Details

Time bar (total: 13.9s)

analyze583.0ms (4.2%)

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)

sample3.1s (22.6%)

Results
989.0ms1154×body2048valid
944.0ms4837×body256valid
799.0ms1383×body1024valid
376.0ms879×body512valid
5.0msbody4096valid
Bogosity

preprocess7.0ms (0.1%)

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)

simplify11.0ms (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
35.3b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
35.3b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize41.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
10.1b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
24.7b
(sin.f64 (/.f64 x (*.f64 y 2)))
25.3b
(tan.f64 (/.f64 x (*.f64 y 2)))
Compiler

Compiled 38 to 25 computations (34.2% saved)

series11.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
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)))
1.0ms
x
@0
(tan.f64 (/.f64 x (*.f64 y 2)))

rewrite223.0ms (1.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01173
123173
2306073
Stop Event
node limit
Counts
3 → 115
Calls
Call 1
Inputs
(tan.f64 (/.f64 x (*.f64 y 2)))
(sin.f64 (/.f64 x (*.f64 y 2)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
Outputs
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simplify233.0ms (1.7%)

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

eval228.0ms (1.6%)

Compiler

Compiled 8186 to 5947 computations (27.4% saved)

prune157.0ms (1.1%)

Pruning

46 alts after pruning (45 fresh and 1 done)

PrunedKeptTotal
New16345208
Fresh000
Picked011
Done000
Total16346209
Error
22.3b
Counts
209 → 46
Alt Table
Click to see full alt table
StatusErrorProgram
35.1b
(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
35.1b
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)
35.8b
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (*.f64 y 2))))
35.9b
(/.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))))
50.4b
(/.f64 (/.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
36.0b
(/.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (/.f64 (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))) (sin.f64 (/.f64 x (*.f64 y 2))))
35.4b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
35.8b
(/.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
36.3b
(/.f64 (/.f64 1 (/.f64 (/.f64 (cos.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))) (sin.f64 (/.f64 x (*.f64 y 2))))
35.9b
(/.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
35.9b
(/.f64 (/.f64 -1 (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
35.9b
(/.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))))
35.9b
(/.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))))
35.9b
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
36.2b
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)) (/.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (*.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
35.9b
(/.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))))
37.3b
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2))))
35.8b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
60.9b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
44.6b
(/.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)))))
35.8b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
35.4b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
54.1b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
35.3b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
60.9b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
48.4b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (fabs.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))
35.4b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (expm1.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
51.3b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
35.4b
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (/.f64 x (*.f64 y 2))))
35.1b
(/.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))))
35.4b
(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
60.1b
(/.f64 (log.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
48.0b
(/.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
25.1b
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
36.5b
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1)
30.1b
(+.f64 1 (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y))))
35.1b
(*.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))))))
36.3b
(*.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))))))
35.4b
(*.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)))
35.8b
(*.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)))))
49.7b
(*.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))))))
35.7b
(*.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))))))
35.7b
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
35.1b
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
24.6b
1
Compiler

Compiled 2136 to 1616 computations (24.3% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
25.0b
(cos.f64 (*.f64 1/2 (/.f64 x y)))
Compiler

Compiled 28 to 15 computations (46.4% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

12 calls:

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

rewrite70.0ms (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
01140
122340
2268240
Stop Event
node limit
Counts
2 → 98
Calls
Call 1
Inputs
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
Outputs
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simplify81.0ms (0.6%)

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

Useful iterations: 2 (0.0ms)

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

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
16.2b
(/.f64 (*.f64 x x) (*.f64 y y))
Compiler

Compiled 39 to 13 computations (66.7% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite54.0ms (0.4%)

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

Useful iterations: 1 (0.0ms)

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

simplify53.0ms (0.4%)

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

Useful iterations: 1 (0.0ms)

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

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
10.1b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
24.7b
(sin.f64 (*.f64 x (/.f64 1/2 y)))
24.7b
(sin.f64 (/.f64 x (*.f64 y 2)))
25.0b
(cos.f64 (*.f64 x (/.f64 1/2 y)))
Compiler

Compiled 73 to 49 computations (32.9% saved)

series2.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite90.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
694×associate-/r/
658×associate-/l/
554×distribute-lft-neg-in
488×distribute-rgt-neg-in
354×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01673
134773
2488973
Stop Event
node limit
Counts
3 → 119
Calls
Call 1
Inputs
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
Outputs
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simplify95.0ms (0.7%)

Algorithm
egg-herbie
Rules
1410×times-frac
1244×distribute-lft-neg-out
794×associate-*r*
778×associate-/r*
630×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03455541
18565455
261605455
Stop Event
node limit
Counts
191 → 168
Calls
Call 1
Inputs
1
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(*.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1) (/.f64 1 (*.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
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(*.f64 (/.f64 1 (*.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(*.f64 (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cos.f64 (*.f64 x (/.f64 1/2 y))))))
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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))))))
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(*.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (+.f64 (sin.f64 (*.f64 (/.f64 x y) 0)) (sin.f64 (*.f64 (/.f64 x y) 1)))) 2)
(*.f64 (/.f64 1 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
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(*.f64 (/.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1) (tan.f64 (*.f64 x (/.f64 1/2 y))))
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(*.f64 (/.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
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(*.f64 (/.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(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
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 (pow.f64 x 6) (/.f64 (pow.f64 y 6) -1/46080))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 x (/.f64 1/2 y)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.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 (pow.f64 x 6) (/.f64 (pow.f64 y 6) -1/46080))))
1
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(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))))
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(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.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 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (*.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (sin.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 (/.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sin.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 (/.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1) (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 (/.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (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 (/.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (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 (/.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (sin.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 (/.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1)) (sin.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 (/.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3) 1/3)
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(neg.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(fabs.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
9.6b
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))
10.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
24.7b
(sin.f64 (*.f64 x (/.f64 1/2 y)))
25.3b
(tan.f64 (/.f64 x (*.f64 y 2)))
Compiler

Compiled 67 to 47 computations (29.9% saved)

series2.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite79.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1886×associate-/l*
416×distribute-lft-neg-in
368×associate-/r/
330×associate-/l/
328×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01656
134456
2426356
Stop Event
node limit
Counts
2 → 69
Calls
Call 1
Inputs
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))
Outputs
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simplify91.0ms (0.7%)

Algorithm
egg-herbie
Rules
1154×associate-+l+
936×associate--r+
886×+-commutative
774×associate-+r+
600×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03415739
19615579
244685579
Stop Event
node limit
Counts
117 → 131
Calls
Call 1
Inputs
1
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1
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1
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 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))))))
(-.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 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))
(*.f64 -1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (neg.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (pow.f64 1 1/2) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1/2))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2) 1/2)
(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)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3)
(neg.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(fabs.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))
(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))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))
(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 2 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1/2))
(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)))))
Outputs
1
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(fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
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(+.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 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 y 6) (pow.f64 x 6))))))
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(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))
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(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))
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(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))
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(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))
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(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))
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(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 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 (*.f64 1/2 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 (*.f64 1/2 x) y)))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
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(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))
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(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
1
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(*.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 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 (/.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 (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 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 (/.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 (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)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))
(/.f64 (*.f64 (cbrt.f64 (pow.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 (/.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 (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 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 (/.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 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)))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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)))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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))))
(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 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1)
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1)
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(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)))))
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(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))
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 4))) (fabs.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 -1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (neg.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 (pow.f64 1 1/2) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 4))) (fabs.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2) 1/2)
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1)
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3)
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(neg.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(fabs.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(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 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(exp.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1/2))
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1))
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(sin.f64 (/.f64 (*.f64 1/2 x) y))
(sin.f64 (*.f64 x (/.f64 1/2 y)))

localize60.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
8.6b
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
10.4b
(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))
24.7b
(sin.f64 (*.f64 x (/.f64 1/2 y)))
25.3b
(tan.f64 (*.f64 x (/.f64 1/2 y)))
Compiler

Compiled 93 to 68 computations (26.9% saved)

series26.0ms (0.2%)

Counts
3 → 48
Calls

18 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
4.0ms
y
@-inf
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
2.0ms
x
@0
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
2.0ms
y
@inf
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
2.0ms
x
@inf
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))))

rewrite101.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1568×associate-*r/
1190×associate-*l/
890×associate-/r*
606×associate-/l*
282×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01481
128581
2342481
Stop Event
node limit
Counts
3 → 212
Calls
Call 1
Inputs
(tan.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)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
Outputs
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y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))))))

simplify149.0ms (1.1%)

Algorithm
egg-herbie
Rules
1606×associate-/l*
1414×times-frac
704×associate-*r*
698×associate-/r*
564×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057914226
1142314140
2755014140
Stop Event
node limit
Counts
260 → 317
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)))))
(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)
(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)
(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)
(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)
(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 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 1)
(*.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1)
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)))
(*.f64 1 (tan.f64 (*.f64 x (/.f64 1/2 y))))
(*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) 1) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1/6)) (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1/6))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (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 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)) (cos.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))) 1)
(/.f64 1 (/.f64 1 (tan.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 1 (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 1 (*.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cos.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1))
(/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (*.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1))
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) -1/2)))
(/.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))))
(/.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)) (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)) (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (neg.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)) (*.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 -1 (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1))
(/.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.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)))))))
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))) (/.f64 (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
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(/.f64 (*.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) -2))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (*.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (*.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (*.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))) 1) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (*.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))) -1) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) -2)) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1/6) 1) (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1/6)) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (*.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1/6) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))) (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1/6)) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2) 1) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (*.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))))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1/6) (sqrt.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2) 1) (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 (*.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1) 1) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (*.f64 (*.f64 -1 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 1) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 1) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (tan.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)) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
(/.f64 (*.f64 1 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
(/.f64 (*.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) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2) (/.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1)
(/.f64 (*.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))))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.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)))))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
(/.f64 (/.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1) 1) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (/.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))) (neg.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1) -1) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (/.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1) (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (/.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (/.f64 (*.f64 -1 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 1) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (/.f64 (*.f64 -1 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 (*.f64 -1 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))) (neg.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 (*.f64 -1 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) -1) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (/.f64 (*.f64 -1 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 (*.f64 -1 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 (*.f64 -1 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (/.f64 (*.f64 -1 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (/.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1) 1) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (/.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (/.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))) 1) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (/.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 (neg.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 1) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (/.f64 (neg.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 (neg.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))) (neg.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 (neg.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) -1) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (/.f64 (neg.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 (neg.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 (neg.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (/.f64 (neg.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(pow.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)
(pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)) 1/3)
(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)))
(cbrt.f64 (*.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (/.f64 1 (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
(*.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))))
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(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2)))
(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)))
(sqrt.f64 (pow.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(fabs.f64 (/.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)))
(cbrt.f64 (*.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 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)))
(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))))

eval947.0ms (6.8%)

Compiler

Compiled 40697 to 30344 computations (25.4% saved)

prune665.0ms (4.8%)

Pruning

91 alts after pruning (88 fresh and 3 done)

PrunedKeptTotal
New1133621195
Fresh142640
Picked101
Done235
Total1150911241
Error
22.2b
Counts
1241 → 91
Alt Table
Click to see full alt table
StatusErrorProgram
35.1b
(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
25.1b
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)
35.1b
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)
35.8b
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (*.f64 y 2))))
35.9b
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
54.3b
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
60.1b
(/.f64 (/.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
54.4b
(/.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (/.f64 (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
36.0b
(/.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (/.f64 (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))) (sin.f64 (/.f64 x (*.f64 y 2))))
54.1b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
35.5b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (fabs.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
35.6b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
60.8b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
35.1b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1))
35.4b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
60.8b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
48.7b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (fabs.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))
35.7b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1) (sin.f64 (/.f64 x (*.f64 y 2))))
60.1b
(/.f64 (/.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
35.8b
(/.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
36.3b
(/.f64 (/.f64 1 (/.f64 (/.f64 (cos.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))) (sin.f64 (/.f64 x (*.f64 y 2))))
54.2b
(/.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
35.9b
(/.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
35.9b
(/.f64 (/.f64 -1 (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
35.9b
(/.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))))
37.3b
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2))))
35.8b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
37.1b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (/.f64 (*.f64 1/2 x) y))
60.9b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
35.8b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
57.7b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 4))) (fabs.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
54.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3) 2)))
61.6b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sqrt.f64 (pow.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)))
35.3b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
35.4b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
60.9b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
48.5b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (fabs.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
35.4b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (expm1.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
51.3b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
35.4b
(/.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))))
54.1b
(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
35.4b
(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
60.1b
(/.f64 (log.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
46.0b
(/.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
48.0b
(/.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
56.0b
(/.f64 (exp.f64 (log.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
29.5b
(/.f64 1 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1))
26.7b
(/.f64 1 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1))
25.1b
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3))
25.1b
(/.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))))))))
25.1b
(/.f64 1 (/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) (cbrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))) (/.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))))))
25.1b
(/.f64 1 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1))
25.1b
(/.f64 1 (*.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))))))
25.2b
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
25.1b
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
25.1b
(/.f64 1 (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
25.1b
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
24.9b
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
25.1b
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
27.2b
(+.f64 1 (*.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y))))
50.8b
(*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
36.6b
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 3) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
36.6b
(*.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) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
50.3b
(*.f64 (pow.f64 (/.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))))))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
36.3b
(*.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) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
36.3b
(*.f64 (pow.f64 (log1p.f64 (expm1.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))))))
36.3b
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3)) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
35.1b
(*.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))))))
35.8b
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3))
35.3b
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (/.f64 (/.f64 (neg.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
36.1b
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2))) (/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2)))))
38.1b
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
35.8b
(*.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 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))))
35.8b
(*.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 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))
36.3b
(*.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 1/2 (/.f64 x y))))))
48.6b
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (*.f64 (cbrt.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
61.1b
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (log1p.f64 (expm1.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
36.2b
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (fabs.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y))))))
36.3b
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
35.8b
(*.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)))))
35.7b
(*.f64 (/.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
35.7b
(*.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cos.f64 (*.f64 x (/.f64 1/2 y))))))
35.7b
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
35.4b
(*.f64 2 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (+.f64 0 (sin.f64 (/.f64 x y)))))
25.2b
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
35.1b
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))
25.1b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
26.3b
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
25.1b
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
24.6b
1
Compiler

Compiled 4326 to 3356 computations (22.4% saved)

localize46.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
0.2b
(*.f64 x (/.f64 1/2 y))
25.0b
(cos.f64 (*.f64 x (/.f64 1/2 y)))
Compiler

Compiled 28 to 19 computations (32.1% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite94.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01136
122436
2262936
Stop Event
node limit
Counts
2 → 124
Calls
Call 1
Inputs
(*.f64 x (/.f64 1/2 y))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 x y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (*.f64 y 2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 y (*.f64 1/2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (/.f64 (*.f64 y 2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 y 2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 y (*.f64 1/2 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) (/.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x 1/2)) (/.f64 y (sqrt.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 x 1/2))) (/.f64 y (cbrt.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (sqrt.f64 (/.f64 1/2 y))) (sqrt.f64 (*.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/2) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 2) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x 1) 1) (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x 1) -1/2) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x 1) -1) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x 1) (/.f64 1/2 (sqrt.f64 y))) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x 1) (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x (sqrt.f64 y)) 1/2) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) 1/2) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 x) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) x) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) x) (cbrt.f64 y))))) (#(struct:change #<rule 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y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 1/2 (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (*.f64 (cbrt.f64 (*.f64 y 2)) (cbrt.f64 (*.f64 y 2)))) (cbrt.f64 (*.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -1/2) 1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 y) 2)) (neg.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -1/2) -1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -1/2) (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) 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simplify87.0ms (0.6%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
03563964
18733814
238873800
Stop Event
node limit
Counts
172 → 181
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 x y) 2))) 1)
(/.f64 x (*.f64 y 2))
(/.f64 1/2 (/.f64 y x))
(/.f64 (/.f64 (/.f64 x y) 2) 1)
(/.f64 1 (/.f64 y (/.f64 x 2)))
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 y 2) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 y (*.f64 1/2 (sqrt.f64 x))))
(/.f64 (cbrt.f64 x) (/.f64 (*.f64 y 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 y 2) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 y (*.f64 1/2 (cbrt.f64 x))))
(/.f64 (*.f64 x 1/2) y)
(/.f64 (*.f64 x 1/2) (/.f64 y 1))
(/.f64 -1/2 (/.f64 (neg.f64 y) x))
(/.f64 (sqrt.f64 (*.f64 x 1/2)) (/.f64 y (sqrt.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 x 1/2))) (/.f64 y (cbrt.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 x (sqrt.f64 (/.f64 1/2 y))) (sqrt.f64 (*.f64 y 2)))
(/.f64 (/.f64 x y) 2)
(/.f64 (*.f64 x -1/2) (neg.f64 y))
(/.f64 (/.f64 x 2) y)
(/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 x 1) (*.f64 y 2))
(/.f64 (*.f64 x -1) (*.f64 y -2))
(/.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 x (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (*.f64 1 (/.f64 x 2)) y)
(/.f64 (*.f64 1 (/.f64 (*.f64 x 1/2) (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 1 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) 2)) (sqrt.f64 (*.f64 x 1/2))) (sqrt.f64 y))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) 2) 2)) (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 y))
(/.f64 (*.f64 (*.f64 x 1/2) -1) (neg.f64 y))
(/.f64 (*.f64 (*.f64 x 1/2) (/.f64 1 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 (*.f64 x 1/2) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 1/2 y))) 1) (sqrt.f64 (*.f64 y 2)))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 1/2 y))) (sqrt.f64 1/2)) (sqrt.f64 y))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 1/2 y))) (sqrt.f64 -1/2)) (sqrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (*.f64 x (cbrt.f64 (/.f64 (/.f64 1/4 y) y))) 1) (cbrt.f64 (*.f64 y 2)))
(/.f64 (*.f64 (*.f64 x (cbrt.f64 (/.f64 (/.f64 1/4 y) y))) (cbrt.f64 1/2)) (cbrt.f64 y))
(/.f64 (*.f64 (*.f64 x (cbrt.f64 (/.f64 (/.f64 1/4 y) y))) (cbrt.f64 -1/2)) (cbrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (/.f64 x 1) 1/2) y)
(/.f64 (*.f64 (/.f64 x 1) 1) (*.f64 y 2))
(/.f64 (*.f64 (/.f64 x 1) -1/2) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x 1) -1) (*.f64 y -2))
(/.f64 (*.f64 (/.f64 x 1) (/.f64 1/2 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 x 1) (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (*.f64 (/.f64 x (sqrt.f64 y)) 1/2) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) 1/2) (cbrt.f64 y))
(/.f64 (*.f64 -1 x) (*.f64 y -2))
(/.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) x) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) x) (cbrt.f64 y))
(/.f64 (*.f64 (*.f64 x -1/2) 1) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x 2) 1) y)
(/.f64 (*.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) 1) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) 1) (cbrt.f64 y))
(/.f64 (*.f64 1 (*.f64 x (sqrt.f64 (/.f64 1/2 y)))) (sqrt.f64 (*.f64 y 2)))
(/.f64 (*.f64 (sqrt.f64 1/2) (*.f64 x (sqrt.f64 (/.f64 1/2 y)))) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 -1/2) (*.f64 x (sqrt.f64 (/.f64 1/2 y)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 (/.f64 x y) 2))) (sqrt.f64 y))
(/.f64 (*.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) 2) 2))) (cbrt.f64 y))
(/.f64 (*.f64 x (/.f64 1/2 (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (*.f64 x 1/2) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 x (*.f64 (cbrt.f64 (*.f64 y 2)) (cbrt.f64 (*.f64 y 2)))) (cbrt.f64 (*.f64 y 2)))
(/.f64 (/.f64 (*.f64 x -1/2) 1) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 y) 2)) (neg.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (*.f64 x -1/2) -1) y)
(/.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (*.f64 x -1/2) (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (*.f64 x -1/2) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 x -1/2) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 x 2) 1) y)
(/.f64 (/.f64 (/.f64 x 2) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) 1) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) 1) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
(pow.f64 (/.f64 (/.f64 x y) 2) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 x y) 2)) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) 2)) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 x y) 2) 3) 1/3)
(neg.f64 (/.f64 (*.f64 x 1/2) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 x y) 2) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 x y) 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 x y) 2))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) 2) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 x y) 2)))
(exp.f64 (log.f64 (/.f64 (/.f64 x y) 2)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 x y) 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2))))) 1)
(*.f64 1 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2))))
(*.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2))) 1)
(*.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -1/2) (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))))
(*.f64 -1 (/.f64 -1 (cos.f64 (/.f64 (/.f64 x y) 2))))
(*.f64 (/.f64 -1 (cos.f64 (/.f64 (/.f64 x y) 2))) -1)
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))) -1) (pow.f64 (sqrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))) -1))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))) -1) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))) 2) -1))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))))) (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))))) (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -2)))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -2)))))
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))))) (*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -2))) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -2))) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -1/2))))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))) 3/2) (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))) 3/2))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) 3)) 1/6) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) 3)) 1/6))
(pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -1)
(pow.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2))) 1)
(pow.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -1/2) 2)
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))) -2)
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))) 3)
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) 3)) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) -2))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2))))))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2)))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2)))))
Outputs
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y))))
(fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)))))
(+.f64 1 (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 61/46080 (pow.f64 (/.f64 x y) 6)))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y))))
(fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)))))
(+.f64 1 (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(fma.f64 -1 (/.f64 (fma.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 7/23040)) (pow.f64 y 6)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y))))))
(-.f64 (-.f64 (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384))) (/.f64 (fma.f64 1/8 (*.f64 (pow.f64 x 6) -5/384) (*.f64 (pow.f64 x 6) 7/23040)) (pow.f64 y 6)))
(-.f64 (+.f64 1 (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) (/.f64 (fma.f64 1/8 (*.f64 (pow.f64 x 6) -5/384) (*.f64 (pow.f64 x 6) 7/23040)) (pow.f64 y 6)))
1
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y))))
(fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.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 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(fma.f64 -1 (/.f64 (fma.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 7/23040)) (pow.f64 y 6)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y))))))
(-.f64 (-.f64 (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384))) (/.f64 (fma.f64 1/8 (*.f64 (pow.f64 x 6) -5/384) (*.f64 (pow.f64 x 6) 7/23040)) (pow.f64 y 6)))
(-.f64 (+.f64 1 (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) (/.f64 (fma.f64 1/8 (*.f64 (pow.f64 x 6) -5/384) (*.f64 (pow.f64 x 6) 7/23040)) (pow.f64 y 6)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 x y) 2))) 1)
(*.f64 1/2 (/.f64 x y))
(/.f64 x (*.f64 y 2))
(*.f64 1/2 (/.f64 x y))
(/.f64 1/2 (/.f64 y x))
(*.f64 1/2 (/.f64 x y))
(/.f64 (/.f64 (/.f64 x y) 2) 1)
(*.f64 1/2 (/.f64 x y))
(/.f64 1 (/.f64 y (/.f64 x 2)))
(*.f64 1/2 (/.f64 x y))
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 y 2) (sqrt.f64 x)))
(*.f64 1/2 (/.f64 x y))
(/.f64 (sqrt.f64 x) (/.f64 y (*.f64 1/2 (sqrt.f64 x))))
(*.f64 1/2 (/.f64 x y))
(/.f64 (cbrt.f64 x) (/.f64 (*.f64 y 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 1/2 (/.f64 x y))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 y 2) (cbrt.f64 x)))
(*.f64 1/2 (/.f64 x y))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 y (*.f64 1/2 (cbrt.f64 x))))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 x 1/2) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 x 1/2) (/.f64 y 1))
(*.f64 1/2 (/.f64 x y))
(/.f64 -1/2 (/.f64 (neg.f64 y) x))
(*.f64 1/2 (/.f64 x y))
(/.f64 (sqrt.f64 (*.f64 x 1/2)) (/.f64 y (sqrt.f64 (*.f64 x 1/2))))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 x 1/2))) (/.f64 y (cbrt.f64 (*.f64 x 1/2))))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 x (sqrt.f64 (/.f64 1/2 y))) (sqrt.f64 (*.f64 y 2)))
(/.f64 x (/.f64 (sqrt.f64 (*.f64 y 2)) (sqrt.f64 (/.f64 1/2 y))))
(*.f64 (/.f64 x (sqrt.f64 (*.f64 y 2))) (sqrt.f64 (/.f64 1/2 y)))
(/.f64 (/.f64 x y) 2)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 x -1/2) (neg.f64 y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (/.f64 x 2) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (/.f64 x 1) (*.f64 y 2))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 x -1) (*.f64 y -2))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 x (/.f64 1/2 (sqrt.f64 y))) (sqrt.f64 y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 x (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1 (/.f64 x 2)) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1 (/.f64 (*.f64 x 1/2) (sqrt.f64 y))) (sqrt.f64 y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 1 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) 2)) (sqrt.f64 (*.f64 x 1/2))) (sqrt.f64 y))
(/.f64 (sqrt.f64 (*.f64 1/2 x)) (/.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) (sqrt.f64 y)) (sqrt.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 y)) (sqrt.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) 2) 2)) (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 y))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 2)) (/.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 2)) (cbrt.f64 y)) (cbrt.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 y)) (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 2)))
(/.f64 (*.f64 (*.f64 x 1/2) -1) (neg.f64 y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 (*.f64 x 1/2) (/.f64 1 (sqrt.f64 y))) (sqrt.f64 y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 (*.f64 x 1/2) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 1/2 y))) 1) (sqrt.f64 (*.f64 y 2)))
(/.f64 x (/.f64 (sqrt.f64 (*.f64 y 2)) (sqrt.f64 (/.f64 1/2 y))))
(*.f64 (/.f64 x (sqrt.f64 (*.f64 y 2))) (sqrt.f64 (/.f64 1/2 y)))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 1/2 y))) (sqrt.f64 1/2)) (sqrt.f64 y))
(/.f64 (*.f64 x (sqrt.f64 (/.f64 1/2 y))) (/.f64 (sqrt.f64 y) (sqrt.f64 1/2)))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 (/.f64 1/2 y))) (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 (*.f64 x (sqrt.f64 (/.f64 1/2 y))) (sqrt.f64 -1/2)) (sqrt.f64 (neg.f64 y)))
(/.f64 (*.f64 x (sqrt.f64 (/.f64 1/2 y))) (/.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 -1/2)))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 (/.f64 1/2 y))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 -1/2))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2))))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2)))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2)))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 36 to 12 computations (66.7% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite50.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

simplify89.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

localize59.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
0.3b
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
0.3b
(log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
25.0b
(cos.f64 (*.f64 1/2 (/.f64 x y)))
Compiler

Compiled 57 to 35 computations (38.6% saved)

series103.0ms (0.7%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
45.0ms
x
@inf
(log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
43.0ms
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))))
1.0ms
x
@0
(log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
1.0ms
y
@inf
(log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))

rewrite124.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1208×associate-*r/
1044×*-commutative
894×associate-/r*
862×associate-*l/
624×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01363
126861
2305661
Stop Event
node limit
Counts
3 → 146
Calls
Call 1
Inputs
(log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
(exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
Outputs
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simplify157.0ms (1.1%)

Algorithm
egg-herbie
Rules
1750×associate-*r/
1502×associate--r+
910×associate--l+
858×+-commutative
626×associate-+r-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040510790
1105110306
2471110300
Stop Event
node limit
Counts
218 → 269
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
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(pow.f64 (E.f64) (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(pow.f64 (pow.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) 3) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 2)) (cbrt.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (sqrt.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1))))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) 3))
(expm1.f64 (log.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)))
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 (*.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))))))
(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 (*.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 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))))))
(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 (*.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))))
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 -1/46080 (/.f64 (pow.f64 y 6) (pow.f64 x 6)))))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/8 (+.f64 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/384 1) (*.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 2 (/.f64 (+.f64 (*.f64 1/512 (pow.f64 x 4)) (*.f64 1/24 (+.f64 (*.f64 -3/64 (pow.f64 x 4)) (*.f64 1/32 (pow.f64 x 4))))) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 2 (/.f64 (fma.f64 1/512 (pow.f64 x 4) (*.f64 1/24 (*.f64 (pow.f64 x 4) -1/64))) (pow.f64 y 4))))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/8 (fma.f64 2 (/.f64 (fma.f64 (pow.f64 x 4) 1/512 (*.f64 -1/1536 (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 2 (/.f64 (+.f64 (*.f64 1/512 (pow.f64 x 4)) (*.f64 1/24 (+.f64 (*.f64 -3/64 (pow.f64 x 4)) (*.f64 1/32 (pow.f64 x 4))))) (pow.f64 y 4))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1/24576 (pow.f64 x 6)) (+.f64 (*.f64 -1/384 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -3/64 (pow.f64 x 4)) (*.f64 1/32 (pow.f64 x 4))))) (*.f64 1/720 (+.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 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 2 (+.f64 (/.f64 (fma.f64 1/512 (pow.f64 x 4) (*.f64 1/24 (*.f64 (pow.f64 x 4) -1/64))) (pow.f64 y 4)) (/.f64 (fma.f64 -1/24576 (pow.f64 x 6) (fma.f64 -1/384 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/64)) (*.f64 1/720 (fma.f64 -1/128 (pow.f64 x 6) (*.f64 (pow.f64 x 6) 0))))) (pow.f64 y 6)))))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/8 (fma.f64 2 (+.f64 (/.f64 (fma.f64 (pow.f64 x 4) 1/512 (*.f64 -1/1536 (pow.f64 x 4))) (pow.f64 y 4)) (/.f64 (fma.f64 (pow.f64 x 6) -1/24576 (fma.f64 (*.f64 (*.f64 x x) -1/384) (*.f64 (pow.f64 x 4) -1/64) (*.f64 -1/92160 (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 (*.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 2 (/.f64 (+.f64 (*.f64 1/512 (pow.f64 x 4)) (*.f64 1/24 (+.f64 (*.f64 -3/64 (pow.f64 x 4)) (*.f64 1/32 (pow.f64 x 4))))) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 2 (/.f64 (fma.f64 1/512 (pow.f64 x 4) (*.f64 1/24 (*.f64 (pow.f64 x 4) -1/64))) (pow.f64 y 4))))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/8 (fma.f64 2 (/.f64 (fma.f64 (pow.f64 x 4) 1/512 (*.f64 -1/1536 (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 2 (/.f64 (+.f64 (*.f64 1/512 (pow.f64 x 4)) (*.f64 1/24 (+.f64 (*.f64 -3/64 (pow.f64 x 4)) (*.f64 1/32 (pow.f64 x 4))))) (pow.f64 y 4))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1/24576 (pow.f64 x 6)) (+.f64 (*.f64 -1/384 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -3/64 (pow.f64 x 4)) (*.f64 1/32 (pow.f64 x 4))))) (*.f64 1/720 (+.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 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 2 (+.f64 (/.f64 (fma.f64 1/512 (pow.f64 x 4) (*.f64 1/24 (*.f64 (pow.f64 x 4) -1/64))) (pow.f64 y 4)) (/.f64 (fma.f64 -1/24576 (pow.f64 x 6) (fma.f64 -1/384 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/64)) (*.f64 1/720 (fma.f64 -1/128 (pow.f64 x 6) (*.f64 (pow.f64 x 6) 0))))) (pow.f64 y 6)))))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/8 (fma.f64 2 (+.f64 (/.f64 (fma.f64 (pow.f64 x 4) 1/512 (*.f64 -1/1536 (pow.f64 x 4))) (pow.f64 y 4)) (/.f64 (fma.f64 (pow.f64 x 6) -1/24576 (fma.f64 (*.f64 (*.f64 x x) -1/384) (*.f64 (pow.f64 x 4) -1/64) (*.f64 -1/92160 (pow.f64 x 6)))) (pow.f64 y 6))) 1))
2
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 2)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 2)
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/8 2)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 2 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 2) (*.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 2))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 2 (+.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)) 2) (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 (pow.f64 x 4) (pow.f64 y 4)) 1/384 (/.f64 -1/46080 (/.f64 (pow.f64 y 6) (pow.f64 x 6)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/8 2))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/8 (+.f64 (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -1/46080) (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/384 2)))
(+.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))))
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(fma.f64 1 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) -1)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(fma.f64 (sqrt.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)) (sqrt.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)) -1)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)) 2) (cbrt.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)) -1)
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 1/2 (/.f64 y x)))
(+.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 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) 0)
(+.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 0 (+.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 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2) -1)
(+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(+.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(+.f64 -1 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2))
(+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(+.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(-.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) 0)
(+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(+.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(-.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2) 1)
(+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(+.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(-.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) 2) (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2)) (-.f64 (/.f64 1 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2)) 1))
(+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(+.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(-.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) 3) (+.f64 (pow.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) 2) (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2))) (-.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) 2) (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2))) 1))
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3) (+.f64 (+.f64 2 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2))) (/.f64 1 (+.f64 (+.f64 2 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2)))) 1)
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)) (+.f64 2 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2)))))
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 3)) (+.f64 1 (*.f64 (+.f64 1 (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) 2) (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2))) (/.f64 1 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2)))
(+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(+.f64 1 (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) (+.f64 (pow.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) 2) (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) 2) (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2))))
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3) (+.f64 (+.f64 2 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2))) (/.f64 1 (+.f64 (+.f64 2 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2)))) 1)
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)) (+.f64 2 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2)))))
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 3)) (+.f64 1 (*.f64 (+.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) (+.f64 2 (cos.f64 (/.f64 1/2 (/.f64 y x))))))))
(*.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) 1)
(+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(+.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(*.f64 1 (+.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 (sqrt.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)) (sqrt.f64 (+.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 (cbrt.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)) (pow.f64 (cbrt.f64 (+.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 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)) 2) (cbrt.f64 (+.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 (-.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) (-.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (/.f64 x y)))) (-.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (+.f64 1/2 (*.f64 (cos.f64 (/.f64 x y)) -1/2)) (-.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (+.f64 1/2 (*.f64 (cos.f64 (/.f64 x y)) -1/2)) (-.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) (-.f64 (+.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) (-.f64 (+.f64 3/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) (+.f64 3/2 (-.f64 (*.f64 1/2 (cos.f64 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 3)) (+.f64 (*.f64 1/2 (cos.f64 (/.f64 x y))) (-.f64 3/2 (cos.f64 (/.f64 1/2 (/.f64 y x))))))
(/.f64 (*.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (-.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (/.f64 x y)))) (-.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (+.f64 1/2 (*.f64 (cos.f64 (/.f64 x y)) -1/2)) (-.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (+.f64 1/2 (*.f64 (cos.f64 (/.f64 x y)) -1/2)) (-.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))) (-.f64 (+.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) (-.f64 (+.f64 3/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) (+.f64 3/2 (-.f64 (*.f64 1/2 (cos.f64 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 3)) (+.f64 (*.f64 1/2 (cos.f64 (/.f64 x y))) (-.f64 3/2 (cos.f64 (/.f64 1/2 (/.f64 y x))))))
(/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) 1) (-.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (/.f64 x y)))) (-.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (+.f64 1/2 (*.f64 (cos.f64 (/.f64 x y)) -1/2)) (-.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (+.f64 1/2 (*.f64 (cos.f64 (/.f64 x y)) -1/2)) (-.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) 1) (-.f64 (+.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) (-.f64 (+.f64 3/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) (+.f64 3/2 (-.f64 (*.f64 1/2 (cos.f64 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 3)) (+.f64 (*.f64 1/2 (cos.f64 (/.f64 x y))) (-.f64 3/2 (cos.f64 (/.f64 1/2 (/.f64 y x))))))
(pow.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) 1)
(+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(+.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(pow.f64 (sqrt.f64 (+.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))))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)) 3)
(+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(+.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(pow.f64 (E.f64) (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(pow.f64 (E.f64) (log1p.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))
(pow.f64 (pow.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) 3) 1/3)
(+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(+.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 2)) (cbrt.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) 2)) (cbrt.f64 (log1p.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (sqrt.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))) (sqrt.f64 (log1p.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) 2))
(sqrt.f64 (pow.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2))
(fabs.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(fabs.f64 (+.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))
(log.f64 (exp.f64 (+.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))))
(log.f64 (+.f64 1 (expm1.f64 (+.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))))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) 3))
(+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(+.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(expm1.f64 (log.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2)))
(expm1.f64 (log.f64 (+.f64 2 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(expm1.f64 (log.f64 (+.f64 2 (cos.f64 (/.f64 1/2 (/.f64 y x))))))
(log1p.f64 (expm1.f64 (+.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))))

localize46.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)
0.2b
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
0.3b
(cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
25.0b
(cos.f64 (*.f64 1/2 (/.f64 x y)))
Compiler

Compiled 96 to 62 computations (35.4% saved)

series43.0ms (0.3%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
21.0ms
x
@-inf
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
6.0ms
y
@0
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
3.0ms
x
@0
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
2.0ms
y
@inf
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)
2.0ms
x
@inf
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))

rewrite82.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1080×*-commutative
838×associate-*r/
802×associate-/r*
744×unswap-sqr
670×swap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01371
126471
2314771
Stop Event
node limit
Counts
3 → 81
Calls
Call 1
Inputs
(cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.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 (cbrt.f64 (/.f64 1 (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))) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -4)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 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simplify104.0ms (0.7%)

Algorithm
egg-herbie
Rules
1132×unswap-sqr
990×associate-/r*
890×distribute-rgt-in
882×distribute-lft-in
718×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03124294974445
18056367
227456143
Stop Event
node limit
Counts
153 → 180
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 -1/1152 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 1 (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (*.f64 -1/1152 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 1 (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -23/414720 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
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(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -4)))
(*.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
(*.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 (cbrt.f64 (/.f64 1 (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))) -4))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -4)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -4)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -4)))))
(*.f64 (*.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))) -4))) (cbrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -4)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -4)))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -2) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) -2) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -2) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) -2))
(*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) -1) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) -1)) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)))
(*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (*.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))))
(*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (sqrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (sqrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) (sqrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) (sqrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)) (*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)))
(*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)) (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3)) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3)))
(/.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -4))
(log.f64 (exp.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))))
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))
(exp.f64 (*.f64 -2 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))
Outputs
1
(+.f64 1 (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 -1/24 (/.f64 (*.f64 x x) (*.f64 y y))))
(fma.f64 -1/24 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1/1152 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 1 (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(fma.f64 -1/1152 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 1 (*.f64 -1/24 (/.f64 (*.f64 x x) (*.f64 y y)))))
(fma.f64 -1/1152 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/24 (*.f64 (/.f64 x y) (/.f64 x y)) 1))
(+.f64 (*.f64 -1/1152 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 1 (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -23/414720 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(fma.f64 -1/1152 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 1 (fma.f64 -1/24 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -23/414720 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 (fma.f64 -1/24 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 -23/414720 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))) (fma.f64 -1/1152 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (fma.f64 -1/1152 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/24 (*.f64 (/.f64 x y) (/.f64 x y)) 1)) (*.f64 -23/414720 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
1
(+.f64 1 (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 -1/24 (/.f64 (*.f64 x x) (*.f64 y y))))
(fma.f64 -1/24 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 1 (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 x 4)) (*.f64 1/192 (pow.f64 x 4))) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (fma.f64 1/3 (/.f64 (*.f64 (pow.f64 x 4) -1/384) (pow.f64 y 4)) (*.f64 -1/24 (/.f64 (*.f64 x x) (*.f64 y y)))))
(+.f64 1 (fma.f64 -1/24 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 1/3 (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -1/384)))))
(+.f64 (fma.f64 -1/24 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (*.f64 (/.f64 1/3 (pow.f64 y 4)) (*.f64 (pow.f64 x 4) -1/384)))
(+.f64 1 (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 -1/46080 (pow.f64 x 6)) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (*.f64 1/384 (pow.f64 x 4)) (*.f64 1/192 (pow.f64 x 4))) (pow.f64 x 2))) (*.f64 -1/13824 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 x 4)) (*.f64 1/192 (pow.f64 x 4))) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(+.f64 1 (fma.f64 1/3 (/.f64 (-.f64 (*.f64 (pow.f64 x 6) -1/46080) (fma.f64 -1/12 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/384)) (*.f64 (pow.f64 x 6) -1/13824))) (pow.f64 y 6)) (fma.f64 1/3 (/.f64 (*.f64 (pow.f64 x 4) -1/384) (pow.f64 y 4)) (*.f64 -1/24 (/.f64 (*.f64 x x) (*.f64 y y))))))
(+.f64 (*.f64 1/3 (+.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 6) -1/46080) (fma.f64 -1/12 (*.f64 x (*.f64 x (*.f64 (pow.f64 x 4) -1/384))) (*.f64 (pow.f64 x 6) -1/13824))) (pow.f64 y 6)) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -1/384)))) (fma.f64 -1/24 (*.f64 (/.f64 x y) (/.f64 x y)) 1))
(+.f64 (fma.f64 -1/24 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (*.f64 1/3 (+.f64 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1/384) (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 7/138240) (*.f64 -1/12 (*.f64 (pow.f64 x 6) 1/384))) (pow.f64 y 6)))))
1
(+.f64 1 (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 -1/24 (/.f64 (*.f64 x x) (*.f64 y y))))
(fma.f64 -1/24 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 1 (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 x 4)) (*.f64 1/192 (pow.f64 x 4))) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (fma.f64 1/3 (/.f64 (*.f64 (pow.f64 x 4) -1/384) (pow.f64 y 4)) (*.f64 -1/24 (/.f64 (*.f64 x x) (*.f64 y y)))))
(+.f64 1 (fma.f64 -1/24 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 1/3 (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -1/384)))))
(+.f64 (fma.f64 -1/24 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (*.f64 (/.f64 1/3 (pow.f64 y 4)) (*.f64 (pow.f64 x 4) -1/384)))
(+.f64 1 (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 -1/46080 (pow.f64 x 6)) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (*.f64 1/384 (pow.f64 x 4)) (*.f64 1/192 (pow.f64 x 4))) (pow.f64 x 2))) (*.f64 -1/13824 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 x 4)) (*.f64 1/192 (pow.f64 x 4))) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(+.f64 1 (fma.f64 1/3 (/.f64 (-.f64 (*.f64 (pow.f64 x 6) -1/46080) (fma.f64 -1/12 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/384)) (*.f64 (pow.f64 x 6) -1/13824))) (pow.f64 y 6)) (fma.f64 1/3 (/.f64 (*.f64 (pow.f64 x 4) -1/384) (pow.f64 y 4)) (*.f64 -1/24 (/.f64 (*.f64 x x) (*.f64 y y))))))
(+.f64 (*.f64 1/3 (+.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 6) -1/46080) (fma.f64 -1/12 (*.f64 x (*.f64 x (*.f64 (pow.f64 x 4) -1/384))) (*.f64 (pow.f64 x 6) -1/13824))) (pow.f64 y 6)) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -1/384)))) (fma.f64 -1/24 (*.f64 (/.f64 x y) (/.f64 x y)) 1))
(+.f64 (fma.f64 -1/24 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (*.f64 1/3 (+.f64 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1/384) (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 7/138240) (*.f64 -1/12 (*.f64 (pow.f64 x 6) 1/384))) (pow.f64 y 6)))))
1
(+.f64 1 (*.f64 1/12 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/12))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/12 1)
(+.f64 1 (+.f64 (*.f64 1/144 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/12 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (fma.f64 1/144 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/12)))
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/12 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/144)))
(+.f64 1 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/144 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/12)))
(+.f64 1 (+.f64 (*.f64 1/144 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 1/1620 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(+.f64 1 (fma.f64 1/144 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/12 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1/1620))))
(+.f64 1 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/144 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/12 (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1/1620))))
(+.f64 1 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/144 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/12 (*.f64 (/.f64 1/1620 (pow.f64 y 6)) (pow.f64 x 6)))))
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2)))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)) -2))
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2)))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)) -2))
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2)))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)) -2))
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2)))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)) -2))
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2)))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)) -2))
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2)) 1/3)
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(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (sqrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -2))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -2) (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) -2) (/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)) (*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (sqrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -2))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -2) (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) -2) (/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))))
(*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)) (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (sqrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -2))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -2) (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) -2) (/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3)) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (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 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 2) (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) 2) (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)) -2)) 2))
(/.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)
(pow.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)) -2)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -4))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)) -4))
(log.f64 (exp.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))
(/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)
(pow.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)) -2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))))
(/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)
(pow.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)) -2)
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2) 3))
(/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)
(pow.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)) -2)
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))
(/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)
(pow.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)) -2)
(exp.f64 (*.f64 -2 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)
(pow.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)) -2)
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))
(/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)
(pow.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)) -2)

localize57.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
10.2b
(/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
10.4b
(cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))
24.7b
(sin.f64 (*.f64 x (/.f64 1/2 y)))
25.0b
(cos.f64 (*.f64 x (/.f64 1/2 y)))
Compiler

Compiled 122 to 89 computations (27% saved)

series11.0ms (0.1%)

Counts
2 → 24
Calls

12 calls:

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

rewrite69.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1374×associate-*r/
1150×associate-/r*
1084×associate-*l/
774×associate-/l*
270×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01370
127270
2331970
Stop Event
node limit
Counts
2 → 58
Calls
Call 1
Inputs
(cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 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egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 4))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (*.f64 x (/.f64 1/2 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2))))))))

simplify72.0ms (0.5%)

Algorithm
egg-herbie
Rules
1282×associate-*r/
1032×associate-/l/
942×associate-*l/
752×associate-/r/
722×associate-+r-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01362058
13022012
212021982
371701982
Stop Event
node limit
Counts
82 → 69
Calls
Call 1
Inputs
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1)
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(*.f64 1 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/3) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/3))
(pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/3)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1/2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(fabs.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(log.f64 (exp.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(exp.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2)))) 1)
(*.f64 (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 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (*.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 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2)) 1)
(*.f64 1 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2)))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2))) 2) (cbrt.f64 (*.f64 (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 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(*.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 -1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2)) (*.f64 (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 1 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 4))) (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (/.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)))) 4))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 4))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)))
(pow.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2))) 3)
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)) 1/3)
(pow.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (*.f64 x (/.f64 1/2 y)))) -1)
(neg.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))))
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 4)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2)))))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2))))
Outputs
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 4))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
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(*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/3) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))))
(pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1/2)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6) 2)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(fabs.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(log.f64 (exp.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/3))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2)))) 1)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (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 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2)))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2)) 1)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2)))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2)))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2))) 2))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2))) 2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2))))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 -1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(cbrt.f64 (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 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2)))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 4))) (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 4)))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.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)))) 4))) (cbrt.f64 (*.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 (*.f64 (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 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 4))))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 4)))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) 7) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 4)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 4))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 4))) (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)))
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 4)))
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) 2)))
(pow.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2)) 1)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2))) 3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)) 1/3)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (*.f64 x (/.f64 1/2 y)))) -1)
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(neg.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 4)))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2)))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2)))))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2))))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2))))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2))) 1))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2))))
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))

eval1.2s (8.6%)

Compiler

Compiled 40595 to 29818 computations (26.5% saved)

prune634.0ms (4.6%)

Pruning

91 alts after pruning (86 fresh and 5 done)

PrunedKeptTotal
New1245581303
Fresh552883
Picked101
Done257
Total1303911394
Error
20.8b
Counts
1394 → 91
Alt Table
Click to see full alt table
StatusErrorProgram
35.1b
(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1)
25.1b
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))) 3)
35.1b
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)
35.8b
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (*.f64 y 2))))
36.0b
(/.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (/.f64 (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))) (sin.f64 (/.f64 x (*.f64 y 2))))
35.5b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (fabs.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
35.4b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
35.7b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1) (sin.f64 (/.f64 x (*.f64 y 2))))
37.3b
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2))))
35.8b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
37.1b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (/.f64 (*.f64 1/2 x) y))
54.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3) 2)))
61.6b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sqrt.f64 (pow.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)))
35.3b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
35.4b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
60.9b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
48.5b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (fabs.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
51.3b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
35.4b
(/.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))))
48.0b
(/.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
26.7b
(/.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/8 1))
24.9b
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3))
25.1b
(/.f64 1 (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) 2) -1) (*.f64 (cbrt.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2)) (cbrt.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2)))) (cbrt.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2))))
26.4b
(/.f64 1 (-.f64 (pow.f64 (sqrt.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)) 2) 1))
27.2b
(/.f64 1 (-.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)) 3) 1))
61.2b
(/.f64 1 (-.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) (-.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1))
25.1b
(/.f64 1 (-.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 3)) (+.f64 (*.f64 1/2 (cos.f64 (/.f64 x y))) (-.f64 3/2 (cos.f64 (/.f64 1/2 (/.f64 y x)))))) 1))
61.3b
(/.f64 1 (-.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 (/.f64 x y)) -1/2)) (-.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))) 1))
25.1b
(/.f64 1 (-.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) 1))
24.4b
(/.f64 1 (-.f64 (exp.f64 (fma.f64 -1/16 (*.f64 (/.f64 x y) (/.f64 x y)) (log.f64 2))) 1))
27.5b
(/.f64 1 (-.f64 (exp.f64 (+.f64 (log.f64 2) (*.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y))))) 1))
25.1b
(/.f64 1 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3))) 1))
25.2b
(/.f64 1 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))) 1))
25.1b
(/.f64 1 (+.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2) -2))
25.1b
(/.f64 1 (*.f64 (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 3))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) (+.f64 2 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))
24.9b
(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 2)))))
25.2b
(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (fabs.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))))
25.6b
(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) 1))
25.5b
(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 1 -2))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
25.1b
(/.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))))
25.2b
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
24.9b
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
25.1b
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
25.3b
(/.f64 1 (fabs.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
31.9b
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 x y) 2) 3) 1/3)))
39.3b
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (/.f64 (/.f64 x y) 2)) 2)))
25.2b
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) 2)) 3)))
25.3b
(/.f64 1 (cos.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 y 2) (cbrt.f64 x)))))
25.2b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))))
42.8b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))))
25.3b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 x 2) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))))
25.7b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))
46.2b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))))
25.1b
(/.f64 1 (cos.f64 (/.f64 (/.f64 x (*.f64 (cbrt.f64 (*.f64 y 2)) (cbrt.f64 (*.f64 y 2)))) (cbrt.f64 (*.f64 y 2)))))
27.5b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (*.f64 x (cbrt.f64 (/.f64 (/.f64 1/4 y) y))) 1) (cbrt.f64 (*.f64 y 2)))))
26.0b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) 2) 2)) (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 y))))
25.3b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 x 1/2))) (/.f64 y (cbrt.f64 (*.f64 x 1/2))))))
25.2b
(/.f64 1 (cos.f64 (/.f64 (*.f64 x (/.f64 1/2 (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2))))
27.7b
(/.f64 1 (cos.f64 (/.f64 (*.f64 x (cbrt.f64 (/.f64 1/4 (*.f64 y y)))) (cbrt.f64 (*.f64 y 2)))))
42.9b
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) (*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 y)) 3) (sqrt.f64 y)))))
44.6b
(/.f64 1 (cos.f64 (/.f64 (sqrt.f64 x) (/.f64 (*.f64 y 2) (sqrt.f64 x)))))
25.4b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 x) (/.f64 (*.f64 y 2) (pow.f64 (cbrt.f64 x) 2)))))
25.1b
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
27.6b
(/.f64 1 (cos.f64 (*.f64 (/.f64 (*.f64 x (cbrt.f64 (/.f64 1/4 (*.f64 y y)))) (cbrt.f64 y)) (cbrt.f64 1/2))))
24.9b
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (cbrt.f64 (cbrt.f64 y))) (/.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))))
24.9b
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
25.1b
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
26.3b
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (/.f64 (/.f64 x y) 2)))))
26.1b
(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) 2) 3))))
27.2b
(+.f64 1 (*.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y))))
26.3b
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))) 3/2) (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))) 3/2))
35.1b
(*.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))))))
35.7b
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2))) 3) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cos.f64 (*.f64 x (/.f64 1/2 y))))))
35.8b
(*.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 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))))
36.3b
(*.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 1/2 (/.f64 x y))))))
48.6b
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (*.f64 (cbrt.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
36.2b
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (fabs.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y))))))
60.0b
(*.f64 (/.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cos.f64 (*.f64 x (/.f64 1/2 y))))))
36.0b
(*.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3) 2)) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cos.f64 (*.f64 x (/.f64 1/2 y))))))
36.0b
(*.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cos.f64 (*.f64 x (/.f64 1/2 y))))))
40.1b
(*.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 4)))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cos.f64 (*.f64 x (/.f64 1/2 y))))))
36.2b
(*.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)))
35.7b
(*.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cos.f64 (*.f64 x (/.f64 1/2 y))))))
35.7b
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cos.f64 (*.f64 x (/.f64 1/2 y))))))
35.7b
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
35.4b
(*.f64 2 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (+.f64 0 (sin.f64 (/.f64 x y)))))
25.1b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2)))))
26.3b
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2)))))
25.1b
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) 3)))
24.6b
1
Compiler

Compiled 3673 to 2884 computations (21.5% saved)

localize28.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (fma.f64 -1/16 (*.f64 (/.f64 x y) (/.f64 x y)) (log.f64 2)))
0.0b
(-.f64 (exp.f64 (fma.f64 -1/16 (*.f64 (/.f64 x y) (/.f64 x y)) (log.f64 2))) 1)
0.2b
(*.f64 (/.f64 x y) (/.f64 x y))
Compiler

Compiled 72 to 34 computations (52.8% saved)

series2.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 (exp.f64 (fma.f64 -1/16 (*.f64 (/.f64 x y) (/.f64 x y)) (log.f64 2))) 1)
0.0ms
y
@inf
(-.f64 (exp.f64 (fma.f64 -1/16 (*.f64 (/.f64 x y) (/.f64 x y)) (log.f64 2))) 1)
0.0ms
x
@inf
(-.f64 (exp.f64 (fma.f64 -1/16 (*.f64 (/.f64 x y) (/.f64 x y)) (log.f64 2))) 1)
0.0ms
y
@-inf
(-.f64 (exp.f64 (fma.f64 -1/16 (*.f64 (/.f64 x y) (/.f64 x y)) (log.f64 2))) 1)
0.0ms
y
@0
(-.f64 (exp.f64 (fma.f64 -1/16 (*.f64 (/.f64 x y) (/.f64 x y)) (log.f64 2))) 1)

rewrite84.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1800×associate-*r/
1384×associate-*l/
1048×associate-/r*
912×associate-/l*
302×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01558
130758
2370658
Stop Event
node limit
Counts
2 → 94
Calls
Call 1
Inputs
(-.f64 (exp.f64 (fma.f64 -1/16 (*.f64 (/.f64 x y) (/.f64 x y)) (log.f64 2))) 1)
(exp.f64 (fma.f64 -1/16 (*.f64 (/.f64 x y) (/.f64 x y)) (log.f64 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log1p.f64 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log1p.f64 1)))) (sqrt.f64 (expm1.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log1p.f64 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log1p.f64 1)))) (pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log1p.f64 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) 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simplify105.0ms (0.8%)

Algorithm
egg-herbie
Rules
1560×associate-/l*
1148×unswap-sqr
958×associate-/r*
916×distribute-lft-in
834×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02508882
15798428
223657972
Stop Event
node limit
Counts
142 → 178
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 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (*.f64 -1/12288 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(-.f64 (exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2))) 1)
(-.f64 (exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2))) 1)
(-.f64 (exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2))) 1)
(-.f64 (exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2))) 1)
(-.f64 (exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2))) 1)
(-.f64 (exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2))) 1)
(-.f64 (exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2))) 1)
(-.f64 (exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2))) 1)
(-.f64 (exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2))) 1)
(-.f64 (exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2))) 1)
(-.f64 (exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2))) 1)
(-.f64 (exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2))) 1)
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (*.f64 -1/12288 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/256 (/.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 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (*.f64 -1/12288 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
2
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 2)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 2 (*.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (*.f64 -1/12288 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 2 (*.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2)))
2
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 2)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 2 (*.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (*.f64 -1/12288 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 2 (*.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
2
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 2)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 2 (*.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (*.f64 -1/12288 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 2 (*.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2) -1)
(+.f64 -1 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2))
(*.f64 1 (expm1.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log1p.f64 1))))
(*.f64 (expm1.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log1p.f64 1))) 1)
(*.f64 (sqrt.f64 (expm1.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log1p.f64 1)))) (sqrt.f64 (expm1.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log1p.f64 1)))))
(*.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log1p.f64 1)))) (pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log1p.f64 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log1p.f64 1)))) 2) (cbrt.f64 (expm1.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log1p.f64 1)))))
(*.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2) 2) -1) (/.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2) 1)))
(*.f64 (+.f64 -1 (pow.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2) 3)) (/.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2) (+.f64 1 (pow.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2) 2)))))
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(-.f64 (+.f64 1 (/.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2) 3) (+.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2) (+.f64 1 (pow.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2) 2))))) (/.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2) (+.f64 1 (pow.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2) 2)))))
(*.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2) 1)
(*.f64 1 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2)) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2)) 1))
(*.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2)) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2)) 2) (cbrt.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2)) 2) (*.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2)) 1))
(*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2)
(pow.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2) 1)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2)) 2)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2)) 3)
(pow.f64 (E.f64) (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log1p.f64 1)))
(pow.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log1p.f64 1)))) (sqrt.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log1p.f64 1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log1p.f64 1))) 2)) (cbrt.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log1p.f64 1))))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2) 2))
(log.f64 (exp.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2) 3))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2)))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 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 (pow.f64 (/.f64 x y) 2) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) (fma.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (*.f64 -1/12288 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(fma.f64 -1/12288 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(fma.f64 -1/12288 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) (fma.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)))
(-.f64 (exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2))) 1)
(expm1.f64 (fma.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y)) (log.f64 2)))
(expm1.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log.f64 2)))
(-.f64 (exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2))) 1)
(expm1.f64 (fma.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y)) (log.f64 2)))
(expm1.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log.f64 2)))
(-.f64 (exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2))) 1)
(expm1.f64 (fma.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y)) (log.f64 2)))
(expm1.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log.f64 2)))
(-.f64 (exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2))) 1)
(expm1.f64 (fma.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y)) (log.f64 2)))
(expm1.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log.f64 2)))
(-.f64 (exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2))) 1)
(expm1.f64 (fma.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y)) (log.f64 2)))
(expm1.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log.f64 2)))
(-.f64 (exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2))) 1)
(expm1.f64 (fma.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y)) (log.f64 2)))
(expm1.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log.f64 2)))
(-.f64 (exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2))) 1)
(expm1.f64 (fma.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y)) (log.f64 2)))
(expm1.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log.f64 2)))
(-.f64 (exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2))) 1)
(expm1.f64 (fma.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y)) (log.f64 2)))
(expm1.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log.f64 2)))
(-.f64 (exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2))) 1)
(expm1.f64 (fma.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y)) (log.f64 2)))
(expm1.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log.f64 2)))
(-.f64 (exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2))) 1)
(expm1.f64 (fma.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y)) (log.f64 2)))
(expm1.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log.f64 2)))
(-.f64 (exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2))) 1)
(expm1.f64 (fma.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y)) (log.f64 2)))
(expm1.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log.f64 2)))
(-.f64 (exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2))) 1)
(expm1.f64 (fma.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y)) (log.f64 2)))
(expm1.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log.f64 2)))
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 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) (fma.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (*.f64 -1/12288 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(fma.f64 -1/12288 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(fma.f64 -1/12288 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) (fma.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 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 (pow.f64 (/.f64 x y) 2) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) (fma.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (*.f64 -1/12288 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(fma.f64 -1/12288 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(fma.f64 -1/12288 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) (fma.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)))
2
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 2)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 2)
(fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) 2)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 2 (*.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 2) (*.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) (fma.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 2))
(+.f64 (*.f64 -1/12288 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 2 (*.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(fma.f64 -1/12288 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 2) (*.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(fma.f64 -1/12288 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) (fma.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (/.f64 (*.f64 x x) (*.f64 y y)) (log.f64 2)))
(exp.f64 (fma.f64 -1/16 (pow.f64 (/.f64 x y) 2) (log.f64 2)))
2
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 2)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 2)
(fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) 2)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 2 (*.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 2) (*.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) (fma.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 2))
(+.f64 (*.f64 -1/12288 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 2 (*.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(fma.f64 -1/12288 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 2) (*.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(fma.f64 -1/12288 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) (fma.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 2)))
2
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 2)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 2)
(fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) 2)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 2 (*.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 2) (*.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) (fma.f64 1/256 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 2))
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(log.f64 (exp.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2)))
(*.f64 2 (pow.f64 (exp.f64 -1/16) (pow.f64 (/.f64 x y) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2))))
(*.f64 2 (pow.f64 (exp.f64 -1/16) (pow.f64 (/.f64 x y) 2)))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2) 3))
(*.f64 2 (pow.f64 (exp.f64 -1/16) (pow.f64 (/.f64 x y) 2)))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2)))
(*.f64 2 (pow.f64 (exp.f64 -1/16) (pow.f64 (/.f64 x y) 2)))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2)))
(*.f64 2 (pow.f64 (exp.f64 -1/16) (pow.f64 (/.f64 x y) 2)))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
0.5b
(/.f64 1/2 (/.f64 y x))
24.9b
(cos.f64 (/.f64 1/2 (/.f64 y x)))
Compiler

Compiled 28 to 15 computations (46.4% saved)

series2.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite73.0ms (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
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simplify84.0ms (0.6%)

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)))))
(+.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))))))
(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 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
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1
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1
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(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)
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(/.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)
(/.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.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 x y)))) (/.f64 -1 (neg.f64 (sqrt.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 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (/.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (/.f64 -1 (neg.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 -1 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(/.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)
(/.f64 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (/.f64 -1 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (/.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) (/.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) (cbrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))) (/.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))))
(/.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (/.f64 -1 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) (/.f64 -1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))
(/.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) -1)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))
(/.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))
(/.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)))
(/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) 1) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3) 1/3)
(neg.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))
(log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(exp.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(*.f64 (*.f64 1/2 (/.f64 x y)) 1)
(*.f64 1 (*.f64 1/2 (/.f64 x y)))
(*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) (sqrt.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1/2 y)))
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1/2 y)))
(*.f64 (/.f64 1/2 y) x)
(*.f64 (/.f64 1/2 y) (/.f64 x 1))
(*.f64 (/.f64 x y) 1/2)
(*.f64 (neg.f64 x) (/.f64 -1/2 y))
(*.f64 -1/2 (neg.f64 (/.f64 x y)))
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 1/2 y)) (sqrt.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1/2 y)) (cbrt.f64 x))
(*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 1 y) (*.f64 1/2 x))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 1/2 (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 y x) 2))) (*.f64 1/2 (cbrt.f64 (/.f64 x y))))
(*.f64 (/.f64 -1/2 y) (neg.f64 x))
(*.f64 (/.f64 -1 y) (*.f64 1/2 (neg.f64 x)))
(*.f64 (neg.f64 (/.f64 x y)) -1/2)
(*.f64 (/.f64 (*.f64 1/2 (sqrt.f64 (/.f64 x y))) 1) (sqrt.f64 (/.f64 x y)))
(*.f64 (/.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 y x) 2))) 1) (cbrt.f64 (/.f64 x y)))
(*.f64 (/.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 y x) 2))) (cbrt.f64 y)) (cbrt.f64 x))
(*.f64 (/.f64 1/2 (/.f64 y (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 1/2 (/.f64 y 1)) x)
(*.f64 (/.f64 1/2 (/.f64 y (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (/.f64 1/2 y) -1) (neg.f64 x))
(*.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (*.f64 1/2 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 x)))
(*.f64 (/.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 y x) 2))) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 x)))
(pow.f64 (*.f64 1/2 (/.f64 x y)) 1)
(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3)
(pow.f64 (/.f64 (*.f64 y 2) x) -1)
(sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 y x) 2)))
(log.f64 (pow.f64 (exp.f64 1/2) (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)
(*.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(*.f64 -1 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))
(*.f64 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) -1) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) -1))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1)
(pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))
(log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
Outputs
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
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(*.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))))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) 3))
0.2b
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) 3)))
0.3b
(pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) 3)
25.0b
(cos.f64 (/.f64 (/.f64 x y) 2))
Compiler

Compiled 50 to 31 computations (38% saved)

series7.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(/.f64 1 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) 3))
1.0ms
y
@inf
(pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) 3)
0.0ms
x
@0
(pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) 3)
0.0ms
x
@0
(/.f64 1 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) 3))
0.0ms
x
@inf
(/.f64 1 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) 3))

rewrite122.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1770×associate-*l/
1356×associate-/r*
1114×associate-/l*
286×add-sqr-sqrt
268×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01486
130186
2358486
Stop Event
node limit
Counts
4 → 195
Calls
Call 1
Inputs
(cos.f64 (/.f64 (/.f64 x y) 2))
(pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) 3)
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) 3)))
(/.f64 1 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) 3))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1/2) (*.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 x (/.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3/2) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 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simplify157.0ms (1.1%)

Algorithm
egg-herbie
Rules
1150×times-frac
1020×+-commutative
958×associate-*r*
844×associate-/l*
664×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053711821
1135010949
2737910941
Stop Event
node limit
Counts
291 → 322
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)
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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
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
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1
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(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)
1
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(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 1/64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/32 (/.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 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/192 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))))))
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1
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1
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(/.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 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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(/.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3) (/.f64 1 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) 3) (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (pow.f64 1 3/2) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3))
(/.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3/2) (/.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3/2) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3/2)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) 3/2) (/.f64 (pow.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 (+.f64 (cos.f64 (*.f64 2 (*.f64 x (/.f64 1/2 y)))) (cos.f64 (-.f64 (*.f64 x (/.f64 1/2 y)) (*.f64 x (/.f64 1/2 y))))) (*.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3/2) 1) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3/2))
(/.f64 (*.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)) 1) -1)
(/.f64 (*.f64 (+.f64 (cos.f64 (*.f64 2 (*.f64 x (/.f64 1/2 y)))) (cos.f64 (-.f64 (*.f64 x (/.f64 1/2 y)) (*.f64 x (/.f64 1/2 y))))) (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)
(/.f64 (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3/2))
(/.f64 (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3/2)) (/.f64 1 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -6)))) (/.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -6))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -6))))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -6))))
(/.f64 (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -6))) (cos.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3/2)) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3/2))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -6))) (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (/.f64 1 (/.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3/2) (cos.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 1 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 1 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -6))) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 2))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -3)) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -3))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) -3)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -3))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 2) -1)) (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3/2) -1)) (pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3/2) -1))
(/.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3/2) 1) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3/2))
(/.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3/2) (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 1 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3/2) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3/2))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3/2)))
(/.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 2) 1) (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 2) (/.f64 1 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (/.f64 1 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 2) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -6))))
(/.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -6)))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 2) (pow.f64 1 1/3)) (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 2) (pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3/2) 1/3)) (pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3/2) 1/3))
(/.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 2) (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -6)) 1/3)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 6))
(log.f64 (exp.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(exp.f64 (*.f64 3 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(-.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 (/.f64 1 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 1 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -6))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -6))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3/2) 1/3) (pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3/2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -6)) 1/3) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 1 (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1))
(/.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(/.f64 (/.f64 1 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))
(/.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (/.f64 1 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))
(/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -6))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 -1 (cbrt.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3))))
(/.f64 -1 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (/.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (/.f64 1 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))
(/.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -6)))) (/.f64 (sqrt.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 (/.f64 1 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1) (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -6))) 1) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (/.f64 (/.f64 1 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1) (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (/.f64 (/.f64 1 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 (/.f64 1 (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))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 (/.f64 1 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -6))) 1) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -6))) (sqrt.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 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -6))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -6))) (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 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -6))) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1)
(pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3) -1/3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3) 1/3)
(pow.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)
(pow.f64 (/.f64 1 (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)
(sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -6)))
(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)))))))
(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))))))
(exp.f64 (*.f64 (*.f64 -3 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1/3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3))) 1)
(*.f64 1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3))
(*.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3) 1)
(*.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -6)))
(*.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 2) -1))
(*.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3/2) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3/2))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -6)) (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 -1 (/.f64 -1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)))
(*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3/2) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -6))) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 -1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)) -1)
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -3) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) -3) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -3))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 2) -1) (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3/2) -1) (pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3/2) -1))
(*.f64 (/.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (+.f64 (cos.f64 (*.f64 2 (*.f64 x (/.f64 1/2 y)))) (cos.f64 (-.f64 (*.f64 x (/.f64 1/2 y)) (*.f64 x (/.f64 1/2 y)))))) 2)
(pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3) -1)
(pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3) 1)
(pow.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3/2) 2)
(pow.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -6))
(log.f64 (exp.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3))))
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3)))
(exp.f64 (*.f64 -3 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) -1))
(exp.f64 (*.f64 (*.f64 -3 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3)))
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)
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(/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3))))
(/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -3)
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3) 3))
(/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -3)
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3)))
(/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -3)
(exp.f64 (*.f64 -3 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -3)
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -3))
(/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) -1))
(/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -3)
(exp.f64 (*.f64 (*.f64 -3 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1))
(/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -3)
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3)))
(/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -3)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (*.f64 y 2) (cbrt.f64 x))
0.4b
(pow.f64 (cbrt.f64 x) 2)
0.6b
(cbrt.f64 x)
24.8b
(cos.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 y 2) (cbrt.f64 x))))
Compiler

Compiled 58 to 34 computations (41.4% saved)

series9.0ms (0.1%)

Counts
4 → 36
Calls

18 calls:

TimeVariablePointExpression
2.0ms
y
@0
(/.f64 (*.f64 y 2) (cbrt.f64 x))
1.0ms
x
@-inf
(pow.f64 (cbrt.f64 x) 2)
1.0ms
y
@inf
(/.f64 (*.f64 y 2) (cbrt.f64 x))
1.0ms
x
@-inf
(/.f64 (*.f64 y 2) (cbrt.f64 x))
0.0ms
x
@-inf
(cbrt.f64 x)

rewrite107.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1874×associate-*l/
748×associate-/r/
418×associate-/l/
386×distribute-lft-neg-in
344×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01270
125250
2340350
Stop Event
node limit
Counts
4 → 151
Calls
Call 1
Inputs
(cos.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 y 2) (cbrt.f64 x))))
(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) 2)
(/.f64 (*.f64 y 2) (cbrt.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (/.f64 x (*.f64 2 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (/.f64 x (*.f64 2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (/.f64 x (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (/.f64 x (*.f64 2 y)))) (sqrt.f64 (cos.f64 (/.f64 x (*.f64 2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 2 y)))) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 2 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 2 y)))) 2) (cbrt.f64 (cos.f64 (/.f64 x (*.f64 2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (/.f64 x (*.f64 2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (/.f64 x (*.f64 2 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 2 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 2 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (/.f64 x (*.f64 2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (/.f64 x (*.f64 2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 2 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (/.f64 x (*.f64 2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 2 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (/.f64 x (*.f64 2 y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (neg.f64 (neg.f64 (pow.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 (cbrt.f64 x))) (neg.f64 (sqrt.f64 (neg.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (neg.f64 (cbrt.f64 x))) (cbrt.f64 (neg.f64 (cbrt.f64 x)))) (neg.f64 (cbrt.f64 (neg.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x 1/6)) (neg.f64 (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (neg.f64 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (neg.f64 (cbrt.f64 x)))) (sqrt.f64 (neg.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (cbrt.f64 x))) (cbrt.f64 (neg.f64 (cbrt.f64 x))))) (cbrt.f64 (neg.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (pow.f64 x 1/6))) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (neg.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)))) (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2))))) (cbrt.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x) 2/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 y (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 y (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 2 (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (/.f64 1 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 y) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 y) (neg.f64 (/.f64 -1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 2 y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 y)) (*.f64 (sqrt.f64 (*.f64 2 y)) (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))) (sqrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 y)) 2) (*.f64 (cbrt.f64 (*.f64 2 y)) (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))) 2) (cbrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 x)) (*.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -2) (/.f64 -1 (cbrt.f64 x)))))) 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exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))))))))

simplify104.0ms (0.7%)

Algorithm
egg-herbie
Rules
1464×distribute-rgt-in
1444×distribute-lft-in
1080×associate-/r/
550×times-frac
544×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03503511
18063455
239943455
Stop Event
node limit
Counts
187 → 182
Calls
Call 1
Inputs
1
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1
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1
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(*.f64 (sqrt.f64 (*.f64 2 y)) (*.f64 (sqrt.f64 (*.f64 2 y)) (/.f64 1 (cbrt.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))) (sqrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 y)) 2) (*.f64 (cbrt.f64 (*.f64 2 y)) (/.f64 1 (cbrt.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))) 2) (cbrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))))))
(*.f64 (/.f64 1 (cbrt.f64 x)) (*.f64 2 y))
(*.f64 (*.f64 y -2) (/.f64 -1 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 y -2) (cbrt.f64 x))) (neg.f64 (sqrt.f64 (/.f64 (*.f64 y -2) (cbrt.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 y -2) (cbrt.f64 x))) (cbrt.f64 (/.f64 (*.f64 y -2) (cbrt.f64 x)))) (neg.f64 (cbrt.f64 (/.f64 (*.f64 y -2) (cbrt.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 x 1/6)) (/.f64 (*.f64 2 y) (pow.f64 x 1/6)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (*.f64 2 y) (cbrt.f64 (cbrt.f64 x))))
(*.f64 (/.f64 2 (cbrt.f64 x)) y)
(*.f64 (/.f64 2 (pow.f64 x 1/6)) (/.f64 y (pow.f64 x 1/6)))
(*.f64 (/.f64 y (cbrt.f64 x)) 2)
(*.f64 -1 (/.f64 (*.f64 y -2) (cbrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x)))) (neg.f64 (sqrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))) 2)) (neg.f64 (cbrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x)))))
(*.f64 (/.f64 -1 (cbrt.f64 x)) (*.f64 y -2))
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) 2) y)
(*.f64 (/.f64 y (pow.f64 x 1/6)) (/.f64 2 (pow.f64 x 1/6)))
(*.f64 (/.f64 2 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (/.f64 y (cbrt.f64 (cbrt.f64 x))))
(*.f64 (/.f64 y 1) (/.f64 2 (cbrt.f64 x)))
(*.f64 (/.f64 y (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (/.f64 2 (cbrt.f64 (cbrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 y)) 1) (/.f64 (sqrt.f64 (*.f64 2 y)) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 y)) (cbrt.f64 x)) (sqrt.f64 (*.f64 2 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 y)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sqrt.f64 (*.f64 2 y)) (cbrt.f64 (cbrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 2 y)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 y)) 2) (pow.f64 x 1/6)) (/.f64 (cbrt.f64 (*.f64 2 y)) (pow.f64 x 1/6)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 y)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))))
(*.f64 (/.f64 y (neg.f64 (cbrt.f64 x))) -2)
(*.f64 (/.f64 1 (/.f64 (cbrt.f64 x) y)) 2)
(*.f64 (/.f64 1 (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 2 y)))) (sqrt.f64 (*.f64 2 y)))
(*.f64 (/.f64 1 (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 2 y)) 2))) (cbrt.f64 (*.f64 2 y)))
(*.f64 (/.f64 1 (/.f64 1 (*.f64 2 y))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))) 2))) (cbrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 y) (*.f64 (cbrt.f64 x) 1/2)) (sqrt.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 x) 1/2)) (cbrt.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 y)) 2) (cbrt.f64 x)) (cbrt.f64 (*.f64 2 y)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 y -2) (cbrt.f64 x)))) (sqrt.f64 (/.f64 (*.f64 y -2) (cbrt.f64 x))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 y -2) (cbrt.f64 x))) (cbrt.f64 (/.f64 (*.f64 y -2) (cbrt.f64 x))))) (cbrt.f64 (/.f64 (*.f64 y -2) (cbrt.f64 x))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))))) (sqrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))) 2))) (cbrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))))
(pow.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (cbrt.f64 x) (*.f64 2 y)) -1)
(neg.f64 (/.f64 (*.f64 y -2) (cbrt.f64 x)))
(neg.f64 (/.f64 (/.f64 (*.f64 y -2) (cbrt.f64 x)) 1))
(neg.f64 (/.f64 y (*.f64 (cbrt.f64 x) -1/2)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 y) 3) x))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))))
(exp.f64 (log.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))))
Outputs
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (*.f64 -1/46080 (pow.f64 x 6)) (pow.f64 y 6))))
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 x y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 x y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 x y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 x y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 x y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 x y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 x y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 x y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 x y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 x y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 x y))))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.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)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (*.f64 -1/46080 (pow.f64 x 6)) (pow.f64 y 6))))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (*.f64 -1/46080 (pow.f64 x 6)) (pow.f64 y 6))))
(*.f64 2 (*.f64 (pow.f64 (/.f64 1 x) 1/3) y))
(*.f64 2 (*.f64 y (cbrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 2 (cbrt.f64 (/.f64 1 x))))
(*.f64 2 (*.f64 (pow.f64 (/.f64 1 x) 1/3) y))
(*.f64 2 (*.f64 y (cbrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 2 (cbrt.f64 (/.f64 1 x))))
(*.f64 2 (*.f64 (pow.f64 (/.f64 1 x) 1/3) y))
(*.f64 2 (*.f64 y (cbrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 2 (cbrt.f64 (/.f64 1 x))))
(*.f64 2 (*.f64 (pow.f64 (/.f64 1 x) 1/3) y))
(*.f64 2 (*.f64 y (cbrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 2 (cbrt.f64 (/.f64 1 x))))
(*.f64 2 (*.f64 (pow.f64 (/.f64 1 x) 1/3) y))
(*.f64 2 (*.f64 y (cbrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 2 (cbrt.f64 (/.f64 1 x))))
(*.f64 2 (*.f64 (pow.f64 (/.f64 1 x) 1/3) y))
(*.f64 2 (*.f64 y (cbrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 2 (cbrt.f64 (/.f64 1 x))))
(*.f64 2 (*.f64 (pow.f64 (/.f64 1 x) 1/3) y))
(*.f64 2 (*.f64 y (cbrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 2 (cbrt.f64 (/.f64 1 x))))
(*.f64 2 (*.f64 (pow.f64 (/.f64 1 x) 1/3) y))
(*.f64 2 (*.f64 y (cbrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 2 (cbrt.f64 (/.f64 1 x))))
(*.f64 2 (*.f64 (pow.f64 (/.f64 1 x) 1/3) y))
(*.f64 2 (*.f64 y (cbrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 2 (cbrt.f64 (/.f64 1 x))))
(*.f64 2 (*.f64 (pow.f64 (/.f64 1 x) 1/3) y))
(*.f64 2 (*.f64 y (cbrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 2 (cbrt.f64 (/.f64 1 x))))
(*.f64 2 (*.f64 (pow.f64 (/.f64 1 x) 1/3) y))
(*.f64 2 (*.f64 y (cbrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 2 (cbrt.f64 (/.f64 1 x))))
(*.f64 2 (*.f64 (pow.f64 (/.f64 1 x) 1/3) y))
(*.f64 2 (*.f64 y (cbrt.f64 (/.f64 1 x))))
(*.f64 y (*.f64 2 (cbrt.f64 (/.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (/.f64 x (*.f64 2 y))))) 1)
(cos.f64 (/.f64 x (*.f64 2 y)))
(*.f64 (cos.f64 (/.f64 x (*.f64 2 y))) 1)
(cos.f64 (/.f64 x (*.f64 2 y)))
(*.f64 1 (cos.f64 (/.f64 x (*.f64 2 y))))
(cos.f64 (/.f64 x (*.f64 2 y)))
(*.f64 (sqrt.f64 (cos.f64 (/.f64 x (*.f64 2 y)))) (sqrt.f64 (cos.f64 (/.f64 x (*.f64 2 y)))))
(cos.f64 (/.f64 x (*.f64 2 y)))
(*.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 2 y)))) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 2 y)))) 2))
(cos.f64 (/.f64 x (*.f64 2 y)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 2 y)))) 2) (cbrt.f64 (cos.f64 (/.f64 x (*.f64 2 y)))))
(cos.f64 (/.f64 x (*.f64 2 y)))
(pow.f64 (cos.f64 (/.f64 x (*.f64 2 y))) 1)
(cos.f64 (/.f64 x (*.f64 2 y)))
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 x (*.f64 2 y)))) 2)
(cos.f64 (/.f64 x (*.f64 2 y)))
(pow.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 2 y)))) 3)
(cos.f64 (/.f64 x (*.f64 2 y)))
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 2 y))) 3) 1/3)
(cos.f64 (/.f64 x (*.f64 2 y)))
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 2 y))) 2))
(fabs.f64 (cos.f64 (/.f64 x (*.f64 2 y))))
(log.f64 (exp.f64 (cos.f64 (/.f64 x (*.f64 2 y)))))
(cos.f64 (/.f64 x (*.f64 2 y)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (/.f64 x (*.f64 2 y))))))
(cos.f64 (/.f64 x (*.f64 2 y)))
(cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 2 y))) 3))
(cos.f64 (/.f64 x (*.f64 2 y)))
(expm1.f64 (log1p.f64 (cos.f64 (/.f64 x (*.f64 2 y)))))
(cos.f64 (/.f64 x (*.f64 2 y)))
(exp.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 2 y)))))
(cos.f64 (/.f64 x (*.f64 2 y)))
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 2 y)))) 1))
(cos.f64 (/.f64 x (*.f64 2 y)))
(log1p.f64 (expm1.f64 (cos.f64 (/.f64 x (*.f64 2 y)))))
(cos.f64 (/.f64 x (*.f64 2 y)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)
(cbrt.f64 x)
(*.f64 (cbrt.f64 x) 1)
(cbrt.f64 x)
(*.f64 1 (cbrt.f64 x))
(cbrt.f64 x)
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(cbrt.f64 x)
(*.f64 (pow.f64 x 1/6) (neg.f64 (neg.f64 (pow.f64 x 1/6))))
(cbrt.f64 x)
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (sqrt.f64 (neg.f64 (cbrt.f64 x))) (neg.f64 (sqrt.f64 (neg.f64 (cbrt.f64 x)))))
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(/.f64 (*.f64 2 y) (cbrt.f64 x))
(*.f64 2 (/.f64 y (cbrt.f64 x)))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 y -2) (cbrt.f64 x))) (cbrt.f64 (/.f64 (*.f64 y -2) (cbrt.f64 x))))) (cbrt.f64 (/.f64 (*.f64 y -2) (cbrt.f64 x))))
(/.f64 (*.f64 2 y) (cbrt.f64 x))
(*.f64 2 (/.f64 y (cbrt.f64 x)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))))) (sqrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))))
(/.f64 (*.f64 2 y) (cbrt.f64 x))
(*.f64 2 (/.f64 y (cbrt.f64 x)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))) 2))) (cbrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))))
(/.f64 (*.f64 2 y) (cbrt.f64 x))
(*.f64 2 (/.f64 y (cbrt.f64 x)))
(pow.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x)) 1)
(/.f64 (*.f64 2 y) (cbrt.f64 x))
(*.f64 2 (/.f64 y (cbrt.f64 x)))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))) 2)
(/.f64 (*.f64 2 y) (cbrt.f64 x))
(*.f64 2 (/.f64 y (cbrt.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))) 3)
(/.f64 (*.f64 2 y) (cbrt.f64 x))
(*.f64 2 (/.f64 y (cbrt.f64 x)))
(pow.f64 (pow.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x)) 3) 1/3)
(/.f64 (*.f64 2 y) (cbrt.f64 x))
(*.f64 2 (/.f64 y (cbrt.f64 x)))
(pow.f64 (/.f64 (cbrt.f64 x) (*.f64 2 y)) -1)
(/.f64 (*.f64 2 y) (cbrt.f64 x))
(*.f64 2 (/.f64 y (cbrt.f64 x)))
(neg.f64 (/.f64 (*.f64 y -2) (cbrt.f64 x)))
(/.f64 (*.f64 2 y) (cbrt.f64 x))
(*.f64 2 (/.f64 y (cbrt.f64 x)))
(neg.f64 (/.f64 (/.f64 (*.f64 y -2) (cbrt.f64 x)) 1))
(/.f64 (*.f64 2 y) (cbrt.f64 x))
(*.f64 2 (/.f64 y (cbrt.f64 x)))
(neg.f64 (/.f64 y (*.f64 (cbrt.f64 x) -1/2)))
(/.f64 (*.f64 2 y) (cbrt.f64 x))
(*.f64 2 (/.f64 y (cbrt.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x)) 2))
(fabs.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x)))
(fabs.f64 (*.f64 2 (/.f64 y (cbrt.f64 x))))
(log.f64 (exp.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))))
(/.f64 (*.f64 2 y) (cbrt.f64 x))
(*.f64 2 (/.f64 y (cbrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x)))))
(/.f64 (*.f64 2 y) (cbrt.f64 x))
(*.f64 2 (/.f64 y (cbrt.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x)) 3))
(/.f64 (*.f64 2 y) (cbrt.f64 x))
(*.f64 2 (/.f64 y (cbrt.f64 x)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 y) 3) x))
(/.f64 (*.f64 2 y) (cbrt.f64 x))
(*.f64 2 (/.f64 y (cbrt.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))))
(/.f64 (*.f64 2 y) (cbrt.f64 x))
(*.f64 2 (/.f64 y (cbrt.f64 x)))
(exp.f64 (log.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))))
(/.f64 (*.f64 2 y) (cbrt.f64 x))
(*.f64 2 (/.f64 y (cbrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))) 1))
(/.f64 (*.f64 2 y) (cbrt.f64 x))
(*.f64 2 (/.f64 y (cbrt.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))))
(/.f64 (*.f64 2 y) (cbrt.f64 x))
(*.f64 2 (/.f64 y (cbrt.f64 x)))

localize79.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (/.f64 1/2 y) x)
0.3b
(cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
25.0b
(cos.f64 (*.f64 (/.f64 1/2 y) x))
25.0b
(cos.f64 (*.f64 1/2 (/.f64 x y)))
Compiler

Compiled 120 to 82 computations (31.7% saved)

series2.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite95.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1942×add-sqr-sqrt
1912×*-un-lft-identity
1786×add-cube-cbrt
1764×add-cbrt-cube
196×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01051
120251
2241751
Stop Event
node limit
Counts
3 → 65
Calls
Call 1
Inputs
(cos.f64 (*.f64 (/.f64 1/2 y) x))
(cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))
(*.f64 (/.f64 1/2 y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (/.f64 x (*.f64 y 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (/.f64 x (*.f64 y 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) (sqrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 2) (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 2) 1) (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 2) (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) 1/6)) (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) 1/6) (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 1/3) (pow.f64 (sqrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 y 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/2) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 y 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (*.f64 y 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (*.f64 y 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (*.f64 y 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (*.f64 y 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (*.f64 y 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (*.f64 y 2))))))))

simplify81.0ms (0.6%)

Algorithm
egg-herbie
Rules
648×+-commutative
624×associate-*r/
612×*-commutative
608×times-frac
514×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01923095
14413063
217402979
370162979
Stop Event
node limit
Counts
137 → 103
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)))))
(+.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))))))
(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)))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
1
(+.f64 1 (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 x 4)) (*.f64 1/192 (pow.f64 x 4))) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 -1/46080 (pow.f64 x 6)) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (*.f64 1/384 (pow.f64 x 4)) (*.f64 1/192 (pow.f64 x 4))) (pow.f64 x 2))) (*.f64 -1/13824 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 x 4)) (*.f64 1/192 (pow.f64 x 4))) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
1
(+.f64 1 (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 x 4)) (*.f64 1/192 (pow.f64 x 4))) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 -1/46080 (pow.f64 x 6)) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (*.f64 1/384 (pow.f64 x 4)) (*.f64 1/192 (pow.f64 x 4))) (pow.f64 x 2))) (*.f64 -1/13824 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 x 4)) (*.f64 1/192 (pow.f64 x 4))) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
1
(+.f64 1 (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 -1/1152 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 1 (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 (*.f64 -1/1152 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 1 (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -23/414720 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (/.f64 x (*.f64 y 2))))) 1)
(*.f64 (cos.f64 (/.f64 x (*.f64 y 2))) 1)
(*.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 2))
(*.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))
(*.f64 (sqrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) (sqrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 2) (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 2) 1) (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 2) (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) 1/6)) (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))
(pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) 1)
(pow.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 3)
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 2)
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) 2))
(log.f64 (exp.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))
(cbrt.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))
(exp.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))) 1)
(*.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 1)
(*.f64 1 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))
(*.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) 1/6) (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 1/3) (pow.f64 (sqrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))
(pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 1)
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 y 2)))) 1)
(/.f64 1/2 (/.f64 y x))
(/.f64 x (*.f64 y 2))
(/.f64 1 (/.f64 y (*.f64 1/2 x)))
(/.f64 (*.f64 1/2 x) y)
(/.f64 (*.f64 x -1/2) (neg.f64 y))
(/.f64 (*.f64 -1/2 x) (neg.f64 y))
(/.f64 (/.f64 (*.f64 1/2 x) 1) y)
(/.f64 (/.f64 (*.f64 1/2 x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (neg.f64 (*.f64 1/2 x)) (neg.f64 y))
(pow.f64 (/.f64 x (*.f64 y 2)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (*.f64 y 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (*.f64 y 2))) 3)
(pow.f64 (pow.f64 (/.f64 x (*.f64 y 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 x (*.f64 y 2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (*.f64 y 2)))))
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 y 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (*.f64 y 2))))
(exp.f64 (log.f64 (/.f64 x (*.f64 y 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (*.f64 y 2))))
Outputs
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (/.f64 x y) 2))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (/.f64 x y) 2))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (/.f64 x y) 2))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (/.f64 x y) 2))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1)))
1
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1)))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (/.f64 x y) 2))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (/.f64 x y) 2))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (/.f64 x y) 2))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (/.f64 x y) 2))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (/.f64 x y) 2))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (/.f64 x y) 2))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (/.f64 x y) 2))
(cos.f64 (*.f64 1/2 (/.f64 x y)))
(cos.f64 (/.f64 (/.f64 x y) 2))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1/3)
(cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))
1
(+.f64 1 (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1/24))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/24 1)
(+.f64 1 (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 x 4)) (*.f64 1/192 (pow.f64 x 4))) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (fma.f64 1/3 (/.f64 (*.f64 (pow.f64 x 4) -1/384) (pow.f64 y 4)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1/24)))
(+.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/24 1) (/.f64 1/3 (/.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -1/384))))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/24 (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1/384) 1))
(+.f64 1 (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 -1/46080 (pow.f64 x 6)) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (*.f64 1/384 (pow.f64 x 4)) (*.f64 1/192 (pow.f64 x 4))) (pow.f64 x 2))) (*.f64 -1/13824 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 x 4)) (*.f64 1/192 (pow.f64 x 4))) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(+.f64 1 (fma.f64 1/3 (/.f64 (-.f64 (*.f64 -1/46080 (pow.f64 x 6)) (fma.f64 -1/12 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/384)) (*.f64 (pow.f64 x 6) -1/13824))) (pow.f64 y 6)) (fma.f64 1/3 (/.f64 (*.f64 (pow.f64 x 4) -1/384) (pow.f64 y 4)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1/24))))
(+.f64 (*.f64 1/3 (+.f64 (/.f64 (-.f64 (*.f64 -1/46080 (pow.f64 x 6)) (fma.f64 -1/12 (*.f64 (pow.f64 x 4) (*.f64 -1/384 (*.f64 x x))) (*.f64 (pow.f64 x 6) -1/13824))) (pow.f64 y 6)) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -1/384)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/24 1))
(fma.f64 1/3 (+.f64 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1/384) (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 7/138240) (*.f64 -1/12 (*.f64 (pow.f64 x 6) 1/384))) (pow.f64 y 6))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/24 1))
1
(+.f64 1 (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1/24))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/24 1)
(+.f64 1 (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 x 4)) (*.f64 1/192 (pow.f64 x 4))) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(+.f64 1 (fma.f64 1/3 (/.f64 (*.f64 (pow.f64 x 4) -1/384) (pow.f64 y 4)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1/24)))
(+.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/24 1) (/.f64 1/3 (/.f64 (pow.f64 y 4) (*.f64 (pow.f64 x 4) -1/384))))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/24 (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1/384) 1))
(+.f64 1 (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 -1/46080 (pow.f64 x 6)) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (*.f64 1/384 (pow.f64 x 4)) (*.f64 1/192 (pow.f64 x 4))) (pow.f64 x 2))) (*.f64 -1/13824 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 x 4)) (*.f64 1/192 (pow.f64 x 4))) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))
(+.f64 1 (fma.f64 1/3 (/.f64 (-.f64 (*.f64 -1/46080 (pow.f64 x 6)) (fma.f64 -1/12 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/384)) (*.f64 (pow.f64 x 6) -1/13824))) (pow.f64 y 6)) (fma.f64 1/3 (/.f64 (*.f64 (pow.f64 x 4) -1/384) (pow.f64 y 4)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1/24))))
(+.f64 (*.f64 1/3 (+.f64 (/.f64 (-.f64 (*.f64 -1/46080 (pow.f64 x 6)) (fma.f64 -1/12 (*.f64 (pow.f64 x 4) (*.f64 -1/384 (*.f64 x x))) (*.f64 (pow.f64 x 6) -1/13824))) (pow.f64 y 6)) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -1/384)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/24 1))
(fma.f64 1/3 (+.f64 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1/384) (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 7/138240) (*.f64 -1/12 (*.f64 (pow.f64 x 6) 1/384))) (pow.f64 y 6))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/24 1))
1
(+.f64 1 (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1/24))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/24 1)
(+.f64 (*.f64 -1/1152 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 1 (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(fma.f64 -1/1152 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1/24)))
(fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1/1152 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/24 1))
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(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))))
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(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 1/3) (pow.f64 (sqrt.f64 (cos.f64 (/.f64 x (*.f64 y 2)))) 1/3))
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(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2))) 2)))
(pow.f64 (cos.f64 (/.f64 x (*.f64 y 2))) 1/3)
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(log.f64 (exp.f64 (cbrt.f64 (cos.f64 (/.f64 x (*.f64 y 2))))))
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(*.f64 1/2 (/.f64 x y))
(/.f64 (/.f64 x y) 2)
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eval683.0ms (4.9%)

Compiler

Compiled 29305 to 21753 computations (25.8% saved)

prune432.0ms (3.1%)

Pruning

113 alts after pruning (105 fresh and 8 done)

PrunedKeptTotal
New1119471166
Fresh235881
Picked101
Done189
Total11441131257
Error
20.6b
Counts
1257 → 113
Alt Table
Click to see full alt table
StatusErrorProgram
24.9b
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3)
35.1b
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)
35.8b
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (*.f64 y 2))))
35.5b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (fabs.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
35.4b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
35.7b
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1) (sin.f64 (/.f64 x (*.f64 y 2))))
37.3b
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2))))
35.8b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))
37.1b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (/.f64 (*.f64 1/2 x) y))
54.2b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3) 2)))
35.3b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
35.4b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
60.9b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
48.5b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (fabs.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))
51.3b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))
35.4b
(/.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))))
48.0b
(/.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y 2))))
26.7b
(/.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/8 1))
24.9b
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3))
26.4b
(/.f64 1 (-.f64 (pow.f64 (sqrt.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)) 2) 1))
27.2b
(/.f64 1 (-.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)) 3) 1))
61.2b
(/.f64 1 (-.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))) (-.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1))
25.1b
(/.f64 1 (-.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 3)) (+.f64 (*.f64 1/2 (cos.f64 (/.f64 x y))) (-.f64 3/2 (cos.f64 (/.f64 1/2 (/.f64 y x)))))) 1))
61.3b
(/.f64 1 (-.f64 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 (/.f64 x y)) -1/2)) (-.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))) 1))
25.1b
(/.f64 1 (-.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) 1))
24.4b
(/.f64 1 (-.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2) 1))
25.1b
(/.f64 1 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3))) 1))
25.2b
(/.f64 1 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))) 1))
25.1b
(/.f64 1 (+.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2) -2))
25.1b
(/.f64 1 (*.f64 (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 3))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) (+.f64 2 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))
25.2b
(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3) -2))) (fabs.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))))
25.2b
(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.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))))))) -2))) (fabs.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))))
25.2b
(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) -2))) (fabs.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))))
31.9b
(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (fabs.f64 (cbrt.f64 (cos.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y 2)) 3) 1/3))))))
39.6b
(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (fabs.f64 (cbrt.f64 (cos.f64 (pow.f64 (sqrt.f64 (/.f64 x (*.f64 y 2))) 2))))))
25.2b
(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (fabs.f64 (cbrt.f64 (cos.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y 2))) 3))))))
25.2b
(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (fabs.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)))))))
25.2b
(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (fabs.f64 (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))
26.7b
(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (fabs.f64 (cbrt.f64 (cos.f64 (expm1.f64 (log1p.f64 (/.f64 x (*.f64 y 2)))))))))
25.6b
(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) 1))
25.5b
(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 1 -2))) (fabs.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))))
25.5b
(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 1 -2))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))
25.1b
(/.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))))
25.1b
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (/.f64 x (*.f64 2 y))))))
25.1b
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (/.f64 x (*.f64 2 y))))))
25.2b
(/.f64 1 (fabs.f64 (cos.f64 (/.f64 x (*.f64 2 y)))))
31.9b
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 x y) 2) 3) 1/3)))
39.3b
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (/.f64 (/.f64 x y) 2)) 2)))
25.2b
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) 2)) 3)))
44.8b
(/.f64 1 (cos.f64 (/.f64 (pow.f64 (pow.f64 (pow.f64 x 1/6) 2) 2) (/.f64 (*.f64 y 2) (cbrt.f64 x)))))
25.2b
(/.f64 1 (cos.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) 2) (/.f64 (*.f64 y 2) (cbrt.f64 x)))))
44.9b
(/.f64 1 (cos.f64 (/.f64 (pow.f64 (pow.f64 x 1/3) 2) (/.f64 (*.f64 y 2) (cbrt.f64 x)))))
44.7b
(/.f64 1 (cos.f64 (/.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 x) 1/3)) 2) (/.f64 (*.f64 y 2) (cbrt.f64 x)))))
25.3b
(/.f64 1 (cos.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))) 3))))
44.8b
(/.f64 1 (cos.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 y 2) (pow.f64 (pow.f64 x 1/6) 2)))))
25.5b
(/.f64 1 (cos.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 y 2) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))))
44.8b
(/.f64 1 (cos.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 y 2) (pow.f64 x 1/3)))))
30.5b
(/.f64 1 (cos.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 y 2) (expm1.f64 (log1p.f64 (cbrt.f64 x)))))))
44.8b
(/.f64 1 (cos.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 y 2) (exp.f64 (*.f64 (log.f64 x) 1/3))))))
25.3b
(/.f64 1 (cos.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 y 2) (cbrt.f64 x)))))
25.2b
(/.f64 1 (cos.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))) 2) (cbrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x)))))))
44.8b
(/.f64 1 (cos.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 y)) 2) (pow.f64 x 1/6)) (/.f64 (cbrt.f64 (*.f64 2 y)) (pow.f64 x 1/6))))))
25.3b
(/.f64 1 (cos.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 y)) 2) (cbrt.f64 x)) (cbrt.f64 (*.f64 2 y))))))
44.9b
(/.f64 1 (cos.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 y (pow.f64 x 1/6)) (/.f64 2 (pow.f64 x 1/6))))))
44.8b
(/.f64 1 (cos.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 2 (*.f64 (pow.f64 (/.f64 1 x) 1/3) y)))))
43.6b
(/.f64 1 (cos.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (exp.f64 (log.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x)))))))
25.3b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 x 2) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))))
25.7b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))
46.2b
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))))
25.1b
(/.f64 1 (cos.f64 (/.f64 (/.f64 x (*.f64 (cbrt.f64 (*.f64 y 2)) (cbrt.f64 (*.f64 y 2)))) (cbrt.f64 (*.f64 y 2)))))
25.3b
(/.f64 1 (cos.f64 (/.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1) (/.f64 (*.f64 y 2) (cbrt.f64 x)))))
44.9b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 x 1/6) (sqrt.f64 x)) (/.f64 (*.f64 y 2) (cbrt.f64 x)))))
25.6b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x))) (/.f64 (*.f64 y 2) (cbrt.f64 x)))))
27.5b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (*.f64 x (cbrt.f64 (/.f64 (/.f64 1/4 y) y))) 1) (cbrt.f64 (*.f64 y 2)))))
26.0b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) 2) 2)) (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 y))))
25.3b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)) (/.f64 (*.f64 y 2) (cbrt.f64 x)))))
25.3b
(/.f64 1 (cos.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 x 1/2))) (/.f64 y (cbrt.f64 (*.f64 x 1/2))))))
25.2b
(/.f64 1 (cos.f64 (/.f64 (*.f64 x (/.f64 1/2 (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2))))
27.7b
(/.f64 1 (cos.f64 (/.f64 (*.f64 x (cbrt.f64 (/.f64 1/4 (*.f64 y y)))) (cbrt.f64 (*.f64 y 2)))))
25.9b
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (cbrt.f64 (/.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 y x) 2)))))
25.0b
(/.f64 1 (cos.f64 (/.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (*.f64 y 2) (cbrt.f64 x)))))
44.8b
(/.f64 1 (cos.f64 (/.f64 (exp.f64 (*.f64 (log.f64 x) 2/3)) (/.f64 (*.f64 y 2) (cbrt.f64 x)))))
27.7b
(/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (*.f64 y 2) (cbrt.f64 x)))))
25.1b
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
25.4b
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (/.f64 y (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))
44.6b
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (/.f64 y (sqrt.f64 x))) (sqrt.f64 x))))
24.9b
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (cbrt.f64 (cbrt.f64 y))) (/.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))))
44.6b
(/.f64 1 (cos.f64 (*.f64 (*.f64 (sqrt.f64 x) (/.f64 1/2 y)) (sqrt.f64 x))))
24.9b
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
25.1b
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
26.3b
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (/.f64 (/.f64 x y) 2)))))
26.1b
(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) 2) 3))))
27.2b
(+.f64 1 (*.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y))))
26.3b
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))) 3/2) (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (/.f64 x y) 2)))) 3/2))
35.1b
(*.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))))))
35.8b
(*.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 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))))
36.3b
(*.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 1/2 (/.f64 x y))))))
36.0b
(*.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3) 2)) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cos.f64 (*.f64 x (/.f64 1/2 y))))))
40.1b
(*.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 4)))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cos.f64 (*.f64 x (/.f64 1/2 y))))))
36.2b
(*.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)))
35.7b
(*.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cos.f64 (*.f64 x (/.f64 1/2 y))))))
35.7b
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cos.f64 (*.f64 x (/.f64 1/2 y))))))
35.7b
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))
35.4b
(*.f64 2 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (+.f64 0 (sin.f64 (/.f64 x y)))))
24.9b
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
26.3b
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 x y) 2)))))
24.9b
(cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3))
24.9b
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3))
26.6b
(cbrt.f64 (/.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -3/8 1)))
25.1b
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (/.f64 (/.f64 x y) 2)) 3)))
25.3b
(cbrt.f64 (sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -6)))
24.6b
1
Compiler

Compiled 2219 to 1765 computations (20.5% saved)

regimes948.0ms (6.8%)

Counts
213 → 1
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y))))
(+.f64 1 (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(/.f64 1 (+.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2) -2))
(/.f64 1 (-.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) 1))
(/.f64 1 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1))
(/.f64 1 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1))
(/.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/8 1))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (/.f64 (*.f64 1/2 x) y))
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 1 (fabs.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 1 (fabs.f64 (cos.f64 (/.f64 x (*.f64 2 y)))))
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
(cbrt.f64 (/.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -3/8 1)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 1 (-.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2) 1))
(*.f64 2 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (+.f64 0 (sin.f64 (/.f64 x y)))))
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(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (*.f64 (cbrt.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 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 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (/.f64 1 (/.f64 (/.f64 (cos.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))) (sin.f64 (/.f64 x (*.f64 y 2))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (cbrt.f64 (cbrt.f64 y))) (/.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)) (/.f64 (*.f64 y 2) (cbrt.f64 x)))))
(/.f64 1 (cos.f64 (/.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x))) (/.f64 (*.f64 y 2) (cbrt.f64 x)))))
(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (fabs.f64 (cbrt.f64 (cos.f64 (expm1.f64 (log1p.f64 (/.f64 x (*.f64 y 2)))))))))
(/.f64 1 (cos.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x))) 2) (cbrt.f64 (/.f64 (*.f64 2 y) (cbrt.f64 x)))))))
(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (fabs.f64 (cbrt.f64 (cos.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y 2))) 3))))))
(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (fabs.f64 (cbrt.f64 (cos.f64 (pow.f64 (sqrt.f64 (/.f64 x (*.f64 y 2))) 2))))))
(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3) -2))) (fabs.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (log1p.f64 (expm1.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (fabs.f64 (cbrt.f64 (cos.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y 2)) 3) 1/3))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 4))) (fabs.f64 (cbrt.f64 (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 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3))
(/.f64 1 (cos.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 y)) 2) (pow.f64 x 1/6)) (/.f64 (cbrt.f64 (*.f64 2 y)) (pow.f64 x 1/6))))))
(*.f64 (pow.f64 (log1p.f64 (expm1.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 (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 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3)) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 3) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.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 (pow.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (*.f64 (cbrt.f64 (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 (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) 2) -1) (*.f64 (cbrt.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2)) (cbrt.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2)))) (cbrt.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2))))
(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))))
(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (fabs.f64 (cbrt.f64 (cos.f64 (/.f64 (/.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 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 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 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)))
(*.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3) 2)) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2))) 3) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 1 (*.f64 (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 3))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) (+.f64 2 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))
(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 2)))))
(*.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 (*.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 1 (/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) (cbrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))) (/.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))))))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (/.f64 (/.f64 (neg.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))
(*.f64 (pow.f64 (/.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))))))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(*.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 4)))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cos.f64 (*.f64 x (/.f64 1/2 y))))))
(*.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) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)) (/.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (*.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)))))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (/.f64 (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.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))))))) -2))) (fabs.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))))
(/.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)))) (sqrt.f64 (pow.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 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2))) (/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2)))))
Outputs
(/.f64 1 (-.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2) 1))
Calls

5 calls:

175.0ms
(*.f64 y 2)
164.0ms
y
144.0ms
(/.f64 x (*.f64 y 2))
141.0ms
x
80.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
Results
ErrorSegmentsBranch
24.4b1x
24.4b1y
24.4b1(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
24.4b1(/.f64 x (*.f64 y 2))
24.4b1(*.f64 y 2)
Compiler

Compiled 4450 to 3242 computations (27.1% saved)

regimes56.0ms (0.4%)

Accuracy

Total -16.1b remaining (-65.4%)

Threshold costs -16.1b (-65.4%)

Counts
21 → 1
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y))))
(+.f64 1 (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y))))
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))
(/.f64 1 (+.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2) -2))
(/.f64 1 (-.f64 (+.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) 1))
(/.f64 1 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1))
(/.f64 1 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1))
(/.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/8 1))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (/.f64 (*.f64 1/2 x) y))
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 1 (fabs.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))
(/.f64 1 (fabs.f64 (cos.f64 (/.f64 x (*.f64 2 y)))))
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))
(cbrt.f64 (/.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -3/8 1)))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (/.f64 x (*.f64 y 2))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (*.f64 x (/.f64 1/2 y))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
Outputs
1
Calls

5 calls:

14.0ms
x
11.0ms
(*.f64 y 2)
10.0ms
y
9.0ms
(/.f64 x (*.f64 y 2))
6.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
Results
ErrorSegmentsBranch
24.6b1x
24.6b1y
24.6b1(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
24.6b1(/.f64 x (*.f64 y 2))
24.6b1(*.f64 y 2)
Compiler

Compiled 260 to 169 computations (35% saved)

simplify4.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative
sub-neg
1-exp
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01542
12242
22342
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 1 (-.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2) 1))
1
Outputs
(/.f64 1 (-.f64 (*.f64 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2))) 2) 1))
(/.f64 1 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/16 (pow.f64 (/.f64 x y) 2)))) -1))
1
Compiler

Compiled 19 to 17 computations (10.5% saved)

soundness99.0ms (0.7%)

Algorithm
egg-herbie
Rules
1750×associate-*r/
1502×associate--r+
910×associate--l+
858×+-commutative
626×associate-+r-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040510790
1105110306
2471110300
Stop Event
node limit
Compiler

Compiled 100 to 81 computations (19% saved)

end19.0ms (0.1%)

Compiler

Compiled 17 to 15 computations (11.8% saved)

Profiling

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