cos2 (problem 3.4.1)

Time bar (total: 10.9s)

analyze2.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 10 to 7 computations (30% saved)

sample1.7s (15.9%)

Results
866.0ms2075×body2048valid
538.0ms4478×body256valid
213.0ms1055×body1024valid
72.0ms546×body512valid
38.0ms102×body4096valid
Bogosity

preprocess228.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
463×distribute-lft-in
376×associate-+r+
343×associate--r-
333×div-sub
332×associate--r+
Problems
107×No Errors
83×(-.f64 1 (cos.f64 x))
66×(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017132
149132
2103128
3301128
4902128
52428128
64690128
76107128
86557128
96619128
106775128
116794128
126794128
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))))
Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (*.f64 x x))
(/.f64 (+.f64 (cos.f64 x) -1) (*.f64 x x))
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) x)
Symmetry

(abs x)

Compiler

Compiled 30 to 16 computations (46.7% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶50.1%
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
▶50.1%
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize63.0ms (0.6%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓75.8%
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
✓75.4%
(-.f64 1 (cos.f64 x))
Compiler

Compiled 21 to 10 computations (52.4% saved)

series2.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite230.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
760×associate-*r/
675×associate-/r*
587×associate-/l*
568×associate-*l/
313×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01143
113143
2184243
Stop Event
1×node limit
Counts
2 → 134
Calls
Call 1
Inputs
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Outputs
(+.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 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (/.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))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 2)))
(*.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 1 (pow.f64 (cos.f64 x) 2)) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.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 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 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(*.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 (+.f64 1 (*.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 (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 1 (+.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) 3)) (/.f64 1 (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))
(/.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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2))) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 1 (neg.f64 (+.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 1 (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (+.f64 1 (cos.f64 x)))
(/.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 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 2))))
(/.f64 (+.f64 1 (pow.f64 (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 (neg.f64 (cos.f64 x)) 3)) (*.f64 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 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 1 (+.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))) (pow.f64 (cos.f64 x) 3))))
(/.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 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (sqrt.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 (pow.f64 (cos.f64 x) 3)))) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)))) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)))))
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)))) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 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) 2)))) (sqrt.f64 (+.f64 1 (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 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2))) 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 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) 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 (-.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 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (+.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 (+.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))) (pow.f64 (cos.f64 x) 3)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2))) (sqrt.f64 (-.f64 1 (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 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (*.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 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (/.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 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.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)
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(+.f64 (pow.f64 x -2) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(+.f64 (pow.f64 x -2) (*.f64 1 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) 1))
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2)))
(+.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) (pow.f64 x -2))
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2))
(+.f64 (*.f64 (neg.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 (-.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 (pow.f64 x 2)))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (pow.f64 x -2) (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))) x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1))
(*.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (cbrt.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 (pow.f64 x 2)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 x 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 x -2)) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (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 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (-.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (-.f64 (+.f64 1 (*.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)) (pow.f64 x -2)) 1)
(pow.f64 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) -1)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.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)
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (pow.f64 x 2))))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2))
(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))))

simplify100.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
382×associate-+r+
373×associate-+l+
270×+-commutative
253×associate-/l*
216×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03426631
19546403
246226345
Stop Event
1×node limit
Counts
150 → 206
Calls
Call 1
Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/40320 (pow.f64 x 8)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 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 (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 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (/.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))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 2)))
(*.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 1 (pow.f64 (cos.f64 x) 2)) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.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 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 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(*.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 (+.f64 1 (*.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 (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 1 (+.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) 3)) (/.f64 1 (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))
(/.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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2))) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 1 (neg.f64 (+.f64 1 (cos.f64 x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 1 (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (+.f64 1 (cos.f64 x)))
(/.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 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 2))))
(/.f64 (+.f64 1 (pow.f64 (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 (neg.f64 (cos.f64 x)) 3)) (*.f64 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 (pow.f64 (cos.f64 x) 3) 3)) (*.f64 (+.f64 1 (+.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))) (pow.f64 (cos.f64 x) 3))))
(/.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 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2))) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (sqrt.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 (pow.f64 (cos.f64 x) 3)))) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)))) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)))))
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)))) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 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) 2)))) (sqrt.f64 (+.f64 1 (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 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2))) 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 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) 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 (-.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 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (+.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 (+.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))) (pow.f64 (cos.f64 x) 3)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2))) (sqrt.f64 (-.f64 1 (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 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (*.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 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (/.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 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) (cbrt.f64 (+.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)
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(+.f64 (pow.f64 x -2) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(+.f64 (pow.f64 x -2) (*.f64 1 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) 1))
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2)))
(+.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) (pow.f64 x -2))
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2))
(+.f64 (*.f64 (neg.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 (-.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 (pow.f64 x 2)))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (pow.f64 x -2) (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))) x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1))
(*.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (cbrt.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 (pow.f64 x 2)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.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 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 x 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 1 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 x -2)) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (-.f64 1 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (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 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (-.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (-.f64 (+.f64 1 (*.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)) (pow.f64 x -2)) 1)
(pow.f64 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) -1)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.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)
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (pow.f64 x 2))))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2))
(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))))
Outputs
(*.f64 1/2 (pow.f64 x 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 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) (*.f64 -1/24 (pow.f64 x 4)))
(*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -1/24 1/2))
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/40320 (pow.f64 x 8)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 -1/40320 (pow.f64 x 8) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 -1/40320 (pow.f64 x 8) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/720 (pow.f64 x 6)))))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 (pow.f64 x 2) -1/24))
(fma.f64 (pow.f64 x 2) -1/24 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 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 1/720)))
(+.f64 1/2 (fma.f64 (pow.f64 x 2) -1/24 (*.f64 (pow.f64 x 4) 1/720)))
(+.f64 (fma.f64 (pow.f64 x 2) -1/24 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 (pow.f64 x 2) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/720))))
(+.f64 1/2 (fma.f64 (pow.f64 x 2) -1/24 (fma.f64 (pow.f64 x 4) 1/720 (*.f64 (pow.f64 x 6) -1/40320))))
(+.f64 (fma.f64 (pow.f64 x 2) -1/24 1/2) (fma.f64 (pow.f64 x 4) 1/720 (*.f64 (pow.f64 x 6) -1/40320)))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 (-.f64 1 (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 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)
(-.f64 1 (cos.f64 x))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.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 (pow.f64 (cos.f64 x) 2) (-.f64 -1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(-.f64 1 (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.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 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 (pow.f64 (cos.f64 x) 2) (-.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 (+.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 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (-.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (-.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 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (pow.f64 (cos.f64 x) 2) (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 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (-.f64 (+.f64 1 (*.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 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 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3)) (-.f64 (fma.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.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 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 1 (+.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.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 (pow.f64 (cos.f64 x) 2) (-.f64 -1 (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))
(/.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 (pow.f64 (cos.f64 x) 2) (-.f64 -1 (cos.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(-.f64 1 (cos.f64 x))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(-.f64 1 (cos.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(-.f64 1 (cos.f64 x))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2))) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 1 (neg.f64 (+.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (-.f64 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 (pow.f64 (cos.f64 x) 2) (-.f64 -1 (cos.f64 x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 1 (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))
(/.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 (pow.f64 (cos.f64 x) 2) (-.f64 -1 (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 (cos.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.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 1 (pow.f64 (cos.f64 x) 6)) (*.f64 (+.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 (pow.f64 (cos.f64 x) 2) (-.f64 -1 (cos.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 4)) (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 1 (pow.f64 (cos.f64 x) 2))))
(/.f64 (+.f64 1 (pow.f64 (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 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 (pow.f64 (cos.f64 x) 2) (-.f64 -1 (cos.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (*.f64 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 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 (pow.f64 (cos.f64 x) 2) (-.f64 -1 (cos.f64 x))))
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(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))
(fabs.f64 (-.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))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(+.f64 (pow.f64 x -2) (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (pow.f64 x -2) (*.f64 1 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (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 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 x -2))) (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 (pow.f64 x -2) (neg.f64 (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 (neg.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 x -2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(-.f64 (pow.f64 x -2) (*.f64 (cos.f64 x) (pow.f64 x -2)))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.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)) (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 (cos.f64 x)) (pow.f64 x -2)) 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)) x) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 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 -1 (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 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.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)) (pow.f64 x 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.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)) (pow.f64 x 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.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 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.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 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (pow.f64 x 4))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (/.f64 -1 (pow.f64 x 2)) (+.f64 -1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (*.f64 (pow.f64 x -2) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) x))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (pow.f64 x 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 1 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 x -2)) (-.f64 1 (pow.f64 (cos.f64 x) 2))) (-.f64 1 (cos.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (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 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2))))
(*.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (pow.f64 x -2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 x -2)) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.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 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)))
(*.f64 (-.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (-.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 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (pow.f64 x -2) (-.f64 1 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (+.f64 1 (*.f64 (cos.f64 x) (-.f64 -1 (cos.f64 x)))) (*.f64 (/.f64 (pow.f64 x -2) (-.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 3))))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (-.f64 (+.f64 1 (*.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 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (+.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 (fma.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 1) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (pow.f64 x -2) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (+.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 (pow.f64 x -2) (+.f64 1 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))) 3)
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3) 1/3)
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (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 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 2))
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))
(log.f64 (pow.f64 (exp.f64 (-.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))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(expm1.f64 (log1p.f64 (*.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))
(exp.f64 (log.f64 (*.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))
(log1p.f64 (expm1.f64 (*.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))

eval82.0ms (0.8%)

Compiler

Compiled 4314 to 2679 computations (37.9% saved)

prune47.0ms (0.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New19412206
Fresh000
Picked011
Done000
Total19413207
Accuracy
100.0%
Counts
207 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.6%
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
✓50.1%
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
▶50.0%
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))
50.8%
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 x -2)) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
▶75.0%
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
▶50.0%
(/.f64 (log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
▶50.1%
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
▶50.6%
(+.f64 1/2 (*.f64 (pow.f64 x 2) -1/24))
51.0%
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
51.7%
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
50.9%
(*.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
35.6%
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3))
51.9%
1/2
51.6%
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
✓50.1%
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
▶50.0%
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))
50.8%
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 x -2)) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
▶75.0%
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
▶50.0%
(/.f64 (log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
▶50.1%
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
▶50.6%
(+.f64 1/2 (*.f64 (pow.f64 x 2) -1/24))
51.0%
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
51.7%
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
50.9%
(*.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
35.6%
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3))
51.9%
1/2
Compiler

Compiled 582 to 436 computations (25.1% saved)

localize770.0ms (7.1%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
✓99.8%
(exp.f64 (-.f64 1 (cos.f64 x)))
✓75.8%
(/.f64 (log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
75.4%
(-.f64 1 (cos.f64 x))
✓75.2%
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
✓97.5%
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
✓75.8%
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
✓51.7%
(log1p.f64 (neg.f64 (cos.f64 x)))
✓99.5%
(-.f64 1 (+.f64 1 (cos.f64 x)))
✓99.5%
(+.f64 1 (cos.f64 x))
✓75.8%
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))
✓75.4%
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)
✓99.3%
(*.f64 (pow.f64 x 2) -1/24)
✓100.0%
(tan.f64 (/.f64 x 2))
✓99.7%
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓75.8%
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
Compiler

Compiled 149 to 74 computations (50.3% saved)

series57.0ms (0.5%)

Counts
14 → 152
Calls

42 calls:

TimeVariablePointExpression
26.0ms
x
@inf
(log1p.f64 (neg.f64 (cos.f64 x)))
17.0ms
x
@-inf
(log1p.f64 (neg.f64 (cos.f64 x)))
5.0ms
x
@0
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
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))

rewrite295.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
752×associate-/r/
210×associate-+r+
176×pow1
166×add-exp-log
166×*-un-lft-identity
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030288
1513280
25812232
Stop Event
1×node limit
Counts
14 → 1002
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))
(*.f64 (pow.f64 x 2) -1/24)
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))
(+.f64 1 (cos.f64 x))
(-.f64 1 (+.f64 1 (cos.f64 x)))
(log1p.f64 (neg.f64 (cos.f64 x)))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
(exp.f64 (-.f64 1 (cos.f64 x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))))) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (pow.f64 x -2))
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 1 (neg.f64 (pow.f64 x 2))))
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) 1)
(*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))))
(*.f64 (sin.f64 x) (*.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x -2)))
(*.f64 (sin.f64 x) (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (neg.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))) (/.f64 1 x))
(*.f64 (pow.f64 x -2) (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (pow.f64 x -2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x) (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (pow.f64 x -2)))
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2)))) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2)))) 2) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2)))))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x 2)))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x 4))) (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 1 x) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) 1) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (pow.f64 x 2)) (sin.f64 x))
(*.f64 (/.f64 1 (neg.f64 (pow.f64 x 2))) (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (*.f64 (pow.f64 x -2) (tan.f64 (*.f64 x 1/2))) (sin.f64 x))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) 1) (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (pow.f64 x 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (pow.f64 x 2)))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (pow.f64 x 2)) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) 2) x) (/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2)))))
(*.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 x 2) 1)) (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 x 2) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (/.f64 (pow.f64 x 2) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))))) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (/.f64 1 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) 2))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (pow.f64 x 2) (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) 2) (pow.f64 x 2)) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (pow.f64 x 2) (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (sin.f64 x)))
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) 1)
(pow.f64 (/.f64 (/.f64 (pow.f64 x 2) (tan.f64 (*.f64 x 1/2))) (sin.f64 x)) -1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2)))) 3)
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) 3) 1/3)
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) 2) (pow.f64 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 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) 3) (pow.f64 (pow.f64 x 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2)))))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2)))))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))))) 1)
(-.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))) 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 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) 3) 1/3)
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))))
(log.f64 (/.f64 1 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) 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 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) 1)
(*.f64 1 (tan.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(/.f64 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)
(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))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 2) -1/24))) 1)
(pow.f64 (*.f64 (pow.f64 x 2) -1/24) 1)
(pow.f64 (*.f64 x (sqrt.f64 -1/24)) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) -1/24)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 2) -1/24) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/576))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 2) -1/24))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 2) -1/24) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 2) -1/24)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 2) -1/24)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 2) -1/24)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 2) -1/24)))
(-.f64 2 (sin.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 (cos.f64 x) 1)
(-.f64 (cos.f64 x) -1)
(-.f64 (sin.f64 x) 2)
(-.f64 (sin.f64 x) 0)
(-.f64 0 (sin.f64 x))
(-.f64 -1 (cos.f64 x))
(-.f64 3 (cos.f64 x))
(-.f64 -2 (sin.f64 x))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)))
(-.f64 (/.f64 1 (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 x)))) (/.f64 (pow.f64 (cos.f64 x) 3) (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 x)))))
(-.f64 (/.f64 1 (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 x)))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 x)))) 1))
(-.f64 (/.f64 1 (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 x)))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 x)))) -1))
(-.f64 (/.f64 1 (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 x)))) 1))
(-.f64 (/.f64 1 (cos.f64 x)) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) 1))
(-.f64 (/.f64 1 (cos.f64 x)) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) -1))
(-.f64 (/.f64 1 (cos.f64 x)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) 1))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)) (/.f64 1 (sin.f64 x)))
(-.f64 (log.f64 (E.f64)) (cos.f64 x))
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(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 1 (neg.f64 (pow.f64 x 2))) (sin.f64 x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 x 2)) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (/.f64 (cbrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 x 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))))
(*.f64 (/.f64 1 (/.f64 (pow.f64 x 2) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 x 2)) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) (-.f64 (pow.f64 (cos.f64 x) 3) 1)) (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) 1) (/.f64 (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) 1) (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) (/.f64 (pow.f64 (sin.f64 x) 2) 1)) (sin.f64 x))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) (neg.f64 (pow.f64 (sin.f64 x) 2))) (sin.f64 x))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 x)))))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)))))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (-.f64 1 (*.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 x))))) (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (cos.f64 x) (sin.f64 x)))))
(pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 1)
(pow.f64 (/.f64 (pow.f64 x 2) (sin.f64 x)) -1)
(pow.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 3) 1/3)
(neg.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)))
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (pow.f64 x 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (sin.f64 x)))) 1)
(*.f64 1 (exp.f64 (sin.f64 x)))
(*.f64 (exp.f64 (sin.f64 x)) 1)
(*.f64 (sqrt.f64 (exp.f64 (sin.f64 x))) (sqrt.f64 (exp.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2) (cbrt.f64 (exp.f64 (sin.f64 x))))
(*.f64 (exp.f64 (cos.f64 x)) (E.f64))
(*.f64 (E.f64) (exp.f64 (cos.f64 x)))
(*.f64 (/.f64 (E.f64) 1) (exp.f64 (cos.f64 x)))
(*.f64 (/.f64 (E.f64) (E.f64)) (exp.f64 (sin.f64 x)))
(/.f64 1 (/.f64 (exp.f64 (cos.f64 x)) (E.f64)))
(/.f64 (E.f64) (exp.f64 (cos.f64 x)))
(/.f64 (neg.f64 (E.f64)) (neg.f64 (exp.f64 (cos.f64 x))))
(pow.f64 (exp.f64 (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 3)
(pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3) 1/3)
(pow.f64 (E.f64) (sin.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) 2))
(log.f64 (exp.f64 (exp.f64 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (sin.f64 x))))
(log1p.f64 (expm1.f64 (exp.f64 (sin.f64 x))))

simplify389.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
645×associate-/l*
430×*-commutative
378×unswap-sqr
337×+-commutative
329×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
099943186
1264241213
Stop Event
1×node limit
Counts
1154 → 748
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 (pow.f64 x 2) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.f64 (*.f64 1/2 x))))
(*.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 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/40320 (pow.f64 x 8)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))))
(/.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 1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.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 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 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 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/40320 (pow.f64 x 8)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4)))))
-1
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))) 1)
(*.f64 -1 (cos.f64 x))
(*.f64 -1 (cos.f64 x))
(*.f64 -1 (cos.f64 x))
(*.f64 -1 (cos.f64 x))
(*.f64 -1 (cos.f64 x))
(*.f64 -1 (cos.f64 x))
(*.f64 -1 (cos.f64 x))
(*.f64 -1 (cos.f64 x))
(+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (*.f64 2 (log.f64 x))))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (*.f64 -1/1440 (pow.f64 x 4)) (*.f64 2 (log.f64 x)))))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (*.f64 -1/1440 (pow.f64 x 4)) (+.f64 (*.f64 -1/90720 (pow.f64 x 6)) (*.f64 2 (log.f64 x))))))
(log.f64 (-.f64 1 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))
(+.f64 (*.f64 -1/12 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))) (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)))
(+.f64 (*.f64 -1/12 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))) (+.f64 (*.f64 1/360 (*.f64 (pow.f64 x 2) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))))) (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2))))
(+.f64 (*.f64 -1/12 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))) (+.f64 (*.f64 -1/20160 (*.f64 (pow.f64 x 4) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))))) (+.f64 (*.f64 1/360 (*.f64 (pow.f64 x 2) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))))) (/.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (pow.f64 x 2)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))
(+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (*.f64 -1/12 (*.f64 (pow.f64 x 2) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))))))
(+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (+.f64 (*.f64 -1/12 (*.f64 (pow.f64 x 2) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))))) (*.f64 1/360 (*.f64 (pow.f64 x 4) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))))))
(+.f64 (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))) (+.f64 (*.f64 -1/12 (*.f64 (pow.f64 x 2) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))))) (+.f64 (*.f64 -1/20160 (*.f64 (pow.f64 x 6) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))))) (*.f64 1/360 (*.f64 (pow.f64 x 4) (exp.f64 (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))))))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(*.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 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
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(-.f64 1 (cos.f64 x))
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(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) (neg.f64 (pow.f64 (sin.f64 x) 2))) (sin.f64 x))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 x)))))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)))))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (-.f64 1 (*.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 x))))) (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (cos.f64 x) (sin.f64 x)))))
(pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 1)
(pow.f64 (/.f64 (pow.f64 x 2) (sin.f64 x)) -1)
(pow.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 3) 1/3)
(neg.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)))
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (pow.f64 x 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (sin.f64 x)))) 1)
(*.f64 1 (exp.f64 (sin.f64 x)))
(*.f64 (exp.f64 (sin.f64 x)) 1)
(*.f64 (sqrt.f64 (exp.f64 (sin.f64 x))) (sqrt.f64 (exp.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2) (cbrt.f64 (exp.f64 (sin.f64 x))))
(*.f64 (exp.f64 (cos.f64 x)) (E.f64))
(*.f64 (E.f64) (exp.f64 (cos.f64 x)))
(*.f64 (/.f64 (E.f64) 1) (exp.f64 (cos.f64 x)))
(*.f64 (/.f64 (E.f64) (E.f64)) (exp.f64 (sin.f64 x)))
(/.f64 1 (/.f64 (exp.f64 (cos.f64 x)) (E.f64)))
(/.f64 (E.f64) (exp.f64 (cos.f64 x)))
(/.f64 (neg.f64 (E.f64)) (neg.f64 (exp.f64 (cos.f64 x))))
(pow.f64 (exp.f64 (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 3)
(pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3) 1/3)
(pow.f64 (E.f64) (sin.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) 2))
(log.f64 (exp.f64 (exp.f64 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (sin.f64 x))))
(log1p.f64 (expm1.f64 (exp.f64 (sin.f64 x))))
Outputs
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 (fma.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 1/2 (fma.f64 -1/24 (pow.f64 x 2) (fma.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 (pow.f64 x 2) (cos.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 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 x) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.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 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 x) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.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 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 x) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.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 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 x) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.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 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 x) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.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 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 x) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.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 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 x) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.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 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 x) (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)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/40320 (pow.f64 x 8)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 -1/40320 (pow.f64 x 8) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (sin.f64 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 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x)))
(+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))))
(fma.f64 17/40320 (pow.f64 x 7) (fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.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 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 -1/24 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 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 (pow.f64 x 2)))
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/40320 (pow.f64 x 8)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 -1/40320 (pow.f64 x 8) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
(-.f64 1 (cos.f64 x))
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 (fma.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 1/2 (fma.f64 -1/24 (pow.f64 x 2) (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)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (*.f64 (pow.f64 x 2) -1/2))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 1/24)))
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/720 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/24))))
-1
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)
(fma.f64 1/2 (pow.f64 x 2) -1)
(-.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2))) 1)
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (fma.f64 1/2 (pow.f64 x 2) -1))
(-.f64 (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))) 1)
(+.f64 (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (pow.f64 x 2)))) -1)
(*.f64 -1 (cos.f64 x))
(neg.f64 (cos.f64 x))
(*.f64 -1 (cos.f64 x))
(neg.f64 (cos.f64 x))
(*.f64 -1 (cos.f64 x))
(neg.f64 (cos.f64 x))
(*.f64 -1 (cos.f64 x))
(neg.f64 (cos.f64 x))
(*.f64 -1 (cos.f64 x))
(neg.f64 (cos.f64 x))
(*.f64 -1 (cos.f64 x))
(neg.f64 (cos.f64 x))
(*.f64 -1 (cos.f64 x))
(neg.f64 (cos.f64 x))
(*.f64 -1 (cos.f64 x))
(neg.f64 (cos.f64 x))
(+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (*.f64 2 (log.f64 x))))
(+.f64 (log.f64 1/2) (fma.f64 -1/12 (pow.f64 x 2) (*.f64 2 (log.f64 x))))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (*.f64 -1/1440 (pow.f64 x 4)) (*.f64 2 (log.f64 x)))))
(+.f64 (log.f64 1/2) (fma.f64 -1/12 (pow.f64 x 2) (fma.f64 -1/1440 (pow.f64 x 4) (*.f64 2 (log.f64 x)))))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (*.f64 -1/1440 (pow.f64 x 4)) (+.f64 (*.f64 -1/90720 (pow.f64 x 6)) (*.f64 2 (log.f64 x))))))
(+.f64 (log.f64 1/2) (fma.f64 -1/12 (pow.f64 x 2) (fma.f64 -1/1440 (pow.f64 x 4) (fma.f64 -1/90720 (pow.f64 x 6) (*.f64 2 (log.f64 x))))))
(log.f64 (-.f64 1 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
(log.f64 (-.f64 1 (cos.f64 x)))
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(/.f64 (sin.f64 x) (pow.f64 x 2))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) (-.f64 (pow.f64 (cos.f64 x) 3) 1)) (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 x))))
(/.f64 (*.f64 (*.f64 (pow.f64 x -2) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (pow.f64 (cos.f64 x) 3) -1))
(*.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (*.f64 (pow.f64 x -2) (pow.f64 (sin.f64 x) 2)) (+.f64 -1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) 1) (/.f64 (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 x))) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (*.f64 (pow.f64 x -2) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (sin.f64 x) 2))))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) 1) (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2)))
(*.f64 (sin.f64 x) (pow.f64 x -2))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
(*.f64 (sin.f64 x) (pow.f64 x -2))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (*.f64 (pow.f64 x -2) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 (sin.f64 x) 2))))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) (/.f64 (pow.f64 (sin.f64 x) 2) 1)) (sin.f64 x))
(*.f64 (sin.f64 x) (pow.f64 x -2))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x)) (/.f64 (pow.f64 x -2) (sqrt.f64 (sin.f64 x)))))
(/.f64 (*.f64 (pow.f64 x -2) (pow.f64 (sin.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (pow.f64 x -2))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) (neg.f64 (pow.f64 (sin.f64 x) 2))) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (*.f64 (pow.f64 x -2) (pow.f64 (sin.f64 x) 2)) (neg.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 x -2) -1))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (*.f64 (pow.f64 x -2) (pow.f64 (sin.f64 x) 2)) (+.f64 -1 (neg.f64 (pow.f64 (cos.f64 x) 3)))))
(*.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 -1 (pow.f64 (cos.f64 x) 3))) (pow.f64 x -2)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x -2)) (neg.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 x)))))
(*.f64 (+.f64 -1 (neg.f64 (*.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 (*.f64 (pow.f64 x -2) (pow.f64 (sin.f64 x) 2)) (+.f64 -1 (neg.f64 (pow.f64 (cos.f64 x) 3)))))
(/.f64 (*.f64 (-.f64 -1 (*.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (pow.f64 x -2) (pow.f64 (sin.f64 x) 2))) (-.f64 -1 (pow.f64 (cos.f64 x) 3)))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (-.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 (sin.f64 x) 2)) (pow.f64 x -2))))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)))))
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 4) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (pow.f64 x -2))))
(*.f64 (+.f64 (pow.f64 (cos.f64 x) 4) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))) (*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (pow.f64 (cos.f64 x) 2) 3))) (pow.f64 x -2)))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (-.f64 1 (*.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 x))))) (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 x -2))))
(*.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (pow.f64 x -2)))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 (cos.f64 x) (sin.f64 x)))))
(*.f64 (+.f64 1 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 1 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 x)) 3)) (pow.f64 x -2))))
(/.f64 (*.f64 (-.f64 (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (*.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (pow.f64 x -2) (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 x)) 3)))
(pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 1)
(*.f64 (sin.f64 x) (pow.f64 x -2))
(pow.f64 (/.f64 (pow.f64 x 2) (sin.f64 x)) -1)
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 1 x))
(/.f64 (sin.f64 x) (pow.f64 x 2))
(pow.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) 2)
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 1 x))
(/.f64 (sin.f64 x) (pow.f64 x 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) 3)
(*.f64 (sin.f64 x) (pow.f64 x -2))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 3) 1/3)
(*.f64 (sin.f64 x) (pow.f64 x -2))
(neg.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (sin.f64 x) (neg.f64 (pow.f64 x -2)))
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (pow.f64 x -2)))
(*.f64 (sin.f64 x) (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)))))
(*.f64 (sin.f64 x) (pow.f64 x -2))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) 3))
(*.f64 (sin.f64 x) (pow.f64 x -2))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (pow.f64 x 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))))
(*.f64 (sin.f64 x) (pow.f64 x -2))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))))
(*.f64 (sin.f64 x) (pow.f64 x -2))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))) 1))
(*.f64 (sin.f64 x) (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 x -2))))
(*.f64 (sin.f64 x) (pow.f64 x -2))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (sin.f64 x)))) 1)
(exp.f64 (sin.f64 x))
(*.f64 1 (exp.f64 (sin.f64 x)))
(exp.f64 (sin.f64 x))
(*.f64 (exp.f64 (sin.f64 x)) 1)
(exp.f64 (sin.f64 x))
(*.f64 (sqrt.f64 (exp.f64 (sin.f64 x))) (sqrt.f64 (exp.f64 (sin.f64 x))))
(exp.f64 (sin.f64 x))
(*.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2))
(exp.f64 (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2) (cbrt.f64 (exp.f64 (sin.f64 x))))
(exp.f64 (sin.f64 x))
(*.f64 (exp.f64 (cos.f64 x)) (E.f64))
(*.f64 (E.f64) (exp.f64 (cos.f64 x)))
(*.f64 (E.f64) (exp.f64 (cos.f64 x)))
(*.f64 (/.f64 (E.f64) 1) (exp.f64 (cos.f64 x)))
(*.f64 (E.f64) (exp.f64 (cos.f64 x)))
(*.f64 (/.f64 (E.f64) (E.f64)) (exp.f64 (sin.f64 x)))
(exp.f64 (sin.f64 x))
(/.f64 1 (/.f64 (exp.f64 (cos.f64 x)) (E.f64)))
(*.f64 (/.f64 1 (exp.f64 (cos.f64 x))) (E.f64))
(*.f64 (E.f64) (/.f64 1 (exp.f64 (cos.f64 x))))
(/.f64 (E.f64) (exp.f64 (cos.f64 x)))
(/.f64 (neg.f64 (E.f64)) (neg.f64 (exp.f64 (cos.f64 x))))
(pow.f64 (exp.f64 (sin.f64 x)) 1)
(exp.f64 (sin.f64 x))
(pow.f64 (sqrt.f64 (exp.f64 (sin.f64 x))) 2)
(exp.f64 (sin.f64 x))
(pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 3)
(exp.f64 (sin.f64 x))
(pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3) 1/3)
(exp.f64 (sin.f64 x))
(pow.f64 (E.f64) (sin.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) 2))
(log.f64 (exp.f64 (exp.f64 (sin.f64 x))))
(exp.f64 (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (sin.f64 x)))))
(exp.f64 (sin.f64 x))
(cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3))
(exp.f64 (sin.f64 x))
(expm1.f64 (log1p.f64 (exp.f64 (sin.f64 x))))
(exp.f64 (sin.f64 x))
(log1p.f64 (expm1.f64 (exp.f64 (sin.f64 x))))
(exp.f64 (sin.f64 x))

eval321.0ms (2.9%)

Compiler

Compiled 16502 to 9066 computations (45.1% saved)

prune199.0ms (1.8%)

Pruning

16 alts after pruning (11 fresh and 5 done)

PrunedKeptTotal
New8668874
Fresh437
Picked145
Done011
Total87116887
Accuracy
100.0%
Counts
887 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.9%
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2))) (*.f64 x x))
✓50.1%
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
✓50.0%
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))
▶24.4%
(/.f64 (+.f64 -1 1) (*.f64 x x))
✓75.0%
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
27.5%
(/.f64 (sin.f64 x) (*.f64 x x))
▶25.8%
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))
✓50.1%
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
✓50.6%
(+.f64 1/2 (*.f64 (pow.f64 x 2) -1/24))
51.0%
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
▶51.7%
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
▶99.8%
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
27.7%
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 1 x))
▶99.7%
(*.f64 (/.f64 1 x) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))))
75.9%
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2)))
51.9%
1/2
74.9%
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2))) (*.f64 x x))
✓50.1%
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
✓50.0%
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))
▶24.4%
(/.f64 (+.f64 -1 1) (*.f64 x x))
✓75.0%
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
27.5%
(/.f64 (sin.f64 x) (*.f64 x x))
▶25.8%
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))
✓50.1%
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
✓50.6%
(+.f64 1/2 (*.f64 (pow.f64 x 2) -1/24))
51.0%
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
▶51.7%
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
▶99.8%
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
27.7%
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 1 x))
▶99.7%
(*.f64 (/.f64 1 x) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))))
75.9%
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2)))
51.9%
1/2
Compiler

Compiled 536 to 380 computations (29.1% saved)

localize802.0ms (7.3%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
✓100.0%
(tan.f64 (*.f64 x 1/2))
✓99.8%
(/.f64 (sin.f64 x) x)
✓99.7%
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))
✓99.7%
(*.f64 (/.f64 1 x) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))))
✓99.7%
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
✓77.5%
(/.f64 (-.f64 1 (cos.f64 x)) x)
75.4%
(-.f64 1 (cos.f64 x))
✓76.6%
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))
✓76.9%
(/.f64 (+.f64 -1 1) (*.f64 x x))
✓100.0%
(tan.f64 (*.f64 x 1/2))
✓99.9%
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
✓99.8%
(/.f64 (sin.f64 x) x)
✓99.8%
(/.f64 (tan.f64 (*.f64 x 1/2)) x)
Compiler

Compiled 134 to 66 computations (50.7% saved)

series9.0ms (0.1%)

Counts
12 → 120
Calls

36 calls:

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

rewrite203.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
737×associate-/r/
186×associate-*r*
176×pow1
163×*-un-lft-identity
162×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028288
1437281
25938281
Stop Event
1×node limit
Counts
12 → 526
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))
(/.f64 (+.f64 -1 1) (*.f64 x x))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))
(/.f64 (-.f64 1 (cos.f64 x)) x)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(*.f64 (/.f64 1 x) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) x)
(tan.f64 (*.f64 x 1/2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x))) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 1 x))
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 1)
(*.f64 1 (/.f64 (tan.f64 (*.f64 x 1/2)) x))
(*.f64 (/.f64 1 x) (tan.f64 (*.f64 x 1/2)))
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 (neg.f64 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (tan.f64 (*.f64 x 1/2)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x)))
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(/.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x)) (neg.f64 x))
(/.f64 (*.f64 -1 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) 1) (pow.f64 x 2))
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 1) x)
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) 1) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 x 1/2)))) (neg.f64 (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (*.f64 -1 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (neg.f64 (pow.f64 x 2)))
(/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) -1) (neg.f64 (pow.f64 x 2)))
(/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) 1) (pow.f64 x 2))
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (neg.f64 (pow.f64 x 2)))
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (neg.f64 x))
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2)))) 3)
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3) (pow.f64 (/.f64 1 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2)))))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) 1)
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 x (tan.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) x)
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (neg.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 x (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 (neg.f64 x) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 (cos.f64 (*.f64 x 1/2)) x))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 (cos.f64 (*.f64 x 1/2)) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) (sin.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) 1) x)
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))))
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (neg.f64 x))
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 3)
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.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) x)))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))
(+.f64 0 (/.f64 (sin.f64 x) x))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))) 1)
(-.f64 0 (/.f64 (sin.f64 x) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) 1)
(*.f64 (sin.f64 x) (/.f64 1 x))
(*.f64 (sin.f64 x) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 (sin.f64 x) x) -1)
(*.f64 (/.f64 (sin.f64 x) x) 1)
(*.f64 -1 (/.f64 (sin.f64 x) x))
(*.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 x) (sin.f64 x))
(*.f64 (pow.f64 x -1/2) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x)))
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(*.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 1 x))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (pow.f64 x -1/2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (neg.f64 x)) (sin.f64 x))
(*.f64 (/.f64 -1 x) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 -1 (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 -1 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 x)) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (neg.f64 x)) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) 1) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 x)) -1)
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (sqrt.f64 x)) (pow.f64 x -1/2))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(pow.f64 (/.f64 (sin.f64 x) x) 1)
(pow.f64 (/.f64 x (sin.f64 x)) -1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3)
(neg.f64 (/.f64 (sin.f64 x) x))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 1 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))
(-.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 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)
(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))))

simplify181.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
762×associate-*l*
701×associate-*r*
403×associate-*r/
392×*-commutative
378×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
086123087
1213822683
Stop Event
1×node limit
Counts
646 → 596
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 1/240 (pow.f64 x 4)) (*.f64 1/24 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (*.f64 17/40320 (pow.f64 x 6)) (+.f64 (*.f64 1/240 (pow.f64 x 4)) (*.f64 1/24 (pow.f64 x 2)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.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 (pow.f64 x 2) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.f64 (*.f64 1/2 x))))
(*.f64 1/2 x)
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.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 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
0
0
0
0
0
0
0
0
0
0
0
0
(/.f64 -1 x)
(-.f64 (*.f64 1/6 x) (/.f64 1 x))
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1/2
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1/2
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1
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(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 1 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))
(-.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 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)
(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 (*.f64 1/240 (pow.f64 x 4)) (*.f64 1/24 (pow.f64 x 2))))
(+.f64 1/2 (fma.f64 1/240 (pow.f64 x 4) (*.f64 1/24 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (*.f64 17/40320 (pow.f64 x 6)) (+.f64 (*.f64 1/240 (pow.f64 x 4)) (*.f64 1/24 (pow.f64 x 2)))))
(+.f64 1/2 (fma.f64 17/40320 (pow.f64 x 6) (fma.f64 1/240 (pow.f64 x 4) (*.f64 1/24 (pow.f64 x 2)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) x) (cos.f64 (*.f64 1/2 x)))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) x)
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) x) (cos.f64 (*.f64 1/2 x)))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) x)
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) x) (cos.f64 (*.f64 1/2 x)))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) x)
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) x) (cos.f64 (*.f64 1/2 x)))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) x)
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) x) (cos.f64 (*.f64 1/2 x)))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) x)
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) x) (cos.f64 (*.f64 1/2 x)))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) x)
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) x) (cos.f64 (*.f64 1/2 x)))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) x)
(/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) x) (cos.f64 (*.f64 1/2 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 (pow.f64 x 2) -1/6))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/6 (pow.f64 x 2) (*.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 (pow.f64 x 2) (fma.f64 -1/5040 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/120))))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 (pow.f64 x 2) -1/24))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (pow.f64 x 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 (pow.f64 x 2) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/720))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.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 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 x) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.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 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 x) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.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 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 x) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.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 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 x) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.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 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 x) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.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 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 x) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.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 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 x) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.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 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 x) (pow.f64 x 2)))
(*.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 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x)))
(+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))))
(fma.f64 17/40320 (pow.f64 x 7) (fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.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 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
0
0
0
0
0
0
0
0
0
0
0
0
(/.f64 -1 x)
(-.f64 (*.f64 1/6 x) (/.f64 1 x))
(-.f64 (*.f64 x 1/6) (/.f64 1 x))
(fma.f64 1/6 x (/.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1/120 (pow.f64 x 3)) (*.f64 1/6 x)) (/.f64 1 x))
(-.f64 (fma.f64 -1/120 (pow.f64 x 3) (*.f64 x 1/6)) (/.f64 1 x))
(+.f64 (/.f64 -1 x) (fma.f64 -1/120 (pow.f64 x 3) (*.f64 x 1/6)))
(-.f64 (+.f64 (*.f64 -1/120 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 5)) (*.f64 1/6 x))) (/.f64 1 x))
(-.f64 (fma.f64 -1/120 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 5) (*.f64 x 1/6))) (/.f64 1 x))
(+.f64 (/.f64 -1 x) (fma.f64 -1/120 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 5) (*.f64 x 1/6))))
(*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 x 2)))
(neg.f64 (/.f64 (sin.f64 x) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (neg.f64 (pow.f64 x 2)))
(*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 x 2)))
(neg.f64 (/.f64 (sin.f64 x) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (neg.f64 (pow.f64 x 2)))
(*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 x 2)))
(neg.f64 (/.f64 (sin.f64 x) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (neg.f64 (pow.f64 x 2)))
(*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 x 2)))
(neg.f64 (/.f64 (sin.f64 x) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (neg.f64 (pow.f64 x 2)))
(*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 x 2)))
(neg.f64 (/.f64 (sin.f64 x) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (neg.f64 (pow.f64 x 2)))
(*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 x 2)))
(neg.f64 (/.f64 (sin.f64 x) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (neg.f64 (pow.f64 x 2)))
(*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 x 2)))
(neg.f64 (/.f64 (sin.f64 x) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (neg.f64 (pow.f64 x 2)))
(*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 x 2)))
(neg.f64 (/.f64 (sin.f64 x) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (neg.f64 (pow.f64 x 2)))
(*.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 1/720 (pow.f64 x 5)) (*.f64 1/2 x)))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/720 (pow.f64 x 5) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/720 (pow.f64 x 5)) (*.f64 1/2 x))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 -1/40320 (pow.f64 x 7) (fma.f64 1/720 (pow.f64 x 5) (*.f64 1/2 x))))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 (pow.f64 x 2) -1/24))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (pow.f64 x 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 (pow.f64 x 2) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/720))))
(/.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))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 (pow.f64 x 2) -1/24))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/24 (pow.f64 x 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 (pow.f64 x 2) (fma.f64 -1/40320 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/720))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.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 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 x) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.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 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 x) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.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 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 x) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.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 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 x) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.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 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 x) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.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 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 x) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.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 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 x) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.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 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (/.f64 (sin.f64 x) (pow.f64 x 2)))
(*.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))
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(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x))
(*.f64 (/.f64 -1 (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (/.f64 -1 x) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 -1 x) (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 -1 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (cbrt.f64 (sin.f64 x)) (*.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 -1 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (/.f64 1 x) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 x) (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (/.f64 1 x) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 x)) (sqrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (neg.f64 x)) (cbrt.f64 (sin.f64 x)))
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (neg.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) 1) (/.f64 1 x))
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 x)) -1)
(*.f64 -1 (/.f64 (sin.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (sqrt.f64 x)) (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (/.f64 (sin.f64 x) x) 1)
(/.f64 (sin.f64 x) x)
(pow.f64 (/.f64 x (sin.f64 x)) -1)
(/.f64 (sin.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)
(/.f64 (sin.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)
(/.f64 (sin.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3)
(/.f64 (sin.f64 x) x)
(neg.f64 (/.f64 (sin.f64 x) x))
(/.f64 (neg.f64 (sin.f64 x)) x)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 x) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x))))
(/.f64 (sin.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))
(/.f64 (sin.f64 x) x)
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 1 x) 3)))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (sin.f64 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))
(/.f64 (sin.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 x) x)
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 x) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1))
(/.f64 (sin.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))
(/.f64 (sin.f64 x) x)
(-.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 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))))
(/.f64 (neg.f64 (sin.f64 (*.f64 1/2 x))) (neg.f64 (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))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))
(tan.f64 (*.f64 1/2 x))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(tan.f64 (*.f64 1/2 x))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1))
(tan.f64 (*.f64 1/2 x))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 1/2 x))

eval457.0ms (4.2%)

Compiler

Compiled 14516 to 8881 computations (38.8% saved)

prune228.0ms (2.1%)

Pruning

18 alts after pruning (12 fresh and 6 done)

PrunedKeptTotal
New8388846
Fresh246
Picked325
Done145
Total84418862
Accuracy
100.0%
Counts
862 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.7%
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (neg.f64 x))
99.8%
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (*.f64 x 1/2))))
▶27.7%
(/.f64 (/.f64 (sin.f64 x) x) x)
✓50.1%
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
✓50.0%
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))
▶99.8%
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) x)
✓75.0%
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
27.5%
(/.f64 (sin.f64 x) (*.f64 x x))
✓25.8%
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))
▶50.8%
(/.f64 -1 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))))
✓50.6%
(+.f64 1/2 (*.f64 (pow.f64 x 2) -1/24))
▶51.0%
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
✓51.7%
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
51.7%
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x))
75.9%
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2)))
▶52.7%
(*.f64 1/2 (/.f64 (sin.f64 x) x))
51.9%
1/2
25.1%
0
51.7%
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (neg.f64 x))
99.8%
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (*.f64 x 1/2))))
▶27.7%
(/.f64 (/.f64 (sin.f64 x) x) x)
✓50.1%
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
✓50.0%
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))
▶99.8%
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) x)
✓75.0%
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
27.5%
(/.f64 (sin.f64 x) (*.f64 x x))
✓25.8%
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))
▶50.8%
(/.f64 -1 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))))
✓50.6%
(+.f64 1/2 (*.f64 (pow.f64 x 2) -1/24))
▶51.0%
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
✓51.7%
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
51.7%
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x))
75.9%
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2)))
▶52.7%
(*.f64 1/2 (/.f64 (sin.f64 x) x))
51.9%
1/2
25.1%
0
Compiler

Compiled 530 to 372 computations (29.8% saved)

localize847.0ms (7.8%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
✓75.9%
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
75.4%
(-.f64 1 (cos.f64 x))
✓99.7%
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
✓99.0%
(/.f64 -1 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))))
✓77.4%
(/.f64 x (+.f64 -1 (cos.f64 x)))
✓75.4%
(+.f64 -1 (cos.f64 x))
✓99.9%
(/.f64 (/.f64 (sin.f64 x) x) x)
99.8%
(/.f64 (sin.f64 x) x)
99.8%
(/.f64 (sin.f64 x) x)
100.0%
(tan.f64 (*.f64 x 1/2))
✓99.9%
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) x)
99.8%
(/.f64 (sin.f64 x) x)
✓99.7%
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))
Compiler

Compiled 116 to 51 computations (56% saved)

series9.0ms (0.1%)

Counts
8 → 96
Calls

24 calls:

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

rewrite195.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
713×associate-/l/
402×distribute-lft-in
189×pow1
172×add-exp-log
172×add-log-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025243
1391231
25633229
Stop Event
1×node limit
Counts
8 → 305
Calls
Call 1
Inputs
(*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) x)
(/.f64 (/.f64 (sin.f64 x) x) x)
(+.f64 -1 (cos.f64 x))
(/.f64 x (+.f64 -1 (cos.f64 x)))
(/.f64 -1 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))))
(*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x))))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) 1)
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 1)
(/.f64 1 (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))))
(/.f64 1 (*.f64 1 (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(/.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) x)
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 (cos.f64 (*.f64 x 1/2)) x))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 x (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 1 (*.f64 (cos.f64 (*.f64 x 1/2)) x)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (tan.f64 (*.f64 x 1/2))) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x))
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) (neg.f64 x))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 1 (*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x)))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 (*.f64 x 1/2)) (neg.f64 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 1 (*.f64 (cos.f64 (*.f64 x 1/2)) (neg.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 x (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 1 (*.f64 x (cos.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (*.f64 (neg.f64 x) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (*.f64 1 (*.f64 (neg.f64 x) (cos.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 3)
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.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) x)))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (tan.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))))) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2)))
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 1 x)))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) (/.f64 1 x))
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))) 1)
(*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (pow.f64 x -2))))
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (neg.f64 (sin.f64 x)) x)) (/.f64 -1 x))
(*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x))) (/.f64 1 x)))
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(*.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x) (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))) x))
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(*.f64 (cbrt.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))) (pow.f64 (cbrt.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))) 2) (cbrt.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))))
(*.f64 (/.f64 -1 (pow.f64 x 2)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 -1 x) (neg.f64 x)) (-.f64 1 (cos.f64 x)))
(pow.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2))) 1)
(pow.f64 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) -1)
(pow.f64 (/.f64 (sqrt.f64 -1) (/.f64 x (sqrt.f64 (+.f64 -1 (cos.f64 x))))) 2)
(pow.f64 (cbrt.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))) 3)
(pow.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2))) 3) 1/3)
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))
(sqrt.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2))) 2))
(log.f64 (exp.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))))
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2))))))
(cbrt.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2))) 3))
(expm1.f64 (log1p.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))))
(exp.f64 (log.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))) 1))
(log1p.f64 (expm1.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))))
(+.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 (sin.f64 x) 2)) -1) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 (sin.f64 x) 2)) (neg.f64 (cos.f64 x))))
(+.f64 (*.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) 1))
(+.f64 (*.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x))))) 1)
(/.f64 x (/.f64 (+.f64 -1 (cos.f64 x)) x))
(/.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x))) 1)
(/.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))
(/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x)))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (neg.f64 x) x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (pow.f64 x 2) 1) (+.f64 -1 (cos.f64 x)))
(/.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (sqrt.f64 (+.f64 -1 (cos.f64 x))))
(/.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) (cbrt.f64 (+.f64 -1 (cos.f64 x))))
(/.f64 (neg.f64 (pow.f64 x 2)) (-.f64 1 (cos.f64 x)))
(pow.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x))) 1)
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 -1 (cos.f64 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x)))))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2)))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) 1)))
(+.f64 (pow.f64 x -2) (*.f64 1 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))))
(+.f64 (pow.f64 x -2) (*.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2))))
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2))
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 x -2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) (-.f64 1 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) 1)
(/.f64 (sin.f64 x) (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 x (/.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (sin.f64 x) x) (*.f64 (+.f64 (cos.f64 x) 1) (/.f64 x (sin.f64 x))))
(/.f64 1 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x))))
(/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) 1) x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 (sin.f64 x))) (*.f64 (+.f64 (cos.f64 x) 1) (neg.f64 x)))
(/.f64 (*.f64 (pow.f64 x -2) (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) 1))
(/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) 1)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) x)) (*.f64 (+.f64 (cos.f64 x) 1) x))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) x)) (*.f64 (+.f64 (cos.f64 x) 1) (neg.f64 x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) 1)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) 1) (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 x (neg.f64 x))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (neg.f64 x) x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (neg.f64 x) (neg.f64 x))))
(pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 1)
(pow.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x -4)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (pow.f64 x -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))

simplify343.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
495×associate-*r*
454×associate-*l*
429×associate-/l*
397×times-frac
382×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077915073
1212014327
Stop Event
1×node limit
Counts
401 → 456
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 1/720 (pow.f64 x 5)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/720 (pow.f64 x 5)) (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 x (cos.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 (pow.f64 x 2) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 x 2) (cos.f64 (*.f64 1/2 x))))
(/.f64 1 x)
(+.f64 (*.f64 -1/6 x) (/.f64 1 x))
(+.f64 (*.f64 -1/6 x) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (*.f64 -1/6 x) (+.f64 (*.f64 -1/5040 (pow.f64 x 5)) (+.f64 (*.f64 1/120 (pow.f64 x 3)) (/.f64 1 x))))
(/.f64 (sin.f64 x) (pow.f64 x 2))
(/.f64 (sin.f64 x) (pow.f64 x 2))
(/.f64 (sin.f64 x) (pow.f64 x 2))
(/.f64 (sin.f64 x) (pow.f64 x 2))
(/.f64 (sin.f64 x) (pow.f64 x 2))
(/.f64 (sin.f64 x) (pow.f64 x 2))
(/.f64 (sin.f64 x) (pow.f64 x 2))
(/.f64 (sin.f64 x) (pow.f64 x 2))
(*.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 -1/720 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (+.f64 (*.f64 1/40320 (pow.f64 x 8)) (*.f64 1/24 (pow.f64 x 4)))))
(-.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 -2 x)
(-.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1/6 x) (*.f64 -1/120 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1/6 x) (+.f64 (*.f64 -1/120 (pow.f64 x 3)) (*.f64 -1/3024 (pow.f64 x 5)))) (*.f64 2 (/.f64 1 x)))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (-.f64 (cos.f64 x) 1))
(/.f64 x (-.f64 (cos.f64 x) 1))
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)))
-2
(-.f64 (*.f64 -1/6 (pow.f64 x 2)) 2)
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -1/120 (pow.f64 x 4))) 2)
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/120 (pow.f64 x 4)) (*.f64 -1/3024 (pow.f64 x 6)))) 2)
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 x 2) (-.f64 (cos.f64 x) 1))
1/2
(+.f64 1/2 (*.f64 -1/24 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 -1/40320 (pow.f64 x 6)) (*.f64 1/720 (pow.f64 x 4)))))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)))) 1)
(/.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 x (sin.f64 x)))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) 1)
(/.f64 1 (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x))))
(/.f64 1 (*.f64 1 (/.f64 x (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(/.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (sin.f64 x)) x)
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (cos.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
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(+.f64 (*.f64 (/.f64 x (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 x (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 -1 (cos.f64 x))))) 1)
(*.f64 x (/.f64 -1 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 1)
(*.f64 1 (/.f64 x (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) x)
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 -1 (-.f64 1 (cos.f64 x)))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 (cbrt.f64 x) (/.f64 -1 (-.f64 1 (cos.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 2) (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 -1 (cos.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 -1 (cos.f64 x)))))
(*.f64 (/.f64 x (pow.f64 (sin.f64 x) 2)) (-.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 x (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) 1)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 (cos.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 2)) 1) (/.f64 (cbrt.f64 x) (+.f64 -1 (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 2)) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 (cos.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))))
(pow.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 1)
(pow.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) -1)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 3) 1/3)
(neg.f64 (/.f64 x (-.f64 1 (cos.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 -1 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 (cos.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))))
(exp.f64 (log.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 -1 (cos.f64 x)))))
(+.f64 (*.f64 (/.f64 -1 (pow.f64 x 2)) -1) (*.f64 (/.f64 -1 (pow.f64 x 2)) (cos.f64 x)))
(+.f64 (*.f64 (/.f64 -1 (pow.f64 x 2)) (cos.f64 x)) (*.f64 (/.f64 -1 (pow.f64 x 2)) -1))
(+.f64 (*.f64 (/.f64 (/.f64 -1 x) (neg.f64 x)) 1) (*.f64 (/.f64 (/.f64 -1 x) (neg.f64 x)) (neg.f64 (cos.f64 x))))
(+.f64 (*.f64 (/.f64 (/.f64 -1 x) (neg.f64 x)) 1) (*.f64 (/.f64 (/.f64 -1 x) (neg.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) 1)))
(+.f64 (*.f64 (/.f64 (/.f64 -1 x) (neg.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (/.f64 (/.f64 -1 x) (neg.f64 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (neg.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 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2))) 1)
(*.f64 1 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2))))
(*.f64 (/.f64 -1 x) (/.f64 (+.f64 -1 (cos.f64 x)) x))
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)) -1)
(*.f64 (/.f64 (sqrt.f64 -1) (/.f64 x (sqrt.f64 (+.f64 -1 (cos.f64 x))))) (/.f64 (sqrt.f64 -1) (/.f64 x (sqrt.f64 (+.f64 -1 (cos.f64 x))))))
(*.f64 (cbrt.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))) (pow.f64 (cbrt.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))) 2) (cbrt.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))))
(*.f64 (/.f64 -1 (pow.f64 x 2)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 -1 x) (neg.f64 x)) (-.f64 1 (cos.f64 x)))
(pow.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2))) 1)
(pow.f64 (/.f64 (pow.f64 x 2) (-.f64 1 (cos.f64 x))) -1)
(pow.f64 (/.f64 (sqrt.f64 -1) (/.f64 x (sqrt.f64 (+.f64 -1 (cos.f64 x))))) 2)
(pow.f64 (cbrt.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))) 3)
(pow.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2))) 3) 1/3)
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))
(sqrt.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2))) 2))
(log.f64 (exp.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))))
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2))))))
(cbrt.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2))) 3))
(expm1.f64 (log1p.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))))
(exp.f64 (log.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))) 1))
(log1p.f64 (expm1.f64 (neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))))
(+.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 (sin.f64 x) 2)) -1) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 (sin.f64 x) 2)) (neg.f64 (cos.f64 x))))
(+.f64 (*.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) 1) (*.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) 1))
(+.f64 (*.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (pow.f64 (cos.f64 x) 3))) (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x))))) 1)
(/.f64 x (/.f64 (+.f64 -1 (cos.f64 x)) x))
(/.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x))) 1)
(/.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (pow.f64 x 2)))
(/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x)))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (neg.f64 x) x) (-.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (pow.f64 x 2) 1) (+.f64 -1 (cos.f64 x)))
(/.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (sqrt.f64 (+.f64 -1 (cos.f64 x))))
(/.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) (cbrt.f64 (+.f64 -1 (cos.f64 x))))
(/.f64 (neg.f64 (pow.f64 x 2)) (-.f64 1 (cos.f64 x)))
(pow.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x))) 1)
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 -1 (cos.f64 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x)))))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2)))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) 1)))
(+.f64 (pow.f64 x -2) (*.f64 1 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))))
(+.f64 (pow.f64 x -2) (*.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2))))
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2))
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 x -2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) (-.f64 1 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) 1)
(/.f64 (sin.f64 x) (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 x (/.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (sin.f64 x) x) (*.f64 (+.f64 (cos.f64 x) 1) (/.f64 x (sin.f64 x))))
(/.f64 1 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x))))
(/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) 1) x))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 (sin.f64 x))) (*.f64 (+.f64 (cos.f64 x) 1) (neg.f64 x)))
(/.f64 (*.f64 (pow.f64 x -2) (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) 1))
(/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) 1)))
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) x)) (*.f64 (+.f64 (cos.f64 x) 1) x))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) x)) (*.f64 (+.f64 (cos.f64 x) 1) (neg.f64 x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) 1)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) 1) (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 x (neg.f64 x))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (neg.f64 x) x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (neg.f64 x) (neg.f64 x))))
(pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 1)
(pow.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x -4)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (pow.f64 x -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))
Outputs
(*.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 1/720 (pow.f64 x 5)) (*.f64 1/2 x)))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 1/720 (pow.f64 x 5) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 -1/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/720 (pow.f64 x 5)) (*.f64 1/2 x))))
(fma.f64 -1/24 (pow.f64 x 3) (fma.f64 -1/40320 (pow.f64 x 7) (fma.f64 1/720 (pow.f64 x 5) (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 x) (/.f64 (*.f64 x (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 x) (/.f64 (*.f64 x (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 x) (/.f64 (*.f64 x (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 x) (/.f64 (*.f64 x (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 x) (/.f64 (*.f64 x (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 x) (/.f64 (*.f64 x (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 x) (/.f64 (*.f64 x (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.f64 (*.f64 1/2 x)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (*.f64 x (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 x) (/.f64 (*.f64 x (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 x (cos.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))))
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(/.f64 (pow.f64 x 2) (+.f64 (cos.f64 x) -1))
(/.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 (+.f64 -1 (cos.f64 x)))) (sqrt.f64 (+.f64 -1 (cos.f64 x))))
(/.f64 (pow.f64 x 2) (+.f64 (cos.f64 x) -1))
(/.f64 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 (+.f64 -1 (cos.f64 x))) 2)) (cbrt.f64 (+.f64 -1 (cos.f64 x))))
(/.f64 (pow.f64 x 2) (+.f64 (cos.f64 x) -1))
(/.f64 (neg.f64 (pow.f64 x 2)) (-.f64 1 (cos.f64 x)))
(pow.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x))) 1)
(/.f64 (pow.f64 x 2) (+.f64 (cos.f64 x) -1))
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 -1 (cos.f64 x)))) 2)
(/.f64 (pow.f64 x 2) (+.f64 (cos.f64 x) -1))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x)))) 3)
(/.f64 (pow.f64 x 2) (+.f64 (cos.f64 x) -1))
(pow.f64 (pow.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x))) 3) 1/3)
(/.f64 (pow.f64 x 2) (+.f64 (cos.f64 x) -1))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x))) 2))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (+.f64 (cos.f64 x) -1)) 2))
(fabs.f64 (/.f64 (pow.f64 x 2) (+.f64 (cos.f64 x) -1)))
(log.f64 (exp.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x)))))
(/.f64 (pow.f64 x 2) (+.f64 (cos.f64 x) -1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x))))))
(/.f64 (pow.f64 x 2) (+.f64 (cos.f64 x) -1))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x))) 3))
(/.f64 (pow.f64 x 2) (+.f64 (cos.f64 x) -1))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 3)))
(/.f64 (pow.f64 x 2) (+.f64 (cos.f64 x) -1))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 -1 (cos.f64 x))) 3) (pow.f64 x 3)))
(/.f64 (pow.f64 x 2) (+.f64 (cos.f64 x) -1))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x)))))
(/.f64 (pow.f64 x 2) (+.f64 (cos.f64 x) -1))
(exp.f64 (log.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x)))))
(/.f64 (pow.f64 x 2) (+.f64 (cos.f64 x) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x)))) 1))
(/.f64 (pow.f64 x 2) (+.f64 (cos.f64 x) -1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x 2) (+.f64 -1 (cos.f64 x)))))
(/.f64 (pow.f64 x 2) (+.f64 (cos.f64 x) -1))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))))
(*.f64 (+.f64 (neg.f64 (cos.f64 x)) 1) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2)))
(*.f64 (+.f64 (neg.f64 (cos.f64 x)) 1) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (*.f64 (neg.f64 (cos.f64 x)) 1)))
(*.f64 (+.f64 (neg.f64 (cos.f64 x)) 1) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (pow.f64 x -2) (*.f64 1 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))))
(*.f64 (+.f64 (neg.f64 (cos.f64 x)) 1) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (pow.f64 x -2) (*.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2))))
(*.f64 (+.f64 (neg.f64 (cos.f64 x)) 1) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x))) (pow.f64 x -2))
(*.f64 (+.f64 (neg.f64 (cos.f64 x)) 1) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(+.f64 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2)) (pow.f64 x -2))
(*.f64 (+.f64 (neg.f64 (cos.f64 x)) 1) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) (-.f64 1 (*.f64 (pow.f64 x -2) (neg.f64 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) (+.f64 1 (*.f64 (cos.f64 x) (pow.f64 x -2))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 x -2))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) (+.f64 1 (*.f64 (cos.f64 x) (pow.f64 x -2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))) 1)
(*.f64 (+.f64 (neg.f64 (cos.f64 x)) 1) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(/.f64 (sin.f64 x) (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 x (/.f64 x (sin.f64 x)))))
(/.f64 (sin.f64 x) (*.f64 (/.f64 (pow.f64 x 2) (sin.f64 x)) (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 x) x) (*.f64 (+.f64 (cos.f64 x) 1) (/.f64 x (sin.f64 x))))
(/.f64 (sin.f64 x) (*.f64 (/.f64 (pow.f64 x 2) (sin.f64 x)) (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 1 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (/.f64 x (sin.f64 x)) (/.f64 x (sin.f64 x)))))
(/.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (/.f64 (/.f64 (pow.f64 x 2) (sin.f64 x)) (sin.f64 x))))
(/.f64 1 (*.f64 (+.f64 1 (cos.f64 x)) (/.f64 (pow.f64 x 2) (pow.f64 (sin.f64 x) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 (cos.f64 x) 1) (pow.f64 x 2)))
(/.f64 (sin.f64 x) (*.f64 (/.f64 (pow.f64 x 2) (sin.f64 x)) (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (/.f64 x (sin.f64 x)) (neg.f64 x))))
(/.f64 (sin.f64 x) (*.f64 (/.f64 (pow.f64 x 2) (sin.f64 x)) (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2) (+.f64 (cos.f64 x) 1))
(/.f64 (sin.f64 x) (*.f64 (/.f64 (pow.f64 x 2) (sin.f64 x)) (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) 1) x))
(/.f64 (sin.f64 x) (*.f64 (/.f64 (pow.f64 x 2) (sin.f64 x)) (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 (sin.f64 x))) (*.f64 (+.f64 (cos.f64 x) 1) (neg.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (/.f64 (pow.f64 x 2) (sin.f64 x)) (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 x -2) (pow.f64 (sin.f64 x) 2)) (+.f64 (cos.f64 x) 1))
(/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 x -2) (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) 1)))
(/.f64 (pow.f64 x -2) (/.f64 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (pow.f64 x -2) (/.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) (/.f64 (sin.f64 x) x)) (*.f64 (+.f64 (cos.f64 x) 1) x))
(/.f64 (sin.f64 x) (*.f64 (/.f64 (pow.f64 x 2) (sin.f64 x)) (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sin.f64 x) x)) (*.f64 (+.f64 (cos.f64 x) 1) (neg.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (/.f64 (pow.f64 x 2) (sin.f64 x)) (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (pow.f64 x -2)) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 x) 1)))
(/.f64 (pow.f64 x -2) (/.f64 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2)) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (pow.f64 x -2) (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) 1) (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (neg.f64 x) (/.f64 x (sin.f64 x)))))
(/.f64 (sin.f64 x) (*.f64 (/.f64 (pow.f64 x 2) (sin.f64 x)) (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 x (neg.f64 x))))
(/.f64 (sin.f64 x) (*.f64 (/.f64 (pow.f64 x 2) (sin.f64 x)) (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (neg.f64 x) x)))
(/.f64 (sin.f64 x) (*.f64 (/.f64 (pow.f64 x 2) (sin.f64 x)) (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (neg.f64 x) (neg.f64 x))))
(/.f64 (sin.f64 x) (*.f64 (/.f64 (pow.f64 x 2) (sin.f64 x)) (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2) (+.f64 1 (cos.f64 x)))
(pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 1)
(*.f64 (+.f64 (neg.f64 (cos.f64 x)) 1) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 x)) 2)
(pow.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) 2)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 3)
(*.f64 (+.f64 (neg.f64 (cos.f64 x)) 1) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3) 1/3)
(*.f64 (+.f64 (neg.f64 (cos.f64 x)) 1) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 x -4)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (log.f64 (exp.f64 (pow.f64 x -2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))))
(*.f64 (+.f64 (neg.f64 (cos.f64 x)) 1) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))) 3))
(*.f64 (+.f64 (neg.f64 (cos.f64 x)) 1) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))
(*.f64 (+.f64 (neg.f64 (cos.f64 x)) 1) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (pow.f64 x -2) 3)))
(*.f64 (+.f64 (neg.f64 (cos.f64 x)) 1) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))
(*.f64 (+.f64 (neg.f64 (cos.f64 x)) 1) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(exp.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))
(*.f64 (+.f64 (neg.f64 (cos.f64 x)) 1) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))) 1))
(*.f64 (+.f64 (neg.f64 (cos.f64 x)) 1) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))))
(*.f64 (+.f64 (neg.f64 (cos.f64 x)) 1) (pow.f64 x -2))
(*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2))

eval463.0ms (4.2%)

Compiler

Compiled 21405 to 12185 computations (43.1% saved)

prune309.0ms (2.8%)

Pruning

22 alts after pruning (12 fresh and 10 done)

PrunedKeptTotal
New142061426
Fresh167
Picked145
Done066
Total1422221444
Accuracy
100.0%
Counts
1444 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.7%
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (neg.f64 x))
99.8%
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (*.f64 x 1/2))))
✓27.7%
(/.f64 (/.f64 (sin.f64 x) x) x)
25.8%
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) x)
✓50.1%
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
✓50.0%
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))
✓99.8%
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) x)
✓75.0%
(/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x))
27.5%
(/.f64 (sin.f64 x) (*.f64 x x))
✓25.8%
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))
6.2%
(/.f64 1 x)
✓50.8%
(/.f64 -1 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))))
76.3%
(/.f64 -1 (*.f64 x (-.f64 (*.f64 x -1/6) (/.f64 2 x))))
51.1%
(+.f64 (*.f64 (/.f64 (/.f64 -1 x) (neg.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (/.f64 (/.f64 -1 x) (neg.f64 x)) 1))
✓50.6%
(+.f64 1/2 (*.f64 (pow.f64 x 2) -1/24))
✓51.0%
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
75.1%
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))
51.0%
(*.f64 (/.f64 (/.f64 -1 x) (neg.f64 x)) (-.f64 1 (cos.f64 x)))
✓51.7%
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
51.7%
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x))
51.9%
1/2
25.1%
0
Compiler

Compiled 560 to 346 computations (38.2% saved)

regimes36.0ms (0.3%)

Counts
35 → 1
Calls
Call 1
Inputs
0
1/2
(/.f64 1 x)
(/.f64 (+.f64 -1 1) (*.f64 x x))
(/.f64 -1 (*.f64 x (-.f64 (*.f64 x -1/6) (/.f64 2 x))))
(*.f64 1/2 (/.f64 (sin.f64 x) x))
(/.f64 (sin.f64 x) (*.f64 x x))
(/.f64 (/.f64 (sin.f64 x) x) x)
(+.f64 1/2 (*.f64 (pow.f64 x 2) -1/24))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) x)
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (neg.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 -1 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))))
(*.f64 (/.f64 (/.f64 -1 x) (neg.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x))
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))
(+.f64 (*.f64 (/.f64 (/.f64 -1 x) (neg.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (/.f64 (/.f64 -1 x) (neg.f64 x)) 1))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.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 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) x)
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 x (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 x) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (*.f64 x 1/2))))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) (*.f64 x x))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) x) 2)
(/.f64 (log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (*.f64 x x))
(*.f64 (*.f64 (sin.f64 x) (pow.f64 x -2)) (tan.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 x -2) (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cos.f64 (*.f64 x 1/2))) (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (pow.f64 x -2)) 3))
(*.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 2)) (pow.f64 x -2)) (/.f64 (+.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
Outputs
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) x)
Calls

2 calls:

18.0ms
x
6.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 357 to 201 computations (43.7% saved)

regimes23.0ms (0.2%)

Counts
23 → 1
Calls
Call 1
Inputs
0
1/2
(/.f64 1 x)
(/.f64 (+.f64 -1 1) (*.f64 x x))
(/.f64 -1 (*.f64 x (-.f64 (*.f64 x -1/6) (/.f64 2 x))))
(*.f64 1/2 (/.f64 (sin.f64 x) x))
(/.f64 (sin.f64 x) (*.f64 x x))
(/.f64 (/.f64 (sin.f64 x) x) x)
(+.f64 1/2 (*.f64 (pow.f64 x 2) -1/24))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) x)
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (neg.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 -1 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))))
(*.f64 (/.f64 (/.f64 -1 x) (neg.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x))
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))
(+.f64 (*.f64 (/.f64 (/.f64 -1 x) (neg.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (/.f64 (/.f64 -1 x) (neg.f64 x)) 1))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
(*.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))
Outputs
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
Calls

2 calls:

12.0ms
x
6.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 203 to 111 computations (45.3% saved)

regimes74.0ms (0.7%)

Counts
21 → 2
Calls
Call 1
Inputs
0
1/2
(/.f64 1 x)
(/.f64 (+.f64 -1 1) (*.f64 x x))
(/.f64 -1 (*.f64 x (-.f64 (*.f64 x -1/6) (/.f64 2 x))))
(*.f64 1/2 (/.f64 (sin.f64 x) x))
(/.f64 (sin.f64 x) (*.f64 x x))
(/.f64 (/.f64 (sin.f64 x) x) x)
(+.f64 1/2 (*.f64 (pow.f64 x 2) -1/24))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) x)
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (neg.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 -1 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))))
(*.f64 (/.f64 (/.f64 -1 x) (neg.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x))
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))
(+.f64 (*.f64 (/.f64 (/.f64 -1 x) (neg.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (/.f64 (/.f64 -1 x) (neg.f64 x)) 1))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
Outputs
(+.f64 1/2 (*.f64 (pow.f64 x 2) -1/24))
(*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x)))
Calls

2 calls:

24.0ms
x
11.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Results
AccuracySegmentsBranch
99.7%2x
98.7%3(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Compiler

Compiled 181 to 101 computations (44.2% saved)

regimes25.0ms (0.2%)

Counts
20 → 2
Calls
Call 1
Inputs
0
1/2
(/.f64 1 x)
(/.f64 (+.f64 -1 1) (*.f64 x x))
(/.f64 -1 (*.f64 x (-.f64 (*.f64 x -1/6) (/.f64 2 x))))
(*.f64 1/2 (/.f64 (sin.f64 x) x))
(/.f64 (sin.f64 x) (*.f64 x x))
(/.f64 (/.f64 (sin.f64 x) x) x)
(+.f64 1/2 (*.f64 (pow.f64 x 2) -1/24))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) x)
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (neg.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
(/.f64 -1 (*.f64 x (/.f64 x (+.f64 -1 (cos.f64 x)))))
(*.f64 (/.f64 (/.f64 -1 x) (neg.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 (/.f64 1 x) (/.f64 (cos.f64 x) x)) (/.f64 1 x))
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1) (*.f64 x x))
(+.f64 (*.f64 (/.f64 (/.f64 -1 x) (neg.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (/.f64 (/.f64 -1 x) (neg.f64 x)) 1))
Outputs
(+.f64 1/2 (*.f64 (pow.f64 x 2) -1/24))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x))
Calls

1 calls:

21.0ms
x
Results
AccuracySegmentsBranch
99.7%2x
Compiler

Compiled 164 to 90 computations (45.1% saved)

regimes21.0ms (0.2%)

Counts
14 → 2
Calls
Call 1
Inputs
0
1/2
(/.f64 1 x)
(/.f64 (+.f64 -1 1) (*.f64 x x))
(/.f64 -1 (*.f64 x (-.f64 (*.f64 x -1/6) (/.f64 2 x))))
(*.f64 1/2 (/.f64 (sin.f64 x) x))
(/.f64 (sin.f64 x) (*.f64 x x))
(/.f64 (/.f64 (sin.f64 x) x) x)
(+.f64 1/2 (*.f64 (pow.f64 x 2) -1/24))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) x)
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (neg.f64 x))
Outputs
(+.f64 1/2 (*.f64 (pow.f64 x 2) -1/24))
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (neg.f64 x))
Calls

1 calls:

17.0ms
x
Results
AccuracySegmentsBranch
99.7%2x
Compiler

Compiled 90 to 47 computations (47.8% saved)

regimes19.0ms (0.2%)

Counts
13 → 2
Calls
Call 1
Inputs
0
1/2
(/.f64 1 x)
(/.f64 (+.f64 -1 1) (*.f64 x x))
(/.f64 -1 (*.f64 x (-.f64 (*.f64 x -1/6) (/.f64 2 x))))
(*.f64 1/2 (/.f64 (sin.f64 x) x))
(/.f64 (sin.f64 x) (*.f64 x x))
(/.f64 (/.f64 (sin.f64 x) x) x)
(+.f64 1/2 (*.f64 (pow.f64 x 2) -1/24))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) x)
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 1 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Outputs
(+.f64 1/2 (*.f64 (pow.f64 x 2) -1/24))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
Calls

1 calls:

16.0ms
x
Results
AccuracySegmentsBranch
98.8%2x
Compiler

Compiled 81 to 42 computations (48.1% saved)

regimes10.0ms (0.1%)

Counts
12 → 1
Calls
Call 1
Inputs
0
1/2
(/.f64 1 x)
(/.f64 (+.f64 -1 1) (*.f64 x x))
(/.f64 -1 (*.f64 x (-.f64 (*.f64 x -1/6) (/.f64 2 x))))
(*.f64 1/2 (/.f64 (sin.f64 x) x))
(/.f64 (sin.f64 x) (*.f64 x x))
(/.f64 (/.f64 (sin.f64 x) x) x)
(+.f64 1/2 (*.f64 (pow.f64 x 2) -1/24))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) x)
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 1 x))
Outputs
(/.f64 -1 (*.f64 x (-.f64 (*.f64 x -1/6) (/.f64 2 x))))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
76.3%1x
Compiler

Compiled 73 to 38 computations (47.9% saved)

regimes10.0ms (0.1%)

Counts
4 → 2
Calls
Call 1
Inputs
0
1/2
(/.f64 1 x)
(/.f64 (+.f64 -1 1) (*.f64 x x))
Outputs
1/2
0
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
73.8%2x
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
0
Outputs
0
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
25.1%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch15.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
4.4964695861648666e-7
0.02629499186794604
Results
13.0ms128×body256valid
Compiler

Compiled 165 to 137 computations (17% saved)

bsearch14.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
4.4964695861648666e-7
0.02629499186794604
Results
12.0ms128×body256valid
Compiler

Compiled 181 to 145 computations (19.9% saved)

bsearch24.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
24.0ms
4.4964695861648666e-7
0.02629499186794604
Results
22.0ms128×body256valid
Compiler

Compiled 173 to 137 computations (20.8% saved)

bsearch18.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
4.4964695861648666e-7
0.02629499186794604
Results
12.0ms128×body256valid
Compiler

Compiled 165 to 129 computations (21.8% saved)

bsearch18.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
1.2599632502629161e+76
1.176152029900876e+80
Results
16.0ms128×body256valid
Compiler

Compiled 61 to 57 computations (6.6% saved)

simplify14.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
12×*-commutative
8×+-commutative
6×sub-neg
4×neg-mul-1
4×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055416
175416
285416
392416
496416
597416
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) x)
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(if (<=.f64 x 208967022709991/36028797018963968) (+.f64 1/2 (*.f64 (pow.f64 x 2) -1/24)) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))
(if (<=.f64 x 208967022709991/36028797018963968) (+.f64 1/2 (*.f64 (pow.f64 x 2) -1/24)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)))
(if (<=.f64 x 208967022709991/36028797018963968) (+.f64 1/2 (*.f64 (pow.f64 x 2) -1/24)) (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (neg.f64 x)))
(if (<=.f64 x 208967022709991/36028797018963968) (+.f64 1/2 (*.f64 (pow.f64 x 2) -1/24)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 -1 (*.f64 x (-.f64 (*.f64 x -1/6) (/.f64 2 x))))
(if (<=.f64 x 77999999999999997885713531348261636003101358553174350881443156754152139259904) 1/2 0)
0
Outputs
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) x)) x)
(*.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) x) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (*.f64 x 1/2)) x))
(if (<=.f64 x 208967022709991/36028797018963968) (+.f64 1/2 (*.f64 (pow.f64 x 2) -1/24)) (*.f64 (pow.f64 x -2) (-.f64 1 (cos.f64 x))))
(if (<=.f64 x 208967022709991/36028797018963968) (+.f64 1/2 (*.f64 (pow.f64 x 2) -1/24)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) (/.f64 1 x)))
(if (<=.f64 x 208967022709991/36028797018963968) (+.f64 1/2 (*.f64 (pow.f64 x 2) -1/24)) (/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) x) (neg.f64 x)))
(if (<=.f64 x 208967022709991/36028797018963968) (+.f64 1/2 (*.f64 (pow.f64 x 2) -1/24)) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) x) (neg.f64 x)))
(if (<=.f64 x 208967022709991/36028797018963968) (+.f64 1/2 (*.f64 (pow.f64 x 2) -1/24)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))
(/.f64 -1 (*.f64 x (-.f64 (*.f64 x -1/6) (/.f64 2 x))))
(if (<=.f64 x 77999999999999997885713531348261636003101358553174350881443156754152139259904) 1/2 0)
0
Compiler

Compiled 128 to 97 computations (24.2% saved)

soundness1.9s (17.7%)

Rules
760×associate-*r/
760×associate-*r/
760×associate-*r/
760×associate-*r/
752×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01143
113143
2184243
03426631
19546403
246226345
030288
1513280
25812232
028288
1437281
25938281
01143
113143
2184243
01143
113143
2184243
028288
1437281
25938281
077915073
1212014327
03426631
19546403
246226345
028288
1437281
25938281
01143
113143
2184243
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 603 to 339 computations (43.8% saved)

end0.0ms (0%)

preprocess90.0ms (0.8%)

Remove

(abs x)

Compiler

Compiled 378 to 260 computations (31.2% saved)

Profiling

Loading profile data...