Details

Time bar (total: 6.3s)

analyze84.0ms (1.3%)

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
25%25%74.9%0.1%0%0%0%5
43.8%43.7%56.2%0.1%0%0%0%6
62.5%62.4%37.5%0.1%0%0%0%7
70.3%70.2%29.7%0.1%0%0%0%8
78.1%78%21.9%0.1%0%0%0%9
83.2%83.1%16.8%0.1%0%0%0%10
88.3%88.2%11.7%0.1%0%0%0%11
91.1%91%8.9%0.1%0%0%0%12
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample2.1s (33.9%)

Results
1.1s5995×body256valid
747.0ms1384×body1024valid
280.0ms875×body512valid
1.0msbody2048valid
Bogosity

preprocess14.0ms (0.2%)

Algorithm
egg-herbie
Rules
12×*-commutative
associate-/l*
associate-*l/
associate-/r/
associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01134
11734
22534
33134
43334
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 y (/.f64 (sin.f64 x) x))
Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
Compiler

Compiled 10 to 7 computations (30% saved)

simplify16.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
11117
21517
31917
42017
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
Outputs
(*.f64 x (/.f64 (sin.f64 y) y))

eval0.0ms (0%)

Compiler

Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Accurracy
99.8%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
Compiler

Compiled 8 to 5 computations (37.5% saved)

localize7.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
99.8%
(/.f64 (sin.f64 y) y)
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
Compiler

Compiled 16 to 5 computations (68.8% saved)

series5.0ms (0.1%)

Counts
2 → 28
Calls

9 calls:

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

rewrite83.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1726×pow1
1584×add-exp-log
1584×log1p-expm1-u
1584×expm1-log1p-u
1548×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
116328
2211828
Stop Event
node limit
Counts
2 → 53
Calls
Call 1
Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
Outputs
(-.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) 1)
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 1 (/.f64 y (*.f64 x (sin.f64 y))))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 y))
(/.f64 (*.f64 x (neg.f64 (sin.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) 1) y)
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (sin.f64 y) y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
(-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (/.f64 (sin.f64 y) y) 1)
(*.f64 1 (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (sin.f64 y))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(pow.f64 (/.f64 y (sin.f64 y)) -1)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))

simplify73.0ms (1.2%)

Algorithm
egg-herbie
Rules
1744×log-prod
994×associate-*r/
838×unswap-sqr
808×fma-def
794×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01571727
13761539
213331353
373381353
Stop Event
node limit
Counts
81 → 90
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
x
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(-.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) 1)
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 1 (/.f64 y (*.f64 x (sin.f64 y))))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 y))
(/.f64 (*.f64 x (neg.f64 (sin.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) 1) y)
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (sin.f64 y) y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
(-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (/.f64 (sin.f64 y) y) 1)
(*.f64 1 (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (sin.f64 y))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(pow.f64 (/.f64 y (sin.f64 y)) -1)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
Outputs
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
x
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) x)
(fma.f64 (*.f64 (*.f64 -1/6 y) y) x x)
(*.f64 x (fma.f64 y (*.f64 y -1/6) 1))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x))
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x))
(+.f64 x (*.f64 x (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4)))))
(*.f64 x (fma.f64 y (*.f64 y -1/6) (fma.f64 1/120 (pow.f64 y 4) 1)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x)))
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 6)) x)))
(+.f64 (fma.f64 -1/5040 (*.f64 x (pow.f64 y 6)) x) (*.f64 x (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 x (*.f64 x (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 y (*.f64 y -1/6) (*.f64 1/120 (pow.f64 y 4))))))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 -1/6 (*.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 y -1/6) 1)
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))))
(fma.f64 y (*.f64 y -1/6) (fma.f64 1/120 (pow.f64 y 4) 1))
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) (fma.f64 -1/5040 (pow.f64 y 6) 1))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 y (*.f64 y -1/6) (fma.f64 1/120 (pow.f64 y 4) 1)))
(-.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) 1)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 1 (/.f64 y (*.f64 x (sin.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (neg.f64 (sin.f64 y))) (neg.f64 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (neg.f64 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) 1) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y))))
(*.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (/.f64 x (cbrt.f64 (*.f64 y y))))
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 1)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 3)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 3) 1/3)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 2)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 2))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 3))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (sin.f64 y) y) 3)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 x 3)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(exp.f64 (log.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (sin.f64 y) (/.f64 1 y))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sin.f64 y) y) 1)
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 1 (/.f64 (sin.f64 y) y))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 y) (sin.f64 y))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(/.f64 (sin.f64 y) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (*.f64 y y)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (*.f64 y y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(/.f64 (sin.f64 y) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y)))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(pow.f64 (/.f64 y (sin.f64 y)) -1)
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)

eval17.0ms (0.3%)

Compiler

Compiled 998 to 457 computations (54.2% saved)

prune23.0ms (0.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New83790
Fresh000
Picked011
Done000
Total83891
Accurracy
100.0%
Counts
91 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.6%
(/.f64 (*.f64 (sin.f64 y) x) y)
99.8%
(/.f64 x (/.f64 y (sin.f64 y)))
89.1%
(/.f64 1 (/.f64 y (*.f64 x (sin.f64 y))))
55.8%
(*.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (/.f64 x (cbrt.f64 (*.f64 y y))))
88.8%
(*.f64 (sin.f64 y) (/.f64 x y))
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
47.6%
(*.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 y y))))
49.2%
x
Compiler

Compiled 129 to 85 computations (34.1% saved)

localize7.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
99.8%
(/.f64 x (/.f64 y (sin.f64 y)))
99.8%
(/.f64 y (sin.f64 y))
Compiler

Compiled 16 to 5 computations (68.8% saved)

series2.0ms (0%)

Counts
2 → 28
Calls

9 calls:

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

rewrite108.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
1924×pow1
1776×add-exp-log
1776×log1p-expm1-u
1776×expm1-log1p-u
178×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
116928
2236728
Stop Event
node limit
Counts
2 → 74
Calls
Call 1
Inputs
(/.f64 y (sin.f64 y))
(/.f64 x (/.f64 y (sin.f64 y)))
Outputs
(-.f64 (+.f64 1 (/.f64 y (sin.f64 y))) 1)
(*.f64 y (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 y (sin.f64 y)) 1)
(*.f64 1 (/.f64 y (sin.f64 y)))
(*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (cbrt.f64 (/.f64 y (sin.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 y))))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (/.f64 y (sin.f64 y))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 y))))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 1 (sin.f64 y)) y)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 y))))
(pow.f64 (/.f64 y (sin.f64 y)) 1)
(pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3)
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2)
(pow.f64 (/.f64 (sin.f64 y) y) -1)
(neg.f64 (/.f64 y (neg.f64 (sin.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2))
(log.f64 (exp.f64 (/.f64 y (sin.f64 y))))
(cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 y (sin.f64 y))))
(exp.f64 (log.f64 (/.f64 y (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (/.f64 y (sin.f64 y))))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) (/.f64 x y))) 1)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(*.f64 1 (*.f64 (sin.f64 y) (/.f64 x y)))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (sin.f64 y) y)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 y) (sin.f64 y))))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 x (cbrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 x (sqrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (*.f64 (/.f64 x y) 1) (sin.f64 y))
(*.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (*.f64 (/.f64 x y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 x 1) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (neg.f64 y)) (neg.f64 (sin.f64 y)))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2)
(pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) -1)
(neg.f64 (/.f64 x (/.f64 (neg.f64 y) (sin.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (sin.f64 y)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y))))

simplify86.0ms (1.4%)

Algorithm
egg-herbie
Rules
1190×fma-neg
1184×fma-def
1074×unswap-sqr
1036×log-div
560×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02102088
15261898
218241692
373761692
Stop Event
node limit
Counts
102 → 106
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (+.f64 (*.f64 31/15120 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
x
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(-.f64 (+.f64 1 (/.f64 y (sin.f64 y))) 1)
(*.f64 y (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 y (sin.f64 y)) 1)
(*.f64 1 (/.f64 y (sin.f64 y)))
(*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (cbrt.f64 (/.f64 y (sin.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 y))))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (/.f64 y (sin.f64 y))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 y))))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 1 (sin.f64 y)) y)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 y))))
(pow.f64 (/.f64 y (sin.f64 y)) 1)
(pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3)
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2)
(pow.f64 (/.f64 (sin.f64 y) y) -1)
(neg.f64 (/.f64 y (neg.f64 (sin.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2))
(log.f64 (exp.f64 (/.f64 y (sin.f64 y))))
(cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 y (sin.f64 y))))
(exp.f64 (log.f64 (/.f64 y (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (/.f64 y (sin.f64 y))))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) (/.f64 x y))) 1)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(*.f64 1 (*.f64 (sin.f64 y) (/.f64 x y)))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (sin.f64 y) y)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 y) (sin.f64 y))))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 x (cbrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 x (sqrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (*.f64 (/.f64 x y) 1) (sin.f64 y))
(*.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (*.f64 (/.f64 x y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 x 1) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (neg.f64 y)) (neg.f64 (sin.f64 y)))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2)
(pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) -1)
(neg.f64 (/.f64 x (/.f64 (neg.f64 y) (sin.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (sin.f64 y)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
Outputs
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (*.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (*.f64 y y) (*.f64 7/360 (pow.f64 y 4))))
(+.f64 (fma.f64 1/6 (*.f64 y y) 1) (*.f64 7/360 (pow.f64 y 4)))
(fma.f64 1/6 (*.f64 y y) (fma.f64 7/360 (pow.f64 y 4) 1))
(+.f64 1 (+.f64 (*.f64 31/15120 (pow.f64 y 6)) (+.f64 (*.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 31/15120 (pow.f64 y 6) (fma.f64 1/6 (*.f64 y y) (*.f64 7/360 (pow.f64 y 4)))))
(fma.f64 31/15120 (pow.f64 y 6) (fma.f64 1/6 (*.f64 y y) (fma.f64 7/360 (pow.f64 y 4) 1)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
x
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/6 (*.f64 (*.f64 y y) x) x)
(fma.f64 -1/6 (*.f64 y (*.f64 y x)) x)
(fma.f64 (*.f64 y y) (*.f64 x -1/6) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x))
(fma.f64 -1/6 (*.f64 (*.f64 y y) x) (fma.f64 1/120 (*.f64 (pow.f64 y 4) x) x))
(fma.f64 -1/6 (*.f64 y (*.f64 y x)) (fma.f64 1/120 (*.f64 (pow.f64 y 4) x) x))
(fma.f64 x (fma.f64 (*.f64 y y) -1/6 (*.f64 (pow.f64 y 4) 1/120)) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x)))
(fma.f64 -1/6 (*.f64 (*.f64 y y) x) (fma.f64 1/120 (*.f64 (pow.f64 y 4) x) (fma.f64 -1/5040 (*.f64 (pow.f64 y 6) x) x)))
(fma.f64 -1/6 (*.f64 y (*.f64 y x)) (fma.f64 1/120 (*.f64 (pow.f64 y 4) x) (fma.f64 -1/5040 (*.f64 (pow.f64 y 6) x) x)))
(fma.f64 x (fma.f64 (pow.f64 y 4) 1/120 (*.f64 (pow.f64 y 6) -1/5040)) (fma.f64 (*.f64 y y) (*.f64 x -1/6) x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(-.f64 (+.f64 1 (/.f64 y (sin.f64 y))) 1)
(+.f64 1 (-.f64 (/.f64 y (sin.f64 y)) 1))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(*.f64 y (/.f64 1 (sin.f64 y)))
(+.f64 1 (-.f64 (/.f64 y (sin.f64 y)) 1))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 y (sin.f64 y)) 1)
(+.f64 1 (-.f64 (/.f64 y (sin.f64 y)) 1))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(*.f64 1 (/.f64 y (sin.f64 y)))
(+.f64 1 (-.f64 (/.f64 y (sin.f64 y)) 1))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2))
(+.f64 1 (-.f64 (/.f64 y (sin.f64 y)) 1))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (cbrt.f64 (/.f64 y (sin.f64 y))))
(+.f64 1 (-.f64 (/.f64 y (sin.f64 y)) 1))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 y))))
(+.f64 1 (-.f64 (/.f64 y (sin.f64 y)) 1))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (/.f64 y (sin.f64 y))))
(+.f64 1 (-.f64 (/.f64 y (sin.f64 y)) 1))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 y))))
(+.f64 1 (-.f64 (/.f64 y (sin.f64 y)) 1))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (sin.f64 y))))
(+.f64 1 (-.f64 (/.f64 y (sin.f64 y)) 1))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 1 (sin.f64 y)) y)
(+.f64 1 (-.f64 (/.f64 y (sin.f64 y)) 1))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y))))
(+.f64 1 (-.f64 (/.f64 y (sin.f64 y)) 1))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y))))
(+.f64 1 (-.f64 (/.f64 y (sin.f64 y)) 1))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (sin.f64 y)))
(+.f64 1 (-.f64 (/.f64 y (sin.f64 y)) 1))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (/.f64 y (sin.f64 y))))
(*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y))))
(+.f64 1 (-.f64 (/.f64 y (sin.f64 y)) 1))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(+.f64 1 (-.f64 (/.f64 y (sin.f64 y)) 1))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 y))))
(+.f64 1 (-.f64 (/.f64 y (sin.f64 y)) 1))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(pow.f64 (/.f64 y (sin.f64 y)) 1)
(+.f64 1 (-.f64 (/.f64 y (sin.f64 y)) 1))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3)
(+.f64 1 (-.f64 (/.f64 y (sin.f64 y)) 1))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 y (sin.f64 y)) 1))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2)
(+.f64 1 (-.f64 (/.f64 y (sin.f64 y)) 1))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(pow.f64 (/.f64 (sin.f64 y) y) -1)
(+.f64 1 (-.f64 (/.f64 y (sin.f64 y)) 1))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(neg.f64 (/.f64 y (neg.f64 (sin.f64 y))))
(+.f64 1 (-.f64 (/.f64 y (sin.f64 y)) 1))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2))
(+.f64 1 (-.f64 (/.f64 y (sin.f64 y)) 1))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(log.f64 (exp.f64 (/.f64 y (sin.f64 y))))
(+.f64 1 (-.f64 (/.f64 y (sin.f64 y)) 1))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3))
(+.f64 1 (-.f64 (/.f64 y (sin.f64 y)) 1))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)))
(+.f64 1 (-.f64 (/.f64 y (sin.f64 y)) 1))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(expm1.f64 (log1p.f64 (/.f64 y (sin.f64 y))))
(+.f64 1 (-.f64 (/.f64 y (sin.f64 y)) 1))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(exp.f64 (log.f64 (/.f64 y (sin.f64 y))))
(+.f64 1 (-.f64 (/.f64 y (sin.f64 y)) 1))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1))
(+.f64 1 (-.f64 (/.f64 y (sin.f64 y)) 1))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(log1p.f64 (expm1.f64 (/.f64 y (sin.f64 y))))
(+.f64 1 (-.f64 (/.f64 y (sin.f64 y)) 1))
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) (/.f64 x y))) 1)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 1 (*.f64 (sin.f64 y) (/.f64 x y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (sin.f64 y) y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 y) (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 x (cbrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 x (sqrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) (/.f64 1 (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (*.f64 (/.f64 x y) 1) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (*.f64 (/.f64 x y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 x 1) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 x (neg.f64 y)) (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 3)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3) 1/3)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) -1)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(neg.f64 (/.f64 x (/.f64 (neg.f64 y) (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 2))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (sin.f64 y)) 3)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 1))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))

localize10.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
99.7%
(*.f64 -1/6 (*.f64 y y))
93.3%
(*.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 y y))))
Compiler

Compiled 30 to 16 computations (46.7% saved)

series6.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
y
@0
(*.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 y y))))
1.0ms
x
@0
(*.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 y y))))
1.0ms
y
@inf
(*.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 y y))))
0.0ms
x
@inf
(*.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 y y))))
0.0ms
x
@-inf
(*.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 y y))))

rewrite82.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1030×prod-diff
942×log-prod
776×prod-exp
738×fma-def
654×pow-prod-down
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01038
120934
2265834
Stop Event
node limit
Counts
2 → 103
Calls
Call 1
Inputs
(*.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 y y))))
(*.f64 -1/6 (*.f64 y y))
Outputs
(+.f64 x (*.f64 (*.f64 x -1/6) (*.f64 y y)))
(+.f64 x (*.f64 (*.f64 (*.f64 x -1/6) (*.f64 y y)) 1))
(+.f64 0 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)))
(+.f64 (*.f64 (*.f64 x -1/6) (*.f64 y y)) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 -1/6 (*.f64 y y) 1)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 -1/6 (*.f64 y y) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 -1/6 (*.f64 y y) 1)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)))) 1)
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (*.f64 -1/216 (pow.f64 y 6)) (pow.f64 x 3))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x -1/6) (*.f64 y y)) 2) (*.f64 x (*.f64 (*.f64 x -1/6) (*.f64 y y))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x -1/6) (*.f64 y y)) 2)) (-.f64 x (*.f64 (*.f64 x -1/6) (*.f64 y y))))
(/.f64 (*.f64 x (fma.f64 -1/216 (pow.f64 y 6) 1)) (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (*.f64 1/6 (*.f64 y y)))))
(/.f64 (*.f64 x (-.f64 1 (*.f64 1/36 (pow.f64 y 4)))) (+.f64 1 (*.f64 1/6 (*.f64 y y))))
(/.f64 (*.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) x) (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (*.f64 1/6 (*.f64 y y)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 1/36 (pow.f64 y 4))) x) (+.f64 1 (*.f64 1/6 (*.f64 y y))))
(pow.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 -1/6 (*.f64 y y) 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)) x)))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)) x) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)))) 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y y))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log1p.f64 (*.f64 -1/6 (*.f64 y y)))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y y))) 1)))
(exp.f64 (+.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y y))) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y y))) 1) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y y))) 1) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))))
(fma.f64 x 1 (*.f64 (*.f64 x -1/6) (*.f64 y y)))
(fma.f64 x 1 (*.f64 (*.f64 (*.f64 x -1/6) (*.f64 y y)) 1))
(fma.f64 x (*.f64 -1/6 (*.f64 y y)) x)
(fma.f64 1 x (*.f64 (*.f64 x -1/6) (*.f64 y y)))
(fma.f64 1 x (*.f64 (*.f64 (*.f64 x -1/6) (*.f64 y y)) 1))
(fma.f64 1 (*.f64 (*.f64 x -1/6) (*.f64 y y)) x)
(fma.f64 -1/6 (*.f64 (*.f64 y y) x) x)
(fma.f64 (*.f64 y y) (*.f64 -1/6 x) x)
(fma.f64 (*.f64 -1/6 (*.f64 y y)) x x)
(fma.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 y 4))) (*.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 y y))) x) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 x -1/6) (*.f64 y y)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (*.f64 x -1/6) (*.f64 y y)) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (*.f64 x -1/6) (*.f64 y y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (*.f64 (*.f64 x -1/6) (*.f64 y y)) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (*.f64 (*.f64 x -1/6) (*.f64 y y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (*.f64 (*.f64 (*.f64 x -1/6) (*.f64 y y)) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 -1/6 (*.f64 y y))) x)
(fma.f64 (*.f64 y (sqrt.f64 -1/6)) (*.f64 (*.f64 y (sqrt.f64 -1/6)) x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 x -1/6) (*.f64 y y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (*.f64 x -1/6) (*.f64 y y)) 1))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (*.f64 (*.f64 x -1/6) (*.f64 y y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (*.f64 (*.f64 (*.f64 x -1/6) (*.f64 y y)) 1))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 -1/6 (*.f64 y y))) x)
(fma.f64 (*.f64 -1/6 y) (*.f64 y x) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x -1/6) (*.f64 y y))) 2) (cbrt.f64 (*.f64 (*.f64 x -1/6) (*.f64 y y))) x)
(fma.f64 (*.f64 (*.f64 y (sqrt.f64 -1/6)) (sqrt.f64 x)) (*.f64 (*.f64 y (sqrt.f64 -1/6)) (sqrt.f64 x)) x)
(fma.f64 (pow.f64 (*.f64 (*.f64 y (sqrt.f64 -1/6)) (cbrt.f64 x)) 2) (cbrt.f64 x) x)
(fma.f64 (*.f64 (*.f64 -1/6 (*.f64 y y)) (sqrt.f64 x)) (sqrt.f64 x) x)
(fma.f64 (*.f64 x -1/6) (*.f64 y y) x)
(fma.f64 (*.f64 x (*.f64 y y)) -1/6 x)
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 1/36 (pow.f64 y 4)))) (cbrt.f64 (*.f64 -1/6 (*.f64 y y))) x)
(fma.f64 (*.f64 x (*.f64 y (sqrt.f64 -1/6))) (*.f64 y (sqrt.f64 -1/6)) x)
(fma.f64 (*.f64 x (*.f64 -1/6 y)) y x)
(+.f64 0 (*.f64 -1/6 (*.f64 y y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)))))
(-.f64 (fma.f64 -1/6 (*.f64 y y) 1) 1)
(pow.f64 (*.f64 -1/6 (*.f64 y y)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 y y))) 3)
(pow.f64 (*.f64 1/36 (pow.f64 y 4)) 1/2)
(pow.f64 (*.f64 -1/216 (pow.f64 y 6)) 1/3)
(pow.f64 (*.f64 y (sqrt.f64 -1/6)) 2)
(sqrt.f64 (*.f64 1/36 (pow.f64 y 4)))
(log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 y y)))))
(cbrt.f64 (*.f64 -1/216 (pow.f64 y 6)))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y y))))
(expm1.f64 (*.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y y))) 1))
(exp.f64 (log.f64 (*.f64 -1/6 (*.f64 y y))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (*.f64 y y))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/6 (*.f64 y y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 y y)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/216 (pow.f64 y 6))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/6 (*.f64 y y))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 -1/6))) 2))
(exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log.f64 (*.f64 -1/6 y))))
(exp.f64 (+.f64 (log.f64 (*.f64 -1/6 y)) (*.f64 (log.f64 y) 1)))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 y y))))
(fma.f64 1 (fma.f64 -1/6 (*.f64 y y) 1) -1)
(fma.f64 (fma.f64 -1/6 (*.f64 y y) 1) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) 2) (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) -1)
(fma.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) -1)
(fma.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (/.f64 1 (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (*.f64 1/6 (*.f64 y y))))) -1)
(fma.f64 (-.f64 1 (*.f64 1/36 (pow.f64 y 4))) (/.f64 1 (+.f64 1 (*.f64 1/6 (*.f64 y y)))) -1)

simplify87.0ms (1.4%)

Algorithm
egg-herbie
Rules
1196×fma-def
1002×fma-neg
690×prod-exp
674×log-prod
620×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02583073
16172987
215342945
356142941
Stop Event
node limit
Counts
139 → 138
Calls
Call 1
Inputs
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x)
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x)
x
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x)
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x)
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x)
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(*.f64 -1/6 (pow.f64 y 2))
(+.f64 x (*.f64 (*.f64 x -1/6) (*.f64 y y)))
(+.f64 x (*.f64 (*.f64 (*.f64 x -1/6) (*.f64 y y)) 1))
(+.f64 0 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)))
(+.f64 (*.f64 (*.f64 x -1/6) (*.f64 y y)) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 -1/6 (*.f64 y y) 1)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 -1/6 (*.f64 y y) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 -1/6 (*.f64 y y) 1)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)))) 1)
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (*.f64 -1/216 (pow.f64 y 6)) (pow.f64 x 3))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x -1/6) (*.f64 y y)) 2) (*.f64 x (*.f64 (*.f64 x -1/6) (*.f64 y y))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x -1/6) (*.f64 y y)) 2)) (-.f64 x (*.f64 (*.f64 x -1/6) (*.f64 y y))))
(/.f64 (*.f64 x (fma.f64 -1/216 (pow.f64 y 6) 1)) (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (*.f64 1/6 (*.f64 y y)))))
(/.f64 (*.f64 x (-.f64 1 (*.f64 1/36 (pow.f64 y 4)))) (+.f64 1 (*.f64 1/6 (*.f64 y y))))
(/.f64 (*.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) x) (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (*.f64 1/6 (*.f64 y y)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 1/36 (pow.f64 y 4))) x) (+.f64 1 (*.f64 1/6 (*.f64 y y))))
(pow.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 -1/6 (*.f64 y y) 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)) x)))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)) x) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)))) 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y y))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log1p.f64 (*.f64 -1/6 (*.f64 y y)))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y y))) 1)))
(exp.f64 (+.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y y))) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y y))) 1) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y y))) 1) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))))
(fma.f64 x 1 (*.f64 (*.f64 x -1/6) (*.f64 y y)))
(fma.f64 x 1 (*.f64 (*.f64 (*.f64 x -1/6) (*.f64 y y)) 1))
(fma.f64 x (*.f64 -1/6 (*.f64 y y)) x)
(fma.f64 1 x (*.f64 (*.f64 x -1/6) (*.f64 y y)))
(fma.f64 1 x (*.f64 (*.f64 (*.f64 x -1/6) (*.f64 y y)) 1))
(fma.f64 1 (*.f64 (*.f64 x -1/6) (*.f64 y y)) x)
(fma.f64 -1/6 (*.f64 (*.f64 y y) x) x)
(fma.f64 (*.f64 y y) (*.f64 -1/6 x) x)
(fma.f64 (*.f64 -1/6 (*.f64 y y)) x x)
(fma.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 y 4))) (*.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 y y))) x) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 x -1/6) (*.f64 y y)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (*.f64 x -1/6) (*.f64 y y)) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (*.f64 x -1/6) (*.f64 y y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (*.f64 (*.f64 x -1/6) (*.f64 y y)) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (*.f64 (*.f64 x -1/6) (*.f64 y y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (*.f64 (*.f64 (*.f64 x -1/6) (*.f64 y y)) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 -1/6 (*.f64 y y))) x)
(fma.f64 (*.f64 y (sqrt.f64 -1/6)) (*.f64 (*.f64 y (sqrt.f64 -1/6)) x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 x -1/6) (*.f64 y y)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (*.f64 x -1/6) (*.f64 y y)) 1))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (*.f64 (*.f64 x -1/6) (*.f64 y y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (*.f64 (*.f64 (*.f64 x -1/6) (*.f64 y y)) 1))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 -1/6 (*.f64 y y))) x)
(fma.f64 (*.f64 -1/6 y) (*.f64 y x) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x -1/6) (*.f64 y y))) 2) (cbrt.f64 (*.f64 (*.f64 x -1/6) (*.f64 y y))) x)
(fma.f64 (*.f64 (*.f64 y (sqrt.f64 -1/6)) (sqrt.f64 x)) (*.f64 (*.f64 y (sqrt.f64 -1/6)) (sqrt.f64 x)) x)
(fma.f64 (pow.f64 (*.f64 (*.f64 y (sqrt.f64 -1/6)) (cbrt.f64 x)) 2) (cbrt.f64 x) x)
(fma.f64 (*.f64 (*.f64 -1/6 (*.f64 y y)) (sqrt.f64 x)) (sqrt.f64 x) x)
(fma.f64 (*.f64 x -1/6) (*.f64 y y) x)
(fma.f64 (*.f64 x (*.f64 y y)) -1/6 x)
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 1/36 (pow.f64 y 4)))) (cbrt.f64 (*.f64 -1/6 (*.f64 y y))) x)
(fma.f64 (*.f64 x (*.f64 y (sqrt.f64 -1/6))) (*.f64 y (sqrt.f64 -1/6)) x)
(fma.f64 (*.f64 x (*.f64 -1/6 y)) y x)
(+.f64 0 (*.f64 -1/6 (*.f64 y y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)))))
(-.f64 (fma.f64 -1/6 (*.f64 y y) 1) 1)
(pow.f64 (*.f64 -1/6 (*.f64 y y)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 y y))) 3)
(pow.f64 (*.f64 1/36 (pow.f64 y 4)) 1/2)
(pow.f64 (*.f64 -1/216 (pow.f64 y 6)) 1/3)
(pow.f64 (*.f64 y (sqrt.f64 -1/6)) 2)
(sqrt.f64 (*.f64 1/36 (pow.f64 y 4)))
(log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 y y)))))
(cbrt.f64 (*.f64 -1/216 (pow.f64 y 6)))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y y))))
(expm1.f64 (*.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y y))) 1))
(exp.f64 (log.f64 (*.f64 -1/6 (*.f64 y y))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (*.f64 y y))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/6 (*.f64 y y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 y y)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/216 (pow.f64 y 6))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/6 (*.f64 y y))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 -1/6))) 2))
(exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log.f64 (*.f64 -1/6 y))))
(exp.f64 (+.f64 (log.f64 (*.f64 -1/6 y)) (*.f64 (log.f64 y) 1)))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 y y))))
(fma.f64 1 (fma.f64 -1/6 (*.f64 y y) 1) -1)
(fma.f64 (fma.f64 -1/6 (*.f64 y y) 1) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) 2) (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) -1)
(fma.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) -1)
(fma.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (/.f64 1 (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (*.f64 1/6 (*.f64 y y))))) -1)
(fma.f64 (-.f64 1 (*.f64 1/36 (pow.f64 y 4))) (/.f64 1 (+.f64 1 (*.f64 1/6 (*.f64 y y)))) -1)
Outputs
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x)
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x)
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x)
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x)
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x)
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x)
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x)
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x)
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x)
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x)
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x)
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x)
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
x
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x)
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x)
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x)
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(pow.f64 (*.f64 y (sqrt.f64 -1/6)) 2)
(*.f64 -1/6 (*.f64 y y))
(sqrt.f64 (*.f64 1/36 (pow.f64 y 4)))
(log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)))
(*.f64 -1/6 (*.f64 y y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 y y)))))
(*.f64 -1/6 (*.f64 y y))
(cbrt.f64 (*.f64 -1/216 (pow.f64 y 6)))
(*.f64 -1/6 (*.f64 y y))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y y))))
(*.f64 -1/6 (*.f64 y y))
(expm1.f64 (*.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y y))) 1))
(*.f64 -1/6 (*.f64 y y))
(exp.f64 (log.f64 (*.f64 -1/6 (*.f64 y y))))
(*.f64 -1/6 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (*.f64 y y))) 1))
(*.f64 -1/6 (*.f64 y y))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/6 (*.f64 y y))) 1) 1))
(*.f64 -1/6 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 y y)))) 3))
(*.f64 -1/6 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/216 (pow.f64 y 6))) 1/3))
(*.f64 -1/6 (*.f64 y y))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -1/6 (*.f64 y y))) 3) 1/3))
(*.f64 -1/6 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 -1/6))) 2))
(*.f64 -1/6 (*.f64 y y))
(exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log.f64 (*.f64 -1/6 y))))
(*.f64 -1/6 (*.f64 y y))
(exp.f64 (+.f64 (log.f64 (*.f64 -1/6 y)) (*.f64 (log.f64 y) 1)))
(*.f64 -1/6 (*.f64 y y))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 y y))))
(*.f64 -1/6 (*.f64 y y))
(fma.f64 1 (fma.f64 -1/6 (*.f64 y y) 1) -1)
(*.f64 -1/6 (*.f64 y y))
(fma.f64 (fma.f64 -1/6 (*.f64 y y) 1) 1 -1)
(*.f64 -1/6 (*.f64 y y))
(fma.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) 2) -1)
(*.f64 -1/6 (*.f64 y y))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) 2) (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) -1)
(*.f64 -1/6 (*.f64 y y))
(fma.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) -1)
(fma.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (/.f64 1 (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (*.f64 1/6 (*.f64 y y))))) -1)
(fma.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (/.f64 1 (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (*.f64 (*.f64 y y) 1/6)))) -1)
(fma.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (/.f64 1 (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (*.f64 y (*.f64 y 1/6))))) -1)
(+.f64 -1 (/.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y 1/6) 1))))
(fma.f64 (-.f64 1 (*.f64 1/36 (pow.f64 y 4))) (/.f64 1 (+.f64 1 (*.f64 1/6 (*.f64 y y)))) -1)
(fma.f64 (+.f64 1 (*.f64 -1/36 (pow.f64 y 4))) (/.f64 1 (+.f64 1 (*.f64 (*.f64 y y) 1/6))) -1)
(fma.f64 (+.f64 1 (*.f64 (pow.f64 y 4) -1/36)) (/.f64 1 (fma.f64 (*.f64 y y) 1/6 1)) -1)
(+.f64 -1 (/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (*.f64 y 1/6) 1)))

localize14.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
89.6%
(*.f64 (sin.f64 y) (/.f64 x y))
Compiler

Compiled 15 to 5 computations (66.7% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite57.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1726×pow1
1584×add-exp-log
1584×log1p-expm1-u
1584×expm1-log1p-u
1548×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
116317
2211817
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(*.f64 (sin.f64 y) (/.f64 x y))
Outputs
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) (/.f64 x y))) 1)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (neg.f64 y))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) 1) y)
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 x y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (sin.f64 y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y))))

simplify59.0ms (0.9%)

Algorithm
egg-herbie
Rules
1854×fma-def
1486×log-prod
1030×associate-*r*
890×associate-*l*
584×log-div
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
082838
1210838
2711826
34430820
Stop Event
node limit
Counts
46 → 37
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) (/.f64 x y))) 1)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (neg.f64 y))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) 1) y)
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 x y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (sin.f64 y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
Outputs
x
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) x)
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(fma.f64 y (*.f64 y (*.f64 x -1/6)) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x))
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x))
(fma.f64 x (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) x)
(*.f64 x (fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x)))
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 6)) x)))
(fma.f64 x (fma.f64 1/120 (pow.f64 y 4) (*.f64 -1/5040 (pow.f64 y 6))) (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 x (fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (*.f64 -1/5040 (pow.f64 y 6)))) x)
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) (/.f64 x y))) 1)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (neg.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (neg.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) 1) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 3)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3) 1/3)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 2))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 x y) 3)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (sin.f64 y) 3)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))

localize9.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
99.8%
(*.f64 (sin.f64 y) x)
89.6%
(/.f64 (*.f64 (sin.f64 y) x) y)
Compiler

Compiled 16 to 5 computations (68.8% saved)

series2.0ms (0%)

Counts
2 → 8
Calls

12 calls:

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

rewrite65.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1788×pow1
1646×add-exp-log
1646×log1p-expm1-u
1646×expm1-log1p-u
1610×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
116328
2217728
Stop Event
node limit
Counts
2 → 54
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) x)
Outputs
(-.f64 (+.f64 1 (*.f64 (/.f64 (sin.f64 y) y) x)) 1)
(*.f64 (sin.f64 y) (/.f64 1 (/.f64 y x)))
(*.f64 (sin.f64 y) (*.f64 x (/.f64 1 y)))
(*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y)))
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 1 y))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 1)
(*.f64 1 (*.f64 (/.f64 (sin.f64 y) y) x))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (/.f64 1 y)))
(*.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (*.f64 (sin.f64 y) x))
(*.f64 (/.f64 (sin.f64 y) 1) (/.f64 x y))
(*.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 x 1) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 (sin.f64 y) x) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (cbrt.f64 y)))
(pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2)
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) -1)
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) x)) 1)
(pow.f64 (*.f64 (sin.f64 y) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) x)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) x)))

simplify58.0ms (0.9%)

Algorithm
egg-herbie
Rules
1600×times-frac
1086×associate-*r/
912×fma-def
828×associate-*l/
722×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01681826
14371526
216601198
Stop Event
node limit
Counts
62 → 87
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x)))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) x)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(-.f64 (+.f64 1 (*.f64 (/.f64 (sin.f64 y) y) x)) 1)
(*.f64 (sin.f64 y) (/.f64 1 (/.f64 y x)))
(*.f64 (sin.f64 y) (*.f64 x (/.f64 1 y)))
(*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y)))
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 1 y))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 1)
(*.f64 1 (*.f64 (/.f64 (sin.f64 y) y) x))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (/.f64 1 y)))
(*.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (*.f64 (sin.f64 y) x))
(*.f64 (/.f64 (sin.f64 y) 1) (/.f64 x y))
(*.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 x 1) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 (sin.f64 y) x) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (cbrt.f64 y)))
(pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2)
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) -1)
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) x)) 1)
(pow.f64 (*.f64 (sin.f64 y) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) x)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) x)))
Outputs
x
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) x)
(fma.f64 -1/6 (*.f64 y (*.f64 x y)) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x))
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x))
(fma.f64 x (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x)))
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 6)) x)))
(fma.f64 x (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) (*.f64 x (fma.f64 -1/5040 (pow.f64 y 6) 1)))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(fma.f64 y x (*.f64 -1/6 (*.f64 x (pow.f64 y 3))))
(*.f64 x (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (fma.f64 y x (*.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (*.f64 x (+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)))
(*.f64 x (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) x)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (fma.f64 y x (fma.f64 -1/5040 (*.f64 x (pow.f64 y 7)) (*.f64 -1/6 (*.f64 x (pow.f64 y 3))))))
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (fma.f64 x y (*.f64 x (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (*.f64 -1/5040 (pow.f64 y 7))))))
(*.f64 x (+.f64 (fma.f64 -1/6 (pow.f64 y 3) (*.f64 -1/5040 (pow.f64 y 7))) (fma.f64 1/120 (pow.f64 y 5) y)))
(-.f64 (+.f64 1 (*.f64 (/.f64 (sin.f64 y) y) x)) 1)
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 1 (/.f64 y x)))
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (*.f64 x (/.f64 1 y)))
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y)))
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 1 y))
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 1)
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 1 (*.f64 (/.f64 (sin.f64 y) y) x))
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2))
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (/.f64 1 y)))
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (/.f64 1 y)))
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (/.f64 1 (neg.f64 y)))
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 1 y) (*.f64 (sin.f64 y) x))
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) 1) (/.f64 x y))
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 x 1) (/.f64 (sin.f64 y) y))
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 (sin.f64 y) x) (cbrt.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)))
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) y))
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 y)))
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) y))
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (cbrt.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 1)
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 3)
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2)
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) -1)
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)))
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 2))
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 3))
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 y 3)))
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
(+.f64 (+.f64 1 (*.f64 x (/.f64 (sin.f64 y) y))) -1)
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 0)
(/.f64 (sin.f64 y) (/.f64 y x))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) x)) 1)
(+.f64 1 (-.f64 (*.f64 x (sin.f64 y)) 1))
(+.f64 (*.f64 x (sin.f64 y)) 0)
(*.f64 x (sin.f64 y))
(pow.f64 (*.f64 (sin.f64 y) x) 1)
(+.f64 1 (-.f64 (*.f64 x (sin.f64 y)) 1))
(+.f64 (*.f64 x (sin.f64 y)) 0)
(*.f64 x (sin.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
(+.f64 1 (-.f64 (*.f64 x (sin.f64 y)) 1))
(+.f64 (*.f64 x (sin.f64 y)) 0)
(*.f64 x (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 x (sin.f64 y)) 1))
(+.f64 (*.f64 x (sin.f64 y)) 0)
(*.f64 x (sin.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
(+.f64 1 (-.f64 (*.f64 x (sin.f64 y)) 1))
(+.f64 (*.f64 x (sin.f64 y)) 0)
(*.f64 x (sin.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(+.f64 1 (-.f64 (*.f64 x (sin.f64 y)) 1))
(+.f64 (*.f64 x (sin.f64 y)) 0)
(*.f64 x (sin.f64 y))
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(+.f64 1 (-.f64 (*.f64 x (sin.f64 y)) 1))
(+.f64 (*.f64 x (sin.f64 y)) 0)
(*.f64 x (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(+.f64 1 (-.f64 (*.f64 x (sin.f64 y)) 1))
(+.f64 (*.f64 x (sin.f64 y)) 0)
(*.f64 x (sin.f64 y))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))
(+.f64 1 (-.f64 (*.f64 x (sin.f64 y)) 1))
(+.f64 (*.f64 x (sin.f64 y)) 0)
(*.f64 x (sin.f64 y))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))
(+.f64 1 (-.f64 (*.f64 x (sin.f64 y)) 1))
(+.f64 (*.f64 x (sin.f64 y)) 0)
(*.f64 x (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))
(+.f64 1 (-.f64 (*.f64 x (sin.f64 y)) 1))
(+.f64 (*.f64 x (sin.f64 y)) 0)
(*.f64 x (sin.f64 y))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) x)))
(+.f64 1 (-.f64 (*.f64 x (sin.f64 y)) 1))
(+.f64 (*.f64 x (sin.f64 y)) 0)
(*.f64 x (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) x)))
(+.f64 1 (-.f64 (*.f64 x (sin.f64 y)) 1))
(+.f64 (*.f64 x (sin.f64 y)) 0)
(*.f64 x (sin.f64 y))

localize10.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.8%
(*.f64 x (sin.f64 y))
99.3%
(/.f64 1 (/.f64 y (*.f64 x (sin.f64 y))))
89.5%
(/.f64 y (*.f64 x (sin.f64 y)))
Compiler

Compiled 25 to 8 computations (68% saved)

series3.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite94.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1066×log-prod
722×prod-exp
640×pow-prod-down
496×pow-prod-up
458×pow-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01051
120445
2268045
Stop Event
node limit
Counts
3 → 165
Calls
Call 1
Inputs
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 1 (/.f64 y (*.f64 x (sin.f64 y))))
(*.f64 x (sin.f64 y))
Outputs
(+.f64 0 (/.f64 (/.f64 y x) (sin.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 y x) (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 y x) (sin.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 y x) (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 y x) (sin.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 y x) (sin.f64 y)))) 1)
(*.f64 y (/.f64 (/.f64 1 (sin.f64 y)) x))
(*.f64 (/.f64 (/.f64 y x) (sin.f64 y)) 1)
(*.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 y x) (sin.f64 y))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 y x) (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 y x) (sin.f64 y))) 2) (cbrt.f64 (/.f64 (/.f64 y x) (sin.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (/.f64 1 (sin.f64 y)) x)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 y x) (sin.f64 y))) (sqrt.f64 (/.f64 (/.f64 y x) (sin.f64 y))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (/.f64 1 (sin.f64 y)) x)))
(*.f64 (neg.f64 y) (/.f64 1 (*.f64 x (neg.f64 (sin.f64 y)))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 y)) x) y)
(*.f64 (/.f64 y x) (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 x (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 1 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) -2) (/.f64 y (cbrt.f64 (*.f64 x (sin.f64 y)))))
(*.f64 (pow.f64 (*.f64 x (sin.f64 y)) -1/2) (/.f64 y (sqrt.f64 (*.f64 x (sin.f64 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sin.f64 y)) (/.f64 (cbrt.f64 y) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)) (cbrt.f64 (/.f64 (/.f64 y x) (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 x (sin.f64 y)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 x (sin.f64 y)))))
(*.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) (/.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 x (sin.f64 y)))))
(pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 y x) (sin.f64 y))) 3)
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) -3)
(pow.f64 (pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) 3) 1/3)
(pow.f64 (pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) -3) -1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 y x) (sin.f64 y))) 2)
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) -2)
(pow.f64 (/.f64 x (/.f64 y (sin.f64 y))) -1)
(pow.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) 1) -1)
(neg.f64 (/.f64 y (*.f64 x (neg.f64 (sin.f64 y)))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 y x) (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 y x) (sin.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 y x) (sin.f64 y))))
(exp.f64 (log.f64 (/.f64 (/.f64 y x) (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) (sin.f64 y))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) (sin.f64 y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 y x) (sin.f64 y)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (/.f64 y x) (sin.f64 y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 y x) (sin.f64 y)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 y (sin.f64 y)))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) (sin.f64 y))) -1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 1) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (neg.f64 (log.f64 (*.f64 x (sin.f64 y))))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (*.f64 x (sin.f64 y)))) (*.f64 (log.f64 y) 1)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) (sin.f64 y))) -1)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 1)))
(exp.f64 (-.f64 (log.f64 y) (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (log.f64 (*.f64 x (sin.f64 y)))))
(exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1)))
(exp.f64 (-.f64 (log.f64 (/.f64 y x)) (*.f64 (log.f64 (sin.f64 y)) 1)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 y x) (sin.f64 y))))
(+.f64 0 (/.f64 x (/.f64 y (sin.f64 y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (/.f64 y (sin.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (/.f64 y (sin.f64 y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (/.f64 y (sin.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (/.f64 y (sin.f64 y)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 y (sin.f64 y))))) 1)
(*.f64 (*.f64 x (sin.f64 y)) (/.f64 1 y))
(*.f64 1 (/.f64 x (/.f64 y (sin.f64 y))))
(*.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 2) (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))))
(*.f64 (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 y) (*.f64 x (sin.f64 y)))))
(*.f64 (/.f64 x (/.f64 y (sin.f64 y))) 1)
(*.f64 (/.f64 1 y) (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 x 1) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (sin.f64 y) 1) (/.f64 x y))
(*.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (*.f64 x (sin.f64 y)) (cbrt.f64 y)))
(*.f64 (pow.f64 y -1/2) (/.f64 (*.f64 x (sin.f64 y)) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 1) (/.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 y)))
(*.f64 (*.f64 (/.f64 1 y) x) (sin.f64 y))
(*.f64 (*.f64 (/.f64 1 y) (sin.f64 y)) x)
(*.f64 (*.f64 (/.f64 1 y) 1) (*.f64 x (sin.f64 y)))
(*.f64 (*.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)) (cbrt.f64 (*.f64 x (sin.f64 y))))
(*.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (*.f64 x (sin.f64 y)))) (sqrt.f64 (*.f64 x (sin.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 y x) (sin.f64 y))) -2) (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 1 (neg.f64 y)) (*.f64 x (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 1 (/.f64 y x)) (sin.f64 y))
(pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) -1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 y x) (sin.f64 y))) -3)
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) 2) -1/2)
(pow.f64 (pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) 3) -1/3)
(pow.f64 (pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 y x) (sin.f64 y))) -2)
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 2)
(pow.f64 (/.f64 x (/.f64 y (sin.f64 y))) 1)
(pow.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 y 3)) 1/3)
(pow.f64 (neg.f64 (/.f64 (neg.f64 y) (*.f64 x (sin.f64 y)))) -1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 y)) 2)
(sqrt.f64 (pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) -2))
(log.f64 (exp.f64 (/.f64 x (/.f64 y (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 y (sin.f64 y))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) -3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 y (sin.f64 y)))))
(exp.f64 (log.f64 (/.f64 x (/.f64 y (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) (sin.f64 y))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) (sin.f64 y))) 1) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) (sin.f64 y))) -1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 1) 1))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1) (neg.f64 (log.f64 y))))
(exp.f64 (+.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) (sin.f64 y))) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 (/.f64 y x))))
(exp.f64 (-.f64 (log.f64 (*.f64 x (sin.f64 y))) (*.f64 (log.f64 y) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1) (log.f64 y)))
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1) (*.f64 (log.f64 y) 1)))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 y (sin.f64 y)))))
(+.f64 0 (*.f64 x (sin.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) 1)
(/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) x))
(pow.f64 (*.f64 x (sin.f64 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
(pow.f64 (/.f64 (/.f64 1 (sin.f64 y)) x) -1)
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (sin.f64 y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))) 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (sin.f64 y)))) -1))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sin.f64 y)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sin.f64 y))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (sin.f64 y)) 1)))
(exp.f64 (+.f64 (log.f64 (sin.f64 y)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (*.f64 (log.f64 x) 1)))
(exp.f64 (neg.f64 (neg.f64 (log.f64 (*.f64 x (sin.f64 y))))))
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y))))

simplify127.0ms (2%)

Algorithm
egg-herbie
Rules
1058×unswap-sqr
842×distribute-lft-in
584×log-prod
454×exp-prod
426×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04254593
110314491
232464467
Stop Event
node limit
Counts
237 → 230
Calls
Call 1
Inputs
(/.f64 1 x)
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(+.f64 (*.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x)))
(+.f64 (*.f64 31/15120 (/.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
x
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) x)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(+.f64 0 (/.f64 (/.f64 y x) (sin.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 y x) (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 y x) (sin.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 y x) (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 y x) (sin.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 y x) (sin.f64 y)))) 1)
(*.f64 y (/.f64 (/.f64 1 (sin.f64 y)) x))
(*.f64 (/.f64 (/.f64 y x) (sin.f64 y)) 1)
(*.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 y x) (sin.f64 y))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 y x) (sin.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 y x) (sin.f64 y))) 2) (cbrt.f64 (/.f64 (/.f64 y x) (sin.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (/.f64 1 (sin.f64 y)) x)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 y x) (sin.f64 y))) (sqrt.f64 (/.f64 (/.f64 y x) (sin.f64 y))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (/.f64 1 (sin.f64 y)) x)))
(*.f64 (neg.f64 y) (/.f64 1 (*.f64 x (neg.f64 (sin.f64 y)))))
(*.f64 (/.f64 (/.f64 1 (sin.f64 y)) x) y)
(*.f64 (/.f64 y x) (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 x (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 1 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) -2) (/.f64 y (cbrt.f64 (*.f64 x (sin.f64 y)))))
(*.f64 (pow.f64 (*.f64 x (sin.f64 y)) -1/2) (/.f64 y (sqrt.f64 (*.f64 x (sin.f64 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sin.f64 y)) (/.f64 (cbrt.f64 y) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)) (cbrt.f64 (/.f64 (/.f64 y x) (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 x (sin.f64 y)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 x (sin.f64 y)))))
(*.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) (/.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 x (sin.f64 y)))))
(pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 y x) (sin.f64 y))) 3)
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) -3)
(pow.f64 (pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) 3) 1/3)
(pow.f64 (pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) -3) -1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 y x) (sin.f64 y))) 2)
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) -2)
(pow.f64 (/.f64 x (/.f64 y (sin.f64 y))) -1)
(pow.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 x (/.f64 y (sin.f64 y))) 1) -1)
(neg.f64 (/.f64 y (*.f64 x (neg.f64 (sin.f64 y)))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 y x) (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 y x) (sin.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (sin.f64 y)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 y x) (sin.f64 y))))
(exp.f64 (log.f64 (/.f64 (/.f64 y x) (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) (sin.f64 y))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) (sin.f64 y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 y x) (sin.f64 y)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (/.f64 y x) (sin.f64 y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 y x) (sin.f64 y)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 y (sin.f64 y)))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) (sin.f64 y))) -1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 1) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (neg.f64 (log.f64 (*.f64 x (sin.f64 y))))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (*.f64 x (sin.f64 y)))) (*.f64 (log.f64 y) 1)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) (sin.f64 y))) -1)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 1)))
(exp.f64 (-.f64 (log.f64 y) (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (log.f64 (*.f64 x (sin.f64 y)))))
(exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1)))
(exp.f64 (-.f64 (log.f64 (/.f64 y x)) (*.f64 (log.f64 (sin.f64 y)) 1)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 y x) (sin.f64 y))))
(+.f64 0 (/.f64 x (/.f64 y (sin.f64 y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (/.f64 y (sin.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (/.f64 y (sin.f64 y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (/.f64 y (sin.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (/.f64 y (sin.f64 y)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 y (sin.f64 y))))) 1)
(*.f64 (*.f64 x (sin.f64 y)) (/.f64 1 y))
(*.f64 1 (/.f64 x (/.f64 y (sin.f64 y))))
(*.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 2) (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))))
(*.f64 (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 y) (*.f64 x (sin.f64 y)))))
(*.f64 (/.f64 x (/.f64 y (sin.f64 y))) 1)
(*.f64 (/.f64 1 y) (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 x 1) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (sin.f64 y) 1) (/.f64 x y))
(*.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (*.f64 x (sin.f64 y)) (cbrt.f64 y)))
(*.f64 (pow.f64 y -1/2) (/.f64 (*.f64 x (sin.f64 y)) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 1) (/.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 y)))
(*.f64 (*.f64 (/.f64 1 y) x) (sin.f64 y))
(*.f64 (*.f64 (/.f64 1 y) (sin.f64 y)) x)
(*.f64 (*.f64 (/.f64 1 y) 1) (*.f64 x (sin.f64 y)))
(*.f64 (*.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)) (cbrt.f64 (*.f64 x (sin.f64 y))))
(*.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (*.f64 x (sin.f64 y)))) (sqrt.f64 (*.f64 x (sin.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 y x) (sin.f64 y))) -2) (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 1 (neg.f64 y)) (*.f64 x (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 1 (/.f64 y x)) (sin.f64 y))
(pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) -1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 y x) (sin.f64 y))) -3)
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) 2) -1/2)
(pow.f64 (pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) 3) -1/3)
(pow.f64 (pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 y x) (sin.f64 y))) -2)
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 2)
(pow.f64 (/.f64 x (/.f64 y (sin.f64 y))) 1)
(pow.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 y 3)) 1/3)
(pow.f64 (neg.f64 (/.f64 (neg.f64 y) (*.f64 x (sin.f64 y)))) -1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 y)) 2)
(sqrt.f64 (pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) -2))
(log.f64 (exp.f64 (/.f64 x (/.f64 y (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 y (sin.f64 y))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) -3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 y (sin.f64 y)))))
(exp.f64 (log.f64 (/.f64 x (/.f64 y (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) (sin.f64 y))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) (sin.f64 y))) 1) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) (sin.f64 y))) -1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 1) 1))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1) (neg.f64 (log.f64 y))))
(exp.f64 (+.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) (sin.f64 y))) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 (/.f64 y x))))
(exp.f64 (-.f64 (log.f64 (*.f64 x (sin.f64 y))) (*.f64 (log.f64 y) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1) (log.f64 y)))
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1) (*.f64 (log.f64 y) 1)))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 y (sin.f64 y)))))
(+.f64 0 (*.f64 x (sin.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) 1)
(/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) x))
(pow.f64 (*.f64 x (sin.f64 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
(pow.f64 (/.f64 (/.f64 1 (sin.f64 y)) x) -1)
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (sin.f64 y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))) 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (sin.f64 y)))) -1))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sin.f64 y)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sin.f64 y))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (sin.f64 y)) 1)))
(exp.f64 (+.f64 (log.f64 (sin.f64 y)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (*.f64 (log.f64 x) 1)))
(exp.f64 (neg.f64 (neg.f64 (log.f64 (*.f64 x (sin.f64 y))))))
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y))))
Outputs
(/.f64 1 x)
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))
(fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x))
(+.f64 (*.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x)))
(fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x)))
(fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x)))
(+.f64 (*.f64 31/15120 (/.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))))
(fma.f64 31/15120 (/.f64 (pow.f64 y 6) x) (fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))))
(fma.f64 31/15120 (/.f64 (pow.f64 y 6) x) (fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x))))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
x
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) x)
(fma.f64 -1/6 (*.f64 y (*.f64 x y)) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x))
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x))
(fma.f64 -1/6 (*.f64 y (*.f64 x y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x)))
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 6)) x)))
(fma.f64 -1/6 (*.f64 y (*.f64 x y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 6)) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(fma.f64 y x (*.f64 -1/6 (*.f64 x (pow.f64 y 3))))
(*.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (fma.f64 y x (*.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (*.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) x)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (fma.f64 y x (fma.f64 -1/5040 (*.f64 x (pow.f64 y 7)) (*.f64 -1/6 (*.f64 x (pow.f64 y 3))))))
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (fma.f64 x y (*.f64 x (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (*.f64 -1/5040 (pow.f64 y 7))))))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(+.f64 0 (/.f64 (/.f64 y x) (sin.f64 y)))
(/.f64 y (*.f64 x (sin.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 y x) (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 y x) (sin.f64 y))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (*.f64 x (sin.f64 y))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (*.f64 x (sin.f64 y)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (*.f64 x (sin.f64 y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 y x) (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 y x) (sin.f64 y))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (*.f64 x (sin.f64 y)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 y x) (sin.f64 y)))) 1)
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 y (/.f64 (/.f64 1 (sin.f64 y)) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 (/.f64 y x) (sin.f64 y)) 1)
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 y x) (sin.f64 y))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 y x) (sin.f64 y))) 2))
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 y x) (sin.f64 y))) 2) (cbrt.f64 (/.f64 (/.f64 y x) (sin.f64 y))))
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (/.f64 1 (sin.f64 y)) x)))
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 y x) (sin.f64 y))) (sqrt.f64 (/.f64 (/.f64 y x) (sin.f64 y))))
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (/.f64 1 (sin.f64 y)) x)))
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 (neg.f64 y) (/.f64 1 (*.f64 x (neg.f64 (sin.f64 y)))))
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 (/.f64 1 (sin.f64 y)) x) y)
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 y x) (/.f64 1 (sin.f64 y)))
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 x (sin.f64 y))))
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))))
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) (sin.f64 y)))
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(*.f64 x (/.f64 (sin.f64 y) y))
(exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 (/.f64 y x))))
(*.f64 x (/.f64 (sin.f64 y) y))
(exp.f64 (-.f64 (log.f64 (*.f64 x (sin.f64 y))) (*.f64 (log.f64 y) 1)))
(*.f64 x (/.f64 (sin.f64 y) y))
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1) (log.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1) (*.f64 (log.f64 y) 1)))
(*.f64 x (/.f64 (sin.f64 y) y))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 y (sin.f64 y)))))
(*.f64 x (/.f64 (sin.f64 y) y))
(+.f64 0 (*.f64 x (sin.f64 y)))
(*.f64 x (sin.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))))
(*.f64 x (sin.f64 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) 1)
(*.f64 x (sin.f64 y))
(/.f64 1 (/.f64 (/.f64 1 (sin.f64 y)) x))
(*.f64 x (sin.f64 y))
(pow.f64 (*.f64 x (sin.f64 y)) 1)
(*.f64 x (sin.f64 y))
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
(*.f64 x (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) 1/2)
(*.f64 x (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1/3)
(*.f64 x (sin.f64 y))
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
(*.f64 x (sin.f64 y))
(pow.f64 (/.f64 (/.f64 1 (sin.f64 y)) x) -1)
(*.f64 x (sin.f64 y))
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(*.f64 x (sin.f64 y))
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(*.f64 x (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 y)))))
(*.f64 x (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
(*.f64 x (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y))))
(*.f64 x (sin.f64 y))
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(*.f64 x (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1))
(*.f64 x (sin.f64 y))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (sin.f64 y))) 1) 1))
(*.f64 x (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (sin.f64 y)))) 3))
(*.f64 x (sin.f64 y))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (sin.f64 y)))) 1/3))
(*.f64 x (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (sin.f64 y)))) 2))
(*.f64 x (sin.f64 y))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (sin.f64 y)))) -1))
(*.f64 x (sin.f64 y))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sin.f64 y)) 1)))
(*.f64 x (sin.f64 y))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sin.f64 y))))
(*.f64 x (sin.f64 y))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (sin.f64 y)) 1)))
(*.f64 x (sin.f64 y))
(exp.f64 (+.f64 (log.f64 (sin.f64 y)) (*.f64 (log.f64 x) 1)))
(*.f64 x (sin.f64 y))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 x)))
(*.f64 x (sin.f64 y))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (*.f64 (log.f64 x) 1)))
(*.f64 x (sin.f64 y))
(exp.f64 (neg.f64 (neg.f64 (log.f64 (*.f64 x (sin.f64 y))))))
(*.f64 x (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y))))
(*.f64 x (sin.f64 y))

eval222.0ms (3.5%)

Compiler

Compiled 7674 to 3700 computations (51.8% saved)

prune105.0ms (1.7%)

Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New5899598
Fresh112
Picked101
Done055
Total59115606
Accurracy
100.0%
Counts
606 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.6%
(/.f64 (*.f64 (sin.f64 y) x) y)
38.6%
(/.f64 (*.f64 y x) y)
88.8%
(/.f64 (sin.f64 y) (/.f64 y x))
99.8%
(/.f64 x (/.f64 y (sin.f64 y)))
63.0%
(/.f64 x (+.f64 1 (*.f64 1/6 (*.f64 y y))))
38.6%
(/.f64 1 (/.f64 y (*.f64 y x)))
49.1%
(/.f64 1 (/.f64 1 x))
40.6%
(*.f64 (pow.f64 y -1/2) (/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y))))
44.3%
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 (sin.f64 y))))
88.8%
(*.f64 (sin.f64 y) (/.f64 x y))
2.5%
(*.f64 y (*.f64 y (*.f64 -1/6 x)))
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
47.6%
(*.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 y y))))
2.5%
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
49.2%
x
Compiler

Compiled 220 to 148 computations (32.7% saved)

localize22.0ms (0.4%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
89.5%
(/.f64 (sin.f64 y) (/.f64 y x))
Compiler

Compiled 15 to 5 computations (66.7% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite60.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1924×pow1
1776×add-exp-log
1776×log1p-expm1-u
1776×expm1-log1p-u
178×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
116917
2236717
Stop Event
node limit
Counts
1 → 42
Calls
Call 1
Inputs
(/.f64 (sin.f64 y) (/.f64 y x))
Outputs
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) (/.f64 x y))) 1)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(*.f64 1 (*.f64 (sin.f64 y) (/.f64 x y)))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 x y)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 x y)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (/.f64 (neg.f64 y) x)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 y) (/.f64 1 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sin.f64 y) (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) y) (/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 y x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 y x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 y x))))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) 1) x)
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (sin.f64 y) 1) (/.f64 x y))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 x))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2)
(pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) -1)
(neg.f64 (/.f64 (sin.f64 y) (/.f64 (neg.f64 y) x)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 y x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y))))

simplify72.0ms (1.1%)

Algorithm
egg-herbie
Rules
2046×fma-def
1722×log-div
1448×log-prod
1002×associate-*r/
832×associate-*l/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01361340
13561316
211621304
362401298
Stop Event
node limit
Counts
66 → 63
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) (/.f64 x y))) 1)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(*.f64 1 (*.f64 (sin.f64 y) (/.f64 x y)))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 x y)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 x y)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (/.f64 (neg.f64 y) x)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 y) (/.f64 1 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sin.f64 y) (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) y) (/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 y x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 y x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 y x))))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) 1) x)
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (sin.f64 y) 1) (/.f64 x y))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 x))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2)
(pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) -1)
(neg.f64 (/.f64 (sin.f64 y) (/.f64 (neg.f64 y) x)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 y x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
Outputs
x
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) x)
(fma.f64 -1/6 (*.f64 (*.f64 x y) y) x)
(*.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x))
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x))
(fma.f64 -1/6 (*.f64 (*.f64 x y) y) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x))
(fma.f64 x (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) x)
(*.f64 x (fma.f64 1/120 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x)))
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 6)) x)))
(fma.f64 -1/6 (*.f64 (*.f64 x y) y) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 6)) x)))
(fma.f64 x (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) (*.f64 x (fma.f64 -1/5040 (pow.f64 y 6) 1)))
(fma.f64 x (fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (*.f64 -1/5040 (pow.f64 y 6)))) x)
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) (/.f64 x y))) 1)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 1 (*.f64 (sin.f64 y) (/.f64 x y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 x y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 x y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (/.f64 (neg.f64 y) x)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 y) (/.f64 1 x)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sin.f64 y) (cbrt.f64 (/.f64 y x))))
(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))
(/.f64 (sin.f64 y) (*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y x))))
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))
(/.f64 (sin.f64 y) (*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) y) (/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 x)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 y x)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 y x))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y x))))
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))
(/.f64 (sin.f64 y) (*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 x)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y x)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sin.f64 y) (cbrt.f64 (/.f64 y x))))
(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))
(/.f64 (sin.f64 y) (*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (cbrt.f64 (/.f64 y x))))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) 1) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) 1) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 x))
(*.f64 x (/.f64 (sin.f64 y) y))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(*.f64 x (/.f64 (sin.f64 y) y))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 3)
(*.f64 x (/.f64 (sin.f64 y) y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3) 1/3)
(*.f64 x (/.f64 (sin.f64 y) y))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2)
(*.f64 x (/.f64 (sin.f64 y) y))
(pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) -1)
(*.f64 x (/.f64 (sin.f64 y) y))
(neg.f64 (/.f64 (sin.f64 y) (/.f64 (neg.f64 y) x)))
(*.f64 x (/.f64 (sin.f64 y) y))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 2))
(*.f64 x (/.f64 (sin.f64 y) y))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3))
(*.f64 x (/.f64 (sin.f64 y) y))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 y x) 3)))
(*.f64 x (/.f64 (sin.f64 y) y))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 1))
(*.f64 x (/.f64 (sin.f64 y) y))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 x (/.f64 (sin.f64 y) y))

localize5.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
99.7%
(/.f64 1 (/.f64 1 x))
Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite49.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
892×pow1
858×add-sqr-sqrt
842×*-un-lft-identity
822×add-exp-log
822×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061
11251
212451
Stop Event
node limit
Counts
1 → 23
Calls
Call 1
Inputs
(/.f64 1 (/.f64 1 x))
Outputs
(+.f64 0 x)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(-.f64 (+.f64 1 x) 1)
(*.f64 1 x)
(*.f64 x 1)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 -1 (neg.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (pow.f64 x -1/2) -1))
(pow.f64 x 1)
(pow.f64 (/.f64 1 x) -1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (sqrt.f64 x) 2)
(sqrt.f64 (*.f64 x x))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(log1p.f64 (expm1.f64 x))

simplify53.0ms (0.8%)

Algorithm
egg-herbie
Rules
742×log-prod
626×associate-*r*
562×associate-*r/
548×associate-*l*
512×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060117
112191
247273
3316473
Stop Event
node limit
Counts
35 → 28
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 0 x)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(-.f64 (+.f64 1 x) 1)
(*.f64 1 x)
(*.f64 x 1)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 -1 (neg.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (pow.f64 x -1/2) -1))
(pow.f64 x 1)
(pow.f64 (/.f64 1 x) -1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (sqrt.f64 x) 2)
(sqrt.f64 (*.f64 x x))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(log1p.f64 (expm1.f64 x))
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 0 x)
x
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
x
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 x))))
(-.f64 (+.f64 1 x) 1)
x
(*.f64 1 x)
x
(*.f64 x 1)
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 -1 (neg.f64 x))
x
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (/.f64 1 (cbrt.f64 x))))
(/.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (pow.f64 x -1/2) -1))
x
(pow.f64 x 1)
x
(pow.f64 (/.f64 1 x) -1)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(pow.f64 (sqrt.f64 x) 2)
x
(sqrt.f64 (*.f64 x x))
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(exp.f64 (log.f64 x))
x
(log1p.f64 (expm1.f64 x))
x

localize6.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
99.9%
(*.f64 y (*.f64 y x))
99.8%
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
Compiler

Compiled 20 to 7 computations (65% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
0.0ms
x
@inf
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
0.0ms
y
@inf
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
0.0ms
y
@0
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
0.0ms
x
@-inf
(*.f64 y (*.f64 y x))

rewrite70.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1520×pow1
1398×add-exp-log
1398×log1p-expm1-u
1398×expm1-log1p-u
1368×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
116232
2192132
Stop Event
node limit
Counts
2 → 22
Calls
Call 1
Inputs
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 y x))
Outputs
(-.f64 (+.f64 1 (*.f64 -1/6 (*.f64 y (*.f64 y x)))) 1)
(pow.f64 (*.f64 -1/6 (*.f64 y (*.f64 y x))) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 y (*.f64 y x)))) 3)
(pow.f64 (pow.f64 (*.f64 -1/6 (*.f64 y (*.f64 y x))) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -1/6) (*.f64 y (sqrt.f64 x))) 2)
(sqrt.f64 (*.f64 1/36 (pow.f64 (*.f64 y (*.f64 y x)) 2)))
(log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y (*.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (*.f64 y (*.f64 y x))) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y (*.f64 y x)))))
(exp.f64 (log.f64 (*.f64 -1/6 (*.f64 y (*.f64 y x)))))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 y (*.f64 y x)))))
(-.f64 (+.f64 1 (*.f64 y (*.f64 y x))) 1)
(pow.f64 (*.f64 y (*.f64 y x)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 y x))) 3)
(pow.f64 (pow.f64 (*.f64 y (*.f64 y x)) 3) 1/3)
(pow.f64 (*.f64 y (sqrt.f64 x)) 2)
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 y x)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) y))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 y x)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 y x))))
(exp.f64 (log.f64 (*.f64 y (*.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 y x))))

simplify68.0ms (1.1%)

Algorithm
egg-herbie
Rules
2058×log-prod
1336×fma-def
998×log-div
894×fma-neg
752×unswap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0621120
11541120
26791120
325401120
467741120
Stop Event
node limit
Counts
70 → 27
Calls
Call 1
Inputs
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(-.f64 (+.f64 1 (*.f64 -1/6 (*.f64 y (*.f64 y x)))) 1)
(pow.f64 (*.f64 -1/6 (*.f64 y (*.f64 y x))) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 y (*.f64 y x)))) 3)
(pow.f64 (pow.f64 (*.f64 -1/6 (*.f64 y (*.f64 y x))) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -1/6) (*.f64 y (sqrt.f64 x))) 2)
(sqrt.f64 (*.f64 1/36 (pow.f64 (*.f64 y (*.f64 y x)) 2)))
(log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y (*.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (*.f64 y (*.f64 y x))) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y (*.f64 y x)))))
(exp.f64 (log.f64 (*.f64 -1/6 (*.f64 y (*.f64 y x)))))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 y (*.f64 y x)))))
(-.f64 (+.f64 1 (*.f64 y (*.f64 y x))) 1)
(pow.f64 (*.f64 y (*.f64 y x)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 y x))) 3)
(pow.f64 (pow.f64 (*.f64 y (*.f64 y x)) 3) 1/3)
(pow.f64 (*.f64 y (sqrt.f64 x)) 2)
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 y x)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) y))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 y x)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 y x))))
(exp.f64 (log.f64 (*.f64 y (*.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 y x))))
Outputs
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(*.f64 (pow.f64 y 2) x)
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 y (*.f64 y x))
(*.f64 (pow.f64 y 2) x)
(*.f64 y (*.f64 y x))
(-.f64 (+.f64 1 (*.f64 -1/6 (*.f64 y (*.f64 y x)))) 1)
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(pow.f64 (*.f64 -1/6 (*.f64 y (*.f64 y x))) 1)
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 y (*.f64 y x)))) 3)
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(pow.f64 (pow.f64 (*.f64 -1/6 (*.f64 y (*.f64 y x))) 3) 1/3)
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(pow.f64 (*.f64 (sqrt.f64 -1/6) (*.f64 y (sqrt.f64 x))) 2)
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(sqrt.f64 (*.f64 1/36 (pow.f64 (*.f64 y (*.f64 y x)) 2)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y (*.f64 y x))))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (*.f64 y (*.f64 y x))) 3))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y (*.f64 y x)))))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 -1/6 (*.f64 y (*.f64 y x)))))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 y (*.f64 y x)))))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 -1/6 (*.f64 y x)))
(-.f64 (+.f64 1 (*.f64 y (*.f64 y x))) 1)
(*.f64 y (*.f64 y x))
(pow.f64 (*.f64 y (*.f64 y x)) 1)
(*.f64 y (*.f64 y x))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 y x))) 3)
(*.f64 y (*.f64 y x))
(pow.f64 (pow.f64 (*.f64 y (*.f64 y x)) 3) 1/3)
(*.f64 y (*.f64 y x))
(pow.f64 (*.f64 y (sqrt.f64 x)) 2)
(*.f64 y (*.f64 y x))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 y x)) 2))
(*.f64 y (*.f64 y x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) y))
(*.f64 y (*.f64 y x))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 y x)) 3))
(*.f64 y (*.f64 y x))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 y x))))
(*.f64 y (*.f64 y x))
(exp.f64 (log.f64 (*.f64 y (*.f64 y x))))
(*.f64 y (*.f64 y x))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 y x))))
(*.f64 y (*.f64 y x))

localize6.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
99.7%
(/.f64 1 (/.f64 y (*.f64 y x)))
77.2%
(/.f64 y (*.f64 y x))
Compiler

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite70.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1530×pow1
1416×add-exp-log
1416×log1p-expm1-u
1416×expm1-log1p-u
1384×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0832
11678
223078
Stop Event
node limit
Counts
2 → 77
Calls
Call 1
Inputs
(/.f64 y (*.f64 y x))
(/.f64 1 (/.f64 y (*.f64 y x)))
Outputs
(-.f64 (+.f64 1 (pow.f64 x -1)) 1)
(*.f64 y (/.f64 (pow.f64 x -1) y))
(*.f64 (pow.f64 x -1) 1)
(*.f64 1 (pow.f64 x -1))
(*.f64 (cbrt.f64 (pow.f64 x -1)) (pow.f64 (cbrt.f64 (pow.f64 x -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -1)) 2) (cbrt.f64 (pow.f64 x -1)))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (pow.f64 x -1) y)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (pow.f64 x -1) y)))
(*.f64 (neg.f64 y) (/.f64 1 (*.f64 y (neg.f64 x))))
(*.f64 (/.f64 (pow.f64 x -1) y) y)
(*.f64 (/.f64 1 y) (/.f64 y x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 y x)))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 y x)))
(*.f64 (/.f64 (sqrt.f64 y) y) (/.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 y x) 2))) (/.f64 y (cbrt.f64 (*.f64 y x))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 y x))) (/.f64 y (sqrt.f64 (*.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) y) (/.f64 (cbrt.f64 y) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 (*.f64 y x) 2))) (cbrt.f64 (pow.f64 x -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 y x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 y x))))
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) y))
(*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (pow.f64 (*.f64 y x) 2))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 y x))))
(pow.f64 (pow.f64 x -1) 1)
(pow.f64 (cbrt.f64 (pow.f64 x -1)) 3)
(pow.f64 (pow.f64 (pow.f64 x -1) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 x)) 2)
(pow.f64 x -1)
(neg.f64 (/.f64 y (*.f64 y (neg.f64 x))))
(sqrt.f64 (/.f64 (pow.f64 x -1) x))
(log.f64 (exp.f64 (pow.f64 x -1)))
(cbrt.f64 (pow.f64 (pow.f64 x -1) 3))
(expm1.f64 (log1p.f64 (pow.f64 x -1)))
(exp.f64 (neg.f64 (log.f64 x)))
(log1p.f64 (expm1.f64 (pow.f64 x -1)))
(-.f64 (+.f64 1 x) 1)
(*.f64 (*.f64 y x) (/.f64 1 y))
(*.f64 1 x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 -1 (/.f64 1 (/.f64 -1 x)))
(*.f64 x 1)
(*.f64 (/.f64 1 y) (*.f64 y x))
(*.f64 (/.f64 1 y) (pow.f64 (/.f64 (pow.f64 x -1) y) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 x -1)) 2) -1) (pow.f64 (cbrt.f64 (pow.f64 x -1)) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 x)) -1) (pow.f64 (/.f64 1 (sqrt.f64 x)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 y x) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 y x) (sqrt.f64 y)))
(*.f64 (/.f64 y (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 y 1) (/.f64 x y))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 y (sqrt.f64 y)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 y (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y x) 2)) 1) (/.f64 (cbrt.f64 (*.f64 y x)) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y x) 2)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y x) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) 1) (/.f64 (sqrt.f64 (*.f64 y x)) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 y)))
(*.f64 (*.f64 (/.f64 1 y) y) x)
(*.f64 (*.f64 (/.f64 1 y) x) y)
(*.f64 (*.f64 (/.f64 1 y) 1) (*.f64 y x))
(*.f64 (*.f64 (/.f64 1 y) (cbrt.f64 (pow.f64 (*.f64 y x) 2))) (cbrt.f64 (*.f64 y x)))
(*.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)))
(*.f64 (/.f64 1 (neg.f64 y)) (*.f64 y (neg.f64 x)))
(pow.f64 (pow.f64 x -1) -1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 x 1)
(sqrt.f64 (*.f64 x x))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(log1p.f64 (expm1.f64 x))

simplify73.0ms (1.2%)

Algorithm
egg-herbie
Rules
1696×log-prod
1216×fma-neg
916×log-div
874×fma-def
456×exp-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0180793
1457775
22381775
36312775
Stop Event
node limit
Counts
125 → 89
Calls
Call 1
Inputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 (+.f64 1 (pow.f64 x -1)) 1)
(*.f64 y (/.f64 (pow.f64 x -1) y))
(*.f64 (pow.f64 x -1) 1)
(*.f64 1 (pow.f64 x -1))
(*.f64 (cbrt.f64 (pow.f64 x -1)) (pow.f64 (cbrt.f64 (pow.f64 x -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -1)) 2) (cbrt.f64 (pow.f64 x -1)))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (pow.f64 x -1) y)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (pow.f64 x -1) y)))
(*.f64 (neg.f64 y) (/.f64 1 (*.f64 y (neg.f64 x))))
(*.f64 (/.f64 (pow.f64 x -1) y) y)
(*.f64 (/.f64 1 y) (/.f64 y x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 y x)))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 y x)))
(*.f64 (/.f64 (sqrt.f64 y) y) (/.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 y x) 2))) (/.f64 y (cbrt.f64 (*.f64 y x))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 y x))) (/.f64 y (sqrt.f64 (*.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) y) (/.f64 (cbrt.f64 y) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 (*.f64 y x) 2))) (cbrt.f64 (pow.f64 x -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 y x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 y x))))
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) y))
(*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (pow.f64 (*.f64 y x) 2))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 y x))))
(pow.f64 (pow.f64 x -1) 1)
(pow.f64 (cbrt.f64 (pow.f64 x -1)) 3)
(pow.f64 (pow.f64 (pow.f64 x -1) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 x)) 2)
(pow.f64 x -1)
(neg.f64 (/.f64 y (*.f64 y (neg.f64 x))))
(sqrt.f64 (/.f64 (pow.f64 x -1) x))
(log.f64 (exp.f64 (pow.f64 x -1)))
(cbrt.f64 (pow.f64 (pow.f64 x -1) 3))
(expm1.f64 (log1p.f64 (pow.f64 x -1)))
(exp.f64 (neg.f64 (log.f64 x)))
(log1p.f64 (expm1.f64 (pow.f64 x -1)))
(-.f64 (+.f64 1 x) 1)
(*.f64 (*.f64 y x) (/.f64 1 y))
(*.f64 1 x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 -1 (/.f64 1 (/.f64 -1 x)))
(*.f64 x 1)
(*.f64 (/.f64 1 y) (*.f64 y x))
(*.f64 (/.f64 1 y) (pow.f64 (/.f64 (pow.f64 x -1) y) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 x -1)) 2) -1) (pow.f64 (cbrt.f64 (pow.f64 x -1)) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 x)) -1) (pow.f64 (/.f64 1 (sqrt.f64 x)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 y x) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 y x) (sqrt.f64 y)))
(*.f64 (/.f64 y (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 y 1) (/.f64 x y))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 y (sqrt.f64 y)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 y (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y x) 2)) 1) (/.f64 (cbrt.f64 (*.f64 y x)) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y x) 2)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y x) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) 1) (/.f64 (sqrt.f64 (*.f64 y x)) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 y)))
(*.f64 (*.f64 (/.f64 1 y) y) x)
(*.f64 (*.f64 (/.f64 1 y) x) y)
(*.f64 (*.f64 (/.f64 1 y) 1) (*.f64 y x))
(*.f64 (*.f64 (/.f64 1 y) (cbrt.f64 (pow.f64 (*.f64 y x) 2))) (cbrt.f64 (*.f64 y x)))
(*.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)))
(*.f64 (/.f64 1 (neg.f64 y)) (*.f64 y (neg.f64 x)))
(pow.f64 (pow.f64 x -1) -1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 x 1)
(sqrt.f64 (*.f64 x x))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(log1p.f64 (expm1.f64 x))
Outputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 (+.f64 1 (pow.f64 x -1)) 1)
(/.f64 1 x)
(*.f64 y (/.f64 (pow.f64 x -1) y))
(/.f64 1 x)
(*.f64 (pow.f64 x -1) 1)
(/.f64 1 x)
(*.f64 1 (pow.f64 x -1))
(/.f64 1 x)
(*.f64 (cbrt.f64 (pow.f64 x -1)) (pow.f64 (cbrt.f64 (pow.f64 x -1)) 2))
(/.f64 1 x)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -1)) 2) (cbrt.f64 (pow.f64 x -1)))
(/.f64 1 x)
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (pow.f64 x -1) y)))
(/.f64 1 x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(/.f64 1 x)
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (pow.f64 x -1) y)))
(/.f64 1 x)
(*.f64 (neg.f64 y) (/.f64 1 (*.f64 y (neg.f64 x))))
(/.f64 1 x)
(*.f64 (/.f64 (pow.f64 x -1) y) y)
(/.f64 1 x)
(*.f64 (/.f64 1 y) (/.f64 y x))
(/.f64 1 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 y x)))
(/.f64 1 x)
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 y x)))
(/.f64 1 x)
(*.f64 (/.f64 (sqrt.f64 y) y) (/.f64 (sqrt.f64 y) x))
(/.f64 1 x)
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 y x) 2))) (/.f64 y (cbrt.f64 (*.f64 y x))))
(/.f64 (*.f64 1 (/.f64 y (cbrt.f64 (*.f64 x y)))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)))
(/.f64 (/.f64 y (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 y x))) (/.f64 y (sqrt.f64 (*.f64 y x))))
(/.f64 1 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) y) (/.f64 (cbrt.f64 y) x))
(/.f64 1 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) y))
(/.f64 1 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 (*.f64 y x) 2))) (cbrt.f64 (pow.f64 x -1)))
(*.f64 (cbrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 (*.f64 x y) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 y x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 y x))))
(/.f64 1 x)
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) y))
(/.f64 1 x)
(*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (pow.f64 (*.f64 y x) 2))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 y x))))
(/.f64 (*.f64 1 (/.f64 y (cbrt.f64 (*.f64 x y)))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)))
(/.f64 (/.f64 y (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)))
(pow.f64 (pow.f64 x -1) 1)
(/.f64 1 x)
(pow.f64 (cbrt.f64 (pow.f64 x -1)) 3)
(/.f64 1 x)
(pow.f64 (pow.f64 (pow.f64 x -1) 3) 1/3)
(/.f64 1 x)
(pow.f64 (/.f64 1 (sqrt.f64 x)) 2)
(/.f64 1 x)
(pow.f64 x -1)
(/.f64 1 x)
(neg.f64 (/.f64 y (*.f64 y (neg.f64 x))))
(/.f64 1 x)
(sqrt.f64 (/.f64 (pow.f64 x -1) x))
(sqrt.f64 (/.f64 (/.f64 1 x) x))
(sqrt.f64 (pow.f64 x -2))
(log.f64 (exp.f64 (pow.f64 x -1)))
(/.f64 1 x)
(cbrt.f64 (pow.f64 (pow.f64 x -1) 3))
(/.f64 1 x)
(expm1.f64 (log1p.f64 (pow.f64 x -1)))
(/.f64 1 x)
(exp.f64 (neg.f64 (log.f64 x)))
(/.f64 1 x)
(log1p.f64 (expm1.f64 (pow.f64 x -1)))
(/.f64 1 x)
(-.f64 (+.f64 1 x) 1)
x
(*.f64 (*.f64 y x) (/.f64 1 y))
x
(*.f64 1 x)
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 -1 (/.f64 1 (/.f64 -1 x)))
x
(*.f64 x 1)
x
(*.f64 (/.f64 1 y) (*.f64 y x))
x
(*.f64 (/.f64 1 y) (pow.f64 (/.f64 (pow.f64 x -1) y) -1))
x
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 x -1)) 2) -1) (pow.f64 (cbrt.f64 (pow.f64 x -1)) -1))
x
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 x)) -1) (pow.f64 (/.f64 1 (sqrt.f64 x)) -1))
x
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 y x) (cbrt.f64 y)))
x
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 y x) (sqrt.f64 y)))
x
(*.f64 (/.f64 y (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
x
(*.f64 (/.f64 y 1) (/.f64 x y))
x
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
x
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 y (sqrt.f64 y)))
x
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 y (cbrt.f64 y)))
x
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y x) 2)) 1) (/.f64 (cbrt.f64 (*.f64 y x)) y))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (/.f64 (cbrt.f64 (*.f64 x y)) y))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y x) 2)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 y)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (/.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y x) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x y)) (sqrt.f64 y)))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (/.f64 (sqrt.f64 y) (/.f64 (cbrt.f64 (*.f64 x y)) (sqrt.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) 1) (/.f64 (sqrt.f64 (*.f64 y x)) y))
x
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 y)))
x
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 y)))
x
(*.f64 (*.f64 (/.f64 1 y) y) x)
x
(*.f64 (*.f64 (/.f64 1 y) x) y)
x
(*.f64 (*.f64 (/.f64 1 y) 1) (*.f64 y x))
x
(*.f64 (*.f64 (/.f64 1 y) (cbrt.f64 (pow.f64 (*.f64 y x) 2))) (cbrt.f64 (*.f64 y x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (/.f64 (cbrt.f64 (*.f64 x y)) y))
(*.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)))
x
(*.f64 (/.f64 1 (neg.f64 y)) (*.f64 y (neg.f64 x)))
x
(pow.f64 (pow.f64 x -1) -1)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 x 1)
x
(sqrt.f64 (*.f64 x x))
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(exp.f64 (log.f64 x))
x
(log1p.f64 (expm1.f64 x))
x

localize17.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(pow.f64 y -1/2)
99.8%
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
99.8%
(/.f64 (sqrt.f64 y) (sin.f64 y))
97.2%
(*.f64 (pow.f64 y -1/2) (/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y))))
Compiler

Compiled 35 to 12 computations (65.7% saved)

series75.0ms (1.2%)

Counts
4 → 48
Calls

18 calls:

TimeVariablePointExpression
45.0ms
y
@0
(pow.f64 y -1/2)
10.0ms
y
@-inf
(pow.f64 y -1/2)
10.0ms
y
@inf
(pow.f64 y -1/2)
3.0ms
y
@inf
(*.f64 (pow.f64 y -1/2) (/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y))))
1.0ms
y
@-inf
(*.f64 (pow.f64 y -1/2) (/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y))))

rewrite93.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1360×log-prod
820×pow-prod-down
624×pow-prod-up
586×pow-exp
514×pow-unpow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01276
125876
2342572
Stop Event
node limit
Counts
4 → 154
Calls
Call 1
Inputs
(*.f64 (pow.f64 y -1/2) (/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y))))
(/.f64 (sqrt.f64 y) (sin.f64 y))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(pow.f64 y -1/2)
Outputs
(+.f64 0 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y)))))) (cbrt.f64 (exp.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y)))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y))))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y)))))) 1)
(/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) (/.f64 x (sqrt.f64 y))))
(/.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(/.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (/.f64 (neg.f64 (sqrt.f64 y)) (sin.f64 y)))
(/.f64 (*.f64 (pow.f64 y -1/2) (neg.f64 x)) (/.f64 (neg.f64 (sqrt.f64 y)) (sin.f64 y)))
(/.f64 (*.f64 (neg.f64 x) (pow.f64 y -1/2)) (/.f64 (neg.f64 (sqrt.f64 y)) (sin.f64 y)))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) (/.f64 1 (sin.f64 y)))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) 1) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (cbrt.f64 (*.f64 y (pow.f64 (sin.f64 y) -2)))) (cbrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)))) (sqrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))))
(pow.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y))))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y)))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y))))) 2)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) (/.f64 x (sqrt.f64 y))) -1)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y)))) 2))
(log.f64 (exp.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y)))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y)))) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y))))))
(exp.f64 (log.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y)))))) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y))))))
(+.f64 0 (/.f64 (sqrt.f64 y) (sin.f64 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)))) 1)
(*.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) 1)
(*.f64 1 (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (cbrt.f64 y) (*.f64 (pow.f64 y 1/6) (/.f64 1 (sin.f64 y))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))) (cbrt.f64 (*.f64 y (pow.f64 (sin.f64 y) -2))))
(*.f64 (cbrt.f64 (*.f64 y (pow.f64 (sin.f64 y) -2))) (cbrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))))
(*.f64 (pow.f64 y 1/4) (*.f64 (pow.f64 y 1/4) (/.f64 1 (sin.f64 y))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))) (sqrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))))
(*.f64 (neg.f64 (sqrt.f64 y)) (/.f64 1 (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 1 (sin.f64 y)) (sqrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) -2) (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 y))))
(*.f64 (pow.f64 (sin.f64 y) -1/2) (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (cbrt.f64 y) 1) (/.f64 (pow.f64 y 1/6) (sin.f64 y)))
(*.f64 (/.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))))
(*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y))) (/.f64 (pow.f64 y 1/6) (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 y 1/4) 1) (/.f64 (pow.f64 y 1/4) (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 y 1/4) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (pow.f64 y 1/4) (cbrt.f64 (sin.f64 y))))
(pow.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))) 3)
(pow.f64 (*.f64 y (pow.f64 (sin.f64 y) -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))) 2)
(pow.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) -1)
(pow.f64 (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) 1) -1)
(neg.f64 (/.f64 (sqrt.f64 y) (neg.f64 (sin.f64 y))))
(sqrt.f64 (*.f64 y (pow.f64 (sin.f64 y) -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3/2) (pow.f64 (sin.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) -1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))))
(+.f64 0 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x (sqrt.f64 y)))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x (sqrt.f64 y)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x (sqrt.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x (sqrt.f64 y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x (sqrt.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))) 1)
(*.f64 (pow.f64 y -1/2) (/.f64 x (/.f64 1 (sin.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x (sqrt.f64 y)))
(*.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))) 1)
(*.f64 1 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))) -2)) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) (sqrt.f64 y))))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (sin.f64 y) (sqrt.f64 y))))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 (sqrt.f64 y)) (sin.f64 y))))
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) x)
(*.f64 (/.f64 x (sqrt.f64 y)) (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))) -2) (/.f64 x (cbrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) -1/2) (/.f64 x (sqrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (/.f64 (sqrt.f64 y) (sin.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 y (pow.f64 (sin.f64 y) -2)))) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)))))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 x) (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 y) (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y (pow.f64 (sin.f64 y) -2)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)))))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 y)) 1) (sin.f64 y))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 x 1) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 x (neg.f64 (sqrt.f64 y))) (neg.f64 (sin.f64 y)))
(pow.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))) -3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) 2)
(pow.f64 (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))) -1)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))) 1) -1)
(neg.f64 (/.f64 x (/.f64 (neg.f64 (sqrt.f64 y)) (sin.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))) -2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x (sqrt.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))) -3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y)))) -1))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))))
(+.f64 0 (pow.f64 y -1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 y -1/2))) (cbrt.f64 (exp.f64 (pow.f64 y -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y -1/2))) 1)
(*.f64 (pow.f64 y -1/2) 1)
(*.f64 1 (pow.f64 y -1/2))
(*.f64 (pow.f64 y -1/6) (cbrt.f64 (pow.f64 y -1)))
(*.f64 (cbrt.f64 (pow.f64 y -1)) (pow.f64 y -1/6))
(*.f64 (pow.f64 y -1/4) (pow.f64 y -1/4))
(*.f64 (/.f64 1 (cbrt.f64 y)) (pow.f64 y -1/6))
(/.f64 1 (sqrt.f64 y))
(sqrt.f64 (pow.f64 y -1))
(log.f64 (exp.f64 (pow.f64 y -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 y -1/2))))
(cbrt.f64 (pow.f64 y -3/2))
(expm1.f64 (log1p.f64 (pow.f64 y -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 y)))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 y)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 y) 1) -1/2))
(exp.f64 (*.f64 (*.f64 (*.f64 -1/2 (log.f64 y)) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 y -1/6)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 y -3/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) -1/4))
(exp.f64 (*.f64 (log.f64 (pow.f64 y -1/4)) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 y) -1/4) 2))
(log1p.f64 (expm1.f64 (pow.f64 y -1/2)))

simplify89.0ms (1.4%)

Algorithm
egg-herbie
Rules
1382×fma-def
1100×unswap-sqr
764×distribute-lft-in
558×log-prod
394×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04044716
19334536
229864314
Stop Event
node limit
Counts
202 → 224
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) y))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) y))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) y))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x))
(sqrt.f64 (/.f64 1 y))
(sqrt.f64 (/.f64 1 y))
(sqrt.f64 (/.f64 1 y))
(sqrt.f64 (/.f64 1 y))
(sqrt.f64 (/.f64 1 y))
(sqrt.f64 (/.f64 1 y))
(sqrt.f64 (/.f64 1 y))
(sqrt.f64 (/.f64 1 y))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 0 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y)))))) (cbrt.f64 (exp.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y)))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y))))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y)))))) 1)
(/.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) (/.f64 x (sqrt.f64 y))))
(/.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(/.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (/.f64 (neg.f64 (sqrt.f64 y)) (sin.f64 y)))
(/.f64 (*.f64 (pow.f64 y -1/2) (neg.f64 x)) (/.f64 (neg.f64 (sqrt.f64 y)) (sin.f64 y)))
(/.f64 (*.f64 (neg.f64 x) (pow.f64 y -1/2)) (/.f64 (neg.f64 (sqrt.f64 y)) (sin.f64 y)))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) (/.f64 1 (sin.f64 y)))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) 1) (/.f64 (sqrt.f64 y) (sin.f64 y)))
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(pow.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y))))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y)))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y))))) 2)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) (/.f64 x (sqrt.f64 y))) -1)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y)))) 2))
(log.f64 (exp.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y)))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y)))) 3))
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(exp.f64 (log.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y)))))) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y -1) (/.f64 x (/.f64 1 (sin.f64 y))))))
(+.f64 0 (/.f64 (sqrt.f64 y) (sin.f64 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)))) 1)
(*.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) 1)
(*.f64 1 (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (cbrt.f64 y) (*.f64 (pow.f64 y 1/6) (/.f64 1 (sin.f64 y))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))) (cbrt.f64 (*.f64 y (pow.f64 (sin.f64 y) -2))))
(*.f64 (cbrt.f64 (*.f64 y (pow.f64 (sin.f64 y) -2))) (cbrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))))
(*.f64 (pow.f64 y 1/4) (*.f64 (pow.f64 y 1/4) (/.f64 1 (sin.f64 y))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))) (sqrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))))
(*.f64 (neg.f64 (sqrt.f64 y)) (/.f64 1 (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 1 (sin.f64 y)) (sqrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) -2) (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 y))))
(*.f64 (pow.f64 (sin.f64 y) -1/2) (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (cbrt.f64 y) 1) (/.f64 (pow.f64 y 1/6) (sin.f64 y)))
(*.f64 (/.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))))
(*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y))) (/.f64 (pow.f64 y 1/6) (sqrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 y 1/4) 1) (/.f64 (pow.f64 y 1/4) (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 y 1/4) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (pow.f64 y 1/4) (cbrt.f64 (sin.f64 y))))
(pow.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))) 3)
(pow.f64 (*.f64 y (pow.f64 (sin.f64 y) -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))) 2)
(pow.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) -1)
(pow.f64 (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) 1) -1)
(neg.f64 (/.f64 (sqrt.f64 y) (neg.f64 (sin.f64 y))))
(sqrt.f64 (*.f64 y (pow.f64 (sin.f64 y) -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3/2) (pow.f64 (sin.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) -1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))))
(+.f64 0 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x (sqrt.f64 y)))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x (sqrt.f64 y)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x (sqrt.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x (sqrt.f64 y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x (sqrt.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))) 1)
(*.f64 (pow.f64 y -1/2) (/.f64 x (/.f64 1 (sin.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x (sqrt.f64 y)))
(*.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))) 1)
(*.f64 1 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))) -2)) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) (sqrt.f64 y))))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (sin.f64 y) (sqrt.f64 y))))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 (sqrt.f64 y)) (sin.f64 y))))
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) x)
(*.f64 (/.f64 x (sqrt.f64 y)) (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))) -2) (/.f64 x (cbrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) -1/2) (/.f64 x (sqrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (/.f64 (sqrt.f64 y) (sin.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 y (pow.f64 (sin.f64 y) -2)))) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)))))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 x) (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 y) (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y (pow.f64 (sin.f64 y) -2)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)))))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 y)) 1) (sin.f64 y))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 x 1) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 x (neg.f64 (sqrt.f64 y))) (neg.f64 (sin.f64 y)))
(pow.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))) -3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) 2)
(pow.f64 (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))) -1)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))) 1) -1)
(neg.f64 (/.f64 x (/.f64 (neg.f64 (sqrt.f64 y)) (sin.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))) -2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x (sqrt.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))) -3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y)))) -1))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))))
(+.f64 0 (pow.f64 y -1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 y -1/2))) (cbrt.f64 (exp.f64 (pow.f64 y -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y -1/2))) 1)
(*.f64 (pow.f64 y -1/2) 1)
(*.f64 1 (pow.f64 y -1/2))
(*.f64 (pow.f64 y -1/6) (cbrt.f64 (pow.f64 y -1)))
(*.f64 (cbrt.f64 (pow.f64 y -1)) (pow.f64 y -1/6))
(*.f64 (pow.f64 y -1/4) (pow.f64 y -1/4))
(*.f64 (/.f64 1 (cbrt.f64 y)) (pow.f64 y -1/6))
(/.f64 1 (sqrt.f64 y))
(sqrt.f64 (pow.f64 y -1))
(log.f64 (exp.f64 (pow.f64 y -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 y -1/2))))
(cbrt.f64 (pow.f64 y -3/2))
(expm1.f64 (log1p.f64 (pow.f64 y -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 y)))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 y)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 y) 1) -1/2))
(exp.f64 (*.f64 (*.f64 (*.f64 -1/2 (log.f64 y)) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 y -1/6)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 y -3/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) -1/4))
(exp.f64 (*.f64 (log.f64 (pow.f64 y -1/4)) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 y) -1/4) 2))
(log1p.f64 (expm1.f64 (pow.f64 y -1/2)))
Outputs
x
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) x)
(fma.f64 -1/6 (*.f64 (*.f64 x y) y) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x))
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x))
(fma.f64 x (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x)))
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 6)) x)))
(fma.f64 x (fma.f64 1/120 (pow.f64 y 4) (*.f64 -1/5040 (pow.f64 y 6))) (fma.f64 -1/6 (*.f64 (*.f64 x y) y) x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) y))
(neg.f64 (/.f64 (sin.f64 y) (/.f64 y x)))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 y x))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x y))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) y))
(neg.f64 (/.f64 (sin.f64 y) (/.f64 y x)))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 y x))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x y))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) y))
(neg.f64 (/.f64 (sin.f64 y) (/.f64 y x)))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 y x))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x y))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 y) x) y))
(neg.f64 (/.f64 (sin.f64 y) (/.f64 y x)))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 y x))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x (sin.f64 y)))
(*.f64 x (*.f64 (sin.f64 y) (pow.f64 y -1/2)))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x (sin.f64 y)))
(*.f64 x (*.f64 (sin.f64 y) (pow.f64 y -1/2)))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x (sin.f64 y)))
(*.f64 x (*.f64 (sin.f64 y) (pow.f64 y -1/2)))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x (sin.f64 y)))
(*.f64 x (*.f64 (sin.f64 y) (pow.f64 y -1/2)))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x (sin.f64 y)))
(*.f64 x (*.f64 (sin.f64 y) (pow.f64 y -1/2)))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x (sin.f64 y)))
(*.f64 x (*.f64 (sin.f64 y) (pow.f64 y -1/2)))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x (sin.f64 y)))
(*.f64 x (*.f64 (sin.f64 y) (pow.f64 y -1/2)))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x (sin.f64 y)))
(*.f64 x (*.f64 (sin.f64 y) (pow.f64 y -1/2)))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x (sin.f64 y)))
(*.f64 x (*.f64 (sin.f64 y) (pow.f64 y -1/2)))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x (sin.f64 y)))
(*.f64 x (*.f64 (sin.f64 y) (pow.f64 y -1/2)))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x (sin.f64 y)))
(*.f64 x (*.f64 (sin.f64 y) (pow.f64 y -1/2)))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) x))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x (sin.f64 y)))
(*.f64 x (*.f64 (sin.f64 y) (pow.f64 y -1/2)))
(sqrt.f64 (/.f64 1 y))
(pow.f64 y -1/2)
(sqrt.f64 (/.f64 1 y))
(pow.f64 y -1/2)
(sqrt.f64 (/.f64 1 y))
(pow.f64 y -1/2)
(sqrt.f64 (/.f64 1 y))
(pow.f64 y -1/2)
(sqrt.f64 (/.f64 1 y))
(pow.f64 y -1/2)
(sqrt.f64 (/.f64 1 y))
(pow.f64 y -1/2)
(sqrt.f64 (/.f64 1 y))
(pow.f64 y -1/2)
(sqrt.f64 (/.f64 1 y))
(pow.f64 y -1/2)
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(*.f64 (pow.f64 y -1/2) (/.f64 x (/.f64 1 (sin.f64 y))))
(*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x (sin.f64 y)))
(*.f64 x (*.f64 (sin.f64 y) (pow.f64 y -1/2)))
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x (sqrt.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))) 1)
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 1 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))) -2)))
(*.f64 (cbrt.f64 (/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))) -2)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) (cbrt.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))) -2)) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))) -2)))
(*.f64 (cbrt.f64 (/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))) -2)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) (cbrt.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))) 2)))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) (sqrt.f64 y))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (cbrt.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))))
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (sin.f64 y) (sqrt.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 (sqrt.f64 y)) (sin.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) x)
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))) -2) (/.f64 x (cbrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))) -2) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))) x))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) -1/2) (/.f64 x (sqrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (/.f64 1 (sin.f64 y))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (cbrt.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (/.f64 (sqrt.f64 y) (sin.f64 y))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (cbrt.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 y (pow.f64 (sin.f64 y) -2)))) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 y (pow.f64 (sin.f64 y) -2)))))
(*.f64 (cbrt.f64 (/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))) (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 y (pow.f64 (sin.f64 y) -2)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (cbrt.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 x) (/.f64 1 (sin.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 y) (sin.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y (pow.f64 (sin.f64 y) -2)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y (pow.f64 (sin.f64 y) -2)))) (sqrt.f64 x)) (cbrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y))))
(/.f64 (/.f64 x (cbrt.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)))) (cbrt.f64 (*.f64 y (pow.f64 (sin.f64 y) -2))))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 y)) 1) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 x 1) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 x (neg.f64 (sqrt.f64 y))) (neg.f64 (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(pow.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))) 1)
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) 3)
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))) -2) 1/2)
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))) -3) 1/3)
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) 2)
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(pow.f64 (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))) -1)
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))) 1) -1)
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(neg.f64 (/.f64 x (/.f64 (neg.f64 (sqrt.f64 y)) (sin.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))) -2))
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x (sqrt.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))))
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))) -3))
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))))
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(exp.f64 (log.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))))
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) 1))
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))) 1) 1))
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))) 3))
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y))) -3)) 1/3))
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))))) 2))
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 y) (*.f64 x (sin.f64 y)))) -1))
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))))
(*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y)))
(/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))
(+.f64 0 (pow.f64 y -1/2))
(sqrt.f64 (/.f64 1 y))
(pow.f64 y -1/2)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 y -1/2))) (cbrt.f64 (exp.f64 (pow.f64 y -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y -1/2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y -1/2)))))
(fma.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y -1/2)))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 y -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y -1/2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 y -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y -1/2))) 1)
(sqrt.f64 (/.f64 1 y))
(pow.f64 y -1/2)
(*.f64 (pow.f64 y -1/2) 1)
(sqrt.f64 (/.f64 1 y))
(pow.f64 y -1/2)
(*.f64 1 (pow.f64 y -1/2))
(sqrt.f64 (/.f64 1 y))
(pow.f64 y -1/2)
(*.f64 (pow.f64 y -1/6) (cbrt.f64 (pow.f64 y -1)))
(*.f64 (pow.f64 y -1/6) (cbrt.f64 (/.f64 1 y)))
(*.f64 (cbrt.f64 (pow.f64 y -1)) (pow.f64 y -1/6))
(*.f64 (pow.f64 y -1/6) (cbrt.f64 (/.f64 1 y)))
(*.f64 (pow.f64 y -1/4) (pow.f64 y -1/4))
(sqrt.f64 (/.f64 1 y))
(pow.f64 y -1/2)
(*.f64 (/.f64 1 (cbrt.f64 y)) (pow.f64 y -1/6))
(*.f64 (pow.f64 y -1/6) (/.f64 1 (cbrt.f64 y)))
(/.f64 (pow.f64 y -1/6) (cbrt.f64 y))
(/.f64 1 (sqrt.f64 y))
(sqrt.f64 (pow.f64 y -1))
(sqrt.f64 (/.f64 1 y))
(pow.f64 y -1/2)
(log.f64 (exp.f64 (pow.f64 y -1/2)))
(sqrt.f64 (/.f64 1 y))
(pow.f64 y -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 y -1/2))))
(sqrt.f64 (/.f64 1 y))
(pow.f64 y -1/2)
(cbrt.f64 (pow.f64 y -3/2))
(sqrt.f64 (/.f64 1 y))
(pow.f64 y -1/2)
(expm1.f64 (log1p.f64 (pow.f64 y -1/2)))
(sqrt.f64 (/.f64 1 y))
(pow.f64 y -1/2)
(exp.f64 (*.f64 -1/2 (log.f64 y)))
(sqrt.f64 (/.f64 1 y))
(pow.f64 y -1/2)
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 y)) 1))
(sqrt.f64 (/.f64 1 y))
(pow.f64 y -1/2)
(exp.f64 (*.f64 (*.f64 (log.f64 y) 1) -1/2))
(sqrt.f64 (/.f64 1 y))
(pow.f64 y -1/2)
(exp.f64 (*.f64 (*.f64 (*.f64 -1/2 (log.f64 y)) 1) 1))
(sqrt.f64 (/.f64 1 y))
(pow.f64 y -1/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 y -1/6)) 3))
(sqrt.f64 (/.f64 1 y))
(pow.f64 y -1/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 y -3/2)) 1/3))
(sqrt.f64 (/.f64 1 y))
(pow.f64 y -1/2)
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) -1/4))
(sqrt.f64 (/.f64 1 y))
(pow.f64 y -1/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 y -1/4)) 2))
(sqrt.f64 (/.f64 1 y))
(pow.f64 y -1/2)
(exp.f64 (*.f64 (*.f64 (log.f64 y) -1/4) 2))
(sqrt.f64 (/.f64 1 y))
(pow.f64 y -1/2)
(log1p.f64 (expm1.f64 (pow.f64 y -1/2)))
(sqrt.f64 (/.f64 1 y))
(pow.f64 y -1/2)

eval107.0ms (1.7%)

Compiler

Compiled 5590 to 2551 computations (54.4% saved)

prune127.0ms (2%)

Pruning

22 alts after pruning (13 fresh and 9 done)

PrunedKeptTotal
New4238431
Fresh055
Picked101
Done099
Total42422446
Accurracy
100.0%
Counts
446 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.6%
(/.f64 (*.f64 (sin.f64 y) x) y)
38.6%
(/.f64 (*.f64 y x) y)
88.8%
(/.f64 (sin.f64 y) (/.f64 y x))
99.8%
(/.f64 x (/.f64 y (sin.f64 y)))
63.0%
(/.f64 x (+.f64 1 (*.f64 1/6 (*.f64 y y))))
38.6%
(/.f64 1 (/.f64 y (*.f64 y x)))
49.1%
(/.f64 1 (/.f64 1 x))
51.6%
(/.f64 1 (*.f64 (/.f64 1 y) (/.f64 y x)))
39.4%
(-.f64 (+.f64 1 x) 1)
44.3%
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 (sin.f64 y))))
51.0%
(*.f64 (/.f64 y 1) (/.f64 x y))
89.3%
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 y) (/.f64 1 x)))
38.5%
(*.f64 (/.f64 1 y) (*.f64 y x))
49.1%
(*.f64 (*.f64 (/.f64 1 y) y) x)
51.0%
(*.f64 (*.f64 (/.f64 1 y) x) y)
88.8%
(*.f64 (sin.f64 y) (/.f64 x y))
2.5%
(*.f64 y (*.f64 y (*.f64 -1/6 x)))
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
47.6%
(*.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 y y))))
2.5%
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
25.1%
(sqrt.f64 (*.f64 x x))
49.2%
x
Compiler

Compiled 305 to 209 computations (31.5% saved)

localize13.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
99.5%
(/.f64 (sin.f64 y) (/.f64 1 x))
89.4%
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 y) (/.f64 1 x)))
Compiler

Compiled 29 to 17 computations (41.4% saved)

series1.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite78.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1162×log-prod
802×pow-prod-down
558×pow-prod-up
526×pow-exp
402×expm1-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01140
123128
2311328
Stop Event
node limit
Counts
2 → 112
Calls
Call 1
Inputs
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 y) (/.f64 1 x)))
(/.f64 (sin.f64 y) (/.f64 1 x))
Outputs
(+.f64 0 (*.f64 (sin.f64 y) (/.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) 1)
(/.f64 1 (*.f64 y (/.f64 (/.f64 1 x) (sin.f64 y))))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 x) (sin.f64 y)) y))
(/.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))
(/.f64 1 (/.f64 (/.f64 1 x) (/.f64 (sin.f64 y) y)))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2)) (/.f64 y (cbrt.f64 (*.f64 (sin.f64 y) x))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (/.f64 (/.f64 y x) (cbrt.f64 (sin.f64 y))))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (/.f64 y (sqrt.f64 (*.f64 (sin.f64 y) x))))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (/.f64 y x) (sqrt.f64 (sin.f64 y))))
(/.f64 -1 (*.f64 (neg.f64 y) (/.f64 (/.f64 1 x) (sin.f64 y))))
(/.f64 -1 (*.f64 (/.f64 (/.f64 1 x) (sin.f64 y)) (neg.f64 y)))
(/.f64 (neg.f64 (sin.f64 y)) (*.f64 y (/.f64 -1 x)))
(/.f64 (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 y) (/.f64 1 x)))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (/.f64 y x)))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 1 x))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) 1) (*.f64 (/.f64 -1 x) y))
(/.f64 (*.f64 -1 (neg.f64 (sin.f64 y))) (*.f64 (neg.f64 y) (/.f64 -1 x)))
(/.f64 (*.f64 (sin.f64 y) -1) (*.f64 (/.f64 1 x) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) -1) (*.f64 (/.f64 -1 x) (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (/.f64 -1 x))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 1 y) (neg.f64 (sin.f64 y))) (/.f64 -1 x))
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) -1) (neg.f64 y))
(/.f64 (*.f64 -1 (*.f64 (sin.f64 y) x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 y)) (/.f64 -1 x))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (sin.f64 y) y) 1) (/.f64 1 x))
(/.f64 (/.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) y) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2)
(pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 y 3)) 1/3)
(pow.f64 (*.f64 y (/.f64 (/.f64 1 x) (sin.f64 y))) -1)
(pow.f64 (*.f64 (/.f64 (/.f64 1 x) (sin.f64 y)) y) -1)
(pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) -1)
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) -1)
(pow.f64 (/.f64 (/.f64 1 x) (/.f64 (sin.f64 y) y)) -1)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(+.f64 0 (*.f64 (sin.f64 y) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) 1)
(*.f64 1 (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (*.f64 (sin.f64 y) x) 1)
(*.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2)) (cbrt.f64 (*.f64 (sin.f64 y) x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (*.f64 (cbrt.f64 (sin.f64 y)) x))
(*.f64 (sqrt.f64 x) (/.f64 (sin.f64 y) (pow.f64 x -1/2)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)))
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) x))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (/.f64 -1 x)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 (sin.f64 y) (cbrt.f64 (/.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) 1) (/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (*.f64 (sin.f64 y) x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (pow.f64 x -1/2)) (/.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 x -1/2)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (pow.f64 x -2))) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 (sin.f64 y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(*.f64 (*.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (sin.f64 y) -1) (neg.f64 x))
(pow.f64 (*.f64 (sin.f64 y) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
(pow.f64 (/.f64 (/.f64 1 x) (sin.f64 y)) -1)
(pow.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x -3)) 1/3)
(pow.f64 (/.f64 (/.f64 (/.f64 1 x) (sin.f64 y)) 1) -1)
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) 1/3)
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (sin.f64 y))) 3)
(pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 y))) 2)
(neg.f64 (/.f64 (sin.f64 y) (/.f64 -1 x)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) x))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x -3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 y) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sin.f64 y) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 y) x))) 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 y) x))) -1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) x)))

simplify64.0ms (1%)

Algorithm
egg-herbie
Rules
1934×fma-def
694×distribute-lft-in
656×distribute-rgt-in
566×log-prod
392×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03072950
17752870
226812840
Stop Event
node limit
Counts
160 → 155
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) x)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(+.f64 0 (*.f64 (sin.f64 y) (/.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) 1)
(/.f64 1 (*.f64 y (/.f64 (/.f64 1 x) (sin.f64 y))))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 x) (sin.f64 y)) y))
(/.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))
(/.f64 1 (/.f64 (/.f64 1 x) (/.f64 (sin.f64 y) y)))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2)) (/.f64 y (cbrt.f64 (*.f64 (sin.f64 y) x))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (/.f64 (/.f64 y x) (cbrt.f64 (sin.f64 y))))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (/.f64 y (sqrt.f64 (*.f64 (sin.f64 y) x))))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (/.f64 y x) (sqrt.f64 (sin.f64 y))))
(/.f64 -1 (*.f64 (neg.f64 y) (/.f64 (/.f64 1 x) (sin.f64 y))))
(/.f64 -1 (*.f64 (/.f64 (/.f64 1 x) (sin.f64 y)) (neg.f64 y)))
(/.f64 (neg.f64 (sin.f64 y)) (*.f64 y (/.f64 -1 x)))
(/.f64 (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 y) (/.f64 1 x)))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (/.f64 y x)))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 1 x))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) 1) (*.f64 (/.f64 -1 x) y))
(/.f64 (*.f64 -1 (neg.f64 (sin.f64 y))) (*.f64 (neg.f64 y) (/.f64 -1 x)))
(/.f64 (*.f64 (sin.f64 y) -1) (*.f64 (/.f64 1 x) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) -1) (*.f64 (/.f64 -1 x) (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (/.f64 -1 x))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 1 y) (neg.f64 (sin.f64 y))) (/.f64 -1 x))
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) -1) (neg.f64 y))
(/.f64 (*.f64 -1 (*.f64 (sin.f64 y) x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 y)) (/.f64 -1 x))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (sin.f64 y) y) 1) (/.f64 1 x))
(/.f64 (/.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) y) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2)
(pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 y 3)) 1/3)
(pow.f64 (*.f64 y (/.f64 (/.f64 1 x) (sin.f64 y))) -1)
(pow.f64 (*.f64 (/.f64 (/.f64 1 x) (sin.f64 y)) y) -1)
(pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) -1)
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) -1)
(pow.f64 (/.f64 (/.f64 1 x) (/.f64 (sin.f64 y) y)) -1)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(+.f64 0 (*.f64 (sin.f64 y) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) 1)
(*.f64 1 (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (*.f64 (sin.f64 y) x) 1)
(*.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2)) (cbrt.f64 (*.f64 (sin.f64 y) x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (*.f64 (cbrt.f64 (sin.f64 y)) x))
(*.f64 (sqrt.f64 x) (/.f64 (sin.f64 y) (pow.f64 x -1/2)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)))
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) x))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (/.f64 -1 x)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 (sin.f64 y) (cbrt.f64 (/.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) 1) (/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (*.f64 (sin.f64 y) x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (pow.f64 x -1/2)) (/.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 x -1/2)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (pow.f64 x -2))) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 1 x))))
(*.f64 (*.f64 (sin.f64 y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(*.f64 (*.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (sin.f64 y) -1) (neg.f64 x))
(pow.f64 (*.f64 (sin.f64 y) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
(pow.f64 (/.f64 (/.f64 1 x) (sin.f64 y)) -1)
(pow.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x -3)) 1/3)
(pow.f64 (/.f64 (/.f64 (/.f64 1 x) (sin.f64 y)) 1) -1)
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) 1/3)
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (sin.f64 y))) 3)
(pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 y))) 2)
(neg.f64 (/.f64 (sin.f64 y) (/.f64 -1 x)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) x))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x -3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 y) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sin.f64 y) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 y) x))) 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 y) x))) -1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) x)))
Outputs
x
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) x)
(*.f64 (fma.f64 (*.f64 -1/6 y) y 1) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x))
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x))
(fma.f64 x (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)) x)))
(fma.f64 -1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 6)) x)))
(fma.f64 x (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) (*.f64 (fma.f64 -1/5040 (pow.f64 y 6) 1) x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(fma.f64 y x (*.f64 -1/6 (*.f64 x (pow.f64 y 3))))
(*.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (fma.f64 y x (*.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (*.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(fma.f64 x (*.f64 1/120 (pow.f64 y 5)) (*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y)))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) x)) (+.f64 (*.f64 y x) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) x)) (*.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (fma.f64 y x (fma.f64 -1/5040 (*.f64 x (pow.f64 y 7)) (*.f64 -1/6 (*.f64 x (pow.f64 y 3))))))
(fma.f64 1/120 (*.f64 x (pow.f64 y 5)) (fma.f64 x y (*.f64 x (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (*.f64 -1/5040 (pow.f64 y 7))))))
(fma.f64 x (fma.f64 -1/6 (pow.f64 y 3) (*.f64 -1/5040 (pow.f64 y 7))) (*.f64 x (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(+.f64 0 (*.f64 (sin.f64 y) (/.f64 x y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y)))))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) 1)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 1 (*.f64 y (/.f64 (/.f64 1 x) (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 x) (sin.f64 y)) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 1 (/.f64 (/.f64 1 x) (/.f64 (sin.f64 y) y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2)) (/.f64 y (cbrt.f64 (*.f64 (sin.f64 y) x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2)) y) (cbrt.f64 (*.f64 x (sin.f64 y))))
(*.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2)) y))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (/.f64 (/.f64 y x) (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (/.f64 y x)) (cbrt.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (/.f64 y x)))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (/.f64 y (sqrt.f64 (*.f64 (sin.f64 y) x))))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (/.f64 y x) (sqrt.f64 (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 -1 (*.f64 (neg.f64 y) (/.f64 (/.f64 1 x) (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 -1 (*.f64 (/.f64 (/.f64 1 x) (sin.f64 y)) (neg.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (neg.f64 (sin.f64 y)) (*.f64 y (/.f64 -1 x)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 y) (/.f64 1 x)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (/.f64 y x)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 1 x))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) 1) (*.f64 (/.f64 -1 x) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 -1 (neg.f64 (sin.f64 y))) (*.f64 (neg.f64 y) (/.f64 -1 x)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) -1) (*.f64 (/.f64 1 x) (neg.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) -1) (*.f64 (/.f64 -1 x) (neg.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (neg.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (/.f64 -1 x))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (/.f64 1 y) (neg.f64 (sin.f64 y))) (/.f64 -1 x))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) -1) (neg.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 -1 (*.f64 (sin.f64 y) x)) (neg.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 y)) (/.f64 -1 x))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y))))
(*.f64 (/.f64 x (cbrt.f64 y)) (/.f64 (sin.f64 y) (cbrt.f64 (*.f64 y y))))
(/.f64 (/.f64 (/.f64 (sin.f64 y) y) 1) (/.f64 1 x))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (/.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)))
(/.f64 (/.f64 (sin.f64 y) (*.f64 (cbrt.f64 (pow.f64 x -2)) y)) (cbrt.f64 (/.f64 1 x)))
(/.f64 (/.f64 (sin.f64 y) (*.f64 y (cbrt.f64 (pow.f64 x -2)))) (cbrt.f64 (/.f64 1 x)))
(/.f64 (sin.f64 y) (*.f64 (cbrt.f64 (/.f64 1 x)) (*.f64 y (cbrt.f64 (pow.f64 x -2)))))
(/.f64 (/.f64 (/.f64 (sin.f64 y) y) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 3)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 2) 1/2)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3) 1/3)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 y 3)) 1/3)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(pow.f64 (*.f64 y (/.f64 (/.f64 1 x) (sin.f64 y))) -1)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(pow.f64 (*.f64 (/.f64 (/.f64 1 x) (sin.f64 y)) y) -1)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) -1)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) -1)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(pow.f64 (/.f64 (/.f64 1 x) (/.f64 (sin.f64 y) y)) -1)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 2))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y)))))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 y 3)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 1))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 1) 1))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) 3))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) 1/3))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) 2))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(+.f64 0 (*.f64 (sin.f64 y) x))
(*.f64 x (sin.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))))
(*.f64 x (sin.f64 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) 1)
(*.f64 x (sin.f64 y))
(*.f64 1 (*.f64 (sin.f64 y) x))
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 (*.f64 (sin.f64 y) x) 1)
(*.f64 x (sin.f64 y))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2)) (cbrt.f64 (*.f64 x (sin.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2)) (cbrt.f64 (*.f64 (sin.f64 y) x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2)) (cbrt.f64 (*.f64 x (sin.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (*.f64 (cbrt.f64 (sin.f64 y)) x))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (*.f64 x (cbrt.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (sin.f64 y)) (*.f64 x (cbrt.f64 (pow.f64 (sin.f64 y) 2))))
(*.f64 (sqrt.f64 x) (/.f64 (sin.f64 y) (pow.f64 x -1/2)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)))
(*.f64 x (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) x))
(*.f64 x (sin.f64 y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (/.f64 -1 x)))
(*.f64 x (sin.f64 y))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 (sin.f64 y) (cbrt.f64 (/.f64 1 x))))
(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) 1) (/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (*.f64 x (cbrt.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (sin.f64 y)) (*.f64 x (cbrt.f64 (pow.f64 (sin.f64 y) 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (*.f64 (sin.f64 y) x)))
(*.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (cbrt.f64 (pow.f64 x -2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (pow.f64 x -1/2)) (/.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 x -1/2)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 x)))
(*.f64 x (sin.f64 y))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (pow.f64 x -2))) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 1 x))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 (sin.f64 y) (cbrt.f64 (/.f64 1 x))))
(/.f64 (/.f64 (sin.f64 y) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (*.f64 (sin.f64 y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(*.f64 (sin.f64 y) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(*.f64 (*.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) -1) (neg.f64 x))
(*.f64 x (sin.f64 y))
(pow.f64 (*.f64 (sin.f64 y) x) 1)
(*.f64 x (sin.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
(*.f64 x (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) 1/2)
(*.f64 x (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) 1/3)
(*.f64 x (sin.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
(*.f64 x (sin.f64 y))
(pow.f64 (/.f64 (/.f64 1 x) (sin.f64 y)) -1)
(*.f64 x (sin.f64 y))
(pow.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x -3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x -3)))
(pow.f64 (/.f64 (/.f64 (/.f64 1 x) (sin.f64 y)) 1) -1)
(*.f64 x (sin.f64 y))
(pow.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)) 1/3)
(*.f64 x (sin.f64 y))
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (sin.f64 y))) 3)
(*.f64 x (sin.f64 y))
(pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)) 1/3)
(*.f64 x (sin.f64 y))
(pow.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 y))) 2)
(*.f64 x (sin.f64 y))
(neg.f64 (/.f64 (sin.f64 y) (/.f64 -1 x)))
(*.f64 x (sin.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(*.f64 x (sin.f64 y))
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(*.f64 x (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) x))))
(*.f64 x (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(*.f64 x (sin.f64 y))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x -3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))
(*.f64 x (sin.f64 y))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) x)))
(*.f64 x (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) x)) 1))
(*.f64 x (sin.f64 y))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) x)) 1) 1))
(*.f64 x (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 y) x))) 3))
(*.f64 x (sin.f64 y))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sin.f64 y) x))) 1/3))
(*.f64 x (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 y) x))) 2))
(*.f64 x (sin.f64 y))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 y) x))) -1))
(*.f64 x (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) x)))
(*.f64 x (sin.f64 y))

localize5.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
93.3%
(-.f64 (+.f64 1 x) 1)
Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite62.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1304×pow1
1220×add-exp-log
1220×log1p-expm1-u
1220×expm1-log1p-u
1206×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0613
11351
219141
Stop Event
node limit
Counts
1 → 37
Calls
Call 1
Inputs
(-.f64 (+.f64 1 x) 1)
Outputs
(+.f64 1 (+.f64 x -1))
(+.f64 1 (*.f64 (+.f64 x -1) 1))
(+.f64 x 0)
(+.f64 (+.f64 1 x) -1)
(+.f64 -1 (+.f64 1 x))
(+.f64 (+.f64 x -1) 1)
(*.f64 1 x)
(*.f64 x 1)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 1 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(/.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 1 x) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))
(pow.f64 x 1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (sqrt.f64 x) 2)
(sqrt.f64 (*.f64 x x))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(log1p.f64 (expm1.f64 x))
(fma.f64 1 (+.f64 1 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1)
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1)

simplify44.0ms (0.7%)

Algorithm
egg-herbie
Rules
1914×fma-def
1360×distribute-lft-in
1268×distribute-rgt-in
740×times-frac
666×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
090421
1225379
21106363
Stop Event
node limit
Counts
49 → 45
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 1 (+.f64 x -1))
(+.f64 1 (*.f64 (+.f64 x -1) 1))
(+.f64 x 0)
(+.f64 (+.f64 1 x) -1)
(+.f64 -1 (+.f64 1 x))
(+.f64 (+.f64 x -1) 1)
(*.f64 1 x)
(*.f64 x 1)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 1 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(/.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 1 x) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))
(pow.f64 x 1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (sqrt.f64 x) 2)
(sqrt.f64 (*.f64 x x))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(log1p.f64 (expm1.f64 x))
(fma.f64 1 (+.f64 1 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1)
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1)
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 1 (+.f64 x -1))
x
(+.f64 1 (*.f64 (+.f64 x -1) 1))
x
(+.f64 x 0)
x
(+.f64 (+.f64 1 x) -1)
x
(+.f64 -1 (+.f64 1 x))
x
(+.f64 (+.f64 x -1) 1)
x
(*.f64 1 x)
x
(*.f64 x 1)
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
x
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
x
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 1 x) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
x
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
x
(/.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 1 x) -1))
x
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))
x
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (-.f64 2 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (fma.f64 (+.f64 x -1) (+.f64 x -2) 1))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 (-.f64 1 x) -1))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 2 x))
(/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x))
(pow.f64 x 1)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(pow.f64 (sqrt.f64 x) 2)
x
(sqrt.f64 (*.f64 x x))
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(exp.f64 (log.f64 x))
x
(log1p.f64 (expm1.f64 x))
x
(fma.f64 1 (+.f64 1 x) -1)
x
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1)
x
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1)
x

localize8.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.8%
(*.f64 y (*.f64 y (*.f64 -1/6 x)))
99.8%
(*.f64 y (*.f64 -1/6 x))
99.5%
(*.f64 -1/6 x)
Compiler

Compiled 20 to 12 computations (40% saved)

series3.0ms (0.1%)

Counts
3 → 48
Calls

15 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 y (*.f64 -1/6 x))
0.0ms
y
@inf
(*.f64 y (*.f64 -1/6 x))
0.0ms
x
@-inf
(*.f64 -1/6 x)
0.0ms
x
@0
(*.f64 y (*.f64 -1/6 x))
0.0ms
y
@0
(*.f64 y (*.f64 -1/6 x))

rewrite66.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1518×pow1
1396×add-exp-log
1396×log1p-expm1-u
1396×expm1-log1p-u
1366×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0839
116239
2191939
Stop Event
node limit
Counts
3 → 33
Calls
Call 1
Inputs
(*.f64 -1/6 x)
(*.f64 y (*.f64 -1/6 x))
(*.f64 y (*.f64 y (*.f64 -1/6 x)))
Outputs
(-.f64 (+.f64 1 (*.f64 -1/6 x)) 1)
(pow.f64 (*.f64 -1/6 x) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/6 x)) 3)
(pow.f64 (pow.f64 (*.f64 -1/6 x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -1/6 x)) 2)
(sqrt.f64 (*.f64 1/36 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 -1/6) x))
(cbrt.f64 (pow.f64 (*.f64 -1/6 x) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 x)))
(exp.f64 (log.f64 (*.f64 -1/6 x)))
(log1p.f64 (expm1.f64 (*.f64 -1/6 x)))
(-.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x y))) 1)
(pow.f64 (*.f64 -1/6 (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 -1/6 (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -1/6 (*.f64 x y))) 2)
(sqrt.f64 (pow.f64 (*.f64 -1/6 (*.f64 x y)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 -1/6) x) y))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 x y))))
(exp.f64 (log.f64 (*.f64 -1/6 (*.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 x y))))
(-.f64 (+.f64 1 (*.f64 (*.f64 -1/6 y) (*.f64 x y))) 1)
(pow.f64 (*.f64 (*.f64 -1/6 y) (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 -1/6 y) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 -1/6 y) (*.f64 x y)) 3) 1/3)
(pow.f64 (*.f64 y (sqrt.f64 (*.f64 -1/6 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 (*.f64 -1/6 y) (*.f64 x y)) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 y y)) (*.f64 -1/6 x)))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 -1/6 y) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 -1/6 y) (*.f64 x y))))
(exp.f64 (log.f64 (*.f64 (*.f64 -1/6 y) (*.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 -1/6 y) (*.f64 x y))))

simplify74.0ms (1.2%)

Algorithm
egg-herbie
Rules
1434×log-prod
1314×fma-neg
952×unswap-sqr
726×cube-prod
622×exp-sum
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0851329
12111263
28721197
334681197
468251197
Stop Event
node limit
Counts
81 → 42
Calls
Call 1
Inputs
(*.f64 -1/6 (*.f64 y x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(-.f64 (+.f64 1 (*.f64 -1/6 x)) 1)
(pow.f64 (*.f64 -1/6 x) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/6 x)) 3)
(pow.f64 (pow.f64 (*.f64 -1/6 x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -1/6 x)) 2)
(sqrt.f64 (*.f64 1/36 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 -1/6) x))
(cbrt.f64 (pow.f64 (*.f64 -1/6 x) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 x)))
(exp.f64 (log.f64 (*.f64 -1/6 x)))
(log1p.f64 (expm1.f64 (*.f64 -1/6 x)))
(-.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x y))) 1)
(pow.f64 (*.f64 -1/6 (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 -1/6 (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -1/6 (*.f64 x y))) 2)
(sqrt.f64 (pow.f64 (*.f64 -1/6 (*.f64 x y)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 -1/6) x) y))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 x y))))
(exp.f64 (log.f64 (*.f64 -1/6 (*.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 x y))))
(-.f64 (+.f64 1 (*.f64 (*.f64 -1/6 y) (*.f64 x y))) 1)
(pow.f64 (*.f64 (*.f64 -1/6 y) (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 -1/6 y) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 -1/6 y) (*.f64 x y)) 3) 1/3)
(pow.f64 (*.f64 y (sqrt.f64 (*.f64 -1/6 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 (*.f64 -1/6 y) (*.f64 x y)) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 y y)) (*.f64 -1/6 x)))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 -1/6 y) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 -1/6 y) (*.f64 x y))))
(exp.f64 (log.f64 (*.f64 (*.f64 -1/6 y) (*.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 -1/6 y) (*.f64 x y))))
Outputs
(*.f64 -1/6 (*.f64 y x))
(*.f64 (*.f64 -1/6 x) y)
(*.f64 y (*.f64 -1/6 x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 (*.f64 -1/6 x) y)
(*.f64 y (*.f64 -1/6 x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 (*.f64 -1/6 x) y)
(*.f64 y (*.f64 -1/6 x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 (*.f64 -1/6 x) y)
(*.f64 y (*.f64 -1/6 x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 (*.f64 -1/6 x) y)
(*.f64 y (*.f64 -1/6 x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 (*.f64 -1/6 x) y)
(*.f64 y (*.f64 -1/6 x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 (*.f64 -1/6 x) y)
(*.f64 y (*.f64 -1/6 x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 (*.f64 -1/6 x) y)
(*.f64 y (*.f64 -1/6 x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 (*.f64 -1/6 x) y)
(*.f64 y (*.f64 -1/6 x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 (*.f64 -1/6 x) y)
(*.f64 y (*.f64 -1/6 x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 (*.f64 -1/6 x) y)
(*.f64 y (*.f64 -1/6 x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 (*.f64 -1/6 x) y)
(*.f64 y (*.f64 -1/6 x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 (*.f64 -1/6 x) y)
(*.f64 y (*.f64 -1/6 x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 (*.f64 -1/6 x) y)
(*.f64 y (*.f64 -1/6 x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 (*.f64 -1/6 x) y)
(*.f64 y (*.f64 -1/6 x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 (*.f64 -1/6 x) y)
(*.f64 y (*.f64 -1/6 x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 (*.f64 -1/6 x) y)
(*.f64 y (*.f64 -1/6 x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 (*.f64 -1/6 x) y)
(*.f64 y (*.f64 -1/6 x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 (*.f64 -1/6 x) y)
(*.f64 y (*.f64 -1/6 x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 (*.f64 -1/6 x) y)
(*.f64 y (*.f64 -1/6 x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 (*.f64 -1/6 x) y)
(*.f64 y (*.f64 -1/6 x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 (*.f64 -1/6 x) y)
(*.f64 y (*.f64 -1/6 x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 (*.f64 -1/6 x) y)
(*.f64 y (*.f64 -1/6 x))
(*.f64 -1/6 (*.f64 y x))
(*.f64 (*.f64 -1/6 x) y)
(*.f64 y (*.f64 -1/6 x))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 -1/6 (*.f64 (pow.f64 y 2) x))
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(-.f64 (+.f64 1 (*.f64 -1/6 x)) 1)
(+.f64 1 (-.f64 (*.f64 -1/6 x) 1))
(+.f64 (*.f64 -1/6 x) 0)
(*.f64 -1/6 x)
(pow.f64 (*.f64 -1/6 x) 1)
(+.f64 1 (-.f64 (*.f64 -1/6 x) 1))
(+.f64 (*.f64 -1/6 x) 0)
(*.f64 -1/6 x)
(pow.f64 (cbrt.f64 (*.f64 -1/6 x)) 3)
(+.f64 1 (-.f64 (*.f64 -1/6 x) 1))
(+.f64 (*.f64 -1/6 x) 0)
(*.f64 -1/6 x)
(pow.f64 (pow.f64 (*.f64 -1/6 x) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 -1/6 x) 1))
(+.f64 (*.f64 -1/6 x) 0)
(*.f64 -1/6 x)
(pow.f64 (sqrt.f64 (*.f64 -1/6 x)) 2)
(+.f64 1 (-.f64 (*.f64 -1/6 x) 1))
(+.f64 (*.f64 -1/6 x) 0)
(*.f64 -1/6 x)
(sqrt.f64 (*.f64 1/36 (*.f64 x x)))
(+.f64 1 (-.f64 (*.f64 -1/6 x) 1))
(+.f64 (*.f64 -1/6 x) 0)
(*.f64 -1/6 x)
(log.f64 (pow.f64 (exp.f64 -1/6) x))
(+.f64 1 (-.f64 (*.f64 -1/6 x) 1))
(+.f64 (*.f64 -1/6 x) 0)
(*.f64 -1/6 x)
(cbrt.f64 (pow.f64 (*.f64 -1/6 x) 3))
(+.f64 1 (-.f64 (*.f64 -1/6 x) 1))
(+.f64 (*.f64 -1/6 x) 0)
(*.f64 -1/6 x)
(expm1.f64 (log1p.f64 (*.f64 -1/6 x)))
(+.f64 1 (-.f64 (*.f64 -1/6 x) 1))
(+.f64 (*.f64 -1/6 x) 0)
(*.f64 -1/6 x)
(exp.f64 (log.f64 (*.f64 -1/6 x)))
(+.f64 1 (-.f64 (*.f64 -1/6 x) 1))
(+.f64 (*.f64 -1/6 x) 0)
(*.f64 -1/6 x)
(log1p.f64 (expm1.f64 (*.f64 -1/6 x)))
(+.f64 1 (-.f64 (*.f64 -1/6 x) 1))
(+.f64 (*.f64 -1/6 x) 0)
(*.f64 -1/6 x)
(-.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x y))) 1)
(*.f64 (*.f64 -1/6 x) y)
(*.f64 -1/6 (*.f64 y x))
(*.f64 y (*.f64 -1/6 x))
(pow.f64 (*.f64 -1/6 (*.f64 x y)) 1)
(*.f64 (*.f64 -1/6 x) y)
(*.f64 -1/6 (*.f64 y x))
(*.f64 y (*.f64 -1/6 x))
(pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 x y))) 3)
(*.f64 (*.f64 -1/6 x) y)
(*.f64 -1/6 (*.f64 y x))
(*.f64 y (*.f64 -1/6 x))
(pow.f64 (pow.f64 (*.f64 -1/6 (*.f64 x y)) 3) 1/3)
(*.f64 (*.f64 -1/6 x) y)
(*.f64 -1/6 (*.f64 y x))
(*.f64 y (*.f64 -1/6 x))
(pow.f64 (sqrt.f64 (*.f64 -1/6 (*.f64 x y))) 2)
(*.f64 (*.f64 -1/6 x) y)
(*.f64 -1/6 (*.f64 y x))
(*.f64 y (*.f64 -1/6 x))
(sqrt.f64 (pow.f64 (*.f64 -1/6 (*.f64 x y)) 2))
(*.f64 (*.f64 -1/6 x) y)
(*.f64 -1/6 (*.f64 y x))
(*.f64 y (*.f64 -1/6 x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 -1/6) x) y))
(*.f64 (*.f64 -1/6 x) y)
(*.f64 -1/6 (*.f64 y x))
(*.f64 y (*.f64 -1/6 x))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (*.f64 x y)) 3))
(*.f64 (*.f64 -1/6 x) y)
(*.f64 -1/6 (*.f64 y x))
(*.f64 y (*.f64 -1/6 x))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 x y))))
(*.f64 (*.f64 -1/6 x) y)
(*.f64 -1/6 (*.f64 y x))
(*.f64 y (*.f64 -1/6 x))
(exp.f64 (log.f64 (*.f64 -1/6 (*.f64 x y))))
(*.f64 (*.f64 -1/6 x) y)
(*.f64 -1/6 (*.f64 y x))
(*.f64 y (*.f64 -1/6 x))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 x y))))
(*.f64 (*.f64 -1/6 x) y)
(*.f64 -1/6 (*.f64 y x))
(*.f64 y (*.f64 -1/6 x))
(-.f64 (+.f64 1 (*.f64 (*.f64 -1/6 y) (*.f64 x y))) 1)
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(pow.f64 (*.f64 (*.f64 -1/6 y) (*.f64 x y)) 1)
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 -1/6 y) (*.f64 x y))) 3)
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(pow.f64 (pow.f64 (*.f64 (*.f64 -1/6 y) (*.f64 x y)) 3) 1/3)
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(pow.f64 (*.f64 y (sqrt.f64 (*.f64 -1/6 x))) 2)
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 -1/6 y) (*.f64 x y)) 2))
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(log.f64 (pow.f64 (exp.f64 (*.f64 y y)) (*.f64 -1/6 x)))
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 -1/6 y) (*.f64 x y)) 3))
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 -1/6 y) (*.f64 x y))))
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 (*.f64 -1/6 y) (*.f64 x y))))
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 -1/6 y) (*.f64 x y))))
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))

localize8.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
99.7%
(*.f64 (/.f64 1 y) y)
Compiler

Compiled 20 to 12 computations (40% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite54.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
846×pow1
816×add-sqr-sqrt
800×*-un-lft-identity
778×add-exp-log
778×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061
11211
211361
Stop Event
node limit
Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 1 y) y)
Outputs
1

simplify12.0ms (0.2%)

Algorithm
egg-herbie
Rules
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113
1513
Stop Event
saturated
Counts
13 → 1
Calls
Call 1
Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1
Outputs
1
1
1
1
1
1
1
1
1
1
1
1
1

localize8.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
76.6%
(*.f64 (/.f64 y 1) (/.f64 x y))
Compiler

Compiled 18 to 9 computations (50% saved)

series0.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite53.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1504×pow1
1388×add-exp-log
1388×log1p-expm1-u
1388×expm1-log1p-u
1358×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
116813
2191713
Stop Event
node limit
Counts
1 → 40
Calls
Call 1
Inputs
(*.f64 (/.f64 y 1) (/.f64 x y))
Outputs
(-.f64 (+.f64 1 (*.f64 y (/.f64 x y))) 1)
(/.f64 y (/.f64 y x))
(/.f64 y (*.f64 (/.f64 y x) 1))
(/.f64 1 (*.f64 (/.f64 1 y) (/.f64 y x)))
(/.f64 1 (*.f64 (/.f64 y x) (/.f64 1 y)))
(/.f64 1 (/.f64 1 (*.f64 y (/.f64 x y))))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 x (*.f64 (/.f64 1 y) y))
(/.f64 x (*.f64 y (/.f64 1 y)))
(/.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (*.f64 y (/.f64 x y)) 1)
(/.f64 (cbrt.f64 (pow.f64 (*.f64 y (/.f64 x y)) 2)) (/.f64 1 (cbrt.f64 (*.f64 y (/.f64 x y)))))
(/.f64 (sqrt.f64 (*.f64 y (/.f64 x y))) (/.f64 1 (sqrt.f64 (*.f64 y (/.f64 x y)))))
(/.f64 (*.f64 y x) y)
(/.f64 (neg.f64 y) (*.f64 -1 (/.f64 y x)))
(/.f64 (neg.f64 y) (*.f64 (/.f64 y x) -1))
(/.f64 (neg.f64 x) (*.f64 (/.f64 1 y) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 y) (/.f64 1 y)))
(/.f64 (*.f64 y (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 y) (neg.f64 x)) (*.f64 -1 (neg.f64 y)))
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) y) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) (neg.f64 y)) y)
(/.f64 (neg.f64 (*.f64 y (/.f64 x y))) -1)
(/.f64 (neg.f64 (*.f64 y x)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x y) (neg.f64 y)) -1)
(/.f64 (*.f64 (neg.f64 y) (/.f64 x y)) -1)
(/.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 y x) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 y (/.f64 x y)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 y (/.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 x y))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 x y)) 2))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 x y)))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 x y)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 y (/.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 x y))))

simplify57.0ms (0.9%)

Algorithm
egg-herbie
Rules
1422×log-div
1056×fma-def
1050×cube-div
942×log-prod
892×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
098114
125484
296384
3526884
Stop Event
node limit
Counts
64 → 43
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 (+.f64 1 (*.f64 y (/.f64 x y))) 1)
(/.f64 y (/.f64 y x))
(/.f64 y (*.f64 (/.f64 y x) 1))
(/.f64 1 (*.f64 (/.f64 1 y) (/.f64 y x)))
(/.f64 1 (*.f64 (/.f64 y x) (/.f64 1 y)))
(/.f64 1 (/.f64 1 (*.f64 y (/.f64 x y))))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 x (*.f64 (/.f64 1 y) y))
(/.f64 x (*.f64 y (/.f64 1 y)))
(/.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (*.f64 y (/.f64 x y)) 1)
(/.f64 (cbrt.f64 (pow.f64 (*.f64 y (/.f64 x y)) 2)) (/.f64 1 (cbrt.f64 (*.f64 y (/.f64 x y)))))
(/.f64 (sqrt.f64 (*.f64 y (/.f64 x y))) (/.f64 1 (sqrt.f64 (*.f64 y (/.f64 x y)))))
(/.f64 (*.f64 y x) y)
(/.f64 (neg.f64 y) (*.f64 -1 (/.f64 y x)))
(/.f64 (neg.f64 y) (*.f64 (/.f64 y x) -1))
(/.f64 (neg.f64 x) (*.f64 (/.f64 1 y) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 y) (/.f64 1 y)))
(/.f64 (*.f64 y (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 y) (neg.f64 x)) (*.f64 -1 (neg.f64 y)))
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) y) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) (neg.f64 y)) y)
(/.f64 (neg.f64 (*.f64 y (/.f64 x y))) -1)
(/.f64 (neg.f64 (*.f64 y x)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x y) (neg.f64 y)) -1)
(/.f64 (*.f64 (neg.f64 y) (/.f64 x y)) -1)
(/.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 y x) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 y (/.f64 x y)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 y (/.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 x y))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 x y)) 2))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 x y)))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 x y)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 y (/.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 x y))))
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 (+.f64 1 (*.f64 y (/.f64 x y))) 1)
x
(/.f64 y (/.f64 y x))
x
(/.f64 y (*.f64 (/.f64 y x) 1))
x
(/.f64 1 (*.f64 (/.f64 1 y) (/.f64 y x)))
x
(/.f64 1 (*.f64 (/.f64 y x) (/.f64 1 y)))
x
(/.f64 1 (/.f64 1 (*.f64 y (/.f64 x y))))
x
(/.f64 1 (/.f64 y (*.f64 y x)))
x
(/.f64 x (*.f64 (/.f64 1 y) y))
x
(/.f64 x (*.f64 y (/.f64 1 y)))
x
(/.f64 (/.f64 x y) (/.f64 1 y))
x
(/.f64 (*.f64 y (/.f64 x y)) 1)
x
(/.f64 (cbrt.f64 (pow.f64 (*.f64 y (/.f64 x y)) 2)) (/.f64 1 (cbrt.f64 (*.f64 y (/.f64 x y)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 y y) x) 2)) 1) (cbrt.f64 (*.f64 (/.f64 y y) x)))
(*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))
(/.f64 (sqrt.f64 (*.f64 y (/.f64 x y))) (/.f64 1 (sqrt.f64 (*.f64 y (/.f64 x y)))))
x
(/.f64 (*.f64 y x) y)
x
(/.f64 (neg.f64 y) (*.f64 -1 (/.f64 y x)))
x
(/.f64 (neg.f64 y) (*.f64 (/.f64 y x) -1))
x
(/.f64 (neg.f64 x) (*.f64 (/.f64 1 y) (neg.f64 y)))
x
(/.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 y) (/.f64 1 y)))
x
(/.f64 (*.f64 y (neg.f64 x)) (neg.f64 y))
x
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 y))
x
(/.f64 (*.f64 (neg.f64 y) (neg.f64 x)) (*.f64 -1 (neg.f64 y)))
x
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 y))
x
(/.f64 (*.f64 (neg.f64 x) y) (neg.f64 y))
x
(/.f64 (*.f64 (neg.f64 x) (neg.f64 y)) y)
x
(/.f64 (neg.f64 (*.f64 y (/.f64 x y))) -1)
x
(/.f64 (neg.f64 (*.f64 y x)) (neg.f64 y))
x
(/.f64 (*.f64 (/.f64 x y) (neg.f64 y)) -1)
x
(/.f64 (*.f64 (neg.f64 y) (/.f64 x y)) -1)
x
(/.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
x
(/.f64 (/.f64 (*.f64 y x) (sqrt.f64 y)) (sqrt.f64 y))
x
(pow.f64 (*.f64 y (/.f64 x y)) 1)
x
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 x y))) 3)
x
(pow.f64 (pow.f64 (*.f64 y (/.f64 x y)) 3) 1/3)
x
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 x y))) 2)
x
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 x y)) 2))
x
(log.f64 (pow.f64 (exp.f64 y) (/.f64 x y)))
x
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 x y)) 3))
x
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 x y))))
x
(exp.f64 (log.f64 (*.f64 y (/.f64 x y))))
x
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 x y))))
x

eval53.0ms (0.9%)

Compiler

Compiled 3133 to 1694 computations (45.9% saved)

prune57.0ms (0.9%)

Pruning

23 alts after pruning (13 fresh and 10 done)

PrunedKeptTotal
New2806286
Fresh178
Picked101
Done31013
Total28523308
Accurracy
100.0%
Counts
308 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 1 x))
51.0%
(/.f64 (/.f64 x y) (/.f64 1 y))
89.6%
(/.f64 (*.f64 (sin.f64 y) x) y)
38.6%
(/.f64 (*.f64 y x) y)
88.8%
(/.f64 (sin.f64 y) (/.f64 y x))
51.8%
(/.f64 y (/.f64 y x))
99.8%
(/.f64 x (/.f64 y (sin.f64 y)))
63.0%
(/.f64 x (+.f64 1 (*.f64 1/6 (*.f64 y y))))
38.6%
(/.f64 1 (/.f64 y (*.f64 y x)))
49.1%
(/.f64 1 (/.f64 1 x))
51.6%
(/.f64 1 (*.f64 (/.f64 y x) (/.f64 1 y)))
39.4%
(+.f64 (+.f64 x -1) 1)
44.3%
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 (sin.f64 y))))
38.5%
(*.f64 (/.f64 1 y) (*.f64 y x))
49.1%
(*.f64 (*.f64 (/.f64 1 y) y) x)
51.0%
(*.f64 (*.f64 (/.f64 1 y) x) y)
88.8%
(*.f64 (sin.f64 y) (/.f64 x y))
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
47.6%
(*.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 y y))))
2.5%
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
2.4%
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
25.1%
(sqrt.f64 (*.f64 x x))
49.2%
x
Compiler

Compiled 197 to 133 computations (32.5% saved)

regimes59.0ms (0.9%)

Counts
31 → 1
Calls
Call 1
Inputs
x
(+.f64 (+.f64 x -1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 y x) y)
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 y (*.f64 -1/6 x)))
(*.f64 (*.f64 (/.f64 1 y) x) y)
(*.f64 (*.f64 (/.f64 1 y) y) x)
(*.f64 (/.f64 1 y) (*.f64 y x))
(*.f64 (/.f64 y 1) (/.f64 x y))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 (/.f64 x y) (/.f64 1 y))
(*.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 y y))))
(/.f64 1 (*.f64 (/.f64 1 y) (/.f64 y x)))
(/.f64 1 (*.f64 (/.f64 y x) (/.f64 1 y)))
(/.f64 x (+.f64 1 (*.f64 1/6 (*.f64 y y))))
(sqrt.f64 (*.f64 x x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 1 (/.f64 y (*.f64 x (sin.f64 y))))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 1 x))
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 y) (/.f64 1 x)))
(*.f64 (pow.f64 y -1/2) (/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y))))
(*.f64 (/.f64 (sin.f64 y) (cbrt.f64 y)) (/.f64 x (cbrt.f64 (*.f64 y y))))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 (sin.f64 y))))
Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
Calls

4 calls:

14.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
13.0ms
y
13.0ms
x
12.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1(*.f64 x (/.f64 (sin.f64 y) y))
99.8%1(/.f64 (sin.f64 y) y)
Compiler

Compiled 242 to 124 computations (48.8% saved)

regimes24.0ms (0.4%)

Counts
20 → 1
Calls
Call 1
Inputs
x
(+.f64 (+.f64 x -1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 y x) y)
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 y (*.f64 -1/6 x)))
(*.f64 (*.f64 (/.f64 1 y) x) y)
(*.f64 (*.f64 (/.f64 1 y) y) x)
(*.f64 (/.f64 1 y) (*.f64 y x))
(*.f64 (/.f64 y 1) (/.f64 x y))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 (/.f64 x y) (/.f64 1 y))
(*.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 y y))))
(/.f64 1 (*.f64 (/.f64 1 y) (/.f64 y x)))
(/.f64 1 (*.f64 (/.f64 y x) (/.f64 1 y)))
(/.f64 x (+.f64 1 (*.f64 1/6 (*.f64 y y))))
(sqrt.f64 (*.f64 x x))
Outputs
(/.f64 x (+.f64 1 (*.f64 1/6 (*.f64 y y))))
Calls

2 calls:

10.0ms
x
10.0ms
y
Results
AccuracySegmentsBranch
63.0%1x
63.0%1y
Compiler

Compiled 137 to 76 computations (44.5% saved)

regimes51.0ms (0.8%)

Counts
18 → 3
Calls
Call 1
Inputs
x
(+.f64 (+.f64 x -1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 y x) y)
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 y (*.f64 -1/6 x)))
(*.f64 (*.f64 (/.f64 1 y) x) y)
(*.f64 (*.f64 (/.f64 1 y) y) x)
(*.f64 (/.f64 1 y) (*.f64 y x))
(*.f64 (/.f64 y 1) (/.f64 x y))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 (/.f64 x y) (/.f64 1 y))
(*.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 y y))))
(/.f64 1 (*.f64 (/.f64 1 y) (/.f64 y x)))
(/.f64 1 (*.f64 (/.f64 y x) (/.f64 1 y)))
Outputs
(+.f64 (+.f64 x -1) 1)
(*.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 y y))))
(-.f64 (+.f64 1 x) 1)
Calls

2 calls:

24.0ms
y
23.0ms
x
Results
AccuracySegmentsBranch
62.5%3x
62.9%3y
Compiler

Compiled 124 to 69 computations (44.4% saved)

bsearch35.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1316785.2636250493
23648434.650172204
19.0ms
-1.9294084142320764e+39
-1.4763157822751594e+35
Results
32.0ms240×body256valid
Compiler

Compiled 313 to 249 computations (20.4% saved)

regimes45.0ms (0.7%)

Counts
15 → 3
Calls
Call 1
Inputs
x
(+.f64 (+.f64 x -1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 y x) y)
(*.f64 -1/6 (*.f64 x (*.f64 y y)))
(*.f64 -1/6 (*.f64 y (*.f64 y x)))
(*.f64 y (*.f64 y (*.f64 -1/6 x)))
(*.f64 (*.f64 (/.f64 1 y) x) y)
(*.f64 (*.f64 (/.f64 1 y) y) x)
(*.f64 (/.f64 1 y) (*.f64 y x))
(*.f64 (/.f64 y 1) (/.f64 x y))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 (/.f64 x y) (/.f64 1 y))
Outputs
(+.f64 (+.f64 x -1) 1)
x
(-.f64 (+.f64 1 x) 1)
Calls

2 calls:

22.0ms
y
20.0ms
x
Results
AccuracySegmentsBranch
62.5%3x
62.7%3y
Compiler

Compiled 97 to 54 computations (44.3% saved)

bsearch26.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
1.5228327745047779e+29
1.2011237105192955e+33
7.0ms
-14549.636859021502
-11434.033524922079
Results
23.0ms176×body256valid
Compiler

Compiled 145 to 119 computations (17.9% saved)

regimes18.0ms (0.3%)

Accuracy

Total -23.6b remaining (-98.9%)

Threshold costs -23.6b (-98.9%)

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

2 calls:

9.0ms
y
8.0ms
x
Results
AccuracySegmentsBranch
51.4%3x
62.7%3y
Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch26.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
1.5228327745047779e+29
1.2011237105192955e+33
7.0ms
-14549.636859021502
-11434.033524922079
Results
23.0ms176×body256valid
Compiler

Compiled 145 to 119 computations (17.9% saved)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Rules
14×+-commutative
10×*-commutative
sub-neg
*-rgt-identity
mul-1-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042196
160196
263196
368196
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (+.f64 1 (*.f64 1/6 (*.f64 y y))))
(if (<=.f64 y -1050000000000000022405576354267398144) (+.f64 (+.f64 x -1) 1) (if (<=.f64 y 5100000) (*.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 y y)))) (-.f64 (+.f64 1 x) 1)))
(if (<=.f64 y -11500) (+.f64 (+.f64 x -1) 1) (if (<=.f64 y 619999999999999978551470194688) x (-.f64 (+.f64 1 x) 1)))
(if (<=.f64 y -11500) (+.f64 (+.f64 x -1) 1) (if (<=.f64 y 19499999999999999965537719287808) x (+.f64 (+.f64 x -1) 1)))
x
Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (+.f64 1 (*.f64 1/6 (*.f64 y y))))
(if (<=.f64 y -1050000000000000022405576354267398144) (+.f64 (+.f64 x -1) 1) (if (<=.f64 y 5100000) (*.f64 x (+.f64 1 (*.f64 -1/6 (*.f64 y y)))) (-.f64 (+.f64 1 x) 1)))
(if (<=.f64 y -1050000000000000022405576354267398144) (+.f64 1 (+.f64 x -1)) (if (<=.f64 y 5100000) (*.f64 x (+.f64 1 (*.f64 (*.f64 y y) -1/6))) (-.f64 (+.f64 x 1) 1)))
(if (<=.f64 y -1050000000000000022405576354267398144) (+.f64 1 (+.f64 x -1)) (if (<=.f64 y 5100000) (*.f64 x (+.f64 1 (*.f64 (*.f64 y y) -1/6))) (+.f64 (+.f64 x 1) -1)))
(if (<=.f64 y -11500) (+.f64 (+.f64 x -1) 1) (if (<=.f64 y 619999999999999978551470194688) x (-.f64 (+.f64 1 x) 1)))
(if (<=.f64 y -11500) (+.f64 1 (+.f64 x -1)) (if (<=.f64 y 619999999999999978551470194688) x (-.f64 (+.f64 x 1) 1)))
(if (<=.f64 y -11500) (+.f64 1 (+.f64 x -1)) (if (<=.f64 y 619999999999999978551470194688) x (+.f64 (+.f64 x 1) -1)))
(if (<=.f64 y -11500) (+.f64 (+.f64 x -1) 1) (if (<=.f64 y 19499999999999999965537719287808) x (+.f64 (+.f64 x -1) 1)))
(if (or (<=.f64 y -11500) (not (<=.f64 y 19499999999999999965537719287808))) (+.f64 1 (+.f64 x -1)) x)
x
Compiler

Compiled 89 to 66 computations (25.8% saved)

soundness458.0ms (7.3%)

Rules
1744×log-prod
1726×pow1
1726×pow1
1584×add-exp-log
1584×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
116328
2211828
061
11251
212451
0613
11351
219141
01571727
13761539
213331353
373381353
0828
116328
2211828
02102088
15261898
218241692
373761692
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 140 to 94 computations (32.9% saved)

end66.0ms (1.1%)

Compiler

Compiled 79 to 55 computations (30.4% saved)

Profiling

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