Details

Time bar (total: 11.4s)

analyze136.0ms (1.2%)

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

Compiled 10 to 7 computations (30% saved)

sample2.7s (23.9%)

Results
1.4s2037×body2048valid
448.0ms1131×body1024valid
434.0ms3445×body256valid
355.0ms1528×body512valid
73.0ms115×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
28.6b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶28.6b
(/.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
✓1.7b
(-.f64 1 (cos.f64 x))
✓14.4b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 20 to 9 computations (55% saved)

series1.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite71.0ms (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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simplify117.0ms (1%)

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

Useful iterations: 2 (0.0ms)

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

eval78.0ms (0.7%)

Compiler

Compiled 4007 to 2144 computations (46.5% saved)

prune35.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1899198
Fresh000
Picked011
Done000
Total18910199
Error
0b
Counts
199 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
▶28.2b
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
28.2b
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
✓28.6b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
▶15.2b
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)))
▶14.7b
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
28.6b
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))
▶34.9b
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
▶28.1b
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
28.6b
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
33.8b
1/2
Compiler

Compiled 213 to 152 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)))
✓14.2b
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
Compiler

Compiled 33 to 18 computations (45.5% saved)

series3.0ms (0%)

Counts
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)))

rewrite90.0ms (0.8%)

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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simplify84.0ms (0.7%)

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))))
(/.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))))
(/.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)))))
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(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2) (pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1/2))
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 1)
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
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(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
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(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3) 1/3)
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) -1)
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
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(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
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(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
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(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
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(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))
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(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) x) 4))
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(fabs.f64 (*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2))))
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(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
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(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2))) 3))
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) (pow.f64 x 6)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 3) (pow.f64 x 6)))
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(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
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(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))))
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))
(*.f64 (tan.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) 1)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 1)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 2)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 3)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 2))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 2))
(fabs.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))) 3))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))) 1))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(-.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 (*.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)))))
(tan.f64 (*.f64 1/2 x))
(*.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 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x)))) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x)))) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))))))
(*.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))))
(tan.f64 (*.f64 1/2 x))
(*.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 (sqrt.f64 (tan.f64 (*.f64 1/2 x)))) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x)))) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))))))
(*.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))))))
(tan.f64 (*.f64 1/2 x))
(*.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 (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x)))) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x)))) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))))))
(*.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))
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(*.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))
(tan.f64 (*.f64 1/2 x))
(/.f64 (tan.f64 (*.f64 x 1/2)) 1)
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(/.f64 1 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(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 (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))))
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(*.f64 1 (/.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)
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(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 1/2 x))) (neg.f64 (cos.f64 (*.f64 1/2 x))))
(*.f64 1 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2))
(fabs.f64 (tan.f64 (*.f64 1/2 x)))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))
(tan.f64 (*.f64 1/2 x))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(tan.f64 (*.f64 1/2 x))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1))
(tan.f64 (*.f64 1/2 x))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))

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))

rewrite71.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

simplify62.0ms (0.5%)

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))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (-.f64 1 (cos.f64 x)) x)
✓0.1b
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
1.7b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 28 to 16 computations (42.9% saved)

series1.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite80.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01040
121840
2297640
Stop Event
1×node limit
Counts
2 → 239
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (*.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (neg.f64 x)) (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (neg.f64 (*.f64 x x)) (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/2) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/2) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/2) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 x (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (cbrt.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (*.f64 x x) (cbrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 x (*.f64 (/.f64 1 x) (cbrt.f64 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 x (/.f64 x (cbrt.f64 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -2) (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (*.f64 x x) (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 x (+.f64 x (*.f64 x (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (*.f64 x x) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x (+.f64 x (*.f64 x (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 x (neg.f64 x)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (neg.f64 (*.f64 x x)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (neg.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 x (neg.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (cos.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (cos.f64 x)) (/.f64 (neg.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (cos.f64 x)) (/.f64 (*.f64 (neg.f64 x) (neg.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (+.f64 -1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 (neg.f64 (*.f64 x x)) (sqrt.f64 (+.f64 -1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)) (/.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 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simplify107.0ms (0.9%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
061510371
118509903
Stop Event
1×node limit
Counts
255 → 357
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5))))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5)))))
(+.f64 (pow.f64 x -2) (*.f64 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x))))
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x)))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 (*.f64 x (neg.f64 x)) (+.f64 -1 (cos.f64 x))))
(/.f64 1 (/.f64 (neg.f64 (*.f64 x x)) (+.f64 -1 (cos.f64 x))))
(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 (neg.f64 x))))
(/.f64 1 (*.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) -1))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (pow.f64 x -1/2) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (pow.f64 x -1/2)))
(/.f64 (pow.f64 x -1/2) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (sqrt.f64 x)))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 x (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (pow.f64 x -1/2)))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 x)))
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)))
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
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(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (/.f64 1 (pow.f64 x 3))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x)))
(+.f64 (/.f64 1 x) (*.f64 1 (neg.f64 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))
(+.f64 (/.f64 1 x) (*.f64 (neg.f64 (/.f64 (cos.f64 x) x)) 1))
(+.f64 (/.f64 1 x) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x)))
(+.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x))
(+.f64 (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))) (/.f64 1 x))
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 x)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (neg.f64 (/.f64 (cos.f64 x) x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (+.f64 1 (/.f64 (cos.f64 x) x)))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1)
(*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (pow.f64 x -1/2) (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1/2)))
(*.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x -2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (/.f64 1 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 x))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x)) (pow.f64 x -1/2))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)) -1)
(*.f64 (/.f64 -1 x) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) 1/3)
(pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1)
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(fma.f64 1 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x)))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (neg.f64 (/.f64 (cos.f64 x) x)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x)) (neg.f64 (/.f64 (cos.f64 x) x)))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 1/2 x)
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/720 (pow.f64 x 5))))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5)))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -1/40320 (pow.f64 x 7) (*.f64 1/720 (pow.f64 x 5)))))
(+.f64 (pow.f64 x -2) (*.f64 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x))))
(+.f64 (pow.f64 x -2) (/.f64 (neg.f64 (/.f64 (cos.f64 x) x)) x))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (/.f64 (cos.f64 x) x)) (/.f64 1 x)))
(+.f64 (pow.f64 x -2) (/.f64 (neg.f64 (/.f64 (cos.f64 x) x)) x))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(+.f64 (pow.f64 x -2) (/.f64 (neg.f64 (/.f64 (cos.f64 x) x)) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 1 (/.f64 (*.f64 x (neg.f64 x)) (+.f64 -1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 1 (/.f64 (neg.f64 (*.f64 x x)) (+.f64 -1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 1 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (neg.f64 (neg.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 1 (*.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 1 (*.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))))
(/.f64 (/.f64 1 x) (*.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 x (neg.f64 x)) -1))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 1 x) (/.f64 x (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (pow.f64 x -1/2) (/.f64 x (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (/.f64 (*.f64 x (sqrt.f64 x)) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 x -1/2) (*.f64 x (sqrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (pow.f64 x -1/2)))
(*.f64 (/.f64 (pow.f64 x -1/2) (/.f64 x (-.f64 1 (cos.f64 x)))) (pow.f64 x -1/2))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -1)) x)
(/.f64 (pow.f64 x -1/2) (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (sqrt.f64 x)))
(/.f64 (pow.f64 x -1/2) (/.f64 (*.f64 x (sqrt.f64 x)) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (pow.f64 x -1/2) (*.f64 x (sqrt.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 x (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (pow.f64 x -1/2)))
(*.f64 (pow.f64 x -1/2) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x))))))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 x)))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 x (*.f64 (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))) (sqrt.f64 x))))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (sqrt.f64 x))
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (sqrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))))
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (*.f64 x (cbrt.f64 (/.f64 x (-.f64 1 (cos.f64 x)))))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x -2))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 x (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) x) (-.f64 1 (cos.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 x (-.f64 1 (cos.f64 x))) (cbrt.f64 (/.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 x (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) x) (-.f64 1 (cos.f64 x))))
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(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 x)))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (/.f64 1 x) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1))
(*.f64 (/.f64 1 x) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 x) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 x) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(*.f64 (/.f64 (/.f64 1 x) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 x (sin.f64 x))) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x) (/.f64 (-.f64 1 (*.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3)))
(/.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) x) (+.f64 1 (-.f64 (*.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1))) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1))))) (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) -1)) 3)))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 1)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 3)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) 1/3)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(pow.f64 (/.f64 x (-.f64 1 (cos.f64 x))) -1)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) x))))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 x 3)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(fma.f64 1 (/.f64 1 x) (neg.f64 (/.f64 (cos.f64 x) x)))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (neg.f64 (/.f64 (cos.f64 x) x)))
(-.f64 (pow.f64 x -1) (/.f64 (cos.f64 x) x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x)) (neg.f64 (/.f64 (cos.f64 x) x)))
(-.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -2))) (/.f64 (cos.f64 x) x))

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(sqrt.f64 (-.f64 1 (cos.f64 x)))
✓0.1b
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)
✓0.2b
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
1.7b
(-.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
(sqrt.f64 (-.f64 1 (cos.f64 x)))
0.0ms
x
@0
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)

rewrite112.0ms (1%)

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
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (/.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 -1 x) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) x))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(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 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 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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)))))))))

simplify149.0ms (1.3%)

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))
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(*.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))))
(/.f64 (-.f64 1 (cos.f64 x)) (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))
(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 -1/48 (/.f64 (*.f64 x x) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (/.f64 (*.f64 -1/48 (*.f64 x x)) (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) (fma.f64 1/2 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (/.f64 (sqrt.f64 1/2) (pow.f64 x 4))) (*.f64 -1/48 (/.f64 (*.f64 x x) (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 1/2 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (/.f64 (sqrt.f64 1/2) (pow.f64 x 4))) (/.f64 (*.f64 -1/48 (*.f64 x x)) (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 1/2) (fma.f64 1/2 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (/.f64 (sqrt.f64 1/2) (pow.f64 x 4))) (fma.f64 -1/48 (/.f64 (*.f64 x x) (sqrt.f64 1/2)) (*.f64 -1/2 (/.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)))) (/.f64 (sqrt.f64 1/2) (pow.f64 x 6)))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 1/2 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (/.f64 (sqrt.f64 1/2) (pow.f64 x 4))) (fma.f64 -1/48 (/.f64 (*.f64 x x) (sqrt.f64 1/2)) (/.f64 (*.f64 -1/2 (+.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))))) (/.f64 (sqrt.f64 1/2) (pow.f64 x 6))))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 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))))
(fma.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)))))
(fma.f64 1/2 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (/.f64 (sqrt.f64 1/2) (pow.f64 x 5))) (fma.f64 (sqrt.f64 1/2) x (*.f64 -1/48 (/.f64 (pow.f64 x 3) (sqrt.f64 1/2)))))
(fma.f64 1/2 (*.f64 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (pow.f64 x 5)) (fma.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))))))
(fma.f64 -1/2 (/.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)))) (/.f64 (sqrt.f64 1/2) (pow.f64 x 7))) (fma.f64 1/2 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (/.f64 (sqrt.f64 1/2) (pow.f64 x 5))) (fma.f64 (sqrt.f64 1/2) x (*.f64 -1/48 (/.f64 (pow.f64 x 3) (sqrt.f64 1/2))))))
(fma.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)))) (sqrt.f64 1/2)) (pow.f64 x 7)) (fma.f64 1/2 (*.f64 (/.f64 (-.f64 1/720 (pow.f64 (/.f64 -1/48 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (pow.f64 x 5)) (fma.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 (-.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 1 (cos.f64 x)) (pow.f64 (/.f64 1 x) 2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 -1 x) (/.f64 -1 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (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 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) x))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(*.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 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) x))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) x))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.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 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) x))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (cbrt.f64 (pow.f64 (/.f64 (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 (/.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 (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 (-.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 (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 (/.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 (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 1 (cos.f64 x)) (*.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 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) x))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(*.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (cos.f64 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 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) x) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 x (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) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
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(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) x))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 1)
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1/2)
(sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) 2)
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)) 3)
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 3) 1/3)
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (cos.f64 x)))) -1)
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (neg.f64 x)))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) x))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)
(neg.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (neg.f64 x)) 1))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)
(neg.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 -1 x)))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)
(neg.f64 (*.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (neg.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 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)))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 3))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))))) 1)
(sqrt.f64 (-.f64 1 (cos.f64 x)))
(*.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x))))
(sqrt.f64 (-.f64 1 (cos.f64 x)))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1)
(sqrt.f64 (-.f64 1 (cos.f64 x)))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 1 1/2))
(sqrt.f64 (-.f64 1 (cos.f64 x)))
(*.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 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4) (neg.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 1/4))))
(sqrt.f64 (-.f64 1 (cos.f64 x)))
(*.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))) (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 (cbrt.f64 (-.f64 1 (cos.f64 x))) (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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (sqrt.f64 (cbrt.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 (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)))))
(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)))

localize63.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2))
✓0.3b
(pow.f64 (cos.f64 x) 3)
✓1.7b
(+.f64 (cos.f64 x) -1)
✓14.2b
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)))
Compiler

Compiled 99 to 53 computations (46.5% saved)

series8.0ms (0.1%)

Counts
4 → 40
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2))
2.0ms
x
@inf
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)))
2.0ms
x
@-inf
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)))
1.0ms
x
@0
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)))
0.0ms
x
@inf
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2))

rewrite115.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
510×associate-+l+
464×add-sqr-sqrt
446×*-un-lft-identity
442×pow1
434×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020128
1462122
26615122
Stop Event
1×node limit
Counts
4 → 149
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)))
(+.f64 (cos.f64 x) -1)
(pow.f64 (cos.f64 x) 3)
(/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2))
Outputs
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simplify135.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
652×associate-+r+
652×associate-*r*
646×associate-*l*
554×associate-/l*
554×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04229067
111858821
257018801
Stop Event
1×node limit
Counts
189 → 245
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 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1))) (pow.f64 (sin.f64 x) 2)) (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 1) (pow.f64 x 2)))
(/.f64 (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1))) (pow.f64 (sin.f64 x) 2)) (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 1) (pow.f64 x 2)))
(/.f64 (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1))) (pow.f64 (sin.f64 x) 2)) (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 1) (pow.f64 x 2)))
(/.f64 (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1))) (pow.f64 (sin.f64 x) 2)) (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 1) (pow.f64 x 2)))
(/.f64 (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1))) (pow.f64 (sin.f64 x) 2)) (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 1) (pow.f64 x 2)))
(/.f64 (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1))) (pow.f64 (sin.f64 x) 2)) (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 1) (pow.f64 x 2)))
(/.f64 (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1))) (pow.f64 (sin.f64 x) 2)) (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 1) (pow.f64 x 2)))
(/.f64 (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1))) (pow.f64 (sin.f64 x) 2)) (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 1) (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/40320 (pow.f64 x 8)))))
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
1
(+.f64 1 (*.f64 -3/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 x 2)) (*.f64 7/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -61/240 (pow.f64 x 6)) (+.f64 (*.f64 -3/2 (pow.f64 x 2)) (*.f64 7/8 (pow.f64 x 4)))))
(*.f64 2 (pow.f64 x 2))
(+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 -3/2 (pow.f64 x 4)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 -3/2 (pow.f64 x 4)) (*.f64 7/8 (pow.f64 x 6))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 -3/2 (pow.f64 x 4)) (+.f64 (*.f64 7/8 (pow.f64 x 6)) (*.f64 -61/240 (pow.f64 x 8)))))
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 1) (pow.f64 x 2))
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 1) (pow.f64 x 2))
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 1) (pow.f64 x 2))
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 1) (pow.f64 x 2))
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 1) (pow.f64 x 2))
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 1) (pow.f64 x 2))
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 1) (pow.f64 x 2))
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 1) (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1))) (*.f64 (hypot.f64 1 (pow.f64 (cos.f64 x) 3/2)) x)) 2))) 1)
(-.f64 (/.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1) (*.f64 x x)))) (/.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1) (*.f64 x x)))))
(*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1)) (/.f64 (pow.f64 x -2) (+.f64 1 (pow.f64 (cos.f64 x) 3)))))
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(*.f64 1 (pow.f64 (cos.f64 x) 3))
(*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))
(*.f64 (pow.f64 (cos.f64 x) 3) 1)
(*.f64 (pow.f64 (cos.f64 x) 3/2) (pow.f64 (cos.f64 x) 3/2))
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))
(*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1) (cos.f64 x))
(*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) 3) (pow.f64 (sqrt.f64 (cos.f64 x)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 3) (cos.f64 x))
(sqrt.f64 (pow.f64 (cos.f64 x) 6))
(log.f64 (exp.f64 (pow.f64 (cos.f64 x) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 x) 3))))
(cbrt.f64 (pow.f64 (cos.f64 x) 9))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 x) 3)))
(exp.f64 (*.f64 3 (log.f64 (cos.f64 x))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 x) 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x)))) 1)
(*.f64 1 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x)))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))
(*.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x)) 1)
(*.f64 (*.f64 (hypot.f64 1 (pow.f64 (cos.f64 x) 3/2)) x) (*.f64 (hypot.f64 1 (pow.f64 (cos.f64 x) 3/2)) x))
(*.f64 (hypot.f64 1 (pow.f64 (cos.f64 x) 3/2)) (*.f64 (hypot.f64 1 (pow.f64 (cos.f64 x) 3/2)) (*.f64 x x)))
(*.f64 (cbrt.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) 2) (pow.f64 x -4))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) 2) (pow.f64 x -4))) (cbrt.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))) 2) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 x x)))
(*.f64 (*.f64 x x) (+.f64 1 (pow.f64 (cos.f64 x) 3)))
(*.f64 (-.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (neg.f64 (pow.f64 x -2))))
(*.f64 (/.f64 1 (/.f64 1 x)) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 x)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -4))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (cbrt.f64 (pow.f64 x -2))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (cos.f64 x) 3/2)) 1) (/.f64 (hypot.f64 1 (pow.f64 (cos.f64 x) 3/2)) (pow.f64 x -2)))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (cos.f64 x) 3/2)) (cbrt.f64 (pow.f64 x -4))) (/.f64 (hypot.f64 1 (pow.f64 (cos.f64 x) 3/2)) (cbrt.f64 (pow.f64 x -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (pow.f64 x -2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))) 2) (/.f64 1 x)) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))) 2) (cbrt.f64 (pow.f64 x -4))) (cbrt.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))))
(pow.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x)) 1)
(pow.f64 (*.f64 (hypot.f64 1 (pow.f64 (cos.f64 x) 3/2)) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x)) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 x -2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) -1)
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (neg.f64 (pow.f64 x -2))))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) 2) (pow.f64 x -4)))
(log.f64 (pow.f64 (exp.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) 3) (pow.f64 (pow.f64 x -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 (cos.f64 x) 3)) (log.f64 (*.f64 x x))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 (cos.f64 x) 3)) (log.f64 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.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 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 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1))) (pow.f64 (sin.f64 x) 2)) (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 1) (pow.f64 x 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1) (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))))
(*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 x -2) (+.f64 1 (pow.f64 (cos.f64 x) 3)))))
(/.f64 (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1))) (pow.f64 (sin.f64 x) 2)) (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 1) (pow.f64 x 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1) (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))))
(*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 x -2) (+.f64 1 (pow.f64 (cos.f64 x) 3)))))
(/.f64 (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1))) (pow.f64 (sin.f64 x) 2)) (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 1) (pow.f64 x 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1) (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))))
(*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 x -2) (+.f64 1 (pow.f64 (cos.f64 x) 3)))))
(/.f64 (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1))) (pow.f64 (sin.f64 x) 2)) (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 1) (pow.f64 x 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1) (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))))
(*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 x -2) (+.f64 1 (pow.f64 (cos.f64 x) 3)))))
(/.f64 (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1))) (pow.f64 (sin.f64 x) 2)) (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 1) (pow.f64 x 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1) (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))))
(*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 x -2) (+.f64 1 (pow.f64 (cos.f64 x) 3)))))
(/.f64 (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1))) (pow.f64 (sin.f64 x) 2)) (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 1) (pow.f64 x 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1) (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))))
(*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 x -2) (+.f64 1 (pow.f64 (cos.f64 x) 3)))))
(/.f64 (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1))) (pow.f64 (sin.f64 x) 2)) (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 1) (pow.f64 x 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1) (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))))
(*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 x -2) (+.f64 1 (pow.f64 (cos.f64 x) 3)))))
(/.f64 (*.f64 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1))) (pow.f64 (sin.f64 x) 2)) (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 1) (pow.f64 x 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1) (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))))
(*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 x -2) (+.f64 1 (pow.f64 (cos.f64 x) 3)))))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 1/24 (pow.f64 x 4) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 (pow.f64 x 4) 1/24 (*.f64 x (*.f64 x -1/2)))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6))))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 6) -1/720)))
(fma.f64 (pow.f64 x 4) 1/24 (fma.f64 (pow.f64 x 6) -1/720 (*.f64 x (*.f64 x -1/2))))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/40320 (pow.f64 x 8)))))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/720 (pow.f64 x 6) (*.f64 1/40320 (pow.f64 x 8)))))
(fma.f64 (pow.f64 x 4) 1/24 (fma.f64 -1/2 (*.f64 x x) (fma.f64 (pow.f64 x 6) -1/720 (*.f64 1/40320 (pow.f64 x 8)))))
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
(-.f64 (cos.f64 x) 1)
(+.f64 (cos.f64 x) -1)
1
(+.f64 1 (*.f64 -3/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -3/2 (*.f64 x x)))
(fma.f64 -3/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 x 2)) (*.f64 7/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -3/2 (*.f64 x x) (*.f64 (pow.f64 x 4) 7/8)))
(+.f64 1 (fma.f64 (pow.f64 x 4) 7/8 (*.f64 -3/2 (*.f64 x x))))
(+.f64 1 (+.f64 (*.f64 -61/240 (pow.f64 x 6)) (+.f64 (*.f64 -3/2 (pow.f64 x 2)) (*.f64 7/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -61/240 (pow.f64 x 6) (fma.f64 -3/2 (*.f64 x x) (*.f64 (pow.f64 x 4) 7/8))))
(+.f64 1 (fma.f64 (pow.f64 x 6) -61/240 (fma.f64 (pow.f64 x 4) 7/8 (*.f64 -3/2 (*.f64 x x)))))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (*.f64 x x))
(*.f64 x (+.f64 x x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 -3/2 (pow.f64 x 4)))
(fma.f64 2 (*.f64 x x) (*.f64 (pow.f64 x 4) -3/2))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 -3/2 (pow.f64 x 4)) (*.f64 7/8 (pow.f64 x 6))))
(fma.f64 2 (*.f64 x x) (fma.f64 -3/2 (pow.f64 x 4) (*.f64 (pow.f64 x 6) 7/8)))
(fma.f64 2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -3/2 (*.f64 (pow.f64 x 6) 7/8)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 -3/2 (pow.f64 x 4)) (+.f64 (*.f64 7/8 (pow.f64 x 6)) (*.f64 -61/240 (pow.f64 x 8)))))
(fma.f64 2 (*.f64 x x) (fma.f64 -3/2 (pow.f64 x 4) (fma.f64 7/8 (pow.f64 x 6) (*.f64 (pow.f64 x 8) -61/240))))
(fma.f64 2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -3/2 (fma.f64 (pow.f64 x 6) 7/8 (*.f64 (pow.f64 x 8) -61/240))))
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 1) (pow.f64 x 2))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 1) (pow.f64 x 2))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 1) (pow.f64 x 2))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 1) (pow.f64 x 2))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 1) (pow.f64 x 2))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 1) (pow.f64 x 2))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 1) (pow.f64 x 2))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 1) (pow.f64 x 2))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1))) (*.f64 (hypot.f64 1 (pow.f64 (cos.f64 x) 3/2)) x)) 2))) 1)
(pow.f64 (*.f64 (/.f64 (sin.f64 x) (hypot.f64 1 (pow.f64 (cos.f64 x) 3/2))) (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1)) x)) 2)
(pow.f64 (*.f64 (/.f64 (/.f64 (sin.f64 x) (hypot.f64 1 (pow.f64 (cos.f64 x) 3/2))) x) (sqrt.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1))) 2)
(-.f64 (/.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1) (*.f64 x x)))) (/.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1) (*.f64 x x)))))
(-.f64 (*.f64 (/.f64 1/2 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1) (*.f64 x x))) (*.f64 (/.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1) (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1) (*.f64 x x)) (-.f64 (/.f64 1/2 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 1/2 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (cos.f64 (+.f64 x x))))))
(*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1)) (/.f64 (pow.f64 x -2) (+.f64 1 (pow.f64 (cos.f64 x) 3)))))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1) (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))))
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(*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1) (/.f64 (pow.f64 x -2) (+.f64 1 (pow.f64 (cos.f64 x) 3)))))
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(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (cos.f64 x) 3/2)) (hypot.f64 1 (pow.f64 (cos.f64 x) 3/2))) (pow.f64 x -2))
(*.f64 (hypot.f64 1 (pow.f64 (cos.f64 x) 3/2)) (/.f64 (hypot.f64 1 (pow.f64 (cos.f64 x) 3/2)) (pow.f64 x -2)))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (cos.f64 x) 3/2)) (cbrt.f64 (pow.f64 x -4))) (/.f64 (hypot.f64 1 (pow.f64 (cos.f64 x) 3/2)) (cbrt.f64 (pow.f64 x -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (pow.f64 x -2)))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))) 2) (/.f64 1 x)) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 1 x)))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))) 2) (cbrt.f64 (pow.f64 x -4))) (cbrt.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))) 2) (cbrt.f64 (pow.f64 x -4))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))) 2) (/.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x)))))
(pow.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x)) 1)
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))
(pow.f64 (*.f64 (hypot.f64 1 (pow.f64 (cos.f64 x) 3/2)) x) 2)
(pow.f64 (*.f64 x (hypot.f64 1 (pow.f64 (cos.f64 x) 3/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))) 3)
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x)) 3) 1/3)
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))
(pow.f64 (/.f64 (pow.f64 x -2) (+.f64 1 (pow.f64 (cos.f64 x) 3))) -1)
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (neg.f64 (pow.f64 x -2))))
(*.f64 (-.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (neg.f64 (pow.f64 x -2))))
(/.f64 (-.f64 -1 (pow.f64 (cos.f64 x) 3)) (neg.f64 (pow.f64 x -2)))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) 2) (pow.f64 x -4)))
(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) 2)))
(log.f64 (pow.f64 (exp.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 x x)))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x)))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x)) 3))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) 3) (pow.f64 (pow.f64 x -2) 3)))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 (cos.f64 x) 3)) (log.f64 (*.f64 x x))))
(*.f64 (*.f64 x x) (exp.f64 (log1p.f64 (pow.f64 (cos.f64 x) 3))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 (cos.f64 x) 3)) (log.f64 (*.f64 x x))) 1))
(exp.f64 (+.f64 (log1p.f64 (pow.f64 (cos.f64 x) 3)) (log.f64 (*.f64 x x))))
(*.f64 (*.f64 x x) (exp.f64 (log1p.f64 (pow.f64 (cos.f64 x) 3))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 x x))

eval611.0ms (5.4%)

Compiler

Compiled 31884 to 19124 computations (40% saved)

prune666.0ms (5.9%)

Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New1450131463
Fresh224
Picked101
Done145
Total1454191473
Error
0b
Counts
1473 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
▶28.1b
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
33.1b
(/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x))))
✓28.6b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
▶28.6b
(/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (/.f64 -1 x)))
14.7b
(/.f64 (*.f64 (sin.f64 x) (/.f64 1 (/.f64 1 (tan.f64 (*.f64 x 1/2))))) (*.f64 x x))
✓14.7b
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
28.6b
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
28.7b
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
34.9b
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1))
✓34.9b
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
✓28.1b
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
48.4b
(*.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (/.f64 1 x))
▶0.1b
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
28.6b
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
28.2b
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x))
▶28.2b
(*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x))
28.1b
(*.f64 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) (/.f64 1 x))
▶33.9b
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
33.8b
1/2
Compiler

Compiled 384 to 270 computations (29.7% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 33 to 18 computations (45.5% saved)

series3.0ms (0%)

Counts
4 → 40
Calls

12 calls:

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

rewrite98.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01172
123572
2315772
Stop Event
1×node limit
Counts
4 → 318
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 x 1/2)) x)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(tan.f64 (*.f64 x 1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (tan.f64 (*.f64 x 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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x 1/2))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) x) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 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2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) 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simplify162.0ms (1.4%)

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

Useful iterations: 1 (0.0ms)

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

localize31.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 17 to 12 computations (29.4% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite50.0ms (0.4%)

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

Useful iterations: 1 (0.0ms)

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

simplify43.0ms (0.4%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113
Stop Event
1×saturated
Counts
13 → 1
Calls
Call 1
Inputs
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
Outputs
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2
1/2

localize10.0ms (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)
1.7b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 23 to 12 computations (47.8% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite101.0ms (0.9%)

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
0923
119323
2271523
Stop Event
1×node limit
Counts
1 → 80
Calls
Call 1
Inputs
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (*.f64 (/.f64 (cos.f64 x) (neg.f64 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) (/.f64 1 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 (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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (/.f64 1 x)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))) (/.f64 1 (sqrt.f64 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((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))))))))

simplify99.0ms (0.9%)

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

Useful iterations: 2 (0.0ms)

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 x (/.f64 -1 x))
✓1.7b
(+.f64 -1 (cos.f64 x))
✓14.4b
(/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (/.f64 -1 x)))
Compiler

Compiled 27 to 16 computations (40.7% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite84.0ms (0.7%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01053
122549
2317845
Stop Event
1×node limit
Counts
3 → 227
Calls
Call 1
Inputs
(/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (/.f64 -1 x)))
(+.f64 -1 (cos.f64 x))
(/.f64 x (/.f64 -1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 x x)) (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x)) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 (+.f64 -1 (cos.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify78.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
05377319
115886593
Stop Event
1×node limit
Counts
263 → 311
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/40320 (pow.f64 x 8)))))
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) 1)
(*.f64 -1 (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)) (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x)))
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(+.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x)) (/.f64 1 (*.f64 x x)))
(+.f64 (*.f64 (cos.f64 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (*.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1)
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 -1 (cos.f64 x)) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (sqrt.f64 (/.f64 -1 x)) (*.f64 (sqrt.f64 (/.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))) x))
(*.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 -1 (*.f64 x x))))
(*.f64 (/.f64 -1 (cbrt.f64 x)) (*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (/.f64 (+.f64 -1 (cos.f64 x)) x)))
(*.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 -1 (cos.f64 x))) 2) (cbrt.f64 (*.f64 x (pow.f64 x 3)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (/.f64 -1 (*.f64 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 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 1 x) (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 x x)))
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(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x)) (/.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 (*.f64 x (neg.f64 x)))))
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(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 (*.f64 x (neg.f64 x)))) (/.f64 1 (cbrt.f64 (*.f64 x (pow.f64 x 3)))))
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) -1)
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x (neg.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (neg.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x (neg.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (neg.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (neg.f64 x)) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x (neg.f64 x))) (sqrt.f64 (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x (neg.f64 x))) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) 1))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (cbrt.f64 (*.f64 x (pow.f64 x 3)))) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x)))) (/.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (cbrt.f64 (*.f64 x (pow.f64 x 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) x) (/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (neg.f64 x)))
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(*.f64 (/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (*.f64 x (neg.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (sqrt.f64 (*.f64 x (neg.f64 x)))) (/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (sqrt.f64 (*.f64 x (neg.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (cbrt.f64 (*.f64 x (pow.f64 x 3)))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (neg.f64 x)) (/.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) x))
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) -1) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x (sqrt.f64 (neg.f64 x)))) (sqrt.f64 (/.f64 -1 x)))
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2))) (/.f64 -1 (cbrt.f64 x)))
(*.f64 (/.f64 1 (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (+.f64 -1 (cos.f64 x))))) (sqrt.f64 (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 1 (/.f64 (*.f64 x (neg.f64 x)) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2))) (cbrt.f64 (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (*.f64 x (neg.f64 x))) (cbrt.f64 (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) -1) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) x) -1)
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) 1) (/.f64 -1 x))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (*.f64 1 (sqrt.f64 (neg.f64 x)))) (sqrt.f64 (/.f64 -1 x)))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (/.f64 1 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2))) (/.f64 -1 (cbrt.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) -1) (/.f64 -1 (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 -1 (*.f64 x x))) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 -1 (*.f64 x x))) (-.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 x)))))
(*.f64 (/.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (-.f64 (cos.f64 x) -1) (-.f64 (cos.f64 x) -1))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (-.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 1))))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 (*.f64 x (neg.f64 x)))) 1) (sqrt.f64 (/.f64 -1 (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 (*.f64 x (neg.f64 x)))) (sqrt.f64 x)) (sqrt.f64 (/.f64 -1 x)))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sqrt.f64 (*.f64 x (neg.f64 x)))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (/.f64 1 x)))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 (*.f64 x (pow.f64 x 3)))) 1) (cbrt.f64 (/.f64 -1 (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 (*.f64 x (pow.f64 x 3)))) (cbrt.f64 x)) (/.f64 -1 (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (cbrt.f64 (*.f64 x (pow.f64 x 3)))) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3)
(pow.f64 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))) -1)
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)))
(neg.f64 (*.f64 (/.f64 1 x) (/.f64 (+.f64 -1 (cos.f64 x)) x)))
(neg.f64 (*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x)) 1))
(neg.f64 (*.f64 (/.f64 -1 x) (/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 x))))
(neg.f64 (*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 1 (*.f64 x x))))
(neg.f64 (*.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (*.f64 x x))))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (neg.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 2)
(-.f64 (exp.f64 (log.f64 (+.f64 0 (cos.f64 x)))) 1)
(-.f64 (/.f64 1 (-.f64 -1 (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 -1 (cos.f64 x))))
(-.f64 (+.f64 -1 (exp.f64 (log1p.f64 (cos.f64 x)))) 1)
(*.f64 -1 (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 -1 (cos.f64 x)) 1)
(*.f64 1 (+.f64 -1 (cos.f64 x)))
(*.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (sqrt.f64 (+.f64 -1 (cos.f64 x))))
(*.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))))))
(*.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (cbrt.f64 (+.f64 -1 (cos.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2) (neg.f64 (neg.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))))))
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (-.f64 -1 (cos.f64 x))))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) (neg.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x)))))
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 x)) 1))
(*.f64 (-.f64 (sqrt.f64 (cos.f64 x)) 1) (+.f64 1 (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 1 (-.f64 -1 (cos.f64 x))) (*.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (+.f64 -1 (pow.f64 (cos.f64 x) 3)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 x)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (-.f64 (cos.f64 x) -1) (-.f64 (cos.f64 x) -1))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (cos.f64 x)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (-.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 1))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))))) (sqrt.f64 (+.f64 -1 (cos.f64 x))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2))) (cbrt.f64 (+.f64 -1 (cos.f64 x))))
(/.f64 (+.f64 -1 (cos.f64 x)) 1)
(/.f64 1 (/.f64 1 (+.f64 -1 (cos.f64 x))))
(/.f64 1 (/.f64 (-.f64 -1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 -1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 -1 (cos.f64 x)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) 1))
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 3))) (+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 -1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) 1) (-.f64 (cos.f64 x) -1))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 2) 1) (*.f64 1 (-.f64 (cos.f64 x) -1)))
(/.f64 (-.f64 1 (*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 3))) (*.f64 (-.f64 -1 (cos.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (-.f64 (pow.f64 (cos.f64 x) 3) -1)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (*.f64 (-.f64 -1 (cos.f64 x)) (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (pow.f64 (cos.f64 x) 2))))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 2))) (-.f64 -1 (cos.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (neg.f64 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(pow.f64 (+.f64 -1 (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 -1 (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3) 1/3)
(neg.f64 (-.f64 1 (cos.f64 x)))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) 1)))
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))
(sqrt.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 -1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 -1 (cos.f64 x)) 3))
(expm1.f64 (log.f64 (+.f64 0 (cos.f64 x))))
(exp.f64 (log.f64 (+.f64 -1 (cos.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 -1 (cos.f64 x))))
(fma.f64 1 (cos.f64 x) -1)
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (neg.f64 x)))) 1)
(*.f64 -1 (*.f64 x x))
(*.f64 x (neg.f64 x))
(*.f64 (*.f64 x (neg.f64 x)) 1)
(*.f64 1 (*.f64 x (neg.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (neg.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x))))
(*.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x (neg.f64 x))))))
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 (neg.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (pow.f64 x 3))))
(*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))) (cbrt.f64 (*.f64 x (neg.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 x (neg.f64 x))))))
(*.f64 (neg.f64 x) x)
(*.f64 (*.f64 x x) -1)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 x)) (cbrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) (neg.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) (neg.f64 x)) (/.f64 (sqrt.f64 x) 1))
(*.f64 (*.f64 1 (sqrt.f64 (neg.f64 x))) (*.f64 x (sqrt.f64 (neg.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) (*.f64 x (cbrt.f64 (neg.f64 x))))
(*.f64 (*.f64 x (sqrt.f64 (neg.f64 x))) (*.f64 1 (sqrt.f64 (neg.f64 x))))
(*.f64 (*.f64 x (cbrt.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (*.f64 x (cbrt.f64 (neg.f64 x))) (/.f64 1 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x (neg.f64 x)))) (neg.f64 (sqrt.f64 (*.f64 x (neg.f64 x)))))
(*.f64 (neg.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3)))) (neg.f64 (cbrt.f64 (*.f64 x (neg.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 x) -1) (*.f64 (/.f64 (sqrt.f64 x) 1) x))
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) 1) x) (/.f64 (sqrt.f64 x) -1))
(*.f64 (/.f64 (sqrt.f64 x) 1) (*.f64 (sqrt.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) (/.f64 (sqrt.f64 x) (/.f64 -1 (cbrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 -1 (cbrt.f64 x))) (/.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) -1) (*.f64 (/.f64 (cbrt.f64 x) 1) x))
(*.f64 (*.f64 (/.f64 (cbrt.f64 x) 1) x) (/.f64 (pow.f64 (cbrt.f64 x) 2) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) -1) x))
(*.f64 (*.f64 (/.f64 (cbrt.f64 x) -1) x) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 -1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 -1 x))))
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 -1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) (cbrt.f64 (*.f64 x (neg.f64 x))))
(*.f64 (/.f64 x (/.f64 -1 (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 x (/.f64 -1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 1 (/.f64 (/.f64 -1 x) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 1 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (*.f64 x (pow.f64 x 3))))) (cbrt.f64 (*.f64 x (neg.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 -1 x)) (cbrt.f64 x))
(*.f64 (/.f64 (neg.f64 x) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (neg.f64 x) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 (neg.f64 x))) 1) (sqrt.f64 (neg.f64 x)))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 (neg.f64 x))) (sqrt.f64 -1)) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) -1) (cbrt.f64 x))
(*.f64 (/.f64 (/.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) 1) (cbrt.f64 (neg.f64 x)))
(*.f64 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x (neg.f64 x))))) (sqrt.f64 (*.f64 x (neg.f64 x))))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))))) (cbrt.f64 (*.f64 x (neg.f64 x))))
(pow.f64 (*.f64 x (neg.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (neg.f64 x)) 3) 1/3)
(pow.f64 (/.f64 -1 (*.f64 x x)) -1)
(neg.f64 (*.f64 x x))
(neg.f64 (/.f64 (*.f64 x x) 1))
(sqrt.f64 (*.f64 x (pow.f64 x 3)))
(log.f64 (pow.f64 (exp.f64 (neg.f64 x)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (neg.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (neg.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 -1 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (neg.f64 x))))
(exp.f64 (log.f64 (*.f64 x (neg.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 x (neg.f64 x))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
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(*.f64 (sqrt.f64 x) (/.f64 x (/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 -1))
(*.f64 (/.f64 (/.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) -1) (cbrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) (/.f64 (sqrt.f64 x) (/.f64 -1 (cbrt.f64 x))))
(/.f64 (*.f64 x (cbrt.f64 x)) (neg.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)))
(*.f64 (/.f64 (/.f64 x (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) 1) (cbrt.f64 (neg.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) (*.f64 x (cbrt.f64 (neg.f64 x))))
(/.f64 (*.f64 x (cbrt.f64 (neg.f64 x))) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2))
(*.f64 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 x (neg.f64 x))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x (neg.f64 x))))) (sqrt.f64 (*.f64 x (neg.f64 x))))
(*.f64 x (neg.f64 x))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))))) (cbrt.f64 (*.f64 x (neg.f64 x))))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))) (cbrt.f64 (*.f64 x (neg.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x (neg.f64 x))))
(pow.f64 (*.f64 x (neg.f64 x)) 1)
(*.f64 x (neg.f64 x))
(pow.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) 2)
(*.f64 x (neg.f64 x))
(pow.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) 3)
(*.f64 x (neg.f64 x))
(pow.f64 (pow.f64 (*.f64 x (neg.f64 x)) 3) 1/3)
(*.f64 x (neg.f64 x))
(pow.f64 (/.f64 -1 (*.f64 x x)) -1)
(*.f64 x (neg.f64 x))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(neg.f64 (/.f64 (*.f64 x x) 1))
(*.f64 x (neg.f64 x))
(sqrt.f64 (*.f64 x (pow.f64 x 3)))
(sqrt.f64 (pow.f64 x 4))
(log.f64 (pow.f64 (exp.f64 (neg.f64 x)) x))
(*.f64 x (neg.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (neg.f64 x)))))
(*.f64 x (neg.f64 x))
(cbrt.f64 (pow.f64 (*.f64 x (neg.f64 x)) 3))
(*.f64 x (neg.f64 x))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 -1 x) 3)))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 x 3) -1) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (neg.f64 x))))
(*.f64 x (neg.f64 x))
(exp.f64 (log.f64 (*.f64 x (neg.f64 x))))
(*.f64 x (neg.f64 x))
(log1p.f64 (expm1.f64 (*.f64 x (neg.f64 x))))
(*.f64 x (neg.f64 x))

localize48.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x))
✓0.2b
(*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))
✓1.9b
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))
Compiler

Compiled 44 to 24 computations (45.5% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite166.0ms (1.5%)

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

Useful iterations: 1 (0.0ms)

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

simplify156.0ms (1.4%)

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

Useful iterations: 1 (0.0ms)

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

eval537.0ms (4.7%)

Compiler

Compiled 33863 to 18337 computations (45.8% saved)

prune649.0ms (5.7%)

Pruning

21 alts after pruning (15 fresh and 6 done)

PrunedKeptTotal
New1655101665
Fresh5510
Picked101
Done268
Total1663211684
Error
0b
Counts
1684 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
✓28.1b
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
▶0.1b
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (*.f64 x 1/2))))
▶28.2b
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)
✓28.6b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
▶28.1b
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) x)
✓28.6b
(/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (/.f64 -1 x)))
✓14.7b
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
48.9b
(/.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 x (/.f64 -1 x)))
28.6b
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
28.7b
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x)))
34.9b
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1))
✓34.9b
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
28.7b
(*.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) (/.f64 1 x))
28.6b
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
28.2b
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x))
28.2b
(*.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (/.f64 x (cos.f64 x)))) (/.f64 1 x))
▶44.3b
(*.f64 (+.f64 (/.f64 1 x) (/.f64 -1 x)) (/.f64 1 x))
28.1b
(*.f64 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) (/.f64 1 x))
✓33.9b
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
▶33.1b
(*.f64 1/2 (/.f64 (sin.f64 x) x))
33.8b
1/2
Compiler

Compiled 405 to 284 computations (29.9% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 33 to 18 computations (45.5% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite102.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1312×associate-/r/
1132×associate-/l/
926×swap-sqr
482×distribute-lft-neg-in
430×distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01150
124050
2341650
Stop Event
1×node limit
Counts
2 → 156
Calls
Call 1
Inputs
(/.f64 x (tan.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (*.f64 x 1/2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (neg.f64 (/.f64 -1 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 -1 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (neg.f64 (tan.f64 (*.f64 x 1/2))))) (neg.f64 (sqrt.f64 (/.f64 x (neg.f64 (tan.f64 (*.f64 x 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 x (neg.f64 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 x (neg.f64 (tan.f64 (*.f64 x 1/2)))))) (neg.f64 (cbrt.f64 (/.f64 x (neg.f64 (tan.f64 (*.f64 x 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 x (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (/.f64 x (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2))) (*.f64 x (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (neg.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))) (neg.f64 (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule 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simplify151.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
932×distribute-rgt-in
922×distribute-lft-in
724×distribute-lft-neg-in
660×distribute-lft-neg-out
646×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04205750
111785700
249135700
Stop Event
1×node limit
Counts
180 → 215
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/360 (pow.f64 x 4))))
(+.f64 (*.f64 -1/15120 (pow.f64 x 6)) (+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/360 (pow.f64 x 4)))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))) 1)
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(*.f64 x (neg.f64 (/.f64 -1 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 1)
(*.f64 1 (/.f64 x (tan.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))))
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(*.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2))
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(*.f64 (/.f64 x 1) (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
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(*.f64 (/.f64 (/.f64 x 1) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
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(*.f64 (/.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) 1) x)
(*.f64 (/.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) 1) (/.f64 x 1))
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(pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 1)
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(pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) -1)
(neg.f64 (/.f64 x (neg.f64 (tan.f64 (*.f64 x 1/2)))))
(neg.f64 (/.f64 (/.f64 x (neg.f64 (tan.f64 (*.f64 x 1/2)))) 1))
(sqrt.f64 (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 2))
(log.f64 (exp.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))
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(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))
(*.f64 (sin.f64 x) (*.f64 (/.f64 (/.f64 1 x) x) (tan.f64 (*.f64 x 1/2))))
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(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)))
(*.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) 1) (tan.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) (/.f64 1 x))
(*.f64 (*.f64 1 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2)) (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) x)))
(*.f64 (/.f64 (sin.f64 x) 1) (*.f64 (/.f64 (/.f64 1 x) x) (tan.f64 (*.f64 x 1/2))))
(*.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 (pow.f64 (cbrt.f64 x) 2) x)) (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (neg.f64 x))) (neg.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 -1 x) (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (/.f64 (/.f64 1 x) x) (tan.f64 (*.f64 x 1/2))) (sin.f64 x))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (tan.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.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 (sin.f64 x) (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))) (/.f64 (/.f64 1 x) (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) x) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (tan.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2)) (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) x) (*.f64 (/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 1) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) x) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))) (/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)) (/.f64 (sin.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 x 1)) (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) -1) (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (tan.f64 (*.f64 x 1/2))))) (/.f64 1 x))
(*.f64 (/.f64 1 (/.f64 x (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 x (/.f64 x (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 x (/.f64 x (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (/.f64 x (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) 1) (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 1 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x x)) -1) (neg.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) x) (sin.f64 x))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (neg.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x 1)) (sin.f64 x))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) -1) (/.f64 (tan.f64 (*.f64 x 1/2)) x))
(*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 1) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (sqrt.f64 x)) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2)) 1) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(*.f64 (/.f64 (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 x)) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) x) (neg.f64 (tan.f64 (*.f64 x 1/2))))
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 1)
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) 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 x (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) -1)
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (neg.f64 (tan.f64 (*.f64 x 1/2)))))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x))))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(neg.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (neg.f64 (tan.f64 (*.f64 x 1/2)))) 1))
(neg.f64 (*.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (neg.f64 (tan.f64 (*.f64 x 1/2))))))
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) (neg.f64 x))))
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) (*.f64 x x))) (tan.f64 (*.f64 x 1/2))))
(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 (sin.f64 x) x) 3) (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
Outputs
2
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/6 (*.f64 x x)))
(fma.f64 -1/6 (*.f64 x x) 2)
(+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/360 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/6 (*.f64 x x) (*.f64 -1/360 (pow.f64 x 4))))
(+.f64 (*.f64 -1/15120 (pow.f64 x 6)) (+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/360 (pow.f64 x 4)))))
(fma.f64 -1/15120 (pow.f64 x 6) (+.f64 2 (fma.f64 -1/6 (*.f64 x x) (*.f64 -1/360 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/6 (*.f64 x x) (*.f64 -1/360 (pow.f64 x 4))) (fma.f64 -1/15120 (pow.f64 x 6) 2))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(*.f64 x (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(*.f64 x (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(*.f64 x (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(*.f64 x (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(*.f64 x (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(*.f64 x (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(*.f64 x (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) x) (sin.f64 (*.f64 1/2 x)))
(*.f64 x (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(fma.f64 -1/24 (*.f64 x x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/720)))
(+.f64 1/2 (fma.f64 (pow.f64 x 4) 1/720 (*.f64 x (*.f64 x -1/24))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/720))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 (pow.f64 x 4) 1/720 (*.f64 (pow.f64 x 6) -1/40320))))
(+.f64 1/2 (fma.f64 -1/24 (*.f64 x x) (fma.f64 (pow.f64 x 6) -1/40320 (*.f64 (pow.f64 x 4) 1/720))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x)))
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))))) 1)
(/.f64 x (tan.f64 (*.f64 x 1/2)))
(*.f64 x (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.f64 x (tan.f64 (*.f64 x 1/2)))
(*.f64 x (neg.f64 (/.f64 -1 (tan.f64 (*.f64 x 1/2)))))
(/.f64 x (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 1)
(/.f64 x (tan.f64 (*.f64 x 1/2)))
(*.f64 1 (/.f64 x (tan.f64 (*.f64 x 1/2))))
(/.f64 x (tan.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))
(/.f64 x (tan.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))))
(/.f64 x (tan.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(/.f64 x (tan.f64 (*.f64 x 1/2)))
(*.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2))
(/.f64 x (tan.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 x (tan.f64 (*.f64 x 1/2)))))
(/.f64 x (tan.f64 (*.f64 x 1/2)))
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(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) (sin.f64 x)))
(pow.f64 (/.f64 x (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))) -1)
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) (sin.f64 x)))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (neg.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) (sin.f64 x)))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 x))))
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) (sin.f64 x)))
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) (sin.f64 x)))
(neg.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (neg.f64 (tan.f64 (*.f64 x 1/2)))) 1))
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) (sin.f64 x)))
(neg.f64 (*.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (neg.f64 (tan.f64 (*.f64 x 1/2))))))
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) (sin.f64 x)))
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) (neg.f64 x))))
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) (sin.f64 x)))
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 x (tan.f64 (*.f64 x 1/2)))))
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) (sin.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 2))
(fabs.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))))
(fabs.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) (sin.f64 x))))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) (*.f64 x x))) (tan.f64 (*.f64 x 1/2))))
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) (sin.f64 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 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) (sin.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x))) 3))
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) (sin.f64 x)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (/.f64 x (tan.f64 (*.f64 x 1/2))) 3)))
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) (sin.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) (sin.f64 x)))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) (sin.f64 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 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) (sin.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (*.f64 x x) (sin.f64 x)))

localize11.0ms (0.1%)

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (sin.f64 x) x)
Compiler

Compiled 15 to 6 computations (60% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)
✓0.1b
(/.f64 (cos.f64 x) x)
✓1.9b
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))
Compiler

Compiled 30 to 13 computations (56.7% saved)

series2.0ms (0%)

Counts
3 → 28
Calls

9 calls:

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

rewrite458.0ms (4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01051
122351
2337651
Stop Event
1×node limit
Counts
3 → 280
Calls
Call 1
Inputs
(-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x))
(/.f64 (cos.f64 x) x)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)
Outputs
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(#(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 exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))))))

simplify753.0ms (6.6%)

Algorithm
1×egg-herbie
Rules
1386×associate-*r*
1250×associate-*l*
912×associate-/l*
866×*-commutative
652×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068712660
1208912058
Stop Event
1×node limit
Counts
308 → 430
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5))))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5)))))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(+.f64 (*.f64 -1/2 x) (+.f64 (/.f64 1 x) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/720 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (*.f64 1/24 (pow.f64 x 3)))))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(+.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (+.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x))))
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(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(fma.f64 1 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x)))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 (cos.f64 x) (neg.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 (cos.f64 x) (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 x) x))) 1)
(*.f64 1 (/.f64 (cos.f64 x) x))
(*.f64 (/.f64 1 x) (cos.f64 x))
(*.f64 (cos.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (cos.f64 x) x) 1)
(*.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) (sqrt.f64 (/.f64 (cos.f64 x) x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (cos.f64 x) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (cbrt.f64 (/.f64 (cos.f64 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (/.f64 1 x)))
(*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) -1)
(*.f64 -1 (/.f64 (cos.f64 x) (neg.f64 x)))
(*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (/.f64 1 x)))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (*.f64 (cos.f64 x) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(*.f64 (*.f64 (cos.f64 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (cos.f64 x) 1) (/.f64 1 x))
(*.f64 (/.f64 (cos.f64 x) (sqrt.f64 x)) (pow.f64 x -1/2))
(*.f64 (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cos.f64 x) (cbrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2)) (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))))
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 1) (/.f64 (sqrt.f64 (cos.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (cos.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) x) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) x) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) 1) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (sqrt.f64 x)) (pow.f64 x -1/2))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 (cos.f64 x) 1) (neg.f64 x)) -1)
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) (neg.f64 x)))) (sqrt.f64 (/.f64 (cos.f64 x) (neg.f64 x))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (cos.f64 x) (neg.f64 x))) (cbrt.f64 (/.f64 (cos.f64 x) (neg.f64 x))))) (cbrt.f64 (/.f64 (cos.f64 x) (neg.f64 x))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)))) (sqrt.f64 (/.f64 (cos.f64 x) x)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2))) (cbrt.f64 (/.f64 (cos.f64 x) x)))
(pow.f64 (/.f64 (cos.f64 x) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 3)
(pow.f64 (/.f64 x (cos.f64 x)) -1)
(pow.f64 (pow.f64 (/.f64 (cos.f64 x) x) 3) 1/3)
(neg.f64 (/.f64 (cos.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (cos.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (cos.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 x) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (/.f64 1 x) (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (/.f64 1 x) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (/.f64 1 x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (/.f64 1 x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) 1 (/.f64 (cos.f64 x) x)) (/.f64 1 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x)) (/.f64 1 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x)) (/.f64 1 x)))
(+.f64 (pow.f64 x -2) (neg.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))))
(+.f64 (pow.f64 x -2) (*.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x))))
(+.f64 (pow.f64 x -2) (*.f64 1 (neg.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)))))
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) 1))
(+.f64 (neg.f64 (*.f64 (pow.f64 x -2) (cos.f64 x))) (pow.f64 x -2))
(+.f64 (*.f64 (/.f64 1 x) (/.f64 (cos.f64 x) (neg.f64 x))) (pow.f64 x -2))
(-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) 1)
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(*.f64 (pow.f64 x -1/2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (-.f64 (/.f64 (pow.f64 x -1/2) x) (*.f64 (pow.f64 x -1/2) (/.f64 (cos.f64 x) x))))
(*.f64 (pow.f64 x -1/2) (-.f64 (/.f64 (pow.f64 x -1/2) x) (/.f64 (cos.f64 x) (*.f64 (sqrt.f64 x) x))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (-.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 x)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (cos.f64 x) x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 (pow.f64 x -2) (-.f64 1 (/.f64 (cos.f64 x) 1)))
(*.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 1 (neg.f64 x)))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 x) x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (-.f64 (/.f64 1 (*.f64 (cbrt.f64 x) x)) (/.f64 (cos.f64 x) (*.f64 (cbrt.f64 x) x))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 x)) (pow.f64 x -1/2))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x -1/2) x) (-.f64 (pow.f64 x -1/2) (/.f64 (cos.f64 x) (sqrt.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (neg.f64 x) x)) -1)
(*.f64 (/.f64 1 (neg.f64 x)) (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 x) x)) (-.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) 2) x) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2)))) (/.f64 (-.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (-.f64 (cos.f64 x) 1))))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (+.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (+.f64 x (/.f64 x (cos.f64 x)))) (*.f64 x (/.f64 x (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (+.f64 (neg.f64 x) (*.f64 x (neg.f64 (cos.f64 x))))) (*.f64 x (neg.f64 x)))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (+.f64 (neg.f64 x) (neg.f64 (/.f64 x (cos.f64 x))))) (*.f64 (neg.f64 x) (/.f64 x (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (cos.f64 x)))) (*.f64 (neg.f64 x) x))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (+.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) (*.f64 (neg.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 1 x)) (-.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -2)) (*.f64 (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (pow.f64 (/.f64 (cos.f64 x) x) 2)))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 1 x)) (+.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -2)) (*.f64 (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))) (-.f64 (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))) (pow.f64 x -2)))))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3)
(pow.f64 (*.f64 x (/.f64 x (-.f64 1 (cos.f64 x)))) -1)
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (neg.f64 x) x)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x -3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(fma.f64 -1/24 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/720 (pow.f64 x 5))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 1/720 (pow.f64 x 5))))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (*.f64 1/720 (pow.f64 x 5)))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 -1/40320 (pow.f64 x 7) (*.f64 1/720 (pow.f64 x 5)))))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) x)
(/.f64 (-.f64 1 (cos.f64 x)) x)
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(fma.f64 -1/2 x (/.f64 1 x))
(+.f64 (*.f64 -1/2 x) (+.f64 (/.f64 1 x) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (fma.f64 -1/2 x (/.f64 1 x)) (*.f64 (pow.f64 x 3) 1/24))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/720 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 -1/2 x (fma.f64 -1/720 (pow.f64 x 5) (+.f64 (/.f64 1 x) (*.f64 (pow.f64 x 3) 1/24))))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(+.f64 1/2 (*.f64 x (*.f64 x -1/24)))
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(/.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 (pow.f64 x -2)) (-.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 x)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (cos.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 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 (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 (pow.f64 x -2) (-.f64 1 (/.f64 (cos.f64 x) 1)))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 1 (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (*.f64 (pow.f64 x -1/2) (pow.f64 x -1/2)))
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) x)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)) x) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 x) x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (-.f64 (/.f64 1 (*.f64 (cbrt.f64 x) x)) (/.f64 (cos.f64 x) (*.f64 (cbrt.f64 x) x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (sqrt.f64 x)) (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x -1/2) x) (-.f64 (pow.f64 x -1/2) (/.f64 (cos.f64 x) (sqrt.f64 x))))
(*.f64 (-.f64 (pow.f64 x -1/2) (/.f64 (cos.f64 x) (sqrt.f64 x))) (/.f64 (pow.f64 x -1/2) x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (neg.f64 x) x)) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (neg.f64 x)) (/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 x) x)) (-.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x)))
(*.f64 (/.f64 (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 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (cbrt.f64 x)))
(*.f64 (/.f64 (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 (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 (cos.f64 x)) (*.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 (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 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2)))) (/.f64 (-.f64 1 (cos.f64 x)) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (*.f64 (pow.f64 x -3) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (-.f64 (cos.f64 x) 1))))
(*.f64 (+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))) (*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (pow.f64 x -3)) (/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 (cos.f64 x) 3)))))
(*.f64 (/.f64 (pow.f64 x -2) (/.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 2)))) (*.f64 (/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 (pow.f64 x -2) (*.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (+.f64 (cos.f64 x) -1)))))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (+.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x))
(*.f64 (*.f64 x x) (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 (+.f64 x (*.f64 x (cos.f64 x))) (/.f64 1 x))))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (*.f64 x x))) x) (+.f64 x (*.f64 x (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (+.f64 x (/.f64 x (cos.f64 x)))) (*.f64 x (/.f64 x (cos.f64 x))))
(*.f64 (*.f64 x (/.f64 x (cos.f64 x))) (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 (+.f64 x (/.f64 x (cos.f64 x))) (/.f64 1 x))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 x -2) (/.f64 x (/.f64 (cos.f64 x) x)))) x) (+.f64 x (/.f64 x (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (+.f64 (neg.f64 x) (*.f64 x (neg.f64 (cos.f64 x))))) (*.f64 x (neg.f64 x)))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 (+.f64 (neg.f64 x) (*.f64 x (neg.f64 (cos.f64 x)))) (/.f64 1 x))))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (*.f64 x (neg.f64 x)))) x) (*.f64 (+.f64 1 (cos.f64 x)) (neg.f64 x)))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (+.f64 (neg.f64 x) (neg.f64 (/.f64 x (cos.f64 x))))) (*.f64 (neg.f64 x) (/.f64 x (cos.f64 x))))
(*.f64 (*.f64 (neg.f64 x) (/.f64 x (cos.f64 x))) (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 (-.f64 (neg.f64 x) (/.f64 x (cos.f64 x))) (/.f64 1 x))))
(/.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (*.f64 x (neg.f64 x)))) x) (cos.f64 x)) (-.f64 (neg.f64 x) (/.f64 x (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (cos.f64 x)))) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 (+.f64 (neg.f64 x) (*.f64 x (neg.f64 (cos.f64 x)))) (/.f64 1 x))))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (*.f64 x (neg.f64 x)))) x) (*.f64 (+.f64 1 (cos.f64 x)) (neg.f64 x)))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 1 x)) (+.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x))))) (*.f64 (neg.f64 x) (neg.f64 x)))
(*.f64 (*.f64 x x) (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 (+.f64 x (*.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x))))
(/.f64 (/.f64 (*.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (*.f64 x x))) x) (+.f64 x (*.f64 (cos.f64 x) (*.f64 x 1))))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 1 x)) (-.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -2)) (*.f64 (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x)))))) (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (pow.f64 (/.f64 (cos.f64 x) x) 2)))
(/.f64 (*.f64 (*.f64 (/.f64 1 x) (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (pow.f64 (/.f64 (cos.f64 x) x) 2))) (-.f64 (pow.f64 x -4) (*.f64 (*.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))))
(/.f64 (*.f64 (pow.f64 x -3) (*.f64 (*.f64 (/.f64 1 x) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (pow.f64 (/.f64 (cos.f64 x) x) 2)))) (-.f64 (pow.f64 x -4) (*.f64 (*.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (cos.f64 x))))))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 1 x)) (+.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -2)) (*.f64 (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))) (-.f64 (*.f64 (*.f64 (pow.f64 x -2) (cos.f64 x)) (+.f64 1 (cos.f64 x))) (pow.f64 x -2)))))
(/.f64 (*.f64 (*.f64 (/.f64 1 x) (*.f64 (pow.f64 x -3) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 (pow.f64 x -4) (*.f64 (*.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (fma.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (+.f64 1 (cos.f64 x)) (neg.f64 (pow.f64 x -2)))))) (+.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (*.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) 3)))
(*.f64 (+.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (*.f64 (+.f64 1 (cos.f64 x)) (-.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x)))) (pow.f64 x -2)))))) (*.f64 (/.f64 (pow.f64 x -3) (/.f64 (+.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x)))) 3)) (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (/.f64 1 x)))
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 3)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3) 1/3)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(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 1 (cos.f64 x)) (*.f64 (neg.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))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 3))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x -3)))
(cbrt.f64 (*.f64 (pow.f64 x -3) (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) 1))
(/.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))

localize36.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) x)
0.2b
(*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))
1.9b
(+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x))))
Compiler

Compiled 42 to 22 computations (47.6% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite75.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1452×associate-/r*
1308×associate-/l*
1050×*-commutative
658×associate-/r/
624×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01133
123423
2336223
Stop Event
1×node limit
Counts
1 → 72
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) x)
Outputs
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(#(struct:change #<rule egg-rr> (2) ((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)) (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 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(+.f64 1 (cos.f64 x)) x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) 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 (+.f64 1 (cos.f64 x)) x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) 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 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 (+.f64 1 (cos.f64 x)) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)))))))

simplify63.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1730×distribute-lft-in
1702×distribute-rgt-in
1052×associate-/r/
326×associate-*l/
326×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02313746
17233300
232113218
Stop Event
1×node limit
Counts
84 → 141
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(+.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) (*.f64 (/.f64 1 x) (fma.f64 (/.f64 (cos.f64 x) x) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) (*.f64 (/.f64 1 x) (fma.f64 (cos.f64 x) (/.f64 1 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) (*.f64 (/.f64 1 x) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) (*.f64 (/.f64 1 x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) (*.f64 (/.f64 1 x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x))))
(+.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))
(+.f64 (pow.f64 x -2) (*.f64 (/.f64 1 x) (*.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))))))
(+.f64 (pow.f64 x -2) (*.f64 (/.f64 1 x) (*.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2)))))
(+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (pow.f64 x -2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x))) 1)
(*.f64 1 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x))
(*.f64 (/.f64 1 x) (/.f64 (+.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) 1)
(*.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)) (sqrt.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)))
(*.f64 (pow.f64 x -1/2) (*.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (pow.f64 x -1/2)))
(*.f64 (pow.f64 x -1/2) (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) x))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)) 2))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) 2) (cbrt.f64 (*.f64 x x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)))
(*.f64 (/.f64 1 (cbrt.f64 x)) (*.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (cbrt.f64 (pow.f64 x -2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) 2) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x))))
(*.f64 (neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) (/.f64 -1 x))
(*.f64 (*.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(*.f64 (*.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) x) (sqrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)))
(*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) 2))
(*.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (sqrt.f64 x)) (pow.f64 x -1/2))
(*.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (cbrt.f64 (*.f64 x x))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (cbrt.f64 x)) (/.f64 1 (cbrt.f64 (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (neg.f64 x)) -1)
(*.f64 (/.f64 -1 x) (neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) (cbrt.f64 (*.f64 x x))) (/.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)) (cbrt.f64 (*.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 (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) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) 1) (/.f64 x (+.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (/.f64 (+.f64 1 (cos.f64 x)) x))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3))) (+.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (+.f64 1 (cos.f64 x))) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) 2) x) (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) 2))) (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3))) (-.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -2)) (*.f64 (*.f64 (/.f64 (cos.f64 x) x) (/.f64 (+.f64 1 (cos.f64 x)) x)) (*.f64 (/.f64 (cos.f64 x) x) (/.f64 (+.f64 1 (cos.f64 x)) x))))) (+.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3))) (+.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (*.f64 (/.f64 (cos.f64 x) x) (/.f64 (+.f64 1 (cos.f64 x)) x)) 3))) (+.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -2)) (-.f64 (*.f64 (*.f64 (/.f64 (cos.f64 x) x) (/.f64 (+.f64 1 (cos.f64 x)) x)) (*.f64 (/.f64 (cos.f64 x) x) (/.f64 (+.f64 1 (cos.f64 x)) x))) (*.f64 (pow.f64 x -2) (*.f64 (/.f64 (cos.f64 x) x) (/.f64 (+.f64 1 (cos.f64 x)) x))))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (neg.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2))) (neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (neg.f64 (+.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2) (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (-.f64 (pow.f64 x -3) (pow.f64 (/.f64 (cos.f64 x) x) 3))) (+.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2) (*.f64 (cos.f64 x) (pow.f64 x -2))))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (-.f64 (pow.f64 (/.f64 (cos.f64 x) x) 2) (pow.f64 x -2))) (neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (+.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (+.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x)))) (*.f64 x (neg.f64 x)))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (-.f64 x (*.f64 x (cos.f64 x)))) (*.f64 x x))
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 2)) (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x)))) (*.f64 x (neg.f64 x)))
(pow.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) 3) 1/3)
(pow.f64 (*.f64 x (/.f64 x (+.f64 1 (cos.f64 x)))) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 3) (pow.f64 x -3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)))
(exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) 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 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 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (+.f64 1 (*.f64 -1 (cos.f64 x))) (pow.f64 x 2))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(*.f64 -1 (/.f64 (-.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (+.f64 1 (neg.f64 (cos.f64 x))) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(+.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) (*.f64 (/.f64 1 x) (fma.f64 (/.f64 (cos.f64 x) x) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (/.f64 1 x) (fma.f64 (/.f64 (cos.f64 x) x) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) (/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 (cos.f64 x) x)) x))
(+.f64 (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) (*.f64 2 (*.f64 (cos.f64 x) (pow.f64 x -2))))
(+.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) (*.f64 (/.f64 1 x) (fma.f64 (cos.f64 x) (/.f64 1 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (/.f64 1 x) (fma.f64 (/.f64 (cos.f64 x) x) 1 (/.f64 (cos.f64 x) x))))
(+.f64 (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) (/.f64 (+.f64 (/.f64 (cos.f64 x) x) (/.f64 (cos.f64 x) x)) x))
(+.f64 (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) (*.f64 2 (*.f64 (cos.f64 x) (pow.f64 x -2))))
(+.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) (*.f64 (/.f64 1 x) (fma.f64 (neg.f64 (/.f64 1 x)) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (/.f64 1 x) (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) (/.f64 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)) x))
(+.f64 (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) (*.f64 0 (*.f64 (cos.f64 x) (pow.f64 x -2))))
(+.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) (*.f64 (/.f64 1 x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))) (sqrt.f64 (/.f64 (cos.f64 x) x)) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (/.f64 1 x) (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) (/.f64 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)) x))
(+.f64 (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) (*.f64 0 (*.f64 (cos.f64 x) (pow.f64 x -2))))
(+.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) (*.f64 (/.f64 1 x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2) (/.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) (*.f64 (/.f64 1 x) (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x))))
(+.f64 (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) (/.f64 (fma.f64 (/.f64 -1 x) (cos.f64 x) (/.f64 (cos.f64 x) x)) x))
(+.f64 (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)) (*.f64 0 (*.f64 (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)) (pow.f64 x -2))
(+.f64 (pow.f64 x -2) (*.f64 (/.f64 1 x) (*.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))))))
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2)))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (pow.f64 x -2) (*.f64 (/.f64 1 x) (*.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) 2)))))
(+.f64 (pow.f64 x -2) (*.f64 (/.f64 1 x) (*.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) x))))))
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2)))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)) (pow.f64 x -2))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x))) 1)
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 1 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 1 x) (/.f64 (+.f64 1 (cos.f64 x)) x))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) 1)
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)) (sqrt.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (pow.f64 x -1/2) (*.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (pow.f64 x -1/2)))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (pow.f64 x -1/2) (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (sqrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 x -1/2) (sqrt.f64 x)) (/.f64 (+.f64 1 (cos.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)) (pow.f64 x -2))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)) 2))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) 2) (cbrt.f64 (*.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) (cbrt.f64 (*.f64 x x))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) 2)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))) (cbrt.f64 (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 1 (cbrt.f64 x)) (*.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (cbrt.f64 (pow.f64 x -2))))
(*.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x (cbrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) 2) (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 x)) x))))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (neg.f64 (/.f64 (+.f64 1 (cos.f64 x)) x)) (/.f64 -1 x))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (*.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
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(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)) 3)
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) 3) 1/3)
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (*.f64 x (/.f64 x (+.f64 1 (cos.f64 x)))) -1)
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(neg.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) (neg.f64 x)))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 x x)) 2))
(fabs.f64 (*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x))))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x) 3))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 3) (pow.f64 x -3)))
(cbrt.f64 (*.f64 (pow.f64 x -3) (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) 3) (pow.f64 x 3)))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) x) x)))
(*.f64 (+.f64 1 (cos.f64 x)) (pow.f64 x -2))

eval755.0ms (6.6%)

Compiler

Compiled 28150 to 14372 computations (48.9% saved)

prune463.0ms (4.1%)

Pruning

22 alts after pruning (13 fresh and 9 done)

PrunedKeptTotal
New137841382
Fresh1910
Picked101
Done1910
Total1381221403
Error
0b
Counts
1403 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
28.7b
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
✓28.1b
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
✓0.1b
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (*.f64 x 1/2))))
✓28.2b
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)
44.3b
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 x)) x)
28.1b
(/.f64 (-.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (cos.f64 x))) x)
✓28.6b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
28.2b
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (/.f64 x (cos.f64 x)))) x)
✓28.6b
(/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (/.f64 -1 x)))
✓14.7b
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
48.9b
(/.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 x (/.f64 -1 x)))
28.6b
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
28.7b
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x)))
34.9b
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1))
✓34.9b
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
28.7b
(*.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) (/.f64 1 x))
28.6b
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
28.2b
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x))
28.1b
(*.f64 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) (/.f64 1 x))
✓33.9b
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
✓33.1b
(*.f64 1/2 (/.f64 (sin.f64 x) x))
33.8b
1/2
Compiler

Compiled 240 to 165 computations (31.3% saved)

regimes33.0ms (0.3%)

Counts
37 → 1
Calls
Call 1
Inputs
1/2
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 x)) x)
(*.f64 (+.f64 (/.f64 1 x) (/.f64 -1 x)) (/.f64 1 x))
(*.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (/.f64 1 x))
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1))
(/.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 x (/.f64 -1 x)))
(*.f64 1/2 (/.f64 (sin.f64 x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (/.f64 -1 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)
(*.f64 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) (/.f64 1 x))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (/.f64 x (cos.f64 x)))) x)
(/.f64 (-.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (cos.f64 x))) x)
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) x)
(*.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (/.f64 x (cos.f64 x)))) (/.f64 1 x))
(*.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x)))
(*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x))))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 x) (/.f64 1 (/.f64 1 (tan.f64 (*.f64 x 1/2))))) (*.f64 x x))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)))
Outputs
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
Calls

2 calls:

18.0ms
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 420 to 232 computations (44.8% saved)

regimes85.0ms (0.7%)

Counts
30 → 3
Calls
Call 1
Inputs
1/2
(*.f64 (*.f64 1/2 x) (/.f64 1 x))
(+.f64 1/2 (*.f64 -1/24 (*.f64 x x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 x)) x)
(*.f64 (+.f64 (/.f64 1 x) (/.f64 -1 x)) (/.f64 1 x))
(*.f64 (/.f64 (*.f64 (*.f64 1/2 x) x) x) (/.f64 1 x))
(+.f64 1/2 (-.f64 (+.f64 1 (*.f64 -1/24 (*.f64 x x))) 1))
(/.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 x (/.f64 -1 x)))
(*.f64 1/2 (/.f64 (sin.f64 x) x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 1 (/.f64 (*.f64 x x) (-.f64 1 (cos.f64 x))))
(/.f64 (+.f64 -1 (cos.f64 x)) (/.f64 x (/.f64 -1 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) x)
(*.f64 (*.f64 (/.f64 1 x) (-.f64 1 (cos.f64 x))) (/.f64 1 x))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (/.f64 x (cos.f64 x)))) x)
(/.f64 (-.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (cos.f64 x))) x)
(/.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) x)
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) x)
(*.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (/.f64 x (cos.f64 x)))) (/.f64 1 x))
(*.f64 (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 -1 (*.f64 x x)) (cos.f64 x)))
(*.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (neg.f64 (cos.f64 x)))) (/.f64 1 x))
(/.f64 (-.f64 (neg.f64 x) (*.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x))))
(-.f64 (pow.f64 x -2) (/.f64 (cos.f64 x) (*.f64 x x)))
(pow.f64 (*.f64 (/.f64 x (-.f64 1 (cos.f64 x))) x) -1)
Outputs
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x)
1/2
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Calls

2 calls:

41.0ms
x
8.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.2b3x
14.0b2(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 327 to 181 computations (44.6% saved)

bsearch64.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
44.0ms
1.7204217410328643e-10
6846.85395206305
20.0ms
-1.4948466900309079
-1.0737630583819429e-13
Results
60.0ms320×body256valid
Compiler

Compiled 273 to 209 computations (23.4% saved)

regimes26.0ms (0.2%)

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

2 calls:

17.0ms
x
6.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
ErrorSegmentsBranch
0.3b3x
14.1b2(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 94 to 63 computations (33% saved)

bsearch41.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
1.7204217410328643e-10
6846.85395206305
21.0ms
-1.4948466900309079
-1.0737630583819429e-13
Results
37.0ms320×body256valid
Compiler

Compiled 273 to 209 computations (23.4% saved)

regimes19.0ms (0.2%)

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

1 calls:

16.0ms
x
Results
ErrorSegmentsBranch
16.2b3x
Compiler

Compiled 77 to 53 computations (31.2% saved)

bsearch49.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
26.0ms
4.4149252033407217e+74
4.315105238927641e+77
22.0ms
-2.4073714437148375e+77
-1.2706991770899483e+75
Results
36.0ms160×body512valid
9.0ms80×body256valid
Compiler

Compiled 223 to 174 computations (22% saved)

regimes4.0ms (0%)

Accuracy

Total -1.2b remaining (-3.7%)

Threshold costs -1.2b (-3.7%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
33.8b1x
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify8.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
037199
153199
262199
366199
468199
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(if (<=.f64 x -6456360425798343/36893488147419103232) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 2582544170319337/18446744073709551616) 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(if (<=.f64 x -6456360425798343/36893488147419103232) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 2582544170319337/18446744073709551616) 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(if (<=.f64 x -89999999999999994593783839077550609772263858623824061745290423117327233974272) (/.f64 (-.f64 (/.f64 1 x) (/.f64 1 x)) x) (if (<=.f64 x 95999999999999999375571169978156198824693478023799327266026031430086122536960) 1/2 (/.f64 (-.f64 (/.f64 1 x) (/.f64 1 x)) x)))
1/2
Outputs
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(if (<=.f64 x -6456360425798343/36893488147419103232) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) (if (<=.f64 x 2582544170319337/18446744073709551616) 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(if (<=.f64 x -6456360425798343/36893488147419103232) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) (if (<=.f64 x 2582544170319337/18446744073709551616) 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))))
(if (or (<=.f64 x -6456360425798343/36893488147419103232) (not (<=.f64 x 2582544170319337/18446744073709551616))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) 1/2)
(if (<=.f64 x -89999999999999994593783839077550609772263858623824061745290423117327233974272) (/.f64 (-.f64 (/.f64 1 x) (/.f64 1 x)) x) (if (<=.f64 x 95999999999999999375571169978156198824693478023799327266026031430086122536960) 1/2 (/.f64 (-.f64 (/.f64 1 x) (/.f64 1 x)) x)))
(if (or (<=.f64 x -89999999999999994593783839077550609772263858623824061745290423117327233974272) (not (<=.f64 x 95999999999999999375571169978156198824693478023799327266026031430086122536960))) (/.f64 (-.f64 (/.f64 1 x) (/.f64 1 x)) x) 1/2)
(if (or (<=.f64 x -89999999999999994593783839077550609772263858623824061745290423117327233974272) (not (<=.f64 x 95999999999999999375571169978156198824693478023799327266026031430086122536960))) (/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 x)) x) 1/2)
1/2
Compiler

Compiled 79 to 56 computations (29.1% saved)

soundness86.0ms (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
Compiler

Compiled 74 to 35 computations (52.7% saved)

end45.0ms (0.4%)

Compiler

Compiled 75 to 50 computations (33.3% saved)

Profiling

Loading profile data...