Details

Time bar (total: 12.2s)

analyze107.0ms (0.9%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
75%75%25%0%0%0%0%4
75%75%25%0%0%0%0%5
75%75%25%0%0%0%0%6
78.1%78.1%21.9%0%0%0%0%7
78.1%78.1%21.9%0%0%0%0%8
78.1%78.1%21.9%0%0%0%0%9
78.1%78.1%21.9%0%0%0%0%10
78.1%78.1%21.9%0%0%0%0%11
78.1%78.1%21.9%0%0%0%0%12
Compiler

Compiled 10 to 7 computations (30% saved)

sample3.3s (27.3%)

Results
1.6s2063×body2048valid
805.0ms3405×body256valid
495.0ms1112×body1024valid
381.0ms1572×body512valid
93.0ms104×body4096valid
Bogosity

preprocess37.0ms (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)

simplify44.0ms (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
Accurracy
56.4%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.4%
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize9.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
96.9%
(-.f64 1 (cos.f64 x))
77.2%
(/.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))

rewrite85.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0934
119034
2263634
Stop Event
node limit
Counts
2 → 121
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 1 (cos.f64 x))
Outputs
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simplify91.0ms (0.7%)

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

Useful iterations: 2 (0.0ms)

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

eval59.0ms (0.5%)

Compiler

Compiled 4007 to 2144 computations (46.5% saved)

prune36.0ms (0.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New18513198
Fresh000
Picked011
Done000
Total18514199
Accurracy
100.0%
Counts
199 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.1%
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
76.3%
(/.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 x x))
56.4%
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
76.4%
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x x))
75.9%
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)))
76.8%
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
56.4%
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
57.0%
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))
44.9%
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
56.7%
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
57.3%
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
76.2%
(*.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))))
56.4%
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
46.4%
1/2
Compiler

Compiled 349 to 240 computations (31.2% saved)

localize17.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
99.7%
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
77.5%
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
Compiler

Compiled 33 to 18 computations (45.5% saved)

series10.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
7.0ms
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)))

rewrite83.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01154
123954
2332754
Stop Event
node limit
Counts
2 → 100
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
Outputs
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simplify81.0ms (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 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) 1)
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))))
(*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))
(*.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1)
(*.f64 1 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x))
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(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6))
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2) (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2))
(pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/3)
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1)
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))))
(neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))) 1))
(neg.f64 (*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 x (neg.f64 x)))))
(neg.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x)))))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2)))))
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x)))
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 x x)))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 1)
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1)
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 x x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 -1/24 (*.f64 x x) 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))) 1)
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1)
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 1 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (pow.f64 x -2)))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)))
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4)) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
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(*.f64 (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (pow.f64 x -2)) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)))))
(*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)))))
(*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3/2))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/6))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2) (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1)
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 2)
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3)
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/3)
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1)
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))) 1))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(neg.f64 (*.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 x (neg.f64 x)))))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(neg.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x)))))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x)))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 x x)))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 4))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4))
(fabs.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2))))
(fabs.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) (pow.f64 x -2)))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) (pow.f64 x 6)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 3) (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 1))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 1/2 x)) (pow.f64 x -2)))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 1)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 3)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 2))
(fabs.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))

localize7.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
99.7%
(*.f64 -1/24 (*.f64 x x))
Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite62.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1720×add-sqr-sqrt
1684×*-un-lft-identity
1592×add-cube-cbrt
1582×add-cbrt-cube
166×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0832
117428
2214628
Stop Event
node limit
Counts
2 → 48
Calls
Call 1
Inputs
(*.f64 -1/24 (*.f64 x x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/576))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824))))) (#(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 exp.f64 (*.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/24 (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x 4) 1/576) (+.f64 1/2 (*.f64 1/24 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 -1/24 x) x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) (sqrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 2) (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (/.f64 1 (+.f64 1/2 (*.f64 1/24 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) (/.f64 1 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/2 (*.f64 1/24 (*.f64 x x))) (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x)))) (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (+.f64 1/2 (*.f64 1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) (+.f64 (*.f64 (pow.f64 x 4) 1/576) (-.f64 1/4 (*.f64 -1/48 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/576) 1/4) (-.f64 (*.f64 -1/24 (*.f64 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576))) (neg.f64 (+.f64 1/2 (*.f64 1/24 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824))) (neg.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/24 (*.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -1/24 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/24 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -1/24)) (*.f64 x (sqrt.f64 -1/24)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/24 x) x 1/2)))))

simplify72.0ms (0.6%)

Algorithm
egg-herbie
Rules
1622×associate-/l*
1300×associate-*r*
1058×associate-+r+
1052×associate-*l*
874×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01211520
12771384
29641340
348651340
Stop Event
node limit
Counts
72 → 63
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))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 (*.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 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/576))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) -1/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824))
(expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/24 (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))) 1)
(-.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/24 (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x 4) 1/576) (+.f64 1/2 (*.f64 1/24 (*.f64 x x)))))
(*.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 1)
(*.f64 1 (fma.f64 (*.f64 -1/24 x) x 1/2))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) (sqrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))
(*.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 2) (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))
(*.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (/.f64 1 (+.f64 1/2 (*.f64 1/24 (*.f64 x x)))))
(*.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) (/.f64 1 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x))))))
(/.f64 1 (/.f64 (+.f64 1/2 (*.f64 1/24 (*.f64 x x))) (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576))))
(/.f64 1 (/.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x)))) (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824))))
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (+.f64 1/2 (*.f64 1/24 (*.f64 x x))))
(/.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x)))))
(/.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) (+.f64 (*.f64 (pow.f64 x 4) 1/576) (-.f64 1/4 (*.f64 -1/48 (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/576) 1/4) (-.f64 (*.f64 -1/24 (*.f64 x x)) 1/2))
(/.f64 (neg.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576))) (neg.f64 (+.f64 1/2 (*.f64 1/24 (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824))) (neg.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x))))))
(pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 1)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 2)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))
(exp.f64 (log.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 (*.f64 x x) -1/24 1/2)
(fma.f64 1 (*.f64 -1/24 (*.f64 x x)) 1/2)
(fma.f64 (*.f64 x (sqrt.f64 -1/24)) (*.f64 x (sqrt.f64 -1/24)) 1/2)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 1/2)
(fma.f64 (*.f64 -1/24 x) x 1/2)
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))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(-.f64 (exp.f64 (log1p.f64 (*.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 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/13824))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/576))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) -1/24))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (*.f64 x x)))))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/13824))
(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))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/24 (*.f64 x x))) 1))
(*.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))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))) 1)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(-.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/24 (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x 4) 1/576) (+.f64 1/2 (*.f64 1/24 (*.f64 x x)))))
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (+.f64 1/2 (*.f64 (*.f64 x x) 1/24)))
(/.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) -1/576)) (fma.f64 (*.f64 x x) 1/24 1/2))
(/.f64 (fma.f64 (pow.f64 x 4) -1/576 1/4) (fma.f64 (*.f64 x x) 1/24 1/2))
(/.f64 (fma.f64 (pow.f64 x 4) 1/576 -1/4) (fma.f64 x (*.f64 -1/24 x) -1/2))
(*.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 1)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(*.f64 1 (fma.f64 (*.f64 -1/24 x) x 1/2))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) (sqrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(*.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 2))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 2) (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(*.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (/.f64 1 (+.f64 1/2 (*.f64 1/24 (*.f64 x x)))))
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (+.f64 1/2 (*.f64 (*.f64 x x) 1/24)))
(/.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) -1/576)) (fma.f64 (*.f64 x x) 1/24 1/2))
(/.f64 (fma.f64 (pow.f64 x 4) -1/576 1/4) (fma.f64 (*.f64 x x) 1/24 1/2))
(/.f64 (fma.f64 (pow.f64 x 4) 1/576 -1/4) (fma.f64 x (*.f64 -1/24 x) -1/2))
(*.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) (/.f64 1 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x))))))
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824) 1/8) (/.f64 1 (-.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (*.f64 (*.f64 x x) -1/48))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8) (fma.f64 (pow.f64 x 4) 1/576 (-.f64 1/4 (*.f64 (*.f64 x x) -1/48))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8) (fma.f64 (pow.f64 x 4) 1/576 (fma.f64 (*.f64 x x) 1/48 1/4)))
(/.f64 1 (/.f64 (+.f64 1/2 (*.f64 1/24 (*.f64 x x))) (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576))))
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (+.f64 1/2 (*.f64 (*.f64 x x) 1/24)))
(/.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) -1/576)) (fma.f64 (*.f64 x x) 1/24 1/2))
(/.f64 (fma.f64 (pow.f64 x 4) -1/576 1/4) (fma.f64 (*.f64 x x) 1/24 1/2))
(/.f64 (fma.f64 (pow.f64 x 4) 1/576 -1/4) (fma.f64 x (*.f64 -1/24 x) -1/2))
(/.f64 1 (/.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x)))) (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824))))
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824) 1/8) (/.f64 1 (-.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (*.f64 (*.f64 x x) -1/48))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8) (fma.f64 (pow.f64 x 4) 1/576 (-.f64 1/4 (*.f64 (*.f64 x x) -1/48))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8) (fma.f64 (pow.f64 x 4) 1/576 (fma.f64 (*.f64 x x) 1/48 1/4)))
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (+.f64 1/2 (*.f64 1/24 (*.f64 x x))))
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (+.f64 1/2 (*.f64 (*.f64 x x) 1/24)))
(/.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) -1/576)) (fma.f64 (*.f64 x x) 1/24 1/2))
(/.f64 (fma.f64 (pow.f64 x 4) -1/576 1/4) (fma.f64 (*.f64 x x) 1/24 1/2))
(/.f64 (fma.f64 (pow.f64 x 4) 1/576 -1/4) (fma.f64 x (*.f64 -1/24 x) -1/2))
(/.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x)))))
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824) 1/8) (/.f64 1 (-.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (*.f64 (*.f64 x x) -1/48))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8) (fma.f64 (pow.f64 x 4) 1/576 (-.f64 1/4 (*.f64 (*.f64 x x) -1/48))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8) (fma.f64 (pow.f64 x 4) 1/576 (fma.f64 (*.f64 x x) 1/48 1/4)))
(/.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824)) (+.f64 (*.f64 (pow.f64 x 4) 1/576) (-.f64 1/4 (*.f64 -1/48 (*.f64 x x)))))
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824) 1/8) (/.f64 1 (-.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (*.f64 (*.f64 x x) -1/48))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8) (fma.f64 (pow.f64 x 4) 1/576 (-.f64 1/4 (*.f64 (*.f64 x x) -1/48))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8) (fma.f64 (pow.f64 x 4) 1/576 (fma.f64 (*.f64 x x) 1/48 1/4)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/576) 1/4) (-.f64 (*.f64 -1/24 (*.f64 x x)) 1/2))
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (+.f64 1/2 (*.f64 (*.f64 x x) 1/24)))
(/.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) -1/576)) (fma.f64 (*.f64 x x) 1/24 1/2))
(/.f64 (fma.f64 (pow.f64 x 4) -1/576 1/4) (fma.f64 (*.f64 x x) 1/24 1/2))
(/.f64 (fma.f64 (pow.f64 x 4) 1/576 -1/4) (fma.f64 x (*.f64 -1/24 x) -1/2))
(/.f64 (neg.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576))) (neg.f64 (+.f64 1/2 (*.f64 1/24 (*.f64 x x)))))
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (+.f64 1/2 (*.f64 (*.f64 x x) 1/24)))
(/.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) -1/576)) (fma.f64 (*.f64 x x) 1/24 1/2))
(/.f64 (fma.f64 (pow.f64 x 4) -1/576 1/4) (fma.f64 (*.f64 x x) 1/24 1/2))
(/.f64 (fma.f64 (pow.f64 x 4) 1/576 -1/4) (fma.f64 x (*.f64 -1/24 x) -1/2))
(/.f64 (neg.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824))) (neg.f64 (+.f64 1/4 (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 -1/48 (*.f64 x x))))))
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/13824) 1/8) (/.f64 1 (-.f64 (+.f64 1/4 (*.f64 (pow.f64 x 4) 1/576)) (*.f64 (*.f64 x x) -1/48))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8) (fma.f64 (pow.f64 x 4) 1/576 (-.f64 1/4 (*.f64 (*.f64 x x) -1/48))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/13824 1/8) (fma.f64 (pow.f64 x 4) 1/576 (fma.f64 (*.f64 x x) 1/48 1/4)))
(pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 1)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 2)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 3)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(pow.f64 (pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 3) 1/3)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 2))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(log.f64 (exp.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 -1/24 x) x 1/2))))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 -1/24 x) x 1/2) 3))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(exp.f64 (log.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)) 1))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 -1/24 x) x 1/2)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 (*.f64 x x) -1/24 1/2)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 1 (*.f64 -1/24 (*.f64 x x)) 1/2)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 (*.f64 x (sqrt.f64 -1/24)) (*.f64 x (sqrt.f64 -1/24)) 1/2)
(fma.f64 -1/24 (*.f64 x x) 1/2)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) 1/2)
(fma.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) 1/2)
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 -1/24 x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) 1/2)
(fma.f64 (*.f64 -1/24 x) x 1/2)
(fma.f64 -1/24 (*.f64 x x) 1/2)

localize13.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.8%
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
99.7%
(/.f64 (-.f64 1 (cos.f64 x)) x)
96.9%
(-.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))

rewrite86.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01040
121840
2297640
Stop Event
node limit
Counts
2 → 239
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 1 (neg.f64 (/.f64 (cos.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 (neg.f64 (/.f64 (cos.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (neg.f64 (/.f64 (cos.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (+.f64 1 (/.f64 (cos.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) 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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 x)) (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (/.f64 1 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1/2)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 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) (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 (/.f64 1 (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 (cos.f64 x)) (sqrt.f64 x)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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simplify98.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
061510371
118509903
Stop Event
node limit
Counts
255 → 352
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5))))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5)))))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
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(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (neg.f64 (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (*.f64 x (neg.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (neg.f64 (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (*.f64 x x) (neg.f64 (+.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (cos.f64 x))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (neg.f64 (*.f64 x x)) (+.f64 1 (cos.f64 x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 x x) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 x (neg.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (neg.f64 (*.f64 x x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (/.f64 (cos.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 x (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (*.f64 (*.f64 x x) (-.f64 (+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (/.f64 (cos.f64 x) x) 3)) (*.f64 x (+.f64 (+.f64 (pow.f64 x -2) (*.f64 (/.f64 (cos.f64 x) x) (/.f64 (cos.f64 x) x))) (/.f64 (cos.f64 x) (*.f64 x 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))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x)) (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (pow.f64 x -1/2) x) (/.f64 (sqrt.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x 3))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x))))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) -1) (*.f64 x (*.f64 (+.f64 1 (cos.f64 x)) (neg.f64 x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) -1) (*.f64 x (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (neg.f64 x))))
(/.f64 (*.f64 -1 (+.f64 -1 (cos.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (pow.f64 (sqrt.f64 x) -1) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (pow.f64 (sqrt.f64 x) -1)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) -1)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 1 x) (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 1 x) (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 1 x) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 1 x) (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 1 x) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 1 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) (/.f64 (cbrt.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (/.f64 1 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 1 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) (neg.f64 x))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) 1) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) -1) x)
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) -1) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) 1) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) -1) x)
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) 1) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) 1) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 -1 (+.f64 -1 (cos.f64 x))) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 1) (neg.f64 x))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) -1) x)
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2))
(log.f64 (exp.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (/.f64 1 (pow.f64 x 3))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/720 (pow.f64 x 5))))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5)))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -1/40320 (pow.f64 x 7) (*.f64 1/720 (pow.f64 x 5)))))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(+.f64 1/2 (*.f64 x (*.f64 x -1/24)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (/.f64 1 x) (*.f64 1 (neg.f64 (/.f64 (cos.f64 x) x))))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (/.f64 1 x) (*.f64 (neg.f64 (/.f64 (cos.f64 x) x)) 1))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (/.f64 1 x) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x)) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (neg.f64 (/.f64 (cos.f64 x) x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (+.f64 1 (/.f64 (cos.f64 x) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (+.f64 1 (/.f64 (cos.f64 x) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (neg.f64 (/.f64 (cos.f64 x) x))))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (pow.f64 x -1/2) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1/2)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 x -1/2) (pow.f64 x -1/2)))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1))
(*.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) x)
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) x)
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) x)
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) x)
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(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) 1) (neg.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) -1) x)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (cbrt.f64 (neg.f64 x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) 1) (sqrt.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 x))) (*.f64 x (sqrt.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) 1) (cbrt.f64 x))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x))) (*.f64 x (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 x))) (*.f64 x (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) (*.f64 x (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (/.f64 (*.f64 -1 (+.f64 -1 (cos.f64 x))) (neg.f64 x)) (neg.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 1) (neg.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) -1) x)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (cbrt.f64 (neg.f64 x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x))))
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3)
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3)
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2))
(log.f64 (exp.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (/.f64 1 (pow.f64 x 3))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 x 6)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (/.f64 1 (pow.f64 x 3))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))

localize17.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.9%
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
99.8%
(/.f64 x (-.f64 1 (cos.f64 x)))
99.5%
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
96.9%
(-.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
(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
@-inf
(/.f64 x (-.f64 1 (cos.f64 x)))
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)))

rewrite105.0ms (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> 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simplify137.0ms (1.1%)

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

Useful iterations: 1 (0.0ms)

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

localize10.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
99.9%
(*.f64 (cos.f64 x) (pow.f64 x -2))
74.7%
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))
Compiler

Compiled 24 to 14 computations (41.7% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite88.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0946
119840
2259840
Stop Event
node limit
Counts
2 → 164
Calls
Call 1
Inputs
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))
(*.f64 (cos.f64 x) (pow.f64 x -2))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cos.f64 x) x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (cos.f64 x) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))))))

simplify140.0ms (1.1%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
045013536
1126411898
2553111886
Stop Event
node limit
Counts
188 → 280
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) 1/2)
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) 1/2)
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
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(+.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))))
(+.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))))
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(+.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (*.f64 (pow.f64 x -2) (cos.f64 x))))
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(+.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
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(+.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(+.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x)))))
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(/.f64 (*.f64 (neg.f64 (*.f64 (pow.f64 x -4) (-.f64 1 (pow.f64 (cos.f64 x) 2)))) 1) (*.f64 (pow.f64 x -2) (neg.f64 (+.f64 (cos.f64 x) 1))))
(/.f64 (*.f64 (neg.f64 (*.f64 (pow.f64 x -6) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) 1) (neg.f64 (+.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -4) (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 x -4) (-.f64 1 (pow.f64 (cos.f64 x) 2)))) (sqrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) (sqrt.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) 1))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 x -6) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) (sqrt.f64 (+.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -4) (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x -4) (-.f64 1 (pow.f64 (cos.f64 x) 2)))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) 1))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x -6) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (+.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -4) (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x -8) (*.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 x -8))) (/.f64 1 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) 1)))) (*.f64 (pow.f64 x -4) (+.f64 1 (pow.f64 (cos.f64 x) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x -4) 3) (pow.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4) 3)) (/.f64 1 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) 1)))) (+.f64 (pow.f64 x -8) (+.f64 (*.f64 (pow.f64 x -8) (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 x -8)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x -12) (*.f64 (pow.f64 (cos.f64 x) 6) (pow.f64 x -12))) (/.f64 1 (+.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -4) (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) (*.f64 (pow.f64 x -6) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x -6) 3) (pow.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 6) 3)) (/.f64 1 (+.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -4) (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) (+.f64 (pow.f64 x -12) (*.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 6) (*.f64 (pow.f64 x -6) (+.f64 1 (pow.f64 (cos.f64 x) 3))))))
(/.f64 (/.f64 (*.f64 (pow.f64 x -4) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (pow.f64 x -2)) (+.f64 (cos.f64 x) 1))
(/.f64 (/.f64 (*.f64 (pow.f64 x -4) (-.f64 1 (pow.f64 (cos.f64 x) 2))) 1) (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) 1)))
(/.f64 (/.f64 (*.f64 (pow.f64 x -4) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (sqrt.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) 1)))) (sqrt.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) 1))))
(/.f64 (/.f64 (*.f64 (pow.f64 x -4) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) 1))) (cbrt.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) 1))))) (cbrt.f64 (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) 1))))
(/.f64 (/.f64 (*.f64 (pow.f64 x -4) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (+.f64 (cos.f64 x) 1)) (pow.f64 x -2))
(/.f64 (/.f64 (*.f64 (pow.f64 x -6) (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (+.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -4) (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(/.f64 (/.f64 (*.f64 (pow.f64 x -6) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (+.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -4) (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -4) (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))))
(/.f64 (/.f64 (*.f64 (pow.f64 x -6) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -4) (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -4) (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -4) (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 2) (*.f64 (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))))) (-.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 2) (*.f64 (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) (-.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 2) (*.f64 (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))))) (-.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 2) (*.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))))) (-.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 2) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (*.f64 (pow.f64 x -2) (cos.f64 x))))) (-.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4) (pow.f64 x -4)) (-.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2)))
(pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 1)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3) 1/3)
(neg.f64 (/.f64 (*.f64 (pow.f64 x -4) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (neg.f64 (+.f64 (cos.f64 x) 1)))))
(neg.f64 (/.f64 (*.f64 (pow.f64 x -6) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -4) (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 2))
(log.f64 (exp.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))
(fma.f64 1 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(fma.f64 (/.f64 1 x) (/.f64 1 x) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(fma.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) 1)
(/.f64 (*.f64 (/.f64 (cos.f64 x) x) 1) x)
(/.f64 (*.f64 1 (/.f64 (cos.f64 x) x)) x)
(pow.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) 1)
(pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 6) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 6))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) 1/2)
(+.f64 (/.f64 1 (*.f64 x x)) -1/2)
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) 1/2)
(+.f64 (fma.f64 1/24 (*.f64 x x) (/.f64 1 (*.f64 x x))) -1/2)
(+.f64 (fma.f64 (*.f64 x x) 1/24 (/.f64 1 (*.f64 x x))) -1/2)
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) 1/2)
(+.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 1/24 (*.f64 x x) (/.f64 1 (*.f64 x x)))) -1/2)
(+.f64 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 (*.f64 x x) 1/24 (/.f64 1 (*.f64 x x)))) -1/2)
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(+.f64 (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2)) (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x))))
(fma.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) (neg.f64 (cos.f64 x)))))
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(+.f64 (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2)) (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x))))
(fma.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) (neg.f64 (cos.f64 x)))))
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(+.f64 (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2)) (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x))))
(fma.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (+.f64 (cos.f64 x) (neg.f64 (cos.f64 x)))))
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(+.f64 (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2)) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) x) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2) (+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (neg.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2))))
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(+.f64 (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(fma.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(+.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x))))
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(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (*.f64 (cos.f64 x) (pow.f64 x -2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (*.f64 (cos.f64 x) (pow.f64 x -2))))) (-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4)) (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4) (pow.f64 x -4)) (-.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2)))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4) (pow.f64 x -4)) (*.f64 (pow.f64 x -2) (-.f64 -1 (cos.f64 x))))
(pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 1)
(fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 2)
(fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 3)
(fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3) 1/3)
(fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(neg.f64 (/.f64 (*.f64 (pow.f64 x -4) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (pow.f64 x -2) (neg.f64 (+.f64 (cos.f64 x) 1)))))
(/.f64 (*.f64 (pow.f64 x -4) (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 x -2) (+.f64 (neg.f64 (cos.f64 x)) -1)))
(*.f64 (neg.f64 (/.f64 (pow.f64 x -2) 1)) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 x -2) 1) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (-.f64 -1 (cos.f64 x))))
(neg.f64 (/.f64 (*.f64 (pow.f64 x -6) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -4) (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))))
(/.f64 (*.f64 (pow.f64 x -6) (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -4) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))
(*.f64 1 (/.f64 (*.f64 (pow.f64 x -6) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (+.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 1) (pow.f64 x -4))))
(/.f64 (pow.f64 x -6) (/.f64 (neg.f64 (*.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (pow.f64 x -4))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 2))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(log.f64 (exp.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))))
(fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3))
(fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))
(fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(fma.f64 1 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(fma.f64 (/.f64 1 x) (/.f64 1 x) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(fma.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4))) (*.f64 (cos.f64 x) (pow.f64 x -2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) 1)
(*.f64 (cos.f64 x) (pow.f64 x -2))
(/.f64 (*.f64 (/.f64 (cos.f64 x) x) 1) x)
(/.f64 (cos.f64 x) (*.f64 x x))
(/.f64 (*.f64 1 (/.f64 (cos.f64 x) x)) x)
(/.f64 (cos.f64 x) (*.f64 x x))
(pow.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) 1)
(*.f64 (cos.f64 x) (pow.f64 x -2))
(pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 3)
(*.f64 (cos.f64 x) (pow.f64 x -2))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 6) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 6))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (cos.f64 x)))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 6))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(*.f64 (cos.f64 x) (pow.f64 x -2))

eval941.0ms (7.7%)

Compiler

Compiled 33830 to 20028 computations (40.8% saved)

prune391.0ms (3.2%)

Pruning

24 alts after pruning (21 fresh and 3 done)

PrunedKeptTotal
New1586201606
Fresh718
Picked101
Done235
Total1596241620
Accurracy
100.0%
Counts
1620 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.1%
(pow.f64 (*.f64 (/.f64 x (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) -1)
57.4%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
57.4%
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
57.4%
(/.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) (neg.f64 x))
57.3%
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)
48.6%
(/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x))))
48.7%
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x 3))
56.4%
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
56.3%
(/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (/.f64 -1 x)))
76.8%
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
56.4%
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
57.0%
(/.f64 -1 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 -1 x)))
57.1%
(/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
57.1%
(/.f64 -1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x)))
56.3%
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
44.9%
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
23.3%
(*.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (/.f64 1 x))
76.5%
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x))
99.7%
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
99.3%
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (+.f64 x (*.f64 x (cos.f64 x)))))
57.2%
(*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x))
44.6%
(*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) (/.f64 1 x))
46.3%
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
46.4%
1/2
Compiler

Compiled 517 to 356 computations (31.1% saved)

localize17.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.8%
(/.f64 (sin.f64 x) x)
99.8%
(/.f64 (tan.f64 (*.f64 x 1/2)) x)
99.7%
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) 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 1/2)) x)
0.0ms
x
@-inf
(/.f64 (sin.f64 x) x)
0.0ms
x
@inf
(/.f64 (tan.f64 (*.f64 x 1/2)) x)
0.0ms
x
@inf
(/.f64 (sin.f64 x) x)
0.0ms
x
@0
(/.f64 (tan.f64 (*.f64 x 1/2)) x)

rewrite95.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01161
123561
2315761
Stop Event
node limit
Counts
3 → 268
Calls
Call 1
Inputs
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(/.f64 (tan.f64 (*.f64 x 1/2)) x)
(/.f64 (sin.f64 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (*.f64 x (/.f64 x (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 (*.f64 x (/.f64 x (tan.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (/.f64 x (tan.f64 (*.f64 x 1/2)))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x)) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (neg.f64 (tan.f64 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simplify110.0ms (0.9%)

Algorithm
egg-herbie
Rules
1056×associate-/r*
1034×associate-/l*
922×associate-*r*
920×associate-/r/
840×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06669490
118159352
Stop Event
node limit
Counts
296 → 347
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
1/2
(+.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)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) 1)
(/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) x))
(/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (/.f64 x (sin.f64 x))))
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) 1))
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) 1))
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (/.f64 x (sin.f64 x)) (/.f64 1 x)))
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x))
(/.f64 (sin.f64 x) (*.f64 x (/.f64 x (tan.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 x) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 1 x)))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x) 1))
(/.f64 (sin.f64 x) (/.f64 (*.f64 x (/.f64 x (tan.f64 (*.f64 x 1/2)))) 1))
(/.f64 (sin.f64 x) (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 x) (/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (*.f64 x 1/2))))
(/.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))))
(/.f64 1 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (tan.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (tan.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (/.f64 x (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(/.f64 1 (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x) (sin.f64 x)))
(/.f64 1 (/.f64 (*.f64 x (/.f64 x (tan.f64 (*.f64 x 1/2)))) (sin.f64 x)))
(/.f64 1 (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x)))
(/.f64 1 (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x)) (neg.f64 (sin.f64 x))))
(/.f64 1 (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (neg.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 1 (*.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(/.f64 1 (*.f64 (*.f64 x (/.f64 x (sin.f64 x))) (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))))
(/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 x (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sin.f64 x))))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 (sin.f64 x))))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (*.f64 x (/.f64 x (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 x))))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x))))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (neg.f64 x)) (neg.f64 (sqrt.f64 (sin.f64 x)))))
(/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 x (sqrt.f64 (sin.f64 x)))))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (/.f64 (sin.f64 x) x))))
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (/.f64 x (sin.f64 x)) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 x))))
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 x (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))))
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (*.f64 x x) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sin.f64 x))))
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x)) (neg.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (/.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2)))
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(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (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))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2)) (/.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 (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 (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)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) x) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) (*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3) 1/3)
(pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) -1)
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) x))
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) 1))
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 1 (neg.f64 x))))
(neg.f64 (*.f64 1 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x))))
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) 1))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 2))
(log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) 1)
(*.f64 (sin.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (sin.f64 x) x) 1)
(*.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 1 x) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)))) (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (sin.f64 x))))
(pow.f64 (/.f64 (sin.f64 x) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3)
(pow.f64 (/.f64 x (sin.f64 x)) -1)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) x))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) 1))
(neg.f64 (*.f64 (sin.f64 x) (/.f64 1 (neg.f64 x))))
(neg.f64 (*.f64 1 (/.f64 (sin.f64 x) (neg.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 (*.f64 -1/24 x) x)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))) (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))) (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))) (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))) (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))) (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))) (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))) (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))) (/.f64 (sin.f64 x) x))
1/2
(+.f64 1/2 (*.f64 1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 1/24 (*.f64 x x)))
(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 (pow.f64 x 4) 1/240)))
(+.f64 (fma.f64 1/24 (*.f64 x x) 1/2) (*.f64 (pow.f64 x 4) 1/240))
(+.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 (pow.f64 x 4) 1/240))))
(+.f64 (fma.f64 1/24 (*.f64 x x) 1/2) (fma.f64 (pow.f64 x 6) 17/40320 (*.f64 (pow.f64 x 4) 1/240)))
(/.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 (fma.f64 -1/6 (*.f64 x x) 1) (*.f64 (pow.f64 x 4) 1/120))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
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(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))))
(/.f64 (sin.f64 x) x)
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)))) (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)))))
(/.f64 (sin.f64 x) x)
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (sin.f64 x))))
(/.f64 (sin.f64 x) x)
(pow.f64 (/.f64 (sin.f64 x) x) 1)
(/.f64 (sin.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)
(/.f64 (sin.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)
(/.f64 (sin.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3)
(/.f64 (sin.f64 x) x)
(pow.f64 (/.f64 x (sin.f64 x)) -1)
(/.f64 (sin.f64 x) x)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))
(/.f64 (sin.f64 x) x)
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) x))
(/.f64 (sin.f64 x) x)
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) 1))
(/.f64 (sin.f64 x) x)
(neg.f64 (*.f64 (sin.f64 x) (/.f64 1 (neg.f64 x))))
(/.f64 (sin.f64 x) x)
(neg.f64 (*.f64 1 (/.f64 (sin.f64 x) (neg.f64 x))))
(/.f64 (sin.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))
(fabs.f64 (/.f64 (sin.f64 x) x))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 x) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x))))
(/.f64 (sin.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))
(/.f64 (sin.f64 x) x)
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))
(/.f64 (sin.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 x) x)
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 x) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1))
(/.f64 (sin.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 x) x)

localize25.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
99.8%
(*.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))

rewrite50.0ms (0.4%)

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

localize12.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.8%
(/.f64 x (/.f64 -1 x))
96.9%
(+.f64 -1 (cos.f64 x))
77.2%
(/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (/.f64 -1 x)))
Compiler

Compiled 27 to 16 computations (40.7% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite86.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1132×associate-/r/
1128×*-commutative
874×associate-/l/
688×swap-sqr
404×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01053
122549
2317845
Stop Event
node limit
Counts
3 → 227
Calls
Call 1
Inputs
(/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (/.f64 -1 x)))
(+.f64 -1 (cos.f64 x))
(/.f64 x (/.f64 -1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 x x)) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x)) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (*.f64 x x)))))) (#(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 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 (+.f64 -1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.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 (sqrt.f64 (/.f64 -1 x)) (*.f64 (sqrt.f64 (/.f64 -1 x)) (/.f64 (+.f64 -1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 x)) (*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (/.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 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (cbrt.f64 (*.f64 x (pow.f64 x 3)))))))) (#(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 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 -1 (*.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 (/.f64 (+.f64 -1 (cos.f64 x)) x) (/.f64 -1 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 (/.f64 1 x) (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 -1 x)) (/.f64 (+.f64 -1 (cos.f64 x)) x)) (sqrt.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (/.f64 (+.f64 -1 (cos.f64 x)) x)) (/.f64 -1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 -1 (*.f64 x x))) (sqrt.f64 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 -1 (*.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 (/.f64 -1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 (*.f64 x (neg.f64 x)))) (/.f64 (sqrt.f64 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 x (pow.f64 x 3)))) (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 (*.f64 x (neg.f64 x)))) (/.f64 1 (cbrt.f64 (*.f64 x (pow.f64 x 3)))))))) (#(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))) 1) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x (neg.f64 x))))))) (#(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))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (neg.f64 x)) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x (neg.f64 x))) (sqrt.f64 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x (neg.f64 x))) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (cbrt.f64 (*.f64 x (pow.f64 x 3)))) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x)))) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (cbrt.f64 (*.f64 x (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) x) (/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (neg.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x (neg.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (sqrt.f64 (*.f64 x (neg.f64 x)))) (/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (sqrt.f64 (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (cbrt.f64 (*.f64 x (pow.f64 x 3)))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change 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simplify82.0ms (0.7%)

Algorithm
egg-herbie
Rules
1354×times-frac
1062×associate-/l*
960×associate-*r*
936×associate-*l*
694×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05377319
115886593
Stop Event
node limit
Counts
263 → 311
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
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(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
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(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(*.f64 -1 (pow.f64 x 2))
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(*.f64 -1 (pow.f64 x 2))
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(+.f64 (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (*.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1)
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(*.f64 (/.f64 -1 x) (/.f64 (+.f64 -1 (cos.f64 x)) x))
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(*.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 -1 (*.f64 x x))))
(*.f64 (/.f64 -1 (cbrt.f64 x)) (*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (/.f64 (+.f64 -1 (cos.f64 x)) x)))
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(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
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(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (neg.f64 x)) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) x))
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(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x)))) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (cbrt.f64 (*.f64 x (pow.f64 x 3)))))
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(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) -1) (/.f64 1 (*.f64 x x)))
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(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2))) (/.f64 -1 (cbrt.f64 x)))
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(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) -1) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) x) -1)
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) 1) (/.f64 -1 x))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (*.f64 1 (sqrt.f64 (neg.f64 x)))) (sqrt.f64 (/.f64 -1 x)))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (/.f64 1 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2))) (/.f64 -1 (cbrt.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) -1) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 -1 (*.f64 x x))) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 -1 (*.f64 x x))) (-.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 x)))))
(*.f64 (/.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (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 (/.f64 -1 (*.f64 x 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 (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 (cos.f64 x)) (sqrt.f64 (*.f64 x (neg.f64 x)))) 1) (sqrt.f64 (/.f64 -1 (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 (*.f64 x (neg.f64 x)))) (sqrt.f64 x)) (sqrt.f64 (/.f64 -1 x)))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 (*.f64 x (neg.f64 x)))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (/.f64 1 x)))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 (*.f64 x (pow.f64 x 3)))) 1) (cbrt.f64 (/.f64 -1 (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 (*.f64 x (pow.f64 x 3)))) (cbrt.f64 x)) (/.f64 -1 (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 (*.f64 x (pow.f64 x 3)))) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3)
(pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) -1)
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 -1 (cos.f64 x)) x)))
(neg.f64 (*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) 1))
(neg.f64 (*.f64 (/.f64 -1 x) (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))))
(neg.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 1 (*.f64 x x))))
(neg.f64 (*.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 2)
(-.f64 (exp.f64 (log.f64 (+.f64 0 (cos.f64 x)))) 1)
(-.f64 (/.f64 1 (-.f64 -1 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 -1 (cos.f64 x))))
(-.f64 (+.f64 -1 (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
(*.f64 -1 (-.f64 1 (cos.f64 x)))
(*.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 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))))))
(*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (cbrt.f64 (+.f64 -1 (cos.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (neg.f64 (neg.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))))))
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (-.f64 -1 (cos.f64 x))))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) (neg.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x)))))
(*.f64 (+.f64 1 (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) (pow.f64 (cos.f64 x) 2)))) (+.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 (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 (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 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))))) (sqrt.f64 (+.f64 -1 (cos.f64 x))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2))) (cbrt.f64 (+.f64 -1 (cos.f64 x))))
(/.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) (pow.f64 (cos.f64 x) 2))) (+.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) (pow.f64 (cos.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) 1))
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 3))) (+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 -1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (-.f64 (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 (cos.f64 x) (pow.f64 (cos.f64 x) 3))) (*.f64 (-.f64 -1 (cos.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (-.f64 (pow.f64 (cos.f64 x) 3) -1)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (-.f64 -1 (cos.f64 x)) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 2))))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (-.f64 -1 (cos.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(pow.f64 (+.f64 -1 (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3) 1/3)
(neg.f64 (-.f64 1 (cos.f64 x)))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) 1)))
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))
(sqrt.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 -1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3))
(expm1.f64 (log.f64 (+.f64 0 (cos.f64 x))))
(exp.f64 (log.f64 (+.f64 -1 (cos.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 -1 (cos.f64 x))))
(fma.f64 1 (cos.f64 x) -1)
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (neg.f64 x)))) 1)
(*.f64 -1 (*.f64 x x))
(*.f64 x (neg.f64 x))
(*.f64 (*.f64 x (neg.f64 x)) 1)
(*.f64 1 (*.f64 x (neg.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (neg.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x))))
(*.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x (neg.f64 x))))))
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 (neg.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (pow.f64 x 3))))
(*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))) (cbrt.f64 (*.f64 x (neg.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 x (neg.f64 x))))))
(*.f64 (neg.f64 x) x)
(*.f64 (*.f64 x x) -1)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 x)) (cbrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) (neg.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) (neg.f64 x)) (/.f64 (sqrt.f64 x) 1))
(*.f64 (*.f64 1 (sqrt.f64 (neg.f64 x))) (*.f64 x (sqrt.f64 (neg.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) (*.f64 x (cbrt.f64 (neg.f64 x))))
(*.f64 (*.f64 x (sqrt.f64 (neg.f64 x))) (*.f64 1 (sqrt.f64 (neg.f64 x))))
(*.f64 (*.f64 x (cbrt.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (*.f64 x (cbrt.f64 (neg.f64 x))) (/.f64 1 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x (neg.f64 x)))) (neg.f64 (sqrt.f64 (*.f64 x (neg.f64 x)))))
(*.f64 (neg.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3)))) (neg.f64 (cbrt.f64 (*.f64 x (neg.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 x) -1) (*.f64 (/.f64 (sqrt.f64 x) 1) x))
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) 1) x) (/.f64 (sqrt.f64 x) -1))
(*.f64 (/.f64 (sqrt.f64 x) 1) (*.f64 (sqrt.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) (/.f64 (sqrt.f64 x) (/.f64 -1 (cbrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 -1 (cbrt.f64 x))) (/.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) -1) (*.f64 (/.f64 (cbrt.f64 x) 1) x))
(*.f64 (*.f64 (/.f64 (cbrt.f64 x) 1) x) (/.f64 (pow.f64 (cbrt.f64 x) 2) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) -1) x))
(*.f64 (*.f64 (/.f64 (cbrt.f64 x) -1) x) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 -1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 -1 x))))
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 -1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) (cbrt.f64 (*.f64 x (neg.f64 x))))
(*.f64 (/.f64 x (/.f64 -1 (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 x (/.f64 -1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 1 (/.f64 (/.f64 -1 x) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 1 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (*.f64 x (pow.f64 x 3))))) (cbrt.f64 (*.f64 x (neg.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 -1 x)) (cbrt.f64 x))
(*.f64 (/.f64 (neg.f64 x) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (neg.f64 x) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 (neg.f64 x))) 1) (sqrt.f64 (neg.f64 x)))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 (neg.f64 x))) (sqrt.f64 -1)) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) -1) (cbrt.f64 x))
(*.f64 (/.f64 (/.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) 1) (cbrt.f64 (neg.f64 x)))
(*.f64 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x (neg.f64 x))))) (sqrt.f64 (*.f64 x (neg.f64 x))))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))))) (cbrt.f64 (*.f64 x (neg.f64 x))))
(pow.f64 (*.f64 x (neg.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (neg.f64 x)) 3) 1/3)
(pow.f64 (/.f64 -1 (*.f64 x x)) -1)
(neg.f64 (*.f64 x x))
(neg.f64 (/.f64 (*.f64 x x) 1))
(sqrt.f64 (*.f64 x (pow.f64 x 3)))
(log.f64 (pow.f64 (exp.f64 (neg.f64 x)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (neg.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (neg.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 -1 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (neg.f64 x))))
(exp.f64 (log.f64 (*.f64 x (neg.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 x (neg.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)))))
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(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) (/.f64 (sqrt.f64 x) (/.f64 -1 (cbrt.f64 x))))
(/.f64 (*.f64 x (cbrt.f64 x)) (neg.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)))
(*.f64 (/.f64 (/.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) 1) (cbrt.f64 (neg.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) (*.f64 x (cbrt.f64 (neg.f64 x))))
(/.f64 (*.f64 x (cbrt.f64 (neg.f64 x))) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2))
(*.f64 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 x (neg.f64 x))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x (neg.f64 x))))) (sqrt.f64 (*.f64 x (neg.f64 x))))
(*.f64 x (neg.f64 x))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))))) (cbrt.f64 (*.f64 x (neg.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))) (cbrt.f64 (*.f64 x (neg.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x (neg.f64 x))))
(pow.f64 (*.f64 x (neg.f64 x)) 1)
(*.f64 x (neg.f64 x))
(pow.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) 2)
(*.f64 x (neg.f64 x))
(pow.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) 3)
(*.f64 x (neg.f64 x))
(pow.f64 (pow.f64 (*.f64 x (neg.f64 x)) 3) 1/3)
(*.f64 x (neg.f64 x))
(pow.f64 (/.f64 -1 (*.f64 x x)) -1)
(*.f64 x (neg.f64 x))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(neg.f64 (/.f64 (*.f64 x x) 1))
(*.f64 x (neg.f64 x))
(sqrt.f64 (*.f64 x (pow.f64 x 3)))
(sqrt.f64 (pow.f64 x 4))
(log.f64 (pow.f64 (exp.f64 (neg.f64 x)) x))
(*.f64 x (neg.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (neg.f64 x)))))
(*.f64 x (neg.f64 x))
(cbrt.f64 (pow.f64 (*.f64 x (neg.f64 x)) 3))
(*.f64 x (neg.f64 x))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 -1 x) 3)))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 x 3) -1) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (neg.f64 x))))
(*.f64 x (neg.f64 x))
(exp.f64 (log.f64 (*.f64 x (neg.f64 x))))
(*.f64 x (neg.f64 x))
(log1p.f64 (expm1.f64 (*.f64 x (neg.f64 x))))
(*.f64 x (neg.f64 x))

localize18.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.9%
(/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
99.7%
(/.f64 (-.f64 1 (cos.f64 x)) x)
99.5%
(/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
96.9%
(-.f64 1 (cos.f64 x))
Compiler

Compiled 38 to 20 computations (47.4% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite87.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1390×associate-/r/
1120×*-commutative
812×associate-/l/
530×distribute-lft-neg-in
408×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01260
126446
2392146
Stop Event
node limit
Counts
2 → 233
Calls
Call 1
Inputs
(/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
Outputs
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simplify121.0ms (1%)

Algorithm
egg-herbie
Rules
932×associate-*r/
894×*-commutative
726×associate-*l/
658×associate-/l*
610×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05428529
118207937
266817937
Stop Event
node limit
Counts
257 → 327
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
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(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
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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))
-2
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(*.f64 (/.f64 1 (/.f64 -1 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2))) (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2))) (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) -1) (/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2) -1) (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2) 1) (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x))
(*.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 x x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(*.f64 (/.f64 (*.f64 x x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 x x) (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 (*.f64 x x) (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 x x) (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (-.f64 (neg.f64 (cos.f64 x)) 1))))
(*.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1) x)
(*.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 -1 (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) 1) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 x))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) 1) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 x))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) (cbrt.f64 (+.f64 -1 (cos.f64 x)))) (cbrt.f64 x))
(*.f64 (neg.f64 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) (*.f64 (/.f64 (cbrt.f64 x) (-.f64 1 (cos.f64 x))) x))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 x) 1)) (*.f64 (sqrt.f64 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 x) (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 x))
(*.f64 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 x (-.f64 1 (cos.f64 x))))) (cbrt.f64 x))
(*.f64 (neg.f64 (*.f64 1 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 (neg.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 (neg.f64 (/.f64 -1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
(*.f64 (neg.f64 (*.f64 -1 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 (neg.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 (cbrt.f64 x) -1) x))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 (sqrt.f64 x) 1) x))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(pow.f64 (/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 3) 1/3)
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) -1)
(pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 1)
(neg.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(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)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(exp.f64 (log.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 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)))
(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)) (*.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))
-2
(-.f64 (*.f64 -1/6 (pow.f64 x 2)) 2)
(fma.f64 -1/6 (*.f64 x x) -2)
(-.f64 (+.f64 (*.f64 -1/120 (pow.f64 x 4)) (*.f64 -1/6 (pow.f64 x 2))) 2)
(+.f64 (*.f64 (pow.f64 x 4) -1/120) (fma.f64 -1/6 (*.f64 x x) -2))
(fma.f64 (pow.f64 x 4) -1/120 (fma.f64 -1/6 (*.f64 x x) -2))
(-.f64 (+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/3024 (pow.f64 x 6)))) 2)
(+.f64 (fma.f64 -1/120 (pow.f64 x 4) (fma.f64 -1/6 (*.f64 x x) (*.f64 (pow.f64 x 6) -1/3024))) -2)
(+.f64 (fma.f64 (pow.f64 x 4) -1/120 (fma.f64 (pow.f64 x 6) -1/3024 (*.f64 -1/6 (*.f64 x x)))) -2)
(+.f64 (fma.f64 (pow.f64 x 4) -1/120 (fma.f64 -1/6 (*.f64 x x) -2)) (*.f64 (pow.f64 x 6) -1/3024))
(*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 x (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 x (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 x (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 x (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 x (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 x (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 x (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(*.f64 x (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(+.f64 (*.f64 (/.f64 -1 x) (/.f64 -1 x)) (*.f64 (/.f64 -1 x) (neg.f64 (/.f64 (cos.f64 x) x))))
(*.f64 (/.f64 -1 x) (+.f64 (/.f64 -1 x) (/.f64 (neg.f64 (cos.f64 x)) x)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 -1 x) (/.f64 -1 x)) (*.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 -1 x)))
(*.f64 (/.f64 -1 x) (+.f64 (/.f64 -1 x) (/.f64 (neg.f64 (cos.f64 x)) x)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (*.f64 x x)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 -1 x))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (*.f64 -1 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))
(neg.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 -1 x)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x 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))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (/.f64 -1 x)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)
(*.f64 (/.f64 -1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) -1)
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 -1 x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (/.f64 -1 x)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (/.f64 1 (sqrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 -1 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (*.f64 -1 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2))
(/.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (*.f64 1 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2))
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 (/.f64 -1 x) (sqrt.f64 x)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)
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(*.f64 x (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 2))
(fabs.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 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 x 3) (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))

localize17.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.8%
(*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x))
99.7%
(*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))
96.7%
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))
Compiler

Compiled 44 to 24 computations (45.5% saved)

series5.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x))
1.0ms
x
@inf
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))
0.0ms
x
@-inf
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))
0.0ms
x
@inf
(*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x))
0.0ms
x
@0
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))

rewrite112.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1064×associate-/r*
1010×associate-/l*
1008×*-commutative
714×distribute-lft-in
684×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01175
123351
2329851
Stop Event
node limit
Counts
3 → 377
Calls
Call 1
Inputs
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))
(*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))
(*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x))
Outputs
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(2) ((x exp.f64 (log.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))))))))

simplify153.0ms (1.2%)

Algorithm
egg-herbie
Rules
1478×associate-/r*
1350×associate-*r*
1162×associate-/r/
1146×associate-*l*
1014×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
086618979
1253118615
Stop Event
node limit
Counts
413 → 616
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5))))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5)))))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x))
(/.f64 -1 x)
(-.f64 (*.f64 1/2 x) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) (/.f64 1 x))
(*.f64 -1 (/.f64 (cos.f64 x) x))
(*.f64 -1 (/.f64 (cos.f64 x) x))
(*.f64 -1 (/.f64 (cos.f64 x) x))
(*.f64 -1 (/.f64 (cos.f64 x) x))
(*.f64 -1 (/.f64 (cos.f64 x) x))
(*.f64 -1 (/.f64 (cos.f64 x) x))
(*.f64 -1 (/.f64 (cos.f64 x) x))
(*.f64 -1 (/.f64 (cos.f64 x) x))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))
(-.f64 (/.f64 1 x) (-.f64 (/.f64 (cos.f64 x) x) (fma.f64 (/.f64 (cos.f64 x) x) 1 (/.f64 (cos.f64 x) x))))
(-.f64 (/.f64 1 x) (-.f64 (/.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) (/.f64 1 x) (/.f64 (cos.f64 x) x))))
(-.f64 (/.f64 1 x) (-.f64 (/.f64 (cos.f64 x) x) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(-.f64 (/.f64 1 x) (-.f64 (/.f64 (cos.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))))
(-.f64 (/.f64 1 x) (-.f64 (/.f64 (cos.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x))))
(-.f64 0 (-.f64 (/.f64 (cos.f64 x) x) (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (cos.f64 x)) x))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (cos.f64 x)) x))) (-.f64 1 (fma.f64 (/.f64 (cos.f64 x) x) 1 (/.f64 (cos.f64 x) x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (cos.f64 x)) x))) (-.f64 1 (fma.f64 (cos.f64 x) (/.f64 1 x) (/.f64 (cos.f64 x) x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (cos.f64 x)) x))) (-.f64 1 (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (cos.f64 x)) x))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (cos.f64 x)) x))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (+.f64 1 (/.f64 (cos.f64 x) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))))))
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(/.f64 (/.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3))) (neg.f64 x)) (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2) -1) (/.f64 (+.f64 1 (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3))) (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)))) (neg.f64 x))
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) 1) (neg.f64 x))
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) (cbrt.f64 (*.f64 x x))) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) -1) x)
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) (neg.f64 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x))
(pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 3) (pow.f64 x -3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))))
(exp.f64 (log.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/720 (pow.f64 x 5))))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5)))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -1/40320 (pow.f64 x 7) (*.f64 1/720 (pow.f64 x 5)))))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) x)
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) x))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))
(/.f64 -1 x)
(-.f64 (*.f64 1/2 x) (/.f64 1 x))
(fma.f64 1/2 x (/.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) (/.f64 1 x))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (fma.f64 1/2 x (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5)))) (/.f64 1 x))
(+.f64 (fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/720 (pow.f64 x 5)))) (/.f64 -1 x))
(*.f64 -1 (/.f64 (cos.f64 x) x))
(/.f64 (neg.f64 (cos.f64 x)) x)
(*.f64 -1 (/.f64 (cos.f64 x) x))
(/.f64 (neg.f64 (cos.f64 x)) x)
(*.f64 -1 (/.f64 (cos.f64 x) x))
(/.f64 (neg.f64 (cos.f64 x)) x)
(*.f64 -1 (/.f64 (cos.f64 x) x))
(/.f64 (neg.f64 (cos.f64 x)) x)
(*.f64 -1 (/.f64 (cos.f64 x) x))
(/.f64 (neg.f64 (cos.f64 x)) x)
(*.f64 -1 (/.f64 (cos.f64 x) x))
(/.f64 (neg.f64 (cos.f64 x)) x)
(*.f64 -1 (/.f64 (cos.f64 x) x))
(/.f64 (neg.f64 (cos.f64 x)) x)
(*.f64 -1 (/.f64 (cos.f64 x) x))
(/.f64 (neg.f64 (cos.f64 x)) x)
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(+.f64 1/2 (+.f64 (*.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 (neg.f64 (cos.f64 x))) (*.f64 x x))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x 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 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) 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 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) 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 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) 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 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) x)
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))
(-.f64 (/.f64 1 x) (-.f64 (/.f64 (cos.f64 x) x) (fma.f64 (/.f64 (cos.f64 x) x) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (cos.f64 x) x) 1 (/.f64 (cos.f64 x) x)))
(+.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) (fma.f64 (cos.f64 x) (/.f64 1 x) (/.f64 (cos.f64 x) x)))
(-.f64 (/.f64 1 x) (-.f64 (/.f64 (cos.f64 x) x) (fma.f64 (cos.f64 x) (/.f64 1 x) (/.f64 (cos.f64 x) x))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (cos.f64 x) x) 1 (/.f64 (cos.f64 x) x)))
(+.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) (fma.f64 (cos.f64 x) (/.f64 1 x) (/.f64 (cos.f64 x) x)))
(-.f64 (/.f64 1 x) (-.f64 (/.f64 (cos.f64 x) x) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)))
(+.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)))
(-.f64 (/.f64 1 x) (-.f64 (/.f64 (cos.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (+.f64 (neg.f64 (pow.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) 2)) (/.f64 (cos.f64 x) x)))
(+.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) (+.f64 (/.f64 (cos.f64 x) x) (neg.f64 (pow.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) 2))))
(-.f64 (/.f64 1 x) (-.f64 (/.f64 (cos.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)))
(+.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)))
(-.f64 0 (-.f64 (/.f64 (cos.f64 x) x) (/.f64 1 x)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (cos.f64 x)) x))) 1)
(/.f64 (+.f64 1 (cos.f64 x)) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (cos.f64 x)) x))) (-.f64 1 (fma.f64 (/.f64 (cos.f64 x) x) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (fma.f64 (/.f64 (cos.f64 x) x) 1 (/.f64 (cos.f64 x) x)))
(+.f64 (fma.f64 (cos.f64 x) (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 (+.f64 1 (cos.f64 x)) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (cos.f64 x)) x))) (-.f64 1 (fma.f64 (cos.f64 x) (/.f64 1 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (fma.f64 (/.f64 (cos.f64 x) x) 1 (/.f64 (cos.f64 x) x)))
(+.f64 (fma.f64 (cos.f64 x) (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 (+.f64 1 (cos.f64 x)) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (cos.f64 x)) x))) (-.f64 1 (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)))
(+.f64 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (+.f64 1 (cos.f64 x)) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (cos.f64 x)) x))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (+.f64 (neg.f64 (pow.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) 2)) (/.f64 (cos.f64 x) x)))
(+.f64 (+.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (neg.f64 (pow.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) 2))) (/.f64 (cos.f64 x) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (cos.f64 x)) x))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)))
(+.f64 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 (+.f64 1 (cos.f64 x)) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (+.f64 1 (/.f64 (cos.f64 x) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (*.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1) (neg.f64 (pow.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) 2)))
(+.f64 (neg.f64 (pow.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) 2)) (-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (*.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (+.f64 1 (/.f64 (cos.f64 x) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 x) x))) (-.f64 1 (/.f64 1 x)))
(+.f64 (/.f64 (cos.f64 x) x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))
(-.f64 (/.f64 0 x) (-.f64 (/.f64 (cos.f64 x) x) (/.f64 1 x)))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))
(-.f64 (*.f64 (pow.f64 x -2) (/.f64 x (+.f64 1 (cos.f64 x)))) (*.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (/.f64 x (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 x (+.f64 1 (cos.f64 x))) (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2)))
(-.f64 (*.f64 (pow.f64 x -2) (/.f64 x (+.f64 1 (cos.f64 x)))) (-.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (/.f64 x (+.f64 1 (cos.f64 x)))) (fma.f64 (/.f64 (cos.f64 x) x) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (*.f64 (/.f64 x (+.f64 1 (cos.f64 x))) (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2))) (fma.f64 (/.f64 (cos.f64 x) x) 1 (/.f64 (cos.f64 x) x)))
(+.f64 (fma.f64 (cos.f64 x) (/.f64 1 x) (/.f64 (cos.f64 x) x)) (*.f64 (/.f64 x (+.f64 1 (cos.f64 x))) (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2))))
(-.f64 (*.f64 (pow.f64 x -2) (/.f64 x (+.f64 1 (cos.f64 x)))) (-.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (/.f64 x (+.f64 1 (cos.f64 x)))) (fma.f64 (cos.f64 x) (/.f64 1 x) (/.f64 (cos.f64 x) x))))
(+.f64 (*.f64 (/.f64 x (+.f64 1 (cos.f64 x))) (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2))) (fma.f64 (/.f64 (cos.f64 x) x) 1 (/.f64 (cos.f64 x) x)))
(+.f64 (fma.f64 (cos.f64 x) (/.f64 1 x) (/.f64 (cos.f64 x) x)) (*.f64 (/.f64 x (+.f64 1 (cos.f64 x))) (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2))))
(-.f64 (*.f64 (pow.f64 x -2) (/.f64 x (+.f64 1 (cos.f64 x)))) (-.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (/.f64 x (+.f64 1 (cos.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (*.f64 (/.f64 x (+.f64 1 (cos.f64 x))) (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2))) (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)))
(+.f64 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (*.f64 (/.f64 x (+.f64 1 (cos.f64 x))) (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2))))
(-.f64 (*.f64 (pow.f64 x -2) (/.f64 x (+.f64 1 (cos.f64 x)))) (-.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (/.f64 x (+.f64 1 (cos.f64 x)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))))
(+.f64 (*.f64 (/.f64 x (+.f64 1 (cos.f64 x))) (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2))) (+.f64 (neg.f64 (pow.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) 2)) (/.f64 (cos.f64 x) x)))
(+.f64 (+.f64 (/.f64 (cos.f64 x) x) (neg.f64 (pow.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) 2))) (*.f64 (/.f64 x (+.f64 1 (cos.f64 x))) (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2))))
(-.f64 (*.f64 (pow.f64 x -2) (/.f64 x (+.f64 1 (cos.f64 x)))) (-.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (/.f64 x (+.f64 1 (cos.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x))))
(+.f64 (*.f64 (/.f64 x (+.f64 1 (cos.f64 x))) (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2))) (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)))
(+.f64 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)) (*.f64 (/.f64 x (+.f64 1 (cos.f64 x))) (-.f64 (pow.f64 x -2) (pow.f64 (/.f64 (cos.f64 x) x) 2))))
(-.f64 (+.f64 (/.f64 1 x) 0) (/.f64 (cos.f64 x) x))
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(/.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (/.f64 x (+.f64 1 (cos.f64 x))))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3))) (/.f64 1 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3)) (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2) x) (/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3)) (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (+.f64 1 (cos.f64 x))) (/.f64 1 x))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (+.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 (cos.f64 x) x)))) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 (cos.f64 x) x))))
(/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (*.f64 (+.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) (pow.f64 x -1/2)) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 (cos.f64 x) x)))))
(/.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2) x) (*.f64 (+.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) (pow.f64 x -1/2)) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 (cos.f64 x) x)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2) -1) (neg.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) x))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3))) (neg.f64 x)) (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 (/.f64 1 (*.f64 x (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))))) (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3)))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3)) (*.f64 x (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2) -1) (/.f64 (+.f64 1 (cos.f64 x)) x)) (neg.f64 x))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3))) (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)))) (neg.f64 x))
(*.f64 (/.f64 1 (*.f64 x (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))))) (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3)))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3)) (*.f64 x (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) 1) (neg.f64 x))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) (cbrt.f64 (*.f64 x x))) (neg.f64 (cbrt.f64 x)))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 x) (*.f64 x (cbrt.f64 (*.f64 x x)))))
(/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) -1) x)
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 (+.f64 1 (cos.f64 x))) x) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 (+.f64 1 (cos.f64 x))) x) (*.f64 (cbrt.f64 (neg.f64 x)) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))))
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) (neg.f64 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 x) (*.f64 x (cbrt.f64 (*.f64 x x)))))
(/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))) 3)
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3)
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) 3))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 3) (pow.f64 x -3)))
(cbrt.f64 (*.f64 (pow.f64 x -3) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))
(exp.f64 (log.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x))

eval562.0ms (4.6%)

Compiler

Compiled 37203 to 20414 computations (45.1% saved)

prune1.1s (8.8%)

Pruning

26 alts after pruning (18 fresh and 8 done)

PrunedKeptTotal
New181161817
Fresh41216
Picked011
Done077
Total1815261841
Accurracy
100.0%
Counts
1841 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.1%
(pow.f64 (*.f64 (/.f64 x (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) -1)
57.4%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
99.8%
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) (neg.f64 x))
57.4%
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
57.4%
(/.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) (neg.f64 x))
57.3%
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)
56.4%
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
56.3%
(/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (/.f64 -1 x)))
76.8%
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
22.9%
(/.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 x (/.f64 -1 x)))
56.4%
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
57.0%
(/.f64 -1 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 -1 x)))
57.1%
(/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
23.4%
(/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (*.f64 (*.f64 1/2 x) x) x)))
57.1%
(/.f64 -1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x)))
56.6%
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x)))
44.9%
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
56.3%
(*.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) (/.f64 1 x))
23.3%
(*.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (/.f64 1 x))
76.5%
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x))
99.7%
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
29.6%
(*.f64 (+.f64 (/.f64 1 x) (/.f64 -1 x)) (/.f64 1 x))
57.2%
(*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x))
44.6%
(*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) (/.f64 1 x))
46.3%
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
46.4%
1/2
Compiler

Compiled 514 to 361 computations (29.8% saved)

localize149.0ms (1.2%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.9%
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) (neg.f64 x))
99.7%
(/.f64 x (tan.f64 (*.f64 x 1/2)))
99.7%
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2))))
Compiler

Compiled 46 to 25 computations (45.7% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite246.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
1514×associate-/r/
1028×associate-/l/
608×distribute-lft-neg-in
294×add-sqr-sqrt
288×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01389
128677
2439777
Stop Event
node limit
Counts
3 → 263
Calls
Call 1
Inputs
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2))))
(/.f64 x (tan.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) (neg.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 0 x) (tan.f64 (*.f64 x 1/2))) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (*.f64 (/.f64 0 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (/.f64 0 x) (tan.f64 (*.f64 x 1/2))) 0) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (/.f64 0 x) (tan.f64 (*.f64 x 1/2))) (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (/.f64 0 x) (tan.f64 (*.f64 x 1/2))) (*.f64 (/.f64 0 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 0) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 0 x) (tan.f64 (*.f64 x 1/2))) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))))) (#(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)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule 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simplify141.0ms (1.1%)

Algorithm
egg-herbie
Rules
1142×associate-*r*
1026×associate-*l*
954×*-commutative
818×associate-/l*
696×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061010445
1185710011
2791710011
Stop Event
node limit
Counts
299 → 365
Calls
Call 1
Inputs
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/720 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/40320 (pow.f64 x 7)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/720 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)))
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)))
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 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))
(+.f64 (*.f64 (/.f64 0 x) (tan.f64 (*.f64 x 1/2))) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))) 1)
(+.f64 (-.f64 0 (*.f64 (/.f64 0 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))
(+.f64 (-.f64 (*.f64 (/.f64 0 x) (tan.f64 (*.f64 x 1/2))) 0) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))
(+.f64 (-.f64 (*.f64 (/.f64 0 x) (tan.f64 (*.f64 x 1/2))) (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))) 1)
(+.f64 (-.f64 (*.f64 (/.f64 0 x) (tan.f64 (*.f64 x 1/2))) (*.f64 (/.f64 0 x) (tan.f64 (*.f64 x 1/2)))) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))
(+.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 0) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))
(-.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) 1)
(-.f64 (*.f64 (/.f64 0 x) (tan.f64 (*.f64 x 1/2))) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 1)
(*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))
(*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.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)) x)))
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (sin.f64 x) x) (neg.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 -1 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sin.f64 x))
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) 1) (tan.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x)))
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(+.f64 (-.f64 (*.f64 (/.f64 0 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (*.f64 (/.f64 0 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))) 1)
(-.f64 (*.f64 (/.f64 0 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 x) (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 1 x)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (/.f64 1 x))
(*.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) 1)
(*.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (/.f64 1 x)))
(*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) x))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) (*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))
(*.f64 -1 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2))))))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (sqrt.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 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (sqrt.f64 x)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2))))))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (cbrt.f64 x) x)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) x) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) -1) (/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) x))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 x) x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 x) x)) (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) x)) (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 1 x) 1) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (neg.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (-.f64 0 (*.f64 x x))) x)
(*.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (-.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))
(*.f64 (/.f64 1 (*.f64 x (/.f64 x (sin.f64 x)))) (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) x) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 x (/.f64 x (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (neg.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 -1 (/.f64 x (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))
(*.f64 (/.f64 -1 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))
(*.f64 (/.f64 -1 (*.f64 x (/.f64 x (sin.f64 x)))) (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (/.f64 1 x) x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (/.f64 1 x) (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))) (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))))
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2)) (*.f64 (sin.f64 x) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (*.f64 (sqrt.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (sin.f64 x)))
(*.f64 (neg.f64 (/.f64 1 x)) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (tan.f64 (*.f64 x 1/2))))
(*.f64 (neg.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 (neg.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2))))))
(*.f64 (neg.f64 (/.f64 1 (sqrt.f64 x))) (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))) 2))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (sqrt.f64 x))) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 x) x)))
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (cbrt.f64 x) x)))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (cbrt.f64 x)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) 1)) (/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) x))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (sqrt.f64 x)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) -1)) (/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) x))
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 x) x))) (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x)))
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) x))) (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 x)))
(pow.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (tan.f64 (*.f64 x 1/2))) -1)
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))))
Outputs
(*.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 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) x)))
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) x))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) x)))
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) x))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) x)))
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) x))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) x)))
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) x))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) x)))
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) x))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) x)))
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) x))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) x)))
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) x))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x)))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) x)))
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) x))
2
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2)))
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1/2
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(*.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))) 2))
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)))
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (sqrt.f64 x))) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 x) x)))
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)))
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (cbrt.f64 x) x)))
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (cbrt.f64 x)))
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) 1)) (/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) x))
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (sqrt.f64 x)))
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 2)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 2)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) -1)) (/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) x))
(+.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 x) x))) (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x)))
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)))
(*.f64 (neg.f64 (/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) x))) (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 x)))
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)))
(pow.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) 1)
(+.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))) 2)
(+.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))) 3)
(+.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(+.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(pow.f64 (/.f64 (*.f64 x (/.f64 x (sin.f64 x))) (tan.f64 (*.f64 x 1/2))) -1)
(+.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) 2))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 2))
(fabs.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))))
(+.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))))
(+.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) 3))
(+.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3) (pow.f64 x 3)))
(+.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))))
(+.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))))
(+.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))) 1))
(+.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))))
(+.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))

localize11.0ms (0.1%)

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize10.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.9%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
99.7%
(/.f64 (-.f64 1 (cos.f64 x)) x)
96.9%
(-.f64 1 (cos.f64 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 (cos.f64 x)) x) x)
0.0ms
x
@inf
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
0.0ms
x
@-inf
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)

rewrite69.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
980×*-commutative
752×associate-/l/
716×associate-/r/
686×unswap-sqr
610×swap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
119323
2271523
Stop Event
node limit
Counts
1 → 80
Calls
Call 1
Inputs
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
Outputs
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simplify59.0ms (0.5%)

Algorithm
egg-herbie
Rules
1440×times-frac
1386×associate-/l*
938×associate-/r*
680×unswap-sqr
576×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02092642
15912504
219052500
Stop Event
node limit
Counts
92 → 99
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))
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(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3)
(pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1 x)))
(neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x)))
(neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 1))
(neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 -1 x)))
(neg.f64 (*.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))))
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 (*.f64 -1/24 x) x)))
(fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) 1/2))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 (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 (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 x (*.f64 -1/24 x))) (fma.f64 1/720 (pow.f64 x 4) 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (/.f64 1 (sqrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 1 (*.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x))))
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.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 (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 (*.f64 x (sqrt.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (/.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 (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.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 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.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 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x 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 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x 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 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) 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)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.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 (/.f64 1 x) 1) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x))))
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 (cos.f64 x) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x 1)) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 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))) 3/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3/2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/6))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1/2) (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 -1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (*.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

localize15.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.9%
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x))
99.8%
(/.f64 x (-.f64 1 (cos.f64 x)))
99.5%
(/.f64 -1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x)))
96.9%
(-.f64 1 (cos.f64 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 -1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x)))
0.0ms
x
@inf
(/.f64 -1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x)))
0.0ms
x
@-inf
(/.f64 -1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x)))
0.0ms
x
@0
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x))
0.0ms
x
@inf
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x))

rewrite88.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1570×associate-/l*
1040×*-commutative
770×associate-/r/
464×associate-/l/
406×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01260
125646
2350346
Stop Event
node limit
Counts
2 → 196
Calls
Call 1
Inputs
(/.f64 -1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x)))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x))
Outputs
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simplify117.0ms (1%)

Algorithm
egg-herbie
Rules
712×associate-/l*
622×associate-/r*
554×associate-/r/
552×associate-*l/
550×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04618254
113587672
254557504
Stop Event
node limit
Counts
220 → 337
Calls
Call 1
Inputs
1/2
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(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
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(+.f64 (*.f64 1 (/.f64 x (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) x))) (*.f64 (cos.f64 x) (/.f64 x (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) x))))
(+.f64 (*.f64 (cos.f64 x) (/.f64 x (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) x))) (*.f64 1 (/.f64 x (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) x))))
(+.f64 (*.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (/.f64 (*.f64 x x) (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(+.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (/.f64 (*.f64 x x) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(+.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 x x) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (*.f64 (cos.f64 x) (/.f64 (*.f64 x x) (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(-.f64 0 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))))) 1)
(/.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(/.f64 1 (/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) 2)))
(/.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (/.f64 -1 x))
(/.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (/.f64 1 x))
(/.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (/.f64 (/.f64 -1 x) 1))
(/.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (*.f64 -1 (/.f64 -1 x)))
(/.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (*.f64 1 (/.f64 -1 x)))
(/.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))) -1)
(/.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))) 1)
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 -1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 -1 (*.f64 (/.f64 -1 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 1 (*.f64 (/.f64 -1 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) (/.f64 (/.f64 -1 x) (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x))))))
(/.f64 (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) (/.f64 -1 (*.f64 x (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))))))
(/.f64 (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) (/.f64 1 (*.f64 x (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))))))
(/.f64 (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) (/.f64 (*.f64 (/.f64 -1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))))
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 (/.f64 -1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x))))))
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 -1 x) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))))
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 -1 x) (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 x))))
(/.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) 2)))
(/.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) (/.f64 -1 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) 2)))
(/.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) (/.f64 (*.f64 (/.f64 -1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))))
(/.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) (/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) 2) (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 2) (/.f64 (/.f64 -1 x) (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x))))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 2) (/.f64 -1 (*.f64 x (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 2) (/.f64 1 (*.f64 x (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))))))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 -1 x) (*.f64 (cbrt.f64 x) (/.f64 -1 (+.f64 -1 (cos.f64 x))))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 -1 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (cbrt.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (cbrt.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 -1 x) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 -1 x) (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x x) (+.f64 -1 (cos.f64 x)))
(/.f64 (*.f64 x x) (/.f64 -1 (/.f64 -1 (+.f64 -1 (cos.f64 x)))))
(/.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x))) (/.f64 (/.f64 -1 x) x))
(/.f64 (sqrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (/.f64 (*.f64 (/.f64 -1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) 2)) (/.f64 (*.f64 (/.f64 -1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) 2)) (/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) 2))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) 2))) (/.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) 2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 x (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))
(/.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 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 x)))
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)))
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 2)) (/.f64 -1 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.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))) (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 (/.f64 x (+.f64 -1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (cbrt.f64 x)))
(/.f64 (*.f64 x (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x))))) (*.f64 -1 (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 (/.f64 1 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 x (/.f64 1 x)) (+.f64 -1 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 -1 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (*.f64 (/.f64 -1 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 -1 x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (/.f64 -1 x) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 x (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 x (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) x)) (/.f64 -1 (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 x x) (-.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 (*.f64 x x) (-.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 x (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (/.f64 -1 x) (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (/.f64 -1 x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (-.f64 0 (*.f64 x x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))
(/.f64 (-.f64 0 (pow.f64 x 3)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (*.f64 x x) 0)))
(/.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))))
(/.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (/.f64 -1 x) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (/.f64 -1 x) (/.f64 (cbrt.f64 x) (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 -1 x) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (/.f64 -1 x) (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x))))))
(pow.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))) 1)
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))) 3) 1/3)
(neg.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))))
(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)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 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 x (/.f64 x (+.f64 -1 (cos.f64 x))))))
(exp.f64 (log.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 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)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.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))
-2
(-.f64 (*.f64 -1/6 (pow.f64 x 2)) 2)
(fma.f64 -1/6 (*.f64 x x) -2)
(-.f64 (+.f64 (*.f64 -1/120 (pow.f64 x 4)) (*.f64 -1/6 (pow.f64 x 2))) 2)
(+.f64 (*.f64 (pow.f64 x 4) -1/120) (fma.f64 -1/6 (*.f64 x x) -2))
(fma.f64 (pow.f64 x 4) -1/120 (fma.f64 -1/6 (*.f64 x x) -2))
(-.f64 (+.f64 (*.f64 -1/120 (pow.f64 x 4)) (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/3024 (pow.f64 x 6)))) 2)
(+.f64 (fma.f64 -1/120 (pow.f64 x 4) (fma.f64 -1/6 (*.f64 x x) (*.f64 (pow.f64 x 6) -1/3024))) -2)
(+.f64 (fma.f64 (pow.f64 x 4) -1/120 (fma.f64 (pow.f64 x 6) -1/3024 (*.f64 x (*.f64 x -1/6)))) -2)
(+.f64 (fma.f64 (pow.f64 x 4) -1/120 (fma.f64 -1/6 (*.f64 x x) -2)) (*.f64 (pow.f64 x 6) -1/3024))
(*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))))
(neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
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(*.f64 (cbrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1))) 2) -1) x))
(/.f64 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 (/.f64 -1 x) (-.f64 1 (cos.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 x (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 -1 x)) (/.f64 (*.f64 (cbrt.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 (cbrt.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) -1)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) -1) x))
(*.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(/.f64 (*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (cbrt.f64 x) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (*.f64 x (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x))))) (*.f64 -1 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 x (/.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1)))))
(*.f64 (/.f64 x (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (sqrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1))))
(/.f64 (*.f64 x (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x))))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)))
(/.f64 x (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (sqrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1)))))
(*.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x))) (sqrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1))))
(*.f64 (sqrt.f64 x) (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1))))))
(/.f64 (/.f64 x (/.f64 1 x)) (-.f64 1 (cos.f64 x)))
(*.f64 x (neg.f64 (/.f64 x (+.f64 (cos.f64 x) -1))))
(*.f64 x (/.f64 (neg.f64 x) (+.f64 (cos.f64 x) -1)))
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (/.f64 x (/.f64 1 x)) (+.f64 -1 (cos.f64 x)))
(neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 x (neg.f64 (/.f64 x (+.f64 (cos.f64 x) -1))))
(*.f64 x (/.f64 (neg.f64 x) (+.f64 (cos.f64 x) -1)))
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 x (neg.f64 (/.f64 x (+.f64 (cos.f64 x) -1))))
(*.f64 x (/.f64 (neg.f64 x) (+.f64 (cos.f64 x) -1)))
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 x (neg.f64 (/.f64 x (+.f64 (cos.f64 x) -1))))
(*.f64 x (/.f64 (neg.f64 x) (+.f64 (cos.f64 x) -1)))
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 -1 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))))
(neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (*.f64 (/.f64 -1 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(/.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 -1 x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (/.f64 -1 x) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))))
(neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(/.f64 (/.f64 x (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) x) (+.f64 1 (cos.f64 x)))
(*.f64 (*.f64 x (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 1 (cos.f64 x)))
(/.f64 (/.f64 x (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) x)) (/.f64 -1 (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) x) -1) (+.f64 1 (cos.f64 x)))
(/.f64 x (/.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x (+.f64 1 (cos.f64 x)))))
(*.f64 (+.f64 1 (cos.f64 x)) (/.f64 x (*.f64 -1 (/.f64 (sin.f64 x) (/.f64 x (sin.f64 x))))))
(/.f64 (/.f64 (*.f64 x x) (-.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 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(*.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (/.f64 (*.f64 x x) (-.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 (/.f64 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x)) -1) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 x x) (*.f64 -1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(*.f64 (/.f64 x (/.f64 -1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (/.f64 -1 x) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) x) -1) (+.f64 1 (cos.f64 x)))
(/.f64 x (/.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x (+.f64 1 (cos.f64 x)))))
(*.f64 (+.f64 1 (cos.f64 x)) (/.f64 x (*.f64 -1 (/.f64 (sin.f64 x) (/.f64 x (sin.f64 x))))))
(/.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (/.f64 -1 x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(*.f64 (/.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 -1 x)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) -1) x))
(*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (/.f64 x (*.f64 (/.f64 -1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(/.f64 (-.f64 0 (*.f64 x x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x))
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (*.f64 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))) x) x)
(*.f64 (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)) (/.f64 x x))
(/.f64 (-.f64 0 (pow.f64 x 3)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (*.f64 x x) 0)))
(/.f64 (neg.f64 (pow.f64 x 3)) (*.f64 (*.f64 x x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (neg.f64 (pow.f64 x 3)) (*.f64 x (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (/.f64 (neg.f64 (pow.f64 x 3)) (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 x (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (/.f64 -1 x) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 (/.f64 -1 x) (-.f64 1 (cos.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (/.f64 -1 x) (/.f64 (cbrt.f64 x) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 -1 x)) (/.f64 (*.f64 (cbrt.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 (cbrt.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) -1)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) -1) x))
(*.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 -1 x) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 -1 x)) (/.f64 (*.f64 (cbrt.f64 x) -1) (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 (cbrt.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) -1)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) -1) x))
(*.f64 (/.f64 x (+.f64 (cos.f64 x) -1)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (/.f64 -1 x) (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x))))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 (/.f64 -1 x) (cbrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1))) (*.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) -1) x))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (/.f64 x (+.f64 (cos.f64 x) -1)))))
(pow.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))) 1)
(neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2)
(*.f64 x (neg.f64 (/.f64 x (+.f64 (cos.f64 x) -1))))
(*.f64 x (/.f64 (neg.f64 x) (+.f64 (cos.f64 x) -1)))
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))) 3)
(neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(pow.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))) 3) 1/3)
(neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(neg.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))))
(*.f64 x (neg.f64 (/.f64 x (+.f64 (cos.f64 x) -1))))
(*.f64 x (/.f64 (neg.f64 x) (+.f64 (cos.f64 x) -1)))
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))) 2))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))) 2))
(fabs.f64 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))))
(fabs.f64 (/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 -1 (cos.f64 x)))))
(neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))))))
(neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))) 3))
(neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 3) (pow.f64 x 3)))
(neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))))
(neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(exp.f64 (log.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))))
(neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))))
(neg.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))
(/.f64 (*.f64 x x) (+.f64 (cos.f64 x) -1))

localize14.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.8%
(*.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) (/.f64 1 x))
99.7%
(*.f64 x (cos.f64 x))
96.9%
(-.f64 x (*.f64 x (cos.f64 x)))
52.5%
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x))
Compiler

Compiled 45 to 12 computations (73.3% saved)

series3.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite123.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1278×associate-/l/
944×associate-/r/
800×distribute-rgt-in
754×distribute-lft-in
276×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01292
126786
2406180
Stop Event
node limit
Counts
4 → 333
Calls
Call 1
Inputs
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x))
(-.f64 x (*.f64 x (cos.f64 x)))
(*.f64 x (cos.f64 x))
(*.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) (/.f64 1 x))
Outputs
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simplify152.0ms (1.2%)

Algorithm
egg-herbie
Rules
1574×associate-/l*
1478×associate-*r*
1416×associate-/r*
792×*-commutative
534×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081118569
1249017567
Stop Event
node limit
Counts
381 → 475
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5))))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5)))))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(*.f64 1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 -1/24 (pow.f64 x 5)))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/24 (pow.f64 x 5)) (*.f64 1/720 (pow.f64 x 7))))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/24 (pow.f64 x 5)) (+.f64 (*.f64 1/720 (pow.f64 x 7)) (*.f64 -1/40320 (pow.f64 x 9)))))
(*.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(*.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(*.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(*.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
x
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/24 (pow.f64 x 5)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) x))
(+.f64 (*.f64 1/24 (pow.f64 x 5)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/720 (pow.f64 x 7)) x)))
(*.f64 (cos.f64 x) x)
(*.f64 (cos.f64 x) x)
(*.f64 (cos.f64 x) x)
(*.f64 (cos.f64 x) x)
(*.f64 (cos.f64 x) x)
(*.f64 (cos.f64 x) x)
(*.f64 (cos.f64 x) x)
(*.f64 (cos.f64 x) x)
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (*.f64 (pow.f64 x -2) (fma.f64 (neg.f64 (cos.f64 x)) x (*.f64 x (cos.f64 x)))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (*.f64 (pow.f64 x -2) (fma.f64 (neg.f64 x) (cos.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (*.f64 (pow.f64 x -2) (fma.f64 (*.f64 (cos.f64 x) (neg.f64 x)) 1 (*.f64 x (cos.f64 x)))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (*.f64 (pow.f64 x -2) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 x)))) (sqrt.f64 (*.f64 x (cos.f64 x))) (*.f64 x (cos.f64 x)))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (*.f64 (pow.f64 x -2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (cos.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 x))) 2) (*.f64 x (cos.f64 x)))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (*.f64 (fma.f64 (neg.f64 (cos.f64 x)) x (*.f64 x (cos.f64 x))) (pow.f64 x -2)))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 x) (*.f64 x (cos.f64 x))) (pow.f64 x -2)))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (*.f64 (fma.f64 (*.f64 (cos.f64 x) (neg.f64 x)) 1 (*.f64 x (cos.f64 x))) (pow.f64 x -2)))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 x)))) (sqrt.f64 (*.f64 x (cos.f64 x))) (*.f64 x (cos.f64 x))) (pow.f64 x -2)))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (cos.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 x))) 2) (*.f64 x (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 (pow.f64 x -2) (*.f64 (cos.f64 x) (neg.f64 x))))
(+.f64 (/.f64 1 x) (*.f64 (pow.f64 x -2) (*.f64 (*.f64 (cos.f64 x) (neg.f64 x)) 1)))
(+.f64 (/.f64 1 x) (*.f64 (neg.f64 (/.f64 (cos.f64 x) x)) 1))
(+.f64 (/.f64 1 x) (*.f64 (*.f64 (cos.f64 x) (neg.f64 x)) (pow.f64 x -2)))
(+.f64 (/.f64 1 x) (*.f64 (*.f64 (*.f64 (cos.f64 x) (neg.f64 x)) 1) (pow.f64 x -2)))
(+.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x))
(+.f64 (*.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (neg.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 (*.f64 (cos.f64 x) (neg.f64 x)) (pow.f64 x -2)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (/.f64 1 x) (/.f64 (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 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x -2))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) 1)
(*.f64 1 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (*.f64 x (cos.f64 x)))) x) (/.f64 (sqrt.f64 (-.f64 x (*.f64 x (cos.f64 x)))) x))
(*.f64 (sqrt.f64 (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (sqrt.f64 (-.f64 x (*.f64 x (cos.f64 x)))) (pow.f64 x -2)))
(*.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) 2) (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) 2) (*.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) 1))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 x (*.f64 x (cos.f64 x))) 2)) (*.f64 (cbrt.f64 (-.f64 x (*.f64 x (cos.f64 x)))) (pow.f64 x -2)))
(*.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (/.f64 1 x))
(*.f64 (pow.f64 x -2) (-.f64 x (*.f64 x (cos.f64 x))))
(*.f64 (+.f64 (neg.f64 x) (*.f64 x (cos.f64 x))) (/.f64 1 (*.f64 x (neg.f64 x))))
(*.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 (sqrt.f64 x) x)) (pow.f64 x -1/2))
(*.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 (pow.f64 (cbrt.f64 x) 2) x)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (+.f64 (neg.f64 x) (*.f64 x (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (sqrt.f64 (-.f64 x (*.f64 x (cos.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (*.f64 x (cos.f64 x)))) 1) (/.f64 (sqrt.f64 (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (*.f64 x (cos.f64 x)))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 x (*.f64 x (cos.f64 x)))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 x (*.f64 x (cos.f64 x))) 2)) x) (/.f64 (cbrt.f64 (-.f64 x (*.f64 x (cos.f64 x)))) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 x (*.f64 x (cos.f64 x))) 2)) 1) (/.f64 (cbrt.f64 (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 x (*.f64 x (cos.f64 x))) 2)) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))))
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 x (*.f64 x (cos.f64 x)))))) (sqrt.f64 (-.f64 x (*.f64 x (cos.f64 x)))))
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 x (*.f64 x (cos.f64 x))) 2)))) (cbrt.f64 (-.f64 x (*.f64 x (cos.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 x (*.f64 x (cos.f64 x))) 2)) (*.f64 x x)) (cbrt.f64 (-.f64 x (*.f64 x (cos.f64 x)))))
(*.f64 (/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (neg.f64 x)) -1)
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (cos.f64 x)) 2)) (pow.f64 x -2)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (cos.f64 x)) 2))) (-.f64 x (*.f64 x (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (cos.f64 x)) 2)) (pow.f64 x -2)) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3))) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 x (cos.f64 x)) 2) (*.f64 (*.f64 x x) (cos.f64 x)))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3)) (pow.f64 x -2)) (-.f64 (pow.f64 x 4) (*.f64 (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x))))))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x))))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3)) (pow.f64 x -2)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x)))) 3))) (-.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x)))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x)))))))
(pow.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) 1)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 x (*.f64 x (cos.f64 x)))) x) 2)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) 3) 1/3)
(pow.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 x (cos.f64 x))))) -1)
(neg.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (neg.f64 x))))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x (*.f64 x (cos.f64 x))) 3) (pow.f64 (*.f64 x x) 3)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))))
(exp.f64 (log.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))))
(+.f64 x (*.f64 (cos.f64 x) (neg.f64 x)))
(+.f64 x (*.f64 (*.f64 (cos.f64 x) (neg.f64 x)) 1))
(+.f64 x (+.f64 (*.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) x (*.f64 x (cos.f64 x)))))
(+.f64 x (+.f64 (*.f64 (*.f64 (cos.f64 x) (neg.f64 x)) 1) (fma.f64 (neg.f64 (cos.f64 x)) x (*.f64 x (cos.f64 x)))))
(+.f64 x (+.f64 (*.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 x) (cos.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 x (+.f64 (*.f64 (*.f64 (cos.f64 x) (neg.f64 x)) 1) (fma.f64 (neg.f64 x) (cos.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 x (+.f64 (*.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (*.f64 (cos.f64 x) (neg.f64 x)) 1 (*.f64 x (cos.f64 x)))))
(+.f64 x (+.f64 (*.f64 (*.f64 (cos.f64 x) (neg.f64 x)) 1) (fma.f64 (*.f64 (cos.f64 x) (neg.f64 x)) 1 (*.f64 x (cos.f64 x)))))
(+.f64 x (+.f64 (*.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 x)))) (sqrt.f64 (*.f64 x (cos.f64 x))) (*.f64 x (cos.f64 x)))))
(+.f64 x (+.f64 (*.f64 (*.f64 (cos.f64 x) (neg.f64 x)) 1) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 x)))) (sqrt.f64 (*.f64 x (cos.f64 x))) (*.f64 x (cos.f64 x)))))
(+.f64 x (+.f64 (*.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (cos.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 x))) 2) (*.f64 x (cos.f64 x)))))
(+.f64 x (+.f64 (*.f64 (*.f64 (cos.f64 x) (neg.f64 x)) 1) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (cos.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 x))) 2) (*.f64 x (cos.f64 x)))))
(+.f64 x (*.f64 1 (*.f64 (*.f64 (cos.f64 x) (neg.f64 x)) 1)))
(+.f64 x (*.f64 (*.f64 (*.f64 (cos.f64 x) (neg.f64 x)) 1) 1))
(+.f64 (-.f64 x (*.f64 x (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) x (*.f64 x (cos.f64 x))))
(+.f64 (-.f64 x (*.f64 x (cos.f64 x))) (fma.f64 (neg.f64 x) (cos.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 (-.f64 x (*.f64 x (cos.f64 x))) (fma.f64 (*.f64 (cos.f64 x) (neg.f64 x)) 1 (*.f64 x (cos.f64 x))))
(+.f64 (-.f64 x (*.f64 x (cos.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 x)))) (sqrt.f64 (*.f64 x (cos.f64 x))) (*.f64 x (cos.f64 x))))
(+.f64 (-.f64 x (*.f64 x (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (cos.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 x))) 2) (*.f64 x (cos.f64 x))))
(+.f64 (-.f64 x (*.f64 x (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) x (*.f64 x (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) x (*.f64 x (cos.f64 x)))))
(+.f64 (-.f64 x (*.f64 x (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 x) (cos.f64 x) (*.f64 x (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) x (*.f64 x (cos.f64 x)))))
(+.f64 (-.f64 x (*.f64 x (cos.f64 x))) (+.f64 (fma.f64 (*.f64 (cos.f64 x) (neg.f64 x)) 1 (*.f64 x (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) x (*.f64 x (cos.f64 x)))))
(+.f64 (-.f64 x (*.f64 x (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 x)))) (sqrt.f64 (*.f64 x (cos.f64 x))) (*.f64 x (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) x (*.f64 x (cos.f64 x)))))
(+.f64 (-.f64 x (*.f64 x (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (cos.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 x))) 2) (*.f64 x (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) x (*.f64 x (cos.f64 x)))))
(+.f64 (-.f64 x (*.f64 x (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (cos.f64 x)) x (*.f64 x (cos.f64 x))) (fma.f64 (neg.f64 x) (cos.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 (-.f64 x (*.f64 x (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 x) (cos.f64 x) (*.f64 x (cos.f64 x))) (fma.f64 (neg.f64 x) (cos.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 (-.f64 x (*.f64 x (cos.f64 x))) (+.f64 (fma.f64 (*.f64 (cos.f64 x) (neg.f64 x)) 1 (*.f64 x (cos.f64 x))) (fma.f64 (neg.f64 x) (cos.f64 x) (*.f64 x (cos.f64 x)))))
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(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3)) -1) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x x (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x))))) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x)) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 (neg.f64 x) (*.f64 x (cos.f64 x)))) (*.f64 x (neg.f64 (*.f64 x (neg.f64 x)))))
(pow.f64 (-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x))) 2)
(pow.f64 (/.f64 (cbrt.f64 (-.f64 x (*.f64 x (cos.f64 x)))) x) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) 3) (/.f64 (pow.f64 x -2) x)))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) 3)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x))))
(exp.f64 (log.f64 (-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x))))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/720 (pow.f64 x 5))))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5)))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -1/40320 (pow.f64 x 7) (*.f64 1/720 (pow.f64 x 5)))))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 -1/24 (pow.f64 x 5)))
(fma.f64 1/2 (pow.f64 x 3) (*.f64 -1/24 (pow.f64 x 5)))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/24 (pow.f64 x 5)) (*.f64 1/720 (pow.f64 x 7))))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1/24 (pow.f64 x 5) (*.f64 1/720 (pow.f64 x 7))))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/24 (pow.f64 x 5)) (+.f64 (*.f64 1/720 (pow.f64 x 7)) (*.f64 -1/40320 (pow.f64 x 9)))))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1/24 (pow.f64 x 5) (fma.f64 1/720 (pow.f64 x 7) (*.f64 -1/40320 (pow.f64 x 9)))))
(*.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 x (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) (neg.f64 x) x)
(*.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 x (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) (neg.f64 x) x)
(*.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 x (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) (neg.f64 x) x)
(*.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 x (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) (neg.f64 x) x)
(*.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(*.f64 x (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) (neg.f64 x) x)
(*.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(*.f64 x (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) (neg.f64 x) x)
(*.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(*.f64 x (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) (neg.f64 x) x)
(*.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(*.f64 x (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) (neg.f64 x) x)
x
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) x)
(fma.f64 -1/2 (pow.f64 x 3) x)
(+.f64 (*.f64 1/24 (pow.f64 x 5)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) x))
(fma.f64 1/24 (pow.f64 x 5) (fma.f64 -1/2 (pow.f64 x 3) x))
(+.f64 (*.f64 1/24 (pow.f64 x 5)) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/720 (pow.f64 x 7)) x)))
(fma.f64 1/24 (pow.f64 x 5) (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -1/720 (pow.f64 x 7) x)))
(*.f64 (cos.f64 x) x)
(*.f64 x (cos.f64 x))
(*.f64 (cos.f64 x) x)
(*.f64 x (cos.f64 x))
(*.f64 (cos.f64 x) x)
(*.f64 x (cos.f64 x))
(*.f64 (cos.f64 x) x)
(*.f64 x (cos.f64 x))
(*.f64 (cos.f64 x) x)
(*.f64 x (cos.f64 x))
(*.f64 (cos.f64 x) x)
(*.f64 x (cos.f64 x))
(*.f64 (cos.f64 x) x)
(*.f64 x (cos.f64 x))
(*.f64 (cos.f64 x) x)
(*.f64 x (cos.f64 x))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (*.f64 (pow.f64 x -2) (fma.f64 (neg.f64 (cos.f64 x)) x (*.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (fma.f64 (neg.f64 (cos.f64 x)) x (*.f64 x (cos.f64 x)))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (*.f64 (pow.f64 x -2) (fma.f64 (neg.f64 x) (cos.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (fma.f64 (neg.f64 (cos.f64 x)) x (*.f64 x (cos.f64 x)))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (*.f64 (pow.f64 x -2) (fma.f64 (*.f64 (cos.f64 x) (neg.f64 x)) 1 (*.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (fma.f64 (neg.f64 (cos.f64 x)) x (*.f64 x (cos.f64 x)))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (*.f64 (pow.f64 x -2) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 x)))) (sqrt.f64 (*.f64 x (cos.f64 x))) (*.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 x)))) (sqrt.f64 (*.f64 x (cos.f64 x))) (*.f64 x (cos.f64 x)))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (*.f64 (pow.f64 x -2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (cos.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 x))) 2) (*.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (fma.f64 (neg.f64 (cos.f64 x)) x (*.f64 x (cos.f64 x)))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (*.f64 (fma.f64 (neg.f64 (cos.f64 x)) x (*.f64 x (cos.f64 x))) (pow.f64 x -2)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (fma.f64 (neg.f64 (cos.f64 x)) x (*.f64 x (cos.f64 x)))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (*.f64 (fma.f64 (neg.f64 x) (cos.f64 x) (*.f64 x (cos.f64 x))) (pow.f64 x -2)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (fma.f64 (neg.f64 (cos.f64 x)) x (*.f64 x (cos.f64 x)))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (*.f64 (fma.f64 (*.f64 (cos.f64 x) (neg.f64 x)) 1 (*.f64 x (cos.f64 x))) (pow.f64 x -2)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (fma.f64 (neg.f64 (cos.f64 x)) x (*.f64 x (cos.f64 x)))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 x)))) (sqrt.f64 (*.f64 x (cos.f64 x))) (*.f64 x (cos.f64 x))) (pow.f64 x -2)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (cos.f64 x)))) (sqrt.f64 (*.f64 x (cos.f64 x))) (*.f64 x (cos.f64 x)))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (cos.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 x))) 2) (*.f64 x (cos.f64 x))) (pow.f64 x -2)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (fma.f64 (neg.f64 (cos.f64 x)) x (*.f64 x (cos.f64 x)))))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (/.f64 1 x) (*.f64 1 (neg.f64 (/.f64 (cos.f64 x) x))))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (/.f64 1 x) (*.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (neg.f64 x))))
(fma.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x))
(fma.f64 (pow.f64 x -2) (*.f64 x (neg.f64 (cos.f64 x))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 (pow.f64 x -2) (*.f64 (*.f64 (cos.f64 x) (neg.f64 x)) 1)))
(fma.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x))
(fma.f64 (pow.f64 x -2) (*.f64 x (neg.f64 (cos.f64 x))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 (neg.f64 (/.f64 (cos.f64 x) x)) 1))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (/.f64 1 x) (*.f64 (*.f64 (cos.f64 x) (neg.f64 x)) (pow.f64 x -2)))
(fma.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x))
(fma.f64 (pow.f64 x -2) (*.f64 x (neg.f64 (cos.f64 x))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 (*.f64 (*.f64 (cos.f64 x) (neg.f64 x)) 1) (pow.f64 x -2)))
(fma.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x))
(fma.f64 (pow.f64 x -2) (*.f64 x (neg.f64 (cos.f64 x))) (/.f64 1 x))
(+.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (*.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (neg.f64 x))) (/.f64 1 x))
(fma.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x))
(fma.f64 (pow.f64 x -2) (*.f64 x (neg.f64 (cos.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 (*.f64 (cos.f64 x) (neg.f64 x)) (pow.f64 x -2)) (/.f64 1 x))
(fma.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x))
(fma.f64 (pow.f64 x -2) (*.f64 x (neg.f64 (cos.f64 x))) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (exp.f64 (log1p.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))) 1)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (neg.f64 (/.f64 (cos.f64 x) x))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1) (/.f64 (neg.f64 (cos.f64 x)) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (+.f64 1 (/.f64 (cos.f64 x) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (+.f64 1 (/.f64 (cos.f64 x) x)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1) (/.f64 (neg.f64 (cos.f64 x)) x))
(*.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x -2))
(*.f64 (pow.f64 x -2) (-.f64 x (*.f64 x (cos.f64 x))))
(*.f64 (pow.f64 x -2) (fma.f64 (cos.f64 x) (neg.f64 x) x))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 1 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (/.f64 1 x) (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x))
(*.f64 (/.f64 1 x) (-.f64 1 (/.f64 (*.f64 x (cos.f64 x)) x)))
(/.f64 (-.f64 1 (/.f64 (cos.f64 x) 1)) x)
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (*.f64 x (cos.f64 x)))) x) (/.f64 (sqrt.f64 (-.f64 x (*.f64 x (cos.f64 x)))) x))
(*.f64 (/.f64 1 x) (-.f64 1 (/.f64 (*.f64 x (cos.f64 x)) x)))
(/.f64 (-.f64 1 (/.f64 (cos.f64 x) 1)) x)
(*.f64 (sqrt.f64 (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 (sqrt.f64 (-.f64 x (*.f64 x (cos.f64 x)))) (pow.f64 x -2)))
(*.f64 (pow.f64 x -2) (-.f64 x (*.f64 x (cos.f64 x))))
(*.f64 (pow.f64 x -2) (fma.f64 (cos.f64 x) (neg.f64 x) x))
(*.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) 2))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) 2) (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) 2) (*.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) 1))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 x (*.f64 x (cos.f64 x))) 2)) (*.f64 (cbrt.f64 (-.f64 x (*.f64 x (cos.f64 x)))) (pow.f64 x -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 x (*.f64 x (cos.f64 x))) 2)) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 x (*.f64 x (cos.f64 x))))))
(*.f64 (pow.f64 x -2) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) 2)) (cbrt.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x))))
(*.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (/.f64 1 x))
(*.f64 (/.f64 1 x) (-.f64 1 (/.f64 (*.f64 x (cos.f64 x)) x)))
(/.f64 (-.f64 1 (/.f64 (cos.f64 x) 1)) x)
(*.f64 (pow.f64 x -2) (-.f64 x (*.f64 x (cos.f64 x))))
(*.f64 (pow.f64 x -2) (fma.f64 (cos.f64 x) (neg.f64 x) x))
(*.f64 (+.f64 (neg.f64 x) (*.f64 x (cos.f64 x))) (/.f64 1 (*.f64 x (neg.f64 x))))
(*.f64 (/.f64 1 x) (-.f64 1 (/.f64 (*.f64 x (cos.f64 x)) x)))
(/.f64 (-.f64 1 (/.f64 (cos.f64 x) 1)) x)
(*.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 (sqrt.f64 x) x)) (pow.f64 x -1/2))
(*.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (sqrt.f64 x))) (pow.f64 x -1/2))
(*.f64 (/.f64 (-.f64 1 (/.f64 (cos.f64 x) 1)) (sqrt.f64 x)) (pow.f64 x -1/2))
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(*.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (/.f64 1 (cbrt.f64 x)))
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(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (cos.f64 x) (neg.f64 x)) 3)) (*.f64 (/.f64 (*.f64 x x) (/.f64 1 x)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (cos.f64 x) (neg.f64 x)) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 (cos.f64 x) (neg.f64 x)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (cos.f64 x) (neg.f64 x)) 3)) (*.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) (neg.f64 x)) (-.f64 (*.f64 (cos.f64 x) (neg.f64 x)) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (neg.f64 (cos.f64 x))) 3)) (*.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 x (*.f64 (cos.f64 x) (+.f64 x (*.f64 x (cos.f64 x))))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (cos.f64 x) (neg.f64 x)) 3)) (*.f64 (/.f64 (pow.f64 x 3) 1) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (cos.f64 x) (neg.f64 x)) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 (cos.f64 x) (neg.f64 x)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (cos.f64 x) (neg.f64 x)) 3)) (*.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 (*.f64 (cos.f64 x) (neg.f64 x)) (-.f64 (*.f64 (cos.f64 x) (neg.f64 x)) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (neg.f64 (cos.f64 x))) 3)) (*.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 x (*.f64 (cos.f64 x) (+.f64 x (*.f64 x (cos.f64 x))))))))
(/.f64 (-.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (/.f64 (cos.f64 x) x) 3)) (*.f64 x (+.f64 (+.f64 (pow.f64 x -2) (*.f64 (/.f64 (cos.f64 x) x) (/.f64 (cos.f64 x) x))) (*.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))))
(/.f64 (-.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (/.f64 (cos.f64 x) x) 3)) (*.f64 x (+.f64 (pow.f64 x -2) (+.f64 (*.f64 (/.f64 (cos.f64 x) x) (/.f64 (cos.f64 x) x)) (*.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))))))
(/.f64 (-.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (/.f64 (cos.f64 x) x) 3)) (+.f64 (*.f64 1 (/.f64 (cos.f64 x) x)) (*.f64 x (+.f64 (pow.f64 x -2) (*.f64 (/.f64 (cos.f64 x) x) (/.f64 (cos.f64 x) x))))))
(/.f64 (-.f64 (pow.f64 x 3) (*.f64 (*.f64 x x) (*.f64 x (cos.f64 x)))) (*.f64 x (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 3) (*.f64 (pow.f64 x 3) (cos.f64 x))) (*.f64 x (pow.f64 x 4)))
(/.f64 (*.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) -1) (*.f64 x (neg.f64 x)))
(/.f64 x (*.f64 x (/.f64 (pow.f64 x 3) (-.f64 x (*.f64 x (cos.f64 x))))))
(/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) (pow.f64 x 3))
(/.f64 (*.f64 (+.f64 (neg.f64 x) (*.f64 x (cos.f64 x))) -1) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 x)))
(/.f64 x (*.f64 x (/.f64 (pow.f64 x 3) (-.f64 x (*.f64 x (cos.f64 x))))))
(/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) (pow.f64 x 3))
(/.f64 (*.f64 -1 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x)) (*.f64 x (neg.f64 x)))
(/.f64 x (*.f64 x (/.f64 (pow.f64 x 3) (-.f64 x (*.f64 x (cos.f64 x))))))
(/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) (pow.f64 x 3))
(/.f64 (*.f64 -1 (+.f64 (neg.f64 x) (*.f64 x (cos.f64 x)))) (*.f64 (neg.f64 x) (*.f64 x (neg.f64 x))))
(/.f64 x (*.f64 x (/.f64 (pow.f64 x 3) (-.f64 x (*.f64 x (cos.f64 x))))))
(/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) (pow.f64 x 3))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (cos.f64 x)) 2)) -1) (*.f64 (*.f64 x x) (*.f64 (+.f64 x (*.f64 x (cos.f64 x))) (neg.f64 x))))
(/.f64 1 (/.f64 (*.f64 (pow.f64 x 3) (+.f64 x (*.f64 x (cos.f64 x)))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (cos.f64 x)) 2))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (cos.f64 x)) 2)) (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 4) (cos.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (cos.f64 x)) 3)) -1) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x x (*.f64 (*.f64 x (cos.f64 x)) (+.f64 x (*.f64 x (cos.f64 x))))) (neg.f64 x))))
(/.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (fma.f64 x x (*.f64 x (*.f64 (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 3) (pow.f64 (*.f64 x (cos.f64 x)) 3)) (*.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 x (*.f64 (cos.f64 x) (+.f64 x (*.f64 x (cos.f64 x))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))) (neg.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x)) (*.f64 x (neg.f64 x)))
(/.f64 x (*.f64 x (/.f64 (pow.f64 x 3) (-.f64 x (*.f64 x (cos.f64 x))))))
(/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) (pow.f64 x 3))
(/.f64 (neg.f64 (+.f64 (neg.f64 x) (*.f64 x (cos.f64 x)))) (*.f64 x (neg.f64 (*.f64 x (neg.f64 x)))))
(/.f64 x (*.f64 x (/.f64 (pow.f64 x 3) (-.f64 x (*.f64 x (cos.f64 x))))))
(/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) (pow.f64 x 3))
(pow.f64 (-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x)) 1)
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x))) 2)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))) 2)
(pow.f64 (/.f64 (cbrt.f64 (-.f64 x (*.f64 x (cos.f64 x)))) x) 3)
(/.f64 x (*.f64 x (/.f64 (pow.f64 x 3) (-.f64 x (*.f64 x (cos.f64 x))))))
(/.f64 (fma.f64 (cos.f64 x) (neg.f64 x) x) (pow.f64 x 3))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x)) 3) 1/3)
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x)) 2))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x))) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x))))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x)))))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x)) 3))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) 3) (/.f64 (pow.f64 x -2) x)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (/.f64 (pow.f64 x -2) x)))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (/.f64 (pow.f64 x -2) x)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x))))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(exp.f64 (log.f64 (-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x))))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x))) 1))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x -2) (/.f64 (/.f64 (cos.f64 x) x) x))))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))

eval593.0ms (4.8%)

Compiler

Compiled 35474 to 17826 computations (49.7% saved)

prune581.0ms (4.7%)

Pruning

32 alts after pruning (22 fresh and 10 done)

PrunedKeptTotal
New1681151696
Fresh6713
Picked011
Done3912
Total1690321722
Accurracy
100.0%
Counts
1722 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.3%
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x))
57.4%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
23.4%
(/.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) x)
99.8%
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) (neg.f64 x))
73.1%
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (+.f64 2 (*.f64 -1/6 (*.f64 x x)))) (neg.f64 x))
57.4%
(/.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) (neg.f64 x))
57.3%
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)
56.4%
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
57.3%
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) x)
44.8%
(/.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) x)
76.8%
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
22.9%
(/.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 x (/.f64 -1 x)))
48.9%
(/.f64 x (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 x (cos.f64 x))))) (*.f64 x x)))
56.4%
(/.f64 -1 (/.f64 (/.f64 x (/.f64 1 x)) (+.f64 -1 (cos.f64 x))))
57.1%
(/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
23.4%
(/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (*.f64 (*.f64 1/2 x) x) x)))
23.3%
(/.f64 -1 (*.f64 (/.f64 x (*.f64 (*.f64 1/2 x) x)) (neg.f64 x)))
77.1%
(/.f64 -1 (*.f64 (/.f64 x (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) (neg.f64 x)))
75.7%
(/.f64 -1 (*.f64 (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))) (neg.f64 x)))
73.1%
(/.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) (neg.f64 x)))
57.0%
(/.f64 -1 (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 x (cos.f64 x))))) (neg.f64 x)))
57.1%
(/.f64 -1 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))))
56.3%
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
56.6%
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x)))
44.9%
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
56.7%
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
56.3%
(*.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) (/.f64 1 x))
76.5%
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x))
99.7%
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
29.6%
(*.f64 (+.f64 (/.f64 1 x) (/.f64 -1 x)) (/.f64 1 x))
46.3%
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
46.4%
1/2
Compiler

Compiled 397 to 274 computations (31% saved)

regimes56.0ms (0.5%)

Counts
55 → 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 (*.f64 1/2 x) x) x) x)
(*.f64 (+.f64 (/.f64 1 x) (/.f64 -1 x)) (/.f64 1 x))
(*.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (/.f64 1 x))
(/.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 x (/.f64 -1 x)))
(/.f64 -1 (*.f64 (/.f64 x (*.f64 (*.f64 1/2 x) x)) (neg.f64 x)))
(/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (*.f64 (*.f64 1/2 x) x) x)))
(/.f64 -1 (*.f64 (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))) (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(/.f64 -1 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (/.f64 -1 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 -1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x)))
(/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) x)
(/.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) (neg.f64 x))
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 -1 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 -1 x)))
(/.f64 -1 (/.f64 (/.f64 x (/.f64 1 x)) (+.f64 -1 (cos.f64 x))))
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x))
(*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) (/.f64 1 x))
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) x)
(*.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (+.f64 2 (*.f64 -1/6 (*.f64 x x)))) (neg.f64 x))
(*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x))
(/.f64 -1 (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 x (cos.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 x (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 x (cos.f64 x))))) (*.f64 x x)))
(/.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) (neg.f64 x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x 3))
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) (neg.f64 x))
(/.f64 -1 (*.f64 (/.f64 x (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) (neg.f64 x)))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))
(pow.f64 (*.f64 (/.f64 x (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))) x) -1)
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (+.f64 x (*.f64 x (cos.f64 x)))))
(/.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x x))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)))
(*.f64 (/.f64 (*.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))))
Outputs
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) (neg.f64 x))
Calls

2 calls:

31.0ms
x
11.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 670 to 354 computations (47.2% saved)

regimes38.0ms (0.3%)

Counts
45 → 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 (*.f64 1/2 x) x) x) x)
(*.f64 (+.f64 (/.f64 1 x) (/.f64 -1 x)) (/.f64 1 x))
(*.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (/.f64 1 x))
(/.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 x (/.f64 -1 x)))
(/.f64 -1 (*.f64 (/.f64 x (*.f64 (*.f64 1/2 x) x)) (neg.f64 x)))
(/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (*.f64 (*.f64 1/2 x) x) x)))
(/.f64 -1 (*.f64 (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))) (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(/.f64 -1 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (/.f64 -1 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 -1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x)))
(/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) x)
(/.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) (neg.f64 x))
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 -1 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 -1 x)))
(/.f64 -1 (/.f64 (/.f64 x (/.f64 1 x)) (+.f64 -1 (cos.f64 x))))
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x))
(*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) (/.f64 1 x))
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) x)
(*.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (+.f64 2 (*.f64 -1/6 (*.f64 x x)))) (neg.f64 x))
(*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x))
(/.f64 -1 (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 x (cos.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 x (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 x (cos.f64 x))))) (*.f64 x x)))
(/.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) (neg.f64 x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x 3))
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
Outputs
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
Calls

2 calls:

19.0ms
x
9.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 515 to 280 computations (45.6% saved)

regimes119.0ms (1%)

Counts
42 → 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 (*.f64 1/2 x) x) x) x)
(*.f64 (+.f64 (/.f64 1 x) (/.f64 -1 x)) (/.f64 1 x))
(*.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (/.f64 1 x))
(/.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 x (/.f64 -1 x)))
(/.f64 -1 (*.f64 (/.f64 x (*.f64 (*.f64 1/2 x) x)) (neg.f64 x)))
(/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (*.f64 (*.f64 1/2 x) x) x)))
(/.f64 -1 (*.f64 (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))) (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(/.f64 -1 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (/.f64 -1 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 -1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x)))
(/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) x)
(/.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) (neg.f64 x))
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 -1 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 -1 x)))
(/.f64 -1 (/.f64 (/.f64 x (/.f64 1 x)) (+.f64 -1 (cos.f64 x))))
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x))
(*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) (/.f64 1 x))
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) x)
(*.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (+.f64 2 (*.f64 -1/6 (*.f64 x x)))) (neg.f64 x))
(*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x))
(/.f64 -1 (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 x (cos.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 x (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 x (cos.f64 x))))) (*.f64 x x)))
(/.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) (neg.f64 x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (pow.f64 x 3))
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
Outputs
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
Calls

2 calls:

73.0ms
x
16.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
99.6%3x
99.3%3(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 482 to 264 computations (45.2% saved)

bsearch70.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
0.0006546219565114393
1033.1228393211504
51.0ms
-17362278.621002402
-0.00306207583082966
Results
65.0ms304×body256valid
Compiler

Compiled 374 to 294 computations (21.4% saved)

regimes128.0ms (1%)

Counts
38 → 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 (*.f64 1/2 x) x) x) x)
(*.f64 (+.f64 (/.f64 1 x) (/.f64 -1 x)) (/.f64 1 x))
(*.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (/.f64 1 x))
(/.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 x (/.f64 -1 x)))
(/.f64 -1 (*.f64 (/.f64 x (*.f64 (*.f64 1/2 x) x)) (neg.f64 x)))
(/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (*.f64 (*.f64 1/2 x) x) x)))
(/.f64 -1 (*.f64 (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))) (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(/.f64 -1 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (/.f64 -1 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 -1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x)))
(/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) x)
(/.f64 (/.f64 -1 (/.f64 x (-.f64 1 (cos.f64 x)))) (neg.f64 x))
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 -1 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 -1 x)))
(/.f64 -1 (/.f64 (/.f64 x (/.f64 1 x)) (+.f64 -1 (cos.f64 x))))
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x))
(*.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x)) (/.f64 1 x))
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) x)
(*.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (+.f64 2 (*.f64 -1/6 (*.f64 x x)))) (neg.f64 x))
(*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x))
(/.f64 -1 (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 x (cos.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 x (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 x (cos.f64 x))))) (*.f64 x x)))
(/.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))) (neg.f64 x)))
Outputs
(*.f64 (/.f64 (/.f64 1 x) 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:

65.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
53.0ms
x
Results
AccuracySegmentsBranch
99.6%3x
99.3%3(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 444 to 247 computations (44.4% saved)

bsearch63.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
40.0ms
0.0006546219565114393
1033.1228393211504
22.0ms
-17362278.621002402
-0.00306207583082966
Results
58.0ms304×body256valid
Compiler

Compiled 394 to 295 computations (25.1% saved)

regimes33.0ms (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 (*.f64 1/2 x) x) x) x)
(*.f64 (+.f64 (/.f64 1 x) (/.f64 -1 x)) (/.f64 1 x))
(*.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (/.f64 1 x))
(/.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 x (/.f64 -1 x)))
(/.f64 -1 (*.f64 (/.f64 x (*.f64 (*.f64 1/2 x) x)) (neg.f64 x)))
(/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (*.f64 (*.f64 1/2 x) x) x)))
(/.f64 -1 (*.f64 (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))) (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
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:

20.0ms
x
10.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
99.6%3x
99.2%3(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 143 to 90 computations (37.1% saved)

bsearch42.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
0.0006546219565114393
1033.1228393211504
23.0ms
-17362278.621002402
-0.00306207583082966
Results
37.0ms304×body256valid
Compiler

Compiled 374 to 275 computations (26.5% saved)

regimes51.0ms (0.4%)

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 (*.f64 1/2 x) x) x) x)
(*.f64 (+.f64 (/.f64 1 x) (/.f64 -1 x)) (/.f64 1 x))
(*.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (/.f64 1 x))
(/.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 x (/.f64 -1 x)))
(/.f64 -1 (*.f64 (/.f64 x (*.f64 (*.f64 1/2 x) x)) (neg.f64 x)))
(/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (*.f64 (*.f64 1/2 x) x) x)))
(/.f64 -1 (*.f64 (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))) (neg.f64 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:

40.0ms
x
9.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
99.3%3x
99.2%3(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 115 to 75 computations (34.8% saved)

bsearch69.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
48.0ms
0.0006546219565114393
1033.1228393211504
21.0ms
-17362278.621002402
-0.00306207583082966
Results
65.0ms304×body256valid
Compiler

Compiled 374 to 275 computations (26.5% saved)

regimes11.0ms (0.1%)

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 (*.f64 1/2 x) x) x) x)
(*.f64 (+.f64 (/.f64 1 x) (/.f64 -1 x)) (/.f64 1 x))
(*.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (/.f64 1 x))
(/.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 x (/.f64 -1 x)))
(/.f64 -1 (*.f64 (/.f64 x (*.f64 (*.f64 1/2 x) x)) (neg.f64 x)))
(/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (*.f64 (*.f64 1/2 x) x) x)))
(/.f64 -1 (*.f64 (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))) (neg.f64 x)))
Outputs
(/.f64 -1 (*.f64 (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))) (neg.f64 x)))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
75.7%1x
Compiler

Compiled 98 to 65 computations (33.7% saved)

regimes21.0ms (0.2%)

Counts
9 → 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 (*.f64 1/2 x) x) x) x)
(*.f64 (+.f64 (/.f64 1 x) (/.f64 -1 x)) (/.f64 1 x))
(*.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (/.f64 1 x))
(/.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 x (/.f64 -1 x)))
(/.f64 -1 (*.f64 (/.f64 x (*.f64 (*.f64 1/2 x) x)) (neg.f64 x)))
(/.f64 -1 (/.f64 (neg.f64 x) (/.f64 (*.f64 (*.f64 1/2 x) x) x)))
Outputs
(*.f64 (+.f64 (/.f64 1 x) (/.f64 -1 x)) (/.f64 1 x))
1/2
(*.f64 (+.f64 (/.f64 1 x) (/.f64 -1 x)) (/.f64 1 x))
Calls

1 calls:

18.0ms
x
Results
AccuracySegmentsBranch
72.7%3x
Compiler

Compiled 84 to 55 computations (34.5% saved)

bsearch79.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
28.0ms
3.31830743991134e+76
5.188160883148724e+78
51.0ms
-2.994073023641992e+78
-1.0190805939759405e+73
Results
69.0ms208×body512valid
6.0ms48×body256valid
Compiler

Compiled 269 to 217 computations (19.3% saved)

regimes5.0ms (0%)

Accuracy

Total -15.5b remaining (-45.3%)

Threshold costs -15.50b (-45.3%)

Counts
4 → 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 (*.f64 1/2 x) x) x) x)
Outputs
1/2
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
46.4%1x
Compiler

Compiled 27 to 18 computations (33.3% saved)

simplify24.0ms (0.2%)

Algorithm
egg-herbie
Rules
42×*-commutative
28×+-commutative
20×neg-mul-1
20×neg-sub0
16×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
063463
197463
2113463
3130459
4155459
5166459
6171459
7172459
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) (neg.f64 x))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(if (<=.f64 x -2824657686286775/576460752303423488) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (if (<=.f64 x 1498797955988901/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))
(if (<=.f64 x -2824657686286775/576460752303423488) (*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x))) (if (<=.f64 x 1498797955988901/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -2824657686286775/576460752303423488) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 1498797955988901/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -2824657686286775/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 1498797955988901/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 -1 (*.f64 (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))) (neg.f64 x)))
(if (<=.f64 x -95000000000000002863774732852029335427854121033570389738444746798740535246848) (*.f64 (+.f64 (/.f64 1 x) (/.f64 -1 x)) (/.f64 1 x)) (if (<=.f64 x 130000000000000009331693572985691597674199002984591404980029211519262914510848) 1/2 (*.f64 (+.f64 (/.f64 1 x) (/.f64 -1 x)) (/.f64 1 x))))
1/2
Outputs
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) (neg.f64 x))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(if (<=.f64 x -2824657686286775/576460752303423488) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (if (<=.f64 x 1498797955988901/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))
(if (or (<=.f64 x -2824657686286775/576460752303423488) (not (<=.f64 x 1498797955988901/288230376151711744))) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))))
(if (<=.f64 x -2824657686286775/576460752303423488) (*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x))) (if (<=.f64 x 1498797955988901/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -2824657686286775/576460752303423488) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 x) x)) (if (<=.f64 x 1498797955988901/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -2824657686286775/576460752303423488) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 1498797955988901/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (or (<=.f64 x -2824657686286775/576460752303423488) (not (<=.f64 x 1498797955988901/288230376151711744))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))))
(if (<=.f64 x -2824657686286775/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 1498797955988901/288230376151711744) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(if (or (<=.f64 x -2824657686286775/576460752303423488) (not (<=.f64 x 1498797955988901/288230376151711744))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))))
(/.f64 -1 (*.f64 (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))) (neg.f64 x)))
(/.f64 -1 (*.f64 (neg.f64 x) (+.f64 (*.f64 x 1/6) (*.f64 (/.f64 1 x) 2))))
(/.f64 -1 (*.f64 x (+.f64 (*.f64 x -1/6) (*.f64 -2 (/.f64 1 x)))))
(/.f64 -1 (*.f64 x (+.f64 (*.f64 x -1/6) (*.f64 2 (/.f64 -1 x)))))
(if (<=.f64 x -95000000000000002863774732852029335427854121033570389738444746798740535246848) (*.f64 (+.f64 (/.f64 1 x) (/.f64 -1 x)) (/.f64 1 x)) (if (<=.f64 x 130000000000000009331693572985691597674199002984591404980029211519262914510848) 1/2 (*.f64 (+.f64 (/.f64 1 x) (/.f64 -1 x)) (/.f64 1 x))))
(if (or (<=.f64 x -95000000000000002863774732852029335427854121033570389738444746798740535246848) (not (<=.f64 x 130000000000000009331693572985691597674199002984591404980029211519262914510848))) (*.f64 (/.f64 1 x) (+.f64 (/.f64 1 x) (/.f64 -1 x))) 1/2)
1/2
Compiler

Compiled 173 to 125 computations (27.7% saved)

soundness104.0ms (0.9%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
03215119
18904897
239464843
Stop Event
node limit
Compiler

Compiled 74 to 35 computations (52.7% saved)

end127.0ms (1%)

Compiler

Compiled 165 to 110 computations (33.3% saved)

Profiling

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