Details

Time bar (total: 11.2s)

analyze98.0ms (0.9%)

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

Compiled 10 to 7 computations (30% saved)

sample2.7s (24.1%)

Results
1.3s2056×body2048valid
519.0ms1161×body1024valid
391.0ms3392×body256valid
369.0ms1539×body512valid
68.0ms108×body4096valid
Bogosity

preprocess36.0ms (0.3%)

Algorithm
2×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
1×saturated
1×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)

simplify42.0ms (0.4%)

Algorithm
1×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
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
28.8b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶28.8b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓1.6b
(-.f64 1 (cos.f64 x))
✓14.3b
(/.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))

rewrite104.0ms (0.9%)

Algorithm
1×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
1×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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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) 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simplify88.0ms (0.8%)

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

eval87.0ms (0.8%)

Compiler

Compiled 4007 to 2144 computations (46.5% saved)

prune40.0ms (0.4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New18414198
Fresh000
Picked011
Done000
Total18415199
Error
0.0b
Counts
199 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
27.5b
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
28.4b
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
▶14.7b
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 x x))
▶28.8b
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
✓28.8b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
▶14.6b
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
28.9b
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
27.5b
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))
▶34.9b
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))
▶35.2b
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
27.9b
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
27.4b
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
28.8b
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
28.9b
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
34.2b
1/2
Compiler

Compiled 317 to 232 computations (26.8% saved)

localize43.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(tan.f64 (/.f64 x 2))
✓0.3b
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓14.1b
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
Compiler

Compiled 33 to 18 computations (45.5% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite81.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01165
123965
2332765
Stop Event
1×node limit
Counts
3 → 134
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(tan.f64 (/.f64 x 2))
Outputs
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simplify97.0ms (0.9%)

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

Useful iterations: 1 (0.0ms)

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.4b
(*.f64 -1/24 (*.f64 x x))
Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite69.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

simplify37.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

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

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 1 (-.f64 1 (cos.f64 x)))
✓0.2b
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
1.6b
(-.f64 1 (cos.f64 x))
✓14.3b
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
Compiler

Compiled 38 to 23 computations (39.5% saved)

series2.0ms (0%)

Counts
3 → 28
Calls

9 calls:

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

rewrite84.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

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

simplify129.0ms (1.2%)

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

Useful iterations: 1 (0.0ms)

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

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 x (*.f64 x -1/24))
✓0.3b
(*.f64 x -1/24)
✓16.4b
(fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))
Compiler

Compiled 39 to 28 computations (28.2% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))
0.0ms
x
@inf
(fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))
0.0ms
x
@0
(fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))
0.0ms
x
@-inf
(*.f64 x -1/24)
0.0ms
x
@0
(*.f64 x -1/24)

rewrite79.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1974×add-sqr-sqrt
1942×*-un-lft-identity
1822×add-cube-cbrt
1800×add-cbrt-cube
208×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01147
122847
2252147
Stop Event
1×node limit
Counts
3 → 49
Calls
Call 1
Inputs
(fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))
(*.f64 x -1/24)
(*.f64 x (*.f64 x -1/24))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) 1) (*.f64 x (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2) (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4))) (*.f64 (pow.f64 x 4) 1/576)) (-.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/720 (pow.f64 x 4)) 3) (pow.f64 (*.f64 x (*.f64 x -1/24)) 3)) (+.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x -1/24))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -1/24) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -1/24)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -1/24) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x -1/24) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -1/24) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x -1/24)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -1/24)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -1/24)) 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 x (*.f64 x -1/24))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/24)) 3) 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 x) (*.f64 x -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -1/24)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/24))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/24))))))))

simplify69.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1068×unswap-sqr
830×associate--r+
788×+-commutative
734×distribute-lft-in
706×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01161559
12771515
213861497
362971497
Stop Event
1×node limit
Counts
85 → 61
Calls
Call 1
Inputs
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 1/720 (pow.f64 x 4))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 1/720 (pow.f64 x 4))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4)))
(+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24)))
(+.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) 1) (*.f64 x (*.f64 x -1/24)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) 1)
(*.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 1)
(*.f64 1 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))
(*.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))
(*.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2) (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))
(/.f64 (-.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4))) (*.f64 (pow.f64 x 4) 1/576)) (-.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24))))
(/.f64 (+.f64 (pow.f64 (*.f64 1/720 (pow.f64 x 4)) 3) (pow.f64 (*.f64 x (*.f64 x -1/24)) 3)) (+.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24))))))
(pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 2))
(log.f64 (exp.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))))
(cbrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))
(exp.f64 (log.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/24))) 1)
(pow.f64 (*.f64 x -1/24) 1)
(pow.f64 (sqrt.f64 (*.f64 x -1/24)) 2)
(pow.f64 (cbrt.f64 (*.f64 x -1/24)) 3)
(pow.f64 (pow.f64 (*.f64 x -1/24) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x -1/24) 2))
(log.f64 (pow.f64 (exp.f64 x) -1/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/24))))
(cbrt.f64 (pow.f64 (*.f64 x -1/24) 3))
(expm1.f64 (log1p.f64 (*.f64 x -1/24)))
(exp.f64 (log.f64 (*.f64 x -1/24)))
(exp.f64 (*.f64 (log.f64 (*.f64 x -1/24)) 1))
(log1p.f64 (expm1.f64 (*.f64 x -1/24)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24)))) 1)
(pow.f64 (*.f64 x (*.f64 x -1/24)) 1)
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/24))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/24)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/576))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/24)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/24)))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -1/24)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/24))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/24))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/24))))
Outputs
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))
(*.f64 1/720 (pow.f64 x 4))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))
(*.f64 1/720 (pow.f64 x 4))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 x)
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4)))
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))
(+.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24)))
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))
(+.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) 1) (*.f64 x (*.f64 x -1/24)))
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))) 1)
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))
(*.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 1)
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))
(*.f64 1 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))
(*.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))
(*.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2))
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2) (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4))) (*.f64 (pow.f64 x 4) 1/576)) (-.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24))))
(/.f64 (-.f64 (*.f64 1/518400 (*.f64 (pow.f64 x 4) (pow.f64 x 4))) (*.f64 (pow.f64 x 4) 1/576)) (-.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 x x))))
(/.f64 (fma.f64 1/518400 (pow.f64 x 8) (*.f64 (pow.f64 x 4) -1/576)) (fma.f64 1/720 (pow.f64 x 4) (*.f64 (*.f64 x x) 1/24)))
(/.f64 (pow.f64 x 4) (/.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x 1/24))) (fma.f64 (pow.f64 x 4) 1/518400 -1/576)))
(/.f64 (+.f64 (pow.f64 (*.f64 1/720 (pow.f64 x 4)) 3) (pow.f64 (*.f64 x (*.f64 x -1/24)) 3)) (+.f64 (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24))))))
(/.f64 (+.f64 (*.f64 1/373248000 (pow.f64 (pow.f64 x 4) 3)) (pow.f64 (*.f64 -1/24 (*.f64 x x)) 3)) (+.f64 (*.f64 1/518400 (*.f64 (pow.f64 x 4) (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 1/720 (*.f64 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))))))
(/.f64 (fma.f64 1/373248000 (pow.f64 (pow.f64 x 4) 3) (*.f64 -1/13824 (pow.f64 (*.f64 x x) 3))) (fma.f64 1/518400 (pow.f64 x 8) (fma.f64 (pow.f64 x 4) 1/576 (*.f64 (*.f64 -1/24 (*.f64 x x)) (*.f64 (pow.f64 x 4) -1/720)))))
(/.f64 (fma.f64 1/373248000 (pow.f64 (*.f64 x x) 6) (*.f64 -1/13824 (pow.f64 x 6))) (fma.f64 (pow.f64 x 4) 1/576 (fma.f64 1/720 (*.f64 (pow.f64 x 6) 1/24) (*.f64 1/518400 (pow.f64 x 8)))))
(pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 1)
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))
(pow.f64 (sqrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 2)
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))
(pow.f64 (cbrt.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 3)
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))
(pow.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 3) 1/3)
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))
(sqrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 2))
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))
(log.f64 (exp.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))))
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))
(cbrt.f64 (pow.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))) 3))
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))
(expm1.f64 (log1p.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))
(exp.f64 (log.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))) 1))
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))
(log1p.f64 (expm1.f64 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))))
(fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/24))) 1)
(*.f64 -1/24 x)
(pow.f64 (*.f64 x -1/24) 1)
(*.f64 -1/24 x)
(pow.f64 (sqrt.f64 (*.f64 x -1/24)) 2)
(*.f64 -1/24 x)
(pow.f64 (cbrt.f64 (*.f64 x -1/24)) 3)
(*.f64 -1/24 x)
(pow.f64 (pow.f64 (*.f64 x -1/24) 3) 1/3)
(*.f64 -1/24 x)
(sqrt.f64 (pow.f64 (*.f64 x -1/24) 2))
(*.f64 -1/24 x)
(log.f64 (pow.f64 (exp.f64 x) -1/24))
(*.f64 -1/24 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/24))))
(*.f64 -1/24 x)
(cbrt.f64 (pow.f64 (*.f64 x -1/24) 3))
(*.f64 -1/24 x)
(expm1.f64 (log1p.f64 (*.f64 x -1/24)))
(*.f64 -1/24 x)
(exp.f64 (log.f64 (*.f64 x -1/24)))
(*.f64 -1/24 x)
(exp.f64 (*.f64 (log.f64 (*.f64 x -1/24)) 1))
(*.f64 -1/24 x)
(log1p.f64 (expm1.f64 (*.f64 x -1/24)))
(*.f64 -1/24 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24)))) 1)
(*.f64 -1/24 (*.f64 x x))
(pow.f64 (*.f64 x (*.f64 x -1/24)) 1)
(*.f64 -1/24 (*.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)
(*.f64 -1/24 (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/24))) 3)
(*.f64 -1/24 (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/24)) 3) 1/3)
(*.f64 -1/24 (*.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/576))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/24)))
(*.f64 -1/24 (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/24)))))
(*.f64 -1/24 (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -1/24)) 3))
(*.f64 -1/24 (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24))))
(*.f64 -1/24 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/24))))
(*.f64 -1/24 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/24))) 1))
(*.f64 -1/24 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/24))))
(*.f64 -1/24 (*.f64 x x))

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
✓0.3b
(*.f64 (sin.f64 x) (sin.f64 x))
✓0.5b
(+.f64 1 (cos.f64 x))
✓14.1b
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 x x))
Compiler

Compiled 43 to 15 computations (65.1% saved)

series4.0ms (0%)

Counts
4 → 44
Calls

12 calls:

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

rewrite114.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1638×associate-/l/
1624×associate-/r/
848×distribute-lft-in
280×add-sqr-sqrt
272×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01288
126656
2410656
Stop Event
1×node limit
Counts
4 → 287
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 x x))
(+.f64 1 (cos.f64 x))
(*.f64 (sin.f64 x) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (*.f64 x (+.f64 x (*.f64 x (cos.f64 x))))) (/.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (*.f64 x (+.f64 x (*.f64 x (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 x -2)))))) (#(struct:change #<rule 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(2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (cos.f64 x)) (/.f64 1 (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (-.f64 2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 1 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))))))

simplify197.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
1788×associate-/l*
1436×associate-/r*
964×*-commutative
822×associate-*l/
766×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
071310927
1221010369
Stop Event
1×node limit
Counts
331 → 438
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2)))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) 1)
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 -1 (cos.f64 x))))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)
(-.f64 (/.f64 1/2 (*.f64 x (+.f64 x (*.f64 x (cos.f64 x))))) (/.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (*.f64 x (+.f64 x (*.f64 x (cos.f64 x))))))
(*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 x -2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (*.f64 x (+.f64 x (*.f64 x (cos.f64 x))))))
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 1 (neg.f64 (*.f64 x x))))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (*.f64 x (+.f64 x (*.f64 x (cos.f64 x))))) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 1 (neg.f64 (*.f64 x x))) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 x x)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) x) (/.f64 -1 (*.f64 x (-.f64 -1 (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (pow.f64 x 4))) (/.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (+.f64 x (*.f64 x (cos.f64 x))))) (sin.f64 x))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 x (+.f64 x (*.f64 x (cos.f64 x))))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 x -2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 x -2) 1) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (pow.f64 x -2) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 x -2) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
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(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 2)))
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 1 (*.f64 -1 (cos.f64 x)))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))
(+.f64 1 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x))))
(+.f64 1 (*.f64 1 (neg.f64 (cos.f64 x))))
(+.f64 1 (*.f64 1 (*.f64 -1 (cos.f64 x))))
(+.f64 1 (*.f64 1 (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))))
(+.f64 1 (*.f64 1 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))))
(+.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x))))
(+.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (neg.f64 (pow.f64 (cos.f64 x) 2))))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(+.f64 (*.f64 -1 (cos.f64 x)) 1)
(+.f64 (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))) 1)
(+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x))) 1)
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)
(+.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) 1/2) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (*.f64 -1/2 (cos.f64 (+.f64 x x)))))
(+.f64 (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) 1/2) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (neg.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))))))
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (neg.f64 (cos.f64 x))))
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 -1 (cos.f64 x))))
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))))
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))))
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) 1))
(-.f64 1 (cos.f64 x))
(-.f64 (exp.f64 (log.f64 (-.f64 2 (cos.f64 x)))) 1)
(-.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(*.f64 (sin.f64 x) (/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (-.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (sin.f64 x))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (sin.f64 x))
(*.f64 (/.f64 1 (-.f64 -1 (cos.f64 x))) (neg.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) 1) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (sin.f64 x) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 x))) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (pow.f64 (cos.f64 x) 2) 1)) (-.f64 (cos.f64 x) 1))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (+.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (pow.f64 (sin.f64 x) 2))) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sin.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (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)
(pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1)
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 -1 (cos.f64 x))))
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)))
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x))))
(exp.f64 (log.f64 (-.f64 1 (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 1 (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2)))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/2 (*.f64 x x)))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/24)))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 2 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -1/720))))
(+.f64 (cos.f64 x) 1)
(+.f64 1 (cos.f64 x))
(+.f64 (cos.f64 x) 1)
(+.f64 1 (cos.f64 x))
(+.f64 (cos.f64 x) 1)
(+.f64 1 (cos.f64 x))
(+.f64 (cos.f64 x) 1)
(+.f64 1 (cos.f64 x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 -1/3 (pow.f64 x 4) (*.f64 x x))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 -1/315 (pow.f64 x 8) (fma.f64 2/45 (pow.f64 x 6) (*.f64 x x))))
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(pow.f64 (sin.f64 x) 2)
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 -1 (cos.f64 x))))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))))))
(*.f64 (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) 1) (pow.f64 x -2))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (cbrt.f64 (cos.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))))
(*.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) 1) (pow.f64 x -2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(-.f64 (/.f64 1/2 (*.f64 x (+.f64 x (*.f64 x (cos.f64 x))))) (/.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (*.f64 x (+.f64 x (*.f64 x (cos.f64 x))))))
(-.f64 (/.f64 1/2 (*.f64 x (+.f64 x (*.f64 x (cos.f64 x))))) (*.f64 (/.f64 1/2 x) (/.f64 (cos.f64 (+.f64 x x)) (+.f64 x (*.f64 x (cos.f64 x))))))
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(*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 x -2)))
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(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 -1 (cos.f64 x))))
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(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) 1)
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) 1)
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
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(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
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(-.f64 (exp.f64 (log.f64 (-.f64 2 (cos.f64 x)))) 1)
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(-.f64 (/.f64 1/2 (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (+.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (+.f64 1 (cos.f64 x)))))
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(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 1 (-.f64 1 (cos.f64 x)))
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(*.f64 (-.f64 1 (cos.f64 x)) 1)
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(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
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(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x)))
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(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
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(*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))))
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(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 1 (-.f64 -1 (cos.f64 x))) (neg.f64 (pow.f64 (sin.f64 x) 2)))
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(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) 1) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x))))
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(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (sqrt.f64 (+.f64 1 (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 4))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (sin.f64 x) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 x))) (neg.f64 (sin.f64 x)))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (-.f64 -1 (cos.f64 x))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (tan.f64 (/.f64 x 2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (sin.f64 x)))
(*.f64 (cbrt.f64 (sin.f64 x)) (*.f64 (tan.f64 (/.f64 x 2)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))) (+.f64 -1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (pow.f64 (cos.f64 x) 2) 1)) (-.f64 (cos.f64 x) 1))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (cos.f64 x) 2) -1)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 -1 (pow.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 4)))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (tan.f64 (/.f64 x 2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (cbrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (sin.f64 x))) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (sin.f64 x))) (/.f64 1 (tan.f64 (/.f64 x 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (+.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 4)) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (pow.f64 (sin.f64 x) 2))) (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sin.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (sqrt.f64 (+.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (+.f64 1 (cos.f64 x))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 x))) (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
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(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 1 (cos.f64 x)))))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(-.f64 1 (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(-.f64 1 (cos.f64 x))
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(-.f64 1 (cos.f64 x))
(pow.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) -1)
(-.f64 1 (cos.f64 x))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 -1 (cos.f64 x))))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (-.f64 -1 (cos.f64 x))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 -1 (cos.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(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))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)))
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(exp.f64 (log.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (-.f64 1 (cos.f64 x))) 1))
(-.f64 1 (cos.f64 x))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))

eval432.0ms (3.9%)

Compiler

Compiled 23167 to 13362 computations (42.3% saved)

prune233.0ms (2.1%)

Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New112991138
Fresh459
Picked101
Done145
Total1135181153
Error
0b
Counts
1153 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
▶28.8b
(pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) -1)
27.5b
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
48.9b
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
✓28.8b
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
27.2b
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
✓28.8b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
✓14.6b
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
28.4b
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
▶35.2b
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1))
▶34.9b
(+.f64 1/2 (+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4))))
✓35.2b
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
27.9b
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
27.4b
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
▶0.1b
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
14.7b
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2)))
28.8b
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
▶27.4b
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x)))
34.2b
1/2
Compiler

Compiled 344 to 246 computations (28.5% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 33 to 18 computations (45.5% saved)

series3.0ms (0%)

Counts
4 → 40
Calls

12 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
@0
(/.f64 (sin.f64 x) x)
0.0ms
x
@0
(/.f64 (tan.f64 (*.f64 x 1/2)) x)

rewrite102.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01172
123572
2315772
Stop Event
1×node limit
Counts
4 → 318
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 x 1/2)) x)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(tan.f64 (*.f64 x 1/2))
Outputs
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simplify421.0ms (3.8%)

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

Useful iterations: 1 (0.0ms)

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.4b
(*.f64 -1/24 (*.f64 x x))
✓1.2b
(-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)
Compiler

Compiled 40 to 25 computations (37.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite80.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1858×add-sqr-sqrt
1830×*-un-lft-identity
1726×add-cube-cbrt
1716×add-cbrt-cube
190×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0925
119813
2263813
Stop Event
1×node limit
Counts
1 → 48
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 -1/24 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 -1/24 (*.f64 x x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/24 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/24 (*.f64 x x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/24 (*.f64 x x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 -1/24 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/24 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/24 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 -1/24 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) -1/24)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/24 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 -1/24)) (*.f64 x (sqrt.f64 -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (*.f64 -1/24 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/24 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/24 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -1/24 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -1/24 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -1/24 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 -1/24 (*.f64 x x)) 2) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1) (-.f64 (fma.f64 -1/24 (*.f64 x x) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (-.f64 1 (*.f64 (fma.f64 -1/24 (*.f64 x x) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 -1/24 (*.f64 x x) -1) (fma.f64 -1/24 (*.f64 x x) -1))) (-.f64 1 (fma.f64 -1/24 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 -1/24 (*.f64 x x) -1) (fma.f64 -1/24 (*.f64 x x) -1)) (fma.f64 -1/24 (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2))))))) (#(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 fma.f64 1 (fma.f64 -1/24 (*.f64 x x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1)) -1)))))

simplify67.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1324×associate-/l*
948×associate-/r*
896×associate-+r-
882×associate-*r*
874×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01241656
13001550
29311538
339891538
Stop Event
1×node limit
Counts
60 → 67
Calls
Call 1
Inputs
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 1 (fma.f64 -1/24 (*.f64 x x) -1))
(+.f64 1 (*.f64 (fma.f64 -1/24 (*.f64 x x) -1) 1))
(+.f64 (*.f64 -1/24 (*.f64 x x)) 0)
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1) -1)
(+.f64 (fma.f64 -1/24 (*.f64 x x) -1) 1)
(+.f64 -1 (fma.f64 -1/24 (*.f64 x x) 1))
(*.f64 1 (*.f64 -1/24 (*.f64 x x)))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 (*.f64 x x) -1/24)
(*.f64 (*.f64 -1/24 (*.f64 x x)) 1)
(*.f64 (*.f64 x (sqrt.f64 -1/24)) (*.f64 x (sqrt.f64 -1/24)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) -1/24))
(*.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (*.f64 -1/24 (*.f64 x x))))
(*.f64 (*.f64 -1/24 x) x)
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)))
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2))))
(*.f64 (*.f64 -1/24 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))
(*.f64 (*.f64 (*.f64 -1/24 x) 1) x)
(*.f64 (*.f64 (*.f64 -1/24 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 -1/24 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(*.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) 1))
(/.f64 1 (/.f64 (+.f64 (*.f64 -1/24 (*.f64 x x)) 2) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1) (-.f64 (fma.f64 -1/24 (*.f64 x x) 1) -1))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (-.f64 1 (*.f64 (fma.f64 -1/24 (*.f64 x x) 1) -1))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 -1/24 (*.f64 x x) -1) (fma.f64 -1/24 (*.f64 x x) -1))) (-.f64 1 (fma.f64 -1/24 (*.f64 x x) -1)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 -1/24 (*.f64 x x) -1) (fma.f64 -1/24 (*.f64 x x) -1)) (fma.f64 -1/24 (*.f64 x x) -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2))))
(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))))
(fma.f64 1 (fma.f64 -1/24 (*.f64 x x) 1) -1)
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1)) -1)
Outputs
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(+.f64 1 (fma.f64 -1/24 (*.f64 x x) -1))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(+.f64 1 (*.f64 (fma.f64 -1/24 (*.f64 x x) -1) 1))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(+.f64 (*.f64 -1/24 (*.f64 x x)) 0)
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1) -1)
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(+.f64 (fma.f64 -1/24 (*.f64 x x) -1) 1)
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(+.f64 -1 (fma.f64 -1/24 (*.f64 x x) 1))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 1 (*.f64 -1/24 (*.f64 x x)))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 -1/24 (*.f64 x x))
(*.f64 (*.f64 x x) -1/24)
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 (*.f64 -1/24 (*.f64 x x)) 1)
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 (*.f64 x (sqrt.f64 -1/24)) (*.f64 x (sqrt.f64 -1/24)))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) -1/24))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 -1/24 (cbrt.f64 (*.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 -1/24 (cbrt.f64 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 -1/24 x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (*.f64 -1/24 (*.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 -1/24 x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)))
(*.f64 (*.f64 -1/24 x) x)
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2)) (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2)) (fma.f64 -1/24 (*.f64 x x) 2))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2)) (fma.f64 x (*.f64 -1/24 x) 2))
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (fma.f64 -1/24 (*.f64 x x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (fma.f64 -1/24 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 3)) (+.f64 2 (fma.f64 -1/24 (*.f64 x x) (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2))))
(*.f64 (*.f64 -1/24 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 -1/24 (cbrt.f64 (*.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 -1/24 (cbrt.f64 (pow.f64 x 4))))
(*.f64 (*.f64 (*.f64 -1/24 x) 1) x)
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 (*.f64 (*.f64 -1/24 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(*.f64 (*.f64 (*.f64 -1/24 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(*.f64 (*.f64 -1/24 x) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(*.f64 -1/24 (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x (cbrt.f64 x))))
(*.f64 -1/24 (*.f64 x (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))))
(*.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) 1))
(*.f64 (+.f64 1 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24)))) (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) -1))
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) -1)
(/.f64 1 (/.f64 (+.f64 (*.f64 -1/24 (*.f64 x x)) 2) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2)) (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2)) (fma.f64 -1/24 (*.f64 x x) 2))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2)) (fma.f64 x (*.f64 -1/24 x) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (fma.f64 -1/24 (*.f64 x x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (fma.f64 -1/24 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 3)) (+.f64 2 (fma.f64 -1/24 (*.f64 x x) (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2)) (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2)) (fma.f64 -1/24 (*.f64 x x) 2))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2)) (fma.f64 x (*.f64 -1/24 x) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1) (-.f64 (fma.f64 -1/24 (*.f64 x x) 1) -1))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2)) (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2)) (fma.f64 -1/24 (*.f64 x x) 2))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2)) (fma.f64 x (*.f64 -1/24 x) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (fma.f64 -1/24 (*.f64 x x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (fma.f64 -1/24 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 3)) (+.f64 2 (fma.f64 -1/24 (*.f64 x x) (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (-.f64 1 (*.f64 (fma.f64 -1/24 (*.f64 x x) 1) -1))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (fma.f64 -1/24 (*.f64 x x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (fma.f64 -1/24 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 3)) (+.f64 2 (fma.f64 -1/24 (*.f64 x x) (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 -1/24 (*.f64 x x) -1) (fma.f64 -1/24 (*.f64 x x) -1))) (-.f64 1 (fma.f64 -1/24 (*.f64 x x) -1)))
(/.f64 (fma.f64 (fma.f64 x (*.f64 -1/24 x) -1) (fma.f64 x (*.f64 x 1/24) 1) 1) (+.f64 (*.f64 x (*.f64 x 1/24)) 2))
(/.f64 (fma.f64 (fma.f64 x (*.f64 -1/24 x) -1) (fma.f64 x (*.f64 x 1/24) 1) 1) (+.f64 2 (*.f64 x (*.f64 x 1/24))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 -1/24 (*.f64 x x) -1) (fma.f64 -1/24 (*.f64 x x) -1)) (fma.f64 -1/24 (*.f64 x x) -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) -1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/24 (*.f64 x x) -1) (-.f64 (fma.f64 -1/24 (*.f64 x x) -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) -1) 3)) (fma.f64 (fma.f64 x (*.f64 -1/24 x) -1) (+.f64 (*.f64 x (*.f64 -1/24 x)) -2) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 -1/24 (*.f64 x x)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2)) (/.f64 1 (fma.f64 -1/24 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2)) (fma.f64 -1/24 (*.f64 x x) 2))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2)) (fma.f64 x (*.f64 -1/24 x) 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (+.f64 (*.f64 -1/24 (*.f64 x x)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (fma.f64 -1/24 (*.f64 x x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) 1) 2) (fma.f64 -1/24 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 3)) (+.f64 2 (fma.f64 -1/24 (*.f64 x x) (pow.f64 (fma.f64 x (*.f64 -1/24 x) 1) 2))))
(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))
(fma.f64 1 (fma.f64 -1/24 (*.f64 x x) 1) -1)
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) -1)
(*.f64 (+.f64 1 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24)))) (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/24))) -1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 -1/24 (*.f64 x x) 1)) -1)
(*.f64 -1/24 (*.f64 x x))
(*.f64 x (*.f64 -1/24 x))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 36 to 18 computations (50% saved)

series28.0ms (0.2%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
26.0ms
x
@-inf
(/.f64 (-.f64 1 (cos.f64 x)) x)
0.0ms
x
@-inf
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x))
0.0ms
x
@inf
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x))
0.0ms
x
@inf
(/.f64 (-.f64 1 (cos.f64 x)) x)
0.0ms
x
@0
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x))

rewrite82.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
990×associate-/r/
986×*-commutative
836×associate-/l/
600×swap-sqr
430×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01044
121740
2327540
Stop Event
1×node limit
Counts
2 → 212
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x))
Outputs
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simplify110.0ms (1%)

Algorithm
1×egg-herbie
Rules
724×associate-/l*
720×associate-*l*
712×associate-+r+
680×associate-*r*
652×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04447232
113846392
261466372
Stop Event
1×node limit
Counts
228 → 291
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 (*.f64 1/24 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (*.f64 1/24 (pow.f64 x 2))) 1/2)
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/40320 (pow.f64 x 6)))) 1/2)
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(+.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) x))
(+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))
(+.f64 (/.f64 (cos.f64 x) x) (/.f64 1 x))
(+.f64 (-.f64 0 (/.f64 1 x)) (/.f64 (cos.f64 x) x))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))) 1)
(+.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 (/.f64 1 x) -1) (*.f64 (/.f64 (cos.f64 x) x) -1))
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) 1)
(-.f64 (-.f64 0 (/.f64 1 x)) (/.f64 (cos.f64 x) x))
(*.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 1)
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) -1)
(*.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) 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))) (/.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (neg.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) (neg.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (neg.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))))
(*.f64 (+.f64 1 (cos.f64 x)) (/.f64 1 x))
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) x))
(*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 x) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 x) (+.f64 (cos.f64 x) -1))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 x))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2)) (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2)) (neg.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (neg.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (neg.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x)) (neg.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 (*.f64 x x) 0)) x)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0))
(*.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 -1 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 (*.f64 x x) 0)) x)
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (+.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0))
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 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 x)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) 3))) (+.f64 1 (*.f64 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (-.f64 (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) 1))))
(*.f64 (neg.f64 (/.f64 1 (sqrt.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))
(*.f64 (neg.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))) (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2))) (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(pow.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 3) 1/3)
(pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(+.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))) 1)
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(*.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 x) (/.f64 1 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (*.f64 (/.f64 1 x) (/.f64 1 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (/.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) 1)
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) -1)
(*.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (*.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (/.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) x))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (/.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (neg.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x) (neg.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (/.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (/.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) 2))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) 2) (neg.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))))
(*.f64 -1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))
(*.f64 (+.f64 (cos.f64 x) -1) (*.f64 (/.f64 1 x) (/.f64 1 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (*.f64 x x)))
(*.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (/.f64 1 x)) (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (/.f64 1 x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (sqrt.f64 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)) (sqrt.f64 x)) (/.f64 1 (*.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (neg.f64 (/.f64 1 (*.f64 x (sqrt.f64 x)))))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sqrt.f64 x)) (/.f64 1 (*.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (/.f64 1 x)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) (/.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2)) (*.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (/.f64 1 x)))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (cos.f64 x) -1))
(*.f64 (/.f64 1 (*.f64 x x)) (/.f64 (-.f64 1 (cos.f64 x)) -1))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (neg.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)))
(*.f64 (/.f64 1 (*.f64 x (sqrt.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (/.f64 (/.f64 1 x) (cbrt.f64 x))))
(*.f64 (/.f64 (/.f64 1 x) (cbrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) -1) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) -1) (neg.f64 (/.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (cbrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) x) (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) 1) (neg.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) (sqrt.f64 x)) (neg.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (sqrt.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) -1) (/.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) -1) (neg.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) x)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) 1))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) -1))
(*.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (sqrt.f64 x)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2))) (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (+.f64 (*.f64 x x) 0)) x)
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (+.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) x) (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) 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 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(*.f64 (/.f64 -1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2))) (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(*.f64 (/.f64 (/.f64 1 x) 1) (/.f64 (+.f64 (cos.f64 x) -1) 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) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (neg.f64 (/.f64 1 (sqrt.f64 x))) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (sqrt.f64 x)))
(*.f64 (neg.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x)) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) 2))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (cbrt.f64 x)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) 1)) (/.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) x))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (sqrt.f64 x)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) -1)) (/.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) x))
(pow.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) 1)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) 3) 1/3)
(pow.f64 (/.f64 x (/.f64 (+.f64 (cos.f64 x) -1) x)) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)))
(exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) 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))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/720 (pow.f64 x 5) (*.f64 1/2 x)))
(+.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)))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 1/720 (pow.f64 x 5) (*.f64 -1/40320 (pow.f64 x 7)))))
-1/2
(-.f64 (*.f64 1/24 (pow.f64 x 2)) 1/2)
(fma.f64 1/24 (*.f64 x x) -1/2)
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (*.f64 1/24 (pow.f64 x 2))) 1/2)
(+.f64 (*.f64 -1/720 (pow.f64 x 4)) (fma.f64 1/24 (*.f64 x x) -1/2))
(fma.f64 -1/720 (pow.f64 x 4) (fma.f64 1/24 (*.f64 x x) -1/2))
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/40320 (pow.f64 x 6)))) 1/2)
(+.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 1/24 (*.f64 x x) (*.f64 1/40320 (pow.f64 x 6)))) -1/2)
(fma.f64 -1/720 (pow.f64 x 4) (+.f64 (*.f64 1/40320 (pow.f64 x 6)) (fma.f64 1/24 (*.f64 x x) -1/2)))
(+.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 1/24 (*.f64 x x) -1/2)) (*.f64 1/40320 (pow.f64 x 6)))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(+.f64 0 (/.f64 (+.f64 (cos.f64 x) -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 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (/.f64 (cos.f64 x) x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))
(/.f64 (+.f64 1 (cos.f64 x)) x)
(+.f64 (-.f64 0 (/.f64 1 x)) (/.f64 (cos.f64 x) x))
(/.f64 (+.f64 -1 (cos.f64 x)) x)
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))) 1)
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (/.f64 1 x))
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(+.f64 (*.f64 (/.f64 1 x) -1) (*.f64 (/.f64 (cos.f64 x) x) -1))
(+.f64 (/.f64 -1 x) (*.f64 -1 (/.f64 (cos.f64 x) x)))
(neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) x))
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) x))
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) 1)
(/.f64 (+.f64 -1 (cos.f64 x)) x)
(-.f64 (-.f64 0 (/.f64 1 x)) (/.f64 (cos.f64 x) x))
(+.f64 (/.f64 -1 x) (*.f64 -1 (/.f64 (cos.f64 x) x)))
(neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) x))
(*.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) x))
(/.f64 (+.f64 -1 (cos.f64 x)) x)
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 1)
(/.f64 (+.f64 -1 (cos.f64 x)) x)
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) -1)
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(/.f64 (+.f64 -1 (cos.f64 x)) x)
(*.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))))
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))))
(/.f64 (+.f64 -1 (cos.f64 x)) x)
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1))
(*.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))) (/.f64 1 x)))
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (neg.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))))
(/.f64 (+.f64 -1 (cos.f64 x)) x)
(*.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2))
(/.f64 (+.f64 -1 (cos.f64 x)) x)
(*.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2)))
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(/.f64 (-.f64 1 (cos.f64 x)) x)
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(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 (/.f64 1 x) (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) x)
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) x) (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) x))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) 1) (neg.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) (sqrt.f64 x)) (neg.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (sqrt.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) 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 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) 2)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) -1) (/.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) -1) (neg.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) x)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) 1))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (sqrt.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 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)) (/.f64 (/.f64 1 x) (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) x)
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2))) (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (+.f64 (*.f64 x x) 0)) x)
(*.f64 x (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 3)))
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (+.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0))
(*.f64 (*.f64 x x) (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (pow.f64 x 3)))
(*.f64 x (*.f64 x (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 4))))
(*.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 (cos.f64 x) -1) x)) 2) x) (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 -1 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x))) (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 -1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2))) (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) 1) (/.f64 (+.f64 (cos.f64 x) -1) x))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.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 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 x (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 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 (neg.f64 (/.f64 1 (sqrt.f64 x))) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (sqrt.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(*.f64 (neg.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)) (/.f64 (/.f64 1 x) (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) x)
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x)) (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x))
(neg.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) x) 2))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (cbrt.f64 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 x (cbrt.f64 x)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) 1)) (/.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (sqrt.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))) (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x)) 2)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) 2) -1)) (/.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) x))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) 1)
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) x) 2)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) x) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)) 3)
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) 3) 1/3)
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (/.f64 x (/.f64 (+.f64 (cos.f64 x) -1) x)) -1)
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.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 (+.f64 (cos.f64 x) -1) x) x) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) 2))
(fabs.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)))
(neg.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 (+.f64 (cos.f64 x) -1) x) x))))
(neg.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 (+.f64 (cos.f64 x) -1) x) x) 3))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 3) (pow.f64 x 3)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)))
(neg.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 (+.f64 (cos.f64 x) -1) x) x)))
(neg.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 (+.f64 (cos.f64 x) -1) x) x)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 1/720 (pow.f64 x 4))
0.1b
(*.f64 x (*.f64 x -1/24))
0.3b
(*.f64 x -1/24)
✓16.3b
(+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4)))
Compiler

Compiled 46 to 34 computations (26.1% saved)

series1.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4)))
0.0ms
x
@inf
(*.f64 1/720 (pow.f64 x 4))
0.0ms
x
@0
(*.f64 1/720 (pow.f64 x 4))
0.0ms
x
@0
(+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4)))
0.0ms
x
@-inf
(+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4)))

rewrite85.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1008×*-commutative
794×unswap-sqr
632×swap-sqr
434×distribute-lft-in
428×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01140
124140
2294540
Stop Event
1×node limit
Counts
2 → 101
Calls
Call 1
Inputs
(+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 1/720 (pow.f64 x 4))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/720 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/720) (*.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/720 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 8) 1/518400))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) 1/720))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/720 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/720 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/720 (pow.f64 x 4))))))))

simplify120.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1448×associate-/r*
1252×associate-*r/
1030×associate-*l/
462×associate-*r*
436×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02967381
18126965
235236949
Stop Event
1×node limit
Counts
113 → 179
Calls
Call 1
Inputs
(*.f64 -1/24 (pow.f64 x 2))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 1/720 (pow.f64 x 4))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 1/720 (pow.f64 x 4))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24)))) (-.f64 1 (*.f64 1/720 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 4)))) (-.f64 1 (*.f64 x (*.f64 x -1/24))))
(-.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)) 1/576)) (/.f64 (pow.f64 x 8) (/.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)) 1/518400)))
(-.f64 (+.f64 (*.f64 x (*.f64 x -1/24)) (exp.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 4))))) 1)
(-.f64 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24))))) 1)
(*.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))) 1)
(*.f64 1 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))))
(*.f64 (*.f64 x x) (+.f64 -1/24 (*.f64 1/720 (*.f64 x x))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))
(*.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400)) (/.f64 1 (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720))))))
(*.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720))) (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400)))
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720))))) (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000)))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400)) (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400))) (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400)) (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 -1/373248000 (pow.f64 (pow.f64 x 4) 3)))) (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (*.f64 1/720 (pow.f64 x 4)) (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000)) (-.f64 (*.f64 (pow.f64 x 8) 1/331776) (pow.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 (pow.f64 x 4) -1/720))) 2))) (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400)) (*.f64 x (*.f64 (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000)) (+.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/576) 3) (pow.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 (pow.f64 x 4) -1/720))) 3))) (+.f64 (*.f64 (pow.f64 x 8) 1/331776) (*.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 (pow.f64 x 4) -1/720))) (-.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 (pow.f64 x 4) -1/720))) (*.f64 (pow.f64 x 4) 1/576)))))
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(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (*.f64 x (*.f64 x -1/24))) (*.f64 1/720 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/518400)) (cbrt.f64 (*.f64 1/720 (pow.f64 x 4))) (*.f64 x (*.f64 x -1/24)))
(fma.f64 (*.f64 x x) -1/24 (*.f64 1/720 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 1/720 (pow.f64 x 4)) 1)
(pow.f64 (*.f64 (sqrt.f64 1/720) (*.f64 x x)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/720 (pow.f64 x 4))) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/518400))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) 1/720))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/720 (pow.f64 x 4)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000))
(expm1.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 1/720 (pow.f64 x 4))))
(log1p.f64 (expm1.f64 (*.f64 1/720 (pow.f64 x 4))))
Outputs
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (*.f64 x x))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(*.f64 1/720 (pow.f64 x 4))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(*.f64 1/720 (pow.f64 x 4))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4)))
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24)))) (-.f64 1 (*.f64 1/720 (pow.f64 x 4))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x)))) 1) (*.f64 1/720 (pow.f64 x 4)))
(fma.f64 1/720 (pow.f64 x 4) (expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))))) 1)
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 4)))) (-.f64 1 (*.f64 x (*.f64 x -1/24))))
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(-.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)) 1/576)) (/.f64 (pow.f64 x 8) (/.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)) 1/518400)))
(-.f64 (*.f64 (/.f64 (pow.f64 x 4) (fma.f64 x (*.f64 -1/24 x) (*.f64 (pow.f64 x 4) -1/720))) 1/576) (*.f64 (/.f64 (pow.f64 x 8) (fma.f64 x (*.f64 -1/24 x) (*.f64 (pow.f64 x 4) -1/720))) 1/518400))
(fma.f64 (/.f64 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/720))) 1/576 (*.f64 (/.f64 (pow.f64 x 8) (fma.f64 -1/24 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/720))) -1/518400))
(fma.f64 (/.f64 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/720))) 1/576 (/.f64 (*.f64 (pow.f64 x 8) -1/518400) (fma.f64 -1/24 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/720))))
(-.f64 (+.f64 (*.f64 x (*.f64 x -1/24)) (exp.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 4))))) 1)
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(-.f64 (+.f64 (*.f64 1/720 (pow.f64 x 4)) (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/24))))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x)))) 1) (*.f64 1/720 (pow.f64 x 4)))
(fma.f64 1/720 (pow.f64 x 4) (expm1.f64 (log1p.f64 (*.f64 -1/24 (*.f64 x x)))))
(*.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))) 1)
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(*.f64 1 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))))
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))))
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))) 2))
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))))
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(*.f64 (*.f64 x x) (+.f64 -1/24 (*.f64 1/720 (*.f64 x x))))
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(*.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400)) (/.f64 1 (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 4) 1/576 (*.f64 (pow.f64 x 8) -1/518400)) 1) (fma.f64 x (*.f64 -1/24 x) (*.f64 (pow.f64 x 4) -1/720)))
(/.f64 (fma.f64 (pow.f64 x 4) 1/576 (*.f64 (pow.f64 x 8) -1/518400)) (fma.f64 -1/24 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/720)))
(*.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000)) 1) (fma.f64 (pow.f64 x 8) 1/518400 (*.f64 x (*.f64 (*.f64 -1/24 x) (fma.f64 x (*.f64 -1/24 x) (*.f64 (pow.f64 x 4) -1/720))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6)) (fma.f64 x (*.f64 (*.f64 -1/24 x) (fma.f64 -1/24 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/720))) (*.f64 (pow.f64 x 8) 1/518400)))
(*.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720))) (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 4) 1/576 (*.f64 (pow.f64 x 8) -1/518400)) 1) (fma.f64 x (*.f64 -1/24 x) (*.f64 (pow.f64 x 4) -1/720)))
(/.f64 (fma.f64 (pow.f64 x 4) 1/576 (*.f64 (pow.f64 x 8) -1/518400)) (fma.f64 -1/24 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/720)))
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720))))) (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000)) 1) (fma.f64 (pow.f64 x 8) 1/518400 (*.f64 x (*.f64 (*.f64 -1/24 x) (fma.f64 x (*.f64 -1/24 x) (*.f64 (pow.f64 x 4) -1/720))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6)) (fma.f64 x (*.f64 (*.f64 -1/24 x) (fma.f64 -1/24 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/720))) (*.f64 (pow.f64 x 8) 1/518400)))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400)) (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400))) (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))))
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400)) (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 -1/373248000 (pow.f64 (pow.f64 x 4) 3)))) (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (*.f64 1/720 (pow.f64 x 4)) (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x 4) 1/576 (*.f64 (pow.f64 x 8) -1/518400)) (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -1/373248000))) (fma.f64 (pow.f64 x 4) 1/576 (*.f64 1/720 (*.f64 (pow.f64 x 4) (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 4) 1/576 (*.f64 (pow.f64 x 8) -1/518400)) (fma.f64 1/720 (*.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))) (*.f64 (pow.f64 x 4) 1/576))) (fma.f64 (pow.f64 (pow.f64 x 4) 3) -1/373248000 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6)))
(/.f64 (fma.f64 (pow.f64 x 4) 1/576 (*.f64 (pow.f64 x 8) -1/518400)) (/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) -1/373248000 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6)) (*.f64 (pow.f64 x 4) (+.f64 1/576 (*.f64 1/720 (*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24))))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000)) (-.f64 (*.f64 (pow.f64 x 8) 1/331776) (pow.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 (pow.f64 x 4) -1/720))) 2))) (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400)) (*.f64 x (*.f64 (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000)) (+.f64 (fma.f64 (pow.f64 x 4) 1/576 (*.f64 (pow.f64 x 8) -1/518400)) (*.f64 x (*.f64 (*.f64 1/720 (pow.f64 x 4)) (*.f64 -1/24 x))))) (-.f64 (*.f64 (pow.f64 x 8) 1/331776) (pow.f64 (fma.f64 (pow.f64 x 8) 1/518400 (*.f64 (*.f64 -1/24 (*.f64 x x)) (*.f64 (pow.f64 x 4) -1/720))) 2)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6)) (-.f64 (*.f64 (pow.f64 x 8) 1/331776) (pow.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 -1/24 x) (pow.f64 x 4)) -1/720) (*.f64 (pow.f64 x 8) 1/518400)) 2))) (fma.f64 x (*.f64 x (*.f64 -1/17280 (pow.f64 x 4))) (fma.f64 (pow.f64 x 4) 1/576 (*.f64 (pow.f64 x 8) -1/518400))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6)) (-.f64 (*.f64 (pow.f64 x 8) 1/331776) (pow.f64 (fma.f64 x (*.f64 (*.f64 (*.f64 -1/24 x) (pow.f64 x 4)) -1/720) (*.f64 (pow.f64 x 8) 1/518400)) 2))) (fma.f64 x (*.f64 (pow.f64 x 4) (*.f64 x -1/17280)) (fma.f64 (pow.f64 x 4) 1/576 (*.f64 (pow.f64 x 8) -1/518400))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000)) (+.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/576) 3) (pow.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 (pow.f64 x 4) -1/720))) 3))) (+.f64 (*.f64 (pow.f64 x 8) 1/331776) (*.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 (pow.f64 x 4) -1/720))) (-.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 (pow.f64 x 4) -1/720))) (*.f64 (pow.f64 x 4) 1/576)))))
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(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/576) (*.f64 (pow.f64 x 8) -1/518400)) (neg.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 4) 1/576 (*.f64 (pow.f64 x 8) -1/518400)) 1) (fma.f64 x (*.f64 -1/24 x) (*.f64 (pow.f64 x 4) -1/720)))
(/.f64 (fma.f64 (pow.f64 x 4) 1/576 (*.f64 (pow.f64 x 8) -1/518400)) (fma.f64 -1/24 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/720)))
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/518400) (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 x (*.f64 x -1/24) (*.f64 (pow.f64 x 4) -1/720)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000)) 1) (fma.f64 (pow.f64 x 8) 1/518400 (*.f64 x (*.f64 (*.f64 -1/24 x) (fma.f64 x (*.f64 -1/24 x) (*.f64 (pow.f64 x 4) -1/720))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000 (pow.f64 (*.f64 x (sqrt.f64 -1/24)) 6)) (fma.f64 x (*.f64 (*.f64 -1/24 x) (fma.f64 -1/24 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/720))) (*.f64 (pow.f64 x 8) 1/518400)))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))) 2))
(sqrt.f64 (pow.f64 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))) 2))
(fabs.f64 (*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24)))
(fabs.f64 (*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24))))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))))
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))))))
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4))) 3))
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))))
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))))
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))))
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(fma.f64 x (*.f64 x -1/24) (*.f64 1/720 (pow.f64 x 4)))
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(fma.f64 (*.f64 x -1/24) x (*.f64 1/720 (pow.f64 x 4)))
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24)))
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(fma.f64 (pow.f64 x 4) 1/720 (*.f64 x (*.f64 x -1/24)))
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(fma.f64 1 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4)))
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(fma.f64 1 (*.f64 1/720 (pow.f64 x 4)) (*.f64 x (*.f64 x -1/24)))
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(fma.f64 (*.f64 x (sqrt.f64 -1/24)) (*.f64 x (sqrt.f64 -1/24)) (*.f64 1/720 (pow.f64 x 4)))
(fma.f64 (*.f64 (sqrt.f64 1/720) (*.f64 x x)) (*.f64 (sqrt.f64 1/720) (*.f64 x x)) (*.f64 x (*.f64 x -1/24)))
(+.f64 (pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/720)) 2) (*.f64 -1/24 (*.f64 x x)))
(+.f64 (*.f64 -1/24 (*.f64 x x)) (pow.f64 (*.f64 x (*.f64 x (sqrt.f64 1/720))) 2))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (*.f64 x (*.f64 x -1/24))) (*.f64 1/720 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/576)) (cbrt.f64 (*.f64 -1/24 (*.f64 x x))) (*.f64 1/720 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/518400)) (cbrt.f64 (*.f64 1/720 (pow.f64 x 4))) (*.f64 x (*.f64 x -1/24)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/518400)) (cbrt.f64 (*.f64 1/720 (pow.f64 x 4))) (*.f64 -1/24 (*.f64 x x)))
(fma.f64 (*.f64 x x) -1/24 (*.f64 1/720 (pow.f64 x 4)))
(fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 1/720 (*.f64 x x) -1/24))
(*.f64 x (*.f64 x (fma.f64 1/720 (*.f64 x x) -1/24)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 4)))) 1)
(*.f64 1/720 (pow.f64 x 4))
(pow.f64 (*.f64 1/720 (pow.f64 x 4)) 1)
(*.f64 1/720 (pow.f64 x 4))
(pow.f64 (*.f64 (sqrt.f64 1/720) (*.f64 x x)) 2)
(pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/720)) 2)
(pow.f64 (*.f64 x (*.f64 x (sqrt.f64 1/720))) 2)
(pow.f64 (cbrt.f64 (*.f64 1/720 (pow.f64 x 4))) 3)
(*.f64 1/720 (pow.f64 x 4))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000))
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/518400))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) 1/720))
(*.f64 1/720 (pow.f64 x 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/720 (pow.f64 x 4)))))
(*.f64 1/720 (pow.f64 x 4))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/373248000))
(expm1.f64 (log1p.f64 (*.f64 1/720 (pow.f64 x 4))))
(*.f64 1/720 (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 1/720 (pow.f64 x 4))))
(*.f64 1/720 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 1/720 (pow.f64 x 4))))
(*.f64 1/720 (pow.f64 x 4))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓1.0b
(pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) -1)
1.6b
(-.f64 1 (cos.f64 x))
✓10.8b
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
Compiler

Compiled 31 to 15 computations (51.6% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite155.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
1396×associate-*r/
1334×associate-/r*
1028×associate-/l*
1012×associate-*l/
968×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01152
123246
2299246
Stop Event
1×node limit
Counts
2 → 272
Calls
Call 1
Inputs
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 -1 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (cos.f64 x)) (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (/.f64 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (pow.f64 x 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 -1 (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 (cos.f64 x))) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (pow.f64 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simplify208.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1094×associate-/l*
786×associate-/l/
744×associate-/r*
728×*-commutative
676×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064711742
1180611408
2766411408
Stop Event
1×node limit
Counts
296 → 390
Calls
Call 1
Inputs
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)))
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 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) 1)
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 x x) (/.f64 -1 (+.f64 -1 (cos.f64 x))))
(*.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 1)
(*.f64 -1 (neg.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))))
(*.f64 (+.f64 1 (cos.f64 x)) (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (sin.f64 x))))
(*.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x))) (*.f64 x x))
(*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (/.f64 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x)))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (pow.f64 x 4)) 1))
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 -1 (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x)
(*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 x 1))
(*.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(*.f64 (/.f64 (*.f64 x x) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(*.f64 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (/.f64 1 (+.f64 -1 (cos.f64 x))) (*.f64 x (neg.f64 x)))
(*.f64 (/.f64 x 1) (/.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 x (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 x (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (/.f64 (*.f64 x x) 1) 1) (/.f64 -1 (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
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(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (*.f64 x x) (cbrt.f64 (-.f64 1 (cos.f64 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 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x))))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x)))))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (cos.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) x) (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (pow.f64 (*.f64 x x) -1) (/.f64 1 (pow.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x))) -1)))
(/.f64 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1) (/.f64 1 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -1) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) -1)))
(/.f64 (pow.f64 (*.f64 x x) -1/2) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x))) -1/2)))
(/.f64 (pow.f64 1 -1/2) (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1/2) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1/2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -1/2) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) -1/2)))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))) (sin.f64 x)))
(/.f64 (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
(/.f64 (*.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 -1 (+.f64 -1 (cos.f64 x))))
(/.f64 (*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 (/.f64 1 (*.f64 x x)) 1) (/.f64 -1 (+.f64 -1 (cos.f64 x))))
(/.f64 (*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (/.f64 1 (*.f64 x 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 (*.f64 x x)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (/.f64 1 (*.f64 x x)) (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (-.f64 (+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (neg.f64 (cos.f64 x))))
(/.f64 (*.f64 (/.f64 1 x) 1) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (/.f64 1 x) (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 (sin.f64 x) (sin.f64 x))) (*.f64 x (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 x (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (cos.f64 x))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) x)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x)) x)
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (*.f64 x x))) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (*.f64 x x))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (*.f64 x x))) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 1 (*.f64 x x))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (/.f64 1 (*.f64 x x))) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (/.f64 1 (*.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 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) 1) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) 1)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))) 1)
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (/.f64 1 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 1 (cos.f64 x)))
(/.f64 (/.f64 1 (/.f64 x (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (/.f64 1 (/.f64 x 1)) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))) (sqrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 (cbrt.f64 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 x x)) (+.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (neg.f64 x))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) 1) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) -1) (*.f64 x x))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 (*.f64 x (neg.f64 x)))) (sqrt.f64 (*.f64 x (neg.f64 x))))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x))))) (cbrt.f64 (*.f64 x (neg.f64 x))))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (/.f64 1 (*.f64 x x)) (sqrt.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x))))) (sqrt.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 1 (*.f64 x x)) (*.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x)))) (cbrt.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x)))))) (cbrt.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))) (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))) (cbrt.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (cbrt.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) 1) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) 1) (cbrt.f64 (*.f64 x (/.f64 x (-.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 (+.f64 -1 (cos.f64 x)))))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (*.f64 (log.f64 x) 2)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
Outputs
2
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2)
(fma.f64 1/6 (*.f64 x x) 2)
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (*.f64 1/120 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (+.f64 2 (*.f64 1/120 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 1/120 (pow.f64 x 4) 2))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 1/3024 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 (fma.f64 1/6 (*.f64 x x) 2) (fma.f64 1/3024 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 (fma.f64 1/6 (*.f64 x x) 2) (fma.f64 1/120 (pow.f64 x 4) (*.f64 1/3024 (pow.f64 x 6))))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/720)))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (*.f64 (pow.f64 x 4) 1/720))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/720))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 (pow.f64 x 4) 1/720 (*.f64 (pow.f64 x 6) -1/40320)))
(/.f64 (-.f64 1 (cos.f64 x)) (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))
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(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x (+.f64 x (*.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (neg.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) 1) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) -1) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (cbrt.f64 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 (pow.f64 x 4)))))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 (*.f64 x (neg.f64 x)))) (sqrt.f64 (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x))))) (cbrt.f64 (*.f64 x (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (cbrt.f64 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 (pow.f64 x 4)))))
(/.f64 (/.f64 (/.f64 1 (*.f64 x x)) (sqrt.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x))))) (sqrt.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 1 (*.f64 x x)) (*.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x)))) (cbrt.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x)))))) (cbrt.f64 (/.f64 -1 (+.f64 -1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x (+.f64 x (*.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))) (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 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 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))) (cbrt.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 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 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (cbrt.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) 1) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (cbrt.f64 (pow.f64 x 4))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) 1) (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 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 (/.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 (+.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 (+.f64 (cos.f64 x) -1))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 1 (-.f64 1 (cos.f64 x))))))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -2))
(fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (cos.f64 x))) (*.f64 (log.f64 x) 2)))
(/.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))

eval779.0ms (7%)

Compiler

Compiled 33948 to 21005 computations (38.1% saved)

prune691.0ms (6.2%)

Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New1615111626
Fresh549
Picked101
Done358
Total1624201644
Error
0b
Counts
1644 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
27.4b
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
48.9b
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
▶27.2b
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
27.4b
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
✓28.8b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
✓14.6b
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
▶1.1b
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x))
▶28.4b
(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
28.8b
(/.f64 -1 (/.f64 (*.f64 x (neg.f64 x)) (-.f64 1 (cos.f64 x))))
28.4b
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
▶28.5b
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
✓35.2b
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1))
34.9b
(+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24)))
✓35.2b
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
✓0.1b
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
28.8b
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
▶48.1b
(neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (neg.f64 x)))
27.4b
(neg.f64 (/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (neg.f64 x)))
28.8b
(neg.f64 (/.f64 (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (neg.f64 x)))
34.2b
1/2
Compiler

Compiled 401 to 272 computations (32.2% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(tan.f64 (*.f64 x 1/2))
✓0.1b
(*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x)
✓0.2b
(/.f64 x (tan.f64 (*.f64 x 1/2)))
✓1.0b
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x))
Compiler

Compiled 37 to 23 computations (37.8% saved)

series6.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/.f64 x (tan.f64 (*.f64 x 1/2)))
1.0ms
x
@0
(*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x)
1.0ms
x
@-inf
(*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x)
1.0ms
x
@inf
(/.f64 x (tan.f64 (*.f64 x 1/2)))
0.0ms
x
@inf
(*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x)

rewrite94.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01173
123473
2317273
Stop Event
1×node limit
Counts
3 → 170
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x))
(/.f64 x (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))))) 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simplify98.0ms (0.9%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
04436788
112236732
244106732
Stop Event
1×node limit
Counts
206 → 248
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
2
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/360 (pow.f64 x 4))))
(+.f64 (*.f64 -1/15120 (pow.f64 x 6)) (+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/360 (pow.f64 x 4)))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(*.f64 2 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -1/360 (pow.f64 x 5))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/360 (pow.f64 x 5)) (*.f64 -1/15120 (pow.f64 x 7)))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) 1)
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 1)
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))
(*.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 1 x))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(*.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (tan.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x)))
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(sqrt.f64 (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 2))
(log.f64 (exp.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) 1)
(/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))
(/.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 1)
(/.f64 1 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (*.f64 x x) 1) (tan.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (tan.f64 (*.f64 x 1/2))))
(pow.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 1)
(pow.f64 (/.f64 x (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 3)
(pow.f64 (pow.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 3) 1/3)
(neg.f64 (*.f64 x (/.f64 (neg.f64 x) (tan.f64 (*.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))))
(exp.f64 (log.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
2
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/6 (*.f64 x x)))
(fma.f64 -1/6 (*.f64 x x) 2)
(+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/360 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/360)))
(+.f64 2 (fma.f64 (pow.f64 x 4) -1/360 (*.f64 x (*.f64 x -1/6))))
(+.f64 (fma.f64 -1/6 (*.f64 x x) 2) (*.f64 (pow.f64 x 4) -1/360))
(+.f64 (*.f64 -1/15120 (pow.f64 x 6)) (+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/360 (pow.f64 x 4)))))
(fma.f64 -1/15120 (pow.f64 x 6) (+.f64 2 (fma.f64 -1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/360))))
(+.f64 (fma.f64 (pow.f64 x 4) -1/360 (*.f64 x (*.f64 x -1/6))) (fma.f64 (pow.f64 x 6) -1/15120 2))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(*.f64 x (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 2 x))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 x 2))
(fma.f64 x 2 (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 x (fma.f64 -1/6 (*.f64 x x) 2))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -1/360 (pow.f64 x 5))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 2 x (*.f64 -1/360 (pow.f64 x 5))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 x 2 (*.f64 -1/360 (pow.f64 x 5))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/360 (pow.f64 x 5) (*.f64 x 2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -1/360 (pow.f64 x 5)) (*.f64 -1/15120 (pow.f64 x 7)))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 2 x (fma.f64 -1/360 (pow.f64 x 5) (*.f64 -1/15120 (pow.f64 x 7)))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 x 2 (fma.f64 -1/360 (pow.f64 x 5) (*.f64 -1/15120 (pow.f64 x 7)))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 x x))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 x x))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 x x))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 x x))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 x x))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 x x))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 x x))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))) 1)
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))) 1)
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 1 x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (tan.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (tan.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (tan.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (tan.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 x x)))
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(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 3)
(/.f64 (*.f64 x x) (tan.f64 (*.f64 1/2 x)))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(pow.f64 (pow.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 3) 1/3)
(/.f64 (*.f64 x x) (tan.f64 (*.f64 1/2 x)))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(neg.f64 (*.f64 x (/.f64 (neg.f64 x) (tan.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 x x) (tan.f64 (*.f64 1/2 x)))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 1/2 x))) 2))
(fabs.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 x x) (tan.f64 (*.f64 1/2 x)))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))
(/.f64 (*.f64 x x) (tan.f64 (*.f64 1/2 x)))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 3))
(/.f64 (*.f64 x x) (tan.f64 (*.f64 1/2 x)))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 3)))
(/.f64 (*.f64 x x) (tan.f64 (*.f64 1/2 x)))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 3) (pow.f64 x 3)))
(/.f64 (*.f64 x x) (tan.f64 (*.f64 1/2 x)))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))))
(/.f64 (*.f64 x x) (tan.f64 (*.f64 1/2 x)))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(exp.f64 (log.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))))
(/.f64 (*.f64 x x) (tan.f64 (*.f64 1/2 x)))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 1))
(/.f64 (*.f64 x x) (tan.f64 (*.f64 1/2 x)))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x))))
(/.f64 (*.f64 x x) (tan.f64 (*.f64 1/2 x)))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (neg.f64 x))
✓32.0b
(/.f64 (*.f64 (*.f64 1/2 x) x) x)
Compiler

Compiled 41 to 23 computations (43.9% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite66.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1874×add-sqr-sqrt
1854×*-un-lft-identity
1742×add-cube-cbrt
212×pow1
204×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01048
121720
2334420
Stop Event
1×node limit
Counts
2 → 98
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 1/2 x) x) x)
(/.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (neg.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (*.f64 x x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (*.f64 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/2 x) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 (*.f64 (sqrt.f64 1/2) x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/2 x)) (neg.f64 (sqrt.f64 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 2) (*.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (neg.f64 (cbrt.f64 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (*.f64 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 x)) (/.f64 (*.f64 1/2 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 1/2 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 1/2 (*.f64 x x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 1/2 (*.f64 x x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/2 x) (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 x))) (sqrt.f64 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2)) (cbrt.f64 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 (*.f64 x x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) 1) (/.f64 (*.f64 (sqrt.f64 1/2) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 (sqrt.f64 1/2) x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 1/2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (pow.f64 (exp.f64 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 1/2 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/2 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) (/.f64 (*.f64 (sqrt.f64 1/2) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/2 x)) (*.f64 (sqrt.f64 (*.f64 1/2 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/2 x)) (/.f64 (sqrt.f64 (*.f64 1/2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) x)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) x)) 2) (cbrt.f64 (/.f64 (*.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (*.f64 (cbrt.f64 (*.f64 1/2 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 1/2 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 1/2 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) 1) (/.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 2) x) (/.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) -1) (/.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 1/2 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 1/2 x)) -1) (/.f64 (sqrt.f64 (*.f64 1/2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 1/2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 1/2 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (*.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) -1) (/.f64 (cbrt.f64 (*.f64 1/2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 1/2 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 1/2 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 1/2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 1/2 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 1/2 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 1/2 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 1/2 x) x)))))))

simplify67.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1268×associate-/l/
974×associate-+r-
956×*-commutative
820×associate-/r/
518×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02071074
1565630
22944624
37718624
Stop Event
1×node limit
Counts
122 → 110
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
(-.f64 0 (*.f64 1/2 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 x))) 1)
(*.f64 1/2 x)
(*.f64 1/2 (*.f64 (*.f64 x x) (/.f64 1 x)))
(*.f64 1/2 (/.f64 (*.f64 x x) x))
(*.f64 x 1/2)
(*.f64 x (/.f64 (*.f64 1/2 x) x))
(*.f64 (*.f64 1/2 x) 1)
(*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 1 x))
(*.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 (/.f64 1 x)))
(*.f64 (/.f64 (*.f64 1/2 x) x) x)
(*.f64 1 (*.f64 1/2 x))
(*.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 (*.f64 (sqrt.f64 1/2) x) (/.f64 1 x)))
(*.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)))
(*.f64 (sqrt.f64 (*.f64 1/2 x)) (neg.f64 (sqrt.f64 (*.f64 1/2 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 2) (*.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (neg.f64 (cbrt.f64 (*.f64 1/2 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2))
(*.f64 -1 (*.f64 1/2 x))
(*.f64 (/.f64 1 x) (*.f64 1/2 (*.f64 x x)))
(*.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (/.f64 x 1) (/.f64 (*.f64 1/2 x) x))
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 1/2 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 1/2 (*.f64 x x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 1/2 (*.f64 x x)) (cbrt.f64 x)))
(*.f64 (/.f64 (*.f64 1/2 x) (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 x))) (sqrt.f64 (*.f64 1/2 x)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2)) (cbrt.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 (*.f64 x x) (sqrt.f64 x)))
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x x) (cbrt.f64 x)))
(*.f64 (/.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) 1) (/.f64 (*.f64 (sqrt.f64 1/2) x) x))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 (sqrt.f64 1/2) x) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 1/2 x)))
(pow.f64 (*.f64 1/2 x) 1)
(pow.f64 (sqrt.f64 (*.f64 1/2 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/2 x)) 3)
(pow.f64 (pow.f64 (*.f64 1/2 x) 3) 1/3)
(pow.f64 (/.f64 1 (*.f64 1/2 x)) -1)
(neg.f64 (*.f64 1/2 x))
(sqrt.f64 (*.f64 1/4 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 1/2) x))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 1/2) x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))))
(cbrt.f64 (pow.f64 (*.f64 1/2 x) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 x)))
(exp.f64 (log.f64 (*.f64 1/2 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 1/2 x) x))) 1)
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
(*.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (/.f64 1 x) (/.f64 1 x)))
(*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (*.f64 1/2 x) x) 1)
(*.f64 1 (/.f64 (*.f64 1/2 x) x))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) (/.f64 (*.f64 (sqrt.f64 1/2) x) x))
(*.f64 (sqrt.f64 (*.f64 1/2 x)) (*.f64 (sqrt.f64 (*.f64 1/2 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (*.f64 1/2 x)) (/.f64 (sqrt.f64 (*.f64 1/2 x)) x))
(*.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) x)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) x)) 2) (cbrt.f64 (/.f64 (*.f64 1/2 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (*.f64 (cbrt.f64 (*.f64 1/2 x)) (/.f64 1 x)))
(*.f64 -1 (/.f64 (*.f64 1/2 x) x))
(*.f64 (/.f64 1 x) (*.f64 1/2 x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 1/2 x) (cbrt.f64 x)))
(*.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) 1) (/.f64 (/.f64 1 x) x))
(*.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
(*.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 2) x) (/.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) x))
(*.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) -1) (/.f64 (/.f64 1 x) x))
(*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 1/2 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 x)) -1) (/.f64 (sqrt.f64 (*.f64 1/2 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 1/2 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 1/2 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (*.f64 1/2 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) -1) (/.f64 (cbrt.f64 (*.f64 1/2 x)) x))
(pow.f64 (/.f64 (*.f64 1/2 x) x) 1)
(pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 1/2 x) x) 3) 1/3)
(pow.f64 (/.f64 x (*.f64 1/2 x)) -1)
(neg.f64 (/.f64 (*.f64 1/2 x) x))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 1/2 x) x) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 1/2 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 1/2 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 1/2 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 1/2 x) x)))
(exp.f64 (log.f64 (/.f64 (*.f64 1/2 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 1/2 x) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 1/2 x) x)))
Outputs
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
-1/2
(-.f64 0 (*.f64 1/2 x))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 x))) 1)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 (*.f64 (*.f64 x x) (/.f64 1 x)))
(*.f64 1/2 x)
(*.f64 1/2 (/.f64 (*.f64 x x) x))
(*.f64 1/2 x)
(*.f64 x 1/2)
(*.f64 1/2 x)
(*.f64 x (/.f64 (*.f64 1/2 x) x))
(*.f64 1/2 x)
(*.f64 (*.f64 1/2 x) 1)
(*.f64 1/2 x)
(*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 1 x))
(*.f64 1/2 x)
(*.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 (/.f64 1 x)))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 (/.f64 (*.f64 1/2 x) x) x)
(*.f64 1/2 x)
(*.f64 1 (*.f64 1/2 x))
(*.f64 1/2 x)
(*.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 (*.f64 (sqrt.f64 1/2) x) (/.f64 1 x)))
(*.f64 1/2 x)
(*.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)))
(*.f64 1/2 x)
(*.f64 (sqrt.f64 (*.f64 1/2 x)) (neg.f64 (sqrt.f64 (*.f64 1/2 x))))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2))
(*.f64 1/2 x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 2) (*.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (/.f64 1 x)))
(*.f64 1/2 x)
(*.f64 (cbrt.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2))
(*.f64 1/2 x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)))
(*.f64 1/2 x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (neg.f64 (cbrt.f64 (*.f64 1/2 x))))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2))
(*.f64 1/2 x)
(*.f64 -1 (*.f64 1/2 x))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 (/.f64 1 x) (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 x)
(*.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 1/2 x)
(*.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 1/2 x)
(*.f64 (/.f64 x 1) (/.f64 (*.f64 1/2 x) x))
(*.f64 1/2 x)
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(*.f64 1/2 x)
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 1/2 x) (cbrt.f64 x)))
(*.f64 1/2 x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 1/2 (*.f64 x x)) (sqrt.f64 x)))
(*.f64 1/2 x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 1/2 (*.f64 x x)) (cbrt.f64 x)))
(*.f64 1/2 x)
(*.f64 (/.f64 (*.f64 1/2 x) (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)))
(*.f64 1/2 x)
(*.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 x))) (sqrt.f64 (*.f64 1/2 x)))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2)) (cbrt.f64 (*.f64 1/2 x)))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 (/.f64 1/2 (sqrt.f64 x)) (/.f64 (*.f64 x x) (sqrt.f64 x)))
(*.f64 1/2 x)
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x x) (cbrt.f64 x)))
(*.f64 1/2 x)
(*.f64 (/.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x)))
(*.f64 1/2 x)
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) 1) (/.f64 (*.f64 (sqrt.f64 1/2) x) x))
(*.f64 1/2 x)
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 (sqrt.f64 1/2) x) (cbrt.f64 x)))
(*.f64 1/2 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) x))
(*.f64 1/2 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (sqrt.f64 x)))
(*.f64 1/2 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 1/2 x)))
(*.f64 (cbrt.f64 (*.f64 1/2 x)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 1/2 x) x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (*.f64 1/2 x)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (*.f64 1/2 x) 1)
(*.f64 1/2 x)
(pow.f64 (sqrt.f64 (*.f64 1/2 x)) 2)
(*.f64 1/2 x)
(pow.f64 (cbrt.f64 (*.f64 1/2 x)) 3)
(*.f64 1/2 x)
(pow.f64 (pow.f64 (*.f64 1/2 x) 3) 1/3)
(*.f64 1/2 x)
(pow.f64 (/.f64 1 (*.f64 1/2 x)) -1)
(*.f64 1/2 x)
(neg.f64 (*.f64 1/2 x))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(sqrt.f64 (*.f64 1/4 (*.f64 x x)))
(sqrt.f64 (*.f64 (*.f64 x x) 1/4))
(sqrt.f64 (*.f64 x (*.f64 x 1/4)))
(fabs.f64 (*.f64 1/2 x))
(log.f64 (pow.f64 (exp.f64 1/2) x))
(*.f64 1/2 x)
(log.f64 (/.f64 1 (pow.f64 (exp.f64 1/2) x)))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))))
(*.f64 1/2 x)
(cbrt.f64 (pow.f64 (*.f64 1/2 x) 3))
(*.f64 1/2 x)
(expm1.f64 (log1p.f64 (*.f64 1/2 x)))
(*.f64 1/2 x)
(exp.f64 (log.f64 (*.f64 1/2 x)))
(*.f64 1/2 x)
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 x)) 1))
(*.f64 1/2 x)
(log1p.f64 (expm1.f64 (*.f64 1/2 x)))
(*.f64 1/2 x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 1/2 x) x))) 1)
(/.f64 (*.f64 1/2 x) x)
1/2
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
(/.f64 (*.f64 1/2 x) x)
1/2
(*.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 (*.f64 1/2 x) x)
1/2
(*.f64 (*.f64 1/2 (*.f64 x x)) (/.f64 1 (*.f64 x x)))
(/.f64 (*.f64 1/2 x) x)
1/2
(*.f64 (/.f64 (*.f64 1/2 x) x) 1)
(/.f64 (*.f64 1/2 x) x)
1/2
(*.f64 1 (/.f64 (*.f64 1/2 x) x))
(/.f64 (*.f64 1/2 x) x)
1/2
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) (/.f64 (*.f64 (sqrt.f64 1/2) x) x))
(/.f64 (*.f64 1/2 x) x)
1/2
(*.f64 (sqrt.f64 (*.f64 1/2 x)) (*.f64 (sqrt.f64 (*.f64 1/2 x)) (/.f64 1 x)))
(/.f64 (*.f64 1/2 x) x)
1/2
(*.f64 (sqrt.f64 (*.f64 1/2 x)) (/.f64 (sqrt.f64 (*.f64 1/2 x)) x))
(/.f64 (*.f64 1/2 x) x)
1/2
(*.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) x)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) x)) 2))
(/.f64 (*.f64 1/2 x) x)
1/2
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) x)) 2) (cbrt.f64 (/.f64 (*.f64 1/2 x) x)))
(/.f64 (*.f64 1/2 x) x)
1/2
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (*.f64 (cbrt.f64 (*.f64 1/2 x)) (/.f64 1 x)))
(/.f64 (*.f64 1/2 x) x)
1/2
(*.f64 -1 (/.f64 (*.f64 1/2 x) x))
-1/2
(*.f64 (/.f64 1 x) (*.f64 1/2 x))
(/.f64 (*.f64 1/2 x) x)
1/2
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 1/2 x) (sqrt.f64 x)))
(/.f64 (*.f64 1/2 x) x)
1/2
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 1/2 x) (cbrt.f64 x)))
(/.f64 (*.f64 1/2 x) x)
1/2
(*.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) 1) (/.f64 (/.f64 1 x) x))
(/.f64 (*.f64 1/2 x) x)
1/2
(*.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
(/.f64 (*.f64 1/2 x) x)
1/2
(*.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(/.f64 (*.f64 1/2 x) x)
1/2
(*.f64 (/.f64 1/2 x) (/.f64 (*.f64 x x) x))
(/.f64 (*.f64 1/2 x) x)
1/2
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 2) x) (/.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) x))
(/.f64 (*.f64 1/2 x) x)
1/2
(*.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) -1) (/.f64 (/.f64 1 x) x))
-1/2
(*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 1/2 x)) (cbrt.f64 x)))
(/.f64 (*.f64 1/2 x) x)
1/2
(*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 x)) -1) (/.f64 (sqrt.f64 (*.f64 1/2 x)) x))
-1/2
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 1/2 x)) x))
(/.f64 (*.f64 1/2 x) x)
1/2
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 1/2 x)) (sqrt.f64 x)))
(/.f64 (*.f64 1/2 x) x)
1/2
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (*.f64 1/2 x) x)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) x)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 1/2) (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) -1) (/.f64 (cbrt.f64 (*.f64 1/2 x)) x))
-1/2
(pow.f64 (/.f64 (*.f64 1/2 x) x) 1)
(/.f64 (*.f64 1/2 x) x)
1/2
(pow.f64 (/.f64 (*.f64 (sqrt.f64 1/2) x) x) 2)
(/.f64 (*.f64 1/2 x) x)
1/2
(pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) x)) 3)
(/.f64 (*.f64 1/2 x) x)
1/2
(pow.f64 (pow.f64 (/.f64 (*.f64 1/2 x) x) 3) 1/3)
(/.f64 (*.f64 1/2 x) x)
1/2
(pow.f64 (/.f64 x (*.f64 1/2 x)) -1)
(/.f64 (*.f64 1/2 x) x)
1/2
(neg.f64 (/.f64 (*.f64 1/2 x) x))
-1/2
(sqrt.f64 (pow.f64 (/.f64 (*.f64 1/2 x) x) 2))
(/.f64 (*.f64 1/2 x) x)
1/2
(log.f64 (exp.f64 (/.f64 (*.f64 1/2 x) x)))
(/.f64 (*.f64 1/2 x) x)
1/2
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 1/2 x) x))))
(/.f64 (*.f64 1/2 x) x)
1/2
(cbrt.f64 (pow.f64 (/.f64 (*.f64 1/2 x) x) 3))
(/.f64 (*.f64 1/2 x) x)
1/2
(expm1.f64 (log1p.f64 (/.f64 (*.f64 1/2 x) x)))
(/.f64 (*.f64 1/2 x) x)
1/2
(exp.f64 (log.f64 (/.f64 (*.f64 1/2 x) x)))
(/.f64 (*.f64 1/2 x) x)
1/2
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 1/2 x) x)) 1))
(/.f64 (*.f64 1/2 x) x)
1/2
(log1p.f64 (expm1.f64 (/.f64 (*.f64 1/2 x) x)))
(/.f64 (*.f64 1/2 x) x)
1/2

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
✓0.3b
(/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))
✓1.1b
(/.f64 2 (*.f64 x x))
✓14.2b
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
Compiler

Compiled 42 to 24 computations (42.9% saved)

series2.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite90.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01194
124776
2329976
Stop Event
1×node limit
Counts
4 → 237
Calls
Call 1
Inputs
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
(/.f64 2 (*.f64 x x))
(/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
Outputs
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1/6) -2)) x) (/.f64 1 (*.f64 x (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)) (*.f64 x x)) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))) (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))) (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))))))) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) (+.f64 -1/36 (neg.f64 (/.f64 -4 (pow.f64 x 4))))) (+.f64 -1/6 (neg.f64 (*.f64 (pow.f64 x -2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) (+.f64 -1/216 (neg.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -2) (-.f64 (/.f64 4 (pow.f64 x 4)) 1/36)) (-.f64 (*.f64 2 (pow.f64 x -2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x -2) -1) (+.f64 -1/36 (neg.f64 (/.f64 -4 (pow.f64 x 4))))) (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x -2) -1) (+.f64 -1/216 (neg.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))) (+.f64 (/.f64 4 (pow.f64 x 4)) 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((x neg.f64 (*.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) (/.f64 1 (neg.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 -1 (*.f64 x (*.f64 x (fma.f64 2 (pow.f64 x -2) 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 (*.f64 x (fma.f64 2 (pow.f64 x -2) 1/6))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3)) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 2 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (*.f64 x x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 2 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -2))))))))
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simplify146.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
914×associate-*r*
792×associate-*l*
688×+-commutative
684×*-commutative
642×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058411013
1169110019
2774510019
Stop Event
1×node limit
Counts
285 → 384
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/288 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/3456 (pow.f64 x 6)) (*.f64 1/288 (pow.f64 x 4)))))
(/.f64 6 (pow.f64 x 2))
(-.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (+.f64 (*.f64 10368 (/.f64 1 (pow.f64 x 8))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))))
(/.f64 6 (pow.f64 x 2))
(-.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (+.f64 (*.f64 10368 (/.f64 1 (pow.f64 x 8))) (*.f64 72 (/.f64 1 (pow.f64 x 4)))))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/288 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))))
(+.f64 (*.f64 1/288 (pow.f64 x 6)) (+.f64 (*.f64 -1/3456 (pow.f64 x 8)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))))
6
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6 (*.f64 864 (/.f64 1 (pow.f64 x 4)))) (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6 (*.f64 864 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 72 (/.f64 1 (pow.f64 x 2))) (*.f64 10368 (/.f64 1 (pow.f64 x 6)))))
6
(-.f64 6 (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6 (*.f64 864 (/.f64 1 (pow.f64 x 4)))) (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 6 (*.f64 864 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 72 (/.f64 1 (pow.f64 x 2))) (*.f64 10368 (/.f64 1 (pow.f64 x 6)))))
(/.f64 2 (pow.f64 x 2))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
1/6
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
1/6
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)))) 1)
(*.f64 1 (/.f64 (pow.f64 x -2) (fma.f64 2 (pow.f64 x -2) 1/6)))
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(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) 1/6)))) (sqrt.f64 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) 1/6))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) 1/6))) (cbrt.f64 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) 1/6))))) (cbrt.f64 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) 1/6))))
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2)))) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1)
(pow.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)) 1)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 3)
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3)) 1/3)
(neg.f64 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) 1/6)))
(sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2)))) 5/6)
(-.f64 (/.f64 1/36 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2))) (/.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/6 (*.f64 (pow.f64 x -2) -2))))
(-.f64 (+.f64 1/6 (exp.f64 (log1p.f64 (*.f64 2 (pow.f64 x -2))))) 1)
(*.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6))
(*.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 1)
(*.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(*.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (neg.f64 (neg.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(*.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (/.f64 1 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2))))
(*.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (/.f64 1 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3)))))
(*.f64 -1 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (cbrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) (neg.f64 (cbrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (neg.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (neg.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(*.f64 (/.f64 1 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2))) (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))
(*.f64 (/.f64 1 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3)))) (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 1) (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) 1) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) -1) (cbrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(*.f64 (/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (fma.f64 2 (pow.f64 x -2) 1/6))
(*.f64 (/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (+.f64 1/216 (*.f64 -8 (pow.f64 (pow.f64 x -2) 3)))) (+.f64 1/36 (+.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) 1/3))))
(*.f64 (/.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (-.f64 1/1296 (*.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 (-.f64 (*.f64 2 (pow.f64 x -2)) 1/6) (-.f64 (*.f64 2 (pow.f64 x -2)) 1/6))))) (+.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (*.f64 (pow.f64 x -2) 1/3)))
(*.f64 (/.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (+.f64 1/46656 (pow.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 -1/3 (pow.f64 x -2))) 3))) (+.f64 1/1296 (*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 -1/3 (pow.f64 x -2))) (-.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (*.f64 -1/3 (pow.f64 x -2))) 1/36))))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) (sqrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (cbrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))) (cbrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (/.f64 1 (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 1 (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)))
(/.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 1)
(/.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2))
(/.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (/.f64 -1 (neg.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)))
(/.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (cbrt.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2) (/.f64 -1 (neg.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)))
(/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (/.f64 1 (/.f64 1 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)))))
(/.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))))
(/.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (/.f64 1 (/.f64 1 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))))))
(/.f64 -1 (/.f64 -1 (fma.f64 2 (pow.f64 x -2) 1/6)))
(/.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) -1)
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (/.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 (sqrt.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (sqrt.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 (sqrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (/.f64 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)) (sqrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))))
(/.f64 (sqrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (sqrt.f64 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (/.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (sqrt.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))))
(/.f64 (sqrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) (/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))) (sqrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))))
(/.f64 (sqrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) (*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (sqrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (cbrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (cbrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))) (/.f64 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)) (cbrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))) (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) (cbrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))) (/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))) (cbrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (/.f64 -1 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (/.f64 -1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(/.f64 (+.f64 -1/36 (neg.f64 (/.f64 -4 (pow.f64 x 4)))) (+.f64 -1/6 (neg.f64 (*.f64 (pow.f64 x -2) -2))))
(/.f64 (+.f64 -1/216 (neg.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3)))))
(/.f64 (-.f64 (/.f64 4 (pow.f64 x 4)) 1/36) (-.f64 (*.f64 2 (pow.f64 x -2)) 1/6))
(/.f64 (-.f64 (/.f64 4 (pow.f64 x 4)) 1/36) (*.f64 1 (-.f64 (*.f64 2 (pow.f64 x -2)) 1/6)))
(/.f64 (-.f64 1/46656 (*.f64 64 (*.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 x -2) 3)))) (*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))) (+.f64 1/216 (*.f64 -8 (pow.f64 (pow.f64 x -2) 3)))))
(/.f64 (+.f64 1/1296 (*.f64 (/.f64 -4 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 4)))) (*.f64 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)) (+.f64 (/.f64 4 (pow.f64 x 4)) 1/36)))
(/.f64 (+.f64 1/10077696 (pow.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)) 3)) (*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))) (+.f64 1/46656 (*.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)) (-.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)) 1/216)))))
(/.f64 (-.f64 1/46656 (pow.f64 (/.f64 4 (pow.f64 x 4)) 3)) (*.f64 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)) (+.f64 1/1296 (*.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 (/.f64 4 (pow.f64 x 4)) 1/36)))))
(/.f64 (neg.f64 (+.f64 -1/36 (neg.f64 (/.f64 -4 (pow.f64 x 4))))) (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)))
(/.f64 (neg.f64 (+.f64 -1/216 (neg.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))) (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))))
(pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 1)
(pow.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)
(pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 3)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3) 1/3)
(neg.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(neg.f64 (/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (+.f64 -1/6 (neg.f64 (*.f64 (pow.f64 x -2) -2)))))
(neg.f64 (/.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))))))
(sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 2))
(log.f64 (exp.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(exp.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(log1p.f64 (expm1.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(fma.f64 1 (*.f64 2 (pow.f64 x -2)) 1/6)
(fma.f64 2 (pow.f64 x -2) 1/6)
(fma.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x) 1/6)
(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 1/6)
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/288 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/288 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/288 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/3456 (pow.f64 x 6)) (*.f64 1/288 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/3456 (pow.f64 x 6) (*.f64 1/288 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/288 (pow.f64 x 4) (*.f64 -1/3456 (pow.f64 x 6))))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(-.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 6 (*.f64 x x)) (/.f64 72 (pow.f64 x 4)))
(+.f64 (/.f64 6 (*.f64 x x)) (/.f64 -72 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 864 (/.f64 1 (pow.f64 x 6)))) (*.f64 72 (/.f64 1 (pow.f64 x 4))))
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(/.f64 (*.f64 (sqrt.f64 (fma.f64 8 (pow.f64 (pow.f64 x -2) 3) 1/216)) (sqrt.f64 (fma.f64 8 (pow.f64 (pow.f64 x -2) 3) 1/216))) (+.f64 1/36 (fma.f64 (pow.f64 x -2) -1/3 (/.f64 4 (pow.f64 x 4)))))
(/.f64 (sqrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) (*.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2) (sqrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2)) (sqrt.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3)))))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 8 (pow.f64 (pow.f64 x -2) 3) 1/216)) (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) -1/2)) (sqrt.f64 (+.f64 1/36 (fma.f64 (pow.f64 x -2) -1/3 (/.f64 4 (pow.f64 x 4))))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (cbrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(*.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (*.f64 (cbrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (cbrt.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (cbrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))) (/.f64 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)) (cbrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))) (cbrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))))) (+.f64 1/6 (*.f64 -2 (pow.f64 x -2)))) (cbrt.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4)))))
(*.f64 (cbrt.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4)))) (/.f64 (*.f64 (cbrt.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4)))) (cbrt.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4))))) (fma.f64 -2 (pow.f64 x -2) 1/6)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))) (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) (cbrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))) (/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))) (cbrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))))
(/.f64 (cbrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) (/.f64 (/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))) (cbrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))) (cbrt.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))))
(/.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 8 (pow.f64 (pow.f64 x -2) 3) 1/216)) (cbrt.f64 (fma.f64 8 (pow.f64 (pow.f64 x -2) 3) 1/216))) (cbrt.f64 (fma.f64 8 (pow.f64 (pow.f64 x -2) 3) 1/216))) (+.f64 1/36 (fma.f64 (pow.f64 x -2) -1/3 (/.f64 4 (pow.f64 x 4)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))) (/.f64 -1 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)) (/.f64 -1 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(/.f64 (+.f64 -1/36 (neg.f64 (/.f64 -4 (pow.f64 x 4)))) (+.f64 -1/6 (neg.f64 (*.f64 (pow.f64 x -2) -2))))
(/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) -1/36) (fma.f64 2 (pow.f64 x -2) -1/6))
(/.f64 (+.f64 -1/216 (neg.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3)))))
(/.f64 (-.f64 -1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x -2) 3) -8 -1/216) (-.f64 (/.f64 -4 (pow.f64 x 4)) (+.f64 1/36 (*.f64 (pow.f64 x -2) -1/3))))
(/.f64 (-.f64 (/.f64 4 (pow.f64 x 4)) 1/36) (-.f64 (*.f64 2 (pow.f64 x -2)) 1/6))
(/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) -1/36) (fma.f64 2 (pow.f64 x -2) -1/6))
(/.f64 (-.f64 (/.f64 4 (pow.f64 x 4)) 1/36) (*.f64 1 (-.f64 (*.f64 2 (pow.f64 x -2)) 1/6)))
(/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) -1/36) (fma.f64 2 (pow.f64 x -2) -1/6))
(/.f64 (-.f64 1/46656 (*.f64 64 (*.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 x -2) 3)))) (*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))) (+.f64 1/216 (*.f64 -8 (pow.f64 (pow.f64 x -2) 3)))))
(/.f64 (-.f64 1/46656 (*.f64 64 (pow.f64 (pow.f64 x -2) 6))) (*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))) (+.f64 1/216 (*.f64 (pow.f64 (pow.f64 x -2) 3) -8))))
(/.f64 (/.f64 (-.f64 1/46656 (*.f64 64 (pow.f64 (pow.f64 x -2) 6))) (+.f64 1/36 (fma.f64 (pow.f64 x -2) -1/3 (/.f64 4 (pow.f64 x 4))))) (fma.f64 (pow.f64 (pow.f64 x -2) 3) -8 1/216))
(/.f64 (+.f64 1/1296 (*.f64 (/.f64 -4 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 4)))) (*.f64 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)) (+.f64 (/.f64 4 (pow.f64 x 4)) 1/36)))
(/.f64 (+.f64 1/1296 (/.f64 (*.f64 -4 (/.f64 4 (pow.f64 x 4))) (pow.f64 x 4))) (*.f64 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))) (+.f64 1/36 (/.f64 4 (pow.f64 x 4)))))
(/.f64 (+.f64 1/1296 (/.f64 (/.f64 -16 (pow.f64 x 4)) (pow.f64 x 4))) (*.f64 (fma.f64 -2 (pow.f64 x -2) 1/6) (+.f64 1/36 (/.f64 4 (pow.f64 x 4)))))
(/.f64 (+.f64 1/10077696 (pow.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)) 3)) (*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))) (+.f64 1/46656 (*.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)) (-.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)) 1/216)))))
(/.f64 (+.f64 1/10077696 (*.f64 512 (pow.f64 (pow.f64 (pow.f64 x -2) 3) 3))) (*.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))) (+.f64 1/46656 (*.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)) (fma.f64 8 (pow.f64 (pow.f64 x -2) 3) -1/216)))))
(/.f64 (fma.f64 512 (pow.f64 (pow.f64 (pow.f64 x -2) 3) 3) 1/10077696) (*.f64 (+.f64 1/36 (fma.f64 (pow.f64 x -2) -1/3 (/.f64 4 (pow.f64 x 4)))) (fma.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3)) (fma.f64 8 (pow.f64 (pow.f64 x -2) 3) -1/216) 1/46656)))
(/.f64 (-.f64 1/46656 (pow.f64 (/.f64 4 (pow.f64 x 4)) 3)) (*.f64 (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)) (+.f64 1/1296 (*.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 (/.f64 4 (pow.f64 x 4)) 1/36)))))
(/.f64 (-.f64 1/46656 (/.f64 64 (pow.f64 (pow.f64 x 4) 3))) (*.f64 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))) (+.f64 1/1296 (*.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 4 (pow.f64 x 4)))))))
(/.f64 (-.f64 1/46656 (pow.f64 (/.f64 4 (pow.f64 x 4)) 3)) (*.f64 (fma.f64 -2 (pow.f64 x -2) 1/6) (fma.f64 (/.f64 4 (pow.f64 x 4)) (+.f64 1/36 (/.f64 4 (pow.f64 x 4))) 1/1296)))
(/.f64 (neg.f64 (+.f64 -1/36 (neg.f64 (/.f64 -4 (pow.f64 x 4))))) (+.f64 1/6 (*.f64 (pow.f64 x -2) -2)))
(-.f64 (/.f64 1/36 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2)))) (/.f64 4 (*.f64 (+.f64 1/6 (*.f64 -2 (pow.f64 x -2))) (pow.f64 x 4))))
(/.f64 (-.f64 1/36 (/.f64 4 (pow.f64 x 4))) (fma.f64 -2 (pow.f64 x -2) 1/6))
(/.f64 (neg.f64 (+.f64 -1/216 (neg.f64 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))))) (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))))
(/.f64 (*.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) 1) (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))))
(/.f64 (fma.f64 8 (pow.f64 (pow.f64 x -2) 3) 1/216) (+.f64 1/36 (fma.f64 (pow.f64 x -2) -1/3 (/.f64 4 (pow.f64 x 4)))))
(pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 1)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(pow.f64 (sqrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 2)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 x -2) 1/6)) 3)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(pow.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3) 1/3)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(neg.f64 (neg.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(neg.f64 (/.f64 (+.f64 1/36 (/.f64 -4 (pow.f64 x 4))) (+.f64 -1/6 (neg.f64 (*.f64 (pow.f64 x -2) -2)))))
(/.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) -1/36) (fma.f64 2 (pow.f64 x -2) -1/6))
(neg.f64 (/.f64 (+.f64 1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3))))))
(/.f64 (-.f64 -1/216 (*.f64 8 (pow.f64 (pow.f64 x -2) 3))) (neg.f64 (+.f64 (/.f64 4 (pow.f64 x 4)) (-.f64 1/36 (*.f64 (pow.f64 x -2) 1/3)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x -2) 3) -8 -1/216) (-.f64 (/.f64 -4 (pow.f64 x 4)) (+.f64 1/36 (*.f64 (pow.f64 x -2) -1/3))))
(sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 2))
(fabs.f64 (fma.f64 2 (pow.f64 x -2) 1/6))
(log.f64 (exp.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (pow.f64 x -2) 1/6))))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 x -2) 1/6) 3))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(expm1.f64 (log1p.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(exp.f64 (log.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(log1p.f64 (expm1.f64 (fma.f64 2 (pow.f64 x -2) 1/6)))
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(fma.f64 1 (*.f64 2 (pow.f64 x -2)) 1/6)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 2 (pow.f64 x -2) 1/6)
(fma.f64 2 (pow.f64 x -2) 1/6)
(+.f64 1/6 (/.f64 2 (*.f64 x x)))
(fma.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x) 1/6)
(+.f64 (pow.f64 (/.f64 (sqrt.f64 2) x) 2) 1/6)
(+.f64 1/6 (pow.f64 (/.f64 (sqrt.f64 2) x) 2))
(fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 2 (pow.f64 x -2))) 1/6)
(fma.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))) 1/6)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
✓0.1b
(/.f64 x (-.f64 1 (cos.f64 x)))
✓1.0b
(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
1.6b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 33 to 18 computations (45.5% saved)

series1.0ms (0%)

Counts
3 → 28
Calls

9 calls:

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

rewrite93.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1584×associate-*l/
1584×associate-/r*
1012×*-commutative
968×associate-/l*
652×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01069
121563
2288263
Stop Event
1×node limit
Counts
3 → 286
Calls
Call 1
Inputs
(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 x (-.f64 1 (cos.f64 x)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
Outputs
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simplify114.0ms (1%)

Algorithm
1×egg-herbie
Rules
1474×associate-/l*
922×associate-/l/
818×associate-*r*
770×*-commutative
708×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069713016
1205112518
Stop Event
1×node limit
Counts
314 → 446
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)))
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(/.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 x (/.f64 (-.f64 1 (cos.f64 x)) x)) 1)
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 3)
(pow.f64 (pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (-.f64 1 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
(exp.f64 (log.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 2 x)
(+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 1/6 x (/.f64 2 x))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x))))
(fma.f64 1/120 (pow.f64 x 3) (fma.f64 1/6 x (/.f64 2 x)))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/6 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 1/3024 (pow.f64 x 5)))))
(fma.f64 1/120 (pow.f64 x 3) (+.f64 (fma.f64 1/6 x (/.f64 2 x)) (*.f64 1/3024 (pow.f64 x 5))))
(+.f64 (fma.f64 1/120 (pow.f64 x 3) (fma.f64 1/6 x (/.f64 2 x))) (*.f64 1/3024 (pow.f64 x 5)))
2
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2)
(fma.f64 1/6 (*.f64 x x) 2)
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (*.f64 1/120 (pow.f64 x 4))))
(+.f64 (fma.f64 1/6 (*.f64 x x) 2) (*.f64 (pow.f64 x 4) 1/120))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 1/3024 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 (fma.f64 1/6 (*.f64 x x) 2) (fma.f64 1/3024 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/120)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(+.f64 (*.f64 (/.f64 1 (*.f64 x x)) 1) (*.f64 (/.f64 1 (*.f64 x x)) (neg.f64 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (*.f64 (/.f64 1 (*.f64 x x)) (neg.f64 (cos.f64 x))) (*.f64 (/.f64 1 (*.f64 x x)) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -1) (*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (neg.f64 (neg.f64 (cos.f64 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 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (cbrt.f64 (pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) -2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) -2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2)))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1))
(/.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 -1 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 (/.f64 1 x) (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x)) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 -1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1) (pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 2) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (sqrt.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 (cos.f64 x)) x) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (/.f64 1 x) -1) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) x)
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1 x) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 (/.f64 1 (*.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 1 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))
(*.f64 (/.f64 (/.f64 1 (*.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 1 (*.f64 (cbrt.f64 x) (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (*.f64 x (cbrt.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(*.f64 (/.f64 1 (neg.f64 (*.f64 x x))) (+.f64 -1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (/.f64 x (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 (neg.f64 x))) (neg.f64 (+.f64 -1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 -1 (neg.f64 (*.f64 x x))) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) -2)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (/.f64 1 (*.f64 x x)) -1) (+.f64 -1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(*.f64 (/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (sqrt.f64 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (sqrt.f64 (neg.f64 x)))) (sqrt.f64 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 (/.f64 1 (*.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 1 (*.f64 (cbrt.f64 (neg.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2)))) (cbrt.f64 (+.f64 (cos.f64 x) -1)))
(*.f64 (/.f64 (/.f64 1 x) (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) 2))) (cbrt.f64 (+.f64 (cos.f64 x) -1)))
(pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -1)
(/.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)
(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 x (/.f64 (-.f64 1 (cos.f64 x)) x)) -2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) -2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) 1) (*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (cos.f64 x)))
(*.f64 (/.f64 x (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))
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(/.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 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 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 x (*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(*.f64 x (/.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) 1)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2)
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))) 3)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(pow.f64 (pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) 3) 1/3)
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 2))
(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)))
(/.f64 (*.f64 x (log.f64 (exp.f64 x))) (-.f64 1 (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)) 3))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) 3) (pow.f64 x 3)))
(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 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(exp.f64 (log.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓1.0b
(/.f64 (cos.f64 x) (*.f64 x x))
✓1.1b
(/.f64 1 (*.f64 x x))
✓14.7b
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
Compiler

Compiled 31 to 10 computations (67.7% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite102.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1344×associate-/l*
1088×*-commutative
546×associate-/r/
518×distribute-lft-in
512×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01053
122047
2328147
Stop Event
1×node limit
Counts
3 → 229
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 1 (*.f64 x x))
(/.f64 (cos.f64 x) (*.f64 x x))
Outputs
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-2) (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x (cos.f64 x)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (pow.f64 x -2)))))) (#(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 (pow.f64 x -2) (cos.f64 x)) 3))))) (#(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))))))))

simplify142.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1060×associate-*r*
1008×associate-*l*
978×times-frac
826×associate-/r*
802×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057012473
1185510939
Stop Event
1×node limit
Counts
265 → 351
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 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) 1/2)
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) 1/2)
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x)))))
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(+.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)))))
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(+.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 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 (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 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.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 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x)))))
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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)))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.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 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 2) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(+.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (+.f64 (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
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(+.f64 (-.f64 (pow.f64 x -2) (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))) 1)
(*.f64 1 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 1)
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (-.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 2))
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(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1))
(pow.f64 x -2)
(pow.f64 (*.f64 x x) -1)
(pow.f64 (pow.f64 x -2) 1)
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)
(pow.f64 (/.f64 1 x) 2)
(pow.f64 (pow.f64 (*.f64 x x) -3) 1/3)
(sqrt.f64 (/.f64 1 (pow.f64 x 4)))
(log.f64 (exp.f64 (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2))))
(cbrt.f64 (pow.f64 (*.f64 x x) -3))
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(exp.f64 (*.f64 -2 (log.f64 x)))
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) 1)
(*.f64 1 (*.f64 (pow.f64 x -2) (cos.f64 x)))
(*.f64 (pow.f64 x -2) (cos.f64 x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) 1)
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) (/.f64 (sqrt.f64 (cos.f64 x)) x))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 2))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)))
(*.f64 (/.f64 (cos.f64 x) x) (/.f64 1 x))
(*.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))
(*.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) -1)
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (*.f64 x (neg.f64 x))))
(*.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 (/.f64 (cos.f64 x) 1) (pow.f64 x -2))
(*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4))))
(*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (/.f64 (sqrt.f64 (cos.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (*.f64 x x)) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 (sqrt.f64 (cos.f64 x)) 1))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) x) (/.f64 (cbrt.f64 (cos.f64 x)) x))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 x x)) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) 1) (pow.f64 x -2))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (*.f64 x (neg.f64 x))) -1)
(pow.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) 1)
(pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 3)
(pow.f64 (*.f64 (/.f64 x (cos.f64 x)) x) -1)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) 3) 1/3)
(neg.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(sqrt.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) 3))
(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)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.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 (+.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 (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 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(fma.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))))
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(fma.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))))
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (/.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 (pow.f64 x -2) (-.f64 1 (cos.f64 x)) (+.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)))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 2) (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(fma.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))))
(+.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 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(fma.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))))
(+.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 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(fma.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))))
(+.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 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (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 (pow.f64 x -2) (-.f64 1 (cos.f64 x)) (+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (neg.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2))))
(+.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 2) (*.f64 (pow.f64 x -2) (cos.f64 x))))
(+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(fma.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))))
(+.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (+.f64 (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(fma.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)) (*.f64 2 (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(fma.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)) (*.f64 2 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2)))))
(+.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(fma.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)) (*.f64 2 (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(fma.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)) (*.f64 2 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2)))))
(+.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (*.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) (-.f64 1 (cos.f64 x)) (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (cos.f64 x) (pow.f64 x -2)))) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) x) (/.f64 (sqrt.f64 (cos.f64 x)) x) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(+.f64 (+.f64 (fma.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)) (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2)))) (neg.f64 (pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2))) (*.f64 (cos.f64 x) (pow.f64 x -2)))
(+.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.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)))))
(fma.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)) (*.f64 2 (fma.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(fma.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)) (*.f64 2 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2)))))
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(*.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 x -2) (*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x))))
(*.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 (pow.f64 x -2) (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (pow.f64 x -2) (cbrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) 1) (pow.f64 x -2))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (cos.f64 x) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (cos.f64 x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (cos.f64 x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 1 (*.f64 x (neg.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (*.f64 x (neg.f64 x))))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x (neg.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (/.f64 (sqrt.f64 (cos.f64 x)) (*.f64 x x)))
(pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2)
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (*.f64 x x)) (sqrt.f64 (cos.f64 x)))
(pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2)
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 (sqrt.f64 (cos.f64 x)) 1))
(pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2)
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 x 4))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 x)) (*.f64 x x)))
(/.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (*.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 (cbrt.f64 (cos.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))
(/.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (*.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 (cbrt.f64 (cos.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) x) (/.f64 (cbrt.f64 (cos.f64 x)) x))
(/.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (*.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 (cbrt.f64 (cos.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) x))
(/.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (*.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 (cbrt.f64 (cos.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 x x)) (cbrt.f64 (cos.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (*.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 (cbrt.f64 (cos.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (*.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (/.f64 (cbrt.f64 (cos.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) 1) (pow.f64 x -2))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (cos.f64 x) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (*.f64 x (neg.f64 x))) -1)
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (*.f64 x (neg.f64 x))))
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x (neg.f64 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 (*.f64 (/.f64 x (cos.f64 x)) x) -1)
(/.f64 (cos.f64 x) (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) 3) 1/3)
(*.f64 (cos.f64 x) (pow.f64 x -2))
(neg.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(sqrt.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (pow.f64 x -2)))
(*.f64 (pow.f64 x -2) (log.f64 (exp.f64 (cos.f64 x))))
(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 (pow.f64 x -2) (cos.f64 x)) 3))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(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))

eval916.0ms (8.2%)

Compiler

Compiled 36467 to 23573 computations (35.4% saved)

prune487.0ms (4.4%)

Pruning

23 alts after pruning (15 fresh and 8 done)

PrunedKeptTotal
New171691725
Fresh4610
Picked011
Done279
Total1722231745
Error
0b
Counts
1745 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
27.4b
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
48.7b
(/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x))
27.4b
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
27.5b
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)
33.0b
(/.f64 (-.f64 (*.f64 1 (neg.f64 x)) (*.f64 x (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 x (neg.f64 x))))
41.7b
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))
✓28.8b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
✓14.6b
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
✓1.1b
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x))
41.0b
(/.f64 6 (*.f64 x x))
28.8b
(/.f64 1 (/.f64 (/.f64 1 (/.f64 (/.f64 1 x) (neg.f64 x))) (+.f64 -1 (cos.f64 x))))
28.8b
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
28.8b
(/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
✓28.4b
(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
13.3b
(/.f64 1 (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))))
✓28.5b
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
✓35.2b
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1))
34.9b
(+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24)))
✓35.2b
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
✓0.1b
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
28.8b
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
27.4b
(neg.f64 (/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (neg.f64 x)))
34.2b
1/2
Compiler

Compiled 270 to 185 computations (31.5% saved)

regimes38.0ms (0.3%)

Counts
44 → 1
Calls
Call 1
Inputs
1/2
(/.f64 6 (*.f64 x x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (neg.f64 x)))
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1))
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
(+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24)))
(/.f64 1 (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))))
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x)))
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 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 (neg.f64 x)) (-.f64 1 (cos.f64 x))))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
(+.f64 1/2 (+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4))))
(neg.f64 (/.f64 (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (neg.f64 x)))
(neg.f64 (/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (neg.f64 x)))
(/.f64 1 (/.f64 (/.f64 1 (/.f64 (/.f64 1 x) (neg.f64 x))) (+.f64 -1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 (*.f64 1 (neg.f64 x)) (*.f64 x (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 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)))
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
(pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) -1)
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(/.f64 (sin.f64 x) (*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) x))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 x x))
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
Outputs
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
Calls

2 calls:

21.0ms
x
6.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 495 to 271 computations (45.3% saved)

regimes64.0ms (0.6%)

Counts
35 → 3
Calls
Call 1
Inputs
1/2
(/.f64 6 (*.f64 x x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (neg.f64 x)))
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1))
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
(+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24)))
(/.f64 1 (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))))
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x)))
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 1 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 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 (neg.f64 x)) (-.f64 1 (cos.f64 x))))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 1 (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
(+.f64 1/2 (+.f64 (*.f64 x (*.f64 x -1/24)) (*.f64 1/720 (pow.f64 x 4))))
(neg.f64 (/.f64 (*.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (neg.f64 x)))
(neg.f64 (/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (neg.f64 x)))
(/.f64 1 (/.f64 (/.f64 1 (/.f64 (/.f64 1 x) (neg.f64 x))) (+.f64 -1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 (*.f64 1 (neg.f64 x)) (*.f64 x (neg.f64 (cos.f64 x)))) (*.f64 x (*.f64 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)))
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
(pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) -1)
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2)))
Outputs
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
Calls

2 calls:

46.0ms
x
9.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.2b3x
1.2b2(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 390 to 211 computations (45.9% saved)

bsearch41.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
0.01328902763120276
6142.921579077491
21.0ms
-5973.2061487670735
-4.103787178337626e-6
Results
35.0ms288×body256valid
Compiler

Compiled 481 to 333 computations (30.8% saved)

regimes35.0ms (0.3%)

Counts
15 → 3
Calls
Call 1
Inputs
1/2
(/.f64 6 (*.f64 x x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (neg.f64 x)))
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1))
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
(+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24)))
(/.f64 1 (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))))
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x)))
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
Outputs
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
Calls

2 calls:

23.0ms
x
9.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.2b3x
1.2b3(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 154 to 88 computations (42.9% saved)

bsearch56.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
0.01328902763120276
6142.921579077491
38.0ms
-5973.2061487670735
-4.103787178337626e-6
Results
52.0ms288×body256valid
Compiler

Compiled 463 to 315 computations (32% saved)

regimes30.0ms (0.3%)

Counts
11 → 3
Calls
Call 1
Inputs
1/2
(/.f64 6 (*.f64 x x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (neg.f64 x)))
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1))
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
(+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24)))
(/.f64 1 (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))))
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Calls

2 calls:

19.0ms
x
8.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
1.2b3x
1.2b3(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 116 to 69 computations (40.5% saved)

bsearch49.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
0.01328902763120276
6142.921579077491
25.0ms
-5973.2061487670735
-4.103787178337626e-6
Results
44.0ms288×body256valid
Compiler

Compiled 463 to 315 computations (32% saved)

regimes8.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
1/2
(/.f64 6 (*.f64 x x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (neg.f64 x)))
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1))
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
(+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24)))
(/.f64 1 (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))))
(/.f64 (/.f64 1 (+.f64 1/6 (/.f64 2 (*.f64 x x)))) (*.f64 x x))
Outputs
(/.f64 1 (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))))
Calls

1 calls:

6.0ms
x
Results
ErrorSegmentsBranch
13.3b1x
Compiler

Compiled 99 to 59 computations (40.4% saved)

regimes17.0ms (0.2%)

Counts
8 → 3
Calls
Call 1
Inputs
1/2
(/.f64 6 (*.f64 x x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (neg.f64 x)))
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1))
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
(+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24)))
Outputs
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))
(+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24)))
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))
Calls

1 calls:

15.0ms
x
Results
ErrorSegmentsBranch
13.1b3x
Compiler

Compiled 73 to 42 computations (42.5% saved)

bsearch40.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
0.01328902763120276
6142.921579077491
19.0ms
-5973.2061487670735
-4.103787178337626e-6
Results
35.0ms288×body256valid
Compiler

Compiled 517 to 333 computations (35.6% saved)

regimes15.0ms (0.1%)

Counts
7 → 3
Calls
Call 1
Inputs
1/2
(/.f64 6 (*.f64 x x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (neg.f64 x)))
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1))
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 1 (/.f64 2 (*.f64 x x))) (*.f64 x x))
Outputs
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))
Calls

1 calls:

14.0ms
x
Results
ErrorSegmentsBranch
13.2b3x
Compiler

Compiled 60 to 35 computations (41.7% saved)

bsearch42.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
0.01328902763120276
6142.921579077491
19.0ms
-5973.2061487670735
-4.103787178337626e-6
Results
38.0ms288×body256valid
Compiler

Compiled 409 to 279 computations (31.8% saved)

regimes13.0ms (0.1%)

Counts
5 → 3
Calls
Call 1
Inputs
1/2
(/.f64 6 (*.f64 x x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (neg.f64 x)))
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1))
Outputs
(/.f64 6 (*.f64 x x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 6 (*.f64 x x))
Calls

1 calls:

12.0ms
x
Results
ErrorSegmentsBranch
13.2b3x
Compiler

Compiled 38 to 25 computations (34.2% saved)

bsearch38.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
0.01328902763120276
6142.921579077491
20.0ms
-5973.2061487670735
-4.103787178337626e-6
Results
34.0ms288×body256valid
Compiler

Compiled 301 to 225 computations (25.2% saved)

regimes10.0ms (0.1%)

Accuracy

Total -48.3b remaining (-359.3%)

Threshold costs -48.3b (-359.3%)

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

1 calls:

9.0ms
x
Results
ErrorSegmentsBranch
13.5b3x
Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch37.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
0.01328902763120276
6142.921579077491
19.0ms
-5973.2061487670735
-4.103787178337626e-6
Results
34.0ms288×body256valid
Compiler

Compiled 193 to 153 computations (20.7% saved)

simplify16.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
073612
1108612
2118612
3122612
4124612
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(if (<=.f64 x -8358680908399641/288230376151711744) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (if (<=.f64 x 1152921504606847/36028797018963968) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -8358680908399641/288230376151711744) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 1152921504606847/36028797018963968) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -8358680908399641/288230376151711744) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 1152921504606847/36028797018963968) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 1 (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))))
(if (<=.f64 x -4278419646001971/1125899906842624) (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) (if (<=.f64 x 8782019273372467/2251799813685248) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))))
(if (<=.f64 x -7/2) (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) (if (<=.f64 x 3884354678607053/1125899906842624) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))))
(if (<=.f64 x -3602879701896397/1125899906842624) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 3602879701896397/1125899906842624) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 6 (*.f64 x x))))
(if (<=.f64 x -7/2) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 3884354678607053/1125899906842624) 1/2 (/.f64 6 (*.f64 x x))))
1/2
Outputs
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(if (<=.f64 x -8358680908399641/288230376151711744) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (if (<=.f64 x 1152921504606847/36028797018963968) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -8358680908399641/288230376151711744) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)) (if (<=.f64 x 1152921504606847/36028797018963968) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/720) -1/24))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -8358680908399641/288230376151711744) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 1152921504606847/36028797018963968) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (or (<=.f64 x -8358680908399641/288230376151711744) (not (<=.f64 x 1152921504606847/36028797018963968))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/720) -1/24))))
(if (<=.f64 x -8358680908399641/288230376151711744) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 1152921504606847/36028797018963968) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(if (or (<=.f64 x -8358680908399641/288230376151711744) (not (<=.f64 x 1152921504606847/36028797018963968))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/720) -1/24))))
(/.f64 1 (*.f64 x (+.f64 (*.f64 1/6 x) (*.f64 2 (/.f64 1 x)))))
(/.f64 1 (*.f64 x (+.f64 (*.f64 x 1/6) (*.f64 (/.f64 1 x) 2))))
(if (<=.f64 x -4278419646001971/1125899906842624) (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) (if (<=.f64 x 8782019273372467/2251799813685248) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/720 (*.f64 x x)) -1/24))) (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))))
(if (or (<=.f64 x -4278419646001971/1125899906842624) (not (<=.f64 x 8782019273372467/2251799813685248))) (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/720) -1/24))))
(if (or (<=.f64 x -4278419646001971/1125899906842624) (not (<=.f64 x 8782019273372467/2251799813685248))) (/.f64 (+.f64 6 (/.f64 -72 (*.f64 x x))) (*.f64 x x)) (+.f64 1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/720) -1/24))))
(if (<=.f64 x -7/2) (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) (if (<=.f64 x 3884354678607053/1125899906842624) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x))))
(if (or (<=.f64 x -7/2) (not (<=.f64 x 3884354678607053/1125899906842624))) (/.f64 (-.f64 6 (/.f64 72 (*.f64 x x))) (*.f64 x x)) (+.f64 1/2 (*.f64 (*.f64 x x) -1/24)))
(if (or (<=.f64 x -7/2) (not (<=.f64 x 3884354678607053/1125899906842624))) (/.f64 (+.f64 6 (/.f64 -72 (*.f64 x x))) (*.f64 x x)) (+.f64 1/2 (*.f64 (*.f64 x x) -1/24)))
(if (<=.f64 x -3602879701896397/1125899906842624) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 3602879701896397/1125899906842624) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 6 (*.f64 x x))))
(if (or (<=.f64 x -3602879701896397/1125899906842624) (not (<=.f64 x 3602879701896397/1125899906842624))) (/.f64 6 (*.f64 x x)) (+.f64 1/2 (*.f64 (*.f64 x x) -1/24)))
(if (<=.f64 x -7/2) (/.f64 6 (*.f64 x x)) (if (<=.f64 x 3884354678607053/1125899906842624) 1/2 (/.f64 6 (*.f64 x x))))
(if (or (<=.f64 x -7/2) (not (<=.f64 x 3884354678607053/1125899906842624))) (/.f64 6 (*.f64 x x)) 1/2)
1/2
Compiler

Compiled 230 to 154 computations (33% saved)

soundness82.0ms (0.7%)

Algorithm
1×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
1×node limit
Compiler

Compiled 74 to 35 computations (52.7% saved)

end93.0ms (0.8%)

Compiler

Compiled 221 to 137 computations (38% saved)

Profiling

Loading profile data...