Details

Time bar (total: 11.9s)

analyze136.0ms (1.1%)

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 (21.8%)

Results
1.4s2085×body2048valid
430.0ms1123×body1024valid
389.0ms3420×body256valid
319.0ms1518×body512valid
63.0ms110×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)

simplify41.0ms (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
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
30.8b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
30.8b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
2.6b
(-.f64 1 (cos.f64 x))
14.8b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 20 to 9 computations (55% saved)

series2.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite85.0ms (0.7%)

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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simplify81.0ms (0.7%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
03215119
18904897
239464843
Stop Event
node limit
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))
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(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))
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(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
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(*.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))
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(*.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)))
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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))))
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(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3))
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(*.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)))
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(/.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))

eval95.0ms (0.8%)

Compiler

Compiled 4007 to 2144 computations (46.5% saved)

prune40.0ms (0.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New18315198
Fresh000
Picked011
Done000
Total18316199
Error
0.0b
Counts
199 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
30.5b
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
30.9b
(/.f64 (/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (+.f64 1 (cos.f64 x))) (*.f64 x x))
30.8b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
16.1b
(/.f64 (*.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))
16.3b
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)))
15.3b
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
30.9b
(/.f64 (log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
30.8b
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
30.2b
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))
32.5b
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
30.7b
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
30.2b
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
39.1b
(*.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))))
30.9b
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
30.7b
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
31.5b
1/2
Compiler

Compiled 425 to 300 computations (29.4% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(tan.f64 (/.f64 x 2))
0.2b
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
14.8b
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
Compiler

Compiled 33 to 18 computations (45.5% saved)

series5.0ms (0%)

Counts
3 → 36
Calls

9 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
@0
(tan.f64 (/.f64 x 2))
0.0ms
x
@inf
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))

rewrite131.0ms (1.1%)

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
01165
123965
2332765
Stop Event
node limit
Counts
3 → 134
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)))
(tan.f64 (/.f64 x 2))
Outputs
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simplify90.0ms (0.8%)

Algorithm
egg-herbie
Rules
1716×distribute-rgt-in
1712×distribute-lft-in
702×associate-*r*
696×associate-*l*
454×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03616162
19355898
246185898
Stop Event
node limit
Counts
170 → 206
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) 1)
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))))
(*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))
(*.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1)
(*.f64 1 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 x -2)))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 x -2)))
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (/.f64 1 x))
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (/.f64 1 (*.f64 x (neg.f64 x))))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 4)) (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))) (sin.f64 x))
(*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 4)) (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 4)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 x x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 x x)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 x) 4)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) x) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 x x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) (pow.f64 (cbrt.f64 x) 4)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) (neg.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) 1)) (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sin.f64 x))) (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2))) (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 x x)) (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6))
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2) (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2))
(pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/3)
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1)
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))))
(neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))) 1))
(neg.f64 (*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 x (neg.f64 x)))))
(neg.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x)))))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2)))))
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x)))
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 x x)))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 1)
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1)
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) 1)
(*.f64 1 (tan.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))))
(*.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3/2) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3/2))
(*.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/6) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/6))
(/.f64 (tan.f64 (*.f64 x 1/2)) 1)
(/.f64 1 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1))
(log1p.f64 (expm1.f64 (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 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))))
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
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(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1))
(tan.f64 (*.f64 1/2 x))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(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))

rewrite49.0ms (0.4%)

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))))))))

simplify40.0ms (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))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
2.6b
(-.f64 1 (cos.f64 x))
15.6b
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
Compiler

Compiled 21 to 13 computations (38.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite99.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1984×add-sqr-sqrt
1956×*-un-lft-identity
1826×add-cube-cbrt
1806×add-cbrt-cube
196×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
120723
2247523
Stop Event
node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 (pow.f64 x -2) (-.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 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (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 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))))))

simplify47.0ms (0.4%)

Algorithm
egg-herbie
Rules
1018×associate-*r/
886×associate-*r*
822×associate-*l/
790×associate-*l*
682×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
081847
1192843
2604825
33379825
Stop Event
node limit
Counts
31 → 40
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 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) 1)
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 1)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (-.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))))
(fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) 1/2))
(+.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 1/2 (fma.f64 1/720 (pow.f64 x 4) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 -1/24 (*.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)) (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 (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 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.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 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (pow.f64 x -2) (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))) (sin.f64 x))
(/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 (pow.f64 x -2) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (pow.f64 x -2) (fma.f64 (+.f64 1 (cos.f64 x)) (cos.f64 x) 1)))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (pow.f64 x -2)) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (pow.f64 x -2) (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))) (sin.f64 x))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 (pow.f64 x -2) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (pow.f64 x -2) (fma.f64 (+.f64 1 (cos.f64 x)) (cos.f64 x) 1)))
(pow.f64 (*.f64 (pow.f64 x -2) (-.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 (sqrt.f64 (*.f64 (pow.f64 x -2) (-.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))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 3)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3) 1/3)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(sqrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (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))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(expm1.f64 (log1p.f64 (*.f64 (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))
(exp.f64 (log.f64 (*.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))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.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))
(log1p.f64 (expm1.f64 (*.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))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (cos.f64 x) (pow.f64 x -2))
17.4b
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))
Compiler

Compiled 24 to 14 computations (41.7% saved)

series8.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))
1.0ms
x
@inf
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))
0.0ms
x
@0
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))
0.0ms
x
@0
(*.f64 (cos.f64 x) (pow.f64 x -2))
0.0ms
x
@inf
(*.f64 (cos.f64 x) (pow.f64 x -2))

rewrite81.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
866×*-commutative
858×unswap-sqr
538×swap-sqr
416×associate-*r/
412×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0946
119840
2259840
Stop Event
node limit
Counts
2 → 164
Calls
Call 1
Inputs
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))
(*.f64 (cos.f64 x) (pow.f64 x -2))
Outputs
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simplify179.0ms (1.5%)

Algorithm
egg-herbie
Rules
1176×associate-+r+
950×associate-+l+
912×fma-def
862×+-commutative
488×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045013536
1126411898
2553111886
Stop Event
node limit
Counts
188 → 280
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))
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(pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3) 1/3)
(neg.f64 (/.f64 (*.f64 (pow.f64 x -4) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (neg.f64 (+.f64 (cos.f64 x) 1)))))
(neg.f64 (/.f64 (*.f64 (pow.f64 x -6) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -4) (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 2))
(log.f64 (exp.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (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 (*.f64 (/.f64 (cos.f64 x) x) 1) x)
(/.f64 (*.f64 1 (/.f64 (cos.f64 x) x)) 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 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 6) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 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 (pow.f64 x 2)) 1/2)
(+.f64 (/.f64 1 (*.f64 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 1 (*.f64 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 1 (*.f64 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) (*.f64 x x))
(/.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) (*.f64 x x))
(/.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) (*.f64 x x))
(/.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) (*.f64 x x))
(+.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 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(+.f64 (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2)) (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x))))
(fma.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) (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 (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2)) (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x))))
(fma.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) (neg.f64 (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)))))
(+.f64 (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2)) (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x))))
(fma.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) (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 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(+.f64 (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2)) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) x) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (neg.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2))))
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(+.f64 (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(+.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))))
(+.f64 (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2)) (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x))))
(fma.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) (neg.f64 (cos.f64 x)))))
(+.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))))
(+.f64 (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2)) (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x))))
(fma.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) (neg.f64 (cos.f64 x)))))
(+.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (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 (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2)) (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x))))
(fma.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) (neg.f64 (cos.f64 x)))))
(+.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (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 (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2)) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) x) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (neg.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2))))
(+.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (*.f64 (pow.f64 x -2) (cos.f64 x))))
(+.f64 (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(+.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(fma.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(fma.f64 2 (*.f64 (pow.f64 x -2) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(fma.f64 2 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(+.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (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 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(fma.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(fma.f64 2 (*.f64 (pow.f64 x -2) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(fma.f64 2 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(+.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (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 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(fma.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(fma.f64 2 (*.f64 (pow.f64 x -2) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(fma.f64 2 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(+.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (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 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(+.f64 (fma.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) x) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(+.f64 (+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (neg.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2))) (fma.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (+.f64 (fma.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))) (neg.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2))))
(+.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(+.f64 (fma.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (*.f64 (cos.f64 x) (pow.f64 x -2))))
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(/.f64 (*.f64 (pow.f64 x -6) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (pow.f64 x -4)))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 2) (*.f64 (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))))) (-.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2) (*.f64 (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))))) (-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2) (*.f64 (*.f64 (pow.f64 x -2) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x))) (*.f64 (pow.f64 x -2) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x))))) (-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) (*.f64 (pow.f64 x -2) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2) (*.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) (neg.f64 (cos.f64 x)))))) (-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 2) (*.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 1 (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 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2) (*.f64 (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))))) (-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2) (*.f64 (*.f64 (pow.f64 x -2) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x))) (*.f64 (pow.f64 x -2) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x))))) (-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) (*.f64 (pow.f64 x -2) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2) (*.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) (neg.f64 (cos.f64 x)))))) (-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 2) (*.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 1 (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 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2) (*.f64 (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))) (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))))) (-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2) (*.f64 (*.f64 (pow.f64 x -2) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x))) (*.f64 (pow.f64 x -2) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x))))) (-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) (*.f64 (pow.f64 x -2) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2) (*.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) (neg.f64 (cos.f64 x)))))) (-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 2) (*.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 (/.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 1 (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 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2) (*.f64 (fma.f64 (/.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) x) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (cos.f64 x) (pow.f64 x -2))) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) x) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (cos.f64 x) (pow.f64 x -2))))) (-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) x) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2) (*.f64 (+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (neg.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2))) (+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (neg.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2))))) (-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) (+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (neg.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 2) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (*.f64 (pow.f64 x -2) (cos.f64 x))))) (-.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (*.f64 (cos.f64 x) (pow.f64 x -2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (*.f64 (cos.f64 x) (pow.f64 x -2))))) (-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4) (pow.f64 x -4)) (-.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2)))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4) (pow.f64 x -4)) (*.f64 (pow.f64 x -2) (-.f64 -1 (cos.f64 x))))
(pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 1)
(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))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 2)
(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))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 3)
(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))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3) 1/3)
(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))
(neg.f64 (/.f64 (*.f64 (pow.f64 x -4) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (neg.f64 (+.f64 (cos.f64 x) 1)))))
(/.f64 (*.f64 (pow.f64 x -4) (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 x -2) (+.f64 (neg.f64 (cos.f64 x)) -1)))
(*.f64 (neg.f64 (/.f64 (pow.f64 x -2) 1)) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 x -2) 1) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (-.f64 -1 (cos.f64 x))))
(neg.f64 (/.f64 (*.f64 (pow.f64 x -6) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -4) (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))))
(/.f64 (*.f64 (pow.f64 x -6) (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -4) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))
(*.f64 1 (/.f64 (*.f64 (pow.f64 x -6) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 1) (pow.f64 x -4))))
(/.f64 (pow.f64 x -6) (/.f64 (neg.f64 (*.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (pow.f64 x -4))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 2))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(log.f64 (exp.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (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))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (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))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3))
(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))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (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))
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (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))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (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))
(fma.f64 1 (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))
(fma.f64 (/.f64 1 x) (/.f64 1 x) (*.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))
(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 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4))) (*.f64 (cos.f64 x) (pow.f64 x -2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) 1)
(*.f64 (cos.f64 x) (pow.f64 x -2))
(/.f64 (*.f64 (/.f64 (cos.f64 x) x) 1) x)
(/.f64 (cos.f64 x) (*.f64 x x))
(/.f64 (*.f64 1 (/.f64 (cos.f64 x) x)) x)
(/.f64 (cos.f64 x) (*.f64 x x))
(pow.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) 1)
(*.f64 (cos.f64 x) (pow.f64 x -2))
(pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 3)
(*.f64 (cos.f64 x) (pow.f64 x -2))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 6) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 6))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (cos.f64 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) (pow.f64 x -2))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 6))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 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) (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(*.f64 (cos.f64 x) (pow.f64 x -2))

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
0.4b
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
2.6b
(-.f64 1 (cos.f64 x))
15.6b
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))
Compiler

Compiled 58 to 39 computations (32.8% saved)

series14.0ms (0.1%)

Counts
3 → 20
Calls

9 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))
3.0ms
x
@inf
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))
2.0ms
x
@inf
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
2.0ms
x
@-inf
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
1.0ms
x
@0
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))

rewrite84.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
994×*-commutative
874×unswap-sqr
612×swap-sqr
494×associate-*r/
468×sqr-pow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01465
128265
2322965
Stop Event
node limit
Counts
3 → 139
Calls
Call 1
Inputs
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
Outputs
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simplify108.0ms (0.9%)

Algorithm
egg-herbie
Rules
1258×fma-def
650×associate-/l*
564×associate-*l*
524×associate-+l+
494×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03617533
110087269
239836347
Stop Event
node limit
Counts
159 → 224
Calls
Call 1
Inputs
(*.f64 (pow.f64 (*.f64 1 (-.f64 1 (cos.f64 x))) 1/3) (/.f64 1 (pow.f64 x 2)))
(*.f64 (pow.f64 (*.f64 1 (-.f64 1 (cos.f64 x))) 1/3) (/.f64 1 (pow.f64 x 2)))
(*.f64 (pow.f64 (*.f64 1 (-.f64 1 (cos.f64 x))) 1/3) (/.f64 1 (pow.f64 x 2)))
(*.f64 (pow.f64 (*.f64 1 (-.f64 1 (cos.f64 x))) 1/3) (/.f64 1 (pow.f64 x 2)))
(*.f64 (pow.f64 (*.f64 1 (-.f64 1 (cos.f64 x))) 1/3) (/.f64 1 (pow.f64 x 2)))
(*.f64 (pow.f64 (*.f64 1 (-.f64 1 (cos.f64 x))) 1/3) (/.f64 1 (pow.f64 x 2)))
(*.f64 (pow.f64 (*.f64 1 (-.f64 1 (cos.f64 x))) 1/3) (/.f64 1 (pow.f64 x 2)))
(*.f64 (pow.f64 (*.f64 1 (-.f64 1 (cos.f64 x))) 1/3) (/.f64 1 (pow.f64 x 2)))
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3)
(*.f64 1/4 (pow.f64 x 4))
(+.f64 (*.f64 -1/24 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x 4)))
(+.f64 (*.f64 -1/24 (pow.f64 x 6)) (+.f64 (*.f64 1/320 (pow.f64 x 8)) (*.f64 1/4 (pow.f64 x 4))))
(+.f64 (*.f64 -1/24 (pow.f64 x 6)) (+.f64 (*.f64 1/320 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 -17/120960 (pow.f64 x 10)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))) 1)
(/.f64 (*.f64 (pow.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 (pow.f64 x -2) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) 1) x)
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (pow.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))) (pow.f64 x -2)) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 1 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) x)
(pow.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) 1)
(pow.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/6) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 x -4)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) 3))
(cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (pow.f64 x -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/6) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))))
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(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.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 (-.f64 1 (cos.f64 x)) (-.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 (-.f64 1 (cos.f64 x)) (-.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 (-.f64 1 (cos.f64 x)) (-.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)))))
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))
(log.f64 (exp.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(exp.f64 (*.f64 2 (log1p.f64 (neg.f64 (cos.f64 x)))))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
Outputs
(*.f64 (pow.f64 (*.f64 1 (-.f64 1 (cos.f64 x))) 1/3) (/.f64 1 (pow.f64 x 2)))
(*.f64 (/.f64 1 (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))
(*.f64 (pow.f64 (*.f64 1 (-.f64 1 (cos.f64 x))) 1/3) (/.f64 1 (pow.f64 x 2)))
(*.f64 (/.f64 1 (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))
(*.f64 (pow.f64 (*.f64 1 (-.f64 1 (cos.f64 x))) 1/3) (/.f64 1 (pow.f64 x 2)))
(*.f64 (/.f64 1 (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))
(*.f64 (pow.f64 (*.f64 1 (-.f64 1 (cos.f64 x))) 1/3) (/.f64 1 (pow.f64 x 2)))
(*.f64 (/.f64 1 (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))
(*.f64 (pow.f64 (*.f64 1 (-.f64 1 (cos.f64 x))) 1/3) (/.f64 1 (pow.f64 x 2)))
(*.f64 (/.f64 1 (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))
(*.f64 (pow.f64 (*.f64 1 (-.f64 1 (cos.f64 x))) 1/3) (/.f64 1 (pow.f64 x 2)))
(*.f64 (/.f64 1 (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))
(*.f64 (pow.f64 (*.f64 1 (-.f64 1 (cos.f64 x))) 1/3) (/.f64 1 (pow.f64 x 2)))
(*.f64 (/.f64 1 (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))
(*.f64 (pow.f64 (*.f64 1 (-.f64 1 (cos.f64 x))) 1/3) (/.f64 1 (pow.f64 x 2)))
(*.f64 (/.f64 1 (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)
(*.f64 1/4 (pow.f64 x 4))
(+.f64 (*.f64 -1/24 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 6) (*.f64 1/4 (pow.f64 x 4)))
(fma.f64 1/4 (pow.f64 x 4) (*.f64 -1/24 (pow.f64 x 6)))
(+.f64 (*.f64 -1/24 (pow.f64 x 6)) (+.f64 (*.f64 1/320 (pow.f64 x 8)) (*.f64 1/4 (pow.f64 x 4))))
(fma.f64 -1/24 (pow.f64 x 6) (fma.f64 1/320 (pow.f64 x 8) (*.f64 1/4 (pow.f64 x 4))))
(fma.f64 -1/24 (pow.f64 x 6) (fma.f64 1/4 (pow.f64 x 4) (*.f64 1/320 (pow.f64 x 8))))
(fma.f64 1/4 (pow.f64 x 4) (fma.f64 -1/24 (pow.f64 x 6) (*.f64 1/320 (pow.f64 x 8))))
(+.f64 (*.f64 -1/24 (pow.f64 x 6)) (+.f64 (*.f64 1/320 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 -17/120960 (pow.f64 x 10)))))
(fma.f64 -1/24 (pow.f64 x 6) (fma.f64 1/320 (pow.f64 x 8) (fma.f64 1/4 (pow.f64 x 4) (*.f64 -17/120960 (pow.f64 x 10)))))
(fma.f64 -1/24 (pow.f64 x 6) (fma.f64 1/4 (pow.f64 x 4) (fma.f64 1/320 (pow.f64 x 8) (*.f64 -17/120960 (pow.f64 x 10)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))) 1)
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))
(/.f64 (*.f64 (pow.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 (pow.f64 x -2) (/.f64 (cbrt.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 (pow.f64 x -2) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 (pow.f64 x -2) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 x -2) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (/.f64 (pow.f64 x -2) (cbrt.f64 (+.f64 1 (cos.f64 x)))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) 1) x)
(*.f64 (/.f64 1 (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (pow.f64 x -2)) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (pow.f64 x -2) (/.f64 (cbrt.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 (pow.f64 x -2) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 (pow.f64 x -2) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (pow.f64 x -2)) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 x -2) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (/.f64 (pow.f64 x -2) (cbrt.f64 (+.f64 1 (cos.f64 x)))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (*.f64 1 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) x)
(*.f64 (/.f64 1 (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))
(pow.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) 1)
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))
(pow.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/6) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))) 3)
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) 3) 1/3)
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))
(sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 x -4)))
(fabs.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))
(cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) 3))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))
(cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (pow.f64 x -2) 3)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))
(exp.f64 (log.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) 1)
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)
(*.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(cbrt.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) 1)
(cbrt.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 1 1/6) (pow.f64 1 1/6)))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/6) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (-.f64 1 (cos.f64 x)) 1/6))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/6) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4)) 1/6) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4)) 1/6)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2)))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)
(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4)) 1/6) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4)) 1/6)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))))
(*.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)
(*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1/6) (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1/6)) (pow.f64 (-.f64 1 (cos.f64 x)) 1/6)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1/6) (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1/6)) (pow.f64 (-.f64 1 (cos.f64 x)) 1/6)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1/6) (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1/6) (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1/6))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/6) (*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1/6) (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1/6))) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/6) (*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1/6) (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1/6))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1/6) (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1/6) (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1/6))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/6))) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/6))))
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/6) (sqrt.f64 (-.f64 1 (cos.f64 x))))
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(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (cbrt.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 1 (cos.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))))
(/.f64 (*.f64 (*.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)))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (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 1 (cos.f64 x)) (/.f64 (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(/.f64 (*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) (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 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) (/.f64 (cbrt.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 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))) (cbrt.f64 (+.f64 1 (cos.f64 x)))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (-.f64 1 (cos.f64 x))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (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 (-.f64 1 (cos.f64 x)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (-.f64 1 (cos.f64 x))) (+.f64 -1 (neg.f64 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 -1 (cos.f64 x)) (+.f64 (pow.f64 (cos.f64 x) 2) -1)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 -1 (cos.f64 x))) (+.f64 (pow.f64 (cos.f64 x) 2) -1))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (cos.f64 x))) (+.f64 -1 (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 -1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (neg.f64 (-.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) 2)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 -1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (+.f64 (pow.f64 (cos.f64 x) 3) -1))
(/.f64 (*.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(*.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) 6)))
(/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x))))
(+.f64 (-.f64 1 (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))
(+.f64 1 (-.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (cos.f64 x)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.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)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (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 (-.f64 1 (cos.f64 x)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.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 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (sqrt.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 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (hypot.f64 (cos.f64 x) (sqrt.f64 (+.f64 1 (cos.f64 x))))) (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 3))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (fabs.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (fabs.f64 (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (fabs.f64 (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 3))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.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)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (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 (-.f64 1 (cos.f64 x)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.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 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (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 (-.f64 1 (cos.f64 x)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.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 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (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 (-.f64 1 (cos.f64 x)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 4))
(+.f64 (-.f64 1 (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))
(+.f64 1 (-.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (cos.f64 x)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(log.f64 (exp.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(+.f64 (-.f64 1 (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))
(+.f64 1 (-.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (cos.f64 x)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(+.f64 (-.f64 1 (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))
(+.f64 1 (-.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (cos.f64 x)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 3))
(+.f64 (-.f64 1 (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))
(+.f64 1 (-.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (cos.f64 x)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(+.f64 (-.f64 1 (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))
(+.f64 1 (-.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (cos.f64 x)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)
(exp.f64 (*.f64 2 (log1p.f64 (neg.f64 (cos.f64 x)))))
(pow.f64 (exp.f64 2) (log1p.f64 (neg.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(+.f64 (-.f64 1 (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))
(+.f64 1 (-.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (cos.f64 x)))
(pow.f64 (-.f64 1 (cos.f64 x)) 2)

eval759.0ms (6.4%)

Compiler

Compiled 29865 to 18483 computations (38.1% saved)

prune572.0ms (4.8%)

Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New111171118
Fresh6410
Picked101
Done145
Total1119151134
Error
0b
Counts
1134 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
30.5b
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
30.2b
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)
30.8b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
15.3b
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
30.5b
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
46.3b
(-.f64 (pow.f64 x -2) (/.f64 1 (*.f64 x x)))
32.5b
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
30.7b
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
15.9b
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))
30.2b
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
0.1b
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
30.3b
(*.f64 (/.f64 1 x) (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))
0.2b
(*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))
30.9b
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
31.5b
1/2
Compiler

Compiled 272 to 191 computations (29.8% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(tan.f64 (*.f64 x 1/2))
0.1b
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
0.1b
(/.f64 (sin.f64 x) x)
0.1b
(/.f64 (tan.f64 (*.f64 x 1/2)) x)
Compiler

Compiled 33 to 18 computations (45.5% saved)

series4.0ms (0%)

Counts
4 → 40
Calls

12 calls:

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

rewrite126.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1724×associate-/l*
1050×unswap-sqr
840×swap-sqr
400×associate-/l/
296×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01172
123572
2315772
Stop Event
node limit
Counts
4 → 318
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 x 1/2)) x)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(tan.f64 (*.f64 x 1/2))
Outputs
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simplify146.0ms (1.2%)

Algorithm
egg-herbie
Rules
1514×associate-/r*
1170×associate-/r/
902×*-commutative
794×associate-*r/
704×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
076411360
1203711216
2799311216
Stop Event
node limit
Counts
358 → 422
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))
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)))))
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 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 1)
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(pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3) 1/3)
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(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))
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(/.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 1 (sqrt.f64 x)) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x))))
(/.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sqrt.f64 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (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 -1 (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x)) (sin.f64 x)))
(/.f64 -1 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (tan.f64 (*.f64 x 1/2))))
(/.f64 -1 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (neg.f64 (tan.f64 (*.f64 x 1/2))))))
(/.f64 -1 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 x (neg.f64 (sin.f64 x)))))
(/.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x)) (sqrt.f64 (sin.f64 x))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x)) (cbrt.f64 (sin.f64 x))))
(/.f64 (neg.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (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 (/.f64 x (sin.f64 x)) (neg.f64 x)) (cos.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 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 x (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (/.f64 (sin.f64 x) x)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (sin.f64 x))) (/.f64 x (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (sin.f64 x)))))
(/.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 1) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x)))
(/.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 x))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 1) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (sqrt.f64 x)) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) 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 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 (/.f64 x (sin.f64 x)) (*.f64 (cos.f64 (*.f64 x 1/2)) 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 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) (neg.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)) (neg.f64 x)) (/.f64 (sin.f64 x) 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) x) (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x))))
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (/.f64 x (sin.f64 x))))
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))))
(neg.f64 (/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x))))
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x))))
(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)) (sin.f64 x)) (*.f64 x (neg.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) x)) (/.f64 (tan.f64 (*.f64 x 1/2)) 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)) x) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) 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 (tan.f64 (*.f64 x 1/2)))) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) 1)
(*.f64 1 (tan.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (neg.f64 (neg.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (neg.f64 (neg.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))) (neg.f64 (sqrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))))))
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))))) (neg.f64 (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))))))
(*.f64 -1 (neg.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (neg.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (neg.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (neg.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))))) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))))
(*.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (tan.f64 (*.f64 x 1/2)) 1)
(/.f64 1 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2)))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(neg.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))))
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1))
(log1p.f64 (expm1.f64 (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 1/240 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/24 (*.f64 x x) (*.f64 1/240 (pow.f64 x 4))))
(+.f64 (fma.f64 1/24 (*.f64 x x) 1/2) (*.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 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 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) x)
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) x)
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) x)
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) x)
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) x)
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) x)
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) x)
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) x)
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/6 (*.f64 x x)))
(fma.f64 -1/6 (*.f64 x x) 1)
(+.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 (fma.f64 -1/6 (*.f64 x x) 1) (*.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 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (pow.f64 x 6) -1/5040)))
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 (fma.f64 -1/24 (*.f64 x x) 1/2) (*.f64 (pow.f64 x 4) 1/720))
(+.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))))
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(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(tan.f64 (*.f64 1/2 x))
(neg.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 1/2 x))) (neg.f64 (cos.f64 (*.f64 1/2 x))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2))
(fabs.f64 (tan.f64 (*.f64 1/2 x)))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))
(tan.f64 (*.f64 1/2 x))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(tan.f64 (*.f64 1/2 x))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1))
(tan.f64 (*.f64 1/2 x))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))

localize42.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(/.f64 1 (*.f64 x x))
15.5b
(-.f64 (pow.f64 x -2) (/.f64 1 (*.f64 x x)))
Compiler

Compiled 24 to 13 computations (45.8% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite65.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1674×add-sqr-sqrt
1642×*-un-lft-identity
1546×add-cube-cbrt
1536×add-cbrt-cube
186×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0938
119726
2261126
Stop Event
node limit
Counts
2 → 62
Calls
Call 1
Inputs
(-.f64 (pow.f64 x -2) (/.f64 1 (*.f64 x x)))
(/.f64 1 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (neg.f64 (pow.f64 x -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2)) (fma.f64 (neg.f64 (pow.f64 x -2)) 1 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2)) (fma.f64 (neg.f64 (/.f64 1 x)) (/.f64 1 x) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -4)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (pow.f64 x -2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))) (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))) 2) (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -4) (pow.f64 x -4)) (/.f64 1 (+.f64 (pow.f64 x -2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -6) (pow.f64 x -6)) (/.f64 1 (+.f64 (pow.f64 x -4) (+.f64 (pow.f64 x -4) (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)) (-.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (pow.f64 x -2)) (-.f64 (pow.f64 x -4) (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x -4) (+.f64 (pow.f64 x -4) (pow.f64 x -4))) (-.f64 (pow.f64 x -6) (pow.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -4) (pow.f64 x -4)) (+.f64 (pow.f64 x -2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -6) (pow.f64 x -6)) (+.f64 (pow.f64 x -4) (+.f64 (pow.f64 x -4) (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -4) (*.f64 (neg.f64 (pow.f64 x -2)) (neg.f64 (pow.f64 x -2)))) (-.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -6) (pow.f64 (neg.f64 (pow.f64 x -2)) 3)) (+.f64 (pow.f64 x -4) (-.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (neg.f64 (pow.f64 x -2))) (*.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -4) (pow.f64 x -4))) (neg.f64 (+.f64 (pow.f64 x -2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -6) (pow.f64 x -6))) (neg.f64 (+.f64 (pow.f64 x -4) (+.f64 (pow.f64 x -4) (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) (/.f64 1 x) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)) (neg.f64 (pow.f64 x -2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (cbrt.f64 (*.f64 x x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) -2) (pow.f64 (sqrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) -2) (pow.f64 (cbrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -2 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2)))))))

simplify71.0ms (0.6%)

Algorithm
egg-herbie
Rules
1422×associate-/r/
1136×associate-+l-
984×associate--r-
688×+-commutative
588×associate--l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0147744
1349536
2991530
34666530
Stop Event
node limit
Counts
86 → 75
Calls
Call 1
Inputs
0
0
0
0
0
0
0
0
0
0
0
0
(/.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) (neg.f64 (pow.f64 x -2)))
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (pow.f64 x -2)) 1))
(+.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2)) (fma.f64 (neg.f64 (pow.f64 x -2)) 1 (pow.f64 x -2)))
(+.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2)) (fma.f64 (neg.f64 (/.f64 1 x)) (/.f64 1 x) (pow.f64 x -2)))
(+.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -4)) (pow.f64 x -2)))
(+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))
(*.f64 1 (-.f64 (pow.f64 x -2) (pow.f64 x -2)))
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2)) 1)
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))) (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))) 2) (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))))
(*.f64 (-.f64 (pow.f64 x -4) (pow.f64 x -4)) (/.f64 1 (+.f64 (pow.f64 x -2) (pow.f64 x -2))))
(*.f64 (-.f64 (pow.f64 x -6) (pow.f64 x -6)) (/.f64 1 (+.f64 (pow.f64 x -4) (+.f64 (pow.f64 x -4) (pow.f64 x -4)))))
(*.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)) (-.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (pow.f64 x -2)) (-.f64 (pow.f64 x -4) (pow.f64 x -4))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -4) (+.f64 (pow.f64 x -4) (pow.f64 x -4))) (-.f64 (pow.f64 x -6) (pow.f64 x -6))))
(/.f64 (-.f64 (pow.f64 x -4) (pow.f64 x -4)) (+.f64 (pow.f64 x -2) (pow.f64 x -2)))
(/.f64 (-.f64 (pow.f64 x -6) (pow.f64 x -6)) (+.f64 (pow.f64 x -4) (+.f64 (pow.f64 x -4) (pow.f64 x -4))))
(/.f64 (-.f64 (pow.f64 x -4) (*.f64 (neg.f64 (pow.f64 x -2)) (neg.f64 (pow.f64 x -2)))) (-.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2))))
(/.f64 (+.f64 (pow.f64 x -6) (pow.f64 (neg.f64 (pow.f64 x -2)) 3)) (+.f64 (pow.f64 x -4) (-.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (neg.f64 (pow.f64 x -2))) (*.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -4) (pow.f64 x -4))) (neg.f64 (+.f64 (pow.f64 x -2) (pow.f64 x -2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -6) (pow.f64 x -6))) (neg.f64 (+.f64 (pow.f64 x -4) (+.f64 (pow.f64 x -4) (pow.f64 x -4)))))
(pow.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2)) 1)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))) 2)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))))
(exp.f64 (log.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))) 1))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))))
(fma.f64 1 (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))
(fma.f64 (/.f64 1 x) (/.f64 1 x) (neg.f64 (pow.f64 x -2)))
(fma.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)) (neg.f64 (pow.f64 x -2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1)
(*.f64 (pow.f64 x -2) 1)
(*.f64 1 (pow.f64 x -2))
(*.f64 (/.f64 1 x) (/.f64 1 x))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4)))
(*.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 -1 (neg.f64 (pow.f64 x -2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (cbrt.f64 (*.f64 x x)) -1))
(*.f64 (pow.f64 (sqrt.f64 x) -2) (pow.f64 (sqrt.f64 x) -2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) -2) (pow.f64 (cbrt.f64 x) -2))
(pow.f64 x -2)
(pow.f64 (pow.f64 x -2) 1)
(pow.f64 (*.f64 x x) -1)
(pow.f64 (/.f64 1 x) 2)
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)
(pow.f64 (pow.f64 x -6) 1/3)
(sqrt.f64 (pow.f64 x -4))
(log.f64 (exp.f64 (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2))))
(cbrt.f64 (pow.f64 x -6))
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(exp.f64 (*.f64 -2 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) -1))
(exp.f64 (*.f64 (*.f64 -2 (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
Outputs
0
0
0
0
0
0
0
0
0
0
0
0
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(+.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))
0
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (pow.f64 x -2)) 1))
0
(+.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2)) (fma.f64 (neg.f64 (pow.f64 x -2)) 1 (pow.f64 x -2)))
0
(+.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2)) (fma.f64 (neg.f64 (/.f64 1 x)) (/.f64 1 x) (pow.f64 x -2)))
0
(+.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -4)) (pow.f64 x -2)))
(+.f64 0 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -4)) (pow.f64 x -2)))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -4)) (pow.f64 x -2))
(+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))
0
(*.f64 1 (-.f64 (pow.f64 x -2) (pow.f64 x -2)))
0
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2)) 1)
0
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))) (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))))
0
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))) 2))
0
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))) 2) (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))))
0
(*.f64 (-.f64 (pow.f64 x -4) (pow.f64 x -4)) (/.f64 1 (+.f64 (pow.f64 x -2) (pow.f64 x -2))))
0
(*.f64 (-.f64 (pow.f64 x -6) (pow.f64 x -6)) (/.f64 1 (+.f64 (pow.f64 x -4) (+.f64 (pow.f64 x -4) (pow.f64 x -4)))))
0
(*.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)) (-.f64 (/.f64 1 x) (/.f64 1 x)))
0
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (pow.f64 x -2)) (-.f64 (pow.f64 x -4) (pow.f64 x -4))))
0
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -4) (+.f64 (pow.f64 x -4) (pow.f64 x -4))) (-.f64 (pow.f64 x -6) (pow.f64 x -6))))
0
(/.f64 (-.f64 (pow.f64 x -4) (pow.f64 x -4)) (+.f64 (pow.f64 x -2) (pow.f64 x -2)))
0
(/.f64 (-.f64 (pow.f64 x -6) (pow.f64 x -6)) (+.f64 (pow.f64 x -4) (+.f64 (pow.f64 x -4) (pow.f64 x -4))))
0
(/.f64 (-.f64 (pow.f64 x -4) (*.f64 (neg.f64 (pow.f64 x -2)) (neg.f64 (pow.f64 x -2)))) (-.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2))))
0
(/.f64 (+.f64 (pow.f64 x -6) (pow.f64 (neg.f64 (pow.f64 x -2)) 3)) (+.f64 (pow.f64 x -4) (-.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (neg.f64 (pow.f64 x -2))) (*.f64 (pow.f64 x -2) (neg.f64 (pow.f64 x -2))))))
(/.f64 (+.f64 (pow.f64 x -6) (pow.f64 (neg.f64 (pow.f64 x -2)) 3)) (+.f64 (pow.f64 x -4) (*.f64 2 (pow.f64 x -4))))
(/.f64 (-.f64 (pow.f64 x -6) (pow.f64 (pow.f64 x -2) 3)) (*.f64 3 (pow.f64 x -4)))
(/.f64 (-.f64 (pow.f64 x -6) (pow.f64 (pow.f64 x -2) 3)) (*.f64 (pow.f64 x -4) 3))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -4) (pow.f64 x -4))) (neg.f64 (+.f64 (pow.f64 x -2) (pow.f64 x -2))))
0
(/.f64 (neg.f64 (-.f64 (pow.f64 x -6) (pow.f64 x -6))) (neg.f64 (+.f64 (pow.f64 x -4) (+.f64 (pow.f64 x -4) (pow.f64 x -4)))))
0
(pow.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2)) 1)
0
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))) 2)
0
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))) 3)
0
(pow.f64 (pow.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2)) 3) 1/3)
0
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2)) 2))
(sqrt.f64 0)
(log.f64 (exp.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))))
0
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2)))))
0
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2)) 3))
0
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))))
0
(exp.f64 (log.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))))
0
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))) 1))
0
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -2))))
0
(fma.f64 1 (pow.f64 x -2) (neg.f64 (pow.f64 x -2)))
0
(fma.f64 (/.f64 1 x) (/.f64 1 x) (neg.f64 (pow.f64 x -2)))
0
(fma.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)) (neg.f64 (pow.f64 x -2)))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4))) (pow.f64 x -2))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4)) (neg.f64 (pow.f64 x -2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (pow.f64 x -2) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 1 (pow.f64 x -2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (/.f64 1 x) (/.f64 1 x))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4)))
(*.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4)))
(*.f64 -1 (neg.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (cbrt.f64 (*.f64 x x)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 1 (cbrt.f64 (*.f64 x x))))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))
(*.f64 (pow.f64 (sqrt.f64 x) -2) (pow.f64 (sqrt.f64 x) -2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) -2) (pow.f64 (cbrt.f64 x) -2))
(pow.f64 x -2)
(/.f64 1 (*.f64 x x))
(pow.f64 (pow.f64 x -2) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (*.f64 x x) -1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (/.f64 1 x) 2)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (pow.f64 x -6) 1/3)
(cbrt.f64 (pow.f64 x -6))
(sqrt.f64 (pow.f64 x -4))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(log.f64 (exp.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2))))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(cbrt.f64 (pow.f64 x -6))
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(exp.f64 (*.f64 -2 (log.f64 x)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) -1))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(exp.f64 (*.f64 (*.f64 -2 (log.f64 x)) 1))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
0.1b
(/.f64 (-.f64 1 (cos.f64 x)) x)
2.6b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 28 to 16 computations (42.9% saved)

series2.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite101.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1518×associate-/l*
1508×associate-/r*
1040×*-commutative
644×associate-/l/
484×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01040
121840
2297640
Stop Event
node limit
Counts
2 → 239
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 1 (neg.f64 (/.f64 (cos.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 (neg.f64 (/.f64 (cos.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (neg.f64 (/.f64 (cos.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (+.f64 1 (/.f64 (cos.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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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) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.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) x) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.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 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simplify124.0ms (1%)

Algorithm
egg-herbie
Rules
1450×associate-/l*
1088×times-frac
1012×associate-/r*
738×associate-/l/
654×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061510371
118509903
Stop Event
node limit
Counts
255 → 352
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)))))
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 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x)))
(+.f64 (/.f64 1 x) (*.f64 1 (neg.f64 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))
(+.f64 (/.f64 1 x) (*.f64 (neg.f64 (/.f64 (cos.f64 x) x)) 1))
(+.f64 (/.f64 1 x) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x)))
(+.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x))
(+.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (neg.f64 (/.f64 (cos.f64 x) x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (+.f64 1 (/.f64 (cos.f64 x) x)))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1)
(*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (pow.f64 x -1/2) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1/2)))
(*.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))
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(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x)) (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (pow.f64 x -1/2) x) (/.f64 (sqrt.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x 3))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x))))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) -1) (*.f64 x (*.f64 (+.f64 1 (cos.f64 x)) (neg.f64 x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) -1) (*.f64 x (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (neg.f64 x))))
(/.f64 (*.f64 -1 (+.f64 -1 (cos.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (pow.f64 (sqrt.f64 x) -1) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (pow.f64 (sqrt.f64 x) -1)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) -1)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 1 x) (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 1 x) (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 1 x) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 1 x) (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 1 x) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 1 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) (/.f64 (cbrt.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (/.f64 1 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 1 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) (neg.f64 x))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) 1) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) -1) x)
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) 1) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) -1) x)
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) 1) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) 1) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 -1 (+.f64 -1 (cos.f64 x))) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 1) (neg.f64 x))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) -1) x)
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.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)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2))
(log.f64 (exp.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (/.f64 1 (pow.f64 x 3))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
Outputs
(*.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)))))
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 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 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (/.f64 1 x) (*.f64 1 (neg.f64 (/.f64 (cos.f64 x) x))))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (/.f64 1 x) (*.f64 (neg.f64 (/.f64 (cos.f64 x) x)) 1))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (/.f64 1 x) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x)) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (neg.f64 (/.f64 (cos.f64 x) x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (+.f64 1 (/.f64 (cos.f64 x) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (+.f64 1 (/.f64 (cos.f64 x) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (neg.f64 (/.f64 (cos.f64 x) x))))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (pow.f64 x -1/2) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1/2)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 x -1/2) (pow.f64 x -1/2)))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1))
(*.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) x)
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) x)
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) x)
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (cbrt.f64 (/.f64 1 x)) (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x -2))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (/.f64 1 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 x -1/2) (pow.f64 x -1/2)))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -2))))
(*.f64 (*.f64 (/.f64 1 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))) x))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) x)
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) 1) (sqrt.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 x))) (*.f64 x (sqrt.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) 1) (cbrt.f64 x))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x))) (*.f64 x (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 x))) (*.f64 x (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) (*.f64 x (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (/.f64 (*.f64 -1 (+.f64 -1 (cos.f64 x))) (neg.f64 x)) (neg.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 1) (neg.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) -1) x)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (cbrt.f64 (neg.f64 x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x))))
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(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)
(*.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)) (pow.f64 x -2))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2))
(log.f64 (exp.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(*.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)) (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)) (pow.f64 x -2))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (/.f64 1 (pow.f64 x 3))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 x 6)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (/.f64 1 (pow.f64 x 3))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(*.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)) (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (/.f64 1 x) (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))
0.1b
(/.f64 (cos.f64 x) x)
2.8b
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))
Compiler

Compiled 32 to 15 computations (53.1% saved)

series27.0ms (0.2%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
24.0ms
x
@inf
(*.f64 (/.f64 1 x) (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))
1.0ms
x
@-inf
(*.f64 (/.f64 1 x) (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))
1.0ms
x
@-inf
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))
0.0ms
x
@inf
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))
0.0ms
x
@0
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))

rewrite152.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1606×associate-/r*
1254×associate-/l*
1136×*-commutative
664×distribute-lft-in
522×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01051
121751
2314851
Stop Event
node limit
Counts
3 → 417
Calls
Call 1
Inputs
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))
(/.f64 (cos.f64 x) x)
(*.f64 (/.f64 1 x) (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))
Outputs
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((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))))

simplify188.0ms (1.6%)

Algorithm
egg-herbie
Rules
1246×associate-*r*
1022×associate-*l*
866×*-commutative
820×associate-/r/
688×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
097022307
1285321189
Stop Event
node limit
Counts
445 → 678
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 1 (cos.f64 x)) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(+.f64 (*.f64 -1/2 x) (+.f64 (/.f64 1 x) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/720 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (*.f64 1/24 (pow.f64 x 3)))))
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 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(+.f64 (/.f64 1 x) (/.f64 (neg.f64 (cos.f64 x)) x))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 1 (/.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 1 (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 1 (/.f64 (cos.f64 x) x))))
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(/.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2))) (+.f64 1 (cos.f64 x))) (/.f64 1 x))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3))) 1) (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (+.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (pow.f64 x -2))))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (+.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (pow.f64 x -2))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (+.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (pow.f64 x -2)))))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (+.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (pow.f64 x -2)))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (+.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (pow.f64 x -2)))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (+.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (pow.f64 x -2)))))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 x (*.f64 x (cos.f64 x)))) 1) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 x (*.f64 x (cos.f64 x)))) x) x)
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 x (*.f64 x (cos.f64 x)))) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 x (*.f64 x (cos.f64 x)))) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x)))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) 1) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) -1) x)
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 x)) 1) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2)) -1) (neg.f64 x)) (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3)) -1) (neg.f64 x)) (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (+.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (pow.f64 x -2))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -1) (neg.f64 x)) x)
(/.f64 (/.f64 (*.f64 (-.f64 x (*.f64 x (cos.f64 x))) -1) (neg.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2)) -1) (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3)) -1) (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (+.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (pow.f64 x -2)))) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -1) x) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (-.f64 x (*.f64 x (cos.f64 x))) -1) (*.f64 x x)) (neg.f64 x))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 1) (neg.f64 x))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) -1) x)
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x -3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.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 1 (cos.f64 x)) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(fma.f64 -1/2 x (/.f64 1 x))
(+.f64 (*.f64 -1/2 x) (+.f64 (/.f64 1 x) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (fma.f64 -1/2 x (/.f64 1 x)) (*.f64 (pow.f64 x 3) 1/24))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/720 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 -1/2 x (fma.f64 -1/720 (pow.f64 x 5) (+.f64 (/.f64 1 x) (*.f64 (pow.f64 x 3) 1/24))))
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 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 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (/.f64 1 x) (/.f64 (neg.f64 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 1 (/.f64 (cos.f64 x) x))))
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 1 (/.f64 (cos.f64 x) x))))
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 1 (/.f64 (cos.f64 x) x))))
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 1 (/.f64 (cos.f64 x) x))))
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 1 (/.f64 (cos.f64 x) x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 1 (/.f64 (cos.f64 x) x))))
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 1 (/.f64 (cos.f64 x) x))))
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 1 (/.f64 (cos.f64 x) x))))
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (neg.f64 (cos.f64 x)) x) (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 1 (/.f64 (cos.f64 x) x))))
(-.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 1 (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (*.f64 (cos.f64 x) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (*.f64 (cos.f64 x) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (*.f64 (cos.f64 x) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (*.f64 (cos.f64 x) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 1 (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) x) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 2 (*.f64 (cos.f64 x) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x))))
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(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -1) (neg.f64 x)) x)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (-.f64 x (*.f64 x (cos.f64 x))) -1) (neg.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (neg.f64 x) (*.f64 x (cos.f64 x))) (neg.f64 (pow.f64 x 3)))
(/.f64 (*.f64 x (+.f64 (cos.f64 x) -1)) (neg.f64 (pow.f64 x 3)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2)) -1) (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2))) (*.f64 (neg.f64 x) (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2)) (/.f64 x (+.f64 1 (cos.f64 x))))) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3)) -1) (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (+.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (pow.f64 x -2)))) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3))) (*.f64 x (neg.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (fma.f64 (pow.f64 x -2) (cos.f64 x) (pow.f64 x -2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3))) (*.f64 x (neg.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -1) x) (neg.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (-.f64 x (*.f64 x (cos.f64 x))) -1) (*.f64 x x)) (neg.f64 x))
(/.f64 (+.f64 (neg.f64 x) (*.f64 x (cos.f64 x))) (neg.f64 (pow.f64 x 3)))
(/.f64 (*.f64 x (+.f64 (cos.f64 x) -1)) (neg.f64 (pow.f64 x 3)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 1) (neg.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) -1) x)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x) (*.f64 (cbrt.f64 (neg.f64 x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x -3)))
(cbrt.f64 (*.f64 (pow.f64 x -3) (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
0.2b
(/.f64 x (-.f64 1 (cos.f64 x)))
0.4b
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
2.6b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 34 to 19 computations (44.1% saved)

series9.0ms (0.1%)

Counts
3 → 28
Calls

9 calls:

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

rewrite99.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1468×associate-*r/
1244×associate-/r*
1050×*-commutative
996×associate-*l/
880×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01169
123563
2300763
Stop Event
node limit
Counts
3 → 343
Calls
Call 1
Inputs
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 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 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (cbrt.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 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simplify135.0ms (1.1%)

Algorithm
egg-herbie
Rules
1498×times-frac
1186×associate-/r*
1004×associate-/l/
896×associate-*r*
828×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
080316003
1227315171
Stop Event
node limit
Counts
371 → 519
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)
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(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) (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))))
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(/.f64 (*.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x)) (+.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 (*.f64 (neg.f64 (neg.f64 x)) x) (neg.f64 (+.f64 -1 (cos.f64 x))))
(/.f64 (*.f64 (*.f64 x (neg.f64 x)) 1) (+.f64 -1 (cos.f64 x)))
(/.f64 (*.f64 (/.f64 (*.f64 x x) 1) 1) (-.f64 1 (cos.f64 x)))
(/.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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) 1) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) 1) (+.f64 -1 (cos.f64 x)))
(/.f64 (*.f64 1 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) (sqrt.f64 (+.f64 -1 (cos.f64 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(/.f64 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))
(/.f64 (*.f64 (*.f64 x x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (/.f64 (*.f64 x x) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(/.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 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1/2)) (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1/2))
(/.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 1 (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 x (pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) -1)) (pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) -1))
(/.f64 (/.f64 x (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2) -1)) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) -1))
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) 1) (+.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 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 (neg.f64 x)) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (sqrt.f64 (+.f64 -1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 x (neg.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 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))))
(/.f64 (/.f64 (/.f64 (*.f64 x x) 1) 1) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (/.f64 (*.f64 x x) 1) (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 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) 1) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (*.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 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) 1) (+.f64 -1 (cos.f64 x)))
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) -1) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (sqrt.f64 (+.f64 -1 (cos.f64 x))))
(/.f64 (/.f64 (neg.f64 (*.f64 x 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 (neg.f64 (*.f64 x x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 1)
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(exp.f64 (log.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (-.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)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 2 x)
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 1/6 x (/.f64 2 x))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))))
(fma.f64 1/120 (pow.f64 x 3) (fma.f64 1/6 x (/.f64 2 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)))))
(fma.f64 1/120 (pow.f64 x 3) (+.f64 (fma.f64 1/6 x (/.f64 2 x)) (*.f64 1/3024 (pow.f64 x 5))))
(+.f64 (fma.f64 1/120 (pow.f64 x 3) (fma.f64 1/6 x (/.f64 2 x))) (*.f64 1/3024 (pow.f64 x 5)))
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 (pow.f64 x 4) 1/120))
(+.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 (pow.f64 x 4) 1/120)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)))
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -2)
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.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 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)))
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2)) (/.f64 1 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) 1) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2)) (/.f64 1 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) 1) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2))
(*.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) x)
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 x) (*.f64 x (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 -1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (+.f64 -1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) 1)) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)))
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -2)
(*.f64 (/.f64 1 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
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(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 x (-.f64 1 (cos.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 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 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 x (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (cbrt.f64 x) (/.f64 (*.f64 x (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.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 x (*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x))))
(/.f64 x (*.f64 (/.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 1 (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 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 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2) (/.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 x (pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) -1)) (pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) -1))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 x (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2) -1)) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) -1))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) 1) (+.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 (*.f64 x (neg.f64 x)) -1) (-.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 (*.f64 x (neg.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 x (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2)
(/.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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) x)
(*.f64 x (/.f64 x (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))))
(/.f64 (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (sqrt.f64 (+.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 (sqrt.f64 (+.f64 (cos.f64 x) -1))) (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 (*.f64 x (neg.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 x (cbrt.f64 (+.f64 (cos.f64 x) -1))) (/.f64 (neg.f64 x) (cbrt.f64 (+.f64 (cos.f64 x) -1)))) (cbrt.f64 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 x (cbrt.f64 (+.f64 (cos.f64 x) -1))) (/.f64 (neg.f64 x) (*.f64 (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 x (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 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 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) x)
(*.f64 x (/.f64 x (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))))
(/.f64 (/.f64 (/.f64 (*.f64 x x) 1) 1) (-.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 (/.f64 (*.f64 x x) 1) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) x)
(*.f64 x (/.f64 x (*.f64 (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 x (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2)
(/.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 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 x (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (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 x (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 x (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.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 x) (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 (/.f64 x (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) 1) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) x)
(*.f64 x (/.f64 x (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 x (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 x (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (*.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 (cbrt.f64 (-.f64 1 (cos.f64 x))))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (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 (cbrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) 1) (+.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 (neg.f64 (*.f64 x x)) -1) (-.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 (neg.f64 (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 x (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2)
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) x)
(*.f64 x (/.f64 x (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))))
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (sqrt.f64 (+.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 (sqrt.f64 (+.f64 (cos.f64 x) -1))) (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 (cos.f64 x) -1))))
(/.f64 (/.f64 (neg.f64 (*.f64 x 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 x (cbrt.f64 (+.f64 (cos.f64 x) -1))) (/.f64 (neg.f64 x) (cbrt.f64 (+.f64 (cos.f64 x) -1)))) (cbrt.f64 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 x (cbrt.f64 (+.f64 (cos.f64 x) -1))) (/.f64 (neg.f64 x) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (cbrt.f64 (+.f64 (cos.f64 x) -1)))))
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 x (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2)
(/.f64 (/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) x)
(*.f64 x (/.f64 x (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))))
(pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 1)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2)
(/.f64 x (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 3)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(pow.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 3) 1/3)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 2))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (log.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 3))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3)))
(cbrt.f64 (/.f64 (pow.f64 x 6) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(exp.f64 (log.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))

eval781.0ms (6.6%)

Compiler

Compiled 46331 to 25527 computations (44.9% saved)

prune928.0ms (7.8%)

Pruning

25 alts after pruning (21 fresh and 4 done)

PrunedKeptTotal
New2264182282
Fresh336
Picked101
Done448
Total2272252297
Error
0b
Counts
2297 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
30.9b
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x))
30.2b
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
0.1b
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x)))
0.1b
(/.f64 (/.f64 1 x) (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))
30.2b
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
30.2b
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)
36.9b
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x 3))
30.8b
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1 x)))
30.8b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
15.3b
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
36.9b
(/.f64 (neg.f64 (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x (neg.f64 (*.f64 x x))))
31.0b
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
30.5b
(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
30.6b
(/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
30.5b
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
32.5b
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
46.7b
(*.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (/.f64 1 x))
30.9b
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
30.2b
(*.f64 (/.f64 1 x) (/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) x))
30.3b
(*.f64 (/.f64 1 x) (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))
30.3b
(*.f64 (/.f64 1 x) (-.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (cos.f64 x))))
31.6b
(*.f64 (/.f64 1 x) (*.f64 1/2 x))
30.9b
(*.f64 1/2 (/.f64 (sin.f64 x) x))
31.5b
1/2
46.0b
0
Compiler

Compiled 486 to 331 computations (31.9% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(tan.f64 (*.f64 x 1/2))
0.1b
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x)))
0.1b
(/.f64 x (sin.f64 x))
0.1b
(/.f64 (tan.f64 (*.f64 x 1/2)) x)
Compiler

Compiled 33 to 18 computations (45.5% saved)

series3.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite77.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1320×associate-/r/
1292×associate-/l/
920×swap-sqr
482×distribute-lft-neg-in
428×distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01144
124044
2340544
Stop Event
node limit
Counts
2 → 145
Calls
Call 1
Inputs
(/.f64 x (sin.f64 x))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x)))
Outputs
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simplify84.0ms (0.7%)

Algorithm
egg-herbie
Rules
902×distribute-rgt-in
890×distribute-lft-in
626×distribute-lft-neg-in
596×distribute-lft-neg-out
580×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03844747
110724679
246934679
Stop Event
node limit
Counts
161 → 197
Calls
Call 1
Inputs
1
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6)))))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) 1)
(*.f64 x (/.f64 1 (sin.f64 x)))
(*.f64 x (neg.f64 (/.f64 -1 (sin.f64 x))))
(*.f64 (/.f64 x (sin.f64 x)) 1)
(*.f64 1 (/.f64 x (sin.f64 x)))
(*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x))))
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(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (sin.f64 x))))
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(pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) x) -1)
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(exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 x))) 1))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) 1)
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
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(*.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 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (/.f64 (sin.f64 x) (neg.f64 x)))
(*.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) 1) (sin.f64 x))
(*.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (/.f64 1 x))
(*.f64 (*.f64 1 (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (cbrt.f64 (/.f64 (sin.f64 x) x))))
(*.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 (pow.f64 (cbrt.f64 x) 2) x)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (neg.f64 x))) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 -1 x) (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (neg.f64 (sin.f64 x))))
(*.f64 (*.f64 (/.f64 (/.f64 1 x) x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sin.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x))
(*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) x) (sin.f64 x)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x))
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 (/.f64 1 x) (sqrt.f64 (/.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) x) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sin.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (cbrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2) x) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 x (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) -1) (/.f64 (sin.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x 1)) (sin.f64 x))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 x (*.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2) (sin.f64 x)))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x x) (sin.f64 x))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 (*.f64 x x) (sin.f64 x))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2) (/.f64 x (sin.f64 x))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) 1) (sin.f64 x))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) 1) (/.f64 (sin.f64 x) 1))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (/.f64 1 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) -1) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (neg.f64 x)) (neg.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 x 1)) (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) -1) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) x) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (/.f64 (sin.f64 x) x))) 1) (sqrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 x)) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) 1) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 x)) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x))))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 1)
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (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 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1)
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (neg.f64 (sin.f64 x))))
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) (neg.f64 x))))
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (/.f64 (sin.f64 x) x)))
(neg.f64 (*.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (neg.f64 (sin.f64 x))) 1))
(neg.f64 (*.f64 1 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (neg.f64 (sin.f64 x)))))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x))))
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (/.f64 x (sin.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) (sin.f64 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 (tan.f64 (*.f64 x 1/2)) x) 3) (pow.f64 (/.f64 x (sin.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
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(fma.f64 1/6 (*.f64 x x) 1)
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 7/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) 1))
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6)))))
(fma.f64 7/360 (pow.f64 x 4) (+.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 31/15120 (pow.f64 x 6))))
(fma.f64 7/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (fma.f64 31/15120 (pow.f64 x 6) 1)))
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 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x))) (cos.f64 (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) 1)
(/.f64 x (sin.f64 x))
(*.f64 x (/.f64 1 (sin.f64 x)))
(/.f64 x (sin.f64 x))
(*.f64 x (neg.f64 (/.f64 -1 (sin.f64 x))))
(/.f64 x (sin.f64 x))
(*.f64 (/.f64 x (sin.f64 x)) 1)
(/.f64 x (sin.f64 x))
(*.f64 1 (/.f64 x (sin.f64 x)))
(/.f64 x (sin.f64 x))
(*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x))))
(/.f64 x (sin.f64 x))
(*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (sin.f64 x))))))
(/.f64 x (sin.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (sin.f64 x))))
(/.f64 x (sin.f64 x))
(*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))
(/.f64 x (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 x (sin.f64 x))))
(/.f64 x (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 x (sin.f64 x))))))
(/.f64 x (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (sin.f64 x))))
(/.f64 x (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) x)
(/.f64 x (sin.f64 x))
(*.f64 (neg.f64 x) (/.f64 -1 (sin.f64 x)))
(/.f64 x (sin.f64 x))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))))
(/.f64 x (sin.f64 x))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x))) (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))) (neg.f64 (cbrt.f64 (/.f64 (neg.f64 x) (sin.f64 x)))))
(/.f64 x (sin.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 x (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
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(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (/.f64 1 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) -1) (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x)))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sqrt.f64 x))) (*.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (sqrt.f64 x))))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 x)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (neg.f64 x)) (neg.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 x 1)) (tan.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) -1) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) x) (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (/.f64 (sin.f64 x) x))) 1) (sqrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 x)) (sqrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (sin.f64 x) x)))))
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (neg.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (neg.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) 1) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (cbrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))
(*.f64 (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 x)) (cbrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 x))
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))
(*.f64 (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (cbrt.f64 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (cbrt.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (neg.f64 (sin.f64 x))))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 1)
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x))) 2)
(*.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)))) 3)
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.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 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(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 x 1/2)) (*.f64 x x)))
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (neg.f64 (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) (neg.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (/.f64 (sin.f64 x) x)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(neg.f64 (*.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (neg.f64 (sin.f64 x))) 1))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(neg.f64 (*.f64 1 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (neg.f64 (sin.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (/.f64 x (sin.f64 x))))
(*.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))
(fabs.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))
(log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) (sin.f64 x)))
(*.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))))))
(*.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))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3) (pow.f64 (/.f64 x (sin.f64 x)) 3)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))
(*.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)))))
(*.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))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))

localize9.0ms (0.1%)

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)

series1.0ms (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))

rewrite51.0ms (0.4%)

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))))))))

simplify49.0ms (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 3 expressions with local error:

NewErrorProgram
0.3b
(/.f64 1 (*.f64 x x))
2.6b
(-.f64 1 (cos.f64 x))
15.6b
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
Compiler

Compiled 27 to 13 computations (51.9% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite73.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1476×associate-*r/
1082×associate-*l/
892×*-commutative
712×associate-/r*
476×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
120923
2273423
Stop Event
node limit
Counts
1 → 175
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
Outputs
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simplify171.0ms (1.4%)

Algorithm
egg-herbie
Rules
1234×associate-/l*
704×times-frac
698×associate-/r*
540×distribute-lft-neg-in
500×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04847981
114197499
264337495
Stop Event
node limit
Counts
187 → 263
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 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(+.f64 (pow.f64 x -2) (*.f64 1 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))))
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(/.f64 (*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x -2)))) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.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) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) x)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.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 (pow.f64 x -2) (-.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 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 (cbrt.f64 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -1) 1) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -1) x) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -1) (cbrt.f64 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -1) -1) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -1) (sqrt.f64 (*.f64 x (neg.f64 x)))) (sqrt.f64 (*.f64 x (neg.f64 x))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -1) (*.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 (-.f64 1 (cos.f64 x)) -1) (neg.f64 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) 1) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (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 1 (cos.f64 x)) (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)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) 1) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x) (neg.f64 x))
(/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) -1) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x)))) (sqrt.f64 (*.f64 x (neg.f64 x))))
(/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x))))) (cbrt.f64 (*.f64 x (neg.f64 x))))
(/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (neg.f64 x)) x)
(/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (neg.f64 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 1)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3) 1/3)
(sqrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (pow.f64 x -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (-.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 -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 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (pow.f64 x -2) (*.f64 1 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.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 (exp.f64 (log1p.f64 (pow.f64 x -2))) (-.f64 1 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))))
(-.f64 (expm1.f64 (log1p.f64 (pow.f64 x -2))) (*.f64 (cos.f64 x) (pow.f64 x -2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) (+.f64 1 (/.f64 (cos.f64 x) (*.f64 x x))))
(-.f64 (expm1.f64 (log1p.f64 (pow.f64 x -2))) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 1 (/.f64 (*.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 1 (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 1 (/.f64 (*.f64 x x) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))))
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 1 (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) (-.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 (pow.f64 x -2) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 x (neg.f64 x))))
(/.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) (-.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 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (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 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (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 (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 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) (cbrt.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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 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 1 x) (/.f64 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 1 x) (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 1 (/.f64 (*.f64 x x) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))))
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (/.f64 1 x) (/.f64 (+.f64 x (*.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) (-.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 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 (*.f64 x x) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))))
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(/.f64 1 (/.f64 (*.f64 x x) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))))
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (*.f64 x x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) (-.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 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))
(*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) (-.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 -1 (/.f64 (*.f64 x (neg.f64 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 -1 (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 1 (/.f64 (*.f64 x x) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))))
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 -1 (/.f64 (*.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (*.f64 x (neg.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) (-.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 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))
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(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (pow.f64 x -2) (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)))) (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 2)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)))
(/.f64 (*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.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 x)) (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x))
(/.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (cos.f64 x))) x))
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (*.f64 x (neg.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (sqrt.f64 -1)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (sqrt.f64 -1))) (sqrt.f64 (*.f64 x (neg.f64 x))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x -2)))) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) 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 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (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 (pow.f64 x 4))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(/.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)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.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)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (pow.f64 x -2))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (pow.f64 x -2))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (pow.f64 x -2))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 (pow.f64 x -2) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.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 (pow.f64 x -2) (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 (pow.f64 x -2) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.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 (pow.f64 x -2) (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 (pow.f64 x -2) (+.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 (cos.f64 x)) x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (cbrt.f64 x)) (pow.f64 (cbrt.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 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 (cbrt.f64 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (fabs.f64 (cbrt.f64 x))) x))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -1) 1) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -1) x) (neg.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -1) (cbrt.f64 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -1) -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 (*.f64 (-.f64 1 (cos.f64 x)) -1) (sqrt.f64 (*.f64 x (neg.f64 x)))) (sqrt.f64 (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -1) (*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x))))) (cbrt.f64 (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -1) (neg.f64 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) 1) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (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)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (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 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (cbrt.f64 (pow.f64 x 4))))))
(/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) 1) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x) (neg.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))))
(/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) -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 (neg.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x)))) (sqrt.f64 (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x))))) (cbrt.f64 (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (neg.f64 x)) x)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (neg.f64 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))))
(pow.f64 (*.f64 (pow.f64 x -2) (-.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 (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 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 3)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3) 1/3)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(sqrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4)))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x -4)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (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))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (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 (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))
(exp.f64 (log.f64 (*.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))
(log1p.f64 (expm1.f64 (*.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))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)
0.1b
(/.f64 (cos.f64 x) x)
2.8b
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))
Compiler

Compiled 30 to 13 computations (56.7% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite68.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1224×associate-/l/
1130×associate-/r/
656×distribute-rgt-in
624×distribute-lft-in
488×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
122323
2337623
Stop Event
node limit
Counts
1 → 75
Calls
Call 1
Inputs
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)
Outputs
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simplify67.0ms (0.6%)

Algorithm
egg-herbie
Rules
1950×associate-/r*
1846×distribute-lft-in
712×associate-/l/
500×associate-/r/
374×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02693831
18093561
234253561
Stop Event
node limit
Counts
87 → 134
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 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (/.f64 1 x) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
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(+.f64 (pow.f64 x -2) (neg.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(+.f64 (pow.f64 x -2) (*.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x))))
(+.f64 (pow.f64 x -2) (*.f64 1 (neg.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 1))
(+.f64 (neg.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) (pow.f64 x -2))
(+.f64 (*.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x))) (pow.f64 x -2))
(-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))
(-.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 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(*.f64 (pow.f64 x -1/2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (-.f64 (/.f64 (pow.f64 x -1/2) x) (*.f64 (pow.f64 x -1/2) (/.f64 (cos.f64 x) x))))
(*.f64 (pow.f64 x -1/2) (-.f64 (/.f64 (pow.f64 x -1/2) x) (/.f64 (cos.f64 x) (*.f64 (sqrt.f64 x) x))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (-.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 x)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (cos.f64 x) x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 (pow.f64 x -2) (-.f64 1 (/.f64 (cos.f64 x) 1)))
(*.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 1 (neg.f64 x)))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 x) x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (-.f64 (/.f64 1 (*.f64 (cbrt.f64 x) x)) (/.f64 (cos.f64 x) (*.f64 (cbrt.f64 x) x))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 x)) (pow.f64 x -1/2))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x -1/2) x) (-.f64 (pow.f64 x -1/2) (/.f64 (cos.f64 x) (sqrt.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (neg.f64 x) x)) -1)
(*.f64 (/.f64 1 (neg.f64 x)) (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 x) x)) (-.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2)))) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (-.f64 (cos.f64 x) 1))))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (+.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (+.f64 x (/.f64 x (cos.f64 x)))) (*.f64 x (/.f64 x (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (+.f64 (neg.f64 x) (*.f64 x (neg.f64 (cos.f64 x))))) (*.f64 x (neg.f64 x)))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (+.f64 (neg.f64 x) (neg.f64 (/.f64 x (cos.f64 x))))) (*.f64 (neg.f64 x) (/.f64 x (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (cos.f64 x)))) (*.f64 (neg.f64 x) x))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (+.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) (*.f64 (neg.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 1 x)) (-.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -2)) (*.f64 (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (pow.f64 (/.f64 (cos.f64 x) x) 2)))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 1 x)) (+.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -2)) (*.f64 (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))) (-.f64 (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))) (pow.f64 x -2)))))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3)
(pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1)
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x -3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
Outputs
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 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 (*.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 (*.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 (*.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 (*.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)) (*.f64 x x)) (*.f64 (/.f64 1 x) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) (/.f64 (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 (cos.f64 x) x)) x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (/.f64 1 x) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (/.f64 1 x) (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) (/.f64 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)) x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (/.f64 1 x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (/.f64 1 x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x))))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) (/.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)) x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)) (/.f64 1 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (/.f64 1 x) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) (/.f64 (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 (cos.f64 x) x)) x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (/.f64 1 x) (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) (/.f64 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)) x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) (/.f64 1 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (/.f64 1 x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)) (/.f64 1 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (/.f64 1 x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x))))
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) (/.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)) x))
(+.f64 (pow.f64 x -2) (neg.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (pow.f64 x -2) (*.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x))))
(fma.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x)) (pow.f64 x -2))
(+.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))
(+.f64 (pow.f64 x -2) (*.f64 1 (neg.f64 (*.f64 (pow.f64 x -2) (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 (*.f64 (pow.f64 x -2) (cos.f64 x))) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (neg.f64 (*.f64 (pow.f64 x -2) (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 x) (/.f64 (cos.f64 x) (neg.f64 x))) (pow.f64 x -2))
(fma.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x)) (pow.f64 x -2))
(+.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x (neg.f64 x))))
(-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))
(/.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)) (*.f64 x x)))) 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)) (*.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 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 (-.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 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (pow.f64 x -1/2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))))
(*.f64 (pow.f64 x -1/2) (-.f64 (/.f64 (pow.f64 x -1/2) x) (*.f64 (pow.f64 x -1/2) (/.f64 (cos.f64 x) x))))
(*.f64 (pow.f64 x -1/2) (-.f64 (/.f64 (pow.f64 x -1/2) x) (*.f64 (/.f64 (cos.f64 x) x) (pow.f64 x -1/2))))
(*.f64 (pow.f64 x -1/2) (-.f64 (/.f64 (pow.f64 x -1/2) x) (/.f64 (cos.f64 x) (*.f64 (sqrt.f64 x) x))))
(*.f64 (pow.f64 x -1/2) (-.f64 (/.f64 (pow.f64 x -1/2) x) (/.f64 (cos.f64 x) (*.f64 x (sqrt.f64 x)))))
(*.f64 (pow.f64 x -1/2) (-.f64 (/.f64 (pow.f64 x -1/2) x) (/.f64 (/.f64 (cos.f64 x) x) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
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(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.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)) (*.f64 x x)) 3))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x -3)))
(cbrt.f64 (*.f64 (pow.f64 x -3) (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.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)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 1))
(/.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)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (/.f64 1 x) (-.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (cos.f64 x))))
0.2b
(*.f64 (/.f64 1 x) (cos.f64 x))
2.8b
(-.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (cos.f64 x)))
Compiler

Compiled 38 to 23 computations (39.5% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite112.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1568×associate-*l/
1032×*-commutative
894×associate-/r*
766×associate-/l*
588×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01063
121251
2290551
Stop Event
node limit
Counts
3 → 381
Calls
Call 1
Inputs
(-.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (cos.f64 x)))
(*.f64 (/.f64 1 x) (cos.f64 x))
(*.f64 (/.f64 1 x) (-.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (cos.f64 x))))
Outputs
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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 (-.f64 1 (cos.f64 x)) (*.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))))))))

simplify159.0ms (1.3%)

Algorithm
egg-herbie
Rules
1266×associate-/l/
1258×associate-/r*
1026×associate-*r*
732×associate-*l*
720×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
090522367
1247921321
Stop Event
node limit
Counts
417 → 604
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 1 (cos.f64 x)) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(+.f64 (*.f64 -1/2 x) (+.f64 (/.f64 1 x) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/720 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (cos.f64 x) x)
(/.f64 (cos.f64 x) x)
(/.f64 (cos.f64 x) x)
(/.f64 (cos.f64 x) x)
(/.f64 (cos.f64 x) x)
(/.f64 (cos.f64 x) x)
(/.f64 (cos.f64 x) x)
(/.f64 (cos.f64 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 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 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x) (/.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
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(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
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(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))))
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(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x))))
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(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 1 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 1 (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 1 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x))))
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(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)) 1))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x) (/.f64 (cos.f64 x) x)) 1))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)) 1))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) 1))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)) 1))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x))
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(+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (+.f64 (/.f64 1 x) (fma.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x) (/.f64 (cos.f64 x) x))))
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(/.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2))) (/.f64 (*.f64 x (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2))) (*.f64 (/.f64 x (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) (/.f64 (/.f64 x (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) (/.f64 (/.f64 x (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3))) (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3)))) (/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (pow.f64 x -2)))) (cbrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2))) (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2)))) (/.f64 (*.f64 x (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) (cbrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) (/.f64 (/.f64 x (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x -2))) x) (cbrt.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2)) x) (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3)) x) (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (pow.f64 x -2))))
(/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) (neg.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) (pow.f64 x -1/2)) (/.f64 x (-.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 (cos.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 (cos.f64 x) (neg.f64 x)))) (*.f64 x (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x)))))
(/.f64 (-.f64 (/.f64 (pow.f64 x -3) x) (*.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (pow.f64 (/.f64 (cos.f64 x) x) 2))) (*.f64 (*.f64 x (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (pow.f64 x -2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x -3) (pow.f64 x -3)) (*.f64 (pow.f64 (/.f64 (cos.f64 x) x) 3) (pow.f64 (/.f64 (cos.f64 x) x) 3))) (*.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (pow.f64 x -2)))) (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 3)) (*.f64 x (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 (cos.f64 x) (neg.f64 x))) (/.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) 3)) (*.f64 (*.f64 x (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) (+.f64 (/.f64 (pow.f64 x -3) x) (+.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (pow.f64 x -2)) (*.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (pow.f64 (/.f64 (cos.f64 x) x) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (pow.f64 (/.f64 (cos.f64 x) x) 3) 3)) (*.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (pow.f64 x -2)))) (+.f64 (*.f64 (pow.f64 x -3) (pow.f64 x -3)) (+.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 x) x) 3) (pow.f64 (/.f64 (cos.f64 x) x) 3)) (*.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3))))))
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x 3))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2)) -1) (*.f64 (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (neg.f64 x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3)) -1) (*.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (pow.f64 x -2))) (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2))) (*.f64 x (neg.f64 (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3))) (*.f64 x (neg.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (pow.f64 x -2))))))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (sqrt.f64 x))
(/.f64 (*.f64 (-.f64 (pow.f64 x -2) (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 (cos.f64 x) (neg.f64 x)))) (/.f64 1 x)) (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 3)) (/.f64 1 x)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 (cos.f64 x) (neg.f64 x))) (/.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x))))
(/.f64 (*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (/.f64 1 x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (/.f64 1 x)) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2))) (/.f64 1 x)) (neg.f64 (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3))) (/.f64 1 x)) (neg.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (pow.f64 x -2)))))
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2)) x) 1) (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3)) x) 1) (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (pow.f64 x -2))))
(/.f64 (*.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) 1) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) 1) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) 1) (cbrt.f64 x))
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2)) -1) 1) (*.f64 (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (neg.f64 x)))
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3)) -1) 1) (*.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (pow.f64 x -2))) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 1) (neg.f64 x))
(/.f64 (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (neg.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (pow.f64 x -2)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x)) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) (cbrt.f64 x))
(/.f64 (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x)))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x)) 1)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2)) x) 1) (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2)) x) (/.f64 1 x)) (+.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2)) x) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2)) x) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2)) x) (+.f64 1 (cos.f64 x))) (/.f64 1 x))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3)) x) 1) (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (pow.f64 x -2))))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3)) x) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (pow.f64 x -2))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (pow.f64 x -2)))))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3)) x) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (pow.f64 x -2)))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (pow.f64 x -2)))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (pow.f64 x -2)))))
(/.f64 (/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) 1) (neg.f64 x))
(/.f64 (/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) -1) x)
(/.f64 (/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) 1) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) 1) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 1) (neg.f64 x))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) -1) x)
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3))
(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))))
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)))))
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(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) (*.f64 x (*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))))))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2)) x) (+.f64 1 (cos.f64 x))) (/.f64 1 x))
(*.f64 (/.f64 1 (*.f64 x (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))) (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2)))
(*.f64 (/.f64 x (+.f64 1 (cos.f64 x))) (/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2)) x))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3)) x) 1) (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (pow.f64 x -2))))
(*.f64 (/.f64 1 (*.f64 x (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))))) (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3)))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3)) (*.f64 x (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3)) x) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (pow.f64 x -2))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (pow.f64 x -2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3)) x) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3)) (*.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x)))))) x))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3)) x) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (pow.f64 x -2)))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (pow.f64 x -2)))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (pow.f64 x -2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3)) x) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)))))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3)) (*.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))))))) x))
(/.f64 (/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) 1) (neg.f64 x))
(/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) (neg.f64 x))
(/.f64 (/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
(/.f64 (/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) -1) x)
(/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) (neg.f64 x))
(/.f64 (/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))))
(/.f64 (/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) (*.f64 (cbrt.f64 (neg.f64 x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))))
(/.f64 (/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
(/.f64 (/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) 1) (sqrt.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x))) (*.f64 x (sqrt.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (*.f64 x (sqrt.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) 1) (cbrt.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) (*.f64 x (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 1) (neg.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) -1) x)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x) (*.f64 (cbrt.f64 (neg.f64 x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (*.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) x))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x))))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

eval967.0ms (8.1%)

Compiler

Compiled 41484 to 21283 computations (48.7% saved)

prune905.0ms (7.6%)

Pruning

26 alts after pruning (18 fresh and 8 done)

PrunedKeptTotal
New188561891
Fresh41216
Picked101
Done088
Total1890261916
Error
0b
Counts
1916 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
30.2b
(/.f64 (/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) x) x)
30.9b
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
30.9b
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x))
30.2b
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
0.1b
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x)))
0.1b
(/.f64 (/.f64 1 x) (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))
30.2b
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
30.2b
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)
30.2b
(/.f64 (-.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (cos.f64 x))) x)
30.8b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
30.2b
(/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) x)
15.3b
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
31.0b
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
30.5b
(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))
30.6b
(/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
30.5b
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
32.5b
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
46.7b
(*.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (/.f64 1 x))
30.9b
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
47.8b
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (*.f64 1/2 x) x))
30.2b
(*.f64 (/.f64 1 x) (/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) x))
30.3b
(*.f64 (/.f64 1 x) (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))
31.6b
(*.f64 (/.f64 1 x) (*.f64 1/2 x))
30.9b
(*.f64 1/2 (/.f64 (sin.f64 x) x))
31.5b
1/2
46.0b
0
Compiler

Compiled 276 to 186 computations (32.6% saved)

regimes42.0ms (0.3%)

Counts
47 → 1
Calls
Call 1
Inputs
0
1/2
(*.f64 (/.f64 1 x) (*.f64 1/2 x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (*.f64 1/2 x) x))
(*.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (/.f64 1 x))
(*.f64 1/2 (/.f64 (sin.f64 x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(-.f64 (pow.f64 x -2) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) x)
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 1 x) (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))
(/.f64 (-.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (cos.f64 x))) x)
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x))
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
(/.f64 (/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) x) x)
(*.f64 (/.f64 1 x) (-.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (cos.f64 x))))
(*.f64 (/.f64 1 x) (/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) x))
(/.f64 (neg.f64 (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x (neg.f64 (*.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)))
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x 3))
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
(-.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 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))
(/.f64 (/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (+.f64 1 (cos.f64 x))) (*.f64 x x))
(*.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 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.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 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))
Outputs
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x)))
Calls

2 calls:

21.0ms
x
9.0ms
(/.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 539 to 283 computations (47.5% saved)

regimes30.0ms (0.3%)

Counts
35 → 1
Calls
Call 1
Inputs
0
1/2
(*.f64 (/.f64 1 x) (*.f64 1/2 x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (*.f64 1/2 x) x))
(*.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (/.f64 1 x))
(*.f64 1/2 (/.f64 (sin.f64 x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(-.f64 (pow.f64 x -2) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) x)
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 1 x) (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))
(/.f64 (-.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (cos.f64 x))) x)
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x))
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
(/.f64 (/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) x) x)
(*.f64 (/.f64 1 x) (-.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (cos.f64 x))))
(*.f64 (/.f64 1 x) (/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) x))
(/.f64 (neg.f64 (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x (neg.f64 (*.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)))
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x 3))
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
Outputs
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
Calls

2 calls:

16.0ms
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 354 to 178 computations (49.7% saved)

regimes59.0ms (0.5%)

Counts
33 → 3
Calls
Call 1
Inputs
0
1/2
(*.f64 (/.f64 1 x) (*.f64 1/2 x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (*.f64 1/2 x) x))
(*.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (/.f64 1 x))
(*.f64 1/2 (/.f64 (sin.f64 x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(-.f64 (pow.f64 x -2) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) x)
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (/.f64 1 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 1 x) (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))
(/.f64 (-.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (cos.f64 x))) x)
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x))
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
(/.f64 (/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) x) x)
(*.f64 (/.f64 1 x) (-.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (cos.f64 x))))
(*.f64 (/.f64 1 x) (/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) x))
(/.f64 (neg.f64 (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x (neg.f64 (*.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)))
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x 3))
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
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) (/.f64 1 x))
Calls

2 calls:

41.0ms
x
10.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.2b3x
15.3b2(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 332 to 168 computations (49.4% saved)

bsearch38.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
9.000515221099082e-7
637.5888348792591
20.0ms
-7.977397907758398
-0.00010863449570688669
Results
34.0ms288×body256valid
Compiler

Compiled 373 to 279 computations (25.2% saved)

regimes29.0ms (0.2%)

Counts
12 → 3
Calls
Call 1
Inputs
0
1/2
(*.f64 (/.f64 1 x) (*.f64 1/2 x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (*.f64 1/2 x) x))
(*.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (/.f64 1 x))
(*.f64 1/2 (/.f64 (sin.f64 x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(-.f64 (pow.f64 x -2) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
Outputs
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 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
5.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.2b3x
15.3b2(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 101 to 60 computations (40.6% saved)

bsearch37.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
9.000515221099082e-7
637.5888348792591
19.0ms
-7.977397907758398
-0.00010863449570688669
Results
33.0ms288×body256valid
Compiler

Compiled 355 to 261 computations (26.5% saved)

regimes22.0ms (0.2%)

Counts
8 → 3
Calls
Call 1
Inputs
0
1/2
(*.f64 (/.f64 1 x) (*.f64 1/2 x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (*.f64 1/2 x) x))
(*.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (/.f64 1 x))
(*.f64 1/2 (/.f64 (sin.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:

16.0ms
x
5.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.4b3x
15.4b2(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 64 to 41 computations (35.9% saved)

bsearch37.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
9.000515221099082e-7
637.5888348792591
18.0ms
-7.977397907758398
-0.00010863449570688669
Results
33.0ms288×body256valid
Compiler

Compiled 355 to 261 computations (26.5% saved)

regimes18.0ms (0.1%)

Accuracy

Total -47.7b remaining (-305.9%)

Threshold costs -47.7b (-305.9%)

Counts
7 → 3
Calls
Call 1
Inputs
0
1/2
(*.f64 (/.f64 1 x) (*.f64 1/2 x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (*.f64 1/2 x) x))
(*.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (/.f64 1 x))
(*.f64 1/2 (/.f64 (sin.f64 x) x))
Outputs
0
1/2
0
Calls

1 calls:

16.0ms
x
Results
ErrorSegmentsBranch
15.6b3x
Compiler

Compiled 47 to 31 computations (34% saved)

bsearch63.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
38.0ms
9.048097899011145e+71
1.0999895630092647e+78
25.0ms
-6.091417566312802e+80
-5.6600650430022876e+76
Results
46.0ms160×body512valid
13.0ms112×body256valid
Compiler

Compiled 115 to 111 computations (3.5% saved)

simplify13.0ms (0.1%)

Algorithm
egg-herbie
Rules
10×*-commutative
+-commutative
sub-neg
if-if-or-not
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044327
160327
264327
366327
467327
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(if (<=.f64 x -3170534137668829/576460752303423488) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 3170534137668829/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))))
(if (<=.f64 x -3170534137668829/576460752303423488) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 3170534137668829/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(if (<=.f64 x -3170534137668829/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 3170534137668829/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(if (<=.f64 x -85999999999999995691093736501120951849209691933607491457341334329602202402816) 0 (if (<=.f64 x 80000000000000003764810759672437567132476811262933046114229676279185996251136) 1/2 0))
0
Outputs
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(if (<=.f64 x -3170534137668829/576460752303423488) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 3170534137668829/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))))
(if (<=.f64 x -3170534137668829/576460752303423488) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 3170534137668829/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(if (<=.f64 x -3170534137668829/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 3170534137668829/576460752303423488) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(if (or (<=.f64 x -3170534137668829/576460752303423488) (not (<=.f64 x 3170534137668829/576460752303423488))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))))
(if (<=.f64 x -85999999999999995691093736501120951849209691933607491457341334329602202402816) 0 (if (<=.f64 x 80000000000000003764810759672437567132476811262933046114229676279185996251136) 1/2 0))
0
Compiler

Compiled 129 to 88 computations (31.8% saved)

soundness83.0ms (0.7%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
03215119
18904897
239464843
Stop Event
node limit
Compiler

Compiled 74 to 35 computations (52.7% saved)

end63.0ms (0.5%)

Compiler

Compiled 123 to 77 computations (37.4% saved)

Profiling

Loading profile data...