Details

Time bar (total: 13.9s)

analyze541.0ms (3.9%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
6.3%6.2%93.7%0.1%0%0%0%7
15.6%15.6%84.3%0.1%0%0%0%8
28.1%28.1%71.8%0.1%0%0%0%9
30.5%30.4%69.5%0.1%0%0%0%10
38.3%38.2%61.7%0.1%0%0%0%11
39.6%39.6%60.3%0.1%0%0%0%12
Compiler

Compiled 16 to 12 computations (25% saved)

sample3.3s (23.8%)

Results
1.1s4912×body256valid
966.0ms1390×body1024valid
855.0ms1113×body2048valid
342.0ms839×body512valid
5.0msbody4096valid
Bogosity

preprocess5.0ms (0%)

Algorithm
egg-herbie
Rules
associate-/r*
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01678
12278
22678
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (tan.f64 (/.f64 y (*.f64 x 2))) (sin.f64 (/.f64 y (*.f64 x 2))))
Outputs
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (tan.f64 (/.f64 y (*.f64 x 2))) (sin.f64 (/.f64 y (*.f64 x 2))))
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify14.0ms (0.1%)

Algorithm
egg-herbie
Rules
associate-/r*
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01139
11439
21639
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
Outputs
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))

eval0.0ms (0%)

Compiler

Compiled 15 to 11 computations (26.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
37.7b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
37.7b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
8.9b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
28.0b
(sin.f64 (/.f64 x (*.f64 y 2)))
28.6b
(tan.f64 (/.f64 x (*.f64 y 2)))
Compiler

Compiled 38 to 25 computations (34.2% saved)

series14.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
5.0ms
y
@-inf
(tan.f64 (/.f64 x (*.f64 y 2)))
2.0ms
y
@-inf
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
1.0ms
y
@inf
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
1.0ms
y
@inf
(tan.f64 (/.f64 x (*.f64 y 2)))
1.0ms
x
@0
(tan.f64 (/.f64 x (*.f64 y 2)))

rewrite81.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1742×associate-*r/
1568×associate-/l*
1444×associate-*l/
238×add-sqr-sqrt
234×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01173
123173
2306073
Stop Event
node limit
Counts
3 → 115
Calls
Call 1
Inputs
(tan.f64 (/.f64 x (*.f64 y 2)))
(sin.f64 (/.f64 x (*.f64 y 2)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
Outputs
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simplify123.0ms (0.9%)

Algorithm
egg-herbie
Rules
1234×+-commutative
1168×associate-+r+
1146×times-frac
690×associate-/l*
672×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04759413
113009211
269699211
Stop Event
node limit
Counts
187 → 208
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y)))
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 1/2 (/.f64 x y))))
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x y))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(-.f64 (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (pow.f64 x 2)) (pow.f64 y 7))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/384 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 4)) (pow.f64 y 7))) (*.f64 -1/92160 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))))))
(*.f64 1/2 (/.f64 x y))
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(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
1
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(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1)
(*.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(*.f64 1 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
(*.f64 (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (/.f64 1 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)
(pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
(neg.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
Outputs
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y)))
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 1/2 (/.f64 x y))))
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 1/2 (/.f64 x y))))
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 1/2 (/.f64 x y) (*.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/2 (/.f64 x y)))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x y))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(-.f64 (fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840))) (fma.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 3) 1/24) (/.f64 (pow.f64 y 5) (*.f64 x x))) (fma.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/16))))
(-.f64 (fma.f64 1/2 (/.f64 x y) (fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/48 (*.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840))) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 1/24 (pow.f64 x 3)) (pow.f64 y 5)) (*.f64 x x)) (fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/16 (*.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/768))))
(-.f64 (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (pow.f64 x 2)) (pow.f64 y 7))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/384 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 4)) (pow.f64 y 7))) (*.f64 -1/92160 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))))))
(-.f64 (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (fma.f64 1/2 (/.f64 x y) (*.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840)))) (fma.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 3) 1/24) (/.f64 (pow.f64 y 5) (*.f64 x x))) (fma.f64 -1/8 (/.f64 (-.f64 (*.f64 (pow.f64 x 5) 1/3840) (fma.f64 -1/8 (*.f64 (*.f64 (pow.f64 x 3) 1/24) (*.f64 x x)) (*.f64 (pow.f64 x 5) 1/768))) (/.f64 (pow.f64 y 7) (*.f64 x x))) (fma.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/384 (/.f64 (*.f64 (pow.f64 x 3) 1/24) (/.f64 (pow.f64 y 7) (pow.f64 x 4))) (*.f64 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) -1/92160)))))))
(-.f64 (fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/48 (fma.f64 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) -1/645120 (fma.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840 (*.f64 1/2 (/.f64 x y))))) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 1/24 (pow.f64 x 3)) (pow.f64 y 5)) (*.f64 x x)) (fma.f64 -1/8 (/.f64 (*.f64 x x) (/.f64 (pow.f64 y 7) (-.f64 (*.f64 (pow.f64 x 5) 1/3840) (fma.f64 (pow.f64 x 5) 1/768 (*.f64 -1/8 (*.f64 (pow.f64 x 3) (*.f64 1/24 (*.f64 x x)))))))) (fma.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/768 (fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/16 (fma.f64 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) -1/92160 (/.f64 (*.f64 (pow.f64 x 3) (*.f64 1/24 (pow.f64 x 4))) (/.f64 (pow.f64 y 7) 1/384))))))))
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y)))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 3) -1/24) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y)))
(-.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 (pow.f64 x 3) (/.f64 (pow.f64 y 3) -1/24)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 y 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))))
(fma.f64 -1 (/.f64 (-.f64 (*.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/24))))) (pow.f64 y 5)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 3) -1/24) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y))))
(-.f64 (-.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 (pow.f64 x 3) (/.f64 (pow.f64 y 3) -1/24))) (/.f64 (+.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 1/8 (*.f64 (pow.f64 x 3) (*.f64 (*.f64 x x) -1/24)))) (pow.f64 y 5)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 y 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/645120 (pow.f64 x 7)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 x 2))) (+.f64 (*.f64 1/92160 (pow.f64 x 7)) (*.f64 1/384 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 4)))))) (pow.f64 y 7))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y)))))
(fma.f64 -1 (/.f64 (-.f64 (*.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/24))))) (pow.f64 y 5)) (fma.f64 -1 (/.f64 (-.f64 (*.f64 (pow.f64 x 7) 1/645120) (fma.f64 -1/8 (*.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/24)))))) (fma.f64 1/92160 (pow.f64 x 7) (*.f64 1/384 (*.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 3) -1/24)))))) (pow.f64 y 7)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 3) -1/24) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y)))))
(-.f64 (-.f64 (-.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 (pow.f64 x 3) (/.f64 (pow.f64 y 3) -1/24))) (/.f64 (-.f64 (*.f64 (pow.f64 x 7) 1/645120) (fma.f64 (*.f64 -1/8 (+.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 1/8 (*.f64 (pow.f64 x 3) (*.f64 (*.f64 x x) -1/24))))) (*.f64 x x) (fma.f64 (pow.f64 x 7) 1/92160 (*.f64 1/384 (*.f64 (pow.f64 x 3) (*.f64 -1/24 (pow.f64 x 4))))))) (pow.f64 y 7))) (/.f64 (+.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 1/8 (*.f64 (pow.f64 x 3) (*.f64 (*.f64 x x) -1/24)))) (pow.f64 y 5)))
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 1/2 (/.f64 x y) (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/48))
(fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/48 (*.f64 1/2 (/.f64 x y)))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 1 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3) 1/3)
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(neg.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(fabs.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))

eval143.0ms (1%)

Compiler

Compiled 8186 to 5947 computations (27.4% saved)

prune88.0ms (0.6%)

Pruning

47 alts after pruning (46 fresh and 1 done)

PrunedKeptTotal
New16246208
Fresh000
Picked011
Done000
Total16247209
Error
25.8b
Counts
209 → 47
Alt Table
Click to see full alt table
StatusErrorProgram
37.7b
(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
39.3b
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)
37.7b
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)
58.2b
(/.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3) (sin.f64 (/.f64 x (*.f64 y 2))))
38.2b
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (*.f64 y 2))))
38.2b
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
38.4b
(/.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (/.f64 (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))) (sin.f64 (/.f64 x (*.f64 y 2))))
37.7b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
37.7b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
38.4b
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))) (sin.f64 (/.f64 x (*.f64 y 2))))
38.3b
(/.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
38.3b
(/.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
50.6b
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
51.3b
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (/.f64 (sqrt.f64 (neg.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
40.4b
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2))))
38.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
59.9b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
47.4b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
38.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
37.8b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
55.0b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
37.7b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
37.8b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
59.9b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
59.9b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
48.8b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (fabs.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))
51.8b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
37.7b
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (/.f64 x (*.f64 y 2))))
37.7b
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
37.8b
(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
49.4b
(/.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
51.4b
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3)) (sin.f64 (/.f64 x (*.f64 y 2))))
28.7b
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
39.3b
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1)
36.1b
(+.f64 1 (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y))))
38.5b
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
37.7b
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)))
38.3b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
38.2b
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
50.5b
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
38.0b
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
50.9b
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
37.9b
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
37.7b
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
39.3b
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
37.7b
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
28.6b
1
Compiler

Compiled 2062 to 1570 computations (23.9% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
28.6b
(cos.f64 (*.f64 1/2 (/.f64 x y)))
Compiler

Compiled 28 to 15 computations (46.4% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

12 calls:

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

rewrite79.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1020×associate-*r/
958×*-commutative
944×associate-/r*
668×associate-*l/
616×unswap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01140
122340
2268240
Stop Event
node limit
Counts
2 → 98
Calls
Call 1
Inputs
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
Outputs
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simplify75.0ms (0.5%)

Algorithm
egg-herbie
Rules
1068×unswap-sqr
840×associate-/l/
822×associate-/r/
810×*-commutative
480×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02565020
16034664
223324602
Stop Event
node limit
Counts
122 → 156
Calls
Call 1
Inputs
1
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1
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1
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1
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1
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1
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(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) -1)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))
(/.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))
(/.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)))
(/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) 1) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3) 1/3)
(neg.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))
(log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(exp.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)
(*.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(*.f64 -1 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) -1) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) -1))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))))
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) (*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1)
(pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
Outputs
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1)))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)))
(+.f64 1 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8)))
(fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080))))
(+.f64 1 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8))))
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (*.f64 (/.f64 61/46080 (pow.f64 y 6)) (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)))
(+.f64 1 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8)))
(fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(fma.f64 -1 (/.f64 (fma.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 7/23040)) (pow.f64 y 6)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))))
(-.f64 (-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384))) (/.f64 (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 (*.f64 (pow.f64 x 4) -5/384) (*.f64 (*.f64 x x) 1/8))) (pow.f64 y 6)))
(-.f64 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)) (/.f64 (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 1/8 (*.f64 (pow.f64 x 6) -5/384))) (pow.f64 y 6)))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)))
(+.f64 1 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8)))
(fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(fma.f64 -1 (/.f64 (fma.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 7/23040)) (pow.f64 y 6)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))))
(-.f64 (-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384))) (/.f64 (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 (*.f64 (pow.f64 x 4) -5/384) (*.f64 (*.f64 x x) 1/8))) (pow.f64 y 6)))
(-.f64 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)) (/.f64 (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 1/8 (*.f64 (pow.f64 x 6) -5/384))) (pow.f64 y 6)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
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(/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))))
(/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))
(/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)))
(/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))
(/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) 1) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))
(/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))
(/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))
(/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))))
(/.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))))
(/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)))
(/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))
(/.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3) 1/3)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(neg.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))
(sqrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
(log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(exp.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 -1 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) -1) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (/.f64 1 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))))
(/.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))
(/.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (/.f64 1 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))))
(/.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))
(/.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) (*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
15.9b
(/.f64 (*.f64 x x) (*.f64 y y))
Compiler

Compiled 39 to 13 computations (66.7% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite51.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1582×add-sqr-sqrt
1566×*-un-lft-identity
1464×add-cube-cbrt
1444×add-cbrt-cube
152×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0719
114913
2218913
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(/.f64 (*.f64 x x) (*.f64 y y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 y (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (cbrt.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 y x)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 x x)) (/.f64 1 (neg.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 y 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (pow.f64 y 4))) (/.f64 x (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) y) (/.f64 (cbrt.f64 (*.f64 x x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 y 4))) (cbrt.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x x) (neg.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 x y) 2)))))))

simplify53.0ms (0.4%)

Algorithm
egg-herbie
Rules
1718×associate-+r+
1400×associate-+l+
922×associate-*r/
698×associate-*l/
556×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0951319
1229989
2902989
34505989
Stop Event
node limit
Counts
59 → 45
Calls
Call 1
Inputs
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x y) 2))) 1)
(*.f64 x (*.f64 x (pow.f64 y -2)))
(*.f64 x (/.f64 1 (/.f64 y (/.f64 x y))))
(*.f64 (*.f64 x x) (pow.f64 y -2))
(*.f64 (pow.f64 (/.f64 x y) 2) 1)
(*.f64 1 (pow.f64 (/.f64 x y) 2))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (cbrt.f64 (pow.f64 (/.f64 x y) 2)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 y -2)))
(*.f64 (/.f64 x (/.f64 y x)) (/.f64 1 y))
(*.f64 (pow.f64 y -2) (*.f64 x x))
(*.f64 (/.f64 x y) (/.f64 x y))
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 1 (neg.f64 (*.f64 y y))))
(*.f64 (/.f64 x 1) (/.f64 x (*.f64 y y)))
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 y x)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 y 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 x (*.f64 y y)) x)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 y y)))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 y 4))) (/.f64 x (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) y) (/.f64 (cbrt.f64 (*.f64 x x)) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 y 4))) (cbrt.f64 (pow.f64 (/.f64 x y) 2)))
(pow.f64 (pow.f64 (/.f64 x y) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) 3) 1/3)
(pow.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -1)
(pow.f64 (/.f64 x y) 2)
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 (*.f64 y y))))
(sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))
(log.f64 (exp.f64 (pow.f64 (/.f64 x y) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 x y) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 x y) 2)))
(exp.f64 (log.f64 (pow.f64 (/.f64 x y) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x y) 2)))
Outputs
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x y) 2))) 1)
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(*.f64 x (*.f64 x (pow.f64 y -2)))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(*.f64 x (/.f64 1 (/.f64 y (/.f64 x y))))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(*.f64 (*.f64 x x) (pow.f64 y -2))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(*.f64 (pow.f64 (/.f64 x y) 2) 1)
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(*.f64 1 (pow.f64 (/.f64 x y) 2))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (cbrt.f64 (pow.f64 (/.f64 x y) 4)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (cbrt.f64 (pow.f64 (/.f64 x y) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (cbrt.f64 (pow.f64 (/.f64 x y) 4)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 y -2)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 y -2) (cbrt.f64 (*.f64 x x))))
(*.f64 (pow.f64 y -2) (*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x))))
(*.f64 (/.f64 x (/.f64 y x)) (/.f64 1 y))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(*.f64 (pow.f64 y -2) (*.f64 x x))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 1 (neg.f64 (*.f64 y y))))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(*.f64 (/.f64 x 1) (/.f64 x (*.f64 y y)))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 y x)))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 y 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4)))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 y 4))) (/.f64 x (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 x (*.f64 y y)) x)
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 y y)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 y y)))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (*.f64 y y) (cbrt.f64 (*.f64 x x))))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 y 4))) (/.f64 x (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 y 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) y) (/.f64 (cbrt.f64 (*.f64 x x)) y))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 y y)))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (*.f64 y y) (cbrt.f64 (*.f64 x x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 y 4))) (cbrt.f64 (pow.f64 (/.f64 x y) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 y 4))))
(pow.f64 (pow.f64 (/.f64 x y) 2) 1)
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) 3)
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(pow.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) 3) 1/3)
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(pow.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -1)
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(pow.f64 (/.f64 x y) 2)
(/.f64 (*.f64 x x) (*.f64 y y))
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 (*.f64 y y))))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))
(sqrt.f64 (pow.f64 (/.f64 x y) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 x y) 2)))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 x y) 2))))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) 3))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 x y) 2)))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(exp.f64 (log.f64 (pow.f64 (/.f64 x y) 2)))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) 2)) 1))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x y) 2)))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
8.9b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
28.0b
(sin.f64 (/.f64 x (*.f64 y 2)))
28.1b
(sin.f64 (*.f64 x (/.f64 1/2 y)))
28.6b
(cos.f64 (*.f64 x (/.f64 1/2 y)))
Compiler

Compiled 100 to 72 computations (28% saved)

series2.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite89.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1234×associate-/r/
1006×associate-/l/
392×add-sqr-sqrt
378×pow1
378×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01995
141673
2543573
Stop Event
node limit
Counts
3 → 138
Calls
Call 1
Inputs
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
Outputs
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simplify103.0ms (0.7%)

Algorithm
egg-herbie
Rules
1470×distribute-lft-in
968×times-frac
708×associate-*r*
618×associate-/r*
570×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03786444
19656298
261036298
Stop Event
node limit
Counts
210 → 208
Calls
Call 1
Inputs
1
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(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
Outputs
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
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(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
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(cos.f64 (*.f64 1/2 (/.f64 x y)))
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(cos.f64 (*.f64 1/2 (/.f64 x y)))
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(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
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1
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(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
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(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
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(fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 x (/.f64 1/2 y)))
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(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 1/3840 (/.f64 (pow.f64 y 5) (pow.f64 x 5)))))
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(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(*.f64 1/2 (/.f64 x y))
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(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
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1
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1
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1
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(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) (*.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -2))))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3) 1/3)
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(neg.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y))) 2))
(fabs.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
8.9b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
9.3b
(cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))
28.1b
(sin.f64 (*.f64 x (/.f64 1/2 y)))
28.6b
(tan.f64 (/.f64 x (*.f64 y 2)))
Compiler

Compiled 67 to 47 computations (29.9% saved)

series42.0ms (0.3%)

Counts
2 → 36
Calls

12 calls:

TimeVariablePointExpression
34.0ms
x
@-inf
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
1.0ms
x
@inf
(cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))
1.0ms
x
@-inf
(cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))
1.0ms
y
@0
(cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))
1.0ms
y
@inf
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))

rewrite78.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1040×swap-sqr
460×distribute-lft-neg-in
414×associate-/r/
404×distribute-rgt-neg-in
360×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01760
136860
2458260
Stop Event
node limit
Counts
2 → 67
Calls
Call 1
Inputs
(cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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simplify114.0ms (0.8%)

Algorithm
egg-herbie
Rules
1460×associate-*r/
1104×associate-+l+
956×associate--r+
820×+-commutative
692×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03245489
19015323
239015323
Stop Event
node limit
Counts
103 → 117
Calls
Call 1
Inputs
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
1
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(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
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1
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1
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 1 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (/.f64 1 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)
(pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
(neg.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(neg.f64 (*.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(neg.f64 (*.f64 1 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(neg.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
Outputs
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y))))
(fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)))))
(+.f64 1 (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (/.f64 (*.f64 5/384 (pow.f64 x 4)) (pow.f64 y 4)))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x)))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (-.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 x 3) 1/24) (*.f64 x (*.f64 y y)))) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1/24)))
(+.f64 1 (fma.f64 2 (*.f64 (/.f64 (pow.f64 x 3) x) (/.f64 1/24 (*.f64 y y))) (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/24)))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (*.f64 (pow.f64 y 4) x))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(+.f64 1 (-.f64 (*.f64 2 (+.f64 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (fma.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) 1/24)) (*.f64 (pow.f64 x 5) 1/768))) (*.f64 x (pow.f64 y 4))) (/.f64 (*.f64 (pow.f64 x 3) 1/24) (*.f64 x (*.f64 y y))))) (fma.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/24 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 2 (*.f64 (pow.f64 x 3) 1/24)) x) (*.f64 1/24 (*.f64 x x))) (/.f64 (pow.f64 y 4) (*.f64 x x))) (/.f64 (*.f64 x x) (*.f64 y y)))))))
(-.f64 (fma.f64 2 (+.f64 (*.f64 (/.f64 (pow.f64 x 3) x) (/.f64 1/24 (*.f64 y y))) (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (fma.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) 1/24)) (*.f64 (pow.f64 x 5) 1/768))) (*.f64 x (pow.f64 y 4)))) 1) (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/1920 (*.f64 -1/24 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 x x) (/.f64 (pow.f64 y 4) (fma.f64 2 (/.f64 (pow.f64 x 3) (/.f64 x 1/24)) (*.f64 (*.f64 x x) 1/24))))))))
(-.f64 (fma.f64 2 (+.f64 (*.f64 (/.f64 (pow.f64 x 3) x) (/.f64 1/24 (*.f64 y y))) (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (fma.f64 (*.f64 (*.f64 (pow.f64 x 3) 1/24) -1/8) (*.f64 x x) (*.f64 (pow.f64 x 5) 1/768))) (*.f64 x (pow.f64 y 4)))) 1) (fma.f64 -1/24 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (fma.f64 2 (/.f64 (pow.f64 x 3) (/.f64 x 1/24)) (*.f64 (*.f64 x x) 1/24)) (/.f64 (pow.f64 y 4) (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x 4) 1/1920) (pow.f64 y 4))))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/645120 (pow.f64 x 7)) (+.f64 (*.f64 1/384 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 4))) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (pow.f64 x 2))) (*.f64 -1/92160 (pow.f64 x 7))))) (*.f64 (pow.f64 y 6) x))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (*.f64 (pow.f64 y 4) x)))))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) x)) (+.f64 (*.f64 1/1920 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2))))) (pow.f64 x 2)) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 4)) (pow.f64 y 6))) (+.f64 (*.f64 -1/322560 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))))))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))

localize63.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
8.9b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
9.3b
(cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))
28.1b
(sin.f64 (*.f64 x (/.f64 1/2 y)))
28.6b
(tan.f64 (/.f64 x (*.f64 y 2)))
Compiler

Compiled 91 to 65 computations (28.6% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite77.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1066×swap-sqr
472×distribute-lft-neg-in
470×associate-/l/
440×associate-/r/
418×distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01739
136939
2465039
Stop Event
node limit
Counts
1 → 47
Calls
Call 1
Inputs
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))) (/.f64 1 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))) (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))) (neg.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))))))

simplify192.0ms (1.4%)

Algorithm
egg-herbie
Rules
1270×associate-*r/
1078×associate-+l+
950×associate--r+
942×associate-*l/
816×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02894931
18414765
234684765
Stop Event
node limit
Counts
71 → 105
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x)))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (*.f64 (pow.f64 y 4) x))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/645120 (pow.f64 x 7)) (+.f64 (*.f64 1/384 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 4))) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (pow.f64 x 2))) (*.f64 -1/92160 (pow.f64 x 7))))) (*.f64 (pow.f64 y 6) x))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (*.f64 (pow.f64 y 4) x)))))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) x)) (+.f64 (*.f64 1/1920 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2))))) (pow.f64 x 2)) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 4)) (pow.f64 y 6))) (+.f64 (*.f64 -1/322560 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))))))
1
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1)
(*.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(*.f64 1 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))) (/.f64 1 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
(*.f64 (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))) (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 1 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (/.f64 1 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)
(pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
(neg.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(neg.f64 (*.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(neg.f64 (*.f64 1 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))) (neg.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(neg.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
Outputs
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y)))
(fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y))))
(+.f64 1 (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
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(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
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(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
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(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
1
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(/.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2)))
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(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
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(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))))
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(/.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2)))
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(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))) (/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sqrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))
(/.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 (/.f64 1 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 1 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3) 1/3)
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(neg.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(neg.f64 (*.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(neg.f64 (*.f64 1 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))) (neg.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 (neg.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2)))) (neg.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))
(/.f64 (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)) (neg.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 (neg.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2)) (neg.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))
(neg.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y))) 2))
(fabs.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(fabs.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))

eval955.0ms (6.9%)

Compiler

Compiled 35005 to 25839 computations (26.2% saved)

prune447.0ms (3.2%)

Pruning

88 alts after pruning (85 fresh and 3 done)

PrunedKeptTotal
New998671065
Fresh231841
Picked101
Done235
Total1024881112
Error
25.5b
Counts
1112 → 88
Alt Table
Click to see full alt table
StatusErrorProgram
37.7b
(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
28.7b
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)
39.3b
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)
37.7b
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)
37.7b
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
38.2b
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (*.f64 y 2))))
38.2b
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
59.2b
(/.f64 (/.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
38.4b
(/.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (/.f64 (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))) (sin.f64 (/.f64 x (*.f64 y 2))))
37.8b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (/.f64 (*.f64 1 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -2)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
37.8b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 2) -1) (cbrt.f64 (neg.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))) (sin.f64 (/.f64 x (*.f64 y 2))))
54.7b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
48.8b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (fabs.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))
37.8b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
38.7b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 1))) (sin.f64 (/.f64 x (*.f64 y 2))))
38.2b
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
59.2b
(/.f64 (/.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
59.2b
(/.f64 (/.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
49.2b
(/.f64 (/.f64 (fabs.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
38.3b
(/.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
38.3b
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)) (/.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (*.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
40.8b
(/.f64 (*.f64 1/2 (/.f64 x y)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
40.4b
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2))))
51.7b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6) 2) 3))
38.6b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3) 3))
57.8b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1) 3))
38.6b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 3))
50.8b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 3))
38.5b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2))) 3))
38.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 3))
57.8b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (log.f64 (exp.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 3))
49.1b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (fabs.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) 3))
38.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 3))
40.7b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3))
38.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
38.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 3))
59.9b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 3))
49.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (fabs.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3))
51.9b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))) 3))
59.9b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
51.6b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
50.7b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
49.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (fabs.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))
47.7b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))))
40.5b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (*.f64 x (/.f64 1/2 y)))))
38.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))))
38.1b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
37.8b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
55.0b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
37.7b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
59.9b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
38.2b
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
37.7b
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (/.f64 x (*.f64 y 2))))
37.7b
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
54.9b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
37.7b
(/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 (+.f64 0 (sin.f64 (*.f64 x (*.f64 (/.f64 1/2 y) 2)))) 2))
49.4b
(/.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
49.4b
(/.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
51.4b
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3)) (sin.f64 (/.f64 x (*.f64 y 2))))
35.4b
(/.f64 1 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1))
30.9b
(/.f64 1 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1))
28.7b
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3))
28.7b
(/.f64 1 (/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))
28.7b
(/.f64 1 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))))))
28.7b
(/.f64 1 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1))
28.7b
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
29.0b
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
28.7b
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
28.7b
(/.f64 1 (expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
28.7b
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
28.7b
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
28.7b
(/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
39.3b
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1)
30.3b
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)
31.5b
(+.f64 1 (*.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y))))
48.7b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))))
38.0b
(*.f64 (/.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
38.0b
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1) (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
50.7b
(*.f64 (/.f64 1 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
38.0b
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
30.3b
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) (*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))
30.3b
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))
28.9b
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
28.8b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
37.9b
(fabs.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
30.3b
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
28.7b
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
28.6b
1
Compiler

Compiled 3892 to 3032 computations (22.1% saved)

localize42.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
0.2b
(*.f64 x (/.f64 1/2 y))
28.6b
(cos.f64 (*.f64 x (/.f64 1/2 y)))
Compiler

Compiled 28 to 19 computations (32.1% saved)

series6.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite73.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
916×*-commutative
910×associate-*r/
638×unswap-sqr
598×associate-*l/
564×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01136
122436
2262936
Stop Event
node limit
Counts
2 → 124
Calls
Call 1
Inputs
(*.f64 x (/.f64 1/2 y))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 x y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (*.f64 y 2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 y (*.f64 1/2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (/.f64 (*.f64 y 2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 y 2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 y (*.f64 1/2 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) (/.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x 1/2)) (/.f64 y (sqrt.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 x 1/2))) (/.f64 y (cbrt.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (sqrt.f64 (/.f64 1/2 y))) (sqrt.f64 (*.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/2) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 2) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 y))) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 x 2)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (*.f64 x 1/2) (sqrt.f64 y))) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) 2)) (sqrt.f64 (*.f64 x 1/2))) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) 2) 2)) (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 1/2) -1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 1/2) (/.f64 1 (sqrt.f64 y))) 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simplify123.0ms (0.9%)

Algorithm
egg-herbie
Rules
990×associate-/l*
824×unswap-sqr
430×associate-/l/
422×times-frac
412×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03563964
18733814
238873800
Stop Event
node limit
Counts
172 → 181
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 x y) 2))) 1)
(/.f64 x (*.f64 y 2))
(/.f64 1/2 (/.f64 y x))
(/.f64 (/.f64 (/.f64 x y) 2) 1)
(/.f64 1 (/.f64 y (/.f64 x 2)))
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 y 2) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 y (*.f64 1/2 (sqrt.f64 x))))
(/.f64 (cbrt.f64 x) (/.f64 (*.f64 y 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 y 2) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 y (*.f64 1/2 (cbrt.f64 x))))
(/.f64 (*.f64 x 1/2) y)
(/.f64 (*.f64 x 1/2) (/.f64 y 1))
(/.f64 -1/2 (/.f64 (neg.f64 y) x))
(/.f64 (sqrt.f64 (*.f64 x 1/2)) (/.f64 y (sqrt.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 x 1/2))) (/.f64 y (cbrt.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 x (sqrt.f64 (/.f64 1/2 y))) (sqrt.f64 (*.f64 y 2)))
(/.f64 (/.f64 x y) 2)
(/.f64 (*.f64 x -1/2) (neg.f64 y))
(/.f64 (/.f64 x 2) y)
(/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 x 1) (*.f64 y 2))
(/.f64 (*.f64 x -1) (*.f64 y -2))
(/.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 x (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (*.f64 1 (/.f64 x 2)) y)
(/.f64 (*.f64 1 (/.f64 (*.f64 x 1/2) (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 1 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) 2)) (sqrt.f64 (*.f64 x 1/2))) (sqrt.f64 y))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) 2) 2)) (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 y))
(/.f64 (*.f64 (*.f64 x 1/2) -1) (neg.f64 y))
(/.f64 (*.f64 (*.f64 x 1/2) (/.f64 1 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 (*.f64 x 1/2) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 1/2 y))) 1) (sqrt.f64 (*.f64 y 2)))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 1/2 y))) (sqrt.f64 1/2)) (sqrt.f64 y))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 1/2 y))) (sqrt.f64 -1/2)) (sqrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (*.f64 x (cbrt.f64 (/.f64 (/.f64 1/4 y) y))) 1) (cbrt.f64 (*.f64 y 2)))
(/.f64 (*.f64 (*.f64 x (cbrt.f64 (/.f64 (/.f64 1/4 y) y))) (cbrt.f64 1/2)) (cbrt.f64 y))
(/.f64 (*.f64 (*.f64 x (cbrt.f64 (/.f64 (/.f64 1/4 y) y))) (cbrt.f64 -1/2)) (cbrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (/.f64 x 1) 1/2) y)
(/.f64 (*.f64 (/.f64 x 1) 1) (*.f64 y 2))
(/.f64 (*.f64 (/.f64 x 1) -1/2) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x 1) -1) (*.f64 y -2))
(/.f64 (*.f64 (/.f64 x 1) (/.f64 1/2 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 x 1) (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (*.f64 (/.f64 x (sqrt.f64 y)) 1/2) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) 1/2) (cbrt.f64 y))
(/.f64 (*.f64 -1 x) (*.f64 y -2))
(/.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) x) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) x) (cbrt.f64 y))
(/.f64 (*.f64 (*.f64 x -1/2) 1) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x 2) 1) y)
(/.f64 (*.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) 1) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) 1) (cbrt.f64 y))
(/.f64 (*.f64 1 (*.f64 x (sqrt.f64 (/.f64 1/2 y)))) (sqrt.f64 (*.f64 y 2)))
(/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 x (sqrt.f64 (/.f64 1/2 y)))) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 -1/2) (*.f64 x (sqrt.f64 (/.f64 1/2 y)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 (/.f64 x y) 2))) (sqrt.f64 y))
(/.f64 (*.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) 2) 2))) (cbrt.f64 y))
(/.f64 (*.f64 x (/.f64 1/2 (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (*.f64 x 1/2) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 x (*.f64 (cbrt.f64 (*.f64 y 2)) (cbrt.f64 (*.f64 y 2)))) (cbrt.f64 (*.f64 y 2)))
(/.f64 (/.f64 (*.f64 x -1/2) 1) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 y) 2)) (neg.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (*.f64 x -1/2) -1) y)
(/.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (*.f64 x -1/2) (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (*.f64 x -1/2) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 x -1/2) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 x 2) 1) y)
(/.f64 (/.f64 (/.f64 x 2) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) 1) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) 1) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
(pow.f64 (/.f64 (/.f64 x y) 2) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 x y) 2)) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) 2)) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 x y) 2) 3) 1/3)
(neg.f64 (/.f64 (*.f64 x 1/2) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 x y) 2) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 x y) 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 x y) 2))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) 2) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 x y) 2)))
(exp.f64 (log.f64 (/.f64 (/.f64 x y) 2)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 x y) 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2))))) 1)
(*.f64 1 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2))))
(*.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2))) 1)
(*.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -1/2) (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))))
(*.f64 -1 (/.f64 -1 (cos.f64 (/.f64 (/.f64 x y) 2))))
(*.f64 (/.f64 -1 (cos.f64 (/.f64 (/.f64 x y) 2))) -1)
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))) -1) (pow.f64 (sqrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))) -1))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))) -1) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))) 2) -1))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))))) (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))))) (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -2)))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -2)))))
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))))) (*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -2))) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -2))) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -1/2))))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))) 3/2) (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))) 3/2))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) 3)) 1/6) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) 3)) 1/6))
(pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -1)
(pow.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2))) 1)
(pow.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -1/2) 2)
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))) -2)
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))) 3)
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) 3)) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -2))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2))))))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2)))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2)))))
Outputs
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y))))
(fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)))))
(+.f64 1 (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 61/46080 (pow.f64 (/.f64 x y) 6)))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y))))
(fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)))))
(+.f64 1 (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
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(*.f64 (/.f64 1/2 (cbrt.f64 (cbrt.f64 y))) (/.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))
(/.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
(*.f64 1/2 (/.f64 x y))
(pow.f64 (/.f64 (/.f64 x y) 2) 1)
(*.f64 1/2 (/.f64 x y))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 x y) 2)) 2)
(*.f64 1/2 (/.f64 x y))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) 2)) 3)
(*.f64 1/2 (/.f64 x y))
(pow.f64 (pow.f64 (/.f64 (/.f64 x y) 2) 3) 1/3)
(*.f64 1/2 (/.f64 x y))
(neg.f64 (/.f64 (*.f64 x 1/2) (neg.f64 y)))
(*.f64 1/2 (/.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 x y) 2) 2))
(*.f64 1/2 (/.f64 x y))
(log.f64 (exp.f64 (/.f64 (/.f64 x y) 2)))
(*.f64 1/2 (/.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 x y) 2))))
(*.f64 1/2 (/.f64 x y))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) 2) 3))
(*.f64 1/2 (/.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 y) 3) (pow.f64 x 3)))
(*.f64 1/2 (/.f64 x y))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 x y) 2)))
(*.f64 1/2 (/.f64 x y))
(exp.f64 (log.f64 (/.f64 (/.f64 x y) 2)))
(*.f64 1/2 (/.f64 x y))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 x y) 2)))
(*.f64 1/2 (/.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2))))) 1)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2))) 1)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -1/2) (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -1/2))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) 1) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) 1) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 -1 (/.f64 -1 (cos.f64 (/.f64 (/.f64 x y) 2))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 -1 (cos.f64 (/.f64 (/.f64 x y) 2))) -1)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))) -1) (pow.f64 (sqrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))) -1))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))) -1))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))) -1) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))) 2) -1))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))))) (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))))) (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -2)))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -2)))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))))) (*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -2))) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -2))) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -1/2))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))) 3/2) (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))) 3/2))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) 3)) 1/6) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) 3)) 1/6))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -1)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2))) 1)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -1/2) 2)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))) -2)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -2)
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))) 3)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -2))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2)))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2)))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2)))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (/.f64 x y) (/.f64 x y))
Compiler

Compiled 36 to 12 computations (66.7% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite51.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1378×add-sqr-sqrt
1364×*-un-lft-identity
1274×add-cube-cbrt
1258×add-cbrt-cube
1248×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
112913
2176113
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(*.f64 (/.f64 x y) (/.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 x y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 y y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (/.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 y x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y y) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (/.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (/.f64 y x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (*.f64 (/.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 x)) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x (/.f64 y x)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x (/.f64 y x)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x (/.f64 y x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 y) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x (/.f64 y x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 x y) 2)))))))

simplify57.0ms (0.4%)

Algorithm
egg-herbie
Rules
1180×associate-+l+
1136×associate-+r+
1128×associate-*r/
894×associate-/r*
804×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094767
1226767
21139767
36050767
Stop Event
node limit
Counts
59 → 36
Calls
Call 1
Inputs
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(-.f64 (+.f64 1 (pow.f64 (/.f64 x y) 2)) 1)
(/.f64 x (/.f64 (*.f64 y y) x))
(/.f64 x (/.f64 y (/.f64 x y)))
(/.f64 x (*.f64 y (/.f64 y x)))
(/.f64 x (*.f64 (/.f64 y x) y))
(/.f64 (/.f64 x y) (/.f64 y x))
(/.f64 1 (*.f64 (/.f64 y x) (/.f64 y x)))
(/.f64 1 (/.f64 (*.f64 y y) (*.f64 x x)))
(/.f64 1 (/.f64 y (/.f64 x (/.f64 y x))))
(/.f64 (*.f64 x x) (*.f64 y y))
(/.f64 (/.f64 x (/.f64 y x)) y)
(/.f64 (neg.f64 x) (*.f64 (/.f64 y x) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 x (neg.f64 x)) (*.f64 y (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) y))
(/.f64 (/.f64 (/.f64 x (/.f64 y x)) 1) y)
(/.f64 (/.f64 (/.f64 x (/.f64 y x)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 x (/.f64 y x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 y) (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 y y)))
(/.f64 (neg.f64 (/.f64 x (/.f64 y x))) (neg.f64 y))
(pow.f64 (/.f64 x y) 2)
(pow.f64 (pow.f64 (/.f64 x y) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 x y) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 x y) 2)))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 x y) 2)))
(exp.f64 (log.f64 (pow.f64 (/.f64 x y) 2)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x y) 2)))
Outputs
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(/.f64 (pow.f64 x 2) (pow.f64 y 2))
(pow.f64 (/.f64 x y) 2)
(-.f64 (+.f64 1 (pow.f64 (/.f64 x y) 2)) 1)
(pow.f64 (/.f64 x y) 2)
(/.f64 x (/.f64 (*.f64 y y) x))
(pow.f64 (/.f64 x y) 2)
(/.f64 x (/.f64 y (/.f64 x y)))
(pow.f64 (/.f64 x y) 2)
(/.f64 x (*.f64 y (/.f64 y x)))
(pow.f64 (/.f64 x y) 2)
(/.f64 x (*.f64 (/.f64 y x) y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (/.f64 x y) (/.f64 y x))
(pow.f64 (/.f64 x y) 2)
(/.f64 1 (*.f64 (/.f64 y x) (/.f64 y x)))
(pow.f64 (/.f64 x y) 2)
(/.f64 1 (/.f64 (*.f64 y y) (*.f64 x x)))
(pow.f64 (/.f64 x y) 2)
(/.f64 1 (/.f64 y (/.f64 x (/.f64 y x))))
(pow.f64 (/.f64 x y) 2)
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (/.f64 x (/.f64 y x)) y)
(pow.f64 (/.f64 x y) 2)
(/.f64 (neg.f64 x) (*.f64 (/.f64 y x) (neg.f64 y)))
(pow.f64 (/.f64 x y) 2)
(/.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 y) (neg.f64 y)))
(pow.f64 (/.f64 x y) 2)
(/.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (neg.f64 y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (*.f64 x (neg.f64 x)) (*.f64 y (neg.f64 y)))
(pow.f64 (/.f64 x y) 2)
(/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (/.f64 (/.f64 x (/.f64 y x)) 1) y)
(pow.f64 (/.f64 x y) 2)
(/.f64 (/.f64 (/.f64 x (/.f64 y x)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (/.f64 (/.f64 x (/.f64 y x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(pow.f64 (/.f64 x y) 2)
(/.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 y) (/.f64 y x)))
(pow.f64 (/.f64 x y) 2)
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 y y)))
(pow.f64 (/.f64 x y) 2)
(/.f64 (neg.f64 (/.f64 x (/.f64 y x))) (neg.f64 y))
(pow.f64 (/.f64 x y) 2)
(pow.f64 (/.f64 x y) 2)
(pow.f64 (pow.f64 (/.f64 x y) 2) 1)
(pow.f64 (/.f64 x y) 2)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 3)
(pow.f64 (/.f64 x y) 2)
(pow.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) 3) 1/3)
(pow.f64 (/.f64 x y) 2)
(sqrt.f64 (pow.f64 (/.f64 x y) 4))
(pow.f64 (/.f64 x y) 2)
(log.f64 (exp.f64 (pow.f64 (/.f64 x y) 2)))
(pow.f64 (/.f64 x y) 2)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) 3))
(pow.f64 (/.f64 x y) 2)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 x y) 2)))
(pow.f64 (/.f64 x y) 2)
(exp.f64 (log.f64 (pow.f64 (/.f64 x y) 2)))
(pow.f64 (/.f64 x y) 2)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) 2))
(pow.f64 (/.f64 x y) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) 2)) 1))
(pow.f64 (/.f64 x y) 2)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x y) 2)))
(pow.f64 (/.f64 x y) 2)

localize57.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
0.1b
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)
0.1b
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
28.6b
(cos.f64 (*.f64 1/2 (/.f64 x y)))
Compiler

Compiled 59 to 37 computations (37.3% saved)

series79.0ms (0.6%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
33.0ms
x
@inf
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)
29.0ms
x
@-inf
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)
14.0ms
y
@0
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)
1.0ms
y
@inf
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)
1.0ms
x
@0
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)

rewrite123.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1830×associate-*r/
1518×associate-*l/
1076×associate-/r*
716×associate-/l*
274×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01454
129252
2340352
Stop Event
node limit
Counts
2 → 143
Calls
Call 1
Inputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)
(exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (/.f64 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egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))))))

simplify138.0ms (1%)

Algorithm
egg-herbie
Rules
1330×associate-*r/
962×associate-*l/
936×associate--r+
886×associate-/l/
712×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041712079
198611941
2390211581
Stop Event
node limit
Counts
191 → 271
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 (+.f64 (*.f64 1/512 (pow.f64 x 4)) (*.f64 1/24 (+.f64 (*.f64 -12 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))) (*.f64 -3/64 (pow.f64 x 4))))) (pow.f64 y 4)))))
(+.f64 1 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/720 (+.f64 (*.f64 -360 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/46080 (pow.f64 x 6))))) (+.f64 (*.f64 45/2 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (*.f64 15/256 (pow.f64 x 6))))) (+.f64 (*.f64 1/384 (*.f64 (+.f64 (*.f64 -12 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))) (*.f64 -3/64 (pow.f64 x 4))) (pow.f64 x 2))) (*.f64 1/24576 (pow.f64 x 6)))) (pow.f64 y 6))) (*.f64 2 (/.f64 (+.f64 (*.f64 1/512 (pow.f64 x 4)) (*.f64 1/24 (+.f64 (*.f64 -12 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))) (*.f64 -3/64 (pow.f64 x 4))))) (pow.f64 y 4))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 (+.f64 (*.f64 1/512 (pow.f64 x 4)) (*.f64 1/24 (+.f64 (*.f64 -12 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))) (*.f64 -3/64 (pow.f64 x 4))))) (pow.f64 y 4)))))
(+.f64 1 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/720 (+.f64 (*.f64 -360 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/46080 (pow.f64 x 6))))) (+.f64 (*.f64 45/2 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (*.f64 15/256 (pow.f64 x 6))))) (+.f64 (*.f64 1/384 (*.f64 (+.f64 (*.f64 -12 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))) (*.f64 -3/64 (pow.f64 x 4))) (pow.f64 x 2))) (*.f64 1/24576 (pow.f64 x 6)))) (pow.f64 y 6))) (*.f64 2 (/.f64 (+.f64 (*.f64 1/512 (pow.f64 x 4)) (*.f64 1/24 (+.f64 (*.f64 -12 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))) (*.f64 -3/64 (pow.f64 x 4))))) (pow.f64 y 4))))))
2
(+.f64 2 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 2 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 2 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
2
(+.f64 2 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
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(+.f64 2 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 1/720 (+.f64 (*.f64 -360 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/46080 (pow.f64 x 6))))) (+.f64 (*.f64 45/2 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (*.f64 15/256 (pow.f64 x 6))))) (+.f64 (*.f64 1/384 (*.f64 (+.f64 (*.f64 -12 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))) (*.f64 -3/64 (pow.f64 x 4))) (pow.f64 x 2))) (*.f64 1/24576 (pow.f64 x 6)))) (pow.f64 y 6))) (*.f64 2 (/.f64 (+.f64 (*.f64 1/512 (pow.f64 x 4)) (*.f64 1/24 (+.f64 (*.f64 -12 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))) (*.f64 -3/64 (pow.f64 x 4))))) (pow.f64 y 4))))))
2
(+.f64 2 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
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(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 2) -1) (sqrt.f64 (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2))) (sqrt.f64 (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 2) -1) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2)) (cbrt.f64 (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2)))) (cbrt.f64 (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2)))
(/.f64 (/.f64 -1 (sqrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) (neg.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2)) (neg.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))
(/.f64 (/.f64 -1 (sqrt.f64 (neg.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) (sqrt.f64 (neg.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))
(/.f64 (/.f64 -1 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) (cbrt.f64 (neg.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))) (cbrt.f64 (neg.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))
(/.f64 (/.f64 -1 (neg.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) (sqrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))))
(/.f64 (/.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2))) (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 3)) 1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 2) (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 2) (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 2) (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 2) (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 2) (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 2) (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -2)) 1) (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -2)) (sqrt.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) (sqrt.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -2)) (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -2)) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))) (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))
(pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -1)
(pow.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 1)
(pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -2))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))
(cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))
(fma.f64 1 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) (sqrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) -1)
(+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))
(+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 1)
(+.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 0)
(+.f64 0 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))
(+.f64 (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2) -1)
(+.f64 -1 (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2))
(-.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 0)
(-.f64 (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 2) (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2)) (-.f64 (/.f64 1 (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2)) 1))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 3) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 2) (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2))) (-.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 2) (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2))) 1))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 2) (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2))) (/.f64 1 (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2)))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 3) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 2) (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 2) (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2))))
(*.f64 1 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))
(*.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 1)
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) (sqrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) 1))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) 1))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -2)) (-.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -2) (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))
(/.f64 (*.f64 1 (-.f64 1 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -2))) (-.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -2) (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -2)) 1) (-.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -2) (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))
(pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) 3)
(pow.f64 (E.f64) (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))) (sqrt.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) 2)) (cbrt.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 3))
(expm1.f64 (log.f64 (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2)))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))
Outputs
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y)))
(fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y))))
(+.f64 1 (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 61/46080 (pow.f64 y 6)) (pow.f64 x 6)))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y)))
(fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 1 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 (+.f64 (*.f64 1/512 (pow.f64 x 4)) (*.f64 1/24 (+.f64 (*.f64 -12 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))) (*.f64 -3/64 (pow.f64 x 4))))) (pow.f64 y 4)))))
(+.f64 1 (fma.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 2 (/.f64 (fma.f64 1/512 (pow.f64 x 4) (*.f64 1/24 (fma.f64 -12 (*.f64 (pow.f64 x 4) -5/384) (*.f64 (pow.f64 x 4) -3/64)))) (pow.f64 y 4)))))
(+.f64 1 (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 2 (/.f64 (fma.f64 (pow.f64 x 4) 1/512 (fma.f64 1/24 (*.f64 (pow.f64 x 4) 5/32) (*.f64 (pow.f64 x 4) -1/512))) (pow.f64 y 4)))))
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(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 3) (+.f64 (+.f64 2 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 2))) (/.f64 1 (+.f64 (+.f64 2 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 2)))) 1)
(+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3) (+.f64 2 (+.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 2)))) (/.f64 -1 (+.f64 2 (+.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 2))))))
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)) (+.f64 2 (+.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 2)))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 2) (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2))) (/.f64 1 (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2)))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 2) (+.f64 2 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) (+.f64 (/.f64 1 (+.f64 2 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) -1))
(+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 2) (+.f64 2 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (+.f64 (/.f64 -1 (+.f64 2 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1))
(+.f64 1 (/.f64 (+.f64 2 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (+.f64 1 (*.f64 2 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 3) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 2) (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 2) (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2))))
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 3) (+.f64 (+.f64 2 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 2))) (/.f64 1 (+.f64 (+.f64 2 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 2)))) 1)
(+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3) (+.f64 2 (+.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 2)))) (/.f64 -1 (+.f64 2 (+.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 2))))))
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)) (+.f64 2 (+.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 2)))))
(*.f64 1 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))
(+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))
(+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 1)
(+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))
(+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) (sqrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))
(+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))
(+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) 1))
(+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))
(+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) 2))
(+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))
(+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))
(+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))
(+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) 1))
(+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))
(+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -2)) (-.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -2)) (-.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (-.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (+.f64 1 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -2) (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -2) (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2) (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (+.f64 1 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))) (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2) (+.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)))
(/.f64 (*.f64 1 (-.f64 1 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -2))) (-.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -2)) (-.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (-.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (+.f64 1 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -2) (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -2) (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2) (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (+.f64 1 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))) (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2) (+.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -2)) 1) (-.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -2)) (-.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (-.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (+.f64 1 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -2) (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -2) (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2) (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (+.f64 1 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))) (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2) (+.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)))
(pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 1)
(+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))
(+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) 2)
(+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))
(+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) 3)
(+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))
(+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(pow.f64 (E.f64) (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))
(pow.f64 (E.f64) (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))
(pow.f64 (E.f64) (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 3) 1/3)
(+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))
(+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))) (sqrt.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))) (sqrt.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) (sqrt.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) 2)) (cbrt.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 2)) (cbrt.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 2)) (cbrt.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 2))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 2))
(fabs.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(log.f64 (exp.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))
(+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))
(+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))))
(+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))
(+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 3))
(+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))
(+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(expm1.f64 (log.f64 (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2)))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))
(+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))
(+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))

localize65.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
0.3b
(cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))
28.6b
(cos.f64 (*.f64 1/2 (/.f64 x y)))
28.6b
(cos.f64 (/.f64 x y))
Compiler

Compiled 90 to 48 computations (46.7% saved)

series23.0ms (0.2%)

Counts
3 → 60
Calls

18 calls:

TimeVariablePointExpression
10.0ms
y
@0
(cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
2.0ms
x
@inf
(cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))
2.0ms
x
@-inf
(cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))
1.0ms
y
@0
(cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))
1.0ms
x
@-inf
(cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))

rewrite75.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1386×associate-*r/
1122×associate-*l/
890×associate-/r*
604×associate-/l*
466×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01459
128755
2364955
Stop Event
node limit
Counts
3 → 75
Calls
Call 1
Inputs
(cos.f64 (/.f64 x y))
(cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))
(cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (/.f64 x y))) (sqrt.f64 (cos.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x y))) 2) (cbrt.f64 (cos.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (/.f64 x y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1/6) (*.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1/6) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 (*.f64 (cos.f64 (/.f64 x y)) 1/2) 3))) (cbrt.f64 (+.f64 1/4 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2)) (*.f64 1/4 (cos.f64 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2)))) (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (cbrt.f64 (+.f64 1/8 (pow.f64 (*.f64 (cos.f64 (/.f64 x y)) 1/2) 3)))) (cbrt.f64 (+.f64 1/4 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2)) (*.f64 1/4 (cos.f64 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (cbrt.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2))))) (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 1/8 (pow.f64 (*.f64 (cos.f64 (/.f64 x y)) 1/2) 3)))) (cbrt.f64 (+.f64 1/4 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2)) (*.f64 1/4 (cos.f64 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2))))) (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 (*.f64 (cos.f64 (/.f64 x y)) 1/2) 3))) 1) (cbrt.f64 (+.f64 1/4 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2)) (*.f64 1/4 (cos.f64 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2)))) 1) (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1/6) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))) 2)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1/3) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))))

simplify75.0ms (0.5%)

Algorithm
egg-herbie
Rules
1010×fma-def
922×*-commutative
904×times-frac
772×unswap-sqr
570×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02594579
15914433
223044289
Stop Event
node limit
Counts
135 → 148
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 1 (*.f64 -1/12 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1/25920 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(+.f64 1 (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1/25920 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 -1/435456 (/.f64 (pow.f64 x 8) (pow.f64 y 8))))))
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)
1
(+.f64 1 (*.f64 -1/12 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 -1/1440 (pow.f64 x 6)) (*.f64 -1/1728 (pow.f64 x 6))) (pow.f64 y 6))) (*.f64 -1/12 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 -1/1440 (pow.f64 x 6)) (*.f64 -1/1728 (pow.f64 x 6))) (pow.f64 y 6))) (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 1/3 (/.f64 (-.f64 (*.f64 1/80640 (pow.f64 x 8)) (*.f64 -1/6 (*.f64 (-.f64 (*.f64 -1/1440 (pow.f64 x 6)) (*.f64 -1/1728 (pow.f64 x 6))) (pow.f64 x 2)))) (pow.f64 y 8))))))
1
(+.f64 1 (*.f64 -1/12 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 -1/1440 (pow.f64 x 6)) (*.f64 -1/1728 (pow.f64 x 6))) (pow.f64 y 6))) (*.f64 -1/12 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 -1/1440 (pow.f64 x 6)) (*.f64 -1/1728 (pow.f64 x 6))) (pow.f64 y 6))) (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 1/3 (/.f64 (-.f64 (*.f64 1/80640 (pow.f64 x 8)) (*.f64 -1/6 (*.f64 (-.f64 (*.f64 -1/1440 (pow.f64 x 6)) (*.f64 -1/1728 (pow.f64 x 6))) (pow.f64 x 2)))) (pow.f64 y 8))))))
1
(+.f64 1 (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 -1/1152 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 1 (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (*.f64 -1/1152 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 1 (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -23/414720 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
1
(+.f64 1 (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 x 4)) (*.f64 1/192 (pow.f64 x 4))) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 -1/46080 (pow.f64 x 6)) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (*.f64 1/384 (pow.f64 x 4)) (*.f64 1/192 (pow.f64 x 4))) (pow.f64 x 2))) (*.f64 -1/13824 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 x 4)) (*.f64 1/192 (pow.f64 x 4))) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
1
(+.f64 1 (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 x 4)) (*.f64 1/192 (pow.f64 x 4))) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 -1/46080 (pow.f64 x 6)) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (*.f64 1/384 (pow.f64 x 4)) (*.f64 1/192 (pow.f64 x 4))) (pow.f64 x 2))) (*.f64 -1/13824 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 x 4)) (*.f64 1/192 (pow.f64 x 4))) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (/.f64 x y)))) 1)
(*.f64 (cos.f64 (/.f64 x y)) 1)
(*.f64 1 (cos.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 (cos.f64 (/.f64 x y))) (sqrt.f64 (cos.f64 (/.f64 x y))))
(*.f64 (cbrt.f64 (cos.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x y))) 2) (cbrt.f64 (cos.f64 (/.f64 x y))))
(pow.f64 (cos.f64 (/.f64 x y)) 1)
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 x y))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (/.f64 x y))) 3)
(pow.f64 (pow.f64 (cos.f64 (/.f64 x y)) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2))
(log.f64 (exp.f64 (cos.f64 (/.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (/.f64 x y)))))
(cbrt.f64 (pow.f64 (cos.f64 (/.f64 x y)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (/.f64 x y))))
(exp.f64 (log.f64 (cos.f64 (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 x y))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (/.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)))) 1)
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) 1)
(*.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 1 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)))
(*.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1/6) (*.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1/6) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))))
(*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))))
(/.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 (*.f64 (cos.f64 (/.f64 x y)) 1/2) 3))) (cbrt.f64 (+.f64 1/4 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2)) (*.f64 1/4 (cos.f64 (/.f64 x y)))))))
(/.f64 (cbrt.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2)))) (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (/.f64 x y))))))
(/.f64 (*.f64 1 (cbrt.f64 (+.f64 1/8 (pow.f64 (*.f64 (cos.f64 (/.f64 x y)) 1/2) 3)))) (cbrt.f64 (+.f64 1/4 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2)) (*.f64 1/4 (cos.f64 (/.f64 x y)))))))
(/.f64 (*.f64 1 (cbrt.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2))))) (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (/.f64 x y))))))
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 1/8 (pow.f64 (*.f64 (cos.f64 (/.f64 x y)) 1/2) 3)))) (cbrt.f64 (+.f64 1/4 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2)) (*.f64 1/4 (cos.f64 (/.f64 x y)))))))
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2))))) (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (/.f64 x y))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 (*.f64 (cos.f64 (/.f64 x y)) 1/2) 3))) 1) (cbrt.f64 (+.f64 1/4 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2)) (*.f64 1/4 (cos.f64 (/.f64 x y)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 (/.f64 x y)) 2)))) 1) (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (/.f64 x y))))))
(pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) 1)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)
(pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 2/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) 2))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 1)
(*.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(*.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1/6) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))) 2)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1/3) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1/3))
(pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 1/6)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)) 1/2)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1/6) 2)
(pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3)
(sqrt.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2)))
(fabs.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
Outputs
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 y y))))
(fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 -1/720 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/720 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 1 (fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 (/.f64 -1/2 y) (/.f64 x (/.f64 y x)) (*.f64 (/.f64 -1/720 (pow.f64 y 6)) (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 y y))))
(fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 -1/720 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/720 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 1 (fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 (/.f64 -1/2 y) (/.f64 x (/.f64 y x)) (*.f64 (/.f64 -1/720 (pow.f64 y 6)) (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 y y))))
(fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 1 (fma.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 -1/720 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 1 (fma.f64 -1/2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/720 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 1 (fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 (/.f64 -1/2 y) (/.f64 x (/.f64 y x)) (*.f64 (/.f64 -1/720 (pow.f64 y 6)) (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 -1/12 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1/12))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/12 1)
(+.f64 1 (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1/25920 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(+.f64 1 (fma.f64 -1/12 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -1/25920)))
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/12 (/.f64 (*.f64 (pow.f64 x 6) -1/25920) (pow.f64 y 6))))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/12 (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -1/25920 1))
(+.f64 1 (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1/25920 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 -1/435456 (/.f64 (pow.f64 x 8) (pow.f64 y 8))))))
(+.f64 1 (fma.f64 -1/12 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 -1/25920 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 -1/435456 (/.f64 (pow.f64 x 8) (pow.f64 y 8))))))
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/12 (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -1/25920 (*.f64 -1/435456 (/.f64 (pow.f64 x 8) (pow.f64 y 8))))))
(+.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/12 1) (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -1/25920 (*.f64 -1/435456 (/.f64 (pow.f64 x 8) (pow.f64 y 8)))))
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))
(cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))
(cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))
(cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))
(cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))
(cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))
(cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))
(cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))
(cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))
(pow.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1/3)
(cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))
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(cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))

localize45.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
9.3b
(cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
13.5b
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))
28.1b
(sin.f64 (*.f64 x (/.f64 1/2 y)))
28.6b
(tan.f64 (/.f64 x (*.f64 y 2)))
Compiler

Compiled 93 to 69 computations (25.8% saved)

series1.0ms (0%)

Counts
2 → 36
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@0
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))
0.0ms
x
@0
(cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
0.0ms
y
@-inf
(cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
0.0ms
y
@inf
(cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
0.0ms
y
@inf
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))

rewrite88.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
970×*-commutative
738×unswap-sqr
730×associate-*r/
606×swap-sqr
498×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01338
126838
2291838
Stop Event
node limit
Counts
2 → 57
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))
(cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6) (*.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3/2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3/2) 1/6) (pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3/2) 1/6)) (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3/2) 1/6) (pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3/2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6)) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6)) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6))) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (*.f64 x (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1/6)) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2))) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))))

simplify73.0ms (0.5%)

Algorithm
egg-herbie
Rules
904×associate-/l*
592×*-commutative
536×+-commutative
524×sqr-pow
472×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01442485
13452397
213542397
340872343
Stop Event
node limit
Counts
93 → 75
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1)
(*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1)
(*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(*.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6) (*.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)))
(*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3/2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3/2))
(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3/2) 1/6) (pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3/2) 1/6)) (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3/2) 1/6) (pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3/2) 1/6)))
(*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6)) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6)) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6))) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6))))
(pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3/2) 2/3)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1)
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(*.f64 1 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1/6)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6)))
(*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1/6)) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2))) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6))))
(*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/18))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3/2))
(pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/9)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2/3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(exp.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
Outputs
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y)))
(fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 1/2 (/.f64 x y)))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 1/2 (/.f64 x y))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y)))
(fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 1/2 (/.f64 x y)))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 1/2 (/.f64 x y))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y)))
(fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 1/2 (/.f64 x y)))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 1/2 (/.f64 x y))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1)
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1)
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6) (*.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3/2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3/2))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3/2) 1/6) (pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3/2) 1/6)) (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3/2) 1/6) (pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3/2) 1/6)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6)) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6)) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6))) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1)
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3)
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3/2) 2/3)
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(exp.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1/6)))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/6)))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1/6)) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2))) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) 2) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/6)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/6))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) 2) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/6)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/6))))
(*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/18))
(*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 3) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 3) 1/18))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3/2))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/9)
(*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/18))
(*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 3) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 3) 1/18))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6) 2)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(log.f64 (exp.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))

eval745.0ms (5.4%)

Compiler

Compiled 32576 to 24084 computations (26.1% saved)

prune456.0ms (3.3%)

Pruning

107 alts after pruning (102 fresh and 5 done)

PrunedKeptTotal
New1130621192
Fresh404080
Picked101
Done257
Total11731071280
Error
24.5b
Counts
1280 → 107
Alt Table
Click to see full alt table
StatusErrorProgram
28.7b
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))) 3)
30.3b
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))) -2)
37.7b
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
51.9b
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))) 3))
38.2b
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (*.f64 y 2))))
59.2b
(/.f64 (/.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
52.0b
(/.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (/.f64 (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))) 3))
54.7b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
48.8b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (fabs.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))
37.8b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
38.7b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 1))) (sin.f64 (/.f64 x (*.f64 y 2))))
38.2b
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
59.2b
(/.f64 (/.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
49.2b
(/.f64 (/.f64 (fabs.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
28.7b
(/.f64 (+.f64 2 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (+.f64 1 (*.f64 2 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
38.3b
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)) (/.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (*.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
40.8b
(/.f64 (*.f64 1/2 (/.f64 x y)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
40.4b
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2))))
38.6b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3) 3))
38.5b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2))) 3))
57.8b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (log.f64 (exp.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 3))
38.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
38.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 3))
49.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (fabs.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3))
59.9b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
49.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (fabs.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))
38.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))))
38.1b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
37.8b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
55.0b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
37.7b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
59.9b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
37.7b
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (/.f64 x (*.f64 y 2))))
37.7b
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
54.9b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
37.7b
(/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 (+.f64 0 (sin.f64 (*.f64 x (*.f64 (/.f64 1/2 y) 2)))) 2))
49.4b
(/.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
56.9b
(/.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))) 3))
49.4b
(/.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
35.4b
(/.f64 1 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1))
30.9b
(/.f64 1 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1))
28.7b
(/.f64 1 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1))
30.4b
(/.f64 1 (*.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 2/3) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
28.7b
(/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
35.6b
(/.f64 1 (*.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1/12)) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
28.8b
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (sqrt.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2))))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
28.7b
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (log1p.f64 (expm1.f64 (cos.f64 (/.f64 x y))))))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
29.0b
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 1/6)))
28.7b
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3)))
35.6b
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (+.f64 1 (/.f64 (*.f64 -1/24 (*.f64 x x)) (*.f64 y y)))))
28.7b
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))
29.0b
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))))))
29.0b
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (fabs.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))
28.7b
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
29.4b
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (cbrt.f64 1)))
29.3b
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 1))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
29.0b
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
28.7b
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
28.7b
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
29.0b
(/.f64 1 (fabs.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
28.7b
(/.f64 1 (expm1.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
35.9b
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 x y) 2) 3) 1/3)))
41.5b
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (/.f64 (/.f64 x y) 2)) 2)))
28.7b
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) 2)) 3)))
28.6b
(/.f64 1 (cos.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 y 2) (cbrt.f64 x)))))
28.6b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))))
28.3b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))))
27.9b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))
28.4b
(/.f64 1 (cos.f64 (/.f64 (/.f64 x (*.f64 (cbrt.f64 (*.f64 y 2)) (cbrt.f64 (*.f64 y 2)))) (cbrt.f64 (*.f64 y 2)))))
28.1b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) x) (cbrt.f64 y))))
46.6b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) x) (sqrt.f64 y))))
32.3b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (*.f64 x (cbrt.f64 (/.f64 (/.f64 1/4 y) y))) 1) (cbrt.f64 (*.f64 y 2)))))
28.8b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 x 1/2))) (/.f64 y (cbrt.f64 (*.f64 x 1/2))))))
46.4b
(/.f64 1 (cos.f64 (/.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y)))))
32.2b
(/.f64 1 (cos.f64 (/.f64 (*.f64 x (cbrt.f64 (/.f64 1/4 (*.f64 y y)))) (cbrt.f64 (*.f64 y 2)))))
46.5b
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (/.f64 x (pow.f64 (cbrt.f64 y) 2))) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))))
28.1b
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (/.f64 x (pow.f64 (cbrt.f64 y) 2))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))))
46.7b
(/.f64 1 (cos.f64 (/.f64 (sqrt.f64 (*.f64 x 1/2)) (/.f64 y (sqrt.f64 (*.f64 x 1/2))))))
46.8b
(/.f64 1 (cos.f64 (/.f64 (sqrt.f64 x) (/.f64 (*.f64 y 2) (sqrt.f64 x)))))
32.1b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (*.f64 y y))) (/.f64 (cbrt.f64 (*.f64 y 2)) x))))
28.7b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 x) (/.f64 (*.f64 y 2) (pow.f64 (cbrt.f64 x) 2)))))
46.7b
(/.f64 1 (cos.f64 (/.f64 x (/.f64 (sqrt.f64 (*.f64 y 2)) (sqrt.f64 (/.f64 1/2 y))))))
46.5b
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))) (/.f64 x (pow.f64 (cbrt.f64 y) 2))))))
28.7b
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
32.0b
(/.f64 1 (cos.f64 (*.f64 (/.f64 (*.f64 x (cbrt.f64 (/.f64 1/4 (*.f64 y y)))) (cbrt.f64 y)) (cbrt.f64 1/2))))
28.7b
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
28.7b
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
41.9b
(/.f64 1 (cos.f64 (exp.f64 (log.f64 (/.f64 (/.f64 x y) 2)))))
29.7b
(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) 2) 3))))
28.7b
(/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
30.1b
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) 3) 1)
31.1b
(-.f64 (pow.f64 (E.f64) (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 1)
60.4b
(-.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -2)) (-.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 1)
28.7b
(-.f64 (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 1) 1)
29.1b
(-.f64 (fabs.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)
39.3b
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1)
28.7b
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 3)) 1)
28.7b
(+.f64 (+.f64 -1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 1)
31.5b
(+.f64 1 (*.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y))))
48.7b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))))
38.0b
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
28.9b
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -2))
28.8b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2)))))
30.3b
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2)))))
28.7b
(cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 3))
28.7b
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) 3)))
28.6b
1
Compiler

Compiled 4071 to 3196 computations (21.5% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
0.5b
(pow.f64 (cbrt.f64 y) 2)
0.6b
(cbrt.f64 y)
28.5b
(cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)))
Compiler

Compiled 61 to 37 computations (39.3% saved)

series27.0ms (0.2%)

Counts
4 → 48
Calls

18 calls:

TimeVariablePointExpression
23.0ms
y
@-inf
(/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
1.0ms
y
@-inf
(cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)))
0.0ms
y
@-inf
(pow.f64 (cbrt.f64 y) 2)
0.0ms
y
@-inf
(cbrt.f64 y)
0.0ms
y
@0
(pow.f64 (cbrt.f64 y) 2)

rewrite140.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
958×unswap-sqr
854×swap-sqr
612×associate-/r/
606×associate-/l/
424×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01386
127346
2357946
Stop Event
node limit
Counts
4 → 184
Calls
Call 1
Inputs
(cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)))
(cbrt.f64 y)
(pow.f64 (cbrt.f64 y) 2)
(/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) (sqrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 2) (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))) (*.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))))))
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simplify98.0ms (0.7%)

Algorithm
egg-herbie
Rules
1332×times-frac
1168×associate-/r*
1130×associate-*r*
934×distribute-lft-neg-in
828×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04344476
111944404
271064404
Stop Event
node limit
Counts
232 → 223
Calls
Call 1
Inputs
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) 1)
(*.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)) 1)
(*.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) (sqrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 2) (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))))
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(*.f64 (/.f64 (*.f64 x (/.f64 1 (cbrt.f64 y))) (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (/.f64 1/2 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))
(*.f64 (/.f64 (*.f64 x (/.f64 1 (cbrt.f64 y))) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) -1/2)
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x))) (cbrt.f64 (*.f64 (/.f64 1/2 y) x))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x))) (cbrt.f64 (*.f64 (/.f64 1/2 y) x))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 1/2 y) x))) (cbrt.f64 (*.f64 (/.f64 1/2 y) x))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 1/2 y) x))) (cbrt.f64 (*.f64 (/.f64 1/2 y) x))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x)) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x)) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 1/2 y) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 1/2 y) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x)) 2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x)) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x)))) (*.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x)) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 1/2 y) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 1/2 y) x)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x 1/2)) (cbrt.f64 y))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x 1/2)) (cbrt.f64 y))))
(pow.f64 (*.f64 (/.f64 1/2 y) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1/2 y) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1/2 y) x) 3) 1/3)
(pow.f64 (*.f64 2 (/.f64 y x)) -1)
(neg.f64 (/.f64 (*.f64 x 1/2) (neg.f64 y)))
(neg.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 y) -2) (*.f64 x -1/2)) (/.f64 1 (cbrt.f64 y))))
(neg.f64 (*.f64 (/.f64 (*.f64 x 1/2) (neg.f64 y)) 1))
(neg.f64 (*.f64 (*.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) -2)) (/.f64 1 (neg.f64 (cbrt.f64 y)))))
(neg.f64 (*.f64 1 (/.f64 (*.f64 x 1/2) (neg.f64 y))))
(neg.f64 (*.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 (pow.f64 (cbrt.f64 y) -2) (*.f64 x -1/2))))
(neg.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 y) -2) (*.f64 x -1/2)) (cbrt.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1/2 y) x) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 1/2 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/2 y) x))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1/2 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1/2 y) x)))
(exp.f64 (log.f64 (*.f64 (/.f64 1/2 y) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/2 y) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1/2 y) x)))
Outputs
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (*.f64 -1/46080 (pow.f64 x 6)) (pow.f64 y 6))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 x 1/2) y))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 x 1/2) y))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 x 1/2) y))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 x 1/2) y))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 x 1/2) y))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 x 1/2) y))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 x 1/2) y))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 x 1/2) y))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 x 1/2) y))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 x 1/2) y))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 x 1/2) y))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 x 1/2) y))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (*.f64 -1/46080 (pow.f64 x 6)) (pow.f64 y 6))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (*.f64 -1/46080 (pow.f64 x 6)) (pow.f64 y 6))))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) 1)
(cos.f64 (/.f64 (*.f64 x 1/2) y))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)) 1)
(cos.f64 (/.f64 (*.f64 x 1/2) y))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(cos.f64 (/.f64 (*.f64 x 1/2) y))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) (sqrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))
(cos.f64 (/.f64 (*.f64 x 1/2) y))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 2))
(cos.f64 (/.f64 (*.f64 x 1/2) y))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 2) (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))
(cos.f64 (/.f64 (*.f64 x 1/2) y))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))))
(cos.f64 (/.f64 (*.f64 x 1/2) y))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 2))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 2))))
(cos.f64 (/.f64 (*.f64 x 1/2) y))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 2))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))) (*.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))))
(cos.f64 (/.f64 (*.f64 x 1/2) y))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 2))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(pow.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)) 1)
(cos.f64 (/.f64 (*.f64 x 1/2) y))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 2)
(cos.f64 (/.f64 (*.f64 x 1/2) y))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 3)
(cos.f64 (/.f64 (*.f64 x 1/2) y))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)) 3) 1/3)
(cos.f64 (/.f64 (*.f64 x 1/2) y))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)) 2))
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) 2))
(fabs.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(log.f64 (exp.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))
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(*.f64 x (/.f64 1/2 y))
(*.f64 (/.f64 (*.f64 x 1/2) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) -2))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 (/.f64 (*.f64 x 1/2) 1) (/.f64 1 y))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (/.f64 (pow.f64 (cbrt.f64 y) -2) (cbrt.f64 (cbrt.f64 y))))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 (/.f64 1/2 (cbrt.f64 y)) (/.f64 x (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 (/.f64 1 y) (*.f64 x 1/2))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 (/.f64 1 (neg.f64 (cbrt.f64 y))) (*.f64 (pow.f64 (cbrt.f64 y) -2) (*.f64 x -1/2)))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 (/.f64 x (cbrt.f64 y)) (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 x 1/2)) (cbrt.f64 y)))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 (/.f64 (*.f64 x 1/2) (pow.f64 y 1/6)) (/.f64 (pow.f64 (cbrt.f64 y) -2) (pow.f64 y 1/6)))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 x 1/2)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (/.f64 (/.f64 (sqrt.f64 (*.f64 x 1/2)) (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 y (cbrt.f64 y)))) 1) (/.f64 (cbrt.f64 (*.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) -2))) (cbrt.f64 y)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 1/4 y) (/.f64 (*.f64 x x) (cbrt.f64 y)))) (*.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 (*.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) -2)))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 1/4 y) (/.f64 x (/.f64 (cbrt.f64 y) x)))) (/.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)))) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 y (cbrt.f64 y)))) (pow.f64 y 1/6)) (/.f64 (cbrt.f64 (*.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) -2))) (pow.f64 y 1/6)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 1/4 y) (/.f64 (*.f64 x x) (cbrt.f64 y)))) (*.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 (*.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) -2)))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 1/4 y) (/.f64 x (/.f64 (cbrt.f64 y) x)))) (/.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)))) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 y (cbrt.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (cbrt.f64 (*.f64 (/.f64 1/2 y) x)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y)) (/.f64 (cbrt.f64 (*.f64 (/.f64 1/4 y) (/.f64 (*.f64 x x) (cbrt.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 (cbrt.f64 (*.f64 (/.f64 1/4 y) (/.f64 x (/.f64 (cbrt.f64 y) x)))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))
(*.f64 (/.f64 x y) 1/2)
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 (/.f64 1/2 y) x)
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 (/.f64 1 (/.f64 (cbrt.f64 y) (*.f64 x 1/2))) (pow.f64 (cbrt.f64 y) -2))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 (/.f64 1 (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 x 1/2))) (cbrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x 1/2)) (cbrt.f64 y)))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 (/.f64 1 (/.f64 (cbrt.f64 y) (cbrt.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 y (cbrt.f64 y)))))) (cbrt.f64 (*.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) -2))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 1/4 y) (/.f64 (*.f64 x x) (cbrt.f64 y)))) (*.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 (*.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) -2)))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 1/4 y) (/.f64 x (/.f64 (cbrt.f64 y) x)))) (/.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)))) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 1/2)) y) (sqrt.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 y (cbrt.f64 y)))) (cbrt.f64 y)) (cbrt.f64 (*.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) -2))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 1/4 y) (/.f64 (*.f64 x x) (cbrt.f64 y)))) (*.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 (*.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) -2)))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 1/4 y) (/.f64 x (/.f64 (cbrt.f64 y) x)))) (/.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)))) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) y) (cbrt.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 y)) 1) (*.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) -2)))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))
(*.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (/.f64 1 (*.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) (cbrt.f64 y))))
(/.f64 (/.f64 (*.f64 1/2 (/.f64 x (cbrt.f64 y))) (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 2 (pow.f64 (cbrt.f64 y) 2))) x)
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 y)) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (*.f64 x -1/2))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) 1/2)
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) (*.f64 x 1/2))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 x 1/2)))) (sqrt.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 (/.f64 (*.f64 x (/.f64 1 (cbrt.f64 y))) (cbrt.f64 y)) (/.f64 1/2 (cbrt.f64 y)))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 (/.f64 (*.f64 x (/.f64 1 (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2)) 1/2)
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 (/.f64 (*.f64 x (/.f64 1 (cbrt.f64 y))) 1) (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 (/.f64 (*.f64 x (/.f64 1 (cbrt.f64 y))) (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (/.f64 1/2 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))
(*.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (/.f64 1 (*.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) (cbrt.f64 y))))
(/.f64 (/.f64 (*.f64 1/2 (/.f64 x (cbrt.f64 y))) (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))
(*.f64 (/.f64 (*.f64 x (/.f64 1 (cbrt.f64 y))) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) -1/2)
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x))) (cbrt.f64 (*.f64 (/.f64 1/2 y) x))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x))) (cbrt.f64 (*.f64 (/.f64 1/2 y) x))))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 1/2 y) x))) (cbrt.f64 (*.f64 (/.f64 1/2 y) x))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 1/2 y) x))) (cbrt.f64 (*.f64 (/.f64 1/2 y) x))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 x 1/2) y))) (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 x 1/2) y)))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y)) 2))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x)) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x)) 2))))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 1/2 y) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 1/2 y) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x)) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 x 1/2) y))) (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 x 1/2) y)))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y)) 2))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x)) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x)))) (*.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x)) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x)))))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 1/2 y) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 1/2 y) x)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 x 1/2) y))) (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 x 1/2) y)))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y)) 2))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x 1/2)) (cbrt.f64 y))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 y))) (/.f64 (sqrt.f64 (*.f64 x 1/2)) (cbrt.f64 y))))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(pow.f64 (*.f64 (/.f64 1/2 y) x) 1)
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1/2 y) x)) 2)
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x)) 3)
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 (/.f64 1/2 y) x) 3) 1/3)
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(pow.f64 (*.f64 2 (/.f64 y x)) -1)
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(neg.f64 (/.f64 (*.f64 x 1/2) (neg.f64 y)))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(neg.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 y) -2) (*.f64 x -1/2)) (/.f64 1 (cbrt.f64 y))))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(neg.f64 (*.f64 (/.f64 (*.f64 x 1/2) (neg.f64 y)) 1))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(neg.f64 (*.f64 (*.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) -2)) (/.f64 1 (neg.f64 (cbrt.f64 y)))))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(neg.f64 (*.f64 1 (/.f64 (*.f64 x 1/2) (neg.f64 y))))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(neg.f64 (*.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 (pow.f64 (cbrt.f64 y) -2) (*.f64 x -1/2))))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(neg.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 y) -2) (*.f64 x -1/2)) (cbrt.f64 y)))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1/2 y) x) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 2))
(fabs.f64 (*.f64 x (/.f64 1/2 y)))
(log.f64 (exp.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/2 y) x))))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1/2 y) x) 3))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(exp.f64 (log.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/2 y) x)) 1))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1/2 y) x)))
(/.f64 (*.f64 x 1/2) y)
(*.f64 x (/.f64 1/2 y))

localize26.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
0.2b
(/.f64 1/2 (/.f64 y x))
28.9b
(cos.f64 (/.f64 1/2 (/.f64 y x)))
Compiler

Compiled 28 to 15 computations (46.4% saved)

series2.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite80.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1322×associate-*r/
1280×associate-/r*
988×*-commutative
880×associate-*l/
724×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01153
123053
2284153
Stop Event
node limit
Counts
3 → 134
Calls
Call 1
Inputs
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(/.f64 1/2 (/.f64 y x))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
Outputs
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simplify93.0ms (0.7%)

Algorithm
egg-herbie
Rules
1618×unswap-sqr
1380×associate-/l/
1206×associate-/r/
728×distribute-rgt-in
728×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03486166
18155946
230875920
Stop Event
node limit
Counts
206 → 201
Calls
Call 1
Inputs
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
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1
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(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
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(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
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1
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1
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(/.f64 -1 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)
(/.f64 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (/.f64 -1 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (/.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) (/.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) (cbrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))) (/.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))))
(/.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (/.f64 -1 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) (/.f64 -1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))
(/.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) -1)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))
(/.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))
(/.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)))
(/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) 1) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3) 1/3)
(neg.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))
(log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(exp.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(*.f64 (*.f64 1/2 (/.f64 x y)) 1)
(*.f64 1 (*.f64 1/2 (/.f64 x y)))
(*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) (sqrt.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1/2 y)))
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1/2 y)))
(*.f64 (/.f64 1/2 y) x)
(*.f64 (/.f64 1/2 y) (/.f64 x 1))
(*.f64 (/.f64 x y) 1/2)
(*.f64 (neg.f64 x) (/.f64 -1/2 y))
(*.f64 -1/2 (neg.f64 (/.f64 x y)))
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 1/2 y)) (sqrt.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1/2 y)) (cbrt.f64 x))
(*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 1 y) (*.f64 1/2 x))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 1/2 (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 y x) 2))) (*.f64 1/2 (cbrt.f64 (/.f64 x y))))
(*.f64 (/.f64 -1/2 y) (neg.f64 x))
(*.f64 (/.f64 -1 y) (*.f64 1/2 (neg.f64 x)))
(*.f64 (neg.f64 (/.f64 x y)) -1/2)
(*.f64 (/.f64 (*.f64 1/2 (sqrt.f64 (/.f64 x y))) 1) (sqrt.f64 (/.f64 x y)))
(*.f64 (/.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 y x) 2))) 1) (cbrt.f64 (/.f64 x y)))
(*.f64 (/.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 y x) 2))) (cbrt.f64 y)) (cbrt.f64 x))
(*.f64 (/.f64 1/2 (/.f64 y (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 1/2 (/.f64 y 1)) x)
(*.f64 (/.f64 1/2 (/.f64 y (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (/.f64 1/2 y) -1) (neg.f64 x))
(*.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (*.f64 1/2 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 x)))
(*.f64 (/.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 y x) 2))) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 x)))
(pow.f64 (*.f64 1/2 (/.f64 x y)) 1)
(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3)
(pow.f64 (/.f64 (*.f64 y 2) x) -1)
(sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 y x) 2)))
(log.f64 (pow.f64 (exp.f64 1/2) (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)
(*.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(*.f64 -1 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) -1) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) -1))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1)
(pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
Outputs
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
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(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (/.f64 1 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))))
(/.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))
(/.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
0.2b
(*.f64 x (/.f64 1/2 y))
0.6b
(expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))
28.6b
(cos.f64 (*.f64 x (/.f64 1/2 y)))
Compiler

Compiled 45 to 32 computations (28.9% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@0
(expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))
0.0ms
y
@inf
(expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))
0.0ms
y
@-inf
(expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))
0.0ms
x
@inf
(expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))
0.0ms
x
@-inf
(expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))

rewrite62.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1958×add-sqr-sqrt
1934×*-un-lft-identity
1798×add-cube-cbrt
1776×add-cbrt-cube
200×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01138
122238
2244638
Stop Event
node limit
Counts
2 → 37
Calls
Call 1
Inputs
(expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 2) (cbrt.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1) (+.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3) 1) (+.f64 (*.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (+.f64 1 (*.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (*.f64 x (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1))))))

simplify76.0ms (0.5%)

Algorithm
egg-herbie
Rules
1666×distribute-lft-in
1338×associate-/r/
1102×associate-/l/
610×times-frac
604×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01492469
13592429
214302387
348902387
Stop Event
node limit
Counts
85 → 77
Calls
Call 1
Inputs
(-.f64 (exp.f64 1) 1)
(-.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (exp.f64 1) (pow.f64 x 2)) (pow.f64 y 2))) (exp.f64 1)) 1)
(-.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (exp.f64 1) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (*.f64 1/96 (/.f64 (*.f64 (exp.f64 1) (pow.f64 x 4)) (pow.f64 y 4))) (exp.f64 1))) 1)
(-.f64 (+.f64 (*.f64 -31/46080 (/.f64 (*.f64 (exp.f64 1) (pow.f64 x 6)) (pow.f64 y 6))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (exp.f64 1) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (*.f64 1/96 (/.f64 (*.f64 (exp.f64 1) (pow.f64 x 4)) (pow.f64 y 4))) (exp.f64 1)))) 1)
(-.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(-.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(-.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(-.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(-.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(-.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(-.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(-.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(-.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(-.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(-.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(-.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(-.f64 (exp.f64 1) 1)
(-.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (exp.f64 1)) 1)
(-.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (exp.f64 1)) (pow.f64 y 4)) (exp.f64 1))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/1536 (pow.f64 x 6)) (*.f64 -1/46080 (pow.f64 x 6))) (exp.f64 1)) (pow.f64 y 6)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (exp.f64 1)) (pow.f64 y 4)) (exp.f64 1)))) 1)
(-.f64 (exp.f64 1) 1)
(-.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (exp.f64 1)) 1)
(-.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (exp.f64 1)) (pow.f64 y 4)) (exp.f64 1))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/1536 (pow.f64 x 6)) (*.f64 -1/46080 (pow.f64 x 6))) (exp.f64 1)) (pow.f64 y 6)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (exp.f64 1)) (pow.f64 y 4)) (exp.f64 1)))) 1)
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1)
(-.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(*.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(*.f64 1 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (sqrt.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (cbrt.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 2) (cbrt.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1) (+.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3) 1) (+.f64 (*.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (+.f64 1 (*.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1))))
(pow.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 2)
(pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3)
(pow.f64 (pow.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(log.f64 (exp.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))
(cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3))
(exp.f64 (log.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1)
(*.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1)
(*.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 2))
(log.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(exp.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1))
Outputs
(-.f64 (exp.f64 1) 1)
(expm1.f64 1)
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(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (/.f64 (*.f64 (pow.f64 x 4) 1/384) (pow.f64 y 4))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) 1/384))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1)))
(+.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1)
(expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(expm1.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(-.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(expm1.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(*.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(expm1.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(*.f64 1 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(expm1.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(*.f64 (sqrt.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(expm1.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(*.f64 (cbrt.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 2))
(expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(expm1.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 2) (cbrt.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(expm1.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(/.f64 (-.f64 (*.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1) (+.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1))
(expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(expm1.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3) 1) (+.f64 (*.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (+.f64 1 (*.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3) -1) (+.f64 (exp.f64 (+.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (cos.f64 (*.f64 x (/.f64 1/2 y))))) (+.f64 1 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3)) (+.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (+.f64 1 (exp.f64 (*.f64 2 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))
(/.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)) (+.f64 1 (+.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))))
(/.f64 (expm1.f64 (*.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 3)) (+.f64 1 (+.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) (pow.f64 (exp.f64 2) (cos.f64 (/.f64 1/2 (/.f64 y x)))))))
(pow.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(expm1.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(pow.f64 (sqrt.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 2)
(expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(expm1.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3)
(expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(expm1.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(pow.f64 (pow.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3) 1/3)
(expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(expm1.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(expm1.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(log.f64 (exp.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(expm1.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))
(expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(expm1.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3))
(expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(expm1.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(exp.f64 (log.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(expm1.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(expm1.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(expm1.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(*.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(*.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 2))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(log.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(exp.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(-.f64 (pow.f64 (E.f64) (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 1)
0.1b
(/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))
0.6b
(pow.f64 (E.f64) (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))
28.6b
(cos.f64 (/.f64 (*.f64 x 1/2) y))
Compiler

Compiled 62 to 45 computations (27.4% saved)

series25.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
12.0ms
x
@inf
(pow.f64 (E.f64) (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))
5.0ms
y
@0
(pow.f64 (E.f64) (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))
2.0ms
x
@0
(pow.f64 (E.f64) (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))
1.0ms
y
@inf
(pow.f64 (E.f64) (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))
1.0ms
y
@inf
(-.f64 (pow.f64 (E.f64) (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 1)

rewrite113.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1692×associate-*r/
1362×associate-*l/
1234×associate-/r*
334×add-sqr-sqrt
322×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01694
133692
2417192
Stop Event
node limit
Counts
4 → 215
Calls
Call 1
Inputs
(cos.f64 (/.f64 (*.f64 x 1/2) y))
(pow.f64 (E.f64) (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))
(-.f64 (pow.f64 (E.f64) (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (/.f64 x (*.f64 y 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (/.f64 x (*.f64 y 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) (sqrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) 2)) (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (/.f64 x (*.f64 y 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) (pow.f64 (cos.f64 (/.f64 x 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simplify188.0ms (1.4%)

Algorithm
egg-herbie
Rules
1430×associate-/r/
874×associate--r+
804×associate--l+
772×+-commutative
506×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055217257
1132616667
2495816619
Stop Event
node limit
Counts
311 → 354
Calls
Call 1
Inputs
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
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(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
1
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1
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(pow.f64 (E.f64) (log.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(pow.f64 (E.f64) (log.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (log.f64 (E.f64)))
(pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (log.f64 (E.f64)))
(pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (log.f64 (E.f64)))
(pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (log.f64 (E.f64)))
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(pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (log.f64 (E.f64)))
(pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (log.f64 (E.f64)))
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(pow.f64 (E.f64) (log.f64 2))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (log.f64 (E.f64)) (*.f64 (pow.f64 (E.f64) (log.f64 2)) (pow.f64 x 2))) (pow.f64 y 2))) (pow.f64 (E.f64) (log.f64 2)))
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1
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(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 3))) (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) -1/2)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 2) (+.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))) 2))))
(/.f64 (*.f64 (sqrt.f64 -1) (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) -1/2)) (sqrt.f64 (neg.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 2) -1)) (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) -1/2)) (sqrt.f64 (+.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))) 2)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 3))) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) -2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 2) (+.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))) 2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 2) -1)) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) -2))) (cbrt.f64 (+.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))) 2)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 2) (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 2)) 1) (/.f64 1 (+.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))) 2))) (+.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 2) 3) 1) (/.f64 1 (+.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))) 2))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 2) (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 2)) (+.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 2) 1))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 3) (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 3)) 1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 2) (+.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))) 2)))) (+.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 3) 3) 1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 2) (+.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))) 2)))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 3) (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 3)) (+.f64 1 (*.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 3) 1))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 2) -1) 1) (+.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))) 2))
(/.f64 (/.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) -1/2) 1) (sqrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))
(/.f64 (/.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) -1/2) (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))) (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))
(/.f64 (/.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) -1/2) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) 2)))) (sqrt.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))
(/.f64 (/.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) -1/2) (sqrt.f64 (sqrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))) (sqrt.f64 (sqrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 2) -1) (sqrt.f64 (+.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))) 2))) (sqrt.f64 (+.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 2) -1) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))) 2)) (cbrt.f64 (+.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))) 2)))) (cbrt.f64 (+.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))) 2)))
(/.f64 (/.f64 -1 (sqrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))) (neg.f64 (sqrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))
(/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) 2))) (neg.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))
(/.f64 (/.f64 -1 (sqrt.f64 (neg.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))) (sqrt.f64 (neg.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))
(/.f64 (/.f64 -1 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 (/.f64 x (*.f64 y 2))))) (cbrt.f64 (neg.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))) (cbrt.f64 (neg.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))
(/.f64 (/.f64 -1 (neg.f64 (sqrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))) (sqrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))
(/.f64 (/.f64 -1 (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) 2)))) (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 3)) 1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 2) (+.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))) 2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 2) (+.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))) 2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 2) (+.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 2) (+.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))) 2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 2) (+.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))) 2))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 2) (+.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))) 2))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) -2)) 1) (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) -2)) (sqrt.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))) (sqrt.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) -2)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) 2)))) (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) -2)) (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))) (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) -2)) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))) (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))) (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))
(pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) -1)
(pow.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))) 1)
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) -2))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 y 2))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))
(fma.f64 1 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))) (sqrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))) -1)
Outputs
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (pow.f64 x 6) (/.f64 (pow.f64 y 6) -1/46080))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (*.f64 1/2 x) y))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (pow.f64 x 6) (/.f64 (pow.f64 y 6) -1/46080))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (pow.f64 x 6) (/.f64 (pow.f64 y 6) -1/46080))))
(pow.f64 (E.f64) (log.f64 2))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (log.f64 (E.f64)) (*.f64 (pow.f64 x 2) (pow.f64 (E.f64) (log.f64 2)))) (pow.f64 y 2))) (pow.f64 (E.f64) (log.f64 2)))
(fma.f64 1/16 (/.f64 1 (/.f64 (*.f64 y y) (*.f64 (*.f64 x x) (pow.f64 (E.f64) (log.f64 2))))) (pow.f64 (E.f64) (log.f64 2)))
(fma.f64 1/16 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) (pow.f64 (E.f64) (log.f64 2)))) (pow.f64 (E.f64) (log.f64 2)))
(fma.f64 1/16 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (pow.f64 (E.f64) (log.f64 2))) (pow.f64 (E.f64) (log.f64 2)))
(+.f64 (*.f64 (+.f64 (*.f64 1/512 (/.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 y 4))) (*.f64 7/1536 (/.f64 (log.f64 (E.f64)) (pow.f64 y 4)))) (*.f64 (pow.f64 x 4) (pow.f64 (E.f64) (log.f64 2)))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (log.f64 (E.f64)) (*.f64 (pow.f64 x 2) (pow.f64 (E.f64) (log.f64 2)))) (pow.f64 y 2))) (pow.f64 (E.f64) (log.f64 2))))
(fma.f64 (+.f64 (/.f64 1/512 (pow.f64 y 4)) (/.f64 7/1536 (pow.f64 y 4))) (*.f64 (pow.f64 x 4) (pow.f64 (E.f64) (log.f64 2))) (fma.f64 1/16 (/.f64 1 (/.f64 (*.f64 y y) (*.f64 (*.f64 x x) (pow.f64 (E.f64) (log.f64 2))))) (pow.f64 (E.f64) (log.f64 2))))
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(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 2 y))))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 2 y))))) 2) (+.f64 2 (/.f64 1 (cos.f64 (/.f64 x (*.f64 2 y)))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 2 y))))) 3)) (+.f64 2 (+.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 2 y)))) (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 2 y))))) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 2) (+.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))) 2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 2) (+.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))) 2))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 2) (+.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 2 y))))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 2 y))))) 2) (+.f64 2 (/.f64 1 (cos.f64 (/.f64 x (*.f64 2 y)))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 2 y))))) 3)) (+.f64 2 (+.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 2 y)))) (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 2 y))))) 2))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) -2)) 1) (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 2 y))) -2)) (cbrt.f64 (cos.f64 (/.f64 x (*.f64 2 y)))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) -2)) (sqrt.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))) (sqrt.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 2 y))) -2)) (cbrt.f64 (cos.f64 (/.f64 x (*.f64 2 y)))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) -2)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) 2)))) (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 2 y))) -2)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 2 y))) 2)))) (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 2 y))))))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 2 y))) -2)) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 2 y))) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 2 y)))))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) -2)) (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))) (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 2 y))) -2)) (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 x (*.f64 2 y)))))) (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 x (*.f64 2 y))))))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 2 y))) -2)) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 x (*.f64 2 y))))) (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 x (*.f64 2 y)))))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) -2)) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))) (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))) (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 2 y))) -2)) (cbrt.f64 (cos.f64 (/.f64 x (*.f64 2 y)))))
(pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) -1)
(/.f64 1 (cos.f64 (/.f64 x (*.f64 2 y))))
(pow.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))) 1)
(/.f64 1 (cos.f64 (/.f64 x (*.f64 2 y))))
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) -1/2) 2)
(/.f64 1 (cos.f64 (/.f64 x (*.f64 2 y))))
(pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 3)
(/.f64 1 (cos.f64 (/.f64 x (*.f64 2 y))))
(pow.f64 (pow.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))) 3) 1/3)
(/.f64 1 (cos.f64 (/.f64 x (*.f64 2 y))))
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) -2))
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 2 y))) -2))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))
(/.f64 1 (cos.f64 (/.f64 x (*.f64 2 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))))
(/.f64 1 (cos.f64 (/.f64 x (*.f64 2 y))))
(cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))) 3))
(/.f64 1 (cos.f64 (/.f64 x (*.f64 2 y))))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))
(/.f64 1 (cos.f64 (/.f64 x (*.f64 2 y))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))
(/.f64 1 (cos.f64 (/.f64 x (*.f64 2 y))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) -1))
(/.f64 1 (cos.f64 (/.f64 x (*.f64 2 y))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 y 2))))) 1))
(/.f64 1 (cos.f64 (/.f64 x (*.f64 2 y))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))
(/.f64 1 (cos.f64 (/.f64 x (*.f64 2 y))))
(fma.f64 1 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) -1)
(/.f64 1 (cos.f64 (/.f64 x (*.f64 2 y))))
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))) (sqrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))) -1)
(/.f64 1 (cos.f64 (/.f64 x (*.f64 2 y))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))) -1)
(/.f64 1 (cos.f64 (/.f64 x (*.f64 2 y))))

localize46.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
9.0b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
9.9b
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))
28.1b
(sin.f64 (*.f64 x (/.f64 1/2 y)))
28.6b
(cos.f64 (*.f64 x (/.f64 1/2 y)))
Compiler

Compiled 106 to 79 computations (25.5% saved)

series1.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite85.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1042×associate-/r/
820×associate-/l/
416×distribute-lft-neg-in
372×distribute-rgt-neg-in
340×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01878
139656
2441356
Stop Event
node limit
Counts
2 → 118
Calls
Call 1
Inputs
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
Outputs
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simplify89.0ms (0.6%)

Algorithm
egg-herbie
Rules
1700×distribute-rgt-in
1698×distribute-lft-in
1022×times-frac
704×associate-*r*
592×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03465412
18915170
255035170
Stop Event
node limit
Counts
166 → 161
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
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(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)
(pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
(neg.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(neg.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(neg.f64 (*.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(neg.f64 (*.f64 1 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(neg.f64 (*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
Outputs
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y)))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y)))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
(*.f64 1/2 (/.f64 x y))
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y)))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y))))
(fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (*.f64 (*.f64 1/8 x) x) (*.f64 y y))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (/.f64 (*.f64 (*.f64 1/8 x) x) (*.f64 y y)))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y))))
(fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)))))
(-.f64 (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(fma.f64 -1 (/.f64 (fma.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 7/23040)) (pow.f64 y 6)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y))))))
(-.f64 (-.f64 (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384))) (/.f64 (fma.f64 1/8 (*.f64 (pow.f64 x 6) -5/384) (*.f64 (pow.f64 x 6) 7/23040)) (pow.f64 y 6)))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y))))
(fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)))))
(-.f64 (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(fma.f64 -1 (/.f64 (fma.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 7/23040)) (pow.f64 y 6)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y))))))
(-.f64 (-.f64 (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384))) (/.f64 (fma.f64 1/8 (*.f64 (pow.f64 x 6) -5/384) (*.f64 (pow.f64 x 6) 7/23040)) (pow.f64 y 6)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1)
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1)
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (neg.f64 (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (neg.f64 (neg.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 -1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 4))) (fabs.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))))
(*.f64 (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (neg.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (neg.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (pow.f64 1 1/2) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 4))) (fabs.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))))
(*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (*.f64 1/2 (/.f64 x y)))
(/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1)
(sin.f64 (*.f64 1/2 (/.f64 x y)))
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(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -1) (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2))
(/.f64 (*.f64 1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2)) (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2)) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) -1)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (*.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 (/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1) (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) -1) (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3) 1/3)
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(neg.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(neg.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(neg.f64 (*.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(neg.f64 (*.f64 1 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(neg.f64 (*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(fabs.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))

eval687.0ms (4.9%)

Compiler

Compiled 35106 to 26163 computations (25.5% saved)

prune693.0ms (5%)

Pruning

141 alts after pruning (132 fresh and 9 done)

PrunedKeptTotal
New1356581414
Fresh237497
Picked101
Done099
Total13801411521
Error
24.2b
Counts
1521 → 141
Alt Table
Click to see full alt table
StatusErrorProgram
28.7b
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))) 3)
30.3b
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))) -2)
37.7b
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
51.9b
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))) 3))
38.2b
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (*.f64 y 2))))
52.0b
(/.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (/.f64 (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))) 3))
48.2b
(/.f64 (/.f64 (sqrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2)) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
54.7b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3)))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
54.7b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
40.3b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (*.f64 1/2 (/.f64 x y)))
54.8b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)))
48.6b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (fabs.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
48.8b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (fabs.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))
54.9b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
37.8b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
54.9b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 1))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
38.7b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 1))) (sin.f64 (/.f64 x (*.f64 y 2))))
59.2b
(/.f64 (/.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
28.7b
(/.f64 (+.f64 2 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (+.f64 1 (*.f64 2 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
40.8b
(/.f64 (*.f64 1/2 (/.f64 x y)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
40.4b
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2))))
38.6b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3) 3))
57.8b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (log.f64 (exp.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 3))
38.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
38.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 3))
59.9b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
49.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (fabs.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))
37.8b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
55.0b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
37.7b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
37.7b
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (/.f64 x (*.f64 y 2))))
37.7b
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
54.9b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
37.7b
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (/.f64 (+.f64 0 (sin.f64 (/.f64 (*.f64 1 x) y))) 2))
49.4b
(/.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
56.9b
(/.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))) 3))
49.4b
(/.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
35.4b
(/.f64 1 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1))
30.9b
(/.f64 1 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1))
28.7b
(/.f64 1 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) 1))
30.4b
(/.f64 1 (*.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 2/3) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
35.6b
(/.f64 1 (*.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1/12)) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
28.8b
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (sqrt.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2))))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
28.7b
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (log1p.f64 (expm1.f64 (cos.f64 (/.f64 x y))))))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
29.0b
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (pow.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2) 1/6)))
28.7b
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3)))
35.6b
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (+.f64 1 (/.f64 (*.f64 -1/24 (*.f64 x x)) (*.f64 y y)))))
28.7b
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))
29.0b
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))))))
29.0b
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (fabs.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))
28.7b
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
29.4b
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (cbrt.f64 1)))
29.3b
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 1))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
29.0b
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
28.7b
(/.f64 1 (log1p.f64 (/.f64 (expm1.f64 (*.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 3)) (+.f64 1 (+.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) (pow.f64 (exp.f64 2) (cos.f64 (/.f64 1/2 (/.f64 y x)))))))))
29.0b
(/.f64 1 (log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))))
28.7b
(/.f64 1 (log1p.f64 (expm1.f64 (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))
27.9b
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))))
32.2b
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (/.f64 (*.f64 x (cbrt.f64 (/.f64 1/4 (*.f64 y y)))) (cbrt.f64 (*.f64 y 2)))))))
28.1b
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (/.f64 (*.f64 1/2 (/.f64 x (pow.f64 (cbrt.f64 y) 2))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))))))
28.7b
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))))
28.7b
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
29.7b
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) 2) 3))))))
28.7b
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
29.0b
(/.f64 1 (fabs.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
28.7b
(/.f64 1 (expm1.f64 (log1p.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))))
35.8b
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 1/2 y) x) 3) 1/3)))
41.5b
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (/.f64 (/.f64 x y) 2)) 2)))
28.7b
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) 2)) 3)))
28.3b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))))
46.8b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (pow.f64 (pow.f64 y 1/6) 2) 2)) (cbrt.f64 y))))
28.5b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 3) 2)) (cbrt.f64 y))))
46.8b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (pow.f64 y 1/3) 2)) (cbrt.f64 y))))
48.8b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) 1) 2)) (cbrt.f64 y))))
46.9b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (*.f64 (cbrt.f64 (pow.f64 y 1/6)) (cbrt.f64 (pow.f64 y 1/6)))) 2)) (cbrt.f64 y))))
46.4b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 y))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 y)))) 2)) (cbrt.f64 y))))
45.7b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (cbrt.f64 y))) (neg.f64 (sqrt.f64 (neg.f64 (cbrt.f64 y))))) 2)) (cbrt.f64 y))))
36.5b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (log.f64 (exp.f64 (cbrt.f64 y))) 2)) (cbrt.f64 y))))
46.9b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (exp.f64 (*.f64 (log.f64 y) 1/3)) 2)) (cbrt.f64 y))))
46.7b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (pow.f64 (pow.f64 y 1/6) 2))))
28.6b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 3))))
46.9b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (pow.f64 y 1/3))))
46.7b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (*.f64 (cbrt.f64 (pow.f64 y 1/6)) (cbrt.f64 (pow.f64 y 1/6)))))))
46.6b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (*.f64 (cbrt.f64 (pow.f64 y 1/6)) (cbrt.f64 (cbrt.f64 y))) (*.f64 (cbrt.f64 (pow.f64 y 1/6)) (cbrt.f64 (cbrt.f64 y)))))))
36.3b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (log.f64 (exp.f64 (cbrt.f64 y))))))
41.0b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (expm1.f64 (log1p.f64 (cbrt.f64 y))))))
46.7b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (exp.f64 (log.f64 (cbrt.f64 y))))))
27.9b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))
47.0b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (*.f64 (pow.f64 y 1/6) (sqrt.f64 y))) (cbrt.f64 y))))
28.5b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (*.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) (cbrt.f64 y))))
29.1b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 (*.f64 y (cbrt.f64 y)))) (cbrt.f64 y))))
28.6b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2)))) (cbrt.f64 y))))
46.7b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (exp.f64 (*.f64 (log.f64 y) 2/3))) (cbrt.f64 y))))
32.0b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))
28.4b
(/.f64 1 (cos.f64 (/.f64 (/.f64 x (*.f64 (cbrt.f64 (*.f64 y 2)) (cbrt.f64 (*.f64 y 2)))) (cbrt.f64 (*.f64 y 2)))))
46.6b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) x) (sqrt.f64 y))))
32.3b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (*.f64 x (cbrt.f64 (/.f64 (/.f64 1/4 y) y))) 1) (cbrt.f64 (*.f64 y 2)))))
28.8b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 x 1/2))) (/.f64 y (cbrt.f64 (*.f64 x 1/2))))))
32.2b
(/.f64 1 (cos.f64 (/.f64 (*.f64 x (cbrt.f64 (/.f64 1/4 (*.f64 y y)))) (cbrt.f64 (*.f64 y 2)))))
46.7b
(/.f64 1 (cos.f64 (/.f64 (sqrt.f64 (*.f64 x 1/2)) (/.f64 y (sqrt.f64 (*.f64 x 1/2))))))
46.8b
(/.f64 1 (cos.f64 (/.f64 (sqrt.f64 x) (/.f64 (*.f64 y 2) (sqrt.f64 x)))))
32.1b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (*.f64 y y))) (/.f64 (cbrt.f64 (*.f64 y 2)) x))))
28.7b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 x) (/.f64 (*.f64 y 2) (pow.f64 (cbrt.f64 x) 2)))))
46.7b
(/.f64 1 (cos.f64 (/.f64 x (/.f64 (sqrt.f64 (*.f64 y 2)) (sqrt.f64 (/.f64 1/2 y))))))
46.5b
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))) (/.f64 x (pow.f64 (cbrt.f64 y) 2))))))
28.7b
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
28.6b
(/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 x y))))))
28.2b
(/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (*.f64 x 1/2) (cbrt.f64 y)))))
28.5b
(/.f64 1 (cos.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 y) 2)))))
28.9b
(/.f64 1 (cos.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) y) (cbrt.f64 (*.f64 x 1/2)))))
46.6b
(/.f64 1 (cos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 x 1/2)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (/.f64 (/.f64 (sqrt.f64 (*.f64 x 1/2)) (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))))))
28.3b
(/.f64 1 (cos.f64 (*.f64 (/.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 2 (pow.f64 (cbrt.f64 y) 2))) x)))
29.6b
(/.f64 1 (cos.f64 (*.f64 (/.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 y x) 2))) 1) (cbrt.f64 (/.f64 x y)))))
29.0b
(/.f64 1 (cos.f64 (*.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (/.f64 1 (*.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) (cbrt.f64 y))))))
46.9b
(/.f64 1 (cos.f64 (*.f64 (/.f64 (*.f64 x 1/2) (pow.f64 y 1/6)) (/.f64 (pow.f64 (cbrt.f64 y) -2) (pow.f64 y 1/6)))))
28.2b
(/.f64 1 (cos.f64 (*.f64 (/.f64 1 (/.f64 (cbrt.f64 y) (*.f64 x 1/2))) (pow.f64 (cbrt.f64 y) -2))))
28.3b
(/.f64 1 (cos.f64 (*.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) -2)))))
29.0b
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (/.f64 y (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))
46.6b
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))
28.7b
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
28.7b
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
30.0b
(/.f64 1 (cos.f64 (sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 y x) 2)))))
41.9b
(/.f64 1 (cos.f64 (exp.f64 (log.f64 (/.f64 (/.f64 x y) 2)))))
29.7b
(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) 2) 3))))
30.1b
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) 3) 1)
31.1b
(-.f64 (pow.f64 (E.f64) (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 1)
60.4b
(-.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -2)) (-.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 1)
28.7b
(-.f64 (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 1) 1)
29.1b
(-.f64 (fabs.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 2 y)))))) 1)
39.3b
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1)
28.7b
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 3)) 1)
28.7b
(+.f64 (+.f64 -1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 1)
31.5b
(+.f64 1 (*.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y))))
48.7b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))))
38.0b
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
28.9b
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -2))
28.8b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2)))))
30.3b
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2)))))
28.7b
(cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 3))
28.7b
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) 3)))
28.6b
1
Compiler

Compiled 2769 to 2175 computations (21.5% saved)

regimes1.0s (7.4%)

Counts
234 → 1
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y))))
(+.f64 1 (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(+.f64 (+.f64 -1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 1)
(-.f64 (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 1) 1)
(/.f64 1 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1))
(/.f64 1 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1))
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 1 (fabs.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
(-.f64 (fabs.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)
(-.f64 (fabs.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 2 y)))))) 1)
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (/.f64 (+.f64 0 (sin.f64 (/.f64 (*.f64 1 x) y))) 2))
(/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 (+.f64 0 (sin.f64 (*.f64 x (*.f64 (/.f64 1/2 y) 2)))) 2))
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 1))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 1 (*.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1/12)) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (+.f64 2 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (+.f64 1 (*.f64 2 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (+.f64 1 (/.f64 (*.f64 -1/24 (*.f64 x x)) (*.f64 y y)))))
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (*.f64 1/2 (/.f64 x y)))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -2))
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))) -2)
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(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 3))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 3))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (log.f64 (exp.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 3))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 3))
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))) 3))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3) 3))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1) 3))
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (log1p.f64 (expm1.f64 (cos.f64 (/.f64 x y))))))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3)))
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (sqrt.f64 (pow.f64 (cos.f64 (/.f64 x y)) 2))))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (/.f64 (sqrt.f64 (neg.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))) (/.f64 x (pow.f64 (cbrt.f64 y) 2))))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (/.f64 x (pow.f64 (cbrt.f64 y) 2))) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))))
(/.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))) 3))
(/.f64 1 (cos.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 y) 2)))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (cbrt.f64 y))) (neg.f64 (sqrt.f64 (neg.f64 (cbrt.f64 y))))) 2)) (cbrt.f64 y))))
(/.f64 1 (cos.f64 (*.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (/.f64 1 (*.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) (cbrt.f64 y))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (fabs.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))
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(/.f64 (/.f64 (sqrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2)) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
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(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))))
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (/.f64 (*.f64 1 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -2)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 2) -1) (cbrt.f64 (neg.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (/.f64 x (pow.f64 (cbrt.f64 y) 2))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))) 3))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 3))
(/.f64 1 (log1p.f64 (/.f64 (expm1.f64 (*.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 3)) (+.f64 1 (+.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) (pow.f64 (exp.f64 2) (cos.f64 (/.f64 1/2 (/.f64 y x)))))))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2))) 3))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 3))
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (cos.f64 (/.f64 x y)) 1/2 1/2))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))
(/.f64 1 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))))))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)))
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)))
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (/.f64 (*.f64 1/2 (/.f64 x (pow.f64 (cbrt.f64 y) 2))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (*.f64 (cbrt.f64 (pow.f64 y 1/6)) (cbrt.f64 (pow.f64 y 1/6)))))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (*.f64 (cbrt.f64 (pow.f64 y 1/6)) (cbrt.f64 (pow.f64 y 1/6)))) 2)) (cbrt.f64 y))))
(/.f64 1 (cos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 x 1/2)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (/.f64 (/.f64 (sqrt.f64 (*.f64 x 1/2)) (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))))
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) (*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (*.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))) (cbrt.f64 y))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (*.f64 (cbrt.f64 (pow.f64 y 1/6)) (cbrt.f64 (cbrt.f64 y))) (*.f64 (cbrt.f64 (pow.f64 y 1/6)) (cbrt.f64 (cbrt.f64 y)))))))
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))))))
(/.f64 1 (/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 y))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 y)))) 2)) (cbrt.f64 y))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (/.f64 (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)) (/.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (*.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
(/.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (/.f64 (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))) 3))
Outputs
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))
Calls

5 calls:

329.0ms
(*.f64 y 2)
187.0ms
(/.f64 x (*.f64 y 2))
135.0ms
y
129.0ms
x
69.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
Results
ErrorSegmentsBranch
27.9b1x
27.9b1y
27.9b1(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
27.9b1(/.f64 x (*.f64 y 2))
27.9b1(*.f64 y 2)
Compiler

Compiled 4575 to 3288 computations (28.1% saved)

regimes317.0ms (2.3%)

Counts
90 → 1
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y))))
(+.f64 1 (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(+.f64 (+.f64 -1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 1)
(-.f64 (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 1) 1)
(/.f64 1 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1))
(/.f64 1 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1))
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 1 (fabs.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
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(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
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(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 1))) (sin.f64 (/.f64 x (*.f64 y 2))))
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(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (+.f64 1 (/.f64 (*.f64 -1/24 (*.f64 x x)) (*.f64 y y)))))
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (*.f64 1/2 (/.f64 x y)))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
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(pow.f64 (sqrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))) -2)
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2)))))
(/.f64 1 (cos.f64 (exp.f64 (log.f64 (/.f64 (/.f64 x y) 2)))))
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(/.f64 1 (expm1.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 1 (expm1.f64 (log1p.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))))
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) 3)))
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(/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) 2) 3))))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))
(/.f64 1 (cos.f64 (/.f64 (sqrt.f64 x) (/.f64 (*.f64 y 2) (sqrt.f64 x)))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) x) (sqrt.f64 y))))
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 1/2 y) x) 3) 1/3)))
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(/.f64 1 (cos.f64 (/.f64 (*.f64 (*.f64 x (cbrt.f64 (/.f64 (/.f64 1/4 y) y))) 1) (cbrt.f64 (*.f64 y 2)))))
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(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1) (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(-.f64 (pow.f64 (E.f64) (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 1)
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (/.f64 y (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))
(/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (*.f64 x 1/2) (cbrt.f64 y)))))
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 x) (/.f64 (*.f64 y 2) (pow.f64 (cbrt.f64 x) 2)))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) x) (cbrt.f64 y))))
Outputs
(/.f64 1 (cos.f64 (/.f64 (*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) x) (cbrt.f64 y))))
Calls

5 calls:

70.0ms
x
66.0ms
(*.f64 y 2)
61.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
54.0ms
y
32.0ms
(/.f64 x (*.f64 y 2))
Results
ErrorSegmentsBranch
28.1b1x
28.1b1y
28.1b1(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
28.1b1(/.f64 x (*.f64 y 2))
28.1b1(*.f64 y 2)
Compiler

Compiled 1250 to 899 computations (28.1% saved)

regimes287.0ms (2.1%)

Counts
89 → 1
Calls
Call 1
Inputs
1
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(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1) (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(-.f64 (pow.f64 (E.f64) (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 1)
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (/.f64 y (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))
(/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (*.f64 x 1/2) (cbrt.f64 y)))))
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 x) (/.f64 (*.f64 y 2) (pow.f64 (cbrt.f64 x) 2)))))
Outputs
(/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (*.f64 x 1/2) (cbrt.f64 y)))))
Calls

5 calls:

72.0ms
(*.f64 y 2)
65.0ms
(/.f64 x (*.f64 y 2))
53.0ms
y
40.0ms
x
23.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
Results
ErrorSegmentsBranch
28.2b1x
28.2b1y
28.2b1(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
28.2b1(/.f64 x (*.f64 y 2))
28.2b1(*.f64 y 2)
Compiler

Compiled 1236 to 890 computations (28% saved)

regimes231.0ms (1.7%)

Accuracy

Total -35.4b remaining (-123.6%)

Threshold costs -35.4b (-123.6%)

Counts
87 → 1
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y))))
(+.f64 1 (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(+.f64 (+.f64 -1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 1)
(-.f64 (+.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 1) 1)
(/.f64 1 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1))
(/.f64 1 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1))
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 1 (fabs.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
(-.f64 (fabs.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)
(-.f64 (fabs.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 x (*.f64 2 y)))))) 1)
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (/.f64 (+.f64 0 (sin.f64 (/.f64 (*.f64 1 x) y))) 2))
(/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 (+.f64 0 (sin.f64 (*.f64 x (*.f64 (/.f64 1/2 y) 2)))) 2))
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 1))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 1 (*.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1/12)) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (+.f64 2 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (+.f64 1 (*.f64 2 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (+.f64 1 (/.f64 (*.f64 -1/24 (*.f64 x x)) (*.f64 y y)))))
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (*.f64 1/2 (/.f64 x y)))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -2))
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))) -2)
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2)))))
(/.f64 1 (cos.f64 (exp.f64 (log.f64 (/.f64 (/.f64 x y) 2)))))
(/.f64 1 (expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (expm1.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 1 (expm1.f64 (log1p.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))))
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) 3)))
(cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 3))
(/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) 2) 3))))
(/.f64 1 (cos.f64 (sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 y x) 2)))))
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) 2)) 3)))
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (/.f64 (/.f64 x y) 2)) 2)))
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3))
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))) 3)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))
(/.f64 1 (cos.f64 (/.f64 (sqrt.f64 x) (/.f64 (*.f64 y 2) (sqrt.f64 x)))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) x) (sqrt.f64 y))))
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 1/2 y) x) 3) 1/3)))
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 x y) 2) 3) 1/3)))
(/.f64 1 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1))
(/.f64 1 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(/.f64 1 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) 1))
(fabs.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 1 (cos.f64 (/.f64 x (/.f64 (sqrt.f64 (*.f64 y 2)) (sqrt.f64 (/.f64 1/2 y))))))
(/.f64 1 (cos.f64 (/.f64 (sqrt.f64 (*.f64 x 1/2)) (/.f64 y (sqrt.f64 (*.f64 x 1/2))))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))
(/.f64 1 (log1p.f64 (expm1.f64 (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (cbrt.f64 1)))
(/.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (fabs.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 3)) 1)
(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) 3) 1)
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3))
(/.f64 (*.f64 1/2 (/.f64 x y)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (*.f64 y y))) (/.f64 (cbrt.f64 (*.f64 y 2)) x))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 x (cbrt.f64 (/.f64 1/4 (*.f64 y y)))) (cbrt.f64 (*.f64 y 2)))))
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 1))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (*.f64 x (cbrt.f64 (/.f64 (/.f64 1/4 y) y))) 1) (cbrt.f64 (*.f64 y 2)))))
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
(*.f64 (/.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -2)) (-.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 1)
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1) (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(-.f64 (pow.f64 (E.f64) (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 1)
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (/.f64 y (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))
Outputs
1
Calls

5 calls:

67.0ms
x
39.0ms
(*.f64 y 2)
37.0ms
y
31.0ms
(/.f64 x (*.f64 y 2))
22.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
Results
ErrorSegmentsBranch
28.6b1x
28.6b1y
28.6b1(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
28.6b1(/.f64 x (*.f64 y 2))
28.6b1(*.f64 y 2)
Compiler

Compiled 1208 to 872 computations (27.8% saved)

simplify6.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026130
131130
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) x) (cbrt.f64 y))))
(/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (*.f64 x 1/2) (cbrt.f64 y)))))
1
Outputs
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) x) (cbrt.f64 y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 x (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))))
(/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (*.f64 x 1/2) (cbrt.f64 y)))))
1
Compiler

Compiled 51 to 39 computations (23.5% saved)

soundness103.0ms (0.7%)

Algorithm
egg-herbie
Rules
1470×distribute-lft-in
968×times-frac
708×associate-*r*
618×associate-/r*
570×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03786444
19656298
261036298
Stop Event
node limit
Compiler

Compiled 34 to 25 computations (26.5% saved)

end33.0ms (0.2%)

Compiler

Compiled 45 to 31 computations (31.1% saved)

Profiling

Loading profile data...