Details

Time bar (total: 17.4s)

analyze618.0ms (3.5%)

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)

sample3.7s (21.3%)

Results
1.1s1397×body1024valid
1.1s1071×body2048valid
1.1s4920×body256valid
394.0ms868×body512valid
Bogosity

preprocess6.0ms (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)

simplify13.0ms (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
32.2b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
32.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
6.0b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
25.8b
(sin.f64 (/.f64 x (*.f64 y 2)))
26.5b
(tan.f64 (/.f64 x (*.f64 y 2)))
Compiler

Compiled 38 to 25 computations (34.2% saved)

series12.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
3.0ms
x
@0
(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
(tan.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)))

rewrite82.0ms (0.5%)

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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simplify134.0ms (0.8%)

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))
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(+.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)))))
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(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))))

eval152.0ms (0.9%)

Compiler

Compiled 8186 to 5947 computations (27.4% saved)

prune87.0ms (0.5%)

Pruning

45 alts after pruning (45 fresh and 0 done)

PrunedKeptTotal
New16345208
Fresh000
Picked101
Done000
Total16445209
Error
23.4b
Counts
209 → 45
Alt Table
Click to see full alt table
StatusErrorProgram
32.2b
(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
32.2b
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)
33.1b
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (*.f64 y 2))))
33.0b
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
33.0b
(/.f64 (/.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))))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
33.3b
(/.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))))
48.7b
(/.f64 (/.f64 (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (sin.f64 (/.f64 x (*.f64 y 2))))
33.2b
(/.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
60.0b
(/.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 1) (sin.f64 (/.f64 x (*.f64 y 2))))
33.0b
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
33.0b
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
48.1b
(/.f64 (*.f64 (/.f64 (fabs.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))))) (sin.f64 (/.f64 x (*.f64 y 2))))
48.6b
(/.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))))
33.0b
(/.f64 (*.f64 (fabs.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (*.f64 (/.f64 (fabs.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
33.0b
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (/.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (/.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))) (sin.f64 (/.f64 x (*.f64 y 2))))
35.2b
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2))))
32.9b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
60.0b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
41.3b
(/.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)))))
32.4b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
60.0b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
60.0b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
46.5b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (fabs.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))
48.9b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
52.3b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
32.4b
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (/.f64 x (*.f64 y 2))))
32.2b
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
53.4b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
32.4b
(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
59.1b
(/.f64 (log.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
46.4b
(/.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
49.3b
(/.f64 (exp.f64 (log.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
51.8b
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3)) (sin.f64 (/.f64 x (*.f64 y 2))))
26.2b
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
32.2b
(*.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))))))
32.3b
(*.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)))
32.9b
(*.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)))))
32.9b
(*.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)))))
48.4b
(*.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))))))
32.8b
(*.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))))))
33.0b
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
33.1b
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
32.2b
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
32.2b
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
26.8b
1
Compiler

Compiled 2083 to 1571 computations (24.6% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 1/2 (/.f64 x y))
0.1b
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
25.8b
(cos.f64 (*.f64 1/2 (/.f64 x y)))
Compiler

Compiled 28 to 15 computations (46.4% saved)

series6.0ms (0%)

Counts
3 → 24
Calls

18 calls:

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

rewrite83.0ms (0.5%)

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
01153
122353
2268253
Stop Event
node limit
Counts
3 → 192
Calls
Call 1
Inputs
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x y))
Outputs
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x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 x y))))))))

simplify112.0ms (0.6%)

Algorithm
egg-herbie
Rules
824×associate-/l*
792×distribute-rgt-in
780×distribute-lft-in
486×associate-/l/
456×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05037344
111946872
247576846
Stop Event
node limit
Counts
216 → 329
Calls
Call 1
Inputs
1
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(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))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(/.f64 1/2 (/.f64 y x))
(/.f64 x (/.f64 y 1/2))
(/.f64 (*.f64 1/2 (/.f64 x y)) 1)
(/.f64 1 (/.f64 (/.f64 y x) 1/2))
(/.f64 (*.f64 1/2 x) y)
(/.f64 (*.f64 1/2 x) (/.f64 y 1))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) 1/2))
(/.f64 (sqrt.f64 (*.f64 1/2 x)) (/.f64 y (sqrt.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 (*.f64 1/2 x))) (/.f64 y (cbrt.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 1/2 (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(/.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))
(/.f64 (/.f64 1/2 y) (/.f64 1 x))
(/.f64 (*.f64 1/2 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 y x)))
(/.f64 (*.f64 x -1/2) (neg.f64 y))
(/.f64 (/.f64 x 2) y)
(/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) (sqrt.f64 y))
(/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 y))
(/.f64 -1/2 (/.f64 y (neg.f64 x)))
(/.f64 (*.f64 1/2 (/.f64 x 1)) y)
(/.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 1/2 (/.f64 x (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (*.f64 1 (/.f64 x 2)) y)
(/.f64 (*.f64 1 (/.f64 1/2 (/.f64 (sqrt.f64 y) x))) (sqrt.f64 y))
(/.f64 (*.f64 1 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x))) (cbrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) (sqrt.f64 (*.f64 1/2 x))) (sqrt.f64 y))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2) (cbrt.f64 (*.f64 1/2 x))) (cbrt.f64 y))
(/.f64 (*.f64 (*.f64 1/2 x) -1) (neg.f64 y))
(/.f64 (*.f64 (*.f64 1/2 x) (/.f64 1 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 (*.f64 1/2 x) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 x y))) 1) (sqrt.f64 (/.f64 y x)))
(/.f64 (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 x y))) (sqrt.f64 x)) (sqrt.f64 y))
(/.f64 (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 x y) 2))) 1) (cbrt.f64 (/.f64 y x)))
(/.f64 (*.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 x y) 2))) (cbrt.f64 x)) (cbrt.f64 y))
(/.f64 (*.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 x y) 2))) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 y)))
(/.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) 1/2) 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 (*.f64 x -1/2) 1) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x 2) 1) y)
(/.f64 (*.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) 1) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) 1) (cbrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 y))
(/.f64 (*.f64 1 (*.f64 1/2 (sqrt.f64 (/.f64 x y)))) (sqrt.f64 (/.f64 y x)))
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 1/2 (sqrt.f64 (/.f64 x y)))) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (*.f64 1/2 (sqrt.f64 (/.f64 x y)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2)) (cbrt.f64 y))
(/.f64 (*.f64 1/2 (/.f64 x (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 1/2 (*.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (/.f64 y x)))) (cbrt.f64 (/.f64 y x)))
(/.f64 (/.f64 1/2 (/.f64 1 (sqrt.f64 x))) (/.f64 y (sqrt.f64 x)))
(/.f64 (/.f64 1/2 (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (/.f64 y (cbrt.f64 x)))
(/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) 1)) (/.f64 (sqrt.f64 y) x))
(/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) (sqrt.f64 x))) (/.f64 (sqrt.f64 y) (sqrt.f64 x)))
(/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sqrt.f64 y) (cbrt.f64 x)))
(/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) (/.f64 (cbrt.f64 y) x))
(/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))
(/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (cbrt.f64 y) (cbrt.f64 x)))
(/.f64 (/.f64 (*.f64 1/2 x) (cbrt.f64 y)) (pow.f64 (cbrt.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 1/2 (/.f64 (sqrt.f64 y) x)) 1) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) 1) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(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)
(neg.f64 (*.f64 (/.f64 x (neg.f64 y)) 1/2))
(neg.f64 (*.f64 1/2 (/.f64 x (neg.f64 y))))
(neg.f64 (/.f64 (*.f64 1/2 x) (neg.f64 y)))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/4))
(log.f64 (pow.f64 (exp.f64 (/.f64 x y)) 1/2))
(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))))
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 (pow.f64 (/.f64 x 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 (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 (pow.f64 (/.f64 x y) 2) (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 (pow.f64 (/.f64 x y) 2) 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 (pow.f64 (/.f64 x y) 2) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 -1/46080 (/.f64 (pow.f64 y 6) (pow.f64 x 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 (pow.f64 (/.f64 x 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 (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 (pow.f64 (/.f64 x y) 2) (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 (pow.f64 (/.f64 x y) 2) 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 (pow.f64 (/.f64 x y) 2) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 -1/46080 (/.f64 (pow.f64 y 6) (pow.f64 x 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 (pow.f64 (/.f64 x 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 (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 (pow.f64 (/.f64 x y) 2) (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 (pow.f64 (/.f64 x y) 2) 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 (pow.f64 (/.f64 x y) 2) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 -1/46080 (/.f64 (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 (pow.f64 (/.f64 x y) 2) 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 (pow.f64 (/.f64 x y) 2) 1/8 (/.f64 (*.f64 (pow.f64 x 4) 5/384) (pow.f64 y 4))))
(+.f64 1 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384)))
(+.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 (pow.f64 (/.f64 x y) 2) 1/8 (*.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 (pow.f64 (/.f64 x y) 2) 1/8 (/.f64 61/46080 (/.f64 (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 (pow.f64 (/.f64 x y) 2) 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 (pow.f64 (/.f64 x y) 2) 1/8 (/.f64 (*.f64 (pow.f64 x 4) 5/384) (pow.f64 y 4))))
(+.f64 1 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 (*.f64 (/.f64 (pow.f64 x 4) (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 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))))
(-.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 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 1/8 (*.f64 x (*.f64 x (*.f64 (pow.f64 x 4) -5/384))))) (pow.f64 y 6)))
(-.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1) (+.f64 (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384)) (/.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 (pow.f64 (/.f64 x y) 2) 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)))
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(/.f64 (sqrt.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 y)) (sqrt.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 y)) (sqrt.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (*.f64 1 (*.f64 1/2 (sqrt.f64 (/.f64 x y)))) (sqrt.f64 (/.f64 y x)))
(/.f64 1/2 (/.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 1/2 (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 x y)))
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 1/2 (sqrt.f64 (/.f64 x y)))) (sqrt.f64 y))
(/.f64 (*.f64 1/2 (sqrt.f64 (/.f64 x y))) (/.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 1/2 (sqrt.f64 (/.f64 x y))))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (*.f64 1/2 (sqrt.f64 (/.f64 x y)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (neg.f64 x)) 1/2) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (neg.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 y))) (*.f64 1/2 (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 (*.f64 1/2 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2)) (cbrt.f64 y))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2) (/.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2))
(/.f64 (*.f64 1/2 (/.f64 x (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 1/2 (*.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (/.f64 y x)))) (cbrt.f64 (/.f64 y x)))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 1/2 (/.f64 1 (sqrt.f64 x))) (/.f64 y (sqrt.f64 x)))
(/.f64 (*.f64 1/2 (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (/.f64 1/2 (/.f64 y (sqrt.f64 x))))
(/.f64 (/.f64 1/2 (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) y) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 y 1/2)))
(/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) 1)) (/.f64 (sqrt.f64 y) x))
(/.f64 1/2 (/.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y))))
(*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 x (/.f64 1/2 (*.f64 (sqrt.f64 y) (sqrt.f64 y))))
(/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) (sqrt.f64 x))) (/.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) (sqrt.f64 x)) (sqrt.f64 y)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sqrt.f64 x))))
(/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sqrt.f64 y) (cbrt.f64 x)))
(*.f64 (/.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 y)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (/.f64 1/2 (*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) 2)))))
(/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) (/.f64 (cbrt.f64 y) x))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))
(/.f64 1/2 (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 x))))
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2))) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (/.f64 1/2 (*.f64 (cbrt.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 x)))))
(/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (cbrt.f64 y) (cbrt.f64 x)))
(*.f64 (/.f64 (*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 y)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (/.f64 (*.f64 1/2 x) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 (*.f64 x -1/2) 1) (neg.f64 y))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))
(/.f64 1/2 (/.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y))))
(*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 x (/.f64 1/2 (*.f64 (sqrt.f64 y) (sqrt.f64 y))))
(/.f64 (/.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 y) 2)) (neg.f64 (cbrt.f64 y)))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 (*.f64 x -1/2) -1) y)
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 (*.f64 x -1/2) (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y)))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 (*.f64 x -1/2) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 1/2 (/.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y))))
(*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 x (/.f64 1/2 (*.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 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 (/.f64 x 2) 1) y)
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 (/.f64 x 2) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) 1) (sqrt.f64 y))
(/.f64 1/2 (/.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y))))
(*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 x (/.f64 1/2 (*.f64 (sqrt.f64 y) (sqrt.f64 y))))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y)))
(*.f64 (/.f64 (/.f64 1/2 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 1/2 (cbrt.f64 (sqrt.f64 y))) (/.f64 (/.f64 x (sqrt.f64 y)) (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 y))) (*.f64 (sqrt.f64 (cbrt.f64 y)) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))))
(*.f64 (/.f64 1/2 (sqrt.f64 (cbrt.f64 y))) (/.f64 (/.f64 x (sqrt.f64 y)) (fabs.f64 (cbrt.f64 y))))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(/.f64 1/2 (/.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y))))
(*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 x (/.f64 1/2 (*.f64 (sqrt.f64 y) (sqrt.f64 y))))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) 1) (cbrt.f64 y))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (*.f64 x (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))
(*.f64 (/.f64 x (cbrt.f64 (cbrt.f64 y))) (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))
(*.f64 (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (cbrt.f64 y))) (/.f64 x (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (*.f64 x (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2))) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))
(/.f64 x (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))) (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2))))
(*.f64 (/.f64 x (cbrt.f64 (sqrt.f64 y))) (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (sqrt.f64 y))))
(pow.f64 (*.f64 1/2 (/.f64 x y)) 1)
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3)
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(neg.f64 (*.f64 (/.f64 x (neg.f64 y)) 1/2))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(neg.f64 (*.f64 1/2 (/.f64 x (neg.f64 y))))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(neg.f64 (/.f64 (*.f64 1/2 x) (neg.f64 y)))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/4))
(log.f64 (pow.f64 (exp.f64 (/.f64 x y)) 1/2))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 1/2 (/.f64 x y))
5.9b
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2))))
25.8b
(sin.f64 (/.f64 x (*.f64 y 2)))
Compiler

Compiled 40 to 23 computations (42.5% saved)

series5.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite73.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1006×associate-/r/
972×swap-sqr
958×associate-/l/
554×distribute-lft-neg-in
504×distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01335
127935
2382435
Stop Event
node limit
Counts
1 → 63
Calls
Call 1
Inputs
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 (/.f64 x y) (sin.f64 (*.f64 1/2 (/.f64 x y))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 x y) (/.f64 1 (sin.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (/.f64 x y) (sin.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (*.f64 1/2 (/.f64 1 (sin.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 1/2 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 1 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 (/.f64 x y) (sin.f64 (*.f64 1/2 (/.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/2 (/.f64 (/.f64 x y) (sin.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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simplify68.0ms (0.4%)

Algorithm
egg-herbie
Rules
1530×associate-/l*
1214×times-frac
928×associate-/r*
916×*-commutative
580×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02363643
16383583
224013505
Stop Event
node limit
Counts
87 → 102
Calls
Call 1
Inputs
1
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1
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1
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(*.f64 (/.f64 1/2 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) (cbrt.f64 (/.f64 x y)))
(*.f64 (/.f64 1 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/2)) (/.f64 x y))
(*.f64 (/.f64 1 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (sqrt.f64 (*.f64 1/2 (/.f64 x y))))) (sqrt.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 1 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2))) (cbrt.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2) (sin.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (*.f64 1/2 (/.f64 (/.f64 x y) (sin.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 (/.f64 x y) (sin.f64 (*.f64 1/2 (/.f64 x y)))))) 2)
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (/.f64 x y) (sin.f64 (*.f64 1/2 (/.f64 x y)))))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 (/.f64 x y) (sin.f64 (*.f64 1/2 (/.f64 x y))))) 3) 1/3)
(pow.f64 (*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (/.f64 y x))) -1)
(neg.f64 (/.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (/.f64 y (neg.f64 x)))))
(neg.f64 (*.f64 (/.f64 x (neg.f64 y)) (*.f64 1/2 (/.f64 1 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))
(neg.f64 (*.f64 (*.f64 (/.f64 x y) -1/2) (/.f64 1 (sin.f64 (*.f64 1/2 (/.f64 x y))))))
(neg.f64 (*.f64 (/.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (/.f64 y (neg.f64 x)))) 1))
(neg.f64 (*.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 1 (neg.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))
(neg.f64 (*.f64 1 (/.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (/.f64 y (neg.f64 x))))))
(neg.f64 (*.f64 (/.f64 1 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (*.f64 (/.f64 x y) -1/2)))
(neg.f64 (*.f64 (/.f64 1/2 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (/.f64 x (neg.f64 y))))
(neg.f64 (/.f64 (/.f64 x (neg.f64 y)) (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/2)))
(neg.f64 (/.f64 (*.f64 (/.f64 x y) -1/2) (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (/.f64 x y) (sin.f64 (*.f64 1/2 (/.f64 x y))))) 2))
(log.f64 (exp.f64 (*.f64 1/2 (/.f64 (/.f64 x y) (sin.f64 (*.f64 1/2 (/.f64 x y)))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 (/.f64 x y) (sin.f64 (*.f64 1/2 (/.f64 x y))))))))
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (/.f64 x y) (sin.f64 (*.f64 1/2 (/.f64 x y))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 (/.f64 x y) (sin.f64 (*.f64 1/2 (/.f64 x y)))))))
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 (/.f64 x y) (sin.f64 (*.f64 1/2 (/.f64 x y)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 (/.f64 x y) (sin.f64 (*.f64 1/2 (/.f64 x y)))))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 (/.f64 x y) (sin.f64 (*.f64 1/2 (/.f64 x y)))))))
Outputs
1
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(fma.f64 1/24 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 7/5760 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
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(*.f64 (/.f64 x y) (/.f64 1/2 (sin.f64 (*.f64 1/2 (/.f64 x y)))))
1
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1
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(*.f64 1/2 (/.f64 x (*.f64 y (sin.f64 (*.f64 1/2 (/.f64 x y))))))
(*.f64 (/.f64 x y) (/.f64 1/2 (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(neg.f64 (*.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 1 (neg.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x (*.f64 y (sin.f64 (*.f64 1/2 (/.f64 x y))))))
(*.f64 (/.f64 x y) (/.f64 1/2 (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(neg.f64 (*.f64 1 (/.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (/.f64 y (neg.f64 x))))))
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x (*.f64 y (sin.f64 (*.f64 1/2 (/.f64 x y))))))
(*.f64 (/.f64 x y) (/.f64 1/2 (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(neg.f64 (*.f64 (/.f64 1 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (*.f64 (/.f64 x y) -1/2)))
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x (*.f64 y (sin.f64 (*.f64 1/2 (/.f64 x y))))))
(*.f64 (/.f64 x y) (/.f64 1/2 (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(neg.f64 (*.f64 (/.f64 1/2 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (/.f64 x (neg.f64 y))))
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x (*.f64 y (sin.f64 (*.f64 1/2 (/.f64 x y))))))
(*.f64 (/.f64 x y) (/.f64 1/2 (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(neg.f64 (/.f64 (/.f64 x (neg.f64 y)) (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/2)))
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x (*.f64 y (sin.f64 (*.f64 1/2 (/.f64 x y))))))
(*.f64 (/.f64 x y) (/.f64 1/2 (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(neg.f64 (/.f64 (*.f64 (/.f64 x y) -1/2) (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x (*.f64 y (sin.f64 (*.f64 1/2 (/.f64 x y))))))
(*.f64 (/.f64 x y) (/.f64 1/2 (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (/.f64 x y) (sin.f64 (*.f64 1/2 (/.f64 x y))))) 2))
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x (*.f64 y (sin.f64 (*.f64 1/2 (/.f64 x y))))))
(*.f64 (/.f64 x y) (/.f64 1/2 (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(log.f64 (exp.f64 (*.f64 1/2 (/.f64 (/.f64 x y) (sin.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x (*.f64 y (sin.f64 (*.f64 1/2 (/.f64 x y))))))
(*.f64 (/.f64 x y) (/.f64 1/2 (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 (/.f64 x y) (sin.f64 (*.f64 1/2 (/.f64 x y))))))))
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x (*.f64 y (sin.f64 (*.f64 1/2 (/.f64 x y))))))
(*.f64 (/.f64 x y) (/.f64 1/2 (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (/.f64 x y) (sin.f64 (*.f64 1/2 (/.f64 x y))))) 3))
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x (*.f64 y (sin.f64 (*.f64 1/2 (/.f64 x y))))))
(*.f64 (/.f64 x y) (/.f64 1/2 (sin.f64 (*.f64 1/2 (/.f64 x y)))))
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(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x (*.f64 y (sin.f64 (*.f64 1/2 (/.f64 x y))))))
(*.f64 (/.f64 x y) (/.f64 1/2 (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 (/.f64 x y) (sin.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x (*.f64 y (sin.f64 (*.f64 1/2 (/.f64 x y))))))
(*.f64 (/.f64 x y) (/.f64 1/2 (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 (/.f64 x y) (sin.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x (*.f64 y (sin.f64 (*.f64 1/2 (/.f64 x y))))))
(*.f64 (/.f64 x y) (/.f64 1/2 (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 (/.f64 x y) (sin.f64 (*.f64 1/2 (/.f64 x y)))))) 1))
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x (*.f64 y (sin.f64 (*.f64 1/2 (/.f64 x y))))))
(*.f64 (/.f64 x y) (/.f64 1/2 (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 (/.f64 x y) (sin.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x (*.f64 y (sin.f64 (*.f64 1/2 (/.f64 x y))))))
(*.f64 (/.f64 x y) (/.f64 1/2 (sin.f64 (*.f64 1/2 (/.f64 x y)))))

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.7b
(expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
6.0b
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
25.7b
(sin.f64 (*.f64 x (/.f64 1/2 y)))
26.3b
(tan.f64 (*.f64 x (/.f64 1/2 y)))
Compiler

Compiled 67 to 46 computations (31.3% saved)

series11.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
3.0ms
x
@0
(expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
2.0ms
y
@-inf
(expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
2.0ms
y
@inf
(expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
0.0ms
y
@-inf
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
0.0ms
y
@inf
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))

rewrite89.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1632×associate-*r/
1292×associate-*l/
1112×associate-/r*
816×associate-/l*
254×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012116
1249116
23133116
Stop Event
node limit
Counts
4 → 140
Calls
Call 1
Inputs
(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))))
(expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
Outputs
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simplify337.0ms (1.9%)

Algorithm
egg-herbie
Rules
1318×times-frac
876×associate-/l*
782×associate-*r*
712×associate-/r*
546×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060514650
1166614060
Stop Event
node limit
Counts
236 → 269
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))
(+.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)))
(+.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))))
(+.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)))))
(*.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))))))
(/.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)))))))))
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(exp.f64 (log.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1))
(log1p.f64 (expm1.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))))))
(/.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 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (pow.f64 x 5) (/.f64 (pow.f64 y 5) 1/3840)))) (fma.f64 -1/8 (/.f64 (pow.f64 x 3) (/.f64 (/.f64 (pow.f64 y 5) (*.f64 x x)) 1/24)) (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 (+.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 -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 (pow.f64 x 5) (/.f64 (pow.f64 y 5) 1/3840))))) (fma.f64 -1/8 (/.f64 (pow.f64 x 3) (/.f64 (/.f64 (pow.f64 y 5) (*.f64 x x)) 1/24)) (fma.f64 -1/8 (/.f64 (*.f64 x x) (/.f64 (pow.f64 y 7) (-.f64 (*.f64 (pow.f64 x 5) 1/3840) (fma.f64 -1/8 (*.f64 (pow.f64 x 3) (*.f64 1/24 (*.f64 x x))) (*.f64 (pow.f64 x 5) 1/768))))) (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 (pow.f64 x 3) (/.f64 (/.f64 (pow.f64 y 7) (pow.f64 x 4)) 1/24)) (*.f64 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) -1/92160)))))))
(*.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 x (*.f64 x (*.f64 (pow.f64 x 3) -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 -1/8 (*.f64 x (*.f64 x (+.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 1/8 (*.f64 x (*.f64 x (*.f64 (pow.f64 x 3) -1/24))))))) (fma.f64 1/92160 (pow.f64 x 7) (*.f64 (*.f64 1/384 (pow.f64 x 4)) (*.f64 (pow.f64 x 3) -1/24))))) (pow.f64 y 7))) (/.f64 (+.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 1/8 (*.f64 x (*.f64 x (*.f64 (pow.f64 x 3) -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))
(+.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 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840)))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (pow.f64 x 5) (/.f64 (pow.f64 y 5) 1/3840))))
(+.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 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840))))
(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 (pow.f64 x 5) (/.f64 (pow.f64 y 5) 1/3840)))))
(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 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/48))
(+.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 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840)))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (pow.f64 x 5) (/.f64 (pow.f64 y 5) 1/3840))))
(+.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 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840))))
(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 (pow.f64 x 5) (/.f64 (pow.f64 y 5) 1/3840)))))
(*.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))
(+.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 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840)))
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (pow.f64 x 5) (/.f64 (pow.f64 y 5) 1/3840))))
(+.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 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840))))
(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 (pow.f64 x 5) (/.f64 (pow.f64 y 5) 1/3840)))))
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)))
(+.f64 1 (*.f64 (/.f64 1/8 y) (/.f64 (*.f64 x x) y)))
(+.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 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 (/.f64 1/8 y) (/.f64 (*.f64 x 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 (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))))
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(/.f64 (+.f64 (exp.f64 (+.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)))))) -1) (+.f64 1 (exp.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 (+.f64 -1 (exp.f64 (*.f64 2 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))))) (+.f64 1 (exp.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3) 1) 1) (+.f64 (+.f64 (*.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) (exp.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1) (*.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3) -1) (+.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) (+.f64 1 (exp.f64 (+.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 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))) 3)) (+.f64 1 (+.f64 (exp.f64 (*.f64 2 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))))) (exp.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))))))
(pow.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1)
(expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(expm1.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 2)
(expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(expm1.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 3)
(expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(expm1.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3) 1/3)
(expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(expm1.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2))
(fabs.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))))
(log.f64 (exp.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(expm1.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))))
(expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(expm1.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3))
(expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(expm1.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(exp.f64 (log.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(expm1.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1))
(expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(expm1.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(expm1.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))))

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
6.0b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
18.9b
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))
25.7b
(sin.f64 (*.f64 x (/.f64 1/2 y)))
26.5b
(tan.f64 (/.f64 x (*.f64 y 2)))
Compiler

Compiled 68 to 48 computations (29.4% saved)

series2.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite80.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1910×associate-/l*
370×associate-/r/
350×add-sqr-sqrt
332×associate-/l/
332×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01756
137056
2453556
Stop Event
node limit
Counts
2 → 60
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
Outputs
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simplify87.0ms (0.5%)

Algorithm
egg-herbie
Rules
1476×associate-*r/
1128×associate-+l+
912×associate--r+
874×+-commutative
760×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03205610
19035456
240105456
Stop Event
node limit
Counts
108 → 119
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))))))
(/.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
(-.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 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))) (*.f64 -2 (/.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))))) (*.f64 (pow.f64 y 4) 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 -1/3840 (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))))) (*.f64 (pow.f64 y 4) x))) (+.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 -2 (/.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)))))) (*.f64 (pow.f64 y 6) x)))))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.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))))) x)) (+.f64 (*.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))) (*.f64 1/1920 (pow.f64 x 4)))) (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)))))))))
(-.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 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 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2) 1/3))
(*.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 (pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2) 1/3) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (pow.f64 1 1/3) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3/2) 1/3) (pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3/2) 1/3))
(pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3)
(pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)
(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)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1/3))
(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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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))) (cbrt.f64 (pow.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 1/2 (/.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 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 (*.f64 1/8 x) (/.f64 (*.f64 y y) x))))
(+.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 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (/.f64 (*.f64 1/8 x) (/.f64 (*.f64 y y) x)))))
(/.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) (*.f64 y y)) (/.f64 1/24 x)) (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/24)))
(+.f64 1 (fma.f64 2 (*.f64 (/.f64 (pow.f64 x 3) (*.f64 y y)) (/.f64 1/24 x)) (/.f64 (*.f64 (*.f64 1/24 x) x) (*.f64 y y))))
(-.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 2 (/.f64 (*.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) (*.f64 y y)) (/.f64 1/24 x)) (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (fma.f64 -1/8 (*.f64 x (*.f64 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 (fma.f64 2 (/.f64 (pow.f64 x 3) (/.f64 x 1/24)) (*.f64 (*.f64 x x) 1/24)) (pow.f64 y 4)) (*.f64 x x))))))
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(*.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 2)) (/.f64 (cbrt.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))) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 2)) (/.f64 (cbrt.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))))

localize45.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
4.4b
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
6.5b
(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
25.7b
(sin.f64 (*.f64 x (/.f64 1/2 y)))
26.3b
(tan.f64 (*.f64 x (/.f64 1/2 y)))
Compiler

Compiled 94 to 69 computations (26.6% saved)

series20.0ms (0.1%)

Counts
2 → 24
Calls

12 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
2.0ms
y
@0
(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
2.0ms
x
@inf
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
2.0ms
x
@-inf
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
2.0ms
y
@0
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))

rewrite74.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1498×associate-*r/
1192×associate-*l/
1116×associate-/r*
798×associate-/l*
254×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01264
124964
2313364
Stop Event
node limit
Counts
2 → 65
Calls
Call 1
Inputs
(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
Outputs
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simplify95.0ms (0.5%)

Algorithm
egg-herbie
Rules
1350×associate-*r/
1170×associate-/l*
958×times-frac
842×associate-+r-
728×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01633857
13443845
214373845
374023845
Stop Event
node limit
Counts
89 → 88
Calls
Call 1
Inputs
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3)
(pow.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2) (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1/3)
(pow.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2) (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1/3)
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(pow.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2) (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1/3)
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(pow.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2) (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1/3)
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(pow.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2) (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1/3)
(pow.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2) (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1/3)
(pow.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2) (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1/3)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) 1)
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1)
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(/.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1/3)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 3)
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(*.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)
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(pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) -1)
(neg.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(sqrt.f64 (pow.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(log.f64 (exp.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(exp.f64 (log.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
Outputs
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3)
(cbrt.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(pow.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2) (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1/3)
(cbrt.f64 (/.f64 1 (*.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2))))
(pow.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2) (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1/3)
(cbrt.f64 (/.f64 1 (*.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2))))
(pow.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2) (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1/3)
(cbrt.f64 (/.f64 1 (*.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2))))
(pow.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2) (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1/3)
(cbrt.f64 (/.f64 1 (*.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2))))
(pow.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2) (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1/3)
(cbrt.f64 (/.f64 1 (*.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2))))
(pow.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2) (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1/3)
(cbrt.f64 (/.f64 1 (*.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2))))
(pow.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2) (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1/3)
(cbrt.f64 (/.f64 1 (*.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2))))
(pow.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2) (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1/3)
(cbrt.f64 (/.f64 1 (*.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2))))
(pow.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2) (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1/3)
(cbrt.f64 (/.f64 1 (*.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2))))
(pow.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2) (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1/3)
(cbrt.f64 (/.f64 1 (*.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2))))
(pow.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2) (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1/3)
(cbrt.f64 (/.f64 1 (*.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2))))
(pow.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2) (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1/3)
(cbrt.f64 (/.f64 1 (*.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) 1)
(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
(cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
(cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
(cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1/6) (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1/6))
(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
(cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2))
(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
(cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))
(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
(cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
(cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1/3) (pow.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2)))
(/.f64 1 (/.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (*.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 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (/.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (cbrt.f64 (cos.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 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)) (/.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1/3)
(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
(cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
(cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1/6) 2)
(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
(cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 3)
(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
(cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))
(sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
(cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))
(log.f64 (exp.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))
(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
(cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))))
(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
(cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))
(expm1.f64 (log1p.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))
(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
(cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (log.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))
(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
(cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1/3))
(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
(cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
(cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))
(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
(cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1)
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1/6) (*.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1/6) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (cbrt.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) (cbrt.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (neg.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 -1 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 1 (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 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (*.f64 1 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(/.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))))
(*.f64 (/.f64 -1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (neg.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1/6) 1) (/.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1/6) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1/6) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1/6))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 (pow.f64 (tan.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 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1/6) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (*.f64 1 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(/.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2) 1) (/.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.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 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.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 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (cbrt.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (pow.f64 (cbrt.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)))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))) 2) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (cbrt.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 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (cbrt.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))) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)) 1/3)
(cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(cbrt.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) -1)
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(neg.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(sqrt.f64 (pow.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(log.f64 (exp.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(cbrt.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (log.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y))))

eval1.6s (8.9%)

Compiler

Compiled 49554 to 35901 computations (27.6% saved)

prune630.0ms (3.6%)

Pruning

90 alts after pruning (87 fresh and 3 done)

PrunedKeptTotal
New1430721502
Fresh251540
Picked101
Done134
Total1457901547
Error
22.6b
Counts
1547 → 90
Alt Table
Click to see full alt table
StatusErrorProgram
28.3b
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2)
26.2b
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)
32.2b
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)
33.1b
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (*.f64 y 2))))
52.4b
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
33.0b
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
48.7b
(/.f64 (/.f64 (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (sin.f64 (/.f64 x (*.f64 y 2))))
33.2b
(/.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
26.2b
(/.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
36.0b
(/.f64 (/.f64 1/2 (/.f64 y x)) (sin.f64 (/.f64 x (*.f64 y 2))))
60.0b
(/.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 1) (sin.f64 (/.f64 x (*.f64 y 2))))
33.0b
(/.f64 (*.f64 (fabs.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (*.f64 (/.f64 (fabs.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
41.1b
(/.f64 (*.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)))))
35.3b
(/.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
48.7b
(/.f64 (*.f64 1/2 (/.f64 x y)) (fabs.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))
32.9b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
35.1b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 1/2 (/.f64 x y)))
32.4b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
60.0b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
60.0b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
52.3b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
56.6b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (cbrt.f64 (pow.f64 (fabs.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 3)))
32.4b
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (/.f64 x (*.f64 y 2))))
53.4b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
56.5b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
46.4b
(/.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
28.8b
(/.f64 1 (fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) 1))
32.0b
(/.f64 1 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1))
26.2b
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3))
26.3b
(/.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))))))))
26.2b
(/.f64 1 (/.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))))))))
26.2b
(/.f64 1 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1))
27.1b
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
26.2b
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
26.2b
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
26.2b
(/.f64 1 (expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
41.7b
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)))
26.1b
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)))
26.1b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 x 2) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))))
26.4b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))))
46.6b
(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))))
26.2b
(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 y))))
45.6b
(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sqrt.f64 y) (cbrt.f64 x)))))
55.3b
(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) (sqrt.f64 x))) (/.f64 (sqrt.f64 y) (sqrt.f64 x)))))
26.6b
(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (*.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (/.f64 y x)))) (cbrt.f64 (/.f64 y x)))))
26.1b
(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x))))
26.3b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2) (cbrt.f64 (*.f64 1/2 x))) (cbrt.f64 y))))
26.2b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) 1/2) (cbrt.f64 y))))
45.9b
(/.f64 1 (cos.f64 (/.f64 (*.f64 x (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2))) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))))
26.2b
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))))
45.7b
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y)))))
25.9b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
26.2b
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
26.1b
(/.f64 1 (cos.f64 (*.f64 (/.f64 (*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 y)) (cbrt.f64 x))))
26.1b
(/.f64 1 (cos.f64 (*.f64 (/.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) y) (cbrt.f64 x))))
45.6b
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))
46.7b
(/.f64 1 (cos.f64 (*.f64 (sqrt.f64 x) (/.f64 1/2 (/.f64 y (sqrt.f64 x))))))
26.3b
(/.f64 1 (cos.f64 (*.f64 (cbrt.f64 x) (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 x) 2))))))
45.7b
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 (*.f64 (sqrt.f64 y) (sqrt.f64 y))))))
26.2b
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
26.2b
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
27.8b
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))))
27.5b
(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3))))
33.3b
(*.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 3) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
33.4b
(*.f64 (/.f64 (pow.f64 (/.f64 (*.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 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cbrt.f64 (sin.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)))))
33.0b
(*.f64 (/.f64 (pow.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
33.1b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
32.6b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)))
33.1b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
59.9b
(*.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)))) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))
33.1b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
33.1b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y)))))
46.7b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (cbrt.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
60.2b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (log1p.f64 (expm1.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
33.0b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
33.0b
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
35.4b
(*.f64 (/.f64 1/2 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) x)) (/.f64 1 y))
35.3b
(*.f64 1/2 (/.f64 x (*.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) y)))
27.1b
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))
32.6b
(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 3))
32.3b
(log1p.f64 (log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))))
53.8b
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))))
32.2b
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
46.5b
(log1p.f64 (expm1.f64 (/.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
26.2b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
32.9b
(log1p.f64 (expm1.f64 (*.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)))))))
32.2b
(log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)))
28.3b
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
26.2b
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)))
26.8b
1
Compiler

Compiled 3524 to 2696 computations (23.5% saved)

localize69.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2)))
0.3b
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
0.5b
(cbrt.f64 (*.f64 x 1/2))
25.7b
(cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2)))))
Compiler

Compiled 82 to 61 computations (25.6% saved)

series22.0ms (0.1%)

Counts
4 → 48
Calls

21 calls:

TimeVariablePointExpression
9.0ms
y
@inf
(/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2)))
3.0ms
y
@0
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
3.0ms
y
@0
(/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2)))
1.0ms
y
@inf
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
1.0ms
x
@0
(/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2)))

rewrite133.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1370×associate-/r/
998×associate-/l/
958×swap-sqr
484×distribute-lft-neg-in
440×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012114
125174
2343474
Stop Event
node limit
Counts
4 → 183
Calls
Call 1
Inputs
(cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2)))))
(cbrt.f64 (*.f64 x 1/2))
(/.f64 y (cbrt.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2)))
Outputs
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simplify103.0ms (0.6%)

Algorithm
egg-herbie
Rules
1526×times-frac
1324×distribute-lft-neg-in
880×associate-/r*
748×associate-*r*
594×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04245287
110635125
263405125
Stop Event
node limit
Counts
231 → 218
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
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(+.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
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(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
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(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
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(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
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(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))))) 1)
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(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))) 2))) (cbrt.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))))
(*.f64 (/.f64 1 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))))) (sqrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))) 2))) (cbrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (*.f64 x 1/2))) 1) (/.f64 y (cbrt.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)) (/.f64 y (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 x)) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (*.f64 x 1/2))) (neg.f64 (cbrt.f64 (*.f64 x 1/2)))) (neg.f64 y))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (*.f64 x 1/2))) (/.f64 (cbrt.f64 (*.f64 x 1/2)) 1)) y)
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (*.f64 x 1/2))) (/.f64 (cbrt.f64 (*.f64 x 1/2)) (sqrt.f64 y))) (sqrt.f64 y))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (*.f64 x 1/2))) (/.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))))) (sqrt.f64 (/.f64 y (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 y (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)))) (cbrt.f64 (/.f64 y (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)))))) (cbrt.f64 (/.f64 y (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)))))
(*.f64 (neg.f64 (/.f64 (neg.f64 (sqrt.f64 y)) (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 x 1/2))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))) 2))) (cbrt.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))))
(pow.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)) 1)
(pow.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 x 1/2))) 2)
(pow.f64 (cbrt.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))) 3)
(pow.f64 (pow.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)) 3) 1/3)
(pow.f64 (*.f64 1 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) y)) -1)
(neg.f64 (/.f64 y (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))))
(neg.f64 (/.f64 (/.f64 y (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))) 1))
(sqrt.f64 (pow.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)) 2))
(log.f64 (exp.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)))))
(cbrt.f64 (pow.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) 3) (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))))
(exp.f64 (-.f64 (log.f64 y) (*.f64 (log.f64 (*.f64 x 1/2)) 2/3)))
(exp.f64 (*.f64 (-.f64 (log.f64 y) (*.f64 (log.f64 (*.f64 x 1/2)) 2/3)) 1))
(log1p.f64 (expm1.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))))
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 y 6) (pow.f64 x 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)))
(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 y 6) (pow.f64 x 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 y 6) (pow.f64 x 6)))))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))))) 1)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 1)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 1 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (sqrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) (sqrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 2))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 2) (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(pow.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 1)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 2)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 3)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(pow.f64 (pow.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 3) 1/3)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 2))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 1 y) (*.f64 x 1/2))) 2))
(fabs.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(log.f64 (exp.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cbrt.f64 (pow.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 3))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(expm1.f64 (log1p.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(exp.f64 (log.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 1))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(log1p.f64 (expm1.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/2)))) 1)
(cbrt.f64 (*.f64 x 1/2))
(*.f64 (cbrt.f64 (*.f64 x 1/2)) 1)
(cbrt.f64 (*.f64 x 1/2))
(*.f64 1 (cbrt.f64 (*.f64 x 1/2)))
(cbrt.f64 (*.f64 x 1/2))
(*.f64 (pow.f64 (*.f64 x 1/2) 1/6) (pow.f64 (*.f64 x 1/2) 1/6))
(cbrt.f64 (*.f64 x 1/2))
(*.f64 (pow.f64 (*.f64 x 1/2) 1/6) (neg.f64 (neg.f64 (pow.f64 (*.f64 x 1/2) 1/6))))
(cbrt.f64 (*.f64 x 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2))
(cbrt.f64 (*.f64 x 1/2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))
(cbrt.f64 (*.f64 x 1/2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2) (neg.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))))
(cbrt.f64 (*.f64 x 1/2))
(*.f64 (cbrt.f64 x) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (neg.f64 (neg.f64 (cbrt.f64 1/2))))
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(*.f64 (/.f64 y (pow.f64 (*.f64 x 1/2) 1/6)) (/.f64 (/.f64 1 (cbrt.f64 (*.f64 x 1/2))) (pow.f64 (*.f64 x 1/2) 1/6)))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2)))))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 y (cbrt.f64 x)) (/.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 1/4)))
(*.f64 (/.f64 y (cbrt.f64 x)) (/.f64 1 (*.f64 (cbrt.f64 1/4) (cbrt.f64 x))))
(/.f64 (/.f64 y (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (cbrt.f64 1/4)))
(*.f64 (/.f64 1 (pow.f64 (*.f64 x 1/2) 1/6)) (/.f64 (/.f64 y (pow.f64 (*.f64 x 1/2) 1/6)) (cbrt.f64 (*.f64 x 1/2))))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)) (/.f64 y (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2)))))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (/.f64 y (cbrt.f64 x)) (cbrt.f64 1/4)))
(*.f64 (/.f64 y (cbrt.f64 x)) (/.f64 1 (*.f64 (cbrt.f64 1/4) (cbrt.f64 x))))
(/.f64 (/.f64 y (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (cbrt.f64 1/4)))
(*.f64 -1 (/.f64 y (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 y)) (cbrt.f64 (*.f64 x 1/2))) (/.f64 (neg.f64 (sqrt.f64 y)) (cbrt.f64 (*.f64 x 1/2))))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))) 2)) (neg.f64 (cbrt.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)))))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 -1 (cbrt.f64 (*.f64 x 1/2))) (/.f64 y (neg.f64 (cbrt.f64 (*.f64 x 1/2)))))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)) y)
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (*.f64 x 1/2))) (pow.f64 (*.f64 x 1/2) 1/6)) (/.f64 y (pow.f64 (*.f64 x 1/2) 1/6)))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)) (sqrt.f64 y))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x 1/2))) (sqrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))) (sqrt.f64 y)) (sqrt.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))))) (sqrt.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (*.f64 x 1/2))) (/.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 x 1/2))))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)) (/.f64 (sqrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))) (cbrt.f64 1/2)))
(/.f64 (/.f64 y (cbrt.f64 1/2)) (*.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))) 2) 1) (/.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 x 1/2))))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))) 2) (pow.f64 (*.f64 x 1/2) 1/6)) (/.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))) (pow.f64 (*.f64 x 1/2) 1/6)))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))))
(*.f64 (cbrt.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))) (cbrt.f64 1/2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))) (cbrt.f64 1/2)))
(/.f64 (/.f64 y (cbrt.f64 1/2)) (*.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))) 2))) (cbrt.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 1 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))))) (sqrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 1 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))) 2))) (cbrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 y))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (*.f64 x 1/2))) 1) (/.f64 y (cbrt.f64 (*.f64 x 1/2))))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)) (/.f64 y (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 x)) (/.f64 y (cbrt.f64 1/2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))) (cbrt.f64 1/2)))
(/.f64 (/.f64 y (cbrt.f64 1/2)) (*.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (*.f64 x 1/2))) (neg.f64 (cbrt.f64 (*.f64 x 1/2)))) (neg.f64 y))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (*.f64 x 1/2))) (/.f64 (cbrt.f64 (*.f64 x 1/2)) 1)) y)
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (*.f64 x 1/2))) (/.f64 (cbrt.f64 (*.f64 x 1/2)) (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (*.f64 x 1/2))) (/.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))))) (sqrt.f64 (/.f64 y (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)))))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 y (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)))) (cbrt.f64 (/.f64 y (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)))))) (cbrt.f64 (/.f64 y (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)))))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(*.f64 (neg.f64 (/.f64 (neg.f64 (sqrt.f64 y)) (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 x 1/2))))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))) 2))) (cbrt.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(pow.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)) 1)
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(pow.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 x 1/2))) 2)
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(pow.f64 (cbrt.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))) 3)
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(pow.f64 (pow.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)) 3) 1/3)
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(pow.f64 (*.f64 1 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) y)) -1)
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(neg.f64 (/.f64 y (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(neg.f64 (/.f64 (/.f64 y (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))) 1))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(sqrt.f64 (pow.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)) 2))
(fabs.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)))
(log.f64 (exp.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)))))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(cbrt.f64 (pow.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)) 3))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) 3) (*.f64 x 1/2)))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(expm1.f64 (log1p.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(exp.f64 (-.f64 (log.f64 y) (*.f64 (log.f64 (*.f64 x 1/2)) 2/3)))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(exp.f64 (*.f64 (-.f64 (log.f64 y) (*.f64 (log.f64 (*.f64 x 1/2)) 2/3)) 1))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(log1p.f64 (expm1.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))))
(/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))

localize12.0ms (0.1%)

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))
25.9b
(cos.f64 (*.f64 x (/.f64 1/2 y)))
Compiler

Compiled 28 to 19 computations (32.1% saved)

series2.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite99.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01153
122453
2262953
Stop Event
node limit
Counts
3 → 197
Calls
Call 1
Inputs
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(*.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 (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 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (neg.f64 (neg.f64 (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 *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) (neg.f64 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simplify145.0ms (0.8%)

Algorithm
egg-herbie
Rules
1104×associate-/l*
898×distribute-rgt-in
884×distribute-lft-in
524×associate-/l/
484×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05047301
112027011
253757011
Stop Event
node limit
Counts
269 → 299
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))
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))))
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(/.f64 (*.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)) 1) (cbrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 y))
(/.f64 (*.f64 1 (/.f64 x (sqrt.f64 (*.f64 y 2)))) (sqrt.f64 (*.f64 y 2)))
(/.f64 (*.f64 (sqrt.f64 1/2) (/.f64 x (sqrt.f64 (*.f64 y 2)))) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 -1/2) (/.f64 x (sqrt.f64 (*.f64 y 2)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 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 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.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 x (/.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)) 1) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(pow.f64 (*.f64 x (/.f64 1/2 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3) 1/3)
(neg.f64 (/.f64 (*.f64 x 1/2) (neg.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 1/2 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 1/2 y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/2 y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 1)
(*.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(*.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)))
(*.f64 (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 -1 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1)
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) -1))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)))))
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (/.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))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2))))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3/2) (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3/2))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)) 1/6) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)) 1/6))
(pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1)
(pow.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) 2)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -2)
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3)
(pow.f64 (/.f64 1 (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 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.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))))))
(+.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 y 6) (pow.f64 x 6)))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (/.f64 x 2) y))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (/.f64 x 2) y))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (/.f64 x 2) y))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (/.f64 x 2) y))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (/.f64 x 2) y))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (/.f64 x 2) y))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (/.f64 x 2) y))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (/.f64 x 2) y))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (/.f64 x 2) y))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (/.f64 x 2) y))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (/.f64 x 2) y))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (/.f64 x 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 -1/46080 (/.f64 (pow.f64 y 6) (pow.f64 x 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 y 6) (pow.f64 x 6)))))
(*.f64 1/2 (/.f64 x y))
(/.f64 (/.f64 x 2) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (/.f64 x 2) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (/.f64 x 2) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (/.f64 x 2) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (/.f64 x 2) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (/.f64 x 2) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (/.f64 x 2) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (/.f64 x 2) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (/.f64 x 2) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (/.f64 x 2) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (/.f64 x 2) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (/.f64 x 2) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (/.f64 x 2) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (/.f64 x 2) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (/.f64 x 2) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (/.f64 x 2) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (/.f64 x 2) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (/.f64 x 2) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (/.f64 x 2) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (/.f64 x 2) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (/.f64 x 2) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (/.f64 x 2) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (/.f64 x 2) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (/.f64 x 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 (*.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 1/8 (*.f64 x x)) (*.f64 y y))))
(+.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)))
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384)))
(+.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 (/.f64 x y) (/.f64 x y)) 1/8 (/.f64 61/46080 (/.f64 (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 2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 x 2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 x 2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 x 2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 x 2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 x 2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 x 2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 x 2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 x 2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 x 2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 x 2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 x 2) y)))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
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(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)) 1/6) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)) 1/6))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (/.f64 (/.f64 x 2) y)) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1)
(/.f64 1 (cos.f64 (/.f64 (/.f64 x 2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(/.f64 1 (cos.f64 (/.f64 (/.f64 x 2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) 2)
(/.f64 1 (cos.f64 (/.f64 (/.f64 x 2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -2)
(/.f64 1 (cos.f64 (/.f64 (/.f64 x 2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3)
(/.f64 1 (cos.f64 (/.f64 (/.f64 x 2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (/.f64 (/.f64 x 2) y)) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x 2) y)) -2))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 x 2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 x 2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (/.f64 (/.f64 x 2) y)) 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 x (/.f64 1/2 y))))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 x 2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 x 2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 x 2) y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
0.1b
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
0.3b
(log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
25.8b
(cos.f64 (*.f64 1/2 (/.f64 x y)))
Compiler

Compiled 45 to 26 computations (42.2% saved)

series119.0ms (0.7%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
67.0ms
x
@inf
(log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
36.0ms
y
@0
(log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
11.0ms
x
@-inf
(log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
2.0ms
y
@inf
(log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1.0ms
x
@0
(log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))

rewrite131.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1066×associate-*r/
1022×*-commutative
948×associate-/r*
702×associate-*l/
630×swap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01361
126161
2291461
Stop Event
node limit
Counts
3 → 122
Calls
Call 1
Inputs
(log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 1 (expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 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simplify118.0ms (0.7%)

Algorithm
egg-herbie
Rules
1392×associate-+r+
1032×associate-/r/
876×associate-/l/
466×+-commutative
382×associate-+r-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03347412
17657124
233757032
Stop Event
node limit
Counts
194 → 232
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 -1/1536 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (log.f64 2) (*.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (*.f64 -1/1536 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1/92160 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(log.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/24 (/.f64 (+.f64 (*.f64 -3/64 (pow.f64 x 4)) (*.f64 1/32 (pow.f64 x 4))) (pow.f64 y 4))) (*.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 -1/128 (pow.f64 x 6)) (+.f64 (*.f64 -15/256 (pow.f64 x 6)) (*.f64 15/256 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 1/24 (/.f64 (+.f64 (*.f64 -3/64 (pow.f64 x 4)) (*.f64 1/32 (pow.f64 x 4))) (pow.f64 y 4))) (*.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/24 (/.f64 (+.f64 (*.f64 -3/64 (pow.f64 x 4)) (*.f64 1/32 (pow.f64 x 4))) (pow.f64 y 4))) (*.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 -1/128 (pow.f64 x 6)) (+.f64 (*.f64 -15/256 (pow.f64 x 6)) (*.f64 15/256 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 1/24 (/.f64 (+.f64 (*.f64 -3/64 (pow.f64 x 4)) (*.f64 1/32 (pow.f64 x 4))) (pow.f64 y 4))) (*.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
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))))))
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
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(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (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
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (log.f64 2) (*.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y))))
(fma.f64 -1/16 (*.f64 (/.f64 x y) (/.f64 x y)) (log.f64 2))
(+.f64 (*.f64 -1/1536 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (log.f64 2) (*.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(fma.f64 -1/1536 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (log.f64 2) (*.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y)))))
(fma.f64 -1/1536 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/16 (*.f64 (/.f64 x y) (/.f64 x y)) (log.f64 2)))
(+.f64 (*.f64 -1/1536 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1/92160 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(fma.f64 -1/1536 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (log.f64 2) (fma.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -1/92160 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 (fma.f64 -1/16 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 -1/92160 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))) (fma.f64 -1/1536 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (log.f64 2)))
(+.f64 (*.f64 -1/92160 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (fma.f64 -1/1536 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/16 (*.f64 (/.f64 x y) (/.f64 x y)) (log.f64 2))))
(log.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(log.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(log.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(log.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(log.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(log.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(log.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(log.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(log.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(log.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(log.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(log.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (log.f64 2) (*.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y))))
(fma.f64 -1/16 (*.f64 (/.f64 x y) (/.f64 x y)) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/24 (/.f64 (+.f64 (*.f64 -3/64 (pow.f64 x 4)) (*.f64 1/32 (pow.f64 x 4))) (pow.f64 y 4))) (*.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(fma.f64 -1/1536 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (log.f64 2) (*.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y)))))
(fma.f64 -1/1536 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/16 (*.f64 (/.f64 x y) (/.f64 x y)) (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 -1/128 (pow.f64 x 6)) (+.f64 (*.f64 -15/256 (pow.f64 x 6)) (*.f64 15/256 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 1/24 (/.f64 (+.f64 (*.f64 -3/64 (pow.f64 x 4)) (*.f64 1/32 (pow.f64 x 4))) (pow.f64 y 4))) (*.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(+.f64 (log.f64 2) (fma.f64 1/720 (/.f64 (fma.f64 -1/128 (pow.f64 x 6) (*.f64 (pow.f64 x 6) 0)) (pow.f64 y 6)) (fma.f64 1/24 (/.f64 (*.f64 (pow.f64 x 4) -1/64) (pow.f64 y 4)) (*.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y))))))
(+.f64 (log.f64 2) (fma.f64 1/720 (/.f64 (*.f64 (pow.f64 x 6) -1/128) (pow.f64 y 6)) (fma.f64 -1/16 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 -1/1536 (pow.f64 x 4)) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/1536 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/16 (*.f64 (/.f64 x y) (/.f64 x y)) (log.f64 2))) (/.f64 1/720 (/.f64 (pow.f64 y 6) (*.f64 (pow.f64 x 6) -1/128))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (log.f64 2) (*.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y))))
(fma.f64 -1/16 (*.f64 (/.f64 x y) (/.f64 x y)) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/24 (/.f64 (+.f64 (*.f64 -3/64 (pow.f64 x 4)) (*.f64 1/32 (pow.f64 x 4))) (pow.f64 y 4))) (*.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(fma.f64 -1/1536 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (log.f64 2) (*.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y)))))
(fma.f64 -1/1536 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/16 (*.f64 (/.f64 x y) (/.f64 x y)) (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 -1/128 (pow.f64 x 6)) (+.f64 (*.f64 -15/256 (pow.f64 x 6)) (*.f64 15/256 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 1/24 (/.f64 (+.f64 (*.f64 -3/64 (pow.f64 x 4)) (*.f64 1/32 (pow.f64 x 4))) (pow.f64 y 4))) (*.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(+.f64 (log.f64 2) (fma.f64 1/720 (/.f64 (fma.f64 -1/128 (pow.f64 x 6) (*.f64 (pow.f64 x 6) 0)) (pow.f64 y 6)) (fma.f64 1/24 (/.f64 (*.f64 (pow.f64 x 4) -1/64) (pow.f64 y 4)) (*.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y))))))
(+.f64 (log.f64 2) (fma.f64 1/720 (/.f64 (*.f64 (pow.f64 x 6) -1/128) (pow.f64 y 6)) (fma.f64 -1/16 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 -1/1536 (pow.f64 x 4)) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/1536 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/16 (*.f64 (/.f64 x y) (/.f64 x y)) (log.f64 2))) (/.f64 1/720 (/.f64 (pow.f64 y 6) (*.f64 (pow.f64 x 6) -1/128))))
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 (*.f64 (/.f64 x y) (/.f64 x y)) -1/8 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 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/384))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/384 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 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/384)))
(+.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/8 1) (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/384 (/.f64 (*.f64 (pow.f64 x 6) -1/46080) (pow.f64 y 6))))
(+.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/8 1) (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/384 (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -1/46080)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
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 (*.f64 (/.f64 x y) (/.f64 x y)) -1/8 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 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/384))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/384 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 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/384)))
(+.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/8 1) (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/384 (/.f64 (*.f64 (pow.f64 x 6) -1/46080) (pow.f64 y 6))))
(+.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/8 1) (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/384 (*.f64 (/.f64 (pow.f64 x 6) (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 (*.f64 (/.f64 x y) (/.f64 x y)) -1/8 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 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/384))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/384 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 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/384)))
(+.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/8 1) (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/384 (/.f64 (*.f64 (pow.f64 x 6) -1/46080) (pow.f64 y 6))))
(+.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/8 1) (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/384 (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -1/46080)))
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)))
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384)))
(+.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 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
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)))
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(/.f64 (sqrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -1/2))
(/.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (cbrt.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 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (cbrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (*.f64 (cbrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))
(/.f64 (sqrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) (*.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -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 (cbrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (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 (cbrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))
(/.f64 (sqrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))))))
(/.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 (sqrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -1/2))
(/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) 1) (cbrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (cbrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (cbrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))))
(/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (sqrt.f64 (cbrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) (sqrt.f64 (cbrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (cbrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (cbrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))))
(/.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 (cbrt.f64 (/.f64 1 (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 (cbrt.f64 (/.f64 1 (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 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (cbrt.f64 (cbrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))
(/.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -2))) (cbrt.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))))))
(/.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 (/.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (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 y x))) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -1/2))))
(/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (cbrt.f64 (cbrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (cbrt.f64 (cbrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (cbrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (cbrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3) 1/3)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(neg.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(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)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(exp.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(-.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 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(*.f64 1 (/.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 y x))))
(*.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(*.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 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(*.f64 (cbrt.f64 (/.f64 1 (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)) (cbrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -2)) (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (cbrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -2)) (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))))
(*.f64 -1 (/.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 y x))))
(*.f64 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(*.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 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(*.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 (+.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 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 1 (*.f64 (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))
(*.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 (+.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 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 1 (*.f64 (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))
(*.f64 (/.f64 1 (-.f64 (*.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)) 1)) (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2))
(/.f64 (+.f64 2 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (*.f64 (+.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1) (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (+.f64 2 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (*.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (+.f64 2 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (+.f64 2 (cos.f64 (/.f64 1/2 (/.f64 y x)))) (*.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) (+.f64 2 (cos.f64 (/.f64 1/2 (/.f64 y x))))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) 3) 1)) (+.f64 (*.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)) (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2)))
(/.f64 (fma.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (+.f64 2 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (+.f64 (pow.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3) -1))
(/.f64 (+.f64 2 (fma.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cos.f64 (*.f64 1/2 (/.f64 x y))))) (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)))
(/.f64 (+.f64 (*.f64 (+.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) (+.f64 2 (cos.f64 (/.f64 1/2 (/.f64 y x))))) 1) (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 3)))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(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))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(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)))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 3)))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -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))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(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))))
(/.f64 1 (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 1/2 (/.f64 y x))) 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))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(exp.f64 (neg.f64 (log.f64 (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 y x))))
(log1p.f64 (expm1.f64 (/.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 y x))))

localize65.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
6.0b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
11.9b
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2))
25.8b
(sin.f64 (/.f64 x (*.f64 y 2)))
26.3b
(tan.f64 (*.f64 x (/.f64 1/2 y)))
Compiler

Compiled 67 to 47 computations (29.9% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite109.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1876×associate-/l*
414×distribute-lft-neg-in
370×associate-/r/
332×associate-/l/
328×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01656
134456
2426156
Stop Event
node limit
Counts
2 → 95
Calls
Call 1
Inputs
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2))
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
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 (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 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simplify168.0ms (1%)

Algorithm
egg-herbie
Rules
1404×associate--r+
1222×+-commutative
1196×associate-+r+
630×associate-*r*
600×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04377899
112487671
260687649
Stop Event
node limit
Counts
143 → 173
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))))
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(/.f64 -1 (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (pow.f64 1 1/2) (/.f64 1 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 4)) 1/2) (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1/2)))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2) 1/2)
(pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3)
(neg.f64 (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(fabs.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
(log.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 1/2))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1))
(tan.f64 (*.f64 x (/.f64 1/2 y)))
(log1p.f64 (expm1.f64 (tan.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 (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))))) (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 (/.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 (pow.f64 x 5) (/.f64 (pow.f64 y 5) 1/3840)))) (fma.f64 -1/8 (/.f64 (pow.f64 x 3) (/.f64 (/.f64 (pow.f64 y 5) (*.f64 x x)) 1/24)) (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 (fma.f64 1/2 (/.f64 x y) (/.f64 (pow.f64 x 5) (/.f64 (pow.f64 y 5) 1/3840))) (-.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 -1/8 (/.f64 (pow.f64 x 3) (/.f64 (/.f64 (pow.f64 y 5) (*.f64 x x)) 1/24)) (*.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 1/2 (/.f64 x y) (/.f64 (pow.f64 x 5) (/.f64 (pow.f64 y 5) 1/3840))))) (fma.f64 -1/8 (/.f64 (pow.f64 x 3) (/.f64 (/.f64 (pow.f64 y 5) (*.f64 x x)) 1/24)) (fma.f64 -1/8 (*.f64 (/.f64 (-.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)))))) (pow.f64 y 7)) (*.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 1/384 (/.f64 (*.f64 1/24 (pow.f64 x 3)) (/.f64 (pow.f64 y 7) (pow.f64 x 4))) (*.f64 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) -1/92160)))))))
(*.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))))
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(/.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))))

localize100.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
6.5b
(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
25.7b
(sin.f64 (*.f64 x (/.f64 1/2 y)))
26.3b
(tan.f64 (*.f64 x (/.f64 1/2 y)))
26.5b
(tan.f64 (*.f64 1/2 (/.f64 x y)))
Compiler

Compiled 115 to 76 computations (33.9% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite57.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1900×add-sqr-sqrt
1882×*-un-lft-identity
1748×add-cube-cbrt
1728×add-cbrt-cube
188×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
118717
2231517
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(tan.f64 (*.f64 1/2 (/.f64 x y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))))))

simplify57.0ms (0.3%)

Algorithm
egg-herbie
Rules
1220×times-frac
1140×associate-/l*
588×*-commutative
560×associate-+l+
506×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01612180
14472128
219112074
Stop Event
node limit
Counts
46 → 50
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))
(+.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)))
(+.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))))
(+.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)))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(*.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 1)
(*.f64 1 (tan.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 1 (/.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (sin.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 (neg.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 1)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 3) 1/3)
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 3))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))
(exp.f64 (log.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 1))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 1/2 (/.f64 x 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)))
(fma.f64 1/2 (/.f64 x y) (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.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)))
(fma.f64 1/2 (/.f64 x y) (*.f64 1/24 (/.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 (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 (pow.f64 x 5) (/.f64 (pow.f64 y 5) 1/768)))))
(+.f64 (fma.f64 1/2 (/.f64 x y) (*.f64 (/.f64 1/3840 (pow.f64 y 5)) (pow.f64 x 5))) (-.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 -1/8 (*.f64 (*.f64 x x) (/.f64 (pow.f64 x 3) (/.f64 (pow.f64 y 5) 1/24))) (*.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 1/2 (/.f64 x y) (*.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 -1/8 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 5) 1/3840) (fma.f64 (pow.f64 x 5) 1/768 (*.f64 -1/8 (*.f64 x (*.f64 x (*.f64 1/24 (pow.f64 x 3))))))) (pow.f64 y 7)) (*.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 1/384 (/.f64 (*.f64 1/24 (pow.f64 x 3)) (/.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 1/2 (/.f64 x y) (*.f64 (/.f64 1/3840 (pow.f64 y 5)) (pow.f64 x 5))))) (-.f64 (*.f64 1/8 (*.f64 (*.f64 x x) (+.f64 (/.f64 (pow.f64 x 3) (/.f64 (pow.f64 y 5) 1/24)) (/.f64 (+.f64 (*.f64 (pow.f64 x 5) -1/960) (*.f64 -1/8 (*.f64 x (*.f64 x (*.f64 (pow.f64 x 3) -1/24))))) (pow.f64 y 7))))) (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 1/384 (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 4)) (/.f64 (pow.f64 y 7) 1/24)) (*.f64 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) -1/92160))))))
(*.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 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.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 -1/24 (*.f64 x x))))) (pow.f64 y 5)))
(-.f64 (fma.f64 1/2 (/.f64 x y) (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (/.f64 (+.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 x (*.f64 x (*.f64 (*.f64 (pow.f64 x 3) -1/24) 1/8)))) (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 -1/24 (*.f64 x x)))))) (*.f64 x x) (fma.f64 1/384 (*.f64 (*.f64 (pow.f64 x 4) (pow.f64 x 3)) -1/24) (*.f64 (pow.f64 x 7) 1/92160)))) (pow.f64 y 7))) (/.f64 (+.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 1/8 (*.f64 (pow.f64 x 3) (*.f64 -1/24 (*.f64 x x))))) (pow.f64 y 5)))
(-.f64 (fma.f64 1/2 (/.f64 x y) (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (+.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 x (*.f64 x (*.f64 (*.f64 (pow.f64 x 3) -1/24) 1/8)))) (pow.f64 y 5)) (/.f64 (-.f64 (*.f64 (pow.f64 x 7) 1/645120) (fma.f64 (*.f64 -1/8 (+.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 x (*.f64 x (*.f64 (*.f64 (pow.f64 x 3) -1/24) 1/8))))) (*.f64 x x) (fma.f64 (pow.f64 x 7) 1/92160 (*.f64 1/384 (*.f64 -1/24 (*.f64 (pow.f64 x 3) (pow.f64 x 4))))))) (pow.f64 y 7))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 1)
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 1 (tan.f64 (*.f64 1/2 (/.f64 x y))))
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2))
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (/.f64 1 (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 (/.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (sin.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 (neg.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (neg.f64 (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))))
(pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 1)
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2)
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 3)
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(pow.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 3) 1/3)
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 2))
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(log.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))))
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 3))
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(exp.f64 (log.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 1))
(tan.f64 (*.f64 1/2 (/.f64 x y)))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))
(tan.f64 (*.f64 1/2 (/.f64 x y)))

eval1.2s (6.6%)

Compiler

Compiled 43158 to 32142 computations (25.5% saved)

prune1.0s (5.8%)

Pruning

122 alts after pruning (118 fresh and 4 done)

PrunedKeptTotal
New1422691491
Fresh334982
Picked101
Done347
Total14591221581
Error
21.5b
Counts
1581 → 122
Alt Table
Click to see full alt table
StatusErrorProgram
28.3b
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2)
26.2b
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3)
28.3b
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -2)
26.3b
(pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)
33.1b
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (*.f64 y 2))))
52.4b
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
33.0b
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
32.8b
(/.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2))
33.2b
(/.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
36.0b
(/.f64 (/.f64 1/2 (/.f64 y x)) (sin.f64 (/.f64 x (*.f64 y 2))))
33.0b
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2) (/.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (cos.f64 (*.f64 1/2 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
35.3b
(/.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
48.7b
(/.f64 (*.f64 1/2 (/.f64 x y)) (fabs.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))
32.9b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
35.1b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 1/2 (/.f64 x y)))
32.4b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
60.0b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
56.6b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (cbrt.f64 (pow.f64 (fabs.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 3)))
32.4b
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (/.f64 x (*.f64 y 2))))
62.2b
(/.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
53.4b
(/.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
53.5b
(/.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))
53.3b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
46.4b
(/.f64 (fabs.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
46.4b
(/.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
28.8b
(/.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/8 1))
28.3b
(/.f64 1 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 2))
26.2b
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 3))
26.2b
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3))
26.2b
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3))
26.2b
(/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x 2) y)) -2))))))
26.2b
(/.f64 1 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))
26.3b
(/.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))))))))
26.2b
(/.f64 1 (/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)) 1) (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2)))
28.2b
(/.f64 1 (/.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 y x))) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -1/2)))))
26.1b
(/.f64 1 (/.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))
26.2b
(/.f64 1 (-.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2) 2))
26.2b
(/.f64 1 (-.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) 1))
26.2b
(/.f64 1 (*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))))
28.2b
(/.f64 1 (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) (/.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -1/2))))
26.1b
(/.f64 1 (*.f64 (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))
27.1b
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
26.2b
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
26.2b
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))))))
26.2b
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
27.1b
(/.f64 1 (fabs.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
26.2b
(/.f64 1 (expm1.f64 (fma.f64 -1/16 (*.f64 (/.f64 x y) (/.f64 x y)) (log.f64 2))))
29.6b
(/.f64 1 (expm1.f64 (+.f64 (log.f64 2) (*.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y))))))
26.2b
(/.f64 1 (expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
27.3b
(/.f64 1 (expm1.f64 (fabs.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
32.5b
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3) 1/3)))
41.7b
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2)))
26.1b
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)))
46.8b
(/.f64 1 (cos.f64 (/.f64 (pow.f64 (*.f64 x 1/2) 1/3) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
26.0b
(/.f64 1 (cos.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 3) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
26.5b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))))
26.1b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 x 2) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))))
26.2b
(/.f64 1 (cos.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)) (cbrt.f64 y))))
45.7b
(/.f64 1 (cos.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 y) 1/2)) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y)))))
26.3b
(/.f64 1 (cos.f64 (/.f64 (/.f64 x (*.f64 (cbrt.f64 (*.f64 y 2)) (cbrt.f64 (*.f64 y 2)))) (cbrt.f64 (*.f64 y 2)))))
45.6b
(/.f64 1 (cos.f64 (/.f64 (/.f64 x (sqrt.f64 (*.f64 y 2))) (sqrt.f64 (*.f64 y 2)))))
46.6b
(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))))
26.2b
(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 y))))
55.3b
(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) (sqrt.f64 x))) (/.f64 (sqrt.f64 y) (sqrt.f64 x)))))
26.6b
(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (*.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (/.f64 y x)))) (cbrt.f64 (/.f64 y x)))))
26.1b
(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x))))
25.9b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
29.1b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (*.f64 x (cbrt.f64 (*.f64 1/4 (pow.f64 y -2)))) (cbrt.f64 1/2)) (cbrt.f64 y))))
26.2b
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))))
46.8b
(/.f64 1 (cos.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 x 1/2)) 1/3)) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
46.8b
(/.f64 1 (cos.f64 (/.f64 (exp.f64 (log.f64 (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
29.6b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (*.f64 y 2) (cbrt.f64 x)))))
45.8b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 x 1/2))) 2))))
26.2b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))) 3))))
37.6b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 (pow.f64 (pow.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) 3) 1/3) (cbrt.f64 (*.f64 x 1/2))))))
26.1b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))) 3) (cbrt.f64 (*.f64 x 1/2))))))
26.3b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 (/.f64 y (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))) (cbrt.f64 (*.f64 x 1/2))))))
46.6b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (pow.f64 (pow.f64 (*.f64 x 1/2) 1/6) 2)))))
46.6b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (pow.f64 (*.f64 x 1/2) 1/3)))))
25.9b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
46.3b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
46.6b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (*.f64 x 1/2) 1/6)) (/.f64 (cbrt.f64 y) (pow.f64 (*.f64 x 1/2) 1/6))) (cbrt.f64 (*.f64 x 1/2))))))
46.5b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (/.f64 1 (pow.f64 (*.f64 x 1/2) 1/6)) (/.f64 y (pow.f64 (*.f64 x 1/2) 1/6))) (cbrt.f64 (*.f64 x 1/2))))))
26.2b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)))))
29.4b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2))))))
26.3b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))) 2) (cbrt.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)))))))
46.7b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))) 2) (pow.f64 (*.f64 x 1/2) 1/6)) (/.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))) (pow.f64 (*.f64 x 1/2) 1/6))))))
29.5b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2))))))
27.0b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (sqrt.f64 (pow.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)) 2)))))
55.5b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (exp.f64 (-.f64 (log.f64 y) (*.f64 (log.f64 (*.f64 x 1/2)) 2/3))))))
29.6b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (/.f64 (pow.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) 3) (*.f64 x 1/2))))))
26.2b
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
26.1b
(/.f64 1 (cos.f64 (*.f64 (/.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) y) (cbrt.f64 x))))
45.6b
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))
46.8b
(/.f64 1 (cos.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 2 y)))))
45.7b
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 (*.f64 (sqrt.f64 y) (sqrt.f64 y))))))
26.2b
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
26.2b
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
27.8b
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))))
35.2b
(/.f64 1 (cos.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 y) 3) (pow.f64 x 3)))))
26.2b
(/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)))
33.3b
(*.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 3) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
33.4b
(*.f64 (/.f64 (pow.f64 (/.f64 (*.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 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cbrt.f64 (sin.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)))))
32.6b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)))
33.1b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
59.9b
(*.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)))) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))
33.1b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
33.1b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y)))))
46.7b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (cbrt.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
60.2b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (log1p.f64 (expm1.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
46.9b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (fabs.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))))
33.0b
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
35.4b
(*.f64 (/.f64 1/2 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) x)) (/.f64 1 y))
35.3b
(*.f64 1/2 (/.f64 x (*.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) y)))
27.1b
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -2))
27.1b
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))
32.6b
(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 3))
46.5b
(log1p.f64 (expm1.f64 (/.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
26.2b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
26.2b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
32.2b
(log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)))
26.8b
1
Compiler

Compiled 4958 to 3910 computations (21.1% saved)

localize86.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(cbrt.f64 (*.f64 x 1/2))
0.6b
(cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))
4.5b
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3)
25.8b
(cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2)))))
Compiler

Compiled 147 to 118 computations (19.7% saved)

series33.0ms (0.2%)

Counts
3 → 36
Calls

12 calls:

TimeVariablePointExpression
14.0ms
x
@0
(cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))
9.0ms
x
@inf
(cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))
3.0ms
x
@0
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3)
2.0ms
x
@-inf
(cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))
2.0ms
x
@-inf
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3)

rewrite84.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1552×associate-/r/
1324×associate-/l/
368×add-sqr-sqrt
352×*-un-lft-identity
348×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018109
138559
2517159
Stop Event
node limit
Counts
3 → 74
Calls
Call 1
Inputs
(cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2)))))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3)
(cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) (sqrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 2) (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 1/6) (pow.f64 (*.f64 x 1/2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 1/2) 1/6) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 2/3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x 1/2) 1/6) 2/3) (pow.f64 (pow.f64 (*.f64 x 1/2) 1/6) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2) 2/3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2/3) (pow.f64 (cbrt.f64 1/2) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 4)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 (cbrt.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/2))) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (cbrt.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 1/6) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/12) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/6) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 4)) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x 1/2) 1/6) 1/3) (pow.f64 (pow.f64 (*.f64 x 1/2) 1/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 1/3) (pow.f64 (cbrt.f64 1/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/2) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 x 1/2)))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))))))))

simplify74.0ms (0.4%)

Algorithm
egg-herbie
Rules
1486×associate-/l*
980×unswap-sqr
914×associate-/r*
866×distribute-lft-in
796×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01954294970080
13902852
213202786
339452786
Stop Event
node limit
Counts
110 → 109
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 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))))) 1)
(*.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 1)
(*.f64 1 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) (sqrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))
(*.f64 (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 2) (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))
(pow.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 1)
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 3)
(pow.f64 (pow.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 2))
(log.f64 (exp.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))))))
(cbrt.f64 (pow.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))
(exp.f64 (log.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2))) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))
(*.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 1/6) (pow.f64 (*.f64 x 1/2) 1/6))
(*.f64 (pow.f64 (*.f64 x 1/2) 1/6) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 4))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 2))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2))
(*.f64 (pow.f64 1 2/3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2))
(*.f64 (pow.f64 (pow.f64 (*.f64 x 1/2) 1/6) 2/3) (pow.f64 (pow.f64 (*.f64 x 1/2) 1/6) 2/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2) 2/3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2/3))
(*.f64 (pow.f64 (cbrt.f64 x) 2/3) (pow.f64 (cbrt.f64 1/2) 2/3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 4)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 2))
(sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 4)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2))))
(cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)))
(exp.f64 (*.f64 2/3 (log.f64 (cbrt.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/2))) 2/3))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (cbrt.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 1)
(*.f64 1 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 1/6) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/12) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/12))
(*.f64 (pow.f64 1 1/6) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 4)) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x 1/2) 1/6) 1/3) (pow.f64 (pow.f64 (*.f64 x 1/2) 1/6) 1/3))
(*.f64 (pow.f64 (cbrt.f64 x) 1/3) (pow.f64 (cbrt.f64 1/2) 1/3))
(pow.f64 (*.f64 x 1/2) 1/9)
(pow.f64 (cbrt.f64 (*.f64 x 1/2)) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/6)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2))
(fabs.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))
(log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 x 1/2)))) 1/6))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/2))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))))
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)
(fma.f64 -1/8 (/.f64 x (*.f64 y (/.f64 y x))) 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))
(fma.f64 -1/8 (/.f64 x (*.f64 y (/.f64 y x))) (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 x (*.f64 y (/.f64 y x))) (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)))
(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)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
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)
(fma.f64 -1/8 (/.f64 x (*.f64 y (/.f64 y x))) 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))
(fma.f64 -1/8 (/.f64 x (*.f64 y (/.f64 y x))) (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 x (*.f64 y (/.f64 y x))) (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)))
(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)
(fma.f64 -1/8 (/.f64 x (*.f64 y (/.f64 y x))) 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))
(fma.f64 -1/8 (/.f64 x (*.f64 y (/.f64 y x))) (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 x (*.f64 y (/.f64 y x))) (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)))
(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 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(*.f64 (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(*.f64 (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(*.f64 (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(*.f64 (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(*.f64 (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(*.f64 (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(*.f64 (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (pow.f64 (cbrt.f64 1/2) 1/3))
(*.f64 (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(*.f64 (*.f64 (pow.f64 (neg.f64 x) 1/18) (pow.f64 (neg.f64 x) 1/18)) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(*.f64 (*.f64 (pow.f64 (neg.f64 x) 1/18) (pow.f64 (neg.f64 x) 1/18)) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(*.f64 (*.f64 (pow.f64 (neg.f64 x) 1/18) (pow.f64 (neg.f64 x) 1/18)) (cbrt.f64 (cbrt.f64 -1/2)))
(*.f64 (pow.f64 (*.f64 -1 x) 1/9) (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3))
(*.f64 (*.f64 (pow.f64 (neg.f64 x) 1/18) (pow.f64 (neg.f64 x) 1/18)) (cbrt.f64 (cbrt.f64 -1/2)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))))) 1)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(*.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 1)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(*.f64 1 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(*.f64 (sqrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) (sqrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(*.f64 (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 2))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 2) (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(pow.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 1)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 2)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 3)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(pow.f64 (pow.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 3) 1/3)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 2))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(log.f64 (exp.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(cbrt.f64 (pow.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 3))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(expm1.f64 (log1p.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(exp.f64 (log.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 1))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(log1p.f64 (expm1.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)
(*.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 1/6) (pow.f64 (*.f64 x 1/2) 1/6))
(*.f64 (pow.f64 (*.f64 x 1/2) 1/6) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 1/6))
(*.f64 (pow.f64 (*.f64 x 1/2) 1/6) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 1/6) (pow.f64 (*.f64 x 1/2) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 4))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 4))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)
(*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)
(*.f64 (pow.f64 1 2/3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)
(*.f64 (pow.f64 (pow.f64 (*.f64 x 1/2) 1/6) 2/3) (pow.f64 (pow.f64 (*.f64 x 1/2) 1/6) 2/3))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x 1/2) 1/6)) (cbrt.f64 (pow.f64 (*.f64 x 1/2) 1/6))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x 1/2) 1/6)) (cbrt.f64 (pow.f64 (*.f64 x 1/2) 1/6))))
(*.f64 (pow.f64 (*.f64 x 1/2) 1/6) (cbrt.f64 (pow.f64 (*.f64 x 1/2) 1/6)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2) 2/3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2/3))
(*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2) 1/3) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2) 1/3)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 1/3)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2))))
(*.f64 (pow.f64 (cbrt.f64 x) 2/3) (pow.f64 (cbrt.f64 1/2) 2/3))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 1/2)) (cbrt.f64 (cbrt.f64 1/2))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (*.f64 (cbrt.f64 (cbrt.f64 1/2)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 1/2)) (cbrt.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 1/2)) (cbrt.f64 (cbrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 4)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 4))))
(sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 4)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2))))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)
(cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)
(exp.f64 (*.f64 2/3 (log.f64 (cbrt.f64 (*.f64 x 1/2)))))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/2))) 2/3))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (cbrt.f64 (*.f64 x 1/2)))) 1))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))) 1)
(cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 1)
(cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))
(*.f64 1 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))
(cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 1/6) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 1/6))
(cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 2))
(cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))))
(cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 4)))) (fabs.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 4)) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/12) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/12))
(cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 1 1/6) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))
(cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 4)) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))
(cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x 1/2) 1/6) 1/3) (pow.f64 (pow.f64 (*.f64 x 1/2) 1/6) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x 1/2) 1/6)) (cbrt.f64 (pow.f64 (*.f64 x 1/2) 1/6)))
(*.f64 (pow.f64 (cbrt.f64 x) 1/3) (pow.f64 (cbrt.f64 1/2) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (*.f64 x 1/2) 1/9)
(*.f64 (pow.f64 (*.f64 x 1/2) 1/18) (pow.f64 (*.f64 x 1/2) 1/18))
(pow.f64 (cbrt.f64 (*.f64 x 1/2)) 1/3)
(cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/6)
(cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2) 1/2)
(cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 1)
(cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 1/6) 2)
(cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 3)
(cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2))
(cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))
(fabs.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))
(cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))
(log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))))
(cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))))
(cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))))
(cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))))
(cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 x 1/2)))) 1/6))
(cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/2))) 1/3))
(cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 1))
(cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))))
(cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
0.7b
(/.f64 1/2 (/.f64 y x))
25.8b
(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)))

rewrite84.0ms (0.5%)

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
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) (neg.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) 1) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) -1) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.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))))))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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simplify94.0ms (0.5%)

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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(*.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)))))
(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 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)))
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (*.f64 (/.f64 (pow.f64 x 4) (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 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))))
(-.f64 (-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4))) (/.f64 (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)))) (pow.f64 y 6)))
(+.f64 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384) (-.f64 (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)))))
(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 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)))
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (*.f64 (/.f64 (pow.f64 x 4) (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 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))))
(-.f64 (-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4))) (/.f64 (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)))) (pow.f64 y 6)))
(+.f64 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384) (-.f64 (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 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)))))
(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 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)))
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384)))
(+.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 (/.f64 x y) (/.f64 x y)) 1/8 (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080))))
(/.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 (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)))
(*.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(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 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (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 -1 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) (neg.f64 (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 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (*.f64 1 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (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 1 (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 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) 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 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
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(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1/2 y)))
(*.f64 1/2 (/.f64 x y))
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(*.f64 (/.f64 1/2 y) (/.f64 x 1))
(*.f64 1/2 (/.f64 x y))
(*.f64 (/.f64 x y) 1/2)
(*.f64 1/2 (/.f64 x y))
(*.f64 (neg.f64 x) (/.f64 -1/2 y))
(*.f64 1/2 (/.f64 x y))
(*.f64 -1/2 (neg.f64 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 1/2 y)) (sqrt.f64 x))
(*.f64 1/2 (/.f64 x y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1/2 y)) (cbrt.f64 x))
(*.f64 1/2 (/.f64 x y))
(*.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 1/2 (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 1/2 (sqrt.f64 (/.f64 x y))))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 x) (sqrt.f64 y))))
(/.f64 (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 x y))) 2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 y x) 2))) (*.f64 1/2 (cbrt.f64 (/.f64 x y))))
(/.f64 (*.f64 1 (*.f64 1/2 (cbrt.f64 (/.f64 x y)))) (cbrt.f64 (pow.f64 (/.f64 y x) 2)))
(/.f64 (*.f64 1/2 (cbrt.f64 (/.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 y x) 2)))
(*.f64 (/.f64 -1/2 y) (neg.f64 x))
(*.f64 1/2 (/.f64 x y))
(*.f64 (/.f64 -1 y) (*.f64 1/2 (neg.f64 x)))
(*.f64 1/2 (/.f64 x y))
(*.f64 (neg.f64 (/.f64 x y)) -1/2)
(*.f64 1/2 (/.f64 x y))
(*.f64 (/.f64 (*.f64 1/2 (sqrt.f64 (/.f64 x y))) 1) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 1/2 (sqrt.f64 (/.f64 x y))))
(*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 x y)) (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 1 (*.f64 1/2 (cbrt.f64 (/.f64 x y)))) (cbrt.f64 (pow.f64 (/.f64 y x) 2)))
(/.f64 (*.f64 1/2 (cbrt.f64 (/.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 y x) 2)))
(*.f64 (/.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 y x) 2))) (cbrt.f64 y)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (/.f64 1/2 (*.f64 (cbrt.f64 y) (cbrt.f64 (pow.f64 (/.f64 y x) 2)))))
(/.f64 1/2 (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 x)) (cbrt.f64 (pow.f64 (/.f64 y x) 2))))
(*.f64 (/.f64 1/2 (/.f64 y (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 1/2 (/.f64 x y))
(*.f64 (/.f64 1/2 (/.f64 y 1)) x)
(*.f64 1/2 (/.f64 x y))
(*.f64 (/.f64 1/2 (/.f64 y (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 1/2 (/.f64 x y))
(*.f64 (/.f64 (/.f64 1/2 y) -1) (neg.f64 x))
(*.f64 1/2 (/.f64 x y))
(*.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 1/2 (/.f64 x y))
(*.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 1/2 (/.f64 x y))
(*.f64 (/.f64 (*.f64 1/2 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 x)))
(/.f64 (*.f64 1/2 (sqrt.f64 (/.f64 x y))) (/.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 x))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (neg.f64 y))) 1/2) (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)))
(*.f64 (/.f64 1/2 (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (pow.f64 (/.f64 y x) 2)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 1/2 (cbrt.f64 (neg.f64 x))) (cbrt.f64 (pow.f64 (/.f64 y x) 2))) (cbrt.f64 (neg.f64 y)))
(*.f64 (/.f64 (/.f64 1/2 (cbrt.f64 (neg.f64 y))) (cbrt.f64 (pow.f64 (/.f64 y x) 2))) (cbrt.f64 (neg.f64 x)))
(pow.f64 (*.f64 1/2 (/.f64 x y)) 1)
(*.f64 1/2 (/.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)
(*.f64 1/2 (/.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)
(*.f64 1/2 (/.f64 x y))
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3)
(*.f64 1/2 (/.f64 x y))
(pow.f64 (/.f64 (*.f64 y 2) x) -1)
(*.f64 1/2 (/.f64 x y))
(sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 y x) 2)))
(log.f64 (pow.f64 (exp.f64 1/2) (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 1/2 (/.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3))
(*.f64 1/2 (/.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x y))
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 x y))))
(*.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)))))
(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))))

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2)
0.2b
(*.f64 x (/.f64 1/2 y))
9.5b
(sqrt.f64 (*.f64 x (/.f64 1/2 y)))
11.9b
(cos.f64 (pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2))
Compiler

Compiled 49 to 36 computations (26.5% saved)

series18.0ms (0.1%)

Counts
3 → 3
Calls

18 calls:

TimeVariablePointExpression
3.0ms
x
@0
(sqrt.f64 (*.f64 x (/.f64 1/2 y)))
3.0ms
x
@0
(cos.f64 (pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2))
2.0ms
x
@-inf
(cos.f64 (pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2))
2.0ms
y
@0
(cos.f64 (pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2))
2.0ms
x
@inf
(cos.f64 (pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2))

rewrite86.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
928×*-commutative
758×associate-*r/
614×unswap-sqr
592×associate-*l/
560×swap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01247
125147
2265147
Stop Event
node limit
Counts
3 → 211
Calls
Call 1
Inputs
(cos.f64 (pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2))
(sqrt.f64 (*.f64 x (/.f64 1/2 y)))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2)
Outputs
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simplify91.0ms (0.5%)

Algorithm
egg-herbie
Rules
1582×distribute-rgt-in
1570×distribute-lft-in
874×associate-/l*
652×associate-*r*
652×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04495898
110105498
244125498
Stop Event
node limit
Counts
214 → 276
Calls
Call 1
Inputs
1
1
1
(+.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) -1)
(-.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)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (*.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3/2) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/6) (pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/6))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (exp.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 1) (+.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1)
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(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 y) 1/2)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 y) 1/2)) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 y) 1/2)) (sqrt.f64 (cbrt.f64 (*.f64 y y)))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 x (/.f64 (cbrt.f64 (*.f64 y y)) 1/2)) 1) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 x (/.f64 (cbrt.f64 (*.f64 y y)) 1/2)) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 x (/.f64 (cbrt.f64 (*.f64 y y)) 1/2)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 x (/.f64 (cbrt.f64 (*.f64 y y)) 1/2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 x (/.f64 (cbrt.f64 (*.f64 y y)) 1/2)) (cbrt.f64 (cbrt.f64 (*.f64 y y)))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y)))) (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y)))) 1))
(neg.f64 (/.f64 (*.f64 x 1/2) (neg.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 1/2 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 1/2 y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/2 y))))
Outputs
1
1
1
(+.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) -1)
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1)
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1)
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(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)))))
(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))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(*.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 x (/.f64 1/2 y)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (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) (*.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)))))))
(*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (*.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (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) (*.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)))))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3/2) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3/2))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/6) (pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/6))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (exp.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 1) (+.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (+.f64 1 (exp.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (+.f64 1 (exp.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))
(pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1)
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3)
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3)
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 2))
(fabs.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(log.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(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)))))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(exp.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))))) -1)
(sqrt.f64 (*.f64 x (/.f64 1/2 y)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))))) 1)
(sqrt.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 1)
(sqrt.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 1 1/2))
(sqrt.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 1 (sqrt.f64 (*.f64 x (/.f64 1/2 y))))
(sqrt.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 1/4) (pow.f64 (*.f64 x (/.f64 1/2 y)) 1/4))
(sqrt.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/2 y)))
(*.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 x))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (*.f64 x (/.f64 1/2 y))))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (sqrt.f64 (*.f64 x 1/2)) (/.f64 1 (sqrt.f64 y)))
(/.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 y))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x (/.f64 1/2 y))))
(sqrt.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y)))))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y)))))))
(sqrt.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 1/4))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 1/4)) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 1/4)))))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 1/4)) (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 1/4))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))))))
(sqrt.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 1/4)) (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 1/4)) (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 1/4)) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 1/4)))))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 1/4)) (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 1/4))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y)))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y)))) 3/2))
(sqrt.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3/2) 1/6) (pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3/2) 1/6))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3/2))
(/.f64 1 (/.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x 1/2))))
(/.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 y))
(/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y 2)))
(/.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 y))
(/.f64 (*.f64 1 (sqrt.f64 (*.f64 x 1/2))) (sqrt.f64 y))
(/.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 1/2)) (sqrt.f64 y))
(/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 y) (sqrt.f64 1/2)))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 1/2))
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 -1/2)) (sqrt.f64 (neg.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 y))) (sqrt.f64 -1/2))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 y))
(/.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x 1/2))) (sqrt.f64 y))
(/.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 (*.f64 x 1/2)) 1) (sqrt.f64 y))
(/.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 x)) (sqrt.f64 y))
(/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 y) (sqrt.f64 1/2)))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 1/2))
(/.f64 (*.f64 (sqrt.f64 -1/2) (sqrt.f64 x)) (sqrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 -1/2)) (sqrt.f64 (neg.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 y))) (sqrt.f64 -1/2))
(/.f64 (*.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 y))
(/.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 x 1/2)) 1) (sqrt.f64 y))
(/.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 y))
(/.f64 (/.f64 (sqrt.f64 (*.f64 x 1/2)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (sqrt.f64 (*.f64 x 1/2)) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 x 1/2)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 y))
(/.f64 (sqrt.f64 (*.f64 x 1/2)) (*.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 y))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(/.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 y))
(/.f64 (/.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (cbrt.f64 (*.f64 y y)))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (sqrt.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 (*.f64 y y)))))
(/.f64 (sqrt.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 y y))) (sqrt.f64 (cbrt.f64 y))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))))) (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y)))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))))) 1))
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(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2)) 1) (cbrt.f64 (*.f64 y 2)))
(/.f64 x (/.f64 (cbrt.f64 (*.f64 y 2)) (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2)))
(*.f64 (/.f64 x (cbrt.f64 (*.f64 y 2))) (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2)) (cbrt.f64 1/2)) (cbrt.f64 y))
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2)) (/.f64 (cbrt.f64 y) (cbrt.f64 1/2)))
(/.f64 x (/.f64 (cbrt.f64 y) (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (cbrt.f64 1/2))))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2)) (cbrt.f64 -1/2)) (cbrt.f64 (neg.f64 y)))
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2)) (/.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 -1/2)))
(/.f64 x (/.f64 (/.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 -1/2)) (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (/.f64 (/.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 -1/2)) x))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 x)) 1) (sqrt.f64 (*.f64 y 2)))
(/.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 (sqrt.f64 (*.f64 y 2)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (*.f64 y 2))) (sqrt.f64 x))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 x)) (sqrt.f64 1/2)) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 x)) (/.f64 (sqrt.f64 y) (sqrt.f64 1/2)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 x)) (sqrt.f64 y)) (sqrt.f64 1/2))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 x)) (sqrt.f64 -1/2)) (sqrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 -1/2)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 x)) (sqrt.f64 (neg.f64 y))) (sqrt.f64 -1/2))
(/.f64 (*.f64 (/.f64 x (sqrt.f64 y)) 1/2) (sqrt.f64 y))
(*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(/.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) 1/2) (cbrt.f64 y))
(*.f64 (/.f64 1/2 (cbrt.f64 y)) (/.f64 x (cbrt.f64 (*.f64 y y))))
(*.f64 (/.f64 1/2 (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y)))
(/.f64 (*.f64 -1 x) (*.f64 y -2))
(*.f64 x (/.f64 1/2 y))
(/.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) x) (sqrt.f64 y))
(*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(/.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 1/2 (cbrt.f64 (*.f64 y y))) x) (cbrt.f64 y))
(*.f64 (/.f64 1/2 (cbrt.f64 y)) (/.f64 x (cbrt.f64 (*.f64 y y))))
(*.f64 (/.f64 1/2 (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 y))
(/.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (*.f64 x -1/2) 1) (neg.f64 y))
(*.f64 x (/.f64 1/2 y))
(/.f64 (*.f64 (/.f64 x (/.f64 (sqrt.f64 y) 1/2)) 1) (sqrt.f64 y))
(*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(/.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 x (/.f64 (cbrt.f64 (*.f64 y y)) 1/2)) 1) (cbrt.f64 y))
(*.f64 (/.f64 1/2 (cbrt.f64 y)) (/.f64 x (cbrt.f64 (*.f64 y y))))
(*.f64 (/.f64 1/2 (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y)))
(/.f64 (*.f64 1 (*.f64 x (sqrt.f64 (/.f64 1/2 y)))) (sqrt.f64 (*.f64 y 2)))
(/.f64 (*.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 x (sqrt.f64 (/.f64 1/2 y))) (/.f64 (sqrt.f64 y) (sqrt.f64 1/2)))
(*.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 y)) (*.f64 x (sqrt.f64 (/.f64 1/2 y))))
(/.f64 (*.f64 (sqrt.f64 -1/2) (*.f64 x (sqrt.f64 (/.f64 1/2 y)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (sqrt.f64 -1/2) (/.f64 (sqrt.f64 (neg.f64 y)) (*.f64 x (sqrt.f64 (/.f64 1/2 y)))))
(*.f64 (/.f64 (sqrt.f64 -1/2) (sqrt.f64 (neg.f64 y))) (*.f64 x (sqrt.f64 (/.f64 1/2 y))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2)) (cbrt.f64 y))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2) (/.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2))
(/.f64 (*.f64 (cbrt.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y)))))) (cbrt.f64 y))
(/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 y) (*.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y)))))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y)))) 4))
(/.f64 (*.f64 x (/.f64 1/2 (cbrt.f64 y))) (cbrt.f64 (*.f64 y y)))
(*.f64 (/.f64 1/2 (cbrt.f64 y)) (/.f64 x (cbrt.f64 (*.f64 y y))))
(*.f64 (/.f64 1/2 (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y)))
(/.f64 (/.f64 (*.f64 x 1/2) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(*.f64 (/.f64 1/2 (cbrt.f64 y)) (/.f64 x (cbrt.f64 (*.f64 y y))))
(*.f64 (/.f64 1/2 (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y)))
(/.f64 (/.f64 x (*.f64 (cbrt.f64 (*.f64 y 2)) (cbrt.f64 (*.f64 y 2)))) (cbrt.f64 (*.f64 y 2)))
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 (*.f64 x -1/2) 1) (neg.f64 y))
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))
(*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(/.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 x -1/2) (cbrt.f64 (*.f64 y y))) (neg.f64 (cbrt.f64 y)))
(*.f64 (/.f64 1/2 (cbrt.f64 y)) (/.f64 x (cbrt.f64 (*.f64 y y))))
(*.f64 (/.f64 1/2 (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y)))
(/.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 (*.f64 x -1/2) (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y)))
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 (*.f64 x -1/2) -1) y)
(*.f64 x (/.f64 1/2 y))
(/.f64 (/.f64 (*.f64 x -1/2) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y))
(*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(/.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 x -1/2) (neg.f64 (cbrt.f64 (*.f64 y y)))) (cbrt.f64 y))
(*.f64 (/.f64 1/2 (cbrt.f64 y)) (/.f64 x (cbrt.f64 (*.f64 y y))))
(*.f64 (/.f64 1/2 (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 y) 1/2)) 1) (sqrt.f64 y))
(*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(/.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 y) 1/2)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y)))
(*.f64 (/.f64 x (cbrt.f64 (sqrt.f64 y))) (/.f64 (/.f64 1/2 (sqrt.f64 y)) (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 y) 1/2)) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(/.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 y) 1/2)) (sqrt.f64 (cbrt.f64 (*.f64 y y)))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 y))) (*.f64 (sqrt.f64 (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 (*.f64 y y)))))
(*.f64 (/.f64 x (sqrt.f64 (cbrt.f64 y))) (/.f64 (/.f64 1/2 (sqrt.f64 y)) (sqrt.f64 (cbrt.f64 (*.f64 y y)))))
(/.f64 (/.f64 (/.f64 x (/.f64 (cbrt.f64 (*.f64 y y)) 1/2)) 1) (cbrt.f64 y))
(*.f64 (/.f64 1/2 (cbrt.f64 y)) (/.f64 x (cbrt.f64 (*.f64 y y))))
(*.f64 (/.f64 1/2 (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 x (/.f64 (cbrt.f64 (*.f64 y y)) 1/2)) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(*.f64 (/.f64 1/2 (cbrt.f64 y)) (/.f64 x (cbrt.f64 (*.f64 y y))))
(*.f64 (/.f64 1/2 (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 x (/.f64 (cbrt.f64 (*.f64 y y)) 1/2)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (*.f64 x (/.f64 1/2 (cbrt.f64 (*.f64 y y)))) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))
(/.f64 (/.f64 (/.f64 x (/.f64 (cbrt.f64 (*.f64 y y)) 1/2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
(*.f64 (/.f64 1/2 (cbrt.f64 y)) (/.f64 x (cbrt.f64 (*.f64 y y))))
(*.f64 (/.f64 1/2 (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 x (/.f64 (cbrt.f64 (*.f64 y y)) 1/2)) (cbrt.f64 (cbrt.f64 (*.f64 y y)))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (*.f64 x (/.f64 1/2 (cbrt.f64 (*.f64 y y)))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 (*.f64 y y)))))
(*.f64 (/.f64 x (cbrt.f64 (cbrt.f64 y))) (/.f64 (/.f64 1/2 (cbrt.f64 (*.f64 y y))) (cbrt.f64 (cbrt.f64 (*.f64 y y)))))
(/.f64 x (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 (*.f64 y y)))) (/.f64 (cbrt.f64 (*.f64 y y)) 1/2)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y)))) (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y)))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))) (*.f64 x (/.f64 1/2 y))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 x (/.f64 1/2 y))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))))
(neg.f64 (/.f64 (*.f64 x 1/2) (neg.f64 y)))
(*.f64 x (/.f64 1/2 y))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 2))
(pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 2) 1/2)
(fabs.f64 (*.f64 x (/.f64 1/2 y)))
(log.f64 (pow.f64 (exp.f64 (/.f64 1/2 y)) x))
(*.f64 x (/.f64 1/2 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 x (/.f64 1/2 y))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3))
(*.f64 x (/.f64 1/2 y))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 y) 3) (pow.f64 x 3)))
(*.f64 x (/.f64 1/2 y))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))
(*.f64 x (/.f64 1/2 y))
(exp.f64 (log.f64 (*.f64 x (/.f64 1/2 y))))
(*.f64 x (/.f64 1/2 y))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/2 y))))
(*.f64 x (/.f64 1/2 y))

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
6.0b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
11.9b
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2))
25.7b
(sin.f64 (*.f64 x (/.f64 1/2 y)))
26.3b
(tan.f64 (*.f64 x (/.f64 1/2 y)))
Compiler

Compiled 70 to 51 computations (27.1% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite68.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1604×associate-*l/
1290×associate-/r*
1080×associate-/l*
286×add-sqr-sqrt
274×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01639
133239
2349339
Stop Event
node limit
Counts
1 → 37
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
Outputs
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simplify77.0ms (0.4%)

Algorithm
egg-herbie
Rules
1472×associate-/r*
1086×associate-*r/
1084×associate-+l+
1008×*-commutative
894×associate--r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02624213
17744071
233124071
Stop Event
node limit
Counts
61 → 86
Calls
Call 1
Inputs
1
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1
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1
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(*.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) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (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)))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1))
(*.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))))))
(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))
(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
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(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 (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 (*.f64 61/46080 (pow.f64 x 6)) (pow.f64 y 6)))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x 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))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
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(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
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(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 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 x 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))))
(/.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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1
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(/.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)))) (/.f64 (cbrt.f64 (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))))
(*.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 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 (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 (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 (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) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (/.f64 (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 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2) (/.f64 (pow.f64 (cbrt.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)))))))
(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 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 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))))
(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))))

localize62.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(cbrt.f64 (*.f64 x 1/2))
1.0b
(pow.f64 (cbrt.f64 1/2) 2)
26.0b
(cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))))
30.4b
(pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)
Compiler

Compiled 117 to 98 computations (16.2% saved)

series2.0ms (0%)

Counts
3 → 24
Calls

9 calls:

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

rewrite111.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
868×associate-/r/
616×associate-/l/
398×add-sqr-sqrt
378×*-un-lft-identity
372×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02075
142059
2518059
Stop Event
node limit
Counts
3 → 57
Calls
Call 1
Inputs
(pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)
(cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2)))))
(pow.f64 (cbrt.f64 1/2) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (cbrt.f64 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -4))) (cbrt.f64 (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 x) 1/3) (pow.f64 (/.f64 1 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -4)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (cbrt.f64 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 1 (cbrt.f64 (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 x -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))) (sqrt.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))) 2) (cbrt.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/2 1/6) (*.f64 (pow.f64 1/2 1/6) (cbrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 1/4)) (cbrt.f64 (cbrt.f64 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 1/4)) (*.f64 (cbrt.f64 (cbrt.f64 1/2)) (cbrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 1/16)) (cbrt.f64 (cbrt.f64 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 1/2) (pow.f64 1/2 1/6)) (pow.f64 1/2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 (cbrt.f64 1/4))) (cbrt.f64 (cbrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 1/4)))))))

simplify87.0ms (0.5%)

Algorithm
egg-herbie
Rules
1456×associate-*r/
1050×associate-*r*
1030×associate-*l/
918×distribute-lft-in
860×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01642147
13071903
29111891
339841891
Stop Event
node limit
Counts
81 → 82
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 (/.f64 (*.f64 (cbrt.f64 -1/2) (*.f64 (pow.f64 (cbrt.f64 1/2) 2) x)) y)))
(cos.f64 (*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1/2) (*.f64 (pow.f64 (cbrt.f64 1/2) 2) x)) y)))
(cos.f64 (*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1/2) (*.f64 (pow.f64 (cbrt.f64 1/2) 2) x)) y)))
(cos.f64 (*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1/2) (*.f64 (pow.f64 (cbrt.f64 1/2) 2) 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 (log1p.f64 (cbrt.f64 (pow.f64 x -2)))) 1)
(*.f64 1 (cbrt.f64 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) 1)
(*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (cbrt.f64 (pow.f64 x -4))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -4))) (cbrt.f64 (cbrt.f64 (pow.f64 x -2))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (pow.f64 (/.f64 1 x) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -4)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 x -2))))
(/.f64 1 (pow.f64 (cbrt.f64 x) 2))
(/.f64 (cbrt.f64 (pow.f64 x -2)) 1)
(/.f64 -1 (cbrt.f64 (*.f64 x (neg.f64 x))))
(/.f64 -1 (*.f64 1 (cbrt.f64 (*.f64 x (neg.f64 x)))))
(sqrt.f64 (cbrt.f64 (pow.f64 x -4)))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 x -2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 x -2))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 x -2))))
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 x -2))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4))))))) 1)
(*.f64 1 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4))))))
(*.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4))))) 1)
(*.f64 (sqrt.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))) (sqrt.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))))
(*.f64 (cbrt.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))) 2) (cbrt.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))))
(pow.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4))))) 1)
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))) 3)
(pow.f64 (pow.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4))))) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4))))) 2))
(log.f64 (exp.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4))))))))
(cbrt.f64 (pow.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4))))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))))
(exp.f64 (log.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 1/4))) 1)
(*.f64 1 (cbrt.f64 1/4))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/4) 1)
(*.f64 (pow.f64 1/2 1/6) (*.f64 (pow.f64 1/2 1/6) (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (cbrt.f64 1/4)) (cbrt.f64 (cbrt.f64 1/16)))
(*.f64 (cbrt.f64 (cbrt.f64 1/4)) (*.f64 (cbrt.f64 (cbrt.f64 1/2)) (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (cbrt.f64 1/16)) (cbrt.f64 (cbrt.f64 1/4)))
(*.f64 (*.f64 (cbrt.f64 1/2) (pow.f64 1/2 1/6)) (pow.f64 1/2 1/6))
(*.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 (cbrt.f64 1/4))) (cbrt.f64 (cbrt.f64 1/2)))
(sqrt.f64 (cbrt.f64 1/16))
(log.f64 (exp.f64 (cbrt.f64 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 1/4))))
(cbrt.f64 1/4)
(expm1.f64 (log1p.f64 (cbrt.f64 1/4)))
(exp.f64 (log.f64 (cbrt.f64 1/4)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 1/4)) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 1/4)))
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)
(fma.f64 (/.f64 -1/8 y) (/.f64 (*.f64 x 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)))
(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 (/.f64 (*.f64 (cbrt.f64 -1/2) (*.f64 (pow.f64 (cbrt.f64 1/2) 2) x)) y)))
(cos.f64 (neg.f64 (/.f64 (cbrt.f64 -1/2) (/.f64 y (*.f64 x (pow.f64 (cbrt.f64 1/2) 2))))))
(cos.f64 (*.f64 (/.f64 (cbrt.f64 -1/2) y) (*.f64 x (pow.f64 (cbrt.f64 1/2) 2))))
(cos.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 1/2) 2)) (/.f64 (cbrt.f64 -1/2) y)))
(cos.f64 (*.f64 (/.f64 x y) (*.f64 (cbrt.f64 -1/2) (pow.f64 (cbrt.f64 1/2) 2))))
(cos.f64 (*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1/2) (*.f64 (pow.f64 (cbrt.f64 1/2) 2) x)) y)))
(cos.f64 (neg.f64 (/.f64 (cbrt.f64 -1/2) (/.f64 y (*.f64 x (pow.f64 (cbrt.f64 1/2) 2))))))
(cos.f64 (*.f64 (/.f64 (cbrt.f64 -1/2) y) (*.f64 x (pow.f64 (cbrt.f64 1/2) 2))))
(cos.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 1/2) 2)) (/.f64 (cbrt.f64 -1/2) y)))
(cos.f64 (*.f64 (/.f64 x y) (*.f64 (cbrt.f64 -1/2) (pow.f64 (cbrt.f64 1/2) 2))))
(cos.f64 (*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1/2) (*.f64 (pow.f64 (cbrt.f64 1/2) 2) x)) y)))
(cos.f64 (neg.f64 (/.f64 (cbrt.f64 -1/2) (/.f64 y (*.f64 x (pow.f64 (cbrt.f64 1/2) 2))))))
(cos.f64 (*.f64 (/.f64 (cbrt.f64 -1/2) y) (*.f64 x (pow.f64 (cbrt.f64 1/2) 2))))
(cos.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 1/2) 2)) (/.f64 (cbrt.f64 -1/2) y)))
(cos.f64 (*.f64 (/.f64 x y) (*.f64 (cbrt.f64 -1/2) (pow.f64 (cbrt.f64 1/2) 2))))
(cos.f64 (*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1/2) (*.f64 (pow.f64 (cbrt.f64 1/2) 2) x)) y)))
(cos.f64 (neg.f64 (/.f64 (cbrt.f64 -1/2) (/.f64 y (*.f64 x (pow.f64 (cbrt.f64 1/2) 2))))))
(cos.f64 (*.f64 (/.f64 (cbrt.f64 -1/2) y) (*.f64 x (pow.f64 (cbrt.f64 1/2) 2))))
(cos.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 1/2) 2)) (/.f64 (cbrt.f64 -1/2) y)))
(cos.f64 (*.f64 (/.f64 x y) (*.f64 (cbrt.f64 -1/2) (pow.f64 (cbrt.f64 1/2) 2))))
(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)
(fma.f64 (/.f64 -1/8 y) (/.f64 (*.f64 x 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)
(fma.f64 (/.f64 -1/8 y) (/.f64 (*.f64 x 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)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 x -2)))) 1)
(cbrt.f64 (pow.f64 x -2))
(*.f64 1 (cbrt.f64 (pow.f64 x -2)))
(cbrt.f64 (pow.f64 x -2))
(*.f64 (cbrt.f64 (pow.f64 x -2)) 1)
(cbrt.f64 (pow.f64 x -2))
(*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (cbrt.f64 (pow.f64 x -4))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -4))) (cbrt.f64 (cbrt.f64 (pow.f64 x -2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (cbrt.f64 (pow.f64 x -4))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 x -2)))
(cbrt.f64 (pow.f64 x -2))
(*.f64 (pow.f64 (/.f64 1 x) 1/3) (pow.f64 (/.f64 1 x) 1/3))
(*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -4)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 x -2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (cbrt.f64 (pow.f64 x -4))))
(/.f64 1 (pow.f64 (cbrt.f64 x) 2))
(/.f64 (cbrt.f64 (pow.f64 x -2)) 1)
(cbrt.f64 (pow.f64 x -2))
(/.f64 -1 (cbrt.f64 (*.f64 x (neg.f64 x))))
(/.f64 -1 (*.f64 1 (cbrt.f64 (*.f64 x (neg.f64 x)))))
(/.f64 -1 (cbrt.f64 (*.f64 x (neg.f64 x))))
(sqrt.f64 (cbrt.f64 (pow.f64 x -4)))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 x -2))))
(cbrt.f64 (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 x -2))
(cbrt.f64 (pow.f64 x -2))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 x -2))))
(cbrt.f64 (pow.f64 x -2))
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))))
(cbrt.f64 (pow.f64 x -2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 x -2))) 1))
(cbrt.f64 (pow.f64 x -2))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 x -2))))
(cbrt.f64 (pow.f64 x -2))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4))))))) 1)
(cos.f64 (/.f64 (/.f64 1 (/.f64 1 x)) (/.f64 y (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))))
(cos.f64 (*.f64 (/.f64 x y) (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/4))))
(cos.f64 (*.f64 (*.f64 (/.f64 x y) (cbrt.f64 1/4)) (cbrt.f64 1/2)))
(*.f64 1 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4))))))
(cos.f64 (/.f64 (/.f64 1 (/.f64 1 x)) (/.f64 y (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))))
(cos.f64 (*.f64 (/.f64 x y) (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/4))))
(cos.f64 (*.f64 (*.f64 (/.f64 x y) (cbrt.f64 1/4)) (cbrt.f64 1/2)))
(*.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4))))) 1)
(cos.f64 (/.f64 (/.f64 1 (/.f64 1 x)) (/.f64 y (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))))
(cos.f64 (*.f64 (/.f64 x y) (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/4))))
(cos.f64 (*.f64 (*.f64 (/.f64 x y) (cbrt.f64 1/4)) (cbrt.f64 1/2)))
(*.f64 (sqrt.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))) (sqrt.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))))
(cos.f64 (/.f64 (/.f64 1 (/.f64 1 x)) (/.f64 y (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))))
(cos.f64 (*.f64 (/.f64 x y) (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/4))))
(cos.f64 (*.f64 (*.f64 (/.f64 x y) (cbrt.f64 1/4)) (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))) 2))
(cos.f64 (/.f64 (/.f64 1 (/.f64 1 x)) (/.f64 y (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))))
(cos.f64 (*.f64 (/.f64 x y) (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/4))))
(cos.f64 (*.f64 (*.f64 (/.f64 x y) (cbrt.f64 1/4)) (cbrt.f64 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))) 2) (cbrt.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))))
(cos.f64 (/.f64 (/.f64 1 (/.f64 1 x)) (/.f64 y (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))))
(cos.f64 (*.f64 (/.f64 x y) (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/4))))
(cos.f64 (*.f64 (*.f64 (/.f64 x y) (cbrt.f64 1/4)) (cbrt.f64 1/2)))
(pow.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4))))) 1)
(cos.f64 (/.f64 (/.f64 1 (/.f64 1 x)) (/.f64 y (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))))
(cos.f64 (*.f64 (/.f64 x y) (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/4))))
(cos.f64 (*.f64 (*.f64 (/.f64 x y) (cbrt.f64 1/4)) (cbrt.f64 1/2)))
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))) 2)
(cos.f64 (/.f64 (/.f64 1 (/.f64 1 x)) (/.f64 y (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))))
(cos.f64 (*.f64 (/.f64 x y) (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/4))))
(cos.f64 (*.f64 (*.f64 (/.f64 x y) (cbrt.f64 1/4)) (cbrt.f64 1/2)))
(pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))) 3)
(cos.f64 (/.f64 (/.f64 1 (/.f64 1 x)) (/.f64 y (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))))
(cos.f64 (*.f64 (/.f64 x y) (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/4))))
(cos.f64 (*.f64 (*.f64 (/.f64 x y) (cbrt.f64 1/4)) (cbrt.f64 1/2)))
(pow.f64 (pow.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4))))) 3) 1/3)
(cos.f64 (/.f64 (/.f64 1 (/.f64 1 x)) (/.f64 y (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))))
(cos.f64 (*.f64 (/.f64 x y) (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/4))))
(cos.f64 (*.f64 (*.f64 (/.f64 x y) (cbrt.f64 1/4)) (cbrt.f64 1/2)))
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4))))) 2))
(cos.f64 (/.f64 (/.f64 1 (/.f64 1 x)) (/.f64 y (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))))
(cos.f64 (*.f64 (/.f64 x y) (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/4))))
(cos.f64 (*.f64 (*.f64 (/.f64 x y) (cbrt.f64 1/4)) (cbrt.f64 1/2)))
(log.f64 (exp.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))))
(cos.f64 (/.f64 (/.f64 1 (/.f64 1 x)) (/.f64 y (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))))
(cos.f64 (*.f64 (/.f64 x y) (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/4))))
(cos.f64 (*.f64 (*.f64 (/.f64 x y) (cbrt.f64 1/4)) (cbrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4))))))))
(cos.f64 (/.f64 (/.f64 1 (/.f64 1 x)) (/.f64 y (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))))
(cos.f64 (*.f64 (/.f64 x y) (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/4))))
(cos.f64 (*.f64 (*.f64 (/.f64 x y) (cbrt.f64 1/4)) (cbrt.f64 1/2)))
(cbrt.f64 (pow.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4))))) 3))
(cos.f64 (/.f64 (/.f64 1 (/.f64 1 x)) (/.f64 y (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))))
(cos.f64 (*.f64 (/.f64 x y) (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/4))))
(cos.f64 (*.f64 (*.f64 (/.f64 x y) (cbrt.f64 1/4)) (cbrt.f64 1/2)))
(expm1.f64 (log1p.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))))
(cos.f64 (/.f64 (/.f64 1 (/.f64 1 x)) (/.f64 y (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))))
(cos.f64 (*.f64 (/.f64 x y) (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/4))))
(cos.f64 (*.f64 (*.f64 (/.f64 x y) (cbrt.f64 1/4)) (cbrt.f64 1/2)))
(exp.f64 (log.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))))
(cos.f64 (/.f64 (/.f64 1 (/.f64 1 x)) (/.f64 y (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))))
(cos.f64 (*.f64 (/.f64 x y) (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/4))))
(cos.f64 (*.f64 (*.f64 (/.f64 x y) (cbrt.f64 1/4)) (cbrt.f64 1/2)))
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))) 1))
(cos.f64 (/.f64 (/.f64 1 (/.f64 1 x)) (/.f64 y (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))))
(cos.f64 (*.f64 (/.f64 x y) (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/4))))
(cos.f64 (*.f64 (*.f64 (/.f64 x y) (cbrt.f64 1/4)) (cbrt.f64 1/2)))
(log1p.f64 (expm1.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))))
(cos.f64 (/.f64 (/.f64 1 (/.f64 1 x)) (/.f64 y (*.f64 (cbrt.f64 1/4) (cbrt.f64 1/2)))))
(cos.f64 (*.f64 (/.f64 x y) (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/4))))
(cos.f64 (*.f64 (*.f64 (/.f64 x y) (cbrt.f64 1/4)) (cbrt.f64 1/2)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 1/4))) 1)
(cbrt.f64 1/4)
(*.f64 1 (cbrt.f64 1/4))
(cbrt.f64 1/4)
(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
(pow.f64 (cbrt.f64 1/2) 2)
(*.f64 (cbrt.f64 1/4) 1)
(cbrt.f64 1/4)
(*.f64 (pow.f64 1/2 1/6) (*.f64 (pow.f64 1/2 1/6) (cbrt.f64 1/2)))
(pow.f64 (cbrt.f64 1/2) 2)
(*.f64 (cbrt.f64 (cbrt.f64 1/4)) (cbrt.f64 (cbrt.f64 1/16)))
(*.f64 (cbrt.f64 (cbrt.f64 1/4)) (*.f64 (cbrt.f64 (cbrt.f64 1/2)) (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (cbrt.f64 1/4)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 (cbrt.f64 1/2))))
(*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (cbrt.f64 1/4)) (cbrt.f64 (cbrt.f64 1/2))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 (cbrt.f64 1/4))))
(*.f64 (cbrt.f64 (cbrt.f64 1/16)) (cbrt.f64 (cbrt.f64 1/4)))
(*.f64 (cbrt.f64 (cbrt.f64 1/4)) (cbrt.f64 (cbrt.f64 1/16)))
(*.f64 (*.f64 (cbrt.f64 1/2) (pow.f64 1/2 1/6)) (pow.f64 1/2 1/6))
(pow.f64 (cbrt.f64 1/2) 2)
(*.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 (cbrt.f64 1/4))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (cbrt.f64 1/4)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 (cbrt.f64 1/2))))
(*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (cbrt.f64 1/4)) (cbrt.f64 (cbrt.f64 1/2))))
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 (cbrt.f64 1/4))))
(sqrt.f64 (cbrt.f64 1/16))
(log.f64 (exp.f64 (cbrt.f64 1/4)))
(cbrt.f64 1/4)
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 1/4))))
(cbrt.f64 1/4)
(cbrt.f64 1/4)
(expm1.f64 (log1p.f64 (cbrt.f64 1/4)))
(cbrt.f64 1/4)
(exp.f64 (log.f64 (cbrt.f64 1/4)))
(cbrt.f64 1/4)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 1/4)) 1))
(cbrt.f64 1/4)
(log1p.f64 (expm1.f64 (cbrt.f64 1/4)))
(cbrt.f64 1/4)

eval955.0ms (5.5%)

Compiler

Compiled 35227 to 26917 computations (23.6% saved)

prune720.0ms (4.1%)

Pruning

157 alts after pruning (149 fresh and 8 done)

PrunedKeptTotal
New1273521325
Fresh1697113
Picked011
Done178
Total12901571447
Error
21.1b
Counts
1447 → 157
Alt Table
Click to see full alt table
StatusErrorProgram
28.3b
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2)
26.2b
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3)
28.3b
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -2)
26.3b
(pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)
32.9b
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
33.1b
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (*.f64 y 2))))
52.4b
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
33.0b
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
32.8b
(/.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2))
32.5b
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
33.2b
(/.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
36.0b
(/.f64 (/.f64 1/2 (/.f64 y x)) (sin.f64 (/.f64 x (*.f64 y 2))))
33.0b
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2) (/.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (cos.f64 (*.f64 1/2 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
35.3b
(/.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
48.7b
(/.f64 (*.f64 1/2 (/.f64 x y)) (fabs.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))
32.9b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
35.1b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 1/2 (/.f64 x y)))
32.4b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
60.0b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
56.6b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (cbrt.f64 (pow.f64 (fabs.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 3)))
32.4b
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (/.f64 x (*.f64 y 2))))
62.2b
(/.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
53.4b
(/.f64 (sqrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
53.5b
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) 2)) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
53.5b
(/.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))
53.4b
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 2)) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
46.3b
(/.f64 (fabs.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
46.4b
(/.f64 (fabs.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
46.4b
(/.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
28.8b
(/.f64 1 (fma.f64 -1/8 (/.f64 x (*.f64 y (/.f64 y x))) 1))
28.3b
(/.f64 1 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 2))
28.0b
(/.f64 1 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))) 2))
26.2b
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 3))
25.8b
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))) 3))
26.2b
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3))
26.2b
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3))
26.2b
(/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x 2) y)) -2))))))
26.2b
(/.f64 1 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))
26.3b
(/.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))))))))
26.2b
(/.f64 1 (/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)) 1) (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2)))
28.2b
(/.f64 1 (/.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 y x))) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -1/2)))))
26.1b
(/.f64 1 (/.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))
26.2b
(/.f64 1 (-.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2) 2))
26.2b
(/.f64 1 (-.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) 1))
25.8b
(/.f64 1 (*.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4))))) 1))
26.1b
(/.f64 1 (*.f64 (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))
27.0b
(/.f64 1 (sqrt.f64 (pow.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4))))) 2)))
26.2b
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
26.2b
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))))))
26.2b
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
27.1b
(/.f64 1 (fabs.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
27.1b
(/.f64 1 (fabs.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
26.2b
(/.f64 1 (expm1.f64 (fma.f64 -1/16 (*.f64 (/.f64 x y) (/.f64 x y)) (log.f64 2))))
29.6b
(/.f64 1 (expm1.f64 (+.f64 (log.f64 2) (*.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y))))))
26.2b
(/.f64 1 (expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
27.3b
(/.f64 1 (expm1.f64 (fabs.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
42.3b
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3/2) 1/3) 2)))
32.5b
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3) 1/3)))
41.8b
(/.f64 1 (cos.f64 (pow.f64 (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 x 1/2)))) 2)))
42.2b
(/.f64 1 (cos.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3/2) 1/6) (pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3/2) 1/6)) 2)))
55.2b
(/.f64 1 (cos.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 x 1/2)) (/.f64 1 (sqrt.f64 y))) 2)))
41.8b
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))) 2)))
41.7b
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2)))
41.7b
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))) 2)))
26.1b
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)))
46.8b
(/.f64 1 (cos.f64 (/.f64 (pow.f64 (*.f64 x 1/2) 1/3) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
48.7b
(/.f64 1 (cos.f64 (/.f64 (pow.f64 (*.f64 x 1/2) 1/3) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2))))))
26.0b
(/.f64 1 (cos.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 3) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
29.8b
(/.f64 1 (cos.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 3) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2))))))
26.5b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))))
26.1b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 x 2) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))))
26.2b
(/.f64 1 (cos.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)) (cbrt.f64 y))))
29.0b
(/.f64 1 (cos.f64 (/.f64 (/.f64 x (/.f64 (cbrt.f64 (*.f64 y y)) 1/2)) (cbrt.f64 y))))
26.3b
(/.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 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))))
26.2b
(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 y))))
55.3b
(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) (sqrt.f64 x))) (/.f64 (sqrt.f64 y) (sqrt.f64 x)))))
26.1b
(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x))))
28.2b
(/.f64 1 (cos.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y)))) (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y)))) 1))))
47.0b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 x 1/2) 1/6) 2) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
46.9b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 x 1/2) 1/3) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
26.4b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
26.1b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 1/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
47.0b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (*.f64 x 1/2)) 1/3)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
25.9b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/6)) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
25.8b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 3)) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
32.7b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))) 1)) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
43.7b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (*.f64 (*.f64 (pow.f64 (neg.f64 x) 1/18) (pow.f64 (neg.f64 x) 1/18)) (cbrt.f64 (cbrt.f64 -1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
27.1b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 4)) 1/6))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
26.1b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
46.7b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (cbrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 x 1/2)) 1/3)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
26.6b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 y (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))) (cbrt.f64 (*.f64 x 1/2))))))
46.7b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (pow.f64 (pow.f64 (*.f64 x 1/2) 1/6) 2)))))
25.9b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
27.0b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2))) 1) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
46.7b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x 1/2) 1/6)) (cbrt.f64 (pow.f64 (*.f64 x 1/2) 1/6))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x 1/2) 1/6)) (cbrt.f64 (pow.f64 (*.f64 x 1/2) 1/6)))) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
26.0b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
47.1b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/2))) 2/3)) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
29.7b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2))))))
46.8b
(/.f64 1 (cos.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 x 1/2)) 1/3)) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
48.8b
(/.f64 1 (cos.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 x 1/2)) 1/3)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2))))))
46.8b
(/.f64 1 (cos.f64 (/.f64 (exp.f64 (log.f64 (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
29.6b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (*.f64 y 2) (cbrt.f64 x)))))
26.2b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))) 3))))
37.6b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 (pow.f64 (pow.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) 3) 1/3) (cbrt.f64 (*.f64 x 1/2))))))
26.1b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))) 3) (cbrt.f64 (*.f64 x 1/2))))))
26.3b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 (/.f64 y (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))) (cbrt.f64 (*.f64 x 1/2))))))
46.6b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (pow.f64 (pow.f64 (*.f64 x 1/2) 1/6) 2)))))
46.6b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (pow.f64 (*.f64 x 1/2) 1/3)))))
25.9b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
46.3b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 y (cbrt.f64 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
46.6b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (*.f64 x 1/2) 1/6)) (/.f64 (cbrt.f64 y) (pow.f64 (*.f64 x 1/2) 1/6))) (cbrt.f64 (*.f64 x 1/2))))))
46.5b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (/.f64 1 (pow.f64 (*.f64 x 1/2) 1/6)) (/.f64 y (pow.f64 (*.f64 x 1/2) 1/6))) (cbrt.f64 (*.f64 x 1/2))))))
26.2b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)))))
29.4b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2))))))
29.8b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (cbrt.f64 1/4))))))
26.3b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))) 2) (cbrt.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)))))))
46.7b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))) 2) (pow.f64 (*.f64 x 1/2) 1/6)) (/.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))) (pow.f64 (*.f64 x 1/2) 1/6))))))
46.4b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (*.f64 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (pow.f64 (/.f64 1 x) 1/3)) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2))))))
29.5b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2))))))
27.0b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (sqrt.f64 (pow.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)) 2)))))
55.5b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (exp.f64 (-.f64 (log.f64 y) (*.f64 (log.f64 (*.f64 x 1/2)) 2/3))))))
25.8b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 x) (/.f64 (*.f64 y 2) (pow.f64 (cbrt.f64 x) 2)))))
26.2b
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
26.1b
(/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (*.f64 x (cbrt.f64 (/.f64 1/2 y))))))
26.2b
(/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (/.f64 1/2 y))))))
26.5b
(/.f64 1 (cos.f64 (*.f64 (/.f64 (cbrt.f64 -1/2) y) (*.f64 x (pow.f64 (cbrt.f64 1/2) 2)))))
45.6b
(/.f64 1 (cos.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1/2 (sqrt.f64 y)))))
26.7b
(/.f64 1 (cos.f64 (*.f64 (/.f64 x y) (*.f64 (cbrt.f64 -1/2) (pow.f64 (cbrt.f64 1/2) 2)))))
46.7b
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (/.f64 y (sqrt.f64 x))) (sqrt.f64 x))))
26.3b
(/.f64 1 (cos.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2)) (cbrt.f64 (/.f64 1/2 y)))))
27.0b
(/.f64 1 (cos.f64 (*.f64 (cbrt.f64 x) (/.f64 1/2 (*.f64 (cbrt.f64 y) (cbrt.f64 (pow.f64 (/.f64 y x) 2)))))))
45.7b
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 (*.f64 (sqrt.f64 y) (sqrt.f64 y))))))
26.2b
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
26.2b
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
27.8b
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))))
26.2b
(/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)))
33.3b
(*.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 3) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
33.4b
(*.f64 (/.f64 (pow.f64 (/.f64 (*.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 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cbrt.f64 (sin.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)))))
32.6b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)))
33.1b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
59.9b
(*.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)))) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))
33.1b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
33.1b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y)))))
46.7b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (cbrt.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
60.2b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (log1p.f64 (expm1.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
46.9b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (fabs.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))))
33.0b
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
35.4b
(*.f64 (/.f64 1/2 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) x)) (/.f64 1 y))
35.3b
(*.f64 1/2 (/.f64 x (*.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) y)))
27.1b
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -2))
27.1b
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))
32.6b
(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 3))
26.2b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
26.2b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
32.2b
(log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)))
26.8b
1
Compiler

Compiled 3536 to 2862 computations (19.1% saved)

regimes857.0ms (4.9%)

Counts
239 → 2
Calls
Call 1
Inputs
1
(/.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 1 (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x))))
(*.f64 1/2 (/.f64 x (*.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) y)))
(/.f64 1 (-.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) 1))
(/.f64 1 (-.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2) 2))
(/.f64 1 (fma.f64 -1/8 (/.f64 x (*.f64 y (/.f64 y x))) 1))
(/.f64 1 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1))
(/.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/8 1))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 1/2 (/.f64 x y)))
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (/.f64 1/2 (/.f64 y x)) (sin.f64 (/.f64 x (*.f64 y 2))))
(*.f64 (/.f64 1/2 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) x)) (/.f64 1 y))
(/.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
(/.f64 1 (fabs.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 1 (fabs.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 1 (fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) 1))
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
(/.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 1/2 y))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (*.f64 1/2 (/.f64 x y)) (fabs.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 1 (expm1.f64 (+.f64 (log.f64 2) (*.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
(/.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (*.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)))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -2))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 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 x (/.f64 1/2 y))))))
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 1 (expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2)
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3))))
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)))
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2)))
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3))
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3))
(pow.f64 (cbrt.f64 (/.f64 1 (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 x (/.f64 1/2 y))))) 3)
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 (*.f64 (sqrt.f64 y) (sqrt.f64 y))))))
(/.f64 1 (cos.f64 (*.f64 (sqrt.f64 x) (/.f64 1/2 (/.f64 y (sqrt.f64 x))))))
(/.f64 1 (cos.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 2 y)))))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (/.f64 y (sqrt.f64 x))) (sqrt.f64 x))))
(/.f64 1 (cos.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1/2 (sqrt.f64 y)))))
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3) 1/3)))
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))))))
(/.f64 1 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1))
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 3))
(/.f64 1 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 2))
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (*.f64 y 2) (cbrt.f64 x)))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 x (sqrt.f64 (*.f64 y 2))) (sqrt.f64 (*.f64 y 2)))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 x (/.f64 (cbrt.f64 (*.f64 y y)) 1/2)) (cbrt.f64 y))))
(/.f64 1 (expm1.f64 (fma.f64 -1/16 (*.f64 (/.f64 x y) (/.f64 x y)) (log.f64 2))))
(/.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (fabs.f64 (tan.f64 (*.f64 x (/.f64 1/2 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)))))
(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
(/.f64 (fabs.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
(/.f64 1 (*.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4))))) 1))
(/.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 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
(/.f64 1 (/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)) 1) (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2)))
(/.f64 1 (expm1.f64 (fabs.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 1 (cos.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 y) 3) (pow.f64 x 3)))))
(/.f64 1 (cos.f64 (*.f64 (/.f64 x y) (*.f64 (cbrt.f64 -1/2) (pow.f64 (cbrt.f64 1/2) 2)))))
(/.f64 1 (cos.f64 (*.f64 (/.f64 (cbrt.f64 -1/2) y) (*.f64 x (pow.f64 (cbrt.f64 1/2) 2)))))
(/.f64 1 (cos.f64 (*.f64 (/.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) y) (cbrt.f64 x))))
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 x) (/.f64 (*.f64 y 2) (pow.f64 (cbrt.f64 x) 2)))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) 1/2) (cbrt.f64 y))))
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(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3/2) 1/3) 2)))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (exp.f64 (log.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (log.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log.f64 (exp.f64 (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))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(/.f64 1 (cos.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2)) (cbrt.f64 (/.f64 1/2 y)))))
(/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (*.f64 x (cbrt.f64 (/.f64 1/2 y))))))
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)))))
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(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
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(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)
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(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (*.f64 x 1/2)) 1/3)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 x 1/2) 1/6) 2) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
(*.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 1 (/.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 (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 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))) 2) (pow.f64 (*.f64 x 1/2) 1/6)) (/.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))) (pow.f64 (*.f64 x 1/2) 1/6))))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2))))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2))) 1) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 3)) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))) 1)) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
(/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x 2) y))))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x 2) y)) -2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (*.f64 (*.f64 (pow.f64 (neg.f64 x) 1/18) (pow.f64 (neg.f64 x) 1/18)) (cbrt.f64 (cbrt.f64 -1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) 2)) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
(/.f64 (*.f64 (fabs.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (*.f64 (/.f64 (fabs.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (*.f64 (/.f64 (fabs.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))) 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 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 y (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))) (cbrt.f64 (*.f64 x 1/2))))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
(/.f64 1 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 4)) 1/6))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x 1/2) 1/6)) (cbrt.f64 (pow.f64 (*.f64 x 1/2) 1/6))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x 1/2) 1/6)) (cbrt.f64 (pow.f64 (*.f64 x 1/2) 1/6)))) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
(/.f64 1 (*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))))
(*.f64 (/.f64 (pow.f64 (/.f64 (*.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 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cbrt.f64 (sin.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 (*.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))))
Outputs
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 3)) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
(/.f64 1 (expm1.f64 (fma.f64 -1/16 (*.f64 (/.f64 x y) (/.f64 x y)) (log.f64 2))))
Calls

5 calls:

189.0ms
(*.f64 y 2)
135.0ms
y
123.0ms
x
119.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
114.0ms
(/.f64 x (*.f64 y 2))
Results
ErrorSegmentsBranch
25.8b1x
25.8b1y
24.8b2(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
25.8b1(/.f64 x (*.f64 y 2))
25.8b1(*.f64 y 2)
Compiler

Compiled 4901 to 3637 computations (25.8% saved)

bsearch2.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.8048804544386763
1.806862992436684
Compiler

Compiled 20 to 15 computations (25% saved)

regimes617.0ms (3.5%)

Counts
220 → 1
Calls
Call 1
Inputs
1
(/.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 1 (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x))))
(*.f64 1/2 (/.f64 x (*.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) y)))
(/.f64 1 (-.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) 1))
(/.f64 1 (-.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2) 2))
(/.f64 1 (fma.f64 -1/8 (/.f64 x (*.f64 y (/.f64 y x))) 1))
(/.f64 1 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1))
(/.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/8 1))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 1/2 (/.f64 x y)))
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (/.f64 1/2 (/.f64 y x)) (sin.f64 (/.f64 x (*.f64 y 2))))
(*.f64 (/.f64 1/2 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) x)) (/.f64 1 y))
(/.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
(/.f64 1 (fabs.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 1 (fabs.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 1 (fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) 1))
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
(/.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 1/2 y))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (*.f64 1/2 (/.f64 x y)) (fabs.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 1 (expm1.f64 (+.f64 (log.f64 2) (*.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
(/.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (*.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)))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -2))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 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 x (/.f64 1/2 y))))))
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 1 (expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2)
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3))))
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)))
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2)))
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3))
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3))
(pow.f64 (cbrt.f64 (/.f64 1 (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 x (/.f64 1/2 y))))) 3)
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 (*.f64 (sqrt.f64 y) (sqrt.f64 y))))))
(/.f64 1 (cos.f64 (*.f64 (sqrt.f64 x) (/.f64 1/2 (/.f64 y (sqrt.f64 x))))))
(/.f64 1 (cos.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 2 y)))))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (/.f64 y (sqrt.f64 x))) (sqrt.f64 x))))
(/.f64 1 (cos.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1/2 (sqrt.f64 y)))))
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3) 1/3)))
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))))))
(/.f64 1 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1))
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 3))
(/.f64 1 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 2))
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (*.f64 y 2) (cbrt.f64 x)))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 x (sqrt.f64 (*.f64 y 2))) (sqrt.f64 (*.f64 y 2)))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 x (/.f64 (cbrt.f64 (*.f64 y y)) 1/2)) (cbrt.f64 y))))
(/.f64 1 (expm1.f64 (fma.f64 -1/16 (*.f64 (/.f64 x y) (/.f64 x y)) (log.f64 2))))
(/.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (fabs.f64 (tan.f64 (*.f64 x (/.f64 1/2 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)))))
(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
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(/.f64 1 (cos.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 3) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2))))))
(log1p.f64 (expm1.f64 (*.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 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (log1p.f64 (expm1.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(*.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 3) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 (/.f64 y (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))))) (cbrt.f64 (*.f64 x 1/2))))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/2))) 2/3)) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
(*.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)))) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 x 1/2) 1/3) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (*.f64 x 1/2) 1/6)) (/.f64 (cbrt.f64 y) (pow.f64 (*.f64 x 1/2) 1/6))) (cbrt.f64 (*.f64 x 1/2))))))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (/.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))))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (/.f64 (pow.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (/.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (/.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))))
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))) 2) (cbrt.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)))))))
(/.f64 1 (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) (/.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -1/2))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 1/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
(/.f64 1 (/.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 y x))) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -1/2)))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (pow.f64 (pow.f64 (*.f64 x 1/2) 1/6) 2)))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (cbrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 x 1/2)) 1/3)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/6)) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (*.f64 x 1/2)) 1/3)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 x 1/2) 1/6) 2) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
(*.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 1 (/.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 (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 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))) 2) (pow.f64 (*.f64 x 1/2) 1/6)) (/.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2)))) (pow.f64 (*.f64 x 1/2) 1/6))))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 y (pow.f64 (cbrt.f64 1/2) 2))))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2))) 2))) 1) (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
Outputs
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))) 3))
Calls

5 calls:

121.0ms
(*.f64 y 2)
115.0ms
x
112.0ms
y
98.0ms
(/.f64 x (*.f64 y 2))
58.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
Results
ErrorSegmentsBranch
25.8b1x
25.8b1y
25.8b1(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
25.8b1(/.f64 x (*.f64 y 2))
25.8b1(*.f64 y 2)
Compiler

Compiled 4141 to 3062 computations (26.1% saved)

regimes570.0ms (3.3%)

Counts
134 → 1
Calls
Call 1
Inputs
1
(/.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 1 (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x))))
(*.f64 1/2 (/.f64 x (*.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) y)))
(/.f64 1 (-.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) 1))
(/.f64 1 (-.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2) 2))
(/.f64 1 (fma.f64 -1/8 (/.f64 x (*.f64 y (/.f64 y x))) 1))
(/.f64 1 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1))
(/.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/8 1))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 1/2 (/.f64 x y)))
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (/.f64 1/2 (/.f64 y x)) (sin.f64 (/.f64 x (*.f64 y 2))))
(*.f64 (/.f64 1/2 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) x)) (/.f64 1 y))
(/.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
(/.f64 1 (fabs.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 1 (fabs.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 1 (fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) 1))
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
(/.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 1/2 y))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (*.f64 1/2 (/.f64 x y)) (fabs.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 1 (expm1.f64 (+.f64 (log.f64 2) (*.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
(/.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (*.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)))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -2))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 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 x (/.f64 1/2 y))))))
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 1 (expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2)
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3))))
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(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2)))
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(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3))
(pow.f64 (cbrt.f64 (/.f64 1 (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 x (/.f64 1/2 y))))) 3)
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 (*.f64 (sqrt.f64 y) (sqrt.f64 y))))))
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(/.f64 1 (cos.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 2 y)))))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (/.f64 y (sqrt.f64 x))) (sqrt.f64 x))))
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(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (*.f64 y 2) (cbrt.f64 x)))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 x (sqrt.f64 (*.f64 y 2))) (sqrt.f64 (*.f64 y 2)))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 x (/.f64 (cbrt.f64 (*.f64 y y)) 1/2)) (cbrt.f64 y))))
(/.f64 1 (expm1.f64 (fma.f64 -1/16 (*.f64 (/.f64 x y) (/.f64 x y)) (log.f64 2))))
(/.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (fabs.f64 (tan.f64 (*.f64 x (/.f64 1/2 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)))))
(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
(/.f64 (fabs.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
(/.f64 1 (*.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4))))) 1))
(/.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 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
(/.f64 1 (/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)) 1) (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2)))
(/.f64 1 (expm1.f64 (fabs.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 1 (cos.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 y) 3) (pow.f64 x 3)))))
(/.f64 1 (cos.f64 (*.f64 (/.f64 x y) (*.f64 (cbrt.f64 -1/2) (pow.f64 (cbrt.f64 1/2) 2)))))
(/.f64 1 (cos.f64 (*.f64 (/.f64 (cbrt.f64 -1/2) y) (*.f64 x (pow.f64 (cbrt.f64 1/2) 2)))))
(/.f64 1 (cos.f64 (*.f64 (/.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) y) (cbrt.f64 x))))
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 x) (/.f64 (*.f64 y 2) (pow.f64 (cbrt.f64 x) 2)))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) 1/2) (cbrt.f64 y))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 y))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)) (cbrt.f64 y))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 x 2) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))))
(/.f64 1 (cos.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 x 1/2)) (/.f64 1 (sqrt.f64 y))) 2)))
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3/2) 1/3) 2)))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (exp.f64 (log.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (log.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log.f64 (exp.f64 (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))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(/.f64 1 (cos.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2)) (cbrt.f64 (/.f64 1/2 y)))))
(/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (*.f64 x (cbrt.f64 (/.f64 1/2 y))))))
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 y (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)))))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3)) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (*.f64 y 2))))
(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 y 2))) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(/.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 1) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 2)) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (*.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (/.f64 y x)))) (cbrt.f64 (/.f64 y x)))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 x (*.f64 (cbrt.f64 (*.f64 y 2)) (cbrt.f64 (*.f64 y 2)))) (cbrt.f64 (*.f64 y 2)))))
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (pow.f64 (*.f64 x 1/2) 1/3)))))
(/.f64 1 (cos.f64 (/.f64 (pow.f64 (*.f64 x 1/2) 1/3) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))) 2)))
(log1p.f64 (expm1.f64 (/.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y)))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) (sqrt.f64 x))) (/.f64 (sqrt.f64 y) (sqrt.f64 x)))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 y) 1/2)) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y)))))
(/.f64 1 (cos.f64 (*.f64 (cbrt.f64 x) (/.f64 1/2 (*.f64 (cbrt.f64 y) (cbrt.f64 (pow.f64 (/.f64 y x) 2)))))))
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 x 1/2))) 2))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (*.f64 x (cbrt.f64 (*.f64 1/4 (pow.f64 y -2)))) (cbrt.f64 1/2)) (cbrt.f64 y))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (cbrt.f64 (pow.f64 (fabs.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 3)))
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (exp.f64 (-.f64 (log.f64 y) (*.f64 (log.f64 (*.f64 x 1/2)) 2/3))))))
(/.f64 1 (*.f64 (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) (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 x (/.f64 1/2 y)))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2) (cbrt.f64 (*.f64 1/2 x))) (cbrt.f64 y))))
(/.f64 1 (sqrt.f64 (pow.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4))))) 2)))
Outputs
(/.f64 1 (*.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4))))) 1))
Calls

5 calls:

217.0ms
y
153.0ms
x
65.0ms
(*.f64 y 2)
51.0ms
(/.f64 x (*.f64 y 2))
32.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
Results
ErrorSegmentsBranch
25.8b1x
25.8b1y
25.8b1(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
25.8b1(/.f64 x (*.f64 y 2))
25.8b1(*.f64 y 2)
Compiler

Compiled 1896 to 1349 computations (28.9% saved)

regimes306.0ms (1.8%)

Counts
74 → 1
Calls
Call 1
Inputs
1
(/.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 1 (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x))))
(*.f64 1/2 (/.f64 x (*.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) y)))
(/.f64 1 (-.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) 1))
(/.f64 1 (-.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2) 2))
(/.f64 1 (fma.f64 -1/8 (/.f64 x (*.f64 y (/.f64 y x))) 1))
(/.f64 1 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1))
(/.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/8 1))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 1/2 (/.f64 x y)))
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (/.f64 1/2 (/.f64 y x)) (sin.f64 (/.f64 x (*.f64 y 2))))
(*.f64 (/.f64 1/2 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) x)) (/.f64 1 y))
(/.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
(/.f64 1 (fabs.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 1 (fabs.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 1 (fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) 1))
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
(/.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 1/2 y))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (*.f64 1/2 (/.f64 x y)) (fabs.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 1 (expm1.f64 (+.f64 (log.f64 2) (*.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
(/.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (*.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)))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -2))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 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 x (/.f64 1/2 y))))))
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 1 (expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2)
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3))))
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)))
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2)))
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3))
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3))
(pow.f64 (cbrt.f64 (/.f64 1 (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 x (/.f64 1/2 y))))) 3)
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 (*.f64 (sqrt.f64 y) (sqrt.f64 y))))))
(/.f64 1 (cos.f64 (*.f64 (sqrt.f64 x) (/.f64 1/2 (/.f64 y (sqrt.f64 x))))))
(/.f64 1 (cos.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 2 y)))))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (/.f64 y (sqrt.f64 x))) (sqrt.f64 x))))
(/.f64 1 (cos.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1/2 (sqrt.f64 y)))))
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3) 1/3)))
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))))))
(/.f64 1 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1))
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 3))
(/.f64 1 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))) 2))
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (*.f64 y 2) (cbrt.f64 x)))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 x (sqrt.f64 (*.f64 y 2))) (sqrt.f64 (*.f64 y 2)))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 x (/.f64 (cbrt.f64 (*.f64 y y)) 1/2)) (cbrt.f64 y))))
(/.f64 1 (expm1.f64 (fma.f64 -1/16 (*.f64 (/.f64 x y) (/.f64 x y)) (log.f64 2))))
(/.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (fabs.f64 (tan.f64 (*.f64 x (/.f64 1/2 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)))))
(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
(/.f64 (fabs.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
Outputs
(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x))))
Calls

5 calls:

57.0ms
(*.f64 y 2)
30.0ms
(/.f64 x (*.f64 y 2))
30.0ms
y
30.0ms
x
19.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
Results
ErrorSegmentsBranch
26.1b1x
26.1b1y
26.1b1(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
26.1b1(/.f64 x (*.f64 y 2))
26.1b1(*.f64 y 2)
Compiler

Compiled 903 to 630 computations (30.2% saved)

regimes9.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
1
(/.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))))
Outputs
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
Calls

2 calls:

4.0ms
x
4.0ms
y
Results
ErrorSegmentsBranch
26.2b1x
26.2b1y
Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes7.0ms (0%)

Accuracy

Total -2.4b remaining (-9.2%)

Threshold costs -2.4b (-9.2%)

Counts
2 → 1
Calls
Call 1
Inputs
1
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
Outputs
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
Calls

2 calls:

3.0ms
y
3.0ms
x
Results
ErrorSegmentsBranch
26.2b1x
26.2b1y
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
14×*-commutative
*-rgt-identity
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0664294967479
1764294967479
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) 8128997327403745/4503599627370496) (/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 3)) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2)))))) (/.f64 1 (expm1.f64 (fma.f64 -1/16 (*.f64 (/.f64 x y) (/.f64 x y)) (log.f64 2)))))
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))) 3))
(/.f64 1 (*.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4))))) 1))
(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1
Outputs
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) 8128997327403745/4503599627370496) (/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/2)))) 3)) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2)))))) (/.f64 1 (expm1.f64 (fma.f64 -1/16 (*.f64 (/.f64 x y) (/.f64 x y)) (log.f64 2)))))
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4)))))) 3))
(/.f64 1 (*.f64 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4))))) 1))
(/.f64 1 (cos.f64 (/.f64 1 (*.f64 (/.f64 1 x) (/.f64 (/.f64 y (cbrt.f64 1/2)) (cbrt.f64 1/4))))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1
Compiler

Compiled 138 to 114 computations (17.4% saved)

soundness164.0ms (0.9%)

Algorithm
egg-herbie
Rules
1392×associate-+r+
1032×associate-/r/
876×associate-/l/
824×associate-/l*
792×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05037344
111946872
247576846
03347412
17657124
233757032
Stop Event
node limit
node limit
Compiler

Compiled 185 to 146 computations (21.1% saved)

end80.0ms (0.5%)

Compiler

Compiled 126 to 101 computations (19.8% saved)

Profiling

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