Details

Time bar (total: 11.3s)

analyze80.0ms (0.7%)

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)

sample2.7s (24.2%)

Results
1.3s2053×body2048valid
531.0ms3378×body256valid
446.0ms1171×body1024valid
345.0ms1539×body512valid
115.0ms115×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 (0.4%)

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
35.7b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
35.7b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
1.6b
(-.f64 1 (cos.f64 x))
15.4b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 20 to 9 computations (55% saved)

series1.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite79.0ms (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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simplify90.0ms (0.8%)

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

Useful iterations: 2 (0.0ms)

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

eval94.0ms (0.8%)

Compiler

Compiled 4007 to 2144 computations (46.5% saved)

prune35.0ms (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
35.0b
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
35.2b
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
16.3b
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (*.f64 x x))
16.0b
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 x x))
16.1b
(/.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 x x))
35.7b
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
35.7b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
16.0b
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x x))
42.4b
(/.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 x x))
15.8b
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
35.7b
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
27.4b
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
35.4b
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
35.0b
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
35.7b
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
26.7b
1/2
Compiler

Compiled 359 to 246 computations (31.5% saved)

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
15.2b
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
Compiler

Compiled 33 to 18 computations (45.5% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite113.0ms (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
01154
123954
2332754
Stop Event
node limit
Counts
2 → 100
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
Outputs
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simplify77.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.4b
(*.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))

rewrite53.0ms (0.5%)

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))))))))

simplify38.0ms (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))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (-.f64 1 (cos.f64 x)) x)
0.4b
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
1.6b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 28 to 16 computations (42.9% saved)

series1.0ms (0%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
0.0ms
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))

rewrite89.0ms (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 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (neg.f64 x)) (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (neg.f64 (*.f64 x x)) (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (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 (pow.f64 x -1/2) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/2) (/.f64 (/.f64 x (-.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 x (-.f64 1 (cos.f64 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 x (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (cbrt.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (*.f64 x x) (cbrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 x (*.f64 (/.f64 1 x) (cbrt.f64 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -2) (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 x (+.f64 x (*.f64 x (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x (+.f64 x (*.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 x (neg.f64 x)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (neg.f64 (*.f64 x x)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 x (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (cos.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (cos.f64 x)) (/.f64 (neg.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (cos.f64 x)) (/.f64 (*.f64 (neg.f64 x) (neg.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (+.f64 -1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (neg.f64 (*.f64 x x)) (sqrt.f64 (+.f64 -1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) (/.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 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simplify96.0ms (0.8%)

Algorithm
egg-herbie
Rules
1444×associate-/l*
1088×times-frac
1020×associate-/r*
712×associate-/l/
654×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061510371
118509903
Stop Event
node limit
Counts
255 → 357
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 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 (pow.f64 x -2) (*.f64 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x))))
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x)))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 (*.f64 x (neg.f64 x)) (+.f64 -1 (cos.f64 x))))
(/.f64 1 (/.f64 (neg.f64 (*.f64 x x)) (+.f64 -1 (cos.f64 x))))
(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 (neg.f64 x))))
(/.f64 1 (*.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) -1))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (pow.f64 x -1/2) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (pow.f64 x -1/2)))
(/.f64 (pow.f64 x -1/2) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (sqrt.f64 x)))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 x (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (pow.f64 x -1/2)))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 x)))
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)))
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
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(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))))
(+.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)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 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 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))
(*.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 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (cbrt.f64 (/.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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (/.f64 1 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (pow.f64 x -1/2))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) -1)
(*.f64 (/.f64 -1 x) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.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 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.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 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.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 (/.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)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (*.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 (/.f64 1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) 1/3)
(pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1)
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(fma.f64 1 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x)))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (neg.f64 (/.f64 (cos.f64 x) x)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x)) (neg.f64 (/.f64 (cos.f64 x) x)))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 1/2 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 (pow.f64 x -2) (*.f64 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x))))
(+.f64 (pow.f64 x -2) (/.f64 (neg.f64 (/.f64 (cos.f64 x) x)) x))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x)))
(+.f64 (pow.f64 x -2) (/.f64 (neg.f64 (/.f64 (cos.f64 x) x)) x))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(+.f64 (pow.f64 x -2) (/.f64 (neg.f64 (/.f64 (cos.f64 x) x)) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.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 1 (/.f64 (neg.f64 (*.f64 x x)) (+.f64 -1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 1 (*.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 1 (*.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))))
(/.f64 (/.f64 1 x) (*.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.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)) (pow.f64 x -2))
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (pow.f64 x -1/2) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (/.f64 (*.f64 x (sqrt.f64 x)) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 x -1/2) (*.f64 x (sqrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (pow.f64 x -1/2)))
(*.f64 (/.f64 (pow.f64 x -1/2) (/.f64 x (-.f64 1 (cos.f64 x)))) (pow.f64 x -1/2))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1)) x)
(/.f64 (pow.f64 x -1/2) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (sqrt.f64 x)))
(/.f64 (pow.f64 x -1/2) (/.f64 (*.f64 x (sqrt.f64 x)) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 x -1/2) (*.f64 x (sqrt.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 x (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (pow.f64 x -1/2)))
(*.f64 (pow.f64 x -1/2) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 x)))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x (*.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (sqrt.f64 x))))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 x))
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))))
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x -2))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 x (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) x) (-.f64 1 (cos.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (cbrt.f64 (/.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 x (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) x) (-.f64 1 (cos.f64 x))))
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(*.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))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (/.f64 1 x) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1))
(*.f64 (/.f64 1 x) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 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)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x))) (sqrt.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 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x))) (sqrt.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 (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)))
(*.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 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 x) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 x) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (*.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 x) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 x (sin.f64 x))) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x) (/.f64 (-.f64 1 (*.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3)))
(/.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x) (+.f64 1 (-.f64 (*.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1))))) (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)) 3)))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 3)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) 1/3)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 x 3)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(fma.f64 1 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (neg.f64 (/.f64 (cos.f64 x) x)))
(-.f64 (pow.f64 x -1) (/.f64 (cos.f64 x) x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x)) (neg.f64 (/.f64 (cos.f64 x) x)))
(-.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -2))) (/.f64 (cos.f64 x) x))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
0.1b
(/.f64 x (-.f64 1 (cos.f64 x)))
0.4b
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
1.6b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 34 to 19 computations (44.1% saved)

series4.0ms (0%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/.f64 x (-.f64 1 (cos.f64 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)
0.0ms
x
@0
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
0.0ms
x
@inf
(/.f64 x (-.f64 1 (cos.f64 x)))

rewrite107.0ms (0.9%)

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) ((x *.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1) (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 -1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (+.f64 -1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 x x) 1)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (*.f64 x x))) (+.f64 -1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) -1) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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simplify143.0ms (1.3%)

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

localize47.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))
0.3b
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))
0.4b
(+.f64 1 (cos.f64 x))
15.2b
(/.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 x x))
Compiler

Compiled 45 to 19 computations (57.8% saved)

series4.0ms (0%)

Counts
4 → 40
Calls

12 calls:

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

rewrite375.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
1832×associate-/r/
1492×associate-/l/
604×distribute-lft-in
268×add-sqr-sqrt
262×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012106
126062
2391162
Stop Event
node limit
Counts
4 → 326
Calls
Call 1
Inputs
(/.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 x x))
(+.f64 1 (cos.f64 x))
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))
Outputs
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simplify463.0ms (4.1%)

Algorithm
egg-herbie
Rules
1718×associate-*r*
1404×associate-*l*
1306×associate-/l*
1154×*-commutative
1098×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078712564
1246712302
Stop Event
node limit
Counts
366 → 499
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 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2)))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
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(+.f64 (cos.f64 x) 1)
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(+.f64 (cos.f64 x) 1)
(*.f64 1/2 (pow.f64 x 2))
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(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
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(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 2 x)
(+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))
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(/.f64 (+.f64 (cos.f64 x) 1) (sin.f64 x))
(/.f64 (+.f64 (cos.f64 x) 1) (sin.f64 x))
(/.f64 (+.f64 (cos.f64 x) 1) (sin.f64 x))
(/.f64 (+.f64 (cos.f64 x) 1) (sin.f64 x))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
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(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)
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(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)
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(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2))
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(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
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(*.f64 (/.f64 (sin.f64 x) 1) (*.f64 (pow.f64 x -2) (tan.f64 (/.f64 x 2))))
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(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 x x)) (*.f64 (tan.f64 (/.f64 x 2)) (sqrt.f64 (sin.f64 x))))
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(*.f64 (*.f64 (pow.f64 x -2) (tan.f64 (/.f64 x 2))) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4))) (/.f64 (tan.f64 (/.f64 x 2)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)))
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(*.f64 (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 x))) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (sin.f64 x) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(*.f64 (*.f64 -1 (tan.f64 (/.f64 x 2))) (neg.f64 (sin.f64 x)))
(*.f64 (*.f64 (tan.f64 (/.f64 x 2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (*.f64 (tan.f64 (/.f64 x 2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) 2)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (cbrt.f64 (tan.f64 (/.f64 x 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) 1) (tan.f64 (/.f64 x 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (sqrt.f64 (tan.f64 (/.f64 x 2)))) (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) 1) (sqrt.f64 (tan.f64 (/.f64 x 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) (/.f64 (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) -1) (neg.f64 (tan.f64 (/.f64 x 2))))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (-.f64 -1 (cos.f64 x)))) (neg.f64 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x)))) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (sin.f64 x)))) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (pow.f64 (sin.f64 x) 2) 1)) (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) 1)) (*.f64 (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 x)) (tan.f64 (/.f64 x 2))))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (tan.f64 (/.f64 x 2))))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (tan.f64 (/.f64 x 2)))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (/.f64 1 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) -1) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (pow.f64 (cos.f64 x) 2) 1)) (-.f64 (cos.f64 x) 1))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) -1) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (-.f64 -1 (cos.f64 x)))) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) 1) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (hypot.f64 1 (sqrt.f64 (cos.f64 x)))) (/.f64 (sin.f64 x) (hypot.f64 1 (sqrt.f64 (cos.f64 x)))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (pow.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (sin.f64 x) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (-.f64 -1 (cos.f64 x))) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x)))) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (sin.f64 x)))) (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) -1) (neg.f64 (tan.f64 (/.f64 x 2))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 (-.f64 -1 (cos.f64 x)))) (neg.f64 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (*.f64 (pow.f64 (sin.f64 x) 2) 1)) (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) 1)) (*.f64 (+.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) 1) (sqrt.f64 (tan.f64 (/.f64 x 2)))) 1) (sqrt.f64 (tan.f64 (/.f64 x 2))))
(*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) 1) (sqrt.f64 (tan.f64 (/.f64 x 2)))) (hypot.f64 1 (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) 1) (sqrt.f64 (tan.f64 (/.f64 x 2)))) (sqrt.f64 (-.f64 -1 (cos.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) 2)) 1) (cbrt.f64 (tan.f64 (/.f64 x 2))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) 2)) (cbrt.f64 (+.f64 1 (cos.f64 x)))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) 2)) (cbrt.f64 (-.f64 -1 (cos.f64 x)))) (cbrt.f64 (neg.f64 (sin.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)
(pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1)
(neg.f64 (*.f64 (/.f64 (sin.f64 x) -1) (tan.f64 (/.f64 x 2))))
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 3)))
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x))))
(exp.f64 (log.f64 (-.f64 1 (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 1 (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (*.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x)))
(+.f64 (*.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))) 1)
(*.f64 1 (/.f64 1 (tan.f64 (/.f64 x 2))))
(*.f64 (+.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 1)
(*.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) (*.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) (/.f64 1 (sin.f64 x))))
(*.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) 2) (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(*.f64 (-.f64 -1 (cos.f64 x)) (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x))))
(*.f64 -1 (/.f64 -1 (tan.f64 (/.f64 x 2))))
(*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (-.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (hypot.f64 1 (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) 2))) (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (hypot.f64 1 (sqrt.f64 (cos.f64 x))))) (hypot.f64 1 (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (sin.f64 x)) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (sin.f64 x)) (/.f64 1 (tan.f64 (/.f64 x 2))))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) 1) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 x)) (tan.f64 (/.f64 x 2)))))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 x)) (tan.f64 (/.f64 x 2)))))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (tan.f64 (/.f64 x 2))) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (neg.f64 (sin.f64 x))) (/.f64 -1 (tan.f64 (/.f64 x 2))))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (/.f64 (sin.f64 x) 1)) (/.f64 1 (tan.f64 (/.f64 x 2))))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (*.f64 (/.f64 (sin.f64 x) 1) (sqrt.f64 (tan.f64 (/.f64 x 2))))) (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) 2))) (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) -1) (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (neg.f64 (neg.f64 (sin.f64 x)))) (neg.f64 (/.f64 -1 (tan.f64 (/.f64 x 2)))))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.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 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (sin.f64 x))) (-.f64 1 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) (+.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (sin.f64 x))) (+.f64 1 (pow.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) 3))) (+.f64 1 (+.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (pow.f64 (cos.f64 x) 2)) (cos.f64 x))))
(pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 1)
(pow.f64 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 3) 1/3)
(pow.f64 (tan.f64 (/.f64 x 2)) -1)
(neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 2))
(log.f64 (exp.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))))
(cbrt.f64 (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))))
(exp.f64 (neg.f64 (log.f64 (tan.f64 (/.f64 x 2)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 (/.f64 x 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(+.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 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)))
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2
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(+.f64 (/.f64 1 (sin.f64 x)) (*.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x)))
(/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))) 1)
(/.f64 1 (tan.f64 (/.f64 x 2)))
(*.f64 1 (/.f64 1 (tan.f64 (/.f64 x 2))))
(/.f64 1 (tan.f64 (/.f64 x 2)))
(*.f64 (+.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))
(/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 1)
(/.f64 1 (tan.f64 (/.f64 x 2)))
(*.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) (*.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) (/.f64 1 (sin.f64 x))))
(*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) 2) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) 2))
(*.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))))
(pow.f64 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) 2)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x))))
(/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) 2))
(/.f64 1 (tan.f64 (/.f64 x 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) 2) (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))))
(/.f64 1 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (-.f64 -1 (cos.f64 x)) (/.f64 1 (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 -1 (/.f64 -1 (tan.f64 (/.f64 x 2))))
(/.f64 1 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (-.f64 -1 (cos.f64 x)))
(*.f64 (-.f64 -1 (cos.f64 x)) (/.f64 1 (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (hypot.f64 1 (sqrt.f64 (cos.f64 x))))
(*.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))))
(*.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) 2))) (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))))
(/.f64 1 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (hypot.f64 1 (sqrt.f64 (cos.f64 x))))) (hypot.f64 1 (sqrt.f64 (cos.f64 x))))
(*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) 2) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 x))) 2))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (sin.f64 x)) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (sin.f64 x)) (/.f64 1 (tan.f64 (/.f64 x 2))))
(/.f64 1 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) 1) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 x)) (tan.f64 (/.f64 x 2)))))
(*.f64 (/.f64 1 (*.f64 (tan.f64 (/.f64 x 2)) (sqrt.f64 (sin.f64 x)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)) (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)) (*.f64 (tan.f64 (/.f64 x 2)) (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 x)) (tan.f64 (/.f64 x 2)))))
(*.f64 (/.f64 1 (*.f64 (tan.f64 (/.f64 x 2)) (cbrt.f64 (sin.f64 x)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (tan.f64 (/.f64 x 2)) (cbrt.f64 (sin.f64 x)))))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (tan.f64 (/.f64 x 2))) (/.f64 1 (sin.f64 x)))
(/.f64 1 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (neg.f64 (sin.f64 x))) (/.f64 -1 (tan.f64 (/.f64 x 2))))
(/.f64 1 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (/.f64 (sin.f64 x) 1)) (/.f64 1 (tan.f64 (/.f64 x 2))))
(/.f64 1 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (*.f64 (/.f64 (sin.f64 x) 1) (sqrt.f64 (tan.f64 (/.f64 x 2))))) (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))))
(pow.f64 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) 2)
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) 2))) (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))))
(/.f64 1 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) -1) (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)) -1))
(/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) -1))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (neg.f64 (neg.f64 (sin.f64 x)))) (neg.f64 (/.f64 -1 (tan.f64 (/.f64 x 2)))))
(/.f64 1 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.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 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (sin.f64 x))) (-.f64 1 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) (+.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))
(*.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) (-.f64 1 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) (/.f64 (-.f64 1 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (+.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (sin.f64 x))) (+.f64 1 (pow.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) 3))) (+.f64 1 (+.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (pow.f64 (cos.f64 x) 2)) (cos.f64 x))))
(*.f64 (+.f64 1 (+.f64 (cos.f64 x) (-.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (pow.f64 (cos.f64 x) 2)))) (/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) (+.f64 1 (pow.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) 3))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) (/.f64 (+.f64 1 (pow.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) 3)) (+.f64 (+.f64 1 (cos.f64 x)) (-.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (pow.f64 (cos.f64 x) 2)))))
(pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 1)
(/.f64 1 (tan.f64 (/.f64 x 2)))
(pow.f64 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))) 3)
(/.f64 1 (tan.f64 (/.f64 x 2)))
(pow.f64 (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 3) 1/3)
(/.f64 1 (tan.f64 (/.f64 x 2)))
(pow.f64 (tan.f64 (/.f64 x 2)) -1)
(/.f64 1 (tan.f64 (/.f64 x 2)))
(neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (+.f64 1 (cos.f64 x))) (neg.f64 (sin.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 2))
(log.f64 (exp.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))))
(/.f64 1 (tan.f64 (/.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 (/.f64 x 2))))))
(/.f64 1 (tan.f64 (/.f64 x 2)))
(cbrt.f64 (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) 3))
(/.f64 1 (tan.f64 (/.f64 x 2)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))))
(/.f64 1 (tan.f64 (/.f64 x 2)))
(exp.f64 (neg.f64 (log.f64 (tan.f64 (/.f64 x 2)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 (/.f64 x 2)))) 1))
(exp.f64 (neg.f64 (log.f64 (tan.f64 (/.f64 x 2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 (/.f64 x 2)))))
(/.f64 1 (tan.f64 (/.f64 x 2)))

eval711.0ms (6.3%)

Compiler

Compiled 34988 to 19896 computations (43.1% saved)

prune569.0ms (5%)

Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New1765161781
Fresh6410
Picked101
Done325
Total1775221797
Error
0b
Counts
1797 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
34.9b
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
15.9b
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 (tan.f64 (/.f64 x 2)))) (*.f64 x x))
35.7b
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
35.7b
(/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
34.9b
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
34.9b
(/.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) (neg.f64 x))
41.4b
(/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x))))
35.7b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
35.0b
(/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 x))
42.4b
(/.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 x x))
35.7b
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
35.7b
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
35.2b
(/.f64 -1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x)))
35.4b
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
27.4b
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1))
27.4b
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
0.1b
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x))
16.0b
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2)))
35.7b
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
35.1b
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x))
27.1b
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
26.7b
1/2
Compiler

Compiled 463 to 326 computations (29.6% saved)

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 33 to 18 computations (45.5% saved)

series2.0ms (0%)

Counts
3 → 28
Calls

9 calls:

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

rewrite95.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1878×associate-/l*
1046×unswap-sqr
834×swap-sqr
436×associate-/l/
344×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01161
124261
2326861
Stop Event
node limit
Counts
3 → 268
Calls
Call 1
Inputs
(/.f64 (tan.f64 (/.f64 x 2)) x)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x))
Outputs
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simplify95.0ms (0.8%)

Algorithm
egg-herbie
Rules
1066×associate-/r*
1040×associate-/l*
988×associate-*r*
924×associate-/r/
866×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06679708
118189492
Stop Event
node limit
Counts
296 → 349
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 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 1 x))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 1)
(*.f64 1 (/.f64 (tan.f64 (*.f64 x 1/2)) x))
(*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 x)))
(*.f64 (/.f64 1 x) (tan.f64 (*.f64 x 1/2)))
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
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(/.f64 (/.f64 1 x) (/.f64 (/.f64 x (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 1 x) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (sin.f64 x)))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 x (/.f64 1 x)))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (neg.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 1 (neg.f64 x))))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (*.f64 (neg.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2)))) 1))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (*.f64 x x) (neg.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x))))
(/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)))
(/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 1 (neg.f64 x))))
(/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x x) (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (neg.f64 x) (/.f64 (sin.f64 x) x)))
(/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x))) 1))
(/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x (neg.f64 x)) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) (*.f64 x (cos.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x)) (sqrt.f64 (neg.f64 (sin.f64 x)))))
(/.f64 (sqrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (sqrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (/.f64 x (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))))
(/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x)) (cbrt.f64 (neg.f64 (sin.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))))) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) (/.f64 x (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 x (sqrt.f64 (/.f64 (sin.f64 x) x))))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (/.f64 x (cbrt.f64 (/.f64 (sin.f64 x) x))))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 x)) (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 x (*.f64 (cos.f64 (*.f64 x 1/2)) x)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 (*.f64 x x) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (*.f64 x (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 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 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 x) (/.f64 (sin.f64 x) x))) (sqrt.f64 x))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (sin.f64 x) x))) (cbrt.f64 x))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x)) (*.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 x)))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 x)))
(/.f64 (/.f64 (sin.f64 x) 1) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (cbrt.f64 x)))
(/.f64 -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 (neg.f64 x) (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 (/.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))) (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 (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 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 (*.f64 x 1/2)))) (*.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 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (neg.f64 (sin.f64 x))) (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)))))
Outputs
1/2
(+.f64 1/2 (*.f64 1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 1/24 (*.f64 x x)))
(fma.f64 1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/240 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/24 (*.f64 x x) (*.f64 1/240 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/240 (pow.f64 x 4) (*.f64 x (*.f64 x 1/24))))
(+.f64 1/2 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (+.f64 (*.f64 17/40320 (pow.f64 x 6)) (*.f64 1/240 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 1/24 (*.f64 x x) (fma.f64 17/40320 (pow.f64 x 6) (*.f64 1/240 (pow.f64 x 4)))))
(+.f64 (fma.f64 1/24 (*.f64 x x) 1/2) (fma.f64 1/240 (pow.f64 x 4) (*.f64 17/40320 (pow.f64 x 6))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
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 1 (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (*.f64 -1/6 x) x)))
(+.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)))
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(/.f64 (/.f64 (sin.f64 x) 1) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 x (sin.f64 x))) (/.f64 (tan.f64 (*.f64 1/2 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) (sin.f64 x))
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (sin.f64 x))) (/.f64 (tan.f64 (*.f64 1/2 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) (tan.f64 (*.f64 1/2 x)))
(/.f64 -1 (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x)) (sin.f64 x)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 -1 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (tan.f64 (*.f64 x 1/2))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 -1 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 (neg.f64 x) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 -1 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 x (neg.f64 (sin.f64 x)))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x 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 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x 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 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x 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 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.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 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) x) (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (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 (/.f64 (sin.f64 (*.f64 1/2 x)) x) (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (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 (sin.f64 (*.f64 1/2 x)) x) (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (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 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.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 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x 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 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x 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 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x 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 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (sin.f64 x))) (/.f64 (tan.f64 (*.f64 1/2 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) (tan.f64 (*.f64 1/2 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 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x 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 (/.f64 1 (sqrt.f64 x)) (/.f64 x (sin.f64 x))) (/.f64 (tan.f64 (*.f64 1/2 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) (sin.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 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (sin.f64 x))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)))
(*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 2) (*.f64 (/.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2))))
(/.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 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.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 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (sin.f64 x))) (/.f64 (tan.f64 (*.f64 1/2 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x))) (tan.f64 (*.f64 1/2 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 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.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 (/.f64 1 (sqrt.f64 x)) (/.f64 x (sin.f64 x))) (/.f64 (tan.f64 (*.f64 1/2 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) (sin.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 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (tan.f64 (*.f64 1/2 x)))) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) x) (tan.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 x x))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.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 1/2 x)) x) (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 x (*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) x) (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 x (*.f64 (cos.f64 (*.f64 x 1/2)) (neg.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) x) (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (neg.f64 (sin.f64 x))) (neg.f64 x))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 1)
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x) 2)
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) (*.f64 x x)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 3)
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3) 1/3)
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (/.f64 (sin.f64 x) x)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) (neg.f64 x))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (/.f64 x (sin.f64 x))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(neg.f64 (/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 x (neg.f64 x))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 2))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) 2))
(fabs.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 1))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 17 to 12 computations (29.4% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite53.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1344×add-sqr-sqrt
1322×*-un-lft-identity
1242×add-cube-cbrt
1224×add-cbrt-cube
1210×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0813
11641
219821
Stop Event
node limit
Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1/2)))))

simplify12.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113
Stop Event
saturated
Counts
13 → 1
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
1/2
Outputs
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.4b
(/.f64 1 (*.f64 x x))
1.6b
(-.f64 1 (cos.f64 x))
16.1b
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
Compiler

Compiled 27 to 13 computations (51.9% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite107.0ms (0.9%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01036
120930
2273430
Stop Event
node limit
Counts
2 → 198
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(/.f64 1 (*.f64 x x))
Outputs
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simplify153.0ms (1.3%)

Algorithm
egg-herbie
Rules
1480×associate-/l*
864×associate-*l*
772×associate-/r*
738×times-frac
690×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05148570
114807688
277867688
Stop Event
node limit
Counts
222 → 279
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))))
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(/.f64 (*.f64 (neg.f64 (-.f64 1 (cos.f64 x))) 1) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (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 (*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x))
(/.f64 (*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 (-.f64 1 (cos.f64 x)) x)) (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 (*.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)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1)
(*.f64 1 (pow.f64 x -2))
(*.f64 (pow.f64 x -2) 1)
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 1 x) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (/.f64 1 x) (/.f64 1 x))
(*.f64 -1 (*.f64 (pow.f64 x -2) -1))
(*.f64 (*.f64 (pow.f64 x -2) -1) -1)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1))
(pow.f64 x -2)
(pow.f64 (*.f64 x x) -1)
(pow.f64 (pow.f64 x -2) 1)
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)
(pow.f64 (/.f64 1 x) 2)
(sqrt.f64 (/.f64 1 (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 (pow.f64 x -2) 3))
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(exp.f64 (log.f64 (pow.f64 x -2)))
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (*.f64 1/720 (pow.f64 x 4)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 1 (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) (*.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 (-.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 (exp.f64 (log1p.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 (exp.f64 (log1p.f64 (pow.f64 x -2))) (+.f64 1 (/.f64 (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 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 (*.f64 x x) (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (/.f64 (sin.f64 x) 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 x (*.f64 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 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 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 (*.f64 x x) (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (tan.f64 (/.f64 x 2)) (/.f64 (/.f64 (sin.f64 x) x) x))
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(*.f64 (/.f64 1 (*.f64 x (*.f64 x (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
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(*.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))
(-.f64 (exp.f64 (log1p.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 (pow.f64 x -2) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 1 x) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (/.f64 (/.f64 1 x) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (/.f64 1 x) (/.f64 1 x))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 -1 (*.f64 (pow.f64 x -2) -1))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (*.f64 (pow.f64 x -2) -1) -1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 (pow.f64 x 4)))
(pow.f64 x -2)
(/.f64 1 (*.f64 x x))
(pow.f64 (*.f64 x x) -1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (pow.f64 x -2) 1)
(/.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 (pow.f64 x -2) 3) 1/3)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (/.f64 1 x) 2)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(sqrt.f64 (/.f64 1 (pow.f64 x 4)))
(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 (pow.f64 x -2) 3))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(exp.f64 (log.f64 (pow.f64 x -2)))
(/.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)

localize25.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 x))
0.4b
(*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x)))
1.6b
(+.f64 -1 (cos.f64 x))
Compiler

Compiled 34 to 20 computations (41.2% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite90.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1140×*-commutative
938×associate-/r/
732×associate-/l/
502×distribute-lft-in
470×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01255
125851
2365651
Stop Event
node limit
Counts
3 → 227
Calls
Call 1
Inputs
(+.f64 -1 (cos.f64 x))
(*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x)))
(/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 0 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 -1 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (exp.f64 (log1p.f64 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (sqrt.f64 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (cbrt.f64 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (-.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (cos.f64 x)) 1) (+.f64 1 (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 -1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)) 3))) (+.f64 1 (*.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)) (-.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 -1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 -1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1))) (-.f64 -1 (pow.f64 (cos.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 x) 2) 1) (-.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 x) 2) 1) (*.f64 1 (-.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (-.f64 -1 (cos.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (-.f64 (pow.f64 (cos.f64 x) 3) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (-.f64 -1 (cos.f64 x)) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 3))) (+.f64 -1 (neg.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 0 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 x) (/.f64 (cos.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 -1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 x) (/.f64 (cos.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 -1 (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 (/.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 (+.f64 (/.f64 (cos.f64 x) x) (exp.f64 (log1p.f64 (/.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (/.f64 -1 x)) (/.f64 (cos.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (/.f64 (cos.f64 x) x)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 x (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (cos.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (+.f64 -1 (cos.f64 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 (+.f64 -1 (cos.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 x (sqrt.f64 (+.f64 -1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 -1 (/.f64 x (sqrt.f64 (+.f64 -1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 1 (/.f64 x (sqrt.f64 (+.f64 -1 (cos.f64 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simplify88.0ms (0.8%)

Algorithm
egg-herbie
Rules
880×associate-*r*
848×associate-*l*
836×associate-/l*
828×times-frac
716×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05248241
116077541
Stop Event
node limit
Counts
263 → 362
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/40320 (pow.f64 x 8)))))
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/720 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/40320 (pow.f64 x 7)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/720 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 (cos.f64 x) 1) x)
(/.f64 (-.f64 (cos.f64 x) 1) x)
(/.f64 (-.f64 (cos.f64 x) 1) x)
(/.f64 (-.f64 (cos.f64 x) 1) x)
(/.f64 (-.f64 (cos.f64 x) 1) x)
(/.f64 (-.f64 (cos.f64 x) 1) x)
(/.f64 (-.f64 (cos.f64 x) 1) x)
(/.f64 (-.f64 (cos.f64 x) 1) 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 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(-.f64 (exp.f64 (log.f64 (+.f64 0 (cos.f64 x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 2)
(-.f64 (/.f64 1 (-.f64 -1 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 -1 (cos.f64 x))))
(-.f64 (+.f64 -1 (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
(*.f64 (+.f64 -1 (cos.f64 x)) 1)
(*.f64 1 (+.f64 -1 (cos.f64 x)))
(*.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (sqrt.f64 (+.f64 -1 (cos.f64 x))))
(*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (cbrt.f64 (+.f64 -1 (cos.f64 x))))
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (-.f64 -1 (cos.f64 x))))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)))))
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 x)) 1))
(*.f64 (-.f64 (sqrt.f64 (cos.f64 x)) 1) (+.f64 1 (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 1 (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)))) (+.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 (cos.f64 x) (+.f64 -1 (cos.f64 x)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)) 3))) (+.f64 1 (*.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)) (-.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)) 1))))
(/.f64 (+.f64 -1 (cos.f64 x)) 1)
(/.f64 1 (/.f64 1 (+.f64 -1 (cos.f64 x))))
(/.f64 1 (/.f64 (-.f64 -1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 -1 (cos.f64 x)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1))) (-.f64 -1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) 1) (-.f64 (cos.f64 x) -1))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) 1) (*.f64 1 (-.f64 (cos.f64 x) -1)))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (-.f64 -1 (cos.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (-.f64 (pow.f64 (cos.f64 x) 3) -1)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (-.f64 -1 (cos.f64 x)) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 2))))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 x) 1))
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 3))) (+.f64 -1 (neg.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)))))
(pow.f64 (+.f64 -1 (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3) 1/3)
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) -1))
(sqrt.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 -1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3))
(expm1.f64 (log.f64 (+.f64 0 (cos.f64 x))))
(exp.f64 (log.f64 (+.f64 -1 (cos.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 -1 (cos.f64 x))))
(fma.f64 1 (cos.f64 x) -1)
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) -1)
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(*.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 (/.f64 -1 x) (/.f64 x (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2))) (cbrt.f64 (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 -1 x) (/.f64 x (sqrt.f64 (+.f64 -1 (cos.f64 x))))) (sqrt.f64 (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (+.f64 (*.f64 x x) 0)) x)
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (+.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0))
(*.f64 (/.f64 (pow.f64 x -1/2) (/.f64 x (+.f64 -1 (cos.f64 x)))) (pow.f64 x -1/2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (+.f64 -1 (cos.f64 x)))) (cbrt.f64 (/.f64 -1 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 (neg.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) x)) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) x))
(*.f64 (neg.f64 (pow.f64 x -1/2)) (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))))
(*.f64 (neg.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 (neg.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 (neg.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))))
(*.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 x))) (/.f64 (pow.f64 x -1/2) x))
(*.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (/.f64 -1 x) (cbrt.f64 x)))
(*.f64 (neg.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 (neg.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 (neg.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 (neg.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 (neg.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)) (pow.f64 x -2))))
(pow.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3)
(pow.f64 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))) -1)
(neg.f64 (*.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))))
(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) (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 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 1/24 (pow.f64 x 4) (*.f64 -1/2 (*.f64 x x)))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6))))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/40320 (pow.f64 x 8)))))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/720 (pow.f64 x 6) (*.f64 1/40320 (pow.f64 x 8)))))
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(fma.f64 -1/2 x (*.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/24 (pow.f64 x 3) (*.f64 -1/2 x))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/720 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 -1/2 x (fma.f64 -1/720 (pow.f64 x 5) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 -1/2 x (fma.f64 1/24 (pow.f64 x 3) (*.f64 -1/720 (pow.f64 x 5))))
(+.f64 (*.f64 1/40320 (pow.f64 x 7)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/720 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/40320 (pow.f64 x 7) (fma.f64 -1/2 x (fma.f64 -1/720 (pow.f64 x 5) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/40320 (pow.f64 x 7) (fma.f64 -1/2 x (fma.f64 1/24 (pow.f64 x 3) (*.f64 -1/720 (pow.f64 x 5)))))
(/.f64 (-.f64 (cos.f64 x) 1) x)
(/.f64 (+.f64 (cos.f64 x) -1) x)
(/.f64 (-.f64 (cos.f64 x) 1) x)
(/.f64 (+.f64 (cos.f64 x) -1) x)
(/.f64 (-.f64 (cos.f64 x) 1) x)
(/.f64 (+.f64 (cos.f64 x) -1) x)
(/.f64 (-.f64 (cos.f64 x) 1) x)
(/.f64 (+.f64 (cos.f64 x) -1) x)
(/.f64 (-.f64 (cos.f64 x) 1) x)
(/.f64 (+.f64 (cos.f64 x) -1) x)
(/.f64 (-.f64 (cos.f64 x) 1) x)
(/.f64 (+.f64 (cos.f64 x) -1) x)
(/.f64 (-.f64 (cos.f64 x) 1) x)
(/.f64 (+.f64 (cos.f64 x) -1) x)
(/.f64 (-.f64 (cos.f64 x) 1) x)
(/.f64 (+.f64 (cos.f64 x) -1) x)
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/720)))
(+.f64 (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))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 (pow.f64 x 4) 1/720 (*.f64 (pow.f64 x 6) -1/40320)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(-.f64 (exp.f64 (log.f64 (+.f64 0 (cos.f64 x)))) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 2)
(+.f64 (exp.f64 (log1p.f64 (cos.f64 x))) -2)
(+.f64 -1 (expm1.f64 (log1p.f64 (cos.f64 x))))
(-.f64 (/.f64 1 (-.f64 -1 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 -1 (cos.f64 x))))
(-.f64 (+.f64 -1 (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
(+.f64 (exp.f64 (log1p.f64 (cos.f64 x))) -2)
(+.f64 -1 (expm1.f64 (log1p.f64 (cos.f64 x))))
(*.f64 (+.f64 -1 (cos.f64 x)) 1)
(+.f64 (cos.f64 x) -1)
(*.f64 1 (+.f64 -1 (cos.f64 x)))
(+.f64 (cos.f64 x) -1)
(*.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (sqrt.f64 (+.f64 -1 (cos.f64 x))))
(+.f64 (cos.f64 x) -1)
(*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2))
(+.f64 (cos.f64 x) -1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (cbrt.f64 (+.f64 -1 (cos.f64 x))))
(+.f64 (cos.f64 x) -1)
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (-.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 1 (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 x))))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1) 1))
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 x)) 1))
(+.f64 (cos.f64 x) -1)
(*.f64 (-.f64 (sqrt.f64 (cos.f64 x)) 1) (+.f64 1 (sqrt.f64 (cos.f64 x))))
(+.f64 (cos.f64 x) -1)
(*.f64 (/.f64 1 (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1) 1))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 -1 (cos.f64 x)))
(+.f64 (cos.f64 x) -1)
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 -1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x))) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1))))
(*.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 -1 (pow.f64 (cos.f64 x) 3)) (sin.f64 x))) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (+.f64 (cos.f64 x) 1))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 (cos.f64 x) 2)) (-.f64 -1 (cos.f64 x))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)) 3))) (+.f64 1 (*.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)) (-.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)) 1))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (*.f64 (+.f64 (cos.f64 x) 1) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1) -1))))) (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)) 3)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (fma.f64 (cos.f64 x) (*.f64 (+.f64 (cos.f64 x) 1) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1) -1)) 1))
(/.f64 (+.f64 -1 (cos.f64 x)) 1)
(+.f64 (cos.f64 x) -1)
(/.f64 1 (/.f64 1 (+.f64 -1 (cos.f64 x))))
(+.f64 (cos.f64 x) -1)
(/.f64 1 (/.f64 (-.f64 -1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (/.f64 1 (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1) 1))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 1 (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1) 1))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1))) (-.f64 -1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)))) (-.f64 -1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 6)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1) 1)) (-.f64 -1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) 1) (-.f64 (cos.f64 x) -1))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) -1) (+.f64 (cos.f64 x) 1))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 (neg.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) 1) (*.f64 1 (-.f64 (cos.f64 x) -1)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) -1) (+.f64 (cos.f64 x) 1))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 (neg.f64 x) 2)))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (-.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 (cos.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (-.f64 (pow.f64 (cos.f64 x) 3) -1)))))
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(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 (pow.f64 x -1/2) x))
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -1 x) (cbrt.f64 x)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 -1 x) (cbrt.f64 x)) (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 x)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 x))))
(*.f64 (+.f64 (cos.f64 x) -1) (pow.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 (cos.f64 x) -1) (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) (cbrt.f64 x))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x -2))
(*.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))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) 2) -1) (neg.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) x)))
(*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x -2))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) 2) -1))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) 2) 1))
(*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x -2))
(*.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 (cos.f64 x) -1) (pow.f64 x -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) 2) 1) (neg.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) x)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 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 (cos.f64 x) -1) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (sqrt.f64 x)))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) 2) (sqrt.f64 x)) (neg.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) (sqrt.f64 x))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) 2) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (sqrt.f64 x)))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x (sqrt.f64 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)) (pow.f64 x -2))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2)))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x -2))) (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 -1 (/.f64 x (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)))) (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 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)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 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 (cos.f64 x) -1) (pow.f64 x -2))
(*.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 (cos.f64 x) -1) (pow.f64 x -2))
(*.f64 (/.f64 (/.f64 -1 x) (/.f64 x (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2))) (cbrt.f64 (+.f64 -1 (cos.f64 x))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 -1 x) (/.f64 x (sqrt.f64 (+.f64 -1 (cos.f64 x))))) (sqrt.f64 (+.f64 -1 (cos.f64 x))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (+.f64 (*.f64 x x) 0)) x)
(*.f64 x (/.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x 3)))
(/.f64 (*.f64 x (+.f64 (cos.f64 x) -1)) (pow.f64 x 3))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (+.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0))
(*.f64 (*.f64 x x) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (pow.f64 x 3) x)))
(*.f64 (*.f64 x x) (/.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x 4)))
(*.f64 (/.f64 (pow.f64 x -1/2) (/.f64 x (+.f64 -1 (cos.f64 x)))) (pow.f64 x -1/2))
(*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x -2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (+.f64 -1 (cos.f64 x)))) (cbrt.f64 (/.f64 -1 x)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 -1 x))) (/.f64 x (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (*.f64 (+.f64 (cos.f64 x) -1) (cbrt.f64 (/.f64 -1 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 (cos.f64 x) -1) (pow.f64 x -2))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) x)) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) x))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 (neg.f64 (pow.f64 x -1/2)) (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 (neg.f64 (+.f64 (cos.f64 x) -1)) (sqrt.f64 x)) (/.f64 (pow.f64 x -1/2) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 (pow.f64 x -1/2) x))
(*.f64 (neg.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))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 (neg.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))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 (neg.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 x))) (/.f64 (pow.f64 x -1/2) x))
(*.f64 (/.f64 (neg.f64 (+.f64 (cos.f64 x) -1)) (sqrt.f64 x)) (/.f64 (pow.f64 x -1/2) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 (pow.f64 x -1/2) x))
(*.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (/.f64 -1 x) (cbrt.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x -2))
(*.f64 (neg.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)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 (neg.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 (cos.f64 x) -1) (pow.f64 x -2))
(*.f64 (neg.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))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 (neg.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)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 (neg.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)) (pow.f64 x -2))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x -2))) (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2))) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2)) 1)
(*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x -2))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) x) 2)
(*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x -2))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2))) 3)
(*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x -2))
(pow.f64 (pow.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3)
(*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x -2))
(pow.f64 (/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x))) -1)
(*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x -2))
(neg.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2)) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x -2)) 2))
(fabs.f64 (*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x -2)))
(log.f64 (exp.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2)))))
(*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x -2))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2)) 3))
(*.f64 (+.f64 (cos.f64 x) -1) (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 (/.f64 (+.f64 (cos.f64 x) -1) x) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) -1) 3) (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x -2))
(exp.f64 (log.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (+.f64 (cos.f64 x) -1) (pow.f64 x -2))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (-.f64 1 (cos.f64 x)))
0.1b
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
1.6b
(-.f64 1 (cos.f64 x))
15.4b
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
Compiler

Compiled 38 to 23 computations (39.5% saved)

series4.0ms (0%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/.f64 1 (-.f64 1 (cos.f64 x)))
0.0ms
x
@inf
(/.f64 1 (-.f64 1 (cos.f64 x)))
0.0ms
x
@0
(/.f64 1 (-.f64 1 (cos.f64 x)))
0.0ms
x
@0
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
0.0ms
x
@0
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))

rewrite85.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01151
124551
2307651
Stop Event
node limit
Counts
3 → 195
Calls
Call 1
Inputs
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 1 (-.f64 1 (cos.f64 x)))
Outputs
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simplify107.0ms (0.9%)

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

Useful iterations: 1 (0.0ms)

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

eval823.0ms (7.3%)

Compiler

Compiled 29529 to 16748 computations (43.3% saved)

prune1.4s (11.9%)

Pruning

25 alts after pruning (18 fresh and 7 done)

PrunedKeptTotal
New151991528
Fresh6915
Picked011
Done066
Total1525251550
Error
0b
Counts
1550 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
34.9b
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
34.9b
(/.f64 (/.f64 1 (/.f64 x (+.f64 -1 (cos.f64 x)))) (neg.f64 x))
43.4b
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
35.7b
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
29.5b
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
35.7b
(/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
34.9b
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
41.4b
(/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x))))
35.7b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
35.0b
(/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) (neg.f64 x))
35.0b
(/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 x))
42.3b
(/.f64 (*.f64 (/.f64 1 x) (*.f64 -1/2 (*.f64 x x))) (neg.f64 x))
42.4b
(/.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 x x))
16.0b
(/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))))
0.4b
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x))
0.4b
(/.f64 1 (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x) (sin.f64 x)))
35.7b
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
35.4b
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
27.4b
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1))
27.4b
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
0.1b
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x))
35.7b
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
43.3b
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (*.f64 1/2 x) x))
27.1b
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
26.7b
1/2
Compiler

Compiled 487 to 333 computations (31.6% saved)

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x)
0.1b
(/.f64 x (tan.f64 (*.f64 x 1/2)))
0.4b
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x))
Compiler

Compiled 37 to 23 computations (37.8% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 x (tan.f64 (*.f64 x 1/2)))
1.0ms
x
@-inf
(*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x)
0.0ms
x
@-inf
(/.f64 x (tan.f64 (*.f64 x 1/2)))
0.0ms
x
@inf
(*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x)
0.0ms
x
@0
(/.f64 x (tan.f64 (*.f64 x 1/2)))

rewrite86.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
898×unswap-sqr
866×swap-sqr
828×associate-/r/
494×associate-/l/
422×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01173
123473
2317273
Stop Event
node limit
Counts
3 → 170
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x))
(/.f64 x (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 1) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (tan.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) 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simplify96.0ms (0.8%)

Algorithm
egg-herbie
Rules
826×distribute-rgt-in
818×distribute-lft-in
638×*-commutative
608×distribute-lft-neg-in
560×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04436788
112236732
244106732
Stop Event
node limit
Counts
206 → 248
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)))
2
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/360 (pow.f64 x 4))))
(+.f64 (*.f64 -1/15120 (pow.f64 x 6)) (+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/360 (pow.f64 x 4)))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(*.f64 2 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -1/360 (pow.f64 x 5))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/360 (pow.f64 x 5)) (*.f64 -1/15120 (pow.f64 x 7)))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(-.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)))
(*.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 1)
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))
(*.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 1 x))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(*.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (tan.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (tan.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (tan.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (tan.f64 (*.f64 x 1/2))))
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(/.f64 1 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (*.f64 x x) 1) (tan.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(/.f64 (/.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 x (neg.f64 x)) (neg.f64 (tan.f64 (*.f64 x 1/2))))
(pow.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 1)
(pow.f64 (/.f64 x (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 3)
(pow.f64 (pow.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 3) 1/3)
(neg.f64 (*.f64 x (/.f64 (neg.f64 x) (tan.f64 (*.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))))
(exp.f64 (log.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) 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 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
2
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/6 (*.f64 x x)))
(fma.f64 -1/6 (*.f64 x x) 2)
(+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/360 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/360)))
(+.f64 2 (fma.f64 (pow.f64 x 4) -1/360 (*.f64 x (*.f64 x -1/6))))
(+.f64 (fma.f64 -1/6 (*.f64 x x) 2) (*.f64 (pow.f64 x 4) -1/360))
(+.f64 (*.f64 -1/15120 (pow.f64 x 6)) (+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/360 (pow.f64 x 4)))))
(fma.f64 -1/15120 (pow.f64 x 6) (+.f64 2 (fma.f64 -1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/360))))
(+.f64 (fma.f64 (pow.f64 x 4) -1/360 (*.f64 x (*.f64 x -1/6))) (fma.f64 (pow.f64 x 6) -1/15120 2))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 2 x))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x 2))
(fma.f64 x 2 (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 x (fma.f64 -1/6 (*.f64 x x) 2))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -1/360 (pow.f64 x 5))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 2 x (*.f64 -1/360 (pow.f64 x 5))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 x 2 (*.f64 -1/360 (pow.f64 x 5))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/360 (pow.f64 x 5) (*.f64 x 2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/360 (pow.f64 x 5)) (*.f64 -1/15120 (pow.f64 x 7)))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 2 x (fma.f64 -1/360 (pow.f64 x 5) (*.f64 -1/15120 (pow.f64 x 7)))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 x 2 (fma.f64 -1/360 (pow.f64 x 5) (*.f64 -1/15120 (pow.f64 x 7)))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 x x))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 x x))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 x x))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 x x))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 x x))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 x x))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 x x))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 x x))
(-.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 1/2 x)) (*.f64 x x)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 1)
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 1 x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (tan.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (tan.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (tan.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (tan.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (tan.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (tan.f64 (*.f64 x 1/2))) (/.f64 (cbrt.f64 (sin.f64 x)) x))
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(fabs.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 x x) (tan.f64 (*.f64 1/2 x)))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))
(/.f64 (*.f64 x x) (tan.f64 (*.f64 1/2 x)))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 3))
(/.f64 (*.f64 x x) (tan.f64 (*.f64 1/2 x)))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 3)))
(/.f64 (*.f64 x x) (tan.f64 (*.f64 1/2 x)))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 3) (pow.f64 x 3)))
(/.f64 (*.f64 x x) (tan.f64 (*.f64 1/2 x)))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))))
(/.f64 (*.f64 x x) (tan.f64 (*.f64 1/2 x)))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(exp.f64 (log.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))))
(/.f64 (*.f64 x x) (tan.f64 (*.f64 1/2 x)))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 1))
(/.f64 (*.f64 x x) (tan.f64 (*.f64 1/2 x)))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))))
(/.f64 (*.f64 x x) (tan.f64 (*.f64 1/2 x)))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
26.7b
(/.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 x x))
Compiler

Compiled 23 to 12 computations (47.8% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite54.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1652×add-sqr-sqrt
1628×*-un-lft-identity
1540×add-cube-cbrt
1514×add-cbrt-cube
192×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0825
11741
226641
Stop Event
node limit
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1/2)))))

simplify12.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113
Stop Event
saturated
Counts
13 → 1
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
1/2
Outputs
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 -1/2 (*.f64 x x))
25.7b
(*.f64 (/.f64 1 x) (*.f64 -1/2 (*.f64 x x)))
Compiler

Compiled 38 to 20 computations (47.4% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite59.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1694×add-sqr-sqrt
1672×*-un-lft-identity
1562×add-cube-cbrt
1544×add-cbrt-cube
168×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
118432
2222432
Stop Event
node limit
Counts
2 → 39
Calls
Call 1
Inputs
(*.f64 (/.f64 1 x) (*.f64 -1/2 (*.f64 x x)))
(*.f64 -1/2 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 -1/2 x) x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (/.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x -1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (sqrt.f64 -1/2)) (/.f64 x (*.f64 x (sqrt.f64 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (/.f64 x (cbrt.f64 (*.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/2) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 x (*.f64 x -1/2))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (*.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 (*.f64 x -1/2))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (/.f64 -1/2 x) x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 -1/2 x)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 -1/2 x) x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (/.f64 -1/2 x) x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 (/.f64 -1/2 x) x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 -1/2 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (/.f64 -1/2 x) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (/.f64 -1/2 x) x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 -1/2 x) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 -1/2 x) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 -1/2 x) x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (/.f64 -1/2 x) x) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))))

simplify38.0ms (0.3%)

Algorithm
egg-herbie
Rules
1462×times-frac
1390×associate-/r*
952×associate-/l/
930×unswap-sqr
808×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105641
1252641
21352641
Stop Event
node limit
Counts
63 → 47
Calls
Call 1
Inputs
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 -1/2 x) x) x))) 1)
(/.f64 1 (/.f64 x (*.f64 x (*.f64 x -1/2))))
(/.f64 -1/2 (/.f64 x (*.f64 x x)))
(/.f64 (*.f64 x x) (/.f64 x -1/2))
(/.f64 (*.f64 x (*.f64 x -1/2)) x)
(/.f64 (*.f64 x (sqrt.f64 -1/2)) (/.f64 x (*.f64 x (sqrt.f64 -1/2))))
(/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (/.f64 x (cbrt.f64 (*.f64 x (*.f64 x -1/2)))))
(/.f64 (*.f64 x -1/2) (/.f64 x x))
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) -1) (neg.f64 x))
(/.f64 (*.f64 -1 (*.f64 x (*.f64 x -1/2))) (neg.f64 x))
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) 1) x)
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (neg.f64 (*.f64 x (*.f64 x -1/2))) (neg.f64 x))
(pow.f64 (*.f64 (*.f64 (/.f64 -1/2 x) x) x) 1)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 -1/2 x)) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 -1/2 x) x) x)) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 (/.f64 -1/2 x) x) x) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (/.f64 -1/2 x) x) x) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 -1/2 x)) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (/.f64 -1/2 x) x) x))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (/.f64 -1/2 x) x) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 -1/2 x) x) x)))
(exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 -1/2 x) x) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 -1/2 x) x) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (/.f64 -1/2 x) x) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2)))) 1)
(pow.f64 (*.f64 x (*.f64 x -1/2)) 1)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) 1/3)
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/2))))
Outputs
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 -1/2 x) x) x))) 1)
(*.f64 -1/2 x)
(/.f64 1 (/.f64 x (*.f64 x (*.f64 x -1/2))))
(*.f64 -1/2 x)
(/.f64 -1/2 (/.f64 x (*.f64 x x)))
(*.f64 -1/2 x)
(/.f64 (*.f64 x x) (/.f64 x -1/2))
(*.f64 -1/2 x)
(/.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 -1/2 x)
(/.f64 (*.f64 x (sqrt.f64 -1/2)) (/.f64 x (*.f64 x (sqrt.f64 -1/2))))
(*.f64 -1/2 x)
(/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (/.f64 x (cbrt.f64 (*.f64 x (*.f64 x -1/2)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) x) (cbrt.f64 (*.f64 -1/2 (*.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) x))
(/.f64 (*.f64 x -1/2) (/.f64 x x))
(*.f64 -1/2 x)
(/.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) -1) (neg.f64 x))
(*.f64 -1/2 x)
(/.f64 (*.f64 -1 (*.f64 x (*.f64 x -1/2))) (neg.f64 x))
(*.f64 -1/2 x)
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) 1) x)
(*.f64 -1/2 x)
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 -1/2 x)
(/.f64 (/.f64 (*.f64 x (*.f64 x -1/2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 -1/2 x)
(/.f64 (neg.f64 (*.f64 x (*.f64 x -1/2))) (neg.f64 x))
(*.f64 -1/2 x)
(pow.f64 (*.f64 (*.f64 (/.f64 -1/2 x) x) x) 1)
(*.f64 -1/2 x)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 -1/2 x)) x) 2)
(*.f64 -1/2 x)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 -1/2 x) x) x)) 3)
(*.f64 -1/2 x)
(pow.f64 (pow.f64 (*.f64 (*.f64 (/.f64 -1/2 x) x) x) 3) 1/3)
(*.f64 -1/2 x)
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (/.f64 -1/2 x) x) x) 2))
(*.f64 -1/2 x)
(log.f64 (pow.f64 (exp.f64 (/.f64 -1/2 x)) (*.f64 x x)))
(*.f64 -1/2 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (/.f64 -1/2 x) x) x))))
(*.f64 -1/2 x)
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (/.f64 -1/2 x) x) x) 3))
(*.f64 -1/2 x)
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 -1/2 x) x) x)))
(*.f64 -1/2 x)
(exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 -1/2 x) x) x)))
(*.f64 -1/2 x)
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 -1/2 x) x) x)) 1))
(*.f64 -1/2 x)
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (/.f64 -1/2 x) x) x)))
(*.f64 -1/2 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2)))) 1)
(*.f64 -1/2 (*.f64 x x))
(pow.f64 (*.f64 x (*.f64 x -1/2)) 1)
(*.f64 -1/2 (*.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(*.f64 -1/2 (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 3)
(*.f64 -1/2 (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) 1/3)
(*.f64 -1/2 (*.f64 x x))
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(fabs.f64 (*.f64 -1/2 (*.f64 x x)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/2))
(*.f64 -1/2 (log.f64 (pow.f64 (exp.f64 x) x)))
(*.f64 -1/2 (*.f64 x (log.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))))
(*.f64 -1/2 (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3))
(*.f64 -1/2 (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))))
(*.f64 -1/2 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/2))))
(*.f64 -1/2 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/2))) 1))
(*.f64 -1/2 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/2))))
(*.f64 -1/2 (*.f64 x x))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 x (-.f64 1 (cos.f64 x)))
0.3b
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
1.6b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 28 to 16 computations (42.9% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite67.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1116×*-commutative
1092×associate-/r/
828×associate-/l/
676×swap-sqr
426×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01029
122123
2312323
Stop Event
node limit
Counts
1 → 88
Calls
Call 1
Inputs
(/.f64 (/.f64 1 x) (/.f64 x (-.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 1 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (*.f64 (/.f64 (pow.f64 x -1/2) x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 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) ((x *.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(cos.f64 x)) x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) x) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) x) (*.f64 (pow.f64 x -1/2) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (*.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 x -1/2) x) (-.f64 1 (cos.f64 x))) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (*.f64 (pow.f64 x -1/2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -1/2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (pow.f64 x -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (*.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) 1) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) 1) (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (pow.f64 x -2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 1 (*.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (cbrt.f64 x))) (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (*.f64 (cbrt.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x))))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) -1) (/.f64 (+.f64 (cos.f64 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) 1) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) -1) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 x)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (-.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) 1) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -1/2) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))))

simplify66.0ms (0.6%)

Algorithm
egg-herbie
Rules
1400×associate-/r*
1290×associate-/l/
1164×distribute-lft-in
1066×distribute-rgt-in
1026×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02563644
17673462
229313462
Stop Event
node limit
Counts
100 → 136
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)))))
(+.f64 (pow.f64 x -2) (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x)))
(+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1))
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2))
(+.f64 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
(*.f64 (pow.f64 x -1/2) (*.f64 (/.f64 (pow.f64 x -1/2) x) (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 x -2)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 x -2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (/.f64 1 (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)))
(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (*.f64 (pow.f64 x -1/2) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (*.f64 (pow.f64 x -1/2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)))
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (cos.f64 x) -1))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x))
(*.f64 (/.f64 (pow.f64 x -1/2) x) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x -1/2) x) (*.f64 (pow.f64 x -1/2) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (*.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (/.f64 (pow.f64 x -1/2) x) (-.f64 1 (cos.f64 x))) (pow.f64 x -1/2))
(*.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (*.f64 (pow.f64 x -1/2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 (*.f64 (pow.f64 x -1/2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)))
(*.f64 (*.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (pow.f64 x -2)) 1))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (*.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) 1) (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) 1) (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (pow.f64 x -2)) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 1 (*.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (cbrt.f64 x))))
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (cbrt.f64 x))) (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (/.f64 1 (/.f64 x (*.f64 (cbrt.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x))))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 1 x) -1) (/.f64 (+.f64 (cos.f64 x) -1) x))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (-.f64 1 (cos.f64 x)))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x -2) 1) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 x -2) -1) (+.f64 (cos.f64 x) -1))
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.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 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x)) -1)
(*.f64 (/.f64 (/.f64 -1 x) -1) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (cos.f64 x) -1))
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (-.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 1))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) 1) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (+.f64 (cos.f64 x) -1)))
(*.f64 (*.f64 (pow.f64 x -1/2) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 x -1/2) x))
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3)
(pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)
(neg.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)))
(neg.f64 (*.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) 1))
(neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x)))
(neg.f64 (*.f64 1 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1))))
(neg.f64 (/.f64 (/.f64 -1 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3))
(cbrt.f64 (/.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (*.f64 1/720 (pow.f64 x 4)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (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 (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 -1 (*.f64 x x)) (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 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 (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 (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 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 (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 (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 (pow.f64 x -1/2) (*.f64 (/.f64 (pow.f64 x -1/2) 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 (sqrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (sqrt.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 (-.f64 1 (cos.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.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 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 (cbrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (cbrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 x (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2))
(/.f64 (-.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 x -2)) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)))
(/.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2) (cbrt.f64 (pow.f64 x -2))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.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 (-.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 (cos.f64 x) -1) (/.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 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) 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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 x -2)) (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 (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 (cbrt.f64 x))))
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(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 x) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2) (*.f64 x (cbrt.f64 x)))))
(*.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 (/.f64 1 x) (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))) (cbrt.f64 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 (/.f64 (/.f64 1 x) (cbrt.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (+.f64 (cos.f64 x) -1)))
(*.f64 (*.f64 (pow.f64 x -1/2) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 x -1/2) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (sqrt.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))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(neg.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(neg.f64 (*.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1)) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(neg.f64 (*.f64 1 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) -1))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(neg.f64 (/.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))
(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 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(cbrt.f64 (/.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3)))
(cbrt.f64 (/.f64 1 (/.f64 (pow.f64 x 6) (pow.f64 (-.f64 1 (cos.f64 x)) 3))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (/.f64 1 (pow.f64 x 6))))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (*.f64 x (neg.f64 x)))
0.1b
(*.f64 (cos.f64 x) (neg.f64 x))
1.6b
(-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x)))
28.6b
(/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x))))
Compiler

Compiled 44 to 8 computations (81.8% saved)

series3.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite109.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1642×associate-*r/
1124×associate-*l/
1120×*-commutative
594×associate-/r/
264×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
011104
124964
2424164
Stop Event
node limit
Counts
4 → 295
Calls
Call 1
Inputs
(/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x))))
(-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x)))
(*.f64 (cos.f64 x) (neg.f64 x))
(*.f64 x (*.f64 x (neg.f64 x)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 x 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3)))))))

simplify134.0ms (1.2%)

Algorithm
egg-herbie
Rules
1638×associate-*r*
1366×associate-*l*
1128×associate-/l*
890×associate-/r*
678×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067015869
1197915205
Stop Event
node limit
Counts
343 → 482
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 (*.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))
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(/.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 3))
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(*.f64 -1 (pow.f64 x 3))
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(*.f64 -1 (pow.f64 x 3))
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(*.f64 -1 (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
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(-.f64 (/.f64 x (pow.f64 x 3)) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x 3)))) 1)
(-.f64 (/.f64 0 (pow.f64 x 3)) (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x 3)))
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(/.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 x)) -1) (pow.f64 x 3)) (+.f64 (*.f64 x x) (*.f64 x 0)))
(/.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 x)) -1) (*.f64 x x)) x)
(/.f64 (*.f64 (pow.f64 x 3) (cos.f64 x)) (+.f64 (*.f64 x x) (*.f64 x 0)))
(/.f64 (*.f64 (pow.f64 x 3) (neg.f64 (cos.f64 x))) (+.f64 (*.f64 x x) (*.f64 x 0)))
(/.f64 (*.f64 (*.f64 x x) (neg.f64 (cos.f64 x))) x)
(pow.f64 (*.f64 x (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (cos.f64 x)) 3) 1/3)
(neg.f64 (*.f64 x (cos.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 x))))
(+.f64 0 (pow.f64 x 3))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (pow.f64 x 3)))) 1)
(-.f64 0 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 3))) 1)
(/.f64 (*.f64 x (pow.f64 x 3)) x)
(/.f64 (*.f64 (pow.f64 x 3) (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 x 0)))
(pow.f64 x 3)
(pow.f64 (pow.f64 x 3) 1)
(pow.f64 (*.f64 x (sqrt.f64 x)) 2)
(pow.f64 (pow.f64 (pow.f64 x 3) 3) 1/3)
(neg.f64 (pow.f64 x 3))
(sqrt.f64 (pow.f64 (pow.f64 x 3) 2))
(log.f64 (exp.f64 (pow.f64 x 3)))
(log.f64 (/.f64 1 (exp.f64 (pow.f64 x 3))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3))))
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(exp.f64 (log.f64 (pow.f64 x 3)))
(exp.f64 (*.f64 (log.f64 x) 3))
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
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 (*.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 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/24 (pow.f64 x 5)) (*.f64 -1/2 (pow.f64 x 3)))
(fma.f64 1/24 (pow.f64 x 5) (*.f64 -1/2 (pow.f64 x 3)))
(+.f64 (*.f64 1/24 (pow.f64 x 5)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/720 (pow.f64 x 7))))
(fma.f64 1/24 (pow.f64 x 5) (fma.f64 -1/2 (pow.f64 x 3) (*.f64 -1/720 (pow.f64 x 7))))
(+.f64 (*.f64 1/24 (pow.f64 x 5)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/40320 (pow.f64 x 9)) (*.f64 -1/720 (pow.f64 x 7)))))
(fma.f64 1/24 (pow.f64 x 5) (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/40320 (pow.f64 x 9) (*.f64 -1/720 (pow.f64 x 7)))))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x))
(neg.f64 (*.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x))
(neg.f64 (*.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x))
(neg.f64 (*.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x))
(neg.f64 (*.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x))
(*.f64 -1 (*.f64 (-.f64 1 (cos.f64 x)) x))
(neg.f64 (*.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x))
(*.f64 -1 (*.f64 (-.f64 1 (cos.f64 x)) x))
(neg.f64 (*.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x))
(*.f64 -1 (*.f64 (-.f64 1 (cos.f64 x)) x))
(neg.f64 (*.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x))
(*.f64 -1 (*.f64 (-.f64 1 (cos.f64 x)) x))
(neg.f64 (*.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 -1 x))
(fma.f64 1/2 (pow.f64 x 3) (neg.f64 x))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/24 (pow.f64 x 5)) (*.f64 -1 x)))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1/24 (pow.f64 x 5) (neg.f64 x)))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/24 (pow.f64 x 5)) (+.f64 (*.f64 -1 x) (*.f64 1/720 (pow.f64 x 7)))))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1/24 (pow.f64 x 5) (fma.f64 -1 x (*.f64 1/720 (pow.f64 x 7)))))
(*.f64 -1 (*.f64 (cos.f64 x) x))
(*.f64 x (neg.f64 (cos.f64 x)))
(*.f64 -1 (*.f64 (cos.f64 x) x))
(*.f64 x (neg.f64 (cos.f64 x)))
(*.f64 -1 (*.f64 (cos.f64 x) x))
(*.f64 x (neg.f64 (cos.f64 x)))
(*.f64 -1 (*.f64 (cos.f64 x) x))
(*.f64 x (neg.f64 (cos.f64 x)))
(*.f64 -1 (*.f64 (cos.f64 x) x))
(*.f64 x (neg.f64 (cos.f64 x)))
(*.f64 -1 (*.f64 (cos.f64 x) x))
(*.f64 x (neg.f64 (cos.f64 x)))
(*.f64 -1 (*.f64 (cos.f64 x) x))
(*.f64 x (neg.f64 (cos.f64 x)))
(*.f64 -1 (*.f64 (cos.f64 x) x))
(*.f64 x (neg.f64 (cos.f64 x)))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(+.f64 (/.f64 x (pow.f64 x 3)) (/.f64 (cos.f64 x) (*.f64 x x)))
(+.f64 (/.f64 (cos.f64 x) (*.f64 x x)) (/.f64 x (pow.f64 x 3)))
(+.f64 (/.f64 x (pow.f64 x 3)) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (/.f64 x (pow.f64 x 3)) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x 3)))) 1)
(/.f64 (fma.f64 x (cos.f64 x) x) (pow.f64 x 3))
(-.f64 (/.f64 0 (pow.f64 x 3)) (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x 3)))
(/.f64 (neg.f64 (fma.f64 x (cos.f64 x) x)) (pow.f64 x 3))
(*.f64 (+.f64 x (*.f64 x (cos.f64 x))) (/.f64 1 (pow.f64 x 3)))
(/.f64 (fma.f64 x (cos.f64 x) x) (pow.f64 x 3))
(*.f64 (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x 3)) 1)
(/.f64 (fma.f64 x (cos.f64 x) x) (pow.f64 x 3))
(*.f64 1 (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x 3)))
(/.f64 (fma.f64 x (cos.f64 x) x) (pow.f64 x 3))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) x)) x) (/.f64 (sqrt.f64 (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) x)) x))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 x (cos.f64 x) x) x)) x) 2)
(*.f64 (sqrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) (/.f64 (sqrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) (pow.f64 x 3)))
(/.f64 (fma.f64 x (cos.f64 x) x) (pow.f64 x 3))
(*.f64 (/.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) x) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) x) 2))
(/.f64 (fma.f64 x (cos.f64 x) x) (pow.f64 x 3))
(*.f64 (/.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) 2) (*.f64 x x)))
(/.f64 (fma.f64 x (cos.f64 x) x) (pow.f64 x 3))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) x) 2) (/.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) x))
(/.f64 (fma.f64 x (cos.f64 x) x) (pow.f64 x 3))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) 2) (/.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) (pow.f64 x 3)))
(/.f64 (fma.f64 x (cos.f64 x) x) (pow.f64 x 3))
(*.f64 (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) x) (/.f64 x (pow.f64 x 3)))
(/.f64 (*.f64 (fma.f64 x (cos.f64 x) x) (/.f64 x (pow.f64 x 3))) x)
(*.f64 x (/.f64 (fma.f64 x (cos.f64 x) x) (pow.f64 x 4)))
(*.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 x (*.f64 x (cos.f64 x))))
(/.f64 (fma.f64 x (cos.f64 x) x) (pow.f64 x 3))
(*.f64 (/.f64 x (pow.f64 x 3)) (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) x))
(/.f64 (*.f64 (fma.f64 x (cos.f64 x) x) (/.f64 x (pow.f64 x 3))) x)
(*.f64 x (/.f64 (fma.f64 x (cos.f64 x) x) (pow.f64 x 4)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) (pow.f64 x 3)) (sqrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))))
(/.f64 (fma.f64 x (cos.f64 x) x) (pow.f64 x 3))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) (pow.f64 x 3)) (/.f64 (sqrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) 1))
(/.f64 (fma.f64 x (cos.f64 x) x) (pow.f64 x 3))
(*.f64 (/.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) 2))
(/.f64 (fma.f64 x (cos.f64 x) x) (pow.f64 x 3))
(*.f64 (/.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) (pow.f64 x 3)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) 2) 1))
(/.f64 (fma.f64 x (cos.f64 x) x) (pow.f64 x 3))
(*.f64 (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) (/.f64 1 x))
(/.f64 (fma.f64 x (cos.f64 x) x) (pow.f64 x 3))
(*.f64 (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (sqrt.f64 x))) (/.f64 1 (*.f64 x (sqrt.f64 x))))
(/.f64 (*.f64 (/.f64 1 (*.f64 x (sqrt.f64 x))) (fma.f64 x (cos.f64 x) x)) (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (fma.f64 x (cos.f64 x) x) (*.f64 x (sqrt.f64 x))) (*.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 1 x) (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)))
(/.f64 (fma.f64 x (cos.f64 x) x) (pow.f64 x 3))
(*.f64 (/.f64 1 (*.f64 x (sqrt.f64 x))) (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (sqrt.f64 x))))
(/.f64 (*.f64 (/.f64 1 (*.f64 x (sqrt.f64 x))) (fma.f64 x (cos.f64 x) x)) (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (fma.f64 x (cos.f64 x) x) (*.f64 x (sqrt.f64 x))) (*.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) x) (/.f64 (sqrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)))
(/.f64 (fma.f64 x (cos.f64 x) x) (pow.f64 x 3))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) 1) (/.f64 (sqrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) (pow.f64 x 3)))
(/.f64 (fma.f64 x (cos.f64 x) x) (pow.f64 x 3))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (/.f64 (sqrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) x))
(/.f64 (fma.f64 x (cos.f64 x) x) (pow.f64 x 3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) 2) x) (/.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)))
(/.f64 (fma.f64 x (cos.f64 x) x) (pow.f64 x 3))
(*.f64 (/.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) 2) x))
(/.f64 (fma.f64 x (cos.f64 x) x) (pow.f64 x 3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) (pow.f64 x 3)))
(/.f64 (fma.f64 x (cos.f64 x) x) (pow.f64 x 3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) 2) (*.f64 x (sqrt.f64 x))) (/.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x (sqrt.f64 x))))
(/.f64 (*.f64 (/.f64 1 (*.f64 x (sqrt.f64 x))) (fma.f64 x (cos.f64 x) x)) (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (fma.f64 x (cos.f64 x) x) (*.f64 x (sqrt.f64 x))) (*.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x (sqrt.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) 2) (*.f64 x (sqrt.f64 x))))
(/.f64 (*.f64 (/.f64 1 (*.f64 x (sqrt.f64 x))) (fma.f64 x (cos.f64 x) x)) (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (fma.f64 x (cos.f64 x) x) (*.f64 x (sqrt.f64 x))) (*.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) 2) (*.f64 x x)) (/.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) x))
(/.f64 (fma.f64 x (cos.f64 x) x) (pow.f64 x 3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) 2) (pow.f64 x 3)) (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))))
(/.f64 (fma.f64 x (cos.f64 x) x) (pow.f64 x 3))
(*.f64 (/.f64 1 (/.f64 (pow.f64 x 3) (sqrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))))) (sqrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))))
(/.f64 (fma.f64 x (cos.f64 x) x) (pow.f64 x 3))
(*.f64 (/.f64 1 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) 2))) (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))))
(/.f64 (fma.f64 x (cos.f64 x) x) (pow.f64 x 3))
(*.f64 (/.f64 (/.f64 (pow.f64 (+.f64 x (*.f64 x (cos.f64 x))) 2) (pow.f64 x 3)) 1) (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) (pow.f64 (+.f64 x (*.f64 x (cos.f64 x))) 2)))
(/.f64 (fma.f64 x (cos.f64 x) x) (pow.f64 x 3))
(*.f64 (/.f64 (/.f64 (pow.f64 (+.f64 x (*.f64 x (cos.f64 x))) 2) (pow.f64 x 3)) 1) (/.f64 (fma.f64 x x (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3))))
(*.f64 (fma.f64 x x (*.f64 x (*.f64 (cos.f64 x) (fma.f64 x (cos.f64 x) x)))) (/.f64 (pow.f64 (fma.f64 x (cos.f64 x) x) 2) (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3)) (pow.f64 x 3))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x (cos.f64 x) x) 2) (pow.f64 x 3)) (/.f64 (fma.f64 x x (*.f64 x (*.f64 (cos.f64 x) (fma.f64 x (cos.f64 x) x)))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3))))
(*.f64 (/.f64 (/.f64 (pow.f64 (+.f64 x (*.f64 x (cos.f64 x))) 2) (pow.f64 x 3)) (pow.f64 (+.f64 x (*.f64 x (cos.f64 x))) 2)) (+.f64 x (*.f64 x (cos.f64 x))))
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(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 2) (*.f64 (pow.f64 (*.f64 x (cos.f64 x)) 3) (pow.f64 (*.f64 x (cos.f64 x)) 3))) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x))))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x (cos.f64 x)) 6)) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3)) (/.f64 1 (fma.f64 x x (*.f64 x (*.f64 (cos.f64 x) (fma.f64 x (cos.f64 x) x)))))))
(/.f64 (/.f64 1 (fma.f64 x x (*.f64 x (*.f64 (cos.f64 x) (fma.f64 x (cos.f64 x) x))))) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3)) (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x (cos.f64 x)) 6))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 x (cos.f64 x)) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x))))))) (+.f64 (pow.f64 (pow.f64 x 3) 2) (+.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 x)) 3) (pow.f64 (*.f64 x (cos.f64 x)) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 x (cos.f64 x)) 3) 3)) (/.f64 (+.f64 (pow.f64 x 6) (+.f64 (pow.f64 (*.f64 x (cos.f64 x)) 6) (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3)))) (/.f64 1 (fma.f64 x x (*.f64 x (*.f64 (cos.f64 x) (fma.f64 x (cos.f64 x) x)))))))
(/.f64 (/.f64 1 (fma.f64 x x (*.f64 x (*.f64 (cos.f64 x) (fma.f64 x (cos.f64 x) x))))) (/.f64 (+.f64 (pow.f64 x 6) (+.f64 (pow.f64 (*.f64 x (cos.f64 x)) 6) (*.f64 (pow.f64 x 6) (pow.f64 (cos.f64 x) 3)))) (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 x (cos.f64 x)) 3) 3))))
(pow.f64 (+.f64 x (*.f64 x (cos.f64 x))) 1)
(fma.f64 x (cos.f64 x) x)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) 2)
(fma.f64 x (cos.f64 x) x)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (cos.f64 x)))) 3)
(fma.f64 x (cos.f64 x) x)
(pow.f64 (pow.f64 (+.f64 x (*.f64 x (cos.f64 x))) 3) 1/3)
(fma.f64 x (cos.f64 x) x)
(neg.f64 (+.f64 x (*.f64 x (cos.f64 x))))
(neg.f64 (fma.f64 x (cos.f64 x) x))
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 x (cos.f64 x))) 2))
(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 x) x) 2))
(log.f64 (exp.f64 (+.f64 x (*.f64 x (cos.f64 x)))))
(fma.f64 x (cos.f64 x) x)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (*.f64 x (cos.f64 x))))))
(fma.f64 x (cos.f64 x) x)
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 x (cos.f64 x))) 3))
(fma.f64 x (cos.f64 x) x)
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 x (cos.f64 x)))))
(fma.f64 x (cos.f64 x) x)
(exp.f64 (log.f64 (+.f64 x (*.f64 x (cos.f64 x)))))
(fma.f64 x (cos.f64 x) x)
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 x (cos.f64 x)))))
(fma.f64 x (cos.f64 x) x)
(fma.f64 1 x (*.f64 x (cos.f64 x)))
(*.f64 x (+.f64 1 (cos.f64 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (cos.f64 x)))
(fma.f64 -1 x (*.f64 x (cos.f64 x)))
(+.f64 0 (*.f64 x (cos.f64 x)))
(*.f64 x (cos.f64 x))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 x))))) 1)
(*.f64 x (neg.f64 (cos.f64 x)))
(-.f64 0 (*.f64 x (cos.f64 x)))
(*.f64 x (neg.f64 (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 x)))) 1)
(*.f64 x (cos.f64 x))
(/.f64 (*.f64 x (*.f64 x (cos.f64 x))) x)
(/.f64 x (/.f64 x (*.f64 x (cos.f64 x))))
(/.f64 (*.f64 x x) (/.f64 x (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (+.f64 (*.f64 x x) (*.f64 x 0)))
(/.f64 (cos.f64 x) (/.f64 (*.f64 x x) (pow.f64 x 3)))
(/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x 3)) (+.f64 (*.f64 x x) (*.f64 x 0)))
(/.f64 (pow.f64 x 3) (/.f64 (*.f64 x x) (neg.f64 (cos.f64 x))))
(/.f64 (pow.f64 x 3) (/.f64 x (/.f64 (neg.f64 (cos.f64 x)) x)))
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) x)
(/.f64 (*.f64 x x) (/.f64 x (neg.f64 (cos.f64 x))))
(/.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 x)) -1) (pow.f64 x 3)) (+.f64 (*.f64 x x) (*.f64 x 0)))
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (pow.f64 x 3))) (*.f64 x x))
(/.f64 (pow.f64 x 3) (/.f64 (*.f64 x x) (*.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 x)) -1) (*.f64 x x)) x)
(/.f64 (neg.f64 (neg.f64 (cos.f64 x))) (/.f64 x (*.f64 x x)))
(/.f64 (*.f64 x x) (/.f64 x (*.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (pow.f64 x 3) (cos.f64 x)) (+.f64 (*.f64 x x) (*.f64 x 0)))
(/.f64 (cos.f64 x) (/.f64 (*.f64 x x) (pow.f64 x 3)))
(/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (*.f64 x x))
(/.f64 (*.f64 (pow.f64 x 3) (neg.f64 (cos.f64 x))) (+.f64 (*.f64 x x) (*.f64 x 0)))
(/.f64 (pow.f64 x 3) (/.f64 (*.f64 x x) (neg.f64 (cos.f64 x))))
(/.f64 (pow.f64 x 3) (/.f64 x (/.f64 (neg.f64 (cos.f64 x)) x)))
(/.f64 (*.f64 (*.f64 x x) (neg.f64 (cos.f64 x))) x)
(/.f64 (*.f64 x x) (/.f64 x (neg.f64 (cos.f64 x))))
(pow.f64 (*.f64 x (cos.f64 x)) 1)
(*.f64 x (cos.f64 x))
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 x))) 3)
(*.f64 x (cos.f64 x))
(pow.f64 (pow.f64 (*.f64 x (cos.f64 x)) 3) 1/3)
(*.f64 x (cos.f64 x))
(neg.f64 (*.f64 x (cos.f64 x)))
(*.f64 x (neg.f64 (cos.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (log.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cos.f64 x)))))
(*.f64 x (cos.f64 x))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 x)) 3))
(*.f64 x (cos.f64 x))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 x))))
(*.f64 x (cos.f64 x))
(exp.f64 (log.f64 (*.f64 x (cos.f64 x))))
(*.f64 x (cos.f64 x))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 x))))
(*.f64 x (cos.f64 x))
(+.f64 0 (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (pow.f64 x 3)))) 1)
(neg.f64 (pow.f64 x 3))
(-.f64 0 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 3))) 1)
(pow.f64 x 3)
(/.f64 (*.f64 x (pow.f64 x 3)) x)
(/.f64 x (/.f64 x (pow.f64 x 3)))
(/.f64 (pow.f64 x 4) x)
(/.f64 (*.f64 (pow.f64 x 3) (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 x 0)))
(/.f64 (pow.f64 x 3) (/.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (pow.f64 x 4) (/.f64 (*.f64 x x) x))
(pow.f64 x 3)
(pow.f64 (pow.f64 x 3) 1)
(pow.f64 x 3)
(pow.f64 (*.f64 x (sqrt.f64 x)) 2)
(pow.f64 (pow.f64 (pow.f64 x 3) 3) 1/3)
(pow.f64 x 3)
(neg.f64 (pow.f64 x 3))
(sqrt.f64 (pow.f64 (pow.f64 x 3) 2))
(sqrt.f64 (pow.f64 x 6))
(log.f64 (exp.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(log.f64 (/.f64 1 (exp.f64 (pow.f64 x 3))))
(neg.f64 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3))))
(pow.f64 x 3)
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
(pow.f64 x 3)
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(exp.f64 (log.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(exp.f64 (*.f64 (log.f64 x) 3))
(pow.f64 x 3)
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(pow.f64 x 3)

eval354.0ms (3.1%)

Compiler

Compiled 25538 to 11194 computations (56.2% saved)

prune246.0ms (2.2%)

Pruning

30 alts after pruning (19 fresh and 11 done)

PrunedKeptTotal
New111271119
Fresh11213
Picked011
Done11011
Total1114301144
Error
0b
Counts
1144 → 30
Alt Table
Click to see full alt table
StatusErrorProgram
34.9b
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
34.9b
(/.f64 (/.f64 1 (/.f64 x (+.f64 -1 (cos.f64 x)))) (neg.f64 x))
43.4b
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
35.7b
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
29.5b
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
35.7b
(/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
34.9b
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
42.2b
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 (*.f64 1/2 x) x)))
13.5b
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))))
34.9b
(/.f64 (/.f64 1 x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x))
42.3b
(/.f64 (/.f64 -1/2 (/.f64 x (*.f64 x x))) (neg.f64 x))
41.4b
(/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x))))
50.8b
(/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x))))
35.7b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
35.0b
(/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) (neg.f64 x))
35.0b
(/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 x))
41.4b
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x))))
42.4b
(/.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 x x))
16.0b
(/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))))
0.4b
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x))
0.4b
(/.f64 1 (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x) (sin.f64 x)))
35.7b
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
35.4b
(+.f64 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x))))
27.4b
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1))
27.4b
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
0.1b
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x))
35.7b
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
43.3b
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (*.f64 1/2 x) x))
27.1b
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
26.7b
1/2
Compiler

Compiled 352 to 240 computations (31.8% saved)

regimes40.0ms (0.4%)

Counts
48 → 1
Calls
Call 1
Inputs
1/2
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 x x))
(/.f64 (/.f64 -1/2 (/.f64 x (*.f64 x x))) (neg.f64 x))
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (*.f64 1/2 x) x))
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1))
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 (*.f64 1/2 x) x)))
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 1 x) (*.f64 -1/2 (*.f64 x x))) (neg.f64 x))
(/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))))
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 -1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x)))
(/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 x))
(/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) (neg.f64 x))
(/.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) (neg.f64 x))
(/.f64 (/.f64 1 (/.f64 x (+.f64 -1 (cos.f64 x)))) (neg.f64 x))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x))
(/.f64 (/.f64 1 x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x))
(/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x))))
(+.f64 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x))))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x))
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x))
(/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
(/.f64 1 (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x) (sin.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 (tan.f64 (/.f64 x 2)))) (*.f64 x x))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(/.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x x))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (*.f64 x x))
Outputs
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) 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 546 to 281 computations (48.5% saved)

regimes63.0ms (0.6%)

Counts
36 → 3
Calls
Call 1
Inputs
1/2
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 x x))
(/.f64 (/.f64 -1/2 (/.f64 x (*.f64 x x))) (neg.f64 x))
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (*.f64 1/2 x) x))
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1))
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 (*.f64 1/2 x) x)))
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 1 x) (*.f64 -1/2 (*.f64 x x))) (neg.f64 x))
(/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))))
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 -1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x)))
(/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 x))
(/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) (neg.f64 x))
(/.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) (neg.f64 x))
(/.f64 (/.f64 1 (/.f64 x (+.f64 -1 (cos.f64 x)))) (neg.f64 x))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x))
(/.f64 (/.f64 1 x) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) x))
(/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x))))
(+.f64 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x))))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2)))
Outputs
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) (neg.f64 x))
Calls

2 calls:

44.0ms
x
11.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.2b3x
0.8b2(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 393 to 209 computations (46.8% saved)

bsearch35.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
8.23939716896389e-6
143.6795159627046
17.0ms
-0.24987310509396088
-0.00018572376715117432
Results
31.0ms272×body256valid
Compiler

Compiled 379 to 290 computations (23.5% saved)

regimes54.0ms (0.5%)

Counts
23 → 3
Calls
Call 1
Inputs
1/2
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 x x))
(/.f64 (/.f64 -1/2 (/.f64 x (*.f64 x x))) (neg.f64 x))
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (*.f64 1/2 x) x))
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1))
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 (*.f64 1/2 x) x)))
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 1 x) (*.f64 -1/2 (*.f64 x x))) (neg.f64 x))
(/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))))
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 -1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x)))
(/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 x))
(/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 -1 x)) (neg.f64 x))
Outputs
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
Calls

2 calls:

34.0ms
x
10.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.2b3x
0.5b3(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 239 to 133 computations (44.4% saved)

bsearch39.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
8.23939716896389e-6
143.6795159627046
17.0ms
-0.24987310509396088
-0.00018572376715117432
Results
35.0ms272×body256valid
Compiler

Compiled 352 to 263 computations (25.3% saved)

regimes47.0ms (0.4%)

Counts
19 → 3
Calls
Call 1
Inputs
1/2
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 x x))
(/.f64 (/.f64 -1/2 (/.f64 x (*.f64 x x))) (neg.f64 x))
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (*.f64 1/2 x) x))
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1))
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 (*.f64 1/2 x) x)))
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 1 x) (*.f64 -1/2 (*.f64 x x))) (neg.f64 x))
(/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))))
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
Outputs
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
Calls

2 calls:

27.0ms
x
9.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.2b3x
0.5b3(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 196 to 110 computations (43.9% saved)

bsearch34.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
8.23939716896389e-6
143.6795159627046
17.0ms
-0.24987310509396088
-0.00018572376715117432
Results
30.0ms272×body256valid
Compiler

Compiled 352 to 263 computations (25.3% saved)

regimes41.0ms (0.4%)

Counts
17 → 3
Calls
Call 1
Inputs
1/2
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 x x))
(/.f64 (/.f64 -1/2 (/.f64 x (*.f64 x x))) (neg.f64 x))
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (*.f64 1/2 x) x))
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1))
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 (*.f64 1/2 x) x)))
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 1 x) (*.f64 -1/2 (*.f64 x x))) (neg.f64 x))
(/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))))
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 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 (-.f64 1 (cos.f64 x)) x) x)
Calls

2 calls:

25.0ms
x
9.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.2b3x
0.5b3(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 176 to 99 computations (43.8% saved)

bsearch37.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
8.23939716896389e-6
143.6795159627046
19.0ms
-0.24987310509396088
-0.00018572376715117432
Results
33.0ms272×body256valid
Compiler

Compiled 336 to 247 computations (26.5% saved)

regimes36.0ms (0.3%)

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

2 calls:

21.0ms
x
10.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.5b3x
0.5b3(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 148 to 85 computations (42.6% saved)

bsearch35.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
8.23939716896389e-6
143.6795159627046
17.0ms
-0.24987310509396088
-0.00018572376715117432
Results
31.0ms272×body256valid
Compiler

Compiled 336 to 247 computations (26.5% saved)

regimes10.0ms (0.1%)

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

1 calls:

7.0ms
x
Results
ErrorSegmentsBranch
13.5b1x
Compiler

Compiled 131 to 75 computations (42.7% saved)

regimes20.0ms (0.2%)

Counts
11 → 3
Calls
Call 1
Inputs
1/2
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 x x))
(/.f64 (/.f64 -1/2 (/.f64 x (*.f64 x x))) (neg.f64 x))
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (*.f64 1/2 x) x))
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1))
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 (*.f64 1/2 x) x)))
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 1 x) (*.f64 -1/2 (*.f64 x x))) (neg.f64 x))
(/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x))))
Outputs
(/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x))))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x))))
Calls

1 calls:

18.0ms
x
Results
ErrorSegmentsBranch
14.9b3x
Compiler

Compiled 105 to 58 computations (44.8% saved)

bsearch40.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
8.23939716896389e-6
143.6795159627046
22.0ms
-374182185210.54675
-0.24987310509396088
Results
36.0ms304×body256valid
Compiler

Compiled 450 to 275 computations (38.9% saved)

regimes9.0ms (0.1%)

Accuracy

Total -17.3b remaining (-64.8%)

Threshold costs -17.3b (-64.8%)

Counts
10 → 1
Calls
Call 1
Inputs
1/2
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 x x))
(/.f64 (/.f64 -1/2 (/.f64 x (*.f64 x x))) (neg.f64 x))
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (*.f64 1/2 x) x))
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1))
(/.f64 (/.f64 1 x) (/.f64 x (*.f64 (*.f64 1/2 x) x)))
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 1 x) (*.f64 -1/2 (*.f64 x x))) (neg.f64 x))
Outputs
1/2
Calls

1 calls:

7.0ms
x
Results
ErrorSegmentsBranch
26.7b1x
Compiler

Compiled 93 to 54 computations (41.9% saved)

simplify22.0ms (0.2%)

Algorithm
egg-herbie
Rules
82×*-commutative
52×distribute-lft-neg-in
42×+-commutative
34×neg-sub0
22×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060563
187559
2107555
3142555
4180555
5219555
6246555
7257555
8259555
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x))
(if (<=.f64 x -6456360425798343/1152921504606846976) (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) (if (<=.f64 x 734987459186865/144115188075855872) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) (neg.f64 x))))
(if (<=.f64 x -6456360425798343/1152921504606846976) (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) (if (<=.f64 x 734987459186865/144115188075855872) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -6456360425798343/1152921504606846976) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (if (<=.f64 x 734987459186865/144115188075855872) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -6456360425798343/1152921504606846976) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 734987459186865/144115188075855872) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -6456360425798343/1152921504606846976) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 734987459186865/144115188075855872) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))))
(if (<=.f64 x -3884354678607053/1125899906842624) (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x)))) (if (<=.f64 x 7/2) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x))))))
1/2
Outputs
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) x) (/.f64 (sin.f64 x) x))
(if (<=.f64 x -6456360425798343/1152921504606846976) (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) (if (<=.f64 x 734987459186865/144115188075855872) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) (neg.f64 x))))
(if (<=.f64 x -6456360425798343/1152921504606846976) (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x)))) (if (<=.f64 x 734987459186865/144115188075855872) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -6456360425798343/1152921504606846976) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (if (<=.f64 x 734987459186865/144115188075855872) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -6456360425798343/1152921504606846976) (*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) (if (<=.f64 x 734987459186865/144115188075855872) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -6456360425798343/1152921504606846976) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 734987459186865/144115188075855872) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (or (<=.f64 x -6456360425798343/1152921504606846976) (not (<=.f64 x 734987459186865/144115188075855872))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))))
(if (<=.f64 x -6456360425798343/1152921504606846976) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 734987459186865/144115188075855872) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(if (or (<=.f64 x -6456360425798343/1152921504606846976) (not (<=.f64 x 734987459186865/144115188075855872))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/6) (*.f64 2 (/.f64 1 x))))
(if (<=.f64 x -3884354678607053/1125899906842624) (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x)))) (if (<=.f64 x 7/2) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x))))))
(if (or (<=.f64 x -3884354678607053/1125899906842624) (not (<=.f64 x 7/2))) (/.f64 (-.f64 (neg.f64 x) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x)))) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))))
(if (or (<=.f64 x -3884354678607053/1125899906842624) (not (<=.f64 x 7/2))) (/.f64 (+.f64 x (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x)))) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))))
(if (or (<=.f64 x -3884354678607053/1125899906842624) (not (<=.f64 x 7/2))) (/.f64 (-.f64 x x) (*.f64 x (*.f64 x (neg.f64 x)))) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))))
1/2
Compiler

Compiled 210 to 146 computations (30.5% saved)

soundness0.0ms (0%)

end83.0ms (0.7%)

Compiler

Compiled 202 to 128 computations (36.6% saved)

Profiling

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