8) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))))
6
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 6 (/.f64 72 (*.f64 x x)))
(+.f64 6 (/.f64 -72 (*.f64 x x)))
(-.f64 (+.f64 6 (*.f64 864 (/.f64 1 (pow.f64 x 4)))) (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(+.f64 6 (-.f64 (/.f64 864 (pow.f64 x 4)) (/.f64 72 (*.f64 x x))))
(+.f64 6 (+.f64 (/.f64 864 (pow.f64 x 4)) (/.f64 -72 (*.f64 x x))))
(-.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 6 (-.f64 (/.f64 864 (pow.f64 x 4)) (+.f64 (/.f64 72 (*.f64 x x)) (/.f64 10368 (pow.f64 x 6)))))
(+.f64 6 (-.f64 (-.f64 (/.f64 864 (pow.f64 x 4)) (/.f64 10368 (pow.f64 x 6))) (/.f64 72 (*.f64 x x))))
6
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2))))
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(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 (pow.f64 (pow.f64 x -2) 3) -8)) (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)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(fma.f64 2 (pow.f64 x -2) 1/6)
(cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3))
(fma.f64 2 (pow.f64 x -2) 1/6)
(expm1.f64 (log1p.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(exp.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(log1p.f64 (expm1.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(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 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)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
0.1b
(/.f64 x (-.f64 1 (cos.f64 x)))
0.4b
(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))
2.7b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 33 to 18 computations (45.5% saved)

series2.0ms (0%)

Counts
3 → 28
Calls

9 calls:

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

rewrite115.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1564×associate-/r*
1112×associate-/l*
1000×*-commutative
612×associate-/r/
396×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01069
121563
2289663
Stop Event
node limit
Counts
3 → 265
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x (neg.f64 x))) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) -1) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (/.f64 x 1)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 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)) (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) 1) (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (cos.f64 x)) (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((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))) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (/.f64 x (*.f64 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simplify170.0ms (1.4%)

Algorithm
egg-herbie
Rules
884×associate-/l*
816×associate-/l/
696×*-commutative
656×associate-*r*
650×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
065110213
118379661
275389661
Stop Event
node limit
Counts
293 → 373
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 2 x)
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 1/3024 (pow.f64 x 5)))))
2
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2)
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (*.f64 1/120 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 1/3024 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
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(/.f64 (sqrt.f64 x) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))))
(/.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 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) (/.f64 (/.f64 1 x) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2) (/.f64 1 (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))))
(/.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 2)))
(/.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (cbrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 2) (/.f64 -1 (neg.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 1 x) (*.f64 (cbrt.f64 x) (/.f64 -1 (+.f64 (cos.f64 x) -1)))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (cbrt.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (/.f64 1 (*.f64 x x)))
(/.f64 -1 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x)))
(/.f64 -1 (*.f64 (/.f64 1 x) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) (-.f64 1 (cos.f64 x))) -1)
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (neg.f64 x) (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) x))
(/.f64 (neg.f64 x) (/.f64 (/.f64 1 x) (/.f64 1 (+.f64 (cos.f64 x) -1))))
(/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))))
(/.f64 (sqrt.f64 (/.f64 (*.f64 x (neg.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 -1 (sqrt.f64 (/.f64 (*.f64 x (neg.f64 x)) (-.f64 1 (cos.f64 x))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 2)) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 2)) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 2))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 x (neg.f64 x)) (-.f64 1 (cos.f64 x)))) (cbrt.f64 (/.f64 (*.f64 x (neg.f64 x)) (-.f64 1 (cos.f64 x))))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 2))) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 2))))
(/.f64 (*.f64 x (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)))
(/.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)))
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)))
(/.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(/.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(/.f64 (/.f64 x 1) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (*.f64 (/.f64 1 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (/.f64 1 x) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 x (/.f64 1 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (/.f64 1 x) (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (/.f64 1 x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 x (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 -1 x))
(/.f64 (neg.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 2)) (/.f64 -1 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(/.f64 (*.f64 x (neg.f64 x)) (+.f64 (cos.f64 x) -1))
(/.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))))
(/.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (/.f64 1 x) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (/.f64 1 x) (/.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 (/.f64 1 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)) (/.f64 (/.f64 1 x) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) 1) (+.f64 (cos.f64 x) -1))
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(/.f64 (/.f64 (*.f64 x x) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (cbrt.f64 (pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -2))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (/.f64 1 (pow.f64 x -1)) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (/.f64 1 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1)) (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 2) -1)) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) -1))
(/.f64 (/.f64 x (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (/.f64 x (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (/.f64 x (/.f64 -1 x)) (+.f64 (cos.f64 x) -1))
(/.f64 (/.f64 x (/.f64 1 (sqrt.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))
(/.f64 (/.f64 x (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)))
(/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)))
(/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)))
(/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)))
(/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -2)))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 2) 1) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 2) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -2)))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 2) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))
(/.f64 (/.f64 (/.f64 x (/.f64 1 x)) 1) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (/.f64 x (/.f64 1 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) 1) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) 1) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) -1) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (+.f64 (cos.f64 x) -1))) (sqrt.f64 (+.f64 (cos.f64 x) -1)))
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (cbrt.f64 (+.f64 (cos.f64 x) -1)))) (cbrt.f64 (+.f64 (cos.f64 x) -1)))
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) 1)
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 3)
(pow.f64 (pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) 3) 1/3)
(neg.f64 (/.f64 (*.f64 x (neg.f64 x)) (-.f64 1 (cos.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
(exp.f64 (log.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 (-.f64 1 (cos.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 -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 (-.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))
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(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 x (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)))
(/.f64 (/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 x x) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) -1) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (+.f64 (cos.f64 x) -1))) (sqrt.f64 (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (cbrt.f64 (+.f64 (cos.f64 x) -1)))) (cbrt.f64 (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2)
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) 1)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2)
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 3)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(pow.f64 (pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) 3) 1/3)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(neg.f64 (/.f64 (*.f64 x (neg.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 2))
(fabs.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) 3))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3) (pow.f64 x 3)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(exp.f64 (log.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))

eval694.0ms (5.6%)

Compiler

Compiled 28852 to 19086 computations (33.8% saved)

prune371.0ms (3%)

Pruning

21 alts after pruning (15 fresh and 6 done)

PrunedKeptTotal
New1421101431
Fresh6511
Picked011
Done5510
Total1432211453
Error
0b
Counts
1453 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
33.3b
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
31.7b
(/.f64 (/.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6))) (*.f64 x x))
47.9b
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))
34.1b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
0.1b
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) x)
0.1b
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (neg.f64 x))
44.2b
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) -1/2))
0.4b
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x))
47.0b
(/.f64 6 (*.f64 x x))
34.1b
(/.f64 1 (/.f64 (/.f64 x (/.f64 1 x)) (-.f64 1 (cos.f64 x))))
34.1b
(/.f64 1 (/.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (/.f64 1 (*.f64 x x))))
33.6b
(/.f64 1 (/.f64 (neg.f64 x) (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x))))))
33.6b
(/.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
33.6b
(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))
13.6b
(/.f64 1 (*.f64 (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))) x))
33.6b
(/.f64 1 (*.f64 (*.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) x) x))
34.0b
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
34.0b
(+.f64 (*.f64 (/.f64 1 (*.f64 x x)) (neg.f64 (cos.f64 x))) (*.f64 (/.f64 1 (*.f64 x x)) 1))
29.3b
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
34.1b
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
28.4b
1/2
Compiler

Compiled 245 to 172 computations (29.8% saved)

regimes43.0ms (0.3%)

Counts
50 → 1
Calls
Call 1
Inputs
1/2
(/.f64 6 (*.f64 x x))
(*.f64 (/.f64 1 x) (*.f64 1/2 x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x))
(/.f64 (/.f64 x (/.f64 2 x)) (*.f64 x x))
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) -1/2))
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(/.f64 (*.f64 (/.f64 1 (/.f64 2 x)) x) (*.f64 x x))
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 1 (/.f64 (/.f64 2 x) x)) (*.f64 x x))
(/.f64 1 (*.f64 (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 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 (cos.f64 x)) 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 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))
(/.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 1 (*.f64 (*.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) x) x))
(/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)))
(/.f64 1 (/.f64 (/.f64 x (/.f64 1 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
(/.f64 1 (/.f64 (neg.f64 x) (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 1 (/.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (/.f64 1 (*.f64 x x))))
(+.f64 (*.f64 (/.f64 1 (*.f64 x x)) (neg.f64 (cos.f64 x))) (*.f64 (/.f64 1 (*.f64 x x)) 1))
(/.f64 (/.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(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 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) x)
(*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (neg.f64 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 (log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3)) (*.f64 x x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x x))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (fabs.f64 (sin.f64 x)))) (*.f64 x x))
Outputs
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (neg.f64 x))
Calls

2 calls:

24.0ms
x
7.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 564 to 307 computations (45.6% saved)

regimes34.0ms (0.3%)

Counts
41 → 1
Calls
Call 1
Inputs
1/2
(/.f64 6 (*.f64 x x))
(*.f64 (/.f64 1 x) (*.f64 1/2 x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x))
(/.f64 (/.f64 x (/.f64 2 x)) (*.f64 x x))
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) -1/2))
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(/.f64 (*.f64 (/.f64 1 (/.f64 2 x)) x) (*.f64 x x))
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 1 (/.f64 (/.f64 2 x) x)) (*.f64 x x))
(/.f64 1 (*.f64 (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 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 (cos.f64 x)) 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 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))
(/.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 1 (*.f64 (*.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) x) x))
(/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)))
(/.f64 1 (/.f64 (/.f64 x (/.f64 1 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
(/.f64 1 (/.f64 (neg.f64 x) (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 1 (/.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (/.f64 1 (*.f64 x x))))
(+.f64 (*.f64 (/.f64 1 (*.f64 x x)) (neg.f64 (cos.f64 x))) (*.f64 (/.f64 1 (*.f64 x x)) 1))
(/.f64 (/.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(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 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) x)
(*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (*.f64 x 1/2)))
Outputs
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) x)
Calls

2 calls:

19.0ms
x
6.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 448 to 250 computations (44.2% saved)

regimes41.0ms (0.3%)

Counts
38 → 1
Calls
Call 1
Inputs
1/2
(/.f64 6 (*.f64 x x))
(*.f64 (/.f64 1 x) (*.f64 1/2 x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x))
(/.f64 (/.f64 x (/.f64 2 x)) (*.f64 x x))
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) -1/2))
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(/.f64 (*.f64 (/.f64 1 (/.f64 2 x)) x) (*.f64 x x))
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 1 (/.f64 (/.f64 2 x) x)) (*.f64 x x))
(/.f64 1 (*.f64 (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 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 (cos.f64 x)) 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 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))
(/.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 1 (*.f64 (*.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) x) x))
(/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)))
(/.f64 1 (/.f64 (/.f64 x (/.f64 1 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
(/.f64 1 (/.f64 (neg.f64 x) (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 1 (/.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (/.f64 1 (*.f64 x x))))
(+.f64 (*.f64 (/.f64 1 (*.f64 x x)) (neg.f64 (cos.f64 x))) (*.f64 (/.f64 1 (*.f64 x x)) 1))
(/.f64 (/.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(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 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
Outputs
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x))
Calls

2 calls:

20.0ms
x
12.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.4b1x
0.4b1(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 411 to 230 computations (44% saved)

regimes61.0ms (0.5%)

Counts
36 → 3
Calls
Call 1
Inputs
1/2
(/.f64 6 (*.f64 x x))
(*.f64 (/.f64 1 x) (*.f64 1/2 x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x))
(/.f64 (/.f64 x (/.f64 2 x)) (*.f64 x x))
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) -1/2))
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(/.f64 (*.f64 (/.f64 1 (/.f64 2 x)) x) (*.f64 x x))
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 1 (/.f64 (/.f64 2 x) x)) (*.f64 x x))
(/.f64 1 (*.f64 (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 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 (cos.f64 x)) 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 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))
(/.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 1 (*.f64 (*.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) x) x))
(/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)))
(/.f64 1 (/.f64 (/.f64 x (/.f64 1 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
(/.f64 1 (/.f64 (neg.f64 x) (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 1 (/.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (/.f64 1 (*.f64 x x))))
(+.f64 (*.f64 (/.f64 1 (*.f64 x x)) (neg.f64 (cos.f64 x))) (*.f64 (/.f64 1 (*.f64 x x)) 1))
(/.f64 (/.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6))) (*.f64 x x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(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 (cos.f64 x)) x) x)
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
Calls

2 calls:

42.0ms
x
11.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.2b3x
1.0b2(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 389 to 219 computations (43.7% saved)

bsearch38.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
3.5326878819732416e-9
0.015493037822497918
20.0ms
-123504.99272702979
-2.5449343337815575e-7
Results
34.0ms304×body256valid
Compiler

Compiled 374 to 284 computations (24.1% saved)

regimes60.0ms (0.5%)

Counts
31 → 3
Calls
Call 1
Inputs
1/2
(/.f64 6 (*.f64 x x))
(*.f64 (/.f64 1 x) (*.f64 1/2 x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x))
(/.f64 (/.f64 x (/.f64 2 x)) (*.f64 x x))
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) -1/2))
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(/.f64 (*.f64 (/.f64 1 (/.f64 2 x)) x) (*.f64 x x))
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 1 (/.f64 (/.f64 2 x) x)) (*.f64 x x))
(/.f64 1 (*.f64 (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 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 (cos.f64 x)) 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 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))
(/.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 1 (*.f64 (*.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) x) x))
(/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 x x)))
(/.f64 1 (/.f64 (/.f64 x (/.f64 1 x)) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
(/.f64 1 (/.f64 (neg.f64 x) (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 1 (/.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (/.f64 1 (*.f64 x x))))
(+.f64 (*.f64 (/.f64 1 (*.f64 x x)) (neg.f64 (cos.f64 x))) (*.f64 (/.f64 1 (*.f64 x x)) 1))
(/.f64 (/.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (fma.f64 1/120 (*.f64 x x) 1/6))) (*.f64 x x))
Outputs
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
Calls

2 calls:

40.0ms
x
13.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.2b3x
0.5b3(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 339 to 193 computations (43.1% saved)

bsearch39.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
3.5326878819732416e-9
0.015493037822497918
21.0ms
-123504.99272702979
-2.5449343337815575e-7
Results
34.0ms304×body256valid
Compiler

Compiled 374 to 275 computations (26.5% saved)

regimes33.0ms (0.3%)

Counts
15 → 3
Calls
Call 1
Inputs
1/2
(/.f64 6 (*.f64 x x))
(*.f64 (/.f64 1 x) (*.f64 1/2 x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x))
(/.f64 (/.f64 x (/.f64 2 x)) (*.f64 x x))
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) -1/2))
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(/.f64 (*.f64 (/.f64 1 (/.f64 2 x)) x) (*.f64 x x))
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 1 (/.f64 (/.f64 2 x) x)) (*.f64 x x))
(/.f64 1 (*.f64 (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 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:

21.0ms
x
8.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.5b3x
0.5b3(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 149 to 83 computations (44.3% saved)

bsearch38.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
3.5326878819732416e-9
0.015493037822497918
20.0ms
-123504.99272702979
-2.5449343337815575e-7
Results
34.0ms304×body256valid
Compiler

Compiled 374 to 275 computations (26.5% saved)

regimes10.0ms (0.1%)

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

1 calls:

7.0ms
x
Results
ErrorSegmentsBranch
13.6b1x
Compiler

Compiled 132 to 73 computations (44.7% saved)

regimes21.0ms (0.2%)

Counts
12 → 3
Calls
Call 1
Inputs
1/2
(/.f64 6 (*.f64 x x))
(*.f64 (/.f64 1 x) (*.f64 1/2 x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x))
(/.f64 (/.f64 x (/.f64 2 x)) (*.f64 x x))
(/.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) -1/2))
(*.f64 (/.f64 -1 (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(/.f64 (*.f64 (/.f64 1 (/.f64 2 x)) x) (*.f64 x x))
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 1 (/.f64 (/.f64 2 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:

18.0ms
x
Results
ErrorSegmentsBranch
13.5b3x
Compiler

Compiled 106 to 56 computations (47.2% saved)

bsearch37.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
0.015493037822497918
29.719874261048762
20.0ms
-123504.99272702979
-2.5449343337815575e-7
Results
33.0ms288×body256valid
Compiler

Compiled 409 to 279 computations (31.8% saved)

regimes17.0ms (0.1%)

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

1 calls:

15.0ms
x
Results
ErrorSegmentsBranch
13.5b3x
Compiler

Compiled 73 to 40 computations (45.2% saved)

bsearch37.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
0.015493037822497918
29.719874261048762
21.0ms
-123504.99272702979
-2.5449343337815575e-7
Results
33.0ms288×body256valid
Compiler

Compiled 301 to 225 computations (25.2% saved)

regimes9.0ms (0.1%)

Accuracy

Total -48.1b remaining (-353%)

Threshold costs -48.1b (-353%)

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

1 calls:

9.0ms
x
Results
ErrorSegmentsBranch
13.6b3x
Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch38.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
0.015493037822497918
29.719874261048762
21.0ms
-123504.99272702979
-2.5449343337815575e-7
Results
35.0ms288×body256valid
Compiler

Compiled 193 to 153 computations (20.7% saved)

simplify16.0ms (0.1%)

Algorithm
egg-herbie
Rules
38×*-commutative
24×+-commutative
18×sub-neg
16×neg-mul-1
16×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073533
1112533
2134533
3149533
4157533
5159533
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (neg.f64 x))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) x)
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x))
(if (<=.f64 x -734987459186865/144115188075855872) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 5534023222112865/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))
(if (<=.f64 x -734987459186865/144115188075855872) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 5534023222112865/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -734987459186865/144115188075855872) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 5534023222112865/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 1 (*.f64 (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))) x))
(if (<=.f64 x -7/2) (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) (if (<=.f64 x 7/2) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))))
(if (<=.f64 x -13/4) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 3602879701896397/1125899906842624) (+.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 7/2) 1/2 (/.f64 6 (*.f64 x x))))
1/2
Outputs
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (neg.f64 x))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) x)
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x))
(/.f64 (sin.f64 x) (*.f64 x (/.f64 x (tan.f64 (*.f64 x 1/2)))))
(if (<=.f64 x -734987459186865/144115188075855872) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 5534023222112865/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))
(if (<=.f64 x -734987459186865/144115188075855872) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 5534023222112865/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(if (<=.f64 x -734987459186865/144115188075855872) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 5534023222112865/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (or (<=.f64 x -734987459186865/144115188075855872) (not (<=.f64 x 5534023222112865/1152921504606846976))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))))
(if (<=.f64 x -734987459186865/144115188075855872) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 5534023222112865/1152921504606846976) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(if (or (<=.f64 x -734987459186865/144115188075855872) (not (<=.f64 x 5534023222112865/1152921504606846976))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))))
(/.f64 1 (*.f64 (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))) x))
(/.f64 1 (*.f64 x (+.f64 (*.f64 x 1/6) (*.f64 2 (/.f64 1 x)))))
(if (<=.f64 x -7/2) (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) (if (<=.f64 x 7/2) (+.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 7/2))) (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))))
(if (<=.f64 x -13/4) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 3602879701896397/1125899906842624) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 6 (*.f64 x x))))
(if (or (<=.f64 x -13/4) (not (<=.f64 x 3602879701896397/1125899906842624))) (/.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 7/2) 1/2 (/.f64 6 (*.f64 x x))))
(if (or (<=.f64 x -7/2) (not (<=.f64 x 7/2))) (/.f64 6 (*.f64 x x)) 1/2)
1/2
Compiler

Compiled 202 to 141 computations (30.2% saved)

soundness79.0ms (0.6%)

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 74 to 35 computations (52.7% saved)

end91.0ms (0.7%)

Compiler

Compiled 192 to 122 computations (36.5% saved)

Profiling

Loading profile data...