Details

Time bar (total: 11.2s)

analyze81.0ms (0.7%)

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)

sample2.5s (22.5%)

Results
1.3s2036×body2048valid
418.0ms1147×body1024valid
371.0ms3403×body256valid
326.0ms1553×body512valid
75.0ms117×body4096valid
Bogosity

preprocess35.0ms (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)

simplify41.0ms (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
29.3b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶29.3b
(/.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
✓1.8b
(-.f64 1 (cos.f64 x))
✓12.5b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 20 to 9 computations (55% saved)

series1.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite70.0ms (0.6%)

Algorithm
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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simplify93.0ms (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))
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(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1))
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4))))
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.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)))
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(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x))))
(sqrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (cos.f64 x))) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
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(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.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))

eval56.0ms (0.5%)

Compiler

Compiled 4007 to 2144 computations (46.5% saved)

prune74.0ms (0.7%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New18414198
Fresh000
Picked011
Done000
Total18415199
Error
0b
Counts
199 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
▶28.9b
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
29.0b
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
29.6b
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3) (*.f64 x x))
13.0b
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (/.f64 1 (+.f64 1 (cos.f64 x))))) (*.f64 x x))
▶13.0b
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 x x))
✓29.3b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
▶12.9b
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
29.5b
(/.f64 (expm1.f64 (log.f64 (-.f64 2 (cos.f64 x)))) (*.f64 x x))
29.3b
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
▶33.9b
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
▶29.2b
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
28.8b
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
29.4b
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
29.4b
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
32.9b
1/2
Compiler

Compiled 325 to 232 computations (28.6% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(tan.f64 (/.f64 x 2))
✓0.2b
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓12.4b
(/.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)))

rewrite96.0ms (0.9%)

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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simplify138.0ms (1.2%)

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
✓0.2b
(*.f64 -1/24 (*.f64 x x))
Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite45.0ms (0.4%)

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))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
1.8b
(-.f64 1 (cos.f64 x))
✓13.1b
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
Compiler

Compiled 21 to 13 computations (38.1% saved)

series14.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite56.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify53.0ms (0.5%)

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

Useful iterations: 2 (0.0ms)

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (-.f64 1 (cos.f64 x)))
✓0.2b
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)
✓0.2b
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
1.8b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 31 to 19 computations (38.7% saved)

series4.0ms (0%)

Counts
3 → 28
Calls

9 calls:

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

rewrite171.0ms (1.5%)

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

Useful iterations: 1 (0.0ms)

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

simplify363.0ms (3.2%)

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

Useful iterations: 1 (0.0ms)

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

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(/.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))
✓12.4b
(/.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)

series3.0ms (0%)

Counts
4 → 44
Calls

12 calls:

TimeVariablePointExpression
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
@0
(/.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)))

rewrite115.0ms (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 egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (*.f64 x (+.f64 x (*.f64 x (cos.f64 x))))))))) (#(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 (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 x (+.f64 x (*.f64 x (cos.f64 x))))) (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (*.f64 x x))) (+.f64 -1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 x) 2) x) (/.f64 -1 (*.f64 x (-.f64 -1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(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 (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) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.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 (sin.f64 x) (*.f64 x (+.f64 x (*.f64 x (cos.f64 x))))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.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))))))))

simplify140.0ms (1.2%)

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))))
(-.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)))))
(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))))
(*.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) (+.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 (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 (cos.f64 x))
(-.f64 (exp.f64 (log.f64 (-.f64 2 (cos.f64 x)))) 1)
(-.f64 1 (cos.f64 x))
(-.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) (tan.f64 (/.f64 x 2)))
(*.f64 (sin.f64 x) (/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))))
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(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.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)))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(-.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 (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 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
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(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.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)))
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(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.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 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.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 (cos.f64 x) 3))) (*.f64 (pow.f64 (sin.f64 x) 2) (+.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) (pow.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x)))
(-.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 (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 1 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (sin.f64 x))
(*.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)))
(*.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) 1) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.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))))
(*.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)) (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)))))
(*.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)))))
(*.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))

eval596.0ms (5.3%)

Compiler

Compiled 27265 to 15947 computations (41.5% saved)

prune665.0ms (5.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New133181339
Fresh729
Picked101
Done325
Total1342121354
Error
0b
Counts
1354 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
▶28.8b
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
✓29.3b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
29.3b
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
29.3b
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x)))))
✓33.9b
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
▶29.2b
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
28.8b
(*.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))
▶13.1b
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2)))
▶29.2b
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 -1 x) (/.f64 -1 x)))
▶0.1b
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x)))
32.9b
1/2
Compiler

Compiled 231 to 166 computations (28.1% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 52 to 25 computations (51.9% saved)

series3.0ms (0%)

Counts
4 → 40
Calls

12 calls:

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

rewrite143.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1166×associate-/r/
870×swap-sqr
748×associate-/l/
434×distribute-lft-neg-in
386×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01286
125782
2372782
Stop Event
1×node limit
Counts
4 → 268
Calls
Call 1
Inputs
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))
(/.f64 (sin.f64 x) x)
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x))
(tan.f64 (*.f64 x 1/2))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) 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simplify138.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1372×associate-/l*
1092×associate-*l*
1012×times-frac
966×associate-*r*
776×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059310718
1175410426
Stop Event
1×node limit
Counts
308 → 392
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5))))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
1
(+.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 (*.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 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))))
(*.f64 -1 (/.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)))
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(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) (*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (/.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (/.f64 1 x))))
(*.f64 -1 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.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) 2)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (cbrt.f64 x) (/.f64 x (sin.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 x) (/.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 x) x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 x) x)) (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) (*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (/.f64 1 x)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2)) (*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (/.f64 1 x)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x)) (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 x) x)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) -1) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (cbrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) x) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) 1) (neg.f64 (/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) (sqrt.f64 x)) (neg.f64 (/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) -1) (/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) -1) (neg.f64 (/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) x)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (sqrt.f64 (/.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (+.f64 (*.f64 x x) 0)) x)
(*.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (+.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0))
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 x (/.f64 x (sin.f64 x)))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) x) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 x (/.f64 x (sin.f64 x)))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 x) (/.f64 x (sin.f64 x)))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (cbrt.f64 x) (/.f64 x (sin.f64 x)))))
(*.f64 (/.f64 -1 (/.f64 x (tan.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 -1 (/.f64 x (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))
(*.f64 (/.f64 -1 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))
(*.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) x) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) 1) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 x) x)))
(*.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) -1) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 x (sqrt.f64 (/.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x)) (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x))
(*.f64 (neg.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 2))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 2)) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(*.f64 (neg.f64 (/.f64 1 x)) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))
(*.f64 (neg.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (cbrt.f64 x) (/.f64 x (sin.f64 x)))))
(*.f64 (neg.f64 (/.f64 1 (sqrt.f64 x))) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 x) (/.f64 x (sin.f64 x)))))
(*.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (/.f64 (sin.f64 x) x))
(*.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x))) (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 x) x)))
(*.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 x) x)))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (cbrt.f64 x)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) 1)) (/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) x))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (sqrt.f64 x)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) -1)) (/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) x))
(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)
(pow.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) -1)
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 2))
(log.f64 (exp.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (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 (tan.f64 (*.f64 x 1/2)) 1)
(/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 1 (tan.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 (tan.f64 (*.f64 x 1/2)) -1))
(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
(*.f64 1/2 x)
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/720 (pow.f64 x 5))))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5)))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -1/40320 (pow.f64 x 7) (*.f64 1/720 (pow.f64 x 5)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.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)) x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.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)) x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.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)) x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.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)) x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.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)) x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))))
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(*.f64 (/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) x)) (/.f64 (neg.f64 (tan.f64 (*.f64 1/2 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (cbrt.f64 x))) (/.f64 (neg.f64 (tan.f64 (*.f64 1/2 x))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) (sin.f64 x))) (cbrt.f64 x))))
(/.f64 (neg.f64 (/.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) x)) 2) (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) 1)) (/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (neg.f64 (tan.f64 (*.f64 1/2 x))) x))
(*.f64 (tan.f64 (*.f64 1/2 x)) (neg.f64 (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (sqrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (sqrt.f64 x))) (/.f64 (neg.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 x)))
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 1/2 x))) (/.f64 (sqrt.f64 x) (sin.f64 x))) (*.f64 x (sqrt.f64 x)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))) (/.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) (sin.f64 x))) 2)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (neg.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2) -1)) (/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) x))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 1)
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x) 2)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 3)
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3) 1/3)
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(pow.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))) -1)
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (neg.f64 (tan.f64 (*.f64 1/2 x))) x))
(*.f64 (tan.f64 (*.f64 1/2 x)) (neg.f64 (/.f64 (sin.f64 x) (*.f64 x x))))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 2))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x))) 2))
(log.f64 (exp.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x) (sin.f64 x)) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 1))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (*.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)
(tan.f64 (*.f64 1/2 x))
(*.f64 (tan.f64 (*.f64 x 1/2)) 1)
(tan.f64 (*.f64 1/2 x))
(*.f64 1 (tan.f64 (*.f64 x 1/2)))
(tan.f64 (*.f64 1/2 x))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(tan.f64 (*.f64 1/2 x))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (tan.f64 (*.f64 x 1/2)) 1)
(tan.f64 (*.f64 1/2 x))
(/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 1 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(/.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)))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (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 (/.f64 (tan.f64 (*.f64 x 1/2)) -1))
(/.f64 (neg.f64 (tan.f64 (*.f64 1/2 x))) -1)
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2))
(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 3 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
✓0.1b
(/.f64 (-.f64 1 (cos.f64 x)) x)
1.8b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 23 to 12 computations (47.8% saved)

series1.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite76.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0940
119340
2271540
Stop Event
1×node limit
Counts
2 → 158
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 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x x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1/2) (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))))

simplify101.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1284×associate-/r/
1216×distribute-lft-neg-out
982×distribute-rgt-neg-out
564×associate-*l*
538×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03825846
110284832
244234832
Stop Event
1×node limit
Counts
174 → 208
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5))))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5)))))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x)))
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))
(+.f64 (/.f64 1 x) (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x))
(+.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1)
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))
(*.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (/.f64 -1 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)))
(*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 x))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) (neg.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -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 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(*.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 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) x))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) (neg.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 (/.f64 -1 x) (+.f64 (cos.f64 x) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (cbrt.f64 (-.f64 1 (cos.f64 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 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 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 (*.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 (+.f64 1 (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 (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 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) (sqrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))) (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 (cos.f64 x) x))) (-.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 (/.f64 (cos.f64 x) x))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 3/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) 1/6))
(*.f64 (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1/2) (pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1/2))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) 1/3)
(pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) 1))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(+.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x))))
(+.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1)
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 x) (/.f64 1 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 x) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x))
(*.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (/.f64 1 (sqrt.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)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 1 (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 x (cbrt.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 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 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))
(*.f64 (/.f64 1 (*.f64 x (sqrt.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 (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 1 (cos.f64 x)) x)) 2) x) (cbrt.f64 (/.f64 (-.f64 1 (cos.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 (/.f64 1 x) 1) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 (cos.f64 x) -1))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x 1)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3/2))
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/6))
(*.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1/2) (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1/2))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3)
(pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1)
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1 x)))
(neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x)))
(neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 1))
(neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 -1 x)))
(neg.f64 (*.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))))
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
Outputs
(*.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))
(fma.f64 1/2 x (*.f64 -1/24 (pow.f64 x 3)))
(+.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 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 (*.f64 -1/24 x) x)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 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 1 x) (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1))
(+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 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 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 1 (cos.f64 x)) x))) 1)
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 1 (/.f64 (-.f64 1 (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 (-.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 1 (cos.f64 x)) (neg.f64 (/.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 (cos.f64 x)) 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 1 (cos.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 1 (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 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 (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 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (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 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 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 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 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (cbrt.f64 (/.f64 (-.f64 1 (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 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 1 (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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.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 1 x) (-.f64 1 (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) -1) (/.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 (+.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 (*.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x)) (cbrt.f64 (/.f64 (+.f64 (cos.f64 x) -1) x))) (neg.f64 (cbrt.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 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) (sqrt.f64 (-.f64 1 (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 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(fma.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
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(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (/.f64 1 (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 1 (*.f64 x (sqrt.f64 x))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (sqrt.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)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (*.f64 x (sqrt.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) 1) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 x (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) (+.f64 (cos.f64 x) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x 1)) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3/2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/6))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1/2) (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 (cos.f64 x) -1) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x)) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 -1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (*.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(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))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (/.f64 1 x) x)
1.8b
(-.f64 1 (cos.f64 x))
✓13.1b
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
Compiler

Compiled 27 to 16 computations (40.7% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite82.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1134×associate-/r*
954×*-commutative
948×associate-/l*
946×unswap-sqr
544×swap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01042
121330
2284030
Stop Event
1×node limit
Counts
2 → 177
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 1 x) x)
Outputs
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simplify111.0ms (1%)

Algorithm
1×egg-herbie
Rules
890×associate-/l*
702×associate-*r*
654×associate-/r*
634×associate-*l*
584×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04747441
114226259
267366259
Stop Event
1×node limit
Counts
201 → 257
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 (pow.f64 x -2) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))))
(+.f64 (pow.f64 x -2) (*.f64 1 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(+.f64 (pow.f64 x -2) (*.f64 (/.f64 1 x) (neg.f64 (*.f64 (/.f64 1 x) (cos.f64 x)))))
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) 1))
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (*.f64 (/.f64 1 x) (cos.f64 x))) (/.f64 1 x)))
(+.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) (pow.f64 x -2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) (-.f64 1 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x))
(/.f64 1 (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 1 (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 1 x) (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (/.f64 1 x) (/.f64 (+.f64 x (*.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (pow.f64 x -2) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 1)
(/.f64 (pow.f64 x -1/2) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (pow.f64 x -1/2)))
(/.f64 (pow.f64 x -1/2) (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1/2))))
(/.f64 (pow.f64 x -1/2) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (sqrt.f64 x)))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x -2))))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 1 (cbrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (cbrt.f64 x)))))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (*.f64 x x) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))) 1))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) (/.f64 1 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (neg.f64 x)) (/.f64 -1 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 x (+.f64 x (*.f64 x (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (*.f64 x x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (pow.f64 x -2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) 1))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 x (*.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (/.f64 1 x)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (neg.f64 x)) (/.f64 -1 x)))
(/.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 -1 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 -1 x)))
(/.f64 -1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x)))
(/.f64 (/.f64 -1 x) (/.f64 (neg.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 -1 x) (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (neg.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (/.f64 -1 x) (/.f64 (*.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (neg.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (sqrt.f64 (/.f64 -1 x)) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (sqrt.f64 (neg.f64 x))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (pow.f64 x -2)))))
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 x (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 x (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (/.f64 (*.f64 (*.f64 x x) (+.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 (*.f64 x x) (+.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.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 x (cos.f64 x))))
(/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 x (*.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (/.f64 (neg.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)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (-.f64 1 (cos.f64 x)))) (cbrt.f64 x))
(/.f64 (*.f64 (pow.f64 x -1/2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (*.f64 (pow.f64 x -1/2) (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 (*.f64 x x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (-.f64 1 (*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 2))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (*.f64 (*.f64 x x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (*.f64 (*.f64 x x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (+.f64 1 (pow.f64 (cos.f64 x) 3))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 2))))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 -1 x)) (*.f64 (+.f64 1 (cos.f64 x)) (neg.f64 x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 -1 x)) (*.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (neg.f64 x)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 x x) (neg.f64 (+.f64 1 (cos.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (*.f64 x (*.f64 (+.f64 1 (cos.f64 x)) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 x x) (+.f64 -1 (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 x (*.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (neg.f64 x))))
(/.f64 (pow.f64 (sqrt.f64 x) -1) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (pow.f64 (sqrt.f64 x) -1)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) -1)))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))) (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 x (cbrt.f64 (pow.f64 x -1/2)))) (*.f64 (sqrt.f64 x) (cbrt.f64 x)))
(/.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 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sin.f64 x))) x) (+.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x) 1) (neg.f64 x))
(/.f64 (/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x) -1) x)
(/.f64 (/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) 1) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (-.f64 1 (cos.f64 x)))) 1) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (-.f64 1 (cos.f64 x)))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (-.f64 1 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 -1 x)) (neg.f64 x)) (+.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 -1 x)) (neg.f64 x)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) (neg.f64 x))
(pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 1)
(pow.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3) 1/3)
(neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 x)))
(neg.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (-.f64 1 (cos.f64 x))))
(neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (*.f64 x x))))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (pow.f64 x -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1)
(*.f64 1 (pow.f64 x -2))
(*.f64 (/.f64 1 x) (/.f64 1 x))
(*.f64 (pow.f64 x -2) 1)
(*.f64 (pow.f64 x -1/2) (/.f64 (pow.f64 x -1/2) x))
(*.f64 (/.f64 1 (cbrt.f64 x)) (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2))))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 (cbrt.f64 x)) x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (*.f64 (/.f64 -1 (cbrt.f64 x)) (/.f64 -1 (cbrt.f64 x))))
(*.f64 (/.f64 -1 x) (/.f64 -1 x))
(*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x -1/2) x) (pow.f64 x -1/2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) x) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 -1 (*.f64 x x)) -1)
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) x) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (/.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 x))) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)) (/.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1)) (*.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 x) -1)))
(*.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (/.f64 -1 x))) (*.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (/.f64 -1 x)))) (*.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (/.f64 -1 x))))
(*.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (neg.f64 (cbrt.f64 (pow.f64 x -2)))) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 x -1/2)) (*.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 x -1/2)))
(*.f64 (*.f64 (pow.f64 x -1/2) (pow.f64 (sqrt.f64 x) -1)) (*.f64 (pow.f64 x -1/2) (pow.f64 (sqrt.f64 x) -1)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -2))))
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))) (*.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) (/.f64 1 (cbrt.f64 x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) (/.f64 1 (cbrt.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 (cbrt.f64 (pow.f64 x -2)))) (*.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 (cbrt.f64 (pow.f64 x -2)))))
(pow.f64 x -2)
(pow.f64 (/.f64 1 x) 2)
(pow.f64 (pow.f64 x -2) 1)
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)
(pow.f64 (*.f64 x x) -1)
(neg.f64 (neg.f64 (pow.f64 x -2)))
(neg.f64 (/.f64 -1 (*.f64 x x)))
(neg.f64 (/.f64 (/.f64 -1 x) x))
(neg.f64 (*.f64 (/.f64 -1 (*.f64 x x)) 1))
(neg.f64 (*.f64 1 (/.f64 -1 (*.f64 x x))))
(sqrt.f64 (pow.f64 (pow.f64 x -2) 2))
(log.f64 (exp.f64 (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2))))
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3))
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(exp.f64 (*.f64 (log.f64 x) -2))
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
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(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (pow.f64 x -2))))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))) (*.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (*.f64 (/.f64 -1 (cbrt.f64 x)) (/.f64 -1 (cbrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (pow.f64 (cbrt.f64 x) -2))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) (/.f64 1 (cbrt.f64 x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) (/.f64 1 (cbrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (*.f64 (/.f64 -1 (cbrt.f64 x)) (/.f64 -1 (cbrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (pow.f64 (cbrt.f64 x) -2))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 (cbrt.f64 (pow.f64 x -2)))) (*.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 (cbrt.f64 (pow.f64 x -2)))))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 x -2)
(/.f64 1 (*.f64 x x))
(pow.f64 (/.f64 1 x) 2)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (pow.f64 x -2) 1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(pow.f64 (*.f64 x x) -1)
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(neg.f64 (neg.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(neg.f64 (/.f64 -1 (*.f64 x x)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(neg.f64 (/.f64 (/.f64 -1 x) x))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(neg.f64 (*.f64 (/.f64 -1 (*.f64 x x)) 1))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(neg.f64 (*.f64 1 (/.f64 -1 (*.f64 x x))))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(sqrt.f64 (pow.f64 (pow.f64 x -2) 2))
(sqrt.f64 (pow.f64 x -4))
(log.f64 (exp.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2))))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(exp.f64 (*.f64 (log.f64 x) -2))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
(/.f64 1 (*.f64 x x))
(pow.f64 x -2)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (/.f64 -1 x) (/.f64 -1 x))
1.8b
(-.f64 1 (cos.f64 x))
✓13.1b
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 -1 x) (/.f64 -1 x)))
Compiler

Compiled 32 to 21 computations (34.4% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite76.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
982×*-commutative
794×unswap-sqr
612×associate-/l*
608×associate-/r*
572×swap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01142
123136
2294836
Stop Event
1×node limit
Counts
2 → 141
Calls
Call 1
Inputs
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 -1 x) (/.f64 -1 x)))
(*.f64 (/.f64 -1 x) (/.f64 -1 x))
Outputs
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simplify91.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1692×distribute-lft-in
1654×distribute-rgt-in
666×associate-/l/
590×associate-/l*
588×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03725709
110745097
252255089
Stop Event
1×node limit
Counts
165 → 216
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 (/.f64 1 (*.f64 x x)) (neg.f64 (*.f64 (/.f64 1 (*.f64 x x)) (cos.f64 x))))
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 1 (neg.f64 (*.f64 (/.f64 1 (*.f64 x x)) (cos.f64 x)))))
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (neg.f64 (*.f64 (/.f64 1 (*.f64 x x)) (cos.f64 x))) 1))
(+.f64 (neg.f64 (*.f64 (/.f64 1 (*.f64 x x)) (cos.f64 x))) (/.f64 1 (*.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 x x)))) (-.f64 1 (neg.f64 (*.f64 (/.f64 1 (*.f64 x x)) (cos.f64 x)))))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 1 (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 1 (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 1 x) (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (/.f64 1 x) (/.f64 (+.f64 x (*.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) -1)
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 x (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 x (*.f64 (/.f64 1 x) (cbrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) (/.f64 1 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))) 1))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 x (+.f64 x (*.f64 x (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (*.f64 x x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (/.f64 1 (*.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 x (*.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (/.f64 1 x)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) 1))
(/.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 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))))
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 x (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (/.f64 (*.f64 (*.f64 x x) (+.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 (*.f64 x x) (+.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 x (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -1) (*.f64 x x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sqrt.f64 x))) (/.f64 x (/.f64 1 (sqrt.f64 x))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (/.f64 1 (*.f64 x x)))) (/.f64 x (/.f64 1 (cbrt.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 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 x (*.f64 x (cos.f64 x))))
(/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 x (*.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (*.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 (*.f64 x x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (*.f64 (*.f64 x x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 2))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (*.f64 (*.f64 x x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (+.f64 1 (pow.f64 (cos.f64 x) 3))))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 x x) (+.f64 -1 (neg.f64 (cos.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (*.f64 x (+.f64 x (*.f64 x (cos.f64 x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 x x) (+.f64 -1 (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))
(/.f64 (neg.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 (sin.f64 x) (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))) (sin.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.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 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (/.f64 (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sin.f64 x))) x) (+.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(pow.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 3) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 x x)))) 1)
(/.f64 1 (*.f64 x x))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 1 x) x)
(/.f64 (/.f64 1 (*.f64 x x)) 1)
(/.f64 (/.f64 1 (*.f64 x x)) -1)
(/.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 x (/.f64 1 (sqrt.f64 x))))
(/.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 x (*.f64 -1 (/.f64 1 (sqrt.f64 x)))))
(/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 x (cbrt.f64 (/.f64 1 (*.f64 x x)))))
(/.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 x (cbrt.f64 x)))
(/.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 x (/.f64 1 (cbrt.f64 x))))
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) 4))) (/.f64 x (sqrt.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))))))
(/.f64 (*.f64 -1 (cbrt.f64 (/.f64 1 (*.f64 x x)))) (/.f64 x (/.f64 1 (cbrt.f64 x))))
(/.f64 (*.f64 -1 (/.f64 1 (sqrt.f64 x))) (/.f64 x (/.f64 1 (sqrt.f64 x))))
(/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 1 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 1 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) 1) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (/.f64 1 x) 2)
(pow.f64 (/.f64 1 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 3)
(pow.f64 (*.f64 x x) -1)
(pow.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 3) 1/3)
(neg.f64 (/.f64 1 (*.f64 x x)))
(sqrt.f64 (pow.f64 (/.f64 1 x) 4))
(log.f64 (exp.f64 (/.f64 1 (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x x))))
(exp.f64 (neg.f64 (log.f64 (*.f64 x x))))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x x))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/24 (*.f64 x x))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.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 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(+.f64 (/.f64 1 (*.f64 x x)) (neg.f64 (*.f64 (/.f64 1 (*.f64 x x)) (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 1 (neg.f64 (*.f64 (/.f64 1 (*.f64 x x)) (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (neg.f64 (*.f64 (/.f64 1 (*.f64 x x)) (cos.f64 x))) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (neg.f64 (*.f64 (/.f64 1 (*.f64 x x)) (cos.f64 x))) (/.f64 1 (*.f64 x 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 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 x x)))) (-.f64 1 (neg.f64 (*.f64 (/.f64 1 (*.f64 x x)) (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 1 (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 1 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)))
(/.f64 1 (/.f64 (*.f64 (*.f64 x x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 1 (*.f64 x (*.f64 x (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x (fma.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) x)))
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 1 x) (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 1 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)))
(/.f64 (/.f64 1 x) (/.f64 (+.f64 x (*.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 1 (*.f64 x (*.f64 x (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x (fma.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) x)))
(/.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 (cos.f64 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 (-.f64 1 (cos.f64 x)) (*.f64 x x)) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 x (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))))
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(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.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)) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 x x)) (+.f64 1 (cos.f64 x)))
(/.f64 1 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (sin.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 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(*.f64 (/.f64 1 (*.f64 x (*.f64 x (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x (fma.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) x)))
(/.f64 (/.f64 (*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1) (+.f64 1 (cos.f64 x)))
(/.f64 1 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (sin.f64 x) (sin.f64 x))) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 1 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (/.f64 1 (*.f64 x x)) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 1 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(*.f64 (/.f64 1 (*.f64 x (*.f64 x (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x (fma.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) x)))
(/.f64 (/.f64 (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(*.f64 (/.f64 1 (*.f64 x (*.f64 x (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x (fma.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) x)))
(/.f64 (/.f64 (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(*.f64 (/.f64 1 (*.f64 x (*.f64 x (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x (fma.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) x)))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sin.f64 x))) x) (+.f64 1 (cos.f64 x)))
(/.f64 1 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(*.f64 (/.f64 1 (*.f64 x (*.f64 x (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x (fma.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.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 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2)
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x)) (sqrt.f64 (-.f64 1 (cos.f64 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))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 x x) -1))
(/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))
(/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(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))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 3) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (*.f64 x x) 3)) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 x 6)) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 x x)))) 1)
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 x) x)
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 (*.f64 x x)) 1)
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 (*.f64 x x)) -1)
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 x (/.f64 1 (sqrt.f64 x))))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 x (*.f64 -1 (/.f64 1 (sqrt.f64 x)))))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 x (cbrt.f64 (/.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) x) (cbrt.f64 (/.f64 (/.f64 1 x) x)))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 1 (*.f64 x (cbrt.f64 x))))
(/.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 x (cbrt.f64 x)))
(/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 x (cbrt.f64 x)))
(/.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 x (/.f64 1 (cbrt.f64 x))))
(/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 x (cbrt.f64 x)))
(/.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 x (cbrt.f64 x)))
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) 4))) (/.f64 x (sqrt.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))))))
(*.f64 (/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) 4))) x) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 1 x) x))))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (*.f64 x x)))) (/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 x) 4))) x))
(/.f64 (*.f64 -1 (cbrt.f64 (/.f64 1 (*.f64 x x)))) (/.f64 x (/.f64 1 (cbrt.f64 x))))
(*.f64 (/.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 1 x) x))) x) (/.f64 1 (cbrt.f64 x)))
(/.f64 (neg.f64 (cbrt.f64 (/.f64 1 (*.f64 x x)))) (*.f64 x (cbrt.f64 x)))
(/.f64 (*.f64 -1 (/.f64 1 (sqrt.f64 x))) (/.f64 x (/.f64 1 (sqrt.f64 x))))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 (/.f64 1 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 (/.f64 1 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) 1) (sqrt.f64 x))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x)))
(/.f64 (/.f64 1 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (cbrt.f64 x))))
(/.f64 (/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (*.f64 (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x))))
(/.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 x))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(/.f64 1 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) (*.f64 x (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (/.f64 1 x) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(pow.f64 (/.f64 1 x) 2)
(pow.f64 (/.f64 1 (*.f64 x x)) 1)
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 3)
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(pow.f64 (*.f64 x x) -1)
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(pow.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 3) 1/3)
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(neg.f64 (/.f64 1 (*.f64 x x)))
(/.f64 -1 (*.f64 x x))
(sqrt.f64 (pow.f64 (/.f64 1 x) 4))
(log.f64 (exp.f64 (/.f64 1 (*.f64 x x))))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 3))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x x))))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(exp.f64 (neg.f64 (log.f64 (*.f64 x x))))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x x))))
(/.f64 (/.f64 1 x) x)
(/.f64 1 (*.f64 x x))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(tan.f64 (/.f64 x 2))
✓0.2b
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2)))
✓12.2b
(/.f64 (sin.f64 x) (*.f64 x x))
Compiler

Compiled 32 to 14 computations (56.3% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite95.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1466×associate-/r*
1186×associate-/l*
1122×*-commutative
874×unswap-sqr
668×swap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01150
123650
2313550
Stop Event
1×node limit
Counts
2 → 160
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) (*.f64 x x))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2)))
Outputs
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simplify100.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1542×unswap-sqr
808×associate-/l*
604×distribute-rgt-in
596×distribute-lft-in
586×distribute-frac-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04326798
111606606
245916588
Stop Event
1×node limit
Counts
184 → 233
Calls
Call 1
Inputs
(/.f64 1 x)
(+.f64 (*.f64 -1/6 x) (/.f64 1 x))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (/.f64 1 x)))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 x) (/.f64 1 x))))
(/.f64 (sin.f64 x) (pow.f64 x 2))
(/.f64 (sin.f64 x) (pow.f64 x 2))
(/.f64 (sin.f64 x) (pow.f64 x 2))
(/.f64 (sin.f64 x) (pow.f64 x 2))
(/.f64 (sin.f64 x) (pow.f64 x 2))
(/.f64 (sin.f64 x) (pow.f64 x 2))
(/.f64 (sin.f64 x) (pow.f64 x 2))
(/.f64 (sin.f64 x) (pow.f64 x 2))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)))) 1)
(*.f64 (sin.f64 x) (pow.f64 x -2))
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 1)
(*.f64 1 (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 x -2)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 x -2)))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) 2))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 1 x))
(*.f64 (pow.f64 x -2) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (*.f64 x x)))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 x -2)) (sqrt.f64 (sin.f64 x)))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4))))
(*.f64 (/.f64 -1 (*.f64 x x)) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 x x)) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 x x)) (/.f64 (sqrt.f64 (sin.f64 x)) 1))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (/.f64 (cbrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (*.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 x x)) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x))) (cbrt.f64 (sin.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)))) (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)))) (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) 2))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) 2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x))))
(pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 3) 1/3)
(pow.f64 (/.f64 (*.f64 x x) (sin.f64 x)) -1)
(neg.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x)))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) 1))
(neg.f64 (*.f64 (sin.f64 x) (/.f64 -1 (*.f64 x x))))
(neg.f64 (*.f64 1 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x)))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 2))
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 x x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))))
(-.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 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1)
(/.f64 1 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(/.f64 1 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (sin.f64 x))))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (*.f64 x x) (*.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))))
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (cbrt.f64 (sin.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (*.f64 x x) (*.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x)))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x x))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 (*.f64 x (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) (tan.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (*.f64 (*.f64 x (neg.f64 x)) (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 x 1/2))) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (cos.f64 (*.f64 x 1/2))) 1))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (*.f64 x (neg.f64 x)) (cos.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x))))
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (cos.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 (*.f64 x x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) x)
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 x x) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (sin.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2)))) x)
(/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 x 4)) (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 (*.f64 x x) (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sin.f64 x)))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (/.f64 1 (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 x (neg.f64 x)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))) (*.f64 x (cos.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x)))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) 1) (/.f64 (*.f64 x x) (sin.f64 x)))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 (*.f64 x x) (sin.f64 x)))) (sqrt.f64 (/.f64 (*.f64 x x) (sin.f64 x))))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x))) (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x))))) (cbrt.f64 (/.f64 (*.f64 x x) (sin.f64 x))))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sqrt.f64 (sin.f64 x)))) (/.f64 x (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 x (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 1 (sqrt.f64 (sin.f64 x)))) (/.f64 (*.f64 x x) (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 x (/.f64 (cbrt.f64 (sin.f64 x)) x)))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) 1)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x)))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) (sin.f64 x))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (sin.f64 (*.f64 x 1/2))) 1) (cos.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (sin.f64 (*.f64 x 1/2))) (*.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 1) x)
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (sqrt.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 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.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) (neg.f64 (tan.f64 (*.f64 x 1/2)))) x) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 x 1/2)))) 1) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 x 4))) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 x 1/2)))) (neg.f64 x)) x)
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (*.f64 x (neg.f64 x)))) (sqrt.f64 (*.f64 x (neg.f64 x))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x))))) (cbrt.f64 (*.f64 x (neg.f64 x))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 x 1/2)))) -1) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 x 1/2)))) (neg.f64 (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 x x)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 x 4)) (tan.f64 (*.f64 x 1/2)))) 1) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 x 4)) (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 x 4)) (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 x 4)) (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 x 4)) (tan.f64 (*.f64 x 1/2)))) (*.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 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))) x) (cos.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) x)
(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)
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) (tan.f64 (*.f64 x 1/2))))
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x)))))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) (tan.f64 (*.f64 x 1/2))))
(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 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 3)))
(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)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
Outputs
(/.f64 1 x)
(+.f64 (*.f64 -1/6 x) (/.f64 1 x))
(fma.f64 -1/6 x (/.f64 1 x))
(fma.f64 x -1/6 (/.f64 1 x))
(+.f64 (*.f64 1/120 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (/.f64 1 x)))
(fma.f64 1/120 (pow.f64 x 3) (fma.f64 -1/6 x (/.f64 1 x)))
(fma.f64 1/120 (pow.f64 x 3) (fma.f64 x -1/6 (/.f64 1 x)))
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(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (*.f64 x (cos.f64 (*.f64 x 1/2))))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 x 4)))))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (fabs.f64 (cbrt.f64 x))) (/.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (cbrt.f64 (pow.f64 x 4)))))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 x 4)) (tan.f64 (*.f64 x 1/2)))) 1) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (sin.f64 x) (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 x 4)) (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (sin.f64 x) (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 x 4)) (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (sin.f64 x) (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 x 4)) (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4))) (tan.f64 (*.f64 x 1/2))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (cbrt.f64 (pow.f64 x 4)))))
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 x 4)) (tan.f64 (*.f64 x 1/2)))) (*.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 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (sin.f64 x) (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))) x) (cos.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (*.f64 x (cos.f64 (*.f64 x 1/2))))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))) (cos.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (*.f64 x x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (*.f64 (neg.f64 x) (cos.f64 (*.f64 x 1/2))))))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (neg.f64 x) (*.f64 x (cos.f64 (*.f64 x 1/2))))))
(/.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))) x)
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x (*.f64 x (cos.f64 (*.f64 x 1/2))))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1)
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) x) 2)
(*.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)))))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))) 3)
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/3)
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) (tan.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x)))))
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) (*.f64 x (neg.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 2))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))) 2))
(fabs.f64 (*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2)))))
(fabs.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))
(log.f64 (pow.f64 (exp.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) (tan.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))))))
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3))
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 3)))
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (*.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 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))

eval1.5s (13.8%)

Compiler

Compiled 32976 to 18475 computations (44% saved)

prune539.0ms (4.8%)

Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New170571712
Fresh325
Picked011
Done156
Total1709151724
Error
0b
Counts
1724 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
✓28.8b
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
▶45.9b
(/.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) x)
28.8b
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
✓29.3b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
▶0.3b
(/.f64 (sin.f64 x) (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
▶28.9b
(/.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
▶29.1b
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
✓33.9b
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
✓29.2b
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
46.8b
(*.f64 (/.f64 (/.f64 1 x) x) (*.f64 (*.f64 1/2 x) x))
28.8b
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
✓13.1b
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2)))
✓29.2b
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 -1 x) (/.f64 -1 x)))
▶46.9b
(*.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 (/.f64 -1 x) (/.f64 -1 x)))
32.9b
1/2
Compiler

Compiled 252 to 174 computations (31% saved)

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 37 to 23 computations (37.8% saved)

series5.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite126.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1486×associate-/r/
916×swap-sqr
800×associate-/l/
480×distribute-lft-neg-in
426×distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01173
123973
2334673
Stop Event
1×node limit
Counts
3 → 251
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(/.f64 (tan.f64 (*.f64 x 1/2)) x)
(/.f64 x (/.f64 (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 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.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 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))))) (#(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 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simplify172.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
872×*-commutative
850×associate-*r*
812×associate-*r/
780×associate-/l*
760×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06138839
117898789
272558789
Stop Event
1×node limit
Counts
287 → 334
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
1/2
(+.f64 1/2 (*.f64 1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/240 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (+.f64 (*.f64 17/40320 (pow.f64 x 6)) (*.f64 1/240 (pow.f64 x 4)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(*.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 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.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 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))
(*.f64 (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) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))
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(*.f64 (/.f64 1 x) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (neg.f64 x))))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) 1) (/.f64 (tan.f64 (*.f64 x 1/2)) x))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) (/.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x) (/.f64 (sin.f64 x) (/.f64 1 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))))))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (cbrt.f64 x) x)))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)))
(*.f64 (/.f64 -1 x) (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (tan.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (tan.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (*.f64 x x)) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x))) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)))))
(*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (tan.f64 (*.f64 x 1/2))) (/.f64 (cbrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (neg.f64 x))) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (/.f64 x 1)) (/.f64 (tan.f64 (*.f64 x 1/2)) x))
(*.f64 (/.f64 (sin.f64 x) -1) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x (neg.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(*.f64 (/.f64 1 (/.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) x) (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) 1) (/.f64 (tan.f64 (*.f64 x 1/2)) x))
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(*.f64 (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sqrt.f64 x) (tan.f64 (*.f64 x 1/2))) x))
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) (tan.f64 (*.f64 x 1/2))) x) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (tan.f64 (*.f64 x 1/2))) (*.f64 (/.f64 (cbrt.f64 x) 1) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) (tan.f64 (*.f64 x 1/2))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2)) (cbrt.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 x (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 x))) (cos.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 x -1) (/.f64 (neg.f64 x) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 x (*.f64 (sin.f64 (*.f64 x 1/2)) 1)) (*.f64 (cos.f64 (*.f64 x 1/2)) x))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 x (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 x) x))) (sqrt.f64 x))
(*.f64 (/.f64 1 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2)) x)) (cbrt.f64 x))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))) 2))) (cbrt.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (cbrt.f64 x))
(*.f64 (/.f64 (*.f64 x x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (*.f64 x x) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) -1) (neg.f64 x))
(*.f64 (/.f64 (neg.f64 x) -1) (/.f64 x (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (/.f64 x 1) 1) (/.f64 x (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (/.f64 x 1) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 x (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (/.f64 x 1) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (/.f64 x (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (/.f64 x 1) (neg.f64 (tan.f64 (*.f64 x 1/2)))) (neg.f64 x))
(*.f64 (/.f64 (/.f64 x 1) (sin.f64 (*.f64 x 1/2))) (*.f64 x (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (/.f64 x 1) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 x))) (cos.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (/.f64 x 1) (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 x 1) (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (/.f64 x 1) -1) (/.f64 (neg.f64 x) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (/.f64 x 1) (*.f64 (sin.f64 (*.f64 x 1/2)) 1)) (*.f64 (cos.f64 (*.f64 x 1/2)) x))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 1) (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (sqrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (neg.f64 x)))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2)) 1) (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2)) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 x))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2)) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (neg.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x (/.f64 (neg.f64 x) (tan.f64 (*.f64 x 1/2)))))) (sqrt.f64 (*.f64 x (/.f64 (neg.f64 x) (tan.f64 (*.f64 x 1/2))))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 (neg.f64 x) (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (*.f64 x (/.f64 (neg.f64 x) (tan.f64 (*.f64 x 1/2))))))) (cbrt.f64 (*.f64 x (/.f64 (neg.f64 x) (tan.f64 (*.f64 x 1/2))))))
(*.f64 (neg.f64 (neg.f64 (/.f64 1 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x)))) (/.f64 1 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))) 2))) (cbrt.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))))
(pow.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (/.f64 1 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) -1)
(neg.f64 (*.f64 x (/.f64 (neg.f64 x) (tan.f64 (*.f64 x 1/2)))))
(neg.f64 (/.f64 (*.f64 x (/.f64 (neg.f64 x) (tan.f64 (*.f64 x 1/2)))) 1))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 (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 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x 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 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x 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 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x 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 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x 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 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x 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 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x 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 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x 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 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x))) (cos.f64 (*.f64 1/2 x)))
1/2
(+.f64 1/2 (*.f64 1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 1/24 (*.f64 x x)))
(fma.f64 1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/240 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/24 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/240)))
(+.f64 (fma.f64 1/24 (*.f64 x x) 1/2) (*.f64 (pow.f64 x 4) 1/240))
(+.f64 1/2 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (+.f64 (*.f64 17/40320 (pow.f64 x 6)) (*.f64 1/240 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 1/24 (*.f64 x x) (fma.f64 17/40320 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/240))))
(+.f64 (fma.f64 1/24 (*.f64 x x) 1/2) (fma.f64 (pow.f64 x 6) 17/40320 (*.f64 (pow.f64 x 4) 1/240)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(*.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))
(+.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))))
(+.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 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 x (*.f64 (/.f64 x (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 x (*.f64 (/.f64 x (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 x (*.f64 (/.f64 x (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 x (*.f64 (/.f64 x (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 x (*.f64 (/.f64 x (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 x (*.f64 (/.f64 x (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 x (*.f64 (/.f64 x (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (cos.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x x)))
(*.f64 x (*.f64 (/.f64 x (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (*.f64 x 1/2)) (*.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 (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 (*.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)))
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(*.f64 (cbrt.f64 x) (/.f64 x (*.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)) 2))))
(*.f64 (cbrt.f64 x) (/.f64 x (*.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)) 2) (cbrt.f64 (tan.f64 (*.f64 1/2 x))))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2)) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (neg.f64 x)))
(*.f64 (cbrt.f64 (neg.f64 x)) (/.f64 x (*.f64 (cbrt.f64 (neg.f64 (tan.f64 (*.f64 1/2 x)))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)) 2))))
(*.f64 (cbrt.f64 (neg.f64 x)) (/.f64 x (*.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 1/2 x)) x)) 2) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 1/2 x)))))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x (/.f64 (neg.f64 x) (tan.f64 (*.f64 x 1/2)))))) (sqrt.f64 (*.f64 x (/.f64 (neg.f64 x) (tan.f64 (*.f64 x 1/2))))))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(*.f64 x (/.f64 x (tan.f64 (*.f64 1/2 x))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 (neg.f64 x) (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (*.f64 x (/.f64 (neg.f64 x) (tan.f64 (*.f64 x 1/2))))))) (cbrt.f64 (*.f64 x (/.f64 (neg.f64 x) (tan.f64 (*.f64 x 1/2))))))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(*.f64 x (/.f64 x (tan.f64 (*.f64 1/2 x))))
(*.f64 (neg.f64 (neg.f64 (/.f64 1 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x)))) (/.f64 1 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x)))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(*.f64 x (/.f64 x (tan.f64 (*.f64 1/2 x))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))) 2))) (cbrt.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(*.f64 x (/.f64 x (tan.f64 (*.f64 1/2 x))))
(pow.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))) 1)
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(*.f64 x (/.f64 x (tan.f64 (*.f64 1/2 x))))
(pow.f64 (/.f64 1 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) x)) 2)
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(*.f64 x (/.f64 x (tan.f64 (*.f64 1/2 x))))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))) 3)
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(*.f64 x (/.f64 x (tan.f64 (*.f64 1/2 x))))
(pow.f64 (pow.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(*.f64 x (/.f64 x (tan.f64 (*.f64 1/2 x))))
(pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 x x)) -1)
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(*.f64 x (/.f64 x (tan.f64 (*.f64 1/2 x))))
(neg.f64 (*.f64 x (/.f64 (neg.f64 x) (tan.f64 (*.f64 x 1/2)))))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(*.f64 x (/.f64 x (tan.f64 (*.f64 1/2 x))))
(neg.f64 (/.f64 (*.f64 x (/.f64 (neg.f64 x) (tan.f64 (*.f64 x 1/2)))) 1))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(*.f64 x (/.f64 x (tan.f64 (*.f64 1/2 x))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))) 2))
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x)) 2))
(fabs.f64 (*.f64 x (/.f64 x (tan.f64 (*.f64 1/2 x)))))
(log.f64 (exp.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(*.f64 x (/.f64 x (tan.f64 (*.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))))))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(*.f64 x (/.f64 x (tan.f64 (*.f64 1/2 x))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2))) 3))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(*.f64 x (/.f64 x (tan.f64 (*.f64 1/2 x))))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3)))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(*.f64 x (/.f64 x (tan.f64 (*.f64 1/2 x))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(*.f64 x (/.f64 x (tan.f64 (*.f64 1/2 x))))
(exp.f64 (log.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(*.f64 x (/.f64 x (tan.f64 (*.f64 1/2 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))) 1))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(*.f64 x (/.f64 x (tan.f64 (*.f64 1/2 x))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (tan.f64 (*.f64 x 1/2)))))
(/.f64 x (/.f64 (tan.f64 (*.f64 1/2 x)) x))
(*.f64 x (/.f64 x (tan.f64 (*.f64 1/2 x))))

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓27.7b
(/.f64 (*.f64 (*.f64 1/2 x) x) x)
Compiler

Compiled 27 to 16 computations (40.7% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 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)

rewrite54.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1428×add-sqr-sqrt
1408×*-un-lft-identity
1326×add-cube-cbrt
1306×add-cbrt-cube
1294×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0719
11497
220257
Stop Event
1×node limit
Counts
1 → 48
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 1/2 x) x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 1/2 x)) (/.f64 1 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 x) (*.f64 (sqrt.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/2 x))) 2) (*.f64 (cbrt.f64 (*.f64 x (*.f64 1/2 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 x) 2) (*.f64 (cbrt.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 x (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 1 (neg.f64 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 x (*.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 x (*.f64 1/2 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/2 x) x) 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) (sqrt.f64 x)) (/.f64 x (sqrt.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 x (*.f64 1/2 x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (*.f64 1/2 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/2 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 x (*.f64 1/2 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/2 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 (*.f64 x (*.f64 1/2 x)) (neg.f64 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 x) 1/2))))) (#(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)))))))

simplify52.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1476×associate-/r*
1242×associate-*r/
942×associate-+r+
870×associate-+l+
590×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0121478
1337478
21632472
36117472
Stop Event
1×node limit
Counts
60 → 54
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(-.f64 (+.f64 1 (*.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) (/.f64 1 x)))
(*.f64 (*.f64 1/2 x) 1)
(*.f64 (*.f64 x (*.f64 1/2 x)) (/.f64 1 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 x) (*.f64 (sqrt.f64 x) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/2 x))) 2) (*.f64 (cbrt.f64 (*.f64 x (*.f64 1/2 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 x) 2) (*.f64 (cbrt.f64 x) 1/2))
(*.f64 (/.f64 1 x) (*.f64 x (*.f64 1/2 x)))
(*.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 1 (neg.f64 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 x (*.f64 1/2 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x (*.f64 1/2 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (*.f64 1/2 x) x) 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) (sqrt.f64 x)) (/.f64 x (sqrt.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 x (*.f64 1/2 x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (*.f64 1/2 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/2 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 x (*.f64 1/2 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/2 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 (*.f64 x (*.f64 1/2 x)) (neg.f64 x)))
(sqrt.f64 (*.f64 1/4 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 x) 1/2))
(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)))
Outputs
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(-.f64 (+.f64 1 (*.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) (/.f64 1 x)))
(*.f64 1/2 x)
(*.f64 (*.f64 1/2 x) 1)
(*.f64 1/2 x)
(*.f64 (*.f64 x (*.f64 1/2 x)) (/.f64 1 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 x) (*.f64 (sqrt.f64 x) 1/2))
(*.f64 1/2 x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/2 x))) 2) (*.f64 (cbrt.f64 (*.f64 x (*.f64 1/2 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 x) 2) (*.f64 (cbrt.f64 x) 1/2))
(*.f64 1/2 x)
(*.f64 (/.f64 1 x) (*.f64 x (*.f64 1/2 x)))
(*.f64 1/2 x)
(*.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 1 (neg.f64 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 x (*.f64 1/2 x)) (sqrt.f64 x)))
(*.f64 1/2 x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x (*.f64 1/2 x)) (cbrt.f64 x)))
(*.f64 1/2 x)
(*.f64 (/.f64 (*.f64 1/2 x) x) x)
(*.f64 1/2 x)
(*.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) (sqrt.f64 x)) (/.f64 x (sqrt.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 x (*.f64 1/2 x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (*.f64 1/2 x))) x))
(*.f64 1/2 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/2 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 x (*.f64 1/2 x))) (sqrt.f64 x)))
(*.f64 1/2 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/2 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 x (*.f64 1/2 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 2) (/.f64 (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 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 (*.f64 x (*.f64 1/2 x)) (neg.f64 x)))
(*.f64 1/2 x)
(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 x) 1/2))
(*.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)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (/.f64 -1 x) (/.f64 -1 x))
✓29.4b
(*.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 (/.f64 -1 x) (/.f64 -1 x)))
Compiler

Compiled 35 to 24 computations (31.4% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite57.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1936×add-sqr-sqrt
1916×*-un-lft-identity
1782×add-cube-cbrt
1756×add-cbrt-cube
198×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01031
121425
2267325
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 (/.f64 -1 x) (/.f64 -1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 x)) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 x)) -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 x)) 1) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 x)) 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 -1 x) (*.f64 (sqrt.f64 1/2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) x) (/.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x))))))))

simplify41.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1164×associate-/r*
1148×associate-+l+
802×associate-+r+
744×associate-/r/
594×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05460
114450
262332
3228532
Stop Event
1×node limit
Counts
32 → 23
Calls
Call 1
Inputs
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x)))) 1)
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 x)) x)
(/.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 x)) (*.f64 x -1))
(/.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 x)) -1) x)
(/.f64 (*.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 x)) 1) (*.f64 x -1))
(/.f64 (*.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 x)) 1) (neg.f64 x))
(pow.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x)) 1)
(pow.f64 (*.f64 (/.f64 -1 x) (*.f64 (sqrt.f64 1/2) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) x) (/.f64 x (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x))))
(exp.f64 (log.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x))))
Outputs
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x)))) 1)
1/2
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x))
1/2
(/.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 x)) x)
(/.f64 (*.f64 (/.f64 x 1) -1/2) x)
-1/2
(/.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 x)) (*.f64 x -1))
1/2
(/.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 x)) (neg.f64 x))
1/2
(/.f64 (*.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 x)) -1) x)
1/2
(/.f64 (*.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 x)) 1) (*.f64 x -1))
1/2
(/.f64 (*.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 x)) 1) (neg.f64 x))
1/2
(pow.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x)) 1)
1/2
(pow.f64 (*.f64 (/.f64 -1 x) (*.f64 (sqrt.f64 1/2) x)) 2)
1/2
(pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x))) 3)
1/2
(pow.f64 (pow.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x)) 3) 1/3)
1/2
(sqrt.f64 (pow.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x)) 2))
1/2
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) x) (/.f64 x (*.f64 x x))))
1/2
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x)))))
1/2
(cbrt.f64 (pow.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x)) 3))
1/2
(expm1.f64 (log1p.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x))))
1/2
(exp.f64 (log.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x))))
1/2
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x))) 1))
1/2
(log1p.f64 (expm1.f64 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 x x))))
1/2

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))
0.1b
(/.f64 (-.f64 1 (cos.f64 x)) x)
✓0.2b
(/.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
1.8b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 33 to 18 computations (45.5% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite89.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1134×associate-/r/
1088×*-commutative
690×swap-sqr
660×associate-/l/
514×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01052
122146
2310446
Stop Event
1×node limit
Counts
2 → 193
Calls
Call 1
Inputs
(/.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) -2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))) 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simplify143.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1488×distribute-lft-in
1482×distribute-rgt-in
742×associate-*r/
634×associate-*l/
630×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04707121
114896915
251596915
Stop Event
1×node limit
Counts
217 → 288
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))
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 (/.f64 1 x) (/.f64 1 x)) (*.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1)
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
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(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 x) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
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(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (/.f64 1 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))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) -2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x))
(*.f64 -1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (/.f64 1 x)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.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 x (sqrt.f64 x))) (/.f64 1 (sqrt.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)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x))))
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(*.f64 (/.f64 (/.f64 x 1) (-.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 (/.f64 (cos.f64 x) x) (/.f64 (cos.f64 x) x)))) (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))
(*.f64 (/.f64 (/.f64 x 1) (-.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (/.f64 (cos.f64 x) x) 3))) (+.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 (/.f64 (cos.f64 x) x) (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))))
(*.f64 (/.f64 (/.f64 x 1) (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 (+.f64 (cos.f64 x) -1))) (sqrt.f64 (neg.f64 x)))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) 1) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 x))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) (cbrt.f64 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (neg.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))))) (sqrt.f64 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))) (cbrt.f64 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))))) (cbrt.f64 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))))
(*.f64 (neg.f64 (/.f64 -1 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (sqrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2))) (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 1)
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) -1)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 3) 1/3)
(neg.f64 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(exp.f64 (log.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (*.f64 1/720 (pow.f64 x 4)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
2
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 2)
(fma.f64 1/6 (*.f64 x x) 2)
(+.f64 (*.f64 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))
(fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 4) 1/120 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 (pow.f64 x 4) 1/120)))
(+.f64 (fma.f64 1/6 (*.f64 x x) 2) (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (pow.f64 x 6) 1/3024)))
(+.f64 (fma.f64 1/6 (*.f64 x x) 2) (fma.f64 (pow.f64 x 6) 1/3024 (*.f64 (pow.f64 x 4) 1/120)))
(/.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)))
(+.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (/.f64 1 x)))
(/.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 x (/.f64 x (-.f64 1 (cos.f64 x)))) -2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2)))
(*.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 (cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) -2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (cbrt.f64 (pow.f64 (/.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 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 -1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (/.f64 1 x)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (/.f64 1 (sqrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (/.f64 1 (*.f64 x (sqrt.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (*.f64 x (cbrt.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2)))
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) 2))
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 (cos.f64 x) -1) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (*.f64 x (sqrt.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (sqrt.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) -1) (pow.f64 (sqrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(*.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x (sqrt.f64 x))))
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(*.f64 (/.f64 x (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) x) x))) (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))
(*.f64 (/.f64 x (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) 2) x) x))) (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))
(*.f64 (/.f64 (/.f64 x 1) (-.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (/.f64 (cos.f64 x) x) 3))) (+.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 (/.f64 (cos.f64 x) x) (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))))
(*.f64 (/.f64 x (-.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (/.f64 (cos.f64 x) x) 3))) (fma.f64 (/.f64 1 x) (/.f64 1 x) (*.f64 (/.f64 (cos.f64 x) x) (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)))))
(*.f64 (/.f64 x (-.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (/.f64 (cos.f64 x) x) 3))) (fma.f64 (/.f64 (cos.f64 x) x) (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 (/.f64 1 x) x)))
(/.f64 (*.f64 x (fma.f64 (/.f64 (cos.f64 x) x) (+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 (*.f64 x x)))) (-.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (/.f64 (cos.f64 x) x) 3)))
(*.f64 (/.f64 (/.f64 x 1) (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x))
(/.f64 (pow.f64 x 3) (-.f64 x (*.f64 x (cos.f64 x))))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 x (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 x (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(*.f64 (sqrt.f64 x) (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (sqrt.f64 (+.f64 (cos.f64 x) -1))) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (neg.f64 x)) (/.f64 x (*.f64 (sqrt.f64 (+.f64 (cos.f64 x) -1)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(*.f64 (sqrt.f64 (neg.f64 x)) (/.f64 (/.f64 x (sqrt.f64 (+.f64 (cos.f64 x) -1))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) 1) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) x) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (cbrt.f64 x))
(/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) (cbrt.f64 x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 x) (/.f64 (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) (cbrt.f64 (+.f64 (cos.f64 x) -1))) (cbrt.f64 (neg.f64 x)))
(*.f64 (cbrt.f64 (neg.f64 x)) (/.f64 x (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) -1)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))))
(*.f64 (cbrt.f64 (neg.f64 x)) (/.f64 x (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (cbrt.f64 (+.f64 (cos.f64 x) -1)))))
(*.f64 (cbrt.f64 (neg.f64 x)) (/.f64 (/.f64 x (cbrt.f64 (+.f64 (cos.f64 x) -1))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))))) (sqrt.f64 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))) (cbrt.f64 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))))) (cbrt.f64 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1)))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(*.f64 (neg.f64 (/.f64 -1 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (sqrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2))) (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 1)
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) -1)
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 2)
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))) 3)
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(pow.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 3) 1/3)
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(neg.f64 (*.f64 x (/.f64 x (+.f64 (cos.f64 x) -1))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 2))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) 2))
(fabs.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))))
(fabs.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(log.f64 (exp.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) 3))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3)))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(exp.f64 (log.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))))
(*.f64 x (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x)))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (/.f64 1 x) x)
✓0.3b
(/.f64 (cos.f64 x) (*.f64 x x))
✓18.4b
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
Compiler

Compiled 34 to 14 computations (58.8% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite94.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1136×associate-/r/
816×associate-/l/
548×distribute-rgt-in
512×distribute-lft-neg-in
510×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01152
124440
2370740
Stop Event
1×node limit
Counts
2 → 205
Calls
Call 1
Inputs
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 (cos.f64 x) (*.f64 x x))
Outputs
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pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 x (cos.f64 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 (exp.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (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 exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))))))

simplify110.0ms (1%)

Algorithm
1×egg-herbie
Rules
878×associate-*r*
814×*-commutative
780×associate-*l*
756×associate-/l*
690×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054710783
118379111
Stop Event
1×node limit
Counts
229 → 306
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) 1/2)
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) 1/2)
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
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(+.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (fma.f64 (neg.f64 (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 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) x) (/.f64 1 x))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 -1 (*.f64 x x)))
(*.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (/.f64 (cos.f64 x) 1) (pow.f64 x -2))
(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 x)) (/.f64 (pow.f64 x -1/2) x))
(*.f64 (/.f64 (cos.f64 x) (*.f64 (sqrt.f64 x) x)) (pow.f64 x -1/2))
(*.f64 (/.f64 (cos.f64 x) (*.f64 (cbrt.f64 (*.f64 x x)) x)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (*.f64 x x))) (/.f64 1 (*.f64 (cbrt.f64 x) x)))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 x) x)) (/.f64 (cos.f64 x) (cbrt.f64 (*.f64 x x))))
(*.f64 (/.f64 -1 (*.f64 x 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 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (/.f64 (cbrt.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)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (*.f64 x x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) x) (/.f64 (cbrt.f64 (cos.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 (/.f64 (cos.f64 x) (neg.f64 x)) (/.f64 -1 x))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) 1) (pow.f64 x -2))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (sqrt.f64 x)) (/.f64 (pow.f64 x -1/2) x))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (cbrt.f64 (*.f64 x x))) (/.f64 1 (*.f64 (cbrt.f64 x) x)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (neg.f64 x)) (/.f64 -1 x))
(*.f64 (/.f64 1 (/.f64 (*.f64 x x) (sqrt.f64 (cos.f64 x)))) (sqrt.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 (cos.f64 x) (*.f64 x (sqrt.f64 x))) (pow.f64 x -1/2))
(*.f64 (/.f64 (cos.f64 x) (*.f64 x (cbrt.f64 (*.f64 x x)))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 x x)) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) x) (*.f64 x x)) x)
(*.f64 (/.f64 (/.f64 (cos.f64 x) x) (neg.f64 x)) -1)
(*.f64 (/.f64 (/.f64 (cos.f64 x) x) (*.f64 x (neg.f64 x))) (neg.f64 x))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (*.f64 x (sqrt.f64 x))) (pow.f64 x -1/2))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (*.f64 x (cbrt.f64 (*.f64 x x)))) (/.f64 1 (cbrt.f64 x)))
(pow.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) 1)
(pow.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 3)
(pow.f64 (*.f64 x (/.f64 x (cos.f64 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 (exp.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (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))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 1/720 (pow.f64 x 4) (*.f64 x (*.f64 x -1/24))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/24 (*.f64 x x) 1/2) (fma.f64 1/720 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 6))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 (/.f64 1 x) x)
(-.f64 (/.f64 1 (pow.f64 x 2)) 1/2)
(+.f64 (/.f64 1 (*.f64 x x)) -1/2)
(+.f64 (/.f64 (/.f64 1 x) x) -1/2)
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) 1/2)
(+.f64 (fma.f64 1/24 (*.f64 x x) (/.f64 1 (*.f64 x x))) -1/2)
(+.f64 (fma.f64 1/24 (*.f64 x x) (/.f64 (/.f64 1 x) x)) -1/2)
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 4)) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) 1/2)
(+.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 1/24 (*.f64 x x) (/.f64 1 (*.f64 x x)))) -1/2)
(+.f64 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 1/24 (*.f64 x x) (/.f64 (/.f64 1 x) x))) -1/2)
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(/.f64 (cos.f64 x) (pow.f64 x 2))
(/.f64 (cos.f64 x) (*.f64 x x))
(*.f64 (cos.f64 x) (pow.f64 x -2))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (pow.f64 x -2) (+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (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 (-.f64 1 (cos.f64 x)) (pow.f64 x -2) (*.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 (-.f64 1 (cos.f64 x)) (pow.f64 x -2) (*.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 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(fma.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2) (*.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 (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 (-.f64 1 (cos.f64 x)) (pow.f64 x -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))) (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 (-.f64 1 (cos.f64 x)) (pow.f64 x -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))) (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 (-.f64 1 (cos.f64 x)) (pow.f64 x -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))) (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 (pow.f64 x -2) (neg.f64 (cos.f64 x))) 1 (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(fma.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -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))) (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 (-.f64 1 (cos.f64 x)) (pow.f64 x -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 (*.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 2 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(+.f64 (*.f64 (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 2 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(+.f64 (*.f64 (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)))))
(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 2 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(+.f64 (*.f64 (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 2 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(+.f64 (*.f64 (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 (pow.f64 x -2)) (cos.f64 x) (*.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 2 (*.f64 (cos.f64 x) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2))) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(+.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) (+.f64 (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.f64 (pow.f64 x -2) (cos.f64 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (cos.f64 x) (*.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)))))
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(*.f64 (cos.f64 x) (pow.f64 x -2))
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
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(*.f64 (cos.f64 x) (pow.f64 x -2))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 1))
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(*.f64 (cos.f64 x) (pow.f64 x -2))

eval433.0ms (3.9%)

Compiler

Compiled 26695 to 15595 computations (41.6% saved)

prune320.0ms (2.9%)

Pruning

21 alts after pruning (10 fresh and 11 done)

PrunedKeptTotal
New137561381
Fresh044
Picked011
Done01010
Total1375211396
Error
0b
Counts
1396 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
29.4b
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x))
✓28.8b
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
✓45.9b
(/.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) x)
28.8b
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
✓29.3b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
45.9b
(/.f64 (*.f64 (/.f64 1 x) (*.f64 x (*.f64 1/2 x))) x)
✓0.3b
(/.f64 (sin.f64 x) (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
32.3b
(/.f64 (sin.f64 x) (*.f64 x 2))
✓28.9b
(/.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
45.7b
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (/.f64 1 x) x))
✓29.1b
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
45.6b
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (*.f64 x x)))
✓33.9b
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
✓29.2b
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
46.8b
(*.f64 (/.f64 (/.f64 1 x) x) (*.f64 (*.f64 1/2 x) x))
28.8b
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
✓13.1b
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2)))
29.4b
(*.f64 (/.f64 -1 x) (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (neg.f64 x))))
✓29.2b
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 -1 x) (/.f64 -1 x)))
✓46.9b
(*.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 (/.f64 -1 x) (/.f64 -1 x)))
32.9b
1/2
Compiler

Compiled 230 to 156 computations (32.2% saved)

regimes60.0ms (0.5%)

Counts
36 → 1
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) x)
(*.f64 (/.f64 (/.f64 1 x) x) (*.f64 (*.f64 1/2 x) x))
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (*.f64 x x)))
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (/.f64 1 x) x))
(/.f64 (*.f64 (/.f64 1 x) (*.f64 x (*.f64 1/2 x))) x)
(*.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 (/.f64 -1 x) (/.f64 -1 x)))
(/.f64 (sin.f64 x) (*.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(/.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 -1 x) (/.f64 -1 x)))
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x))
(*.f64 (/.f64 -1 x) (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (neg.f64 x))))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(/.f64 (sin.f64 x) (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x)))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(/.f64 (expm1.f64 (log.f64 (-.f64 2 (cos.f64 x)))) (*.f64 x x))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (/.f64 1 (+.f64 1 (cos.f64 x))))) (*.f64 x x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 x x)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
Outputs
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x)))
Calls

2 calls:

44.0ms
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 394 to 214 computations (45.7% saved)

regimes25.0ms (0.2%)

Counts
28 → 1
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) x)
(*.f64 (/.f64 (/.f64 1 x) x) (*.f64 (*.f64 1/2 x) x))
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (*.f64 x x)))
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (/.f64 1 x) x))
(/.f64 (*.f64 (/.f64 1 x) (*.f64 x (*.f64 1/2 x))) x)
(*.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 (/.f64 -1 x) (/.f64 -1 x)))
(/.f64 (sin.f64 x) (*.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(/.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 -1 x) (/.f64 -1 x)))
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x))
(*.f64 (/.f64 -1 x) (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (neg.f64 x))))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(/.f64 (sin.f64 x) (/.f64 x (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
Outputs
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
Calls

2 calls:

13.0ms
x
5.0ms
(/.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 293 to 164 computations (44% saved)

regimes61.0ms (0.5%)

Counts
25 → 3
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) x)
(*.f64 (/.f64 (/.f64 1 x) x) (*.f64 (*.f64 1/2 x) x))
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (*.f64 x x)))
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (/.f64 1 x) x))
(/.f64 (*.f64 (/.f64 1 x) (*.f64 x (*.f64 1/2 x))) x)
(*.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 (/.f64 -1 x) (/.f64 -1 x)))
(/.f64 (sin.f64 x) (*.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))
(/.f64 1 (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 -1 x) (/.f64 -1 x)))
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (cos.f64 x) (*.f64 x x)))
(/.f64 1 (*.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) x) (*.f64 x x))
(*.f64 (/.f64 -1 x) (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x (neg.f64 x))))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2)))
Outputs
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2)))
Calls

2 calls:

33.0ms
x
8.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.2b3x
0.6b2(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 260 to 147 computations (43.5% saved)

bsearch61.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
2.0ms
8.739858673496964e-8
0.48156037876428054
59.0ms
-370267590.6645632
-2.803166796844109e-5
Results
58.0ms176×body256valid
Compiler

Compiled 225 to 165 computations (26.7% saved)

regimes68.0ms (0.6%)

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

2 calls:

54.0ms
x
9.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.3b3x
16.2b2(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 249 to 142 computations (43% saved)

bsearch64.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
42.0ms
8.739858673496964e-8
0.48156037876428054
22.0ms
-370267590.6645632
-2.803166796844109e-5
Results
35.0ms304×body256valid
Compiler

Compiled 374 to 275 computations (26.5% saved)

regimes25.0ms (0.2%)

Counts
10 → 3
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) x)
(*.f64 (/.f64 (/.f64 1 x) x) (*.f64 (*.f64 1/2 x) x))
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (*.f64 x x)))
(-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (/.f64 1 x) x))
(/.f64 (*.f64 (/.f64 1 x) (*.f64 x (*.f64 1/2 x))) x)
(*.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 (/.f64 -1 x) (/.f64 -1 x)))
(/.f64 (sin.f64 x) (*.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Calls

2 calls:

17.0ms
x
5.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.4b3x
16.4b2(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 100 to 63 computations (37% saved)

bsearch56.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
35.0ms
8.739858673496964e-8
0.48156037876428054
21.0ms
-370267590.6645632
-2.803166796844109e-5
Results
52.0ms304×body256valid
Compiler

Compiled 374 to 275 computations (26.5% saved)

regimes31.0ms (0.3%)

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

1 calls:

29.0ms
x
Results
ErrorSegmentsBranch
16.3b3x
Compiler

Compiled 83 to 53 computations (36.1% saved)

bsearch46.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
25.0ms
8.665212113570407e+73
8.260459986500282e+77
21.0ms
-1.82263850909568e+69
-1.7527058309650603e+58
Results
25.0ms208×body256valid
18.0ms80×body512valid
Compiler

Compiled 301 to 225 computations (25.2% saved)

regimes5.0ms (0%)

Accuracy

Total -14.5b remaining (-43.9%)

Threshold costs -14.5b (-43.9%)

Counts
4 → 1
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) x)
(*.f64 (/.f64 (/.f64 1 x) x) (*.f64 (*.f64 1/2 x) x))
Outputs
1/2
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
32.9b1x
Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify15.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
055359
183359
2103359
3117359
4126359
5130359
6131359
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(if (<=.f64 x -7378697629483821/2305843009213693952) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 944473296573929/9444732965739290427392) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2)))))
(if (<=.f64 x -7378697629483821/2305843009213693952) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 662929865148937/144115188075855872) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (<=.f64 x -7378697629483821/2305843009213693952) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 662929865148937/144115188075855872) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(if (<=.f64 x -799999999999999962244177801105334453530010330822893588243372987908096) (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (*.f64 x x))) (if (<=.f64 x 125000000000000001061702679211212872018608740574845076986874887837849613238272) 1/2 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (*.f64 x x)))))
1/2
Outputs
(neg.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (neg.f64 x)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))
(if (<=.f64 x -7378697629483821/2305843009213693952) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 944473296573929/9444732965739290427392) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (tan.f64 (/.f64 x 2)))))
(if (<=.f64 x -7378697629483821/2305843009213693952) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 662929865148937/144115188075855872) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))
(if (or (<=.f64 x -7378697629483821/2305843009213693952) (not (<=.f64 x 662929865148937/144115188075855872))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))))
(if (<=.f64 x -7378697629483821/2305843009213693952) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 662929865148937/144115188075855872) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(if (or (<=.f64 x -7378697629483821/2305843009213693952) (not (<=.f64 x 662929865148937/144115188075855872))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (+.f64 1/2 (*.f64 -1/24 (*.f64 x x))))
(if (<=.f64 x -799999999999999962244177801105334453530010330822893588243372987908096) (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (*.f64 x x))) (if (<=.f64 x 125000000000000001061702679211212872018608740574845076986874887837849613238272) 1/2 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (*.f64 x x)))))
(if (or (<=.f64 x -799999999999999962244177801105334453530010330822893588243372987908096) (not (<=.f64 x 125000000000000001061702679211212872018608740574845076986874887837849613238272))) (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (*.f64 x x))) 1/2)
(if (or (<=.f64 x -799999999999999962244177801105334453530010330822893588243372987908096) (not (<=.f64 x 125000000000000001061702679211212872018608740574845076986874887837849613238272))) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 (*.f64 x x))) 1/2)
1/2
Compiler

Compiled 135 to 94 computations (30.4% 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)

end88.0ms (0.8%)

Compiler

Compiled 129 to 80 computations (38% saved)

Profiling

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