Linear.Quaternion:$cexp from linear-1.19.1.3

Time bar (total: 6.5s)

analyze17.0ms (0.3%)

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
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample1.1s (17%)

Results
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Bogosity

preprocess304.0ms (4.7%)

Algorithm
egg-herbie
Rules
2338×fma-def
842×div-sub
596×fma-neg
554×associate-*r*
516×times-frac
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(/.f64 (sin.f64 y) y)
00-0-(*.f64 x (/.f64 (sin.f64 y) y))
00-0-(sin.f64 y)
00-0-y
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022190
153190
2123190
3409190
41612190
53251190
63998190
74833190
84986190
95176190
105200190
115306190
125380190
135806190
145806190
155806190
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (sin.f64 (neg.f64 y)) (neg.f64 y)))
(neg.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y)))
(neg.f64 (*.f64 x (/.f64 (sin.f64 (neg.f64 y)) (neg.f64 y))))
(*.f64 y (/.f64 (sin.f64 x) x))
Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) y) (neg.f64 x))
(*.f64 x (neg.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (neg.f64 x)))
(*.f64 x (/.f64 (sin.f64 (neg.f64 y)) (neg.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (/.f64 y (sin.f64 y)))
(neg.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (/.f64 y (sin.f64 y)))
(neg.f64 (*.f64 x (/.f64 (sin.f64 (neg.f64 y)) (neg.f64 y))))
(*.f64 (/.f64 (sin.f64 y) y) (neg.f64 x))
(*.f64 x (neg.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))
(/.f64 (sin.f64 y) (/.f64 y (neg.f64 x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 y x) (sin.f64 x))
Symmetry

(abs y)

(negabs x)

Compiler

Compiled 42 to 17 computations (59.5% saved)

eval0.0ms (0%)

Compiler

Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 x (/.f64 y (sin.f64 y)))
99.7%
(*.f64 x (/.f64 (sin.f64 y) y))
Compiler

Compiled 16 to 10 computations (37.5% saved)

localize44.0ms (0.7%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
99.8%
(/.f64 y (sin.f64 y))
99.4%
(/.f64 x (/.f64 y (sin.f64 y)))
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
99.8%
(/.f64 (sin.f64 y) y)
Compiler

Compiled 31 to 8 computations (74.2% saved)

series8.0ms (0.1%)

Counts
4 → 56
Calls

18 calls:

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

rewrite229.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
862×log-prod
770×log1p-expm1-u
770×expm1-log1p-u
568×pow-prod-down
338×pow-prod-up
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01386
116386
2207386
Stop Event
node limit
Counts
4 → 207
Calls
Call 1
Inputs
(/.f64 (sin.f64 y) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 y))
Outputs
(+.f64 0 (/.f64 (sin.f64 y) y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (/.f64 (sin.f64 y) y) 1)
(*.f64 (/.f64 (sin.f64 y) y) (log.f64 (exp.f64 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 (pow.f64 (cbrt.f64 y) -2) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(*.f64 (pow.f64 y -1/2) (/.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) (pow.f64 (cbrt.f64 y) 2)) (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)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (neg.f64 y)) (neg.f64 (sin.f64 y)))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(pow.f64 (/.f64 y (sin.f64 y)) -1)
(pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) -3)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3) -1/3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) -2)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) 1) -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)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) y))))
(cbrt.f64 (pow.f64 (/.f64 y (sin.f64 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)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y (sin.f64 y)) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) 2))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
(+.f64 0 (*.f64 (sin.f64 y) (/.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y))))) (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 x (/.f64 y (sin.f64 y)))
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))
(/.f64 1 (/.f64 (/.f64 y (*.f64 (sin.f64 y) x)) 1))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 y (sin.f64 y)) (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (/.f64 x y) (/.f64 1 (sin.f64 y)))
(/.f64 -1 (neg.f64 (/.f64 y (*.f64 (sin.f64 y) x))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (/.f64 (neg.f64 y) (sin.f64 y))))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (neg.f64 y))
(/.f64 (/.f64 x (sqrt.f64 (/.f64 y (sin.f64 y)))) (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 x 1) (/.f64 y (sin.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 x (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (/.f64 y (sin.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)) 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 y (*.f64 (sin.f64 y) x)) -1)
(pow.f64 (/.f64 (/.f64 y (*.f64 (sin.f64 y) x)) 1) -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 (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 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))
(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))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) x))) -1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(+.f64 0 (*.f64 (sin.f64 y) (/.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y))))) (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 (sin.f64 y) (/.f64 x y))
(*.f64 (sin.f64 y) (*.f64 (/.f64 1 y) x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(*.f64 (*.f64 (sin.f64 y) (/.f64 x y)) (log.f64 (exp.f64 1)))
(*.f64 1 (*.f64 (sin.f64 y) (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) 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 (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) y)) (/.f64 x (sqrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) x))
(*.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 1 y) (/.f64 x (/.f64 1 (sin.f64 y))))
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 1 y))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) -2) (/.f64 x (cbrt.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 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 (/.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 x (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (*.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) 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 (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)) 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 y (*.f64 (sin.f64 y) x)) -1)
(pow.f64 (/.f64 (/.f64 y (*.f64 (sin.f64 y) x)) 1) -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 (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 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))
(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))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) x))) -1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(+.f64 0 (/.f64 y (sin.f64 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 y (sin.f64 y)))) (cbrt.f64 (exp.f64 (/.f64 y (sin.f64 y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (sin.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (sin.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (sin.f64 y)))) 1)
(*.f64 y (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 y (sin.f64 y)) 1)
(*.f64 (/.f64 y (sin.f64 y)) (log.f64 (exp.f64 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 (pow.f64 (cbrt.f64 (sin.f64 y)) -2) (/.f64 y (cbrt.f64 (sin.f64 y))))
(*.f64 (pow.f64 (sin.f64 y) -1/2) (/.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))))
(*.f64 (/.f64 1 (neg.f64 (sin.f64 y))) (neg.f64 y))
(pow.f64 (/.f64 (sin.f64 y) y) -1)
(pow.f64 (/.f64 y (sin.f64 y)) 1)
(pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) -3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3) 1/3)
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) -3) -1/3)
(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) -2)
(pow.f64 (/.f64 (/.f64 (sin.f64 y) y) 1) -1)
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(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) -2))
(log.f64 (exp.f64 (/.f64 y (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.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))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 y (sin.f64 y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y (sin.f64 y)))) 2))
(log1p.f64 (expm1.f64 (/.f64 y (sin.f64 y))))

simplify124.0ms (1.9%)

Algorithm
egg-herbie
Rules
856×log-prod
582×cube-prod
450×log-div
426×associate-*l*
418×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04377133
19996915
236596915
Stop Event
node limit
Counts
263 → 236
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 1/120 (pow.f64 y 4))))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
x
(+.f64 x (*.f64 -1/6 (*.f64 x (pow.f64 y 2))))
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(+.f64 x (+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 2))) (+.f64 (*.f64 -1/5040 (*.f64 x (pow.f64 y 6))) (*.f64 1/120 (*.f64 x (pow.f64 y 4))))))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
x
(+.f64 x (*.f64 -1/6 (*.f64 x (pow.f64 y 2))))
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(+.f64 x (+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 2))) (+.f64 (*.f64 -1/5040 (*.f64 x (pow.f64 y 6))) (*.f64 1/120 (*.f64 x (pow.f64 y 4))))))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
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(+.f64 1 (+.f64 (*.f64 31/15120 (pow.f64 y 6)) (+.f64 (*.f64 7/360 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2)))))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)
(*.f64 (sin.f64 y) (/.f64 1 y))
(*.f64 (/.f64 (sin.f64 y) y) 1)
(*.f64 (/.f64 (sin.f64 y) y) (log.f64 (exp.f64 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)))
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(*.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(*.f64 (pow.f64 y -1/2) (/.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) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
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(pow.f64 (/.f64 (sin.f64 y) y) 1)
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(pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) -3)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
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(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) 1) -1)
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(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
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(cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) -3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)))
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(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1))
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(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1) -1))
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(/.f64 (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)) (sqrt.f64 y))
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(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)
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(neg.f64 (/.f64 x (/.f64 (neg.f64 y) (sin.f64 y))))
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(*.f64 (sin.f64 y) (*.f64 (/.f64 1 y) x))
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(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 x (sqrt.f64 (/.f64 y (sin.f64 y)))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) x))
(*.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 1 y) (/.f64 x (/.f64 1 (sin.f64 y))))
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 1 y))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) -2) (/.f64 x (cbrt.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 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 (/.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 x (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (*.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) 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 (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)) 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 y (*.f64 (sin.f64 y) x)) -1)
(pow.f64 (/.f64 (/.f64 y (*.f64 (sin.f64 y) x)) 1) -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 (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 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))
(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))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) x))) -1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(+.f64 0 (/.f64 y (sin.f64 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 y (sin.f64 y)))) (cbrt.f64 (exp.f64 (/.f64 y (sin.f64 y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (sin.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (sin.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (sin.f64 y)))) 1)
(*.f64 y (/.f64 1 (sin.f64 y)))
(*.f64 (/.f64 y (sin.f64 y)) 1)
(*.f64 (/.f64 y (sin.f64 y)) (log.f64 (exp.f64 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 (pow.f64 (cbrt.f64 (sin.f64 y)) -2) (/.f64 y (cbrt.f64 (sin.f64 y))))
(*.f64 (pow.f64 (sin.f64 y) -1/2) (/.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))))
(*.f64 (/.f64 1 (neg.f64 (sin.f64 y))) (neg.f64 y))
(pow.f64 (/.f64 (sin.f64 y) y) -1)
(pow.f64 (/.f64 y (sin.f64 y)) 1)
(pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) -3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3) 1/3)
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) -3) -1/3)
(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) -2)
(pow.f64 (/.f64 (/.f64 (sin.f64 y) y) 1) -1)
(neg.f64 (/.f64 y (neg.f64 (sin.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) -2))
(log.f64 (exp.f64 (/.f64 y (sin.f64 y))))
(log.f64 (+.f64 1 (expm1.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))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 y (sin.f64 y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y (sin.f64 y)))) 2))
(log1p.f64 (expm1.f64 (/.f64 y (sin.f64 y))))
Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (pow.f64 y 2) 1)
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (pow.f64 y 2) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/6 (pow.f64 y 2) 1) (*.f64 1/120 (pow.f64 y 4)))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 -1/6 (pow.f64 y 2) (fma.f64 -1/5040 (pow.f64 y 6) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 -1/6 (pow.f64 y 2) (fma.f64 1/120 (pow.f64 y 4) (*.f64 -1/5040 (pow.f64 y 6)))))
(+.f64 (fma.f64 -1/6 (pow.f64 y 2) 1) (fma.f64 1/120 (pow.f64 y 4) (*.f64 -1/5040 (pow.f64 y 6))))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
x
(+.f64 x (*.f64 -1/6 (*.f64 x (pow.f64 y 2))))
(+.f64 x (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)))
(fma.f64 -1/6 (*.f64 (pow.f64 y 2) x) x)
(+.f64 x (+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 2))) (*.f64 1/120 (*.f64 x (pow.f64 y 4)))))
(+.f64 x (fma.f64 -1/6 (*.f64 (pow.f64 y 2) x) (*.f64 (*.f64 1/120 x) (pow.f64 y 4))))
(+.f64 x (fma.f64 -1/6 (*.f64 (pow.f64 y 2) x) (*.f64 1/120 (*.f64 (pow.f64 y 4) x))))
(+.f64 (fma.f64 -1/6 (*.f64 (pow.f64 y 2) x) x) (*.f64 1/120 (*.f64 (pow.f64 y 4) x)))
(+.f64 x (+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 2))) (+.f64 (*.f64 -1/5040 (*.f64 x (pow.f64 y 6))) (*.f64 1/120 (*.f64 x (pow.f64 y 4))))))
(+.f64 x (fma.f64 -1/6 (*.f64 (pow.f64 y 2) x) (fma.f64 -1/5040 (*.f64 (pow.f64 y 6) x) (*.f64 (*.f64 1/120 x) (pow.f64 y 4)))))
(+.f64 x (fma.f64 -1/6 (*.f64 (pow.f64 y 2) x) (fma.f64 1/120 (*.f64 (pow.f64 y 4) x) (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)))))
(+.f64 (fma.f64 -1/6 (*.f64 (pow.f64 y 2) x) x) (fma.f64 -1/5040 (*.f64 (pow.f64 y 6) x) (*.f64 1/120 (*.f64 (pow.f64 y 4) x))))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
x
(+.f64 x (*.f64 -1/6 (*.f64 x (pow.f64 y 2))))
(+.f64 x (*.f64 -1/6 (*.f64 (pow.f64 y 2) x)))
(fma.f64 -1/6 (*.f64 (pow.f64 y 2) x) x)
(+.f64 x (+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 2))) (*.f64 1/120 (*.f64 x (pow.f64 y 4)))))
(+.f64 x (fma.f64 -1/6 (*.f64 (pow.f64 y 2) x) (*.f64 (*.f64 1/120 x) (pow.f64 y 4))))
(+.f64 x (fma.f64 -1/6 (*.f64 (pow.f64 y 2) x) (*.f64 1/120 (*.f64 (pow.f64 y 4) x))))
(+.f64 (fma.f64 -1/6 (*.f64 (pow.f64 y 2) x) x) (*.f64 1/120 (*.f64 (pow.f64 y 4) x)))
(+.f64 x (+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 2))) (+.f64 (*.f64 -1/5040 (*.f64 x (pow.f64 y 6))) (*.f64 1/120 (*.f64 x (pow.f64 y 4))))))
(+.f64 x (fma.f64 -1/6 (*.f64 (pow.f64 y 2) x) (fma.f64 -1/5040 (*.f64 (pow.f64 y 6) x) (*.f64 (*.f64 1/120 x) (pow.f64 y 4)))))
(+.f64 x (fma.f64 -1/6 (*.f64 (pow.f64 y 2) x) (fma.f64 1/120 (*.f64 (pow.f64 y 4) x) (*.f64 -1/5040 (*.f64 (pow.f64 y 6) x)))))
(+.f64 (fma.f64 -1/6 (*.f64 (pow.f64 y 2) x) x) (fma.f64 -1/5040 (*.f64 (pow.f64 y 6) x) (*.f64 1/120 (*.f64 (pow.f64 y 4) x))))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 (pow.f64 y 2) 1/6))
(fma.f64 (pow.f64 y 2) 1/6 1)
(+.f64 1 (+.f64 (*.f64 7/360 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2))))
(+.f64 1 (fma.f64 7/360 (pow.f64 y 4) (*.f64 (pow.f64 y 2) 1/6)))
(+.f64 1 (fma.f64 (pow.f64 y 2) 1/6 (*.f64 (pow.f64 y 4) 7/360)))
(+.f64 1 (fma.f64 (pow.f64 y 4) 7/360 (*.f64 (pow.f64 y 2) 1/6)))
(+.f64 1 (+.f64 (*.f64 31/15120 (pow.f64 y 6)) (+.f64 (*.f64 7/360 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2)))))
(+.f64 1 (fma.f64 31/15120 (pow.f64 y 6) (fma.f64 7/360 (pow.f64 y 4) (*.f64 (pow.f64 y 2) 1/6))))
(+.f64 1 (fma.f64 (pow.f64 y 6) 31/15120 (fma.f64 (pow.f64 y 2) 1/6 (*.f64 (pow.f64 y 4) 7/360))))
(+.f64 1 (fma.f64 (pow.f64 y 6) 31/15120 (fma.f64 (pow.f64 y 4) 7/360 (*.f64 (pow.f64 y 2) 1/6))))
(+.f64 0 (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)
(/.f64 (sin.f64 y) y)
(*.f64 (sin.f64 y) (/.f64 1 y))
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sin.f64 y) y) (log.f64 (exp.f64 1)))
(/.f64 (sin.f64 y) y)
(*.f64 1 (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y)))
(/.f64 (sin.f64 y) y)
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(/.f64 (sin.f64 y) y)
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(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3))
(*.f64 x (/.f64 (sin.f64 y) y))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (sin.f64 y)) 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))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 1) 1))
(*.f64 x (/.f64 (sin.f64 y) y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) 3))
(*.f64 x (/.f64 (sin.f64 y) y))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) 1/3))
(*.f64 x (/.f64 (sin.f64 y) y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) 2))
(*.f64 x (/.f64 (sin.f64 y) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) x))) -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))
(+.f64 0 (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 y (sin.f64 y)))) (cbrt.f64 (exp.f64 (/.f64 y (sin.f64 y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (sin.f64 y))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (sin.f64 y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (sin.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (sin.f64 y))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (sin.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (sin.f64 y)))) 1)
(/.f64 y (sin.f64 y))
(*.f64 y (/.f64 1 (sin.f64 y)))
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 y (sin.f64 y)) 1)
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 y (sin.f64 y)) (log.f64 (exp.f64 1)))
(/.f64 y (sin.f64 y))
(*.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 y))
(*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2))
(/.f64 y (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (cbrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 y (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 y))))
(/.f64 y (sin.f64 y))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 y (sin.f64 y))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 y))))
(/.f64 y (sin.f64 y))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (sin.f64 y))))
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 1 (sin.f64 y)) y)
(/.f64 y (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) -2) (/.f64 y (cbrt.f64 (sin.f64 y))))
(*.f64 (pow.f64 (sin.f64 y) -1/2) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (*.f64 y (pow.f64 (sin.f64 y) -1/2)) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (sin.f64 y)))
(/.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) (cbrt.f64 (/.f64 y (sin.f64 y)))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.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 (/.f64 y (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(/.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 (/.f64 y (cbrt.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(*.f64 (/.f64 1 (neg.f64 (sin.f64 y))) (neg.f64 y))
(/.f64 y (sin.f64 y))
(pow.f64 (/.f64 (sin.f64 y) y) -1)
(/.f64 y (sin.f64 y))
(pow.f64 (/.f64 y (sin.f64 y)) 1)
(/.f64 y (sin.f64 y))
(pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3)
(/.f64 y (sin.f64 y))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) -3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) -2) 1/2)
(/.f64 y (sin.f64 y))
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3) 1/3)
(/.f64 y (sin.f64 y))
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) -3) -1/3)
(*.f64 (pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) -3) -1/6) (pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) -3) -1/6))
(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2)
(/.f64 y (sin.f64 y))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) -2)
(pow.f64 (/.f64 (/.f64 (sin.f64 y) y) 1) -1)
(/.f64 y (sin.f64 y))
(neg.f64 (/.f64 y (neg.f64 (sin.f64 y))))
(/.f64 y (sin.f64 y))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) -2))
(/.f64 y (sin.f64 y))
(log.f64 (exp.f64 (/.f64 y (sin.f64 y))))
(/.f64 y (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sin.f64 y)))))
(/.f64 y (sin.f64 y))
(cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3))
(/.f64 y (sin.f64 y))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)))
(/.f64 y (sin.f64 y))
(expm1.f64 (log1p.f64 (/.f64 y (sin.f64 y))))
(/.f64 y (sin.f64 y))
(exp.f64 (log.f64 (/.f64 y (sin.f64 y))))
(/.f64 y (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1))
(/.f64 y (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) -1))
(/.f64 y (sin.f64 y))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1) -1))
(/.f64 y (sin.f64 y))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) 1) 1))
(/.f64 y (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y (sin.f64 y)))) 3))
(/.f64 y (sin.f64 y))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 y (sin.f64 y)))) 1/3))
(/.f64 y (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y (sin.f64 y)))) 2))
(/.f64 y (sin.f64 y))
(log1p.f64 (expm1.f64 (/.f64 y (sin.f64 y))))
(/.f64 y (sin.f64 y))

eval48.0ms (0.7%)

Compiler

Compiled 2782 to 1174 computations (57.8% saved)

prune37.0ms (0.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New2288236
Fresh000
Picked022
Done000
Total22810238
Accuracy
100.0%
Counts
238 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.8%
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 3)
91.3%
(/.f64 (*.f64 (sin.f64 y) x) y)
98.9%
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)))
99.4%
(/.f64 x (/.f64 y (sin.f64 y)))
88.0%
(*.f64 (/.f64 x y) (sin.f64 y))
91.1%
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 1 y))
88.0%
(*.f64 (sin.f64 y) (*.f64 (/.f64 1 y) x))
99.7%
(*.f64 x (/.f64 (sin.f64 y) y))
99.6%
(*.f64 x (*.f64 (/.f64 1 y) (sin.f64 y)))
42.1%
x
Compiler

Compiled 160 to 106 computations (33.8% saved)

localize173.0ms (2.7%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
99.8%
(/.f64 y (sin.f64 y))
99.7%
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)))
99.1%
(/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x))
99.7%
(*.f64 (sin.f64 y) x)
91.1%
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 1 y))
99.7%
(*.f64 (sin.f64 y) x)
91.3%
(/.f64 (*.f64 (sin.f64 y) x) y)
99.8%
(*.f64 x (*.f64 (/.f64 1 y) (sin.f64 y)))
99.5%
(*.f64 (/.f64 1 y) (sin.f64 y))
Compiler

Compiled 87 to 26 computations (70.1% saved)

series13.0ms (0.2%)

Counts
8 → 168
Calls

45 calls:

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

rewrite278.0ms (4.3%)

Algorithm
batch-egg-rewrite
Rules
842×log1p-expm1-u
842×expm1-log1p-u
408×expm1-udef
408×log1p-udef
274×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020185
1307185
24205185
Stop Event
node limit
Counts
8 → 373
Calls
Call 1
Inputs
(*.f64 (/.f64 1 y) (sin.f64 y))
(*.f64 x (*.f64 (/.f64 1 y) (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) x)
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 1 y))
(*.f64 (sin.f64 y) x)
(/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) y))) 1)
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (sin.f64 y))))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (/.f64 (sin.f64 y) 1) y)
(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 (sin.f64 y) -1) (neg.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)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) y))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 y) 3) (pow.f64 (sin.f64 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 1 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)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) 1)
(/.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))
(/.f64 1 (/.f64 (/.f64 (/.f64 y x) (sin.f64 y)) 1))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)))
(/.f64 -1 (neg.f64 (/.f64 (/.f64 y x) (sin.f64 y))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 (/.f64 y x) (cbrt.f64 (sin.f64 y))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (/.f64 y (cbrt.f64 (*.f64 (sin.f64 y) x))))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (pow.f64 x 1/4) (/.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)) (pow.f64 x 1/4)))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (/.f64 y x) (sqrt.f64 (sin.f64 y))))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (/.f64 y (sqrt.f64 (*.f64 (sin.f64 y) x))))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (/.f64 y x)))
(/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (sqrt.f64 x)))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x)) (pow.f64 x -1/2))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (/.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (sqrt.f64 x))))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (neg.f64 x))) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)))) (sqrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x))))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)) (sqrt.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 (sqrt.f64 x) 1) (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)))
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) -1) (neg.f64 y))
(/.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2) x))) (cbrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.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 (sqrt.f64 x) (/.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (sqrt.f64 x))))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)))
(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) y) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (sin.f64 y) y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 y) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (/.f64 1 y) 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3/2) (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)) 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))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) 1)
(*.f64 1 (*.f64 (sin.f64 y) (/.f64 x y)))
(*.f64 (/.f64 1 y) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (sin.f64 y) (/.f64 1 (/.f64 y x)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sqrt.f64 x) (pow.f64 x -1/2)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 1 y))
(*.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 x y)))
(*.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 (sin.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 (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 (*.f64 (sin.f64 y) x)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (/.f64 1 y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) x))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x))))
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(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sqrt.f64 x) (pow.f64 x -1/2)))
(*.f64 x (/.f64 (sin.f64 y) y))
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(*.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
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(*.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 (*.f64 (sin.f64 y) x)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (/.f64 1 y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) x))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y)))
(*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 x y)))
(*.f64 (pow.f64 y -1/2) (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)))
(*.f64 (pow.f64 y -1/2) (*.f64 (pow.f64 y -1/2) (*.f64 (sin.f64 y) x)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) x))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 1 (/.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (sqrt.f64 x))))
(*.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (/.f64 1 (neg.f64 y)))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2) x))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)))))
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(*.f64 (/.f64 (cbrt.f64 x) 1) (/.f64 (cbrt.f64 (sqrt.f64 x)) (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x))))
(*.f64 (/.f64 (cbrt.f64 x) (/.f64 y (sin.f64 y))) (/.f64 (cbrt.f64 (sqrt.f64 x)) (pow.f64 x -1/2)))
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(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)))) (/.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)))))
(*.f64 (/.f64 (pow.f64 x 1/4) 1) (/.f64 (pow.f64 x 1/4) (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 x 1/4) (/.f64 y (sin.f64 y))) (/.f64 (pow.f64 x 1/4) (pow.f64 x -1/2)))
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(*.f64 (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)) (pow.f64 y -1/2))
(*.f64 (/.f64 (sin.f64 y) 1) (/.f64 x y))
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(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.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 (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 (sin.f64 y) (/.f64 x y))))
(*.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)))
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(*.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)))
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(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)
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(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)))
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(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (sin.f64 y) y) 3)))
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(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (/.f64 1 y) 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3/2) (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)) 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))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y))))

simplify202.0ms (3.1%)

Algorithm
egg-herbie
Rules
1106×fma-def
1076×log-prod
754×associate-*r*
706×associate-*l*
668×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050815954
1126015794
2532315766
Stop Event
node limit
Counts
541 → 275
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
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(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
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x
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(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
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x
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(/.f64 (*.f64 x (sin.f64 y)) y)
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(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
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(/.f64 (*.f64 x (sin.f64 y)) y)
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(*.f64 x (sin.f64 y))
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x
(+.f64 x (*.f64 -1/6 (*.f64 x (pow.f64 y 2))))
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x
(+.f64 x (*.f64 -1/6 (*.f64 x (pow.f64 y 2))))
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(/.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (/.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (sqrt.f64 x))))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (neg.f64 x))) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)))) (sqrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x))))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)) (sqrt.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 (sqrt.f64 x) 1) (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)))
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) -1) (neg.f64 y))
(/.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2) x))) (cbrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.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 (sqrt.f64 x) (/.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (sqrt.f64 x))))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)))
(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) y) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (sin.f64 y) y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 y) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (/.f64 1 y) 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3/2) (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)) 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))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (*.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)))
(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)))
(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)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)))) 1)
(*.f64 1 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)))
(*.f64 y (/.f64 (/.f64 1 (sin.f64 y)) (sqrt.f64 x)))
(*.f64 y (/.f64 1 (*.f64 (sin.f64 y) (sqrt.f64 x))))
(*.f64 y (*.f64 (/.f64 1 (sin.f64 y)) (pow.f64 x -1/2)))
(*.f64 (/.f64 y (sin.f64 y)) (pow.f64 x -1/2))
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)) 1)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 x -1/2)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2) x)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2) x)) (cbrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 x -1/2)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x))) (sqrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x))))
(*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 1 (neg.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 x -1/2) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 y (cbrt.f64 x)) (/.f64 (/.f64 1 (sin.f64 y)) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (/.f64 y (sin.f64 y)) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (/.f64 1 (pow.f64 x 1/4)) (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 x 1/4)))
(*.f64 (/.f64 y (pow.f64 x 1/4)) (/.f64 (/.f64 1 (sin.f64 y)) (pow.f64 x 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) 1) (/.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (cbrt.f64 x)) (cbrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (pow.f64 x 1/4)) (/.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 x 1/4)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 1) (/.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 (sqrt.f64 x))))
(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x))) 2)
(pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x)) -1)
(neg.f64 (/.f64 (/.f64 y (sin.f64 y)) (neg.f64 (sqrt.f64 x))))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2) x))
(log.f64 (exp.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3) (pow.f64 x 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x))))
(exp.f64 (log.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) 1)
(*.f64 1 (*.f64 (sin.f64 y) (/.f64 x y)))
(*.f64 (/.f64 1 y) (*.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (sin.f64 y) (/.f64 1 (/.f64 y x)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sqrt.f64 x) (pow.f64 x -1/2)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 1 y))
(*.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 x y)))
(*.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 (sin.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 (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 (*.f64 (sin.f64 y) x)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (/.f64 1 y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) x))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y)))
(*.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 x y)))
(*.f64 (pow.f64 y -1/2) (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)))
(*.f64 (pow.f64 y -1/2) (*.f64 (pow.f64 y -1/2) (*.f64 (sin.f64 y) x)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) x))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 1 (/.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (sqrt.f64 x))))
(*.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (/.f64 1 (neg.f64 y)))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2) x))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 x) 1) (/.f64 (cbrt.f64 (sqrt.f64 x)) (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x))))
(*.f64 (/.f64 (cbrt.f64 x) (/.f64 y (sin.f64 y))) (/.f64 (cbrt.f64 (sqrt.f64 x)) (pow.f64 x -1/2)))
(*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2) x))) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)))) (/.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)))))
(*.f64 (/.f64 (pow.f64 x 1/4) 1) (/.f64 (pow.f64 x 1/4) (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 x 1/4) (/.f64 y (sin.f64 y))) (/.f64 (pow.f64 x 1/4) (pow.f64 x -1/2)))
(*.f64 (/.f64 (pow.f64 x 1/4) (cbrt.f64 (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2) x))) (/.f64 (pow.f64 x 1/4) (cbrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 (sin.f64 y) x) (cbrt.f64 y)))
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)) (pow.f64 y -1/2))
(*.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 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.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 (sin.f64 y) (/.f64 x y))))
(*.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)))
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) 1) (/.f64 1 y))
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1 (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x)))
(*.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x)) 1) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x)) (pow.f64 x 1/4)) (pow.f64 x 1/4))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (*.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) 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 (/.f64 1 y) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)) (cbrt.f64 (*.f64 (sin.f64 y) x)))
(*.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (*.f64 (sin.f64 y) x))) (sqrt.f64 (*.f64 (sin.f64 y) x)))
(*.f64 (*.f64 (*.f64 (sin.f64 y) x) (cbrt.f64 (pow.f64 y -2))) (/.f64 1 (cbrt.f64 y)))
(*.f64 (*.f64 (*.f64 (sin.f64 y) x) (pow.f64 y -1/2)) (pow.f64 y -1/2))
(*.f64 (/.f64 (sqrt.f64 x) y) (*.f64 (sin.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 (neg.f64 y) (sin.f64 y))) (neg.f64 (sqrt.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 (sqrt.f64 x) (/.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (sqrt.f64 x))))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)))
(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) y) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (sin.f64 y) y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 y) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (/.f64 1 y) 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3/2) (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)) 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))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (pow.f64 y 2) 1)
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (pow.f64 y 2) (*.f64 1/120 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/6 (pow.f64 y 2) 1) (*.f64 1/120 (pow.f64 y 4)))
(fma.f64 -1/6 (pow.f64 y 2) (fma.f64 1/120 (pow.f64 y 4) 1))
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (*.f64 1/120 (pow.f64 y 4)))))
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(*.f64 (/.f64 (sin.f64 y) 1) (/.f64 x y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 x 1) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))))
(*.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 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) y))
(*.f64 (sin.f64 y) (/.f64 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)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) 1) (/.f64 1 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1 (cbrt.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x)) 1) (sqrt.f64 x))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 x) (/.f64 y (*.f64 (sin.f64 y) (sqrt.f64 x)))) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (*.f64 (sin.f64 y) (/.f64 (sqrt.f64 x) y))))
(*.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x)) (pow.f64 x 1/4)) (pow.f64 x 1/4))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (*.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (*.f64 (/.f64 x y) 1) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.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 (*.f64 (/.f64 x y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (*.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 2)) (cbrt.f64 (*.f64 (sin.f64 y) x)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (*.f64 (sin.f64 y) x))) (sqrt.f64 (*.f64 (sin.f64 y) x)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (*.f64 (*.f64 (sin.f64 y) x) (cbrt.f64 (pow.f64 y -2))) (/.f64 1 (cbrt.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 (*.f64 1 (*.f64 (sin.f64 y) x)) (cbrt.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (sin.f64 y) (/.f64 x (cbrt.f64 y))))
(*.f64 (*.f64 (*.f64 (sin.f64 y) x) (pow.f64 y -1/2)) (pow.f64 y -1/2))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 x) y) (*.f64 (sin.f64 y) (sqrt.f64 x)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 (neg.f64 y) (sin.f64 y))) (neg.f64 (sqrt.f64 x)))
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 3)
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3) 1/3)
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2)
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) -1)
(*.f64 (sin.f64 y) (/.f64 x y))
(neg.f64 (/.f64 (sqrt.f64 x) (/.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (sqrt.f64 x))))
(*.f64 (sin.f64 y) (/.f64 x y))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 2))
(fabs.f64 (*.f64 (sin.f64 y) (/.f64 x y)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y)))))
(*.f64 (sin.f64 y) (/.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3))
(*.f64 (sin.f64 y) (/.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 x 3)))
(*.f64 (sin.f64 y) (/.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (sin.f64 y) y) 3)))
(*.f64 (sin.f64 y) (/.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 y) 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)))
(*.f64 (sin.f64 y) (/.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 (/.f64 1 y) 3)))
(*.f64 (sin.f64 y) (/.f64 x y))
(cbrt.f64 (/.f64 (pow.f64 x 3/2) (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3/2) (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (sqrt.f64 x))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 y 3)))
(*.f64 (sin.f64 y) (/.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 1))
(*.f64 (sin.f64 y) (/.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (sin.f64 y) (/.f64 x y))

eval134.0ms (2.1%)

Compiler

Compiled 5231 to 2252 computations (56.9% saved)

prune112.0ms (1.7%)

Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New3703373
Fresh123
Picked145
Done022
Total37211383
Accuracy
100.0%
Counts
383 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.3%
(/.f64 (*.f64 (sin.f64 y) x) y)
33.5%
(/.f64 (*.f64 y x) y)
98.9%
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)))
88.9%
(/.f64 (sin.f64 y) (/.f64 y x))
99.4%
(/.f64 x (/.f64 y (sin.f64 y)))
88.0%
(*.f64 (/.f64 x y) (sin.f64 y))
33.4%
(*.f64 (*.f64 y x) (/.f64 1 y))
88.0%
(*.f64 (sin.f64 y) (*.f64 (/.f64 1 y) x))
99.7%
(*.f64 x (/.f64 (sin.f64 y) y))
99.6%
(*.f64 x (*.f64 (/.f64 1 y) (sin.f64 y)))
42.1%
x
Compiler

Compiled 133 to 85 computations (36.1% saved)

localize108.0ms (1.7%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
99.7%
(*.f64 (/.f64 1 y) x)
88.0%
(*.f64 (sin.f64 y) (*.f64 (/.f64 1 y) x))
88.0%
(*.f64 (/.f64 x y) (sin.f64 y))
75.1%
(*.f64 (*.f64 y x) (/.f64 1 y))
75.3%
(/.f64 (*.f64 y x) y)
88.9%
(/.f64 (sin.f64 y) (/.f64 y x))
Compiler

Compiled 76 to 26 computations (65.8% saved)

series129.0ms (2%)

Counts
6 → 144
Calls

36 calls:

TimeVariablePointExpression
123.0ms
y
@0
(/.f64 (sin.f64 y) (/.f64 y x))
0.0ms
x
@-inf
(*.f64 (/.f64 1 y) x)
0.0ms
y
@-inf
(*.f64 (/.f64 1 y) x)
0.0ms
y
@0
(*.f64 (/.f64 1 y) x)
0.0ms
x
@0
(*.f64 (/.f64 1 y) x)

rewrite141.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
1402×log-prod
733×log1p-expm1-u
733×expm1-log1p-u
364×expm1-udef
364×log1p-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020135
1305135
23332135
Stop Event
node limit
Counts
6 → 295
Calls
Call 1
Inputs
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 y x) y)
(*.f64 (*.f64 y x) (/.f64 1 y))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (*.f64 (/.f64 1 y) x))
(*.f64 (/.f64 1 y) x)
Outputs
(+.f64 0 (*.f64 (sin.f64 y) (/.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y))))) (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 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 1 (*.f64 (sin.f64 y) (/.f64 x y)))
(*.f64 (/.f64 1 y) (*.f64 (sin.f64 y) x))
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 y) (/.f64 1 x)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) (sin.f64 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 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 x y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y x))))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) (sin.f64 y)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (/.f64 (neg.f64 y) x)))
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 1 y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sin.f64 y) (cbrt.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 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 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y)))
(*.f64 (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x 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 (/.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)))
(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 (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)))
(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))))
(+.f64 0 (*.f64 y (/.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 x y)))) 1)
(*.f64 y (/.f64 x y))
(*.f64 x (*.f64 y (/.f64 1 y)))
(*.f64 (*.f64 y x) (/.f64 1 y))
(*.f64 (*.f64 y (/.f64 x y)) 1)
(*.f64 1 (*.f64 y (/.f64 x y)))
(*.f64 (/.f64 1 y) (*.f64 y x))
(*.f64 (/.f64 1 y) (/.f64 y (/.f64 1 x)))
(*.f64 (/.f64 x y) y)
(*.f64 (cbrt.f64 (*.f64 y (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x y))) 2) (cbrt.f64 (*.f64 y (/.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 (cbrt.f64 (*.f64 y x)) (/.f64 1 y)))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 x y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 y (sqrt.f64 (/.f64 y x))))
(*.f64 (sqrt.f64 (*.f64 y (/.f64 x y))) (sqrt.f64 (*.f64 y (/.f64 x y))))
(*.f64 (pow.f64 y -1/2) (/.f64 (*.f64 y x) (sqrt.f64 y)))
(*.f64 (pow.f64 y -1/2) (*.f64 (pow.f64 y -1/2) (*.f64 y x)))
(*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (/.f64 1 y)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x y)))
(*.f64 (*.f64 x (neg.f64 y)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 y x) (cbrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 y (sqrt.f64 y)))
(*.f64 (/.f64 y y) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) y) (/.f64 (cbrt.f64 y) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 y x)))
(*.f64 (/.f64 (sqrt.f64 y) y) (/.f64 (sqrt.f64 y) (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 y x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 y (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 x 1) (/.f64 y y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 y (cbrt.f64 y)))
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(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 y (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (*.f64 y x) (sqrt.f64 y)) (pow.f64 y -1/2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 y (/.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.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))
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(*.f64 (*.f64 y (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
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(*.f64 (*.f64 (/.f64 1 y) (pow.f64 (cbrt.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 y (neg.f64 y)) (neg.f64 x))
(pow.f64 (*.f64 y (/.f64 x y)) 1)
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(pow.f64 (pow.f64 (*.f64 y (/.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 x y))) 2)
(pow.f64 (/.f64 y (*.f64 y x)) -1)
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 x y)) 2))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 x y)) 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 x y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (/.f64 1 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 y) 3) (pow.f64 (*.f64 y x) 3)))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 y x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 y (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 x y))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 x y))))
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(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 x y)))) 1)
(/.f64 y (/.f64 y x))
(/.f64 x (/.f64 y y))
(/.f64 (*.f64 y x) y)
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 1 (/.f64 (/.f64 y (*.f64 y x)) 1))
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(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (/.f64 y x) (cbrt.f64 y)))
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(/.f64 (sqrt.f64 y) (/.f64 (/.f64 y x) (sqrt.f64 y)))
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(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 x (neg.f64 y))) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 y y) (/.f64 1 x))
(/.f64 (/.f64 y (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))
(/.f64 (/.f64 (*.f64 y x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 y x) 1) y)
(/.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (*.f64 (*.f64 y x) -1) (neg.f64 y))
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (/.f64 y x)))
(pow.f64 (*.f64 y (/.f64 x y)) 1)
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(pow.f64 (pow.f64 (*.f64 y (/.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 x y))) 2)
(pow.f64 (/.f64 y (*.f64 y x)) -1)
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 x y)) 2))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 x y)) 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 x y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (/.f64 1 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 y) 3) (pow.f64 (*.f64 y x) 3)))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 y x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 y (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 x y))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 x y))))
(+.f64 0 (*.f64 (sin.f64 y) (/.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y))))) (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 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))
(/.f64 1 (/.f64 (/.f64 (/.f64 y x) (sin.f64 y)) 1))
(/.f64 -1 (neg.f64 (/.f64 (/.f64 y x) (sin.f64 y))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 (/.f64 y x) (cbrt.f64 (sin.f64 y))))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (/.f64 y x) (sqrt.f64 (sin.f64 y))))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 y) x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 1 x))
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (/.f64 (neg.f64 y) x)))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (neg.f64 y))
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y))
(/.f64 (/.f64 (sin.f64 y) 1) (/.f64 y x))
(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (/.f64 y x)))
(/.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)
(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)))
(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 (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)))
(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))))
(+.f64 0 (*.f64 (sin.f64 y) (/.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y))))) (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 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))
(/.f64 1 (/.f64 (/.f64 (/.f64 y x) (sin.f64 y)) 1))
(/.f64 -1 (neg.f64 (/.f64 (/.f64 y x) (sin.f64 y))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 (/.f64 y x) (cbrt.f64 (sin.f64 y))))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (/.f64 y x) (sqrt.f64 (sin.f64 y))))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 y) x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 1 x))
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (/.f64 (neg.f64 y) x)))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (neg.f64 y))
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y))
(/.f64 (/.f64 (sin.f64 y) 1) (/.f64 y x))
(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (/.f64 y x)))
(/.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)
(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)))
(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 (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)))
(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))))
(+.f64 0 (/.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (cbrt.f64 (exp.f64 (/.f64 x y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) 1)
(/.f64 x y)
(/.f64 1 (/.f64 y x))
(/.f64 1 (/.f64 (/.f64 y x) 1))
(/.f64 (/.f64 1 y) (/.f64 1 x))
(/.f64 -1 (/.f64 (neg.f64 y) x))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 y (cbrt.f64 x)))
(/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))
(/.f64 (sqrt.f64 x) (/.f64 y (sqrt.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (/.f64 y x)))
(/.f64 (/.f64 x 1) y)
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (*.f64 x -1) (neg.f64 y))
(pow.f64 (/.f64 y x) -1)
(pow.f64 (/.f64 x y) 1)
(pow.f64 (cbrt.f64 (/.f64 x y)) 3)
(pow.f64 (pow.f64 (/.f64 x y) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x y)) 2)
(neg.f64 (/.f64 x (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 x y) 2))
(log.f64 (exp.f64 (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 x y) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 y) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) 1))
(log1p.f64 (expm1.f64 (/.f64 x y)))

simplify193.0ms (3%)

Algorithm
egg-herbie
Rules
1394×log-prod
1092×associate-*l*
728×times-frac
692×log-div
658×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04738405
111398150
262078150
Stop Event
node limit
Counts
439 → 246
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 -1/6 (*.f64 x (pow.f64 y 2))))
(+.f64 x (+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 2))) (*.f64 1/120 (*.f64 x (pow.f64 y 4)))))
(+.f64 x (+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 2))) (+.f64 (*.f64 -1/5040 (*.f64 x (pow.f64 y 6))) (*.f64 1/120 (*.f64 x (pow.f64 y 4))))))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
x
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x
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
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(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (/.f64 y x) (sqrt.f64 (sin.f64 y))))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 y) x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 1 x))
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (/.f64 (neg.f64 y) x)))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (neg.f64 y))
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y))
(/.f64 (/.f64 (sin.f64 y) 1) (/.f64 y x))
(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (/.f64 y x)))
(/.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)
(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)))
(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 (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)))
(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))))
(+.f64 0 (*.f64 (sin.f64 y) (/.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y))))) (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 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))
(/.f64 1 (/.f64 (/.f64 (/.f64 y x) (sin.f64 y)) 1))
(/.f64 -1 (neg.f64 (/.f64 (/.f64 y x) (sin.f64 y))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 (/.f64 y x) (cbrt.f64 (sin.f64 y))))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (/.f64 y x) (sqrt.f64 (sin.f64 y))))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 y) x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 1 x))
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (/.f64 (neg.f64 y) x)))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (neg.f64 y))
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y))
(/.f64 (/.f64 (sin.f64 y) 1) (/.f64 y x))
(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (/.f64 y x)))
(/.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)
(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)))
(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 (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)))
(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))))
(+.f64 0 (/.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (cbrt.f64 (exp.f64 (/.f64 x y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) 1)
(/.f64 x y)
(/.f64 1 (/.f64 y x))
(/.f64 1 (/.f64 (/.f64 y x) 1))
(/.f64 (/.f64 1 y) (/.f64 1 x))
(/.f64 -1 (/.f64 (neg.f64 y) x))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 y (cbrt.f64 x)))
(/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))
(/.f64 (sqrt.f64 x) (/.f64 y (sqrt.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (/.f64 y x)))
(/.f64 (/.f64 x 1) y)
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (*.f64 x -1) (neg.f64 y))
(pow.f64 (/.f64 y x) -1)
(pow.f64 (/.f64 x y) 1)
(pow.f64 (cbrt.f64 (/.f64 x y)) 3)
(pow.f64 (pow.f64 (/.f64 x y) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x y)) 2)
(neg.f64 (/.f64 x (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 x y) 2))
(log.f64 (exp.f64 (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 x y) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 y) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) 1))
(log1p.f64 (expm1.f64 (/.f64 x y)))
Outputs
x
(+.f64 x (*.f64 -1/6 (*.f64 x (pow.f64 y 2))))
(+.f64 x (*.f64 (*.f64 -1/6 x) (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 x (pow.f64 y 2)) x)
(fma.f64 x (*.f64 (pow.f64 y 2) -1/6) x)
(+.f64 x (+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 2))) (*.f64 1/120 (*.f64 x (pow.f64 y 4)))))
(+.f64 x (fma.f64 -1/6 (*.f64 x (pow.f64 y 2)) (*.f64 (*.f64 1/120 x) (pow.f64 y 4))))
(+.f64 x (fma.f64 -1/6 (*.f64 x (pow.f64 y 2)) (*.f64 (pow.f64 y 4) (*.f64 x 1/120))))
(+.f64 x (+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 2))) (+.f64 (*.f64 -1/5040 (*.f64 x (pow.f64 y 6))) (*.f64 1/120 (*.f64 x (pow.f64 y 4))))))
(+.f64 x (fma.f64 -1/6 (*.f64 x (pow.f64 y 2)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 6)) (*.f64 (*.f64 1/120 x) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/6 (*.f64 x (pow.f64 y 2)) x) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (*.f64 x (*.f64 (pow.f64 y 6) -1/5040))))
(+.f64 (fma.f64 x (*.f64 (pow.f64 y 2) -1/6) x) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (*.f64 x (*.f64 (pow.f64 y 6) -1/5040))))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
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
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 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
x
(+.f64 x (*.f64 -1/6 (*.f64 x (pow.f64 y 2))))
(+.f64 x (*.f64 (*.f64 -1/6 x) (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 x (pow.f64 y 2)) x)
(fma.f64 x (*.f64 (pow.f64 y 2) -1/6) x)
(+.f64 x (+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 2))) (*.f64 1/120 (*.f64 x (pow.f64 y 4)))))
(+.f64 x (fma.f64 -1/6 (*.f64 x (pow.f64 y 2)) (*.f64 (*.f64 1/120 x) (pow.f64 y 4))))
(+.f64 x (fma.f64 -1/6 (*.f64 x (pow.f64 y 2)) (*.f64 (pow.f64 y 4) (*.f64 x 1/120))))
(+.f64 x (+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 2))) (+.f64 (*.f64 -1/5040 (*.f64 x (pow.f64 y 6))) (*.f64 1/120 (*.f64 x (pow.f64 y 4))))))
(+.f64 x (fma.f64 -1/6 (*.f64 x (pow.f64 y 2)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 6)) (*.f64 (*.f64 1/120 x) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/6 (*.f64 x (pow.f64 y 2)) x) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (*.f64 x (*.f64 (pow.f64 y 6) -1/5040))))
(+.f64 (fma.f64 x (*.f64 (pow.f64 y 2) -1/6) x) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (*.f64 x (*.f64 (pow.f64 y 6) -1/5040))))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
x
(+.f64 x (*.f64 -1/6 (*.f64 x (pow.f64 y 2))))
(+.f64 x (*.f64 (*.f64 -1/6 x) (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 x (pow.f64 y 2)) x)
(fma.f64 x (*.f64 (pow.f64 y 2) -1/6) x)
(+.f64 x (+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 2))) (*.f64 1/120 (*.f64 x (pow.f64 y 4)))))
(+.f64 x (fma.f64 -1/6 (*.f64 x (pow.f64 y 2)) (*.f64 (*.f64 1/120 x) (pow.f64 y 4))))
(+.f64 x (fma.f64 -1/6 (*.f64 x (pow.f64 y 2)) (*.f64 (pow.f64 y 4) (*.f64 x 1/120))))
(+.f64 x (+.f64 (*.f64 -1/6 (*.f64 x (pow.f64 y 2))) (+.f64 (*.f64 -1/5040 (*.f64 x (pow.f64 y 6))) (*.f64 1/120 (*.f64 x (pow.f64 y 4))))))
(+.f64 x (fma.f64 -1/6 (*.f64 x (pow.f64 y 2)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 6)) (*.f64 (*.f64 1/120 x) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/6 (*.f64 x (pow.f64 y 2)) x) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (*.f64 x (*.f64 (pow.f64 y 6) -1/5040))))
(+.f64 (fma.f64 x (*.f64 (pow.f64 y 2) -1/6) x) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (*.f64 x (*.f64 (pow.f64 y 6) -1/5040))))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
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(/.f64 (sqrt.f64 y) (/.f64 (/.f64 y x) (sqrt.f64 y)))
x
(/.f64 (neg.f64 y) (/.f64 (neg.f64 y) x))
x
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 y))
x
(/.f64 (neg.f64 (*.f64 x (neg.f64 y))) (neg.f64 (neg.f64 y)))
x
(/.f64 (/.f64 y y) (/.f64 1 x))
x
(/.f64 (/.f64 y (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))
x
(/.f64 (/.f64 (*.f64 y x) (sqrt.f64 y)) (sqrt.f64 y))
x
(/.f64 (/.f64 (*.f64 y x) 1) y)
x
(/.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
x
(/.f64 (*.f64 (*.f64 y x) -1) (neg.f64 y))
x
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (/.f64 y x)))
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
(pow.f64 (/.f64 y (*.f64 y x)) -1)
x
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 y)))
x
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 x y)) 2))
(sqrt.f64 (pow.f64 x 2))
(fabs.f64 x)
(log.f64 (pow.f64 (exp.f64 y) (/.f64 x y)))
x
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 x y)))))
x
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 x y)) 3))
x
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 x y) 3)))
x
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (/.f64 1 y) 3)))
x
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 y) 3) (pow.f64 (*.f64 y x) 3)))
x
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 y x) 3)))
x
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)))
x
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 x y))))
x
(exp.f64 (log.f64 (*.f64 y (/.f64 x y))))
x
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 x y))) 1))
x
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 x y))))
x
(+.f64 0 (*.f64 (sin.f64 y) (/.f64 x y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y))))) (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 2 (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 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 1 (/.f64 (/.f64 (/.f64 y x) (sin.f64 y)) 1))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 -1 (neg.f64 (/.f64 (/.f64 y x) (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 (/.f64 y x) (cbrt.f64 (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (/.f64 y x) (sqrt.f64 (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 y) x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 1 x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (/.f64 (neg.f64 y) x)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (neg.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (neg.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (/.f64 (sin.f64 y) 1) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (/.f64 y x)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) 1) y)
(*.f64 (sin.f64 y) (/.f64 x 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 (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 3)
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3) 1/3)
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2)
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) -1)
(*.f64 (sin.f64 y) (/.f64 x y))
(neg.f64 (/.f64 (sin.f64 y) (/.f64 (neg.f64 y) x)))
(*.f64 (sin.f64 y) (/.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 2))
(fabs.f64 (*.f64 (sin.f64 y) (/.f64 x y)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y)))))
(*.f64 (sin.f64 y) (/.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3))
(*.f64 (sin.f64 y) (/.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 x y) 3)))
(*.f64 (sin.f64 y) (/.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (sin.f64 y) 3)))
(*.f64 (sin.f64 y) (/.f64 x y))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 y x) 3)))
(*.f64 (sin.f64 y) (/.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 1))
(*.f64 (sin.f64 y) (/.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(+.f64 0 (*.f64 (sin.f64 y) (/.f64 x y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y))))) (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 2 (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 (sin.f64 y) (/.f64 x y))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 1 (/.f64 (/.f64 (/.f64 y x) (sin.f64 y)) 1))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 -1 (neg.f64 (/.f64 (/.f64 y x) (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 (/.f64 y x) (cbrt.f64 (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (/.f64 y x) (sqrt.f64 (sin.f64 y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 y) x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 1 x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (/.f64 (neg.f64 y) x)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (neg.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (neg.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (/.f64 (sin.f64 y) 1) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (/.f64 y x)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) 1) y)
(*.f64 (sin.f64 y) (/.f64 x 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 (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 3)
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3) 1/3)
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2)
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) -1)
(*.f64 (sin.f64 y) (/.f64 x y))
(neg.f64 (/.f64 (sin.f64 y) (/.f64 (neg.f64 y) x)))
(*.f64 (sin.f64 y) (/.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 2))
(fabs.f64 (*.f64 (sin.f64 y) (/.f64 x y)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 x y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y)))))
(*.f64 (sin.f64 y) (/.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3))
(*.f64 (sin.f64 y) (/.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 x y) 3)))
(*.f64 (sin.f64 y) (/.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (sin.f64 y) 3)))
(*.f64 (sin.f64 y) (/.f64 x y))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 y x) 3)))
(*.f64 (sin.f64 y) (/.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 1))
(*.f64 (sin.f64 y) (/.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(+.f64 0 (/.f64 x y))
(/.f64 x y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (cbrt.f64 (exp.f64 (/.f64 x y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x y)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) 1)
(/.f64 x y)
(/.f64 x y)
(/.f64 1 (/.f64 y x))
(/.f64 x y)
(/.f64 1 (/.f64 (/.f64 y x) 1))
(/.f64 x y)
(/.f64 (/.f64 1 y) (/.f64 1 x))
(/.f64 x y)
(/.f64 -1 (/.f64 (neg.f64 y) x))
(/.f64 x y)
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 y (cbrt.f64 x)))
(/.f64 x y)
(/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 y x)))
(/.f64 (sqrt.f64 x) (/.f64 y (sqrt.f64 x)))
(/.f64 x y)
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(/.f64 x y)
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 x y)
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (/.f64 y x)))
(/.f64 x y)
(/.f64 (/.f64 x 1) y)
(/.f64 x y)
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 x y)
(/.f64 (*.f64 x -1) (neg.f64 y))
(/.f64 x y)
(pow.f64 (/.f64 y x) -1)
(/.f64 x y)
(pow.f64 (/.f64 x y) 1)
(/.f64 x y)
(pow.f64 (cbrt.f64 (/.f64 x y)) 3)
(/.f64 x y)
(pow.f64 (pow.f64 (/.f64 x y) 3) 1/3)
(/.f64 x y)
(pow.f64 (sqrt.f64 (/.f64 x y)) 2)
(/.f64 x y)
(neg.f64 (/.f64 x (neg.f64 y)))
(/.f64 x y)
(sqrt.f64 (pow.f64 (/.f64 x y) 2))
(fabs.f64 (/.f64 x y))
(log.f64 (exp.f64 (/.f64 x y)))
(/.f64 x y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x y))))
(/.f64 x y)
(cbrt.f64 (pow.f64 (/.f64 x y) 3))
(/.f64 x y)
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 y) 3)))
(/.f64 x y)
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 y) 3) (pow.f64 x 3)))
(/.f64 x y)
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(/.f64 x y)
(expm1.f64 (log1p.f64 (/.f64 x y)))
(/.f64 x y)
(exp.f64 (log.f64 (/.f64 x y)))
(/.f64 x y)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) 1))
(/.f64 x y)
(log1p.f64 (expm1.f64 (/.f64 x y)))
(/.f64 x y)

eval80.0ms (1.2%)

Compiler

Compiled 2660 to 968 computations (63.6% saved)

prune42.0ms (0.6%)

Pruning

16 alts after pruning (6 fresh and 10 done)

PrunedKeptTotal
New2406246
Fresh000
Picked145
Done066
Total24116257
Accuracy
100.0%
Counts
257 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.0%
(/.f64 (/.f64 y y) (/.f64 1 x))
91.3%
(/.f64 (*.f64 (sin.f64 y) x) y)
33.5%
(/.f64 (*.f64 y x) y)
98.9%
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)))
88.9%
(/.f64 (sin.f64 y) (/.f64 y x))
45.7%
(/.f64 y (/.f64 y x))
99.4%
(/.f64 x (/.f64 y (sin.f64 y)))
33.4%
(/.f64 1 (/.f64 y (*.f64 y x)))
88.0%
(*.f64 (/.f64 x y) (sin.f64 y))
43.5%
(*.f64 (/.f64 x y) y)
33.3%
(*.f64 (/.f64 1 y) (/.f64 y (/.f64 1 x)))
42.0%
(*.f64 (*.f64 (/.f64 1 y) y) x)
88.0%
(*.f64 (sin.f64 y) (*.f64 (/.f64 1 y) x))
99.7%
(*.f64 x (/.f64 (sin.f64 y) y))
99.6%
(*.f64 x (*.f64 (/.f64 1 y) (sin.f64 y)))
42.1%
x
Compiler

Compiled 186 to 120 computations (35.5% saved)

localize93.0ms (1.4%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
99.8%
(/.f64 (/.f64 y y) (/.f64 1 x))
99.8%
(/.f64 1 (/.f64 y (*.f64 y x)))
75.1%
(/.f64 y (*.f64 y x))
99.7%
(*.f64 (/.f64 1 y) y)
74.1%
(*.f64 (/.f64 x y) y)
74.6%
(/.f64 y (/.f64 y x))
Compiler

Compiled 75 to 29 computations (61.3% saved)

series2.0ms (0%)

Counts
6 → 132
Calls

33 calls:

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

rewrite135.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
1138×log-prod
921×log1p-expm1-u
921×expm1-log1p-u
286×expm1-udef
286×log1p-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02027
135627
2303527
Stop Event
node limit
Counts
6 → 330
Calls
Call 1
Inputs
(/.f64 y (/.f64 y x))
(*.f64 (/.f64 x y) y)
(*.f64 (/.f64 1 y) y)
(/.f64 y (*.f64 y x))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 (/.f64 y y) (/.f64 1 x))
Outputs
(+.f64 0 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 x)) 1)
(*.f64 y (/.f64 x y))
(*.f64 x 1)
(*.f64 (/.f64 x y) y)
(*.f64 1 x)
(*.f64 (/.f64 1 y) (*.f64 y x))
(*.f64 (/.f64 1 y) (pow.f64 (/.f64 1 (*.f64 y x)) -1))
(*.f64 (*.f64 y x) (/.f64 1 y))
(*.f64 -1 (neg.f64 x))
(*.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) y))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 x y)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (pow.f64 y -1/2) (/.f64 (*.f64 y x) (sqrt.f64 y)))
(*.f64 (pow.f64 y -1/2) (*.f64 (pow.f64 y -1/2) (*.f64 y x)))
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 y (sqrt.f64 (/.f64 y x))))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) y))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x y)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 y) 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))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) y) (/.f64 (cbrt.f64 y) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 y x)))
(*.f64 (/.f64 (sqrt.f64 y) y) (/.f64 (sqrt.f64 y) (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 y x)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 y (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 y x) (cbrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 y (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 y (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 x))
(*.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) (/.f64 1 x)) (/.f64 (sqrt.f64 y) y))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1 x)) (/.f64 (cbrt.f64 y) y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 y (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.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 1 (neg.f64 y)) (*.f64 y (neg.f64 x)))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y)))
(*.f64 (*.f64 y (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(*.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 (*.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 (/.f64 1 y) (pow.f64 (cbrt.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 y (neg.f64 y)) (neg.f64 x))
(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)
(neg.f64 (/.f64 y (/.f64 (neg.f64 y) x)))
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 x y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 y 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 y) 3) (pow.f64 (*.f64 y x) 3)))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 y x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)))
x
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1))
(log1p.f64 (expm1.f64 x))
(+.f64 0 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 x)) 1)
(/.f64 y (/.f64 y x))
(/.f64 x 1)
(/.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 1 (/.f64 1 x))
(/.f64 1 (neg.f64 (/.f64 -1 x)))
(/.f64 (/.f64 1 y) (/.f64 1 (*.f64 y x)))
(/.f64 (*.f64 y x) y)
(/.f64 -1 (/.f64 -1 x))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (/.f64 y (cbrt.f64 (*.f64 y x))))
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (/.f64 y x) (cbrt.f64 y)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (cbrt.f64 x)))
(/.f64 (sqrt.f64 (*.f64 y x)) (/.f64 y (sqrt.f64 (*.f64 y x))))
(/.f64 (sqrt.f64 y) (/.f64 (/.f64 y x) (sqrt.f64 y)))
(/.f64 (sqrt.f64 x) (pow.f64 x -1/2))
(/.f64 (neg.f64 y) (/.f64 (neg.f64 y) x))
(/.f64 (neg.f64 x) -1)
(/.f64 (*.f64 y (neg.f64 x)) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (/.f64 (neg.f64 y) x)))
(/.f64 (/.f64 (*.f64 y x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 y (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))
(/.f64 (/.f64 (*.f64 y x) 1) y)
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (/.f64 y x)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(/.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(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)
(neg.f64 (/.f64 y (/.f64 (neg.f64 y) x)))
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 x y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 y 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 y) 3) (pow.f64 (*.f64 y x) 3)))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 y x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)))
x
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1))
(log1p.f64 (expm1.f64 x))
1
(+.f64 0 (/.f64 1 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 x))) (cbrt.f64 (exp.f64 (/.f64 1 x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1)
(*.f64 y (/.f64 1 (*.f64 y x)))
(*.f64 (/.f64 y x) (/.f64 1 y))
(*.f64 1 (/.f64 1 x))
(*.f64 (/.f64 1 y) (/.f64 y x))
(*.f64 (/.f64 1 x) 1)
(*.f64 -1 (/.f64 -1 x))
(*.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (*.f64 y x))))
(*.f64 (pow.f64 x -1/2) (pow.f64 x -1/2))
(*.f64 (pow.f64 y -1/2) (/.f64 (/.f64 y x) (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (*.f64 y x))))
(*.f64 (neg.f64 y) (/.f64 1 (*.f64 y (neg.f64 x))))
(*.f64 (/.f64 1 (*.f64 y x)) y)
(*.f64 (pow.f64 (/.f64 1 y) -1) (/.f64 1 (*.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1))
(*.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) y) (/.f64 (cbrt.f64 y) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 y x)))
(*.f64 (/.f64 (sqrt.f64 y) y) (/.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 y x)))
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) y))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 y)))
(*.f64 (/.f64 y (sqrt.f64 y)) (/.f64 (/.f64 1 x) (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 y x) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 y x)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.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 1 (pow.f64 (cbrt.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) x) (/.f64 (cbrt.f64 y) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (/.f64 1 (cbrt.f64 x)))
(*.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) (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 y x))))
(*.f64 (/.f64 1 (neg.f64 y)) (/.f64 (neg.f64 y) x))
(pow.f64 x -1)
(pow.f64 (/.f64 1 x) 1)
(pow.f64 (/.f64 1 (cbrt.f64 x)) 3)
(pow.f64 (pow.f64 (/.f64 1 x) 3) 1/3)
(pow.f64 (pow.f64 x -1/2) 2)
(neg.f64 (/.f64 y (*.f64 y (neg.f64 x))))
(sqrt.f64 (pow.f64 x -2))
(log.f64 (exp.f64 (/.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 1 x) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y x) 3) (pow.f64 y 3)))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 1 x)))
(+.f64 0 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 x)) 1)
(*.f64 y (/.f64 x y))
(*.f64 x 1)
(*.f64 (/.f64 x y) y)
(*.f64 1 x)
(*.f64 (/.f64 1 y) (*.f64 y x))
(*.f64 (/.f64 1 y) (pow.f64 (/.f64 1 (*.f64 y x)) -1))
(*.f64 (*.f64 y x) (/.f64 1 y))
(*.f64 -1 (neg.f64 x))
(*.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) y))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 x y)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (pow.f64 y -1/2) (/.f64 (*.f64 y x) (sqrt.f64 y)))
(*.f64 (pow.f64 y -1/2) (*.f64 (pow.f64 y -1/2) (*.f64 y x)))
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 y (sqrt.f64 (/.f64 y x))))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) y))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x y)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 y) 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))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) y) (/.f64 (cbrt.f64 y) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 y x)))
(*.f64 (/.f64 (sqrt.f64 y) y) (/.f64 (sqrt.f64 y) (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 y x)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 y (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 y x) (cbrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 y (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 y (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 x))
(*.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) (/.f64 1 x)) (/.f64 (sqrt.f64 y) y))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1 x)) (/.f64 (cbrt.f64 y) y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 y (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.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 1 (neg.f64 y)) (*.f64 y (neg.f64 x)))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y)))
(*.f64 (*.f64 y (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(*.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 (*.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 (/.f64 1 y) (pow.f64 (cbrt.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 y (neg.f64 y)) (neg.f64 x))
(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)
(neg.f64 (/.f64 y (/.f64 (neg.f64 y) x)))
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 x y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 y 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 y) 3) (pow.f64 (*.f64 y x) 3)))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 y x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)))
x
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1))
(log1p.f64 (expm1.f64 x))
(+.f64 0 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 x)) 1)
(*.f64 y (/.f64 x y))
(*.f64 x 1)
(*.f64 (/.f64 x y) y)
(*.f64 1 x)
(*.f64 (/.f64 1 y) (*.f64 y x))
(*.f64 (/.f64 1 y) (pow.f64 (/.f64 1 (*.f64 y x)) -1))
(*.f64 (*.f64 y x) (/.f64 1 y))
(*.f64 -1 (neg.f64 x))
(*.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) y))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 x y)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (pow.f64 y -1/2) (/.f64 (*.f64 y x) (sqrt.f64 y)))
(*.f64 (pow.f64 y -1/2) (*.f64 (pow.f64 y -1/2) (*.f64 y x)))
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 y (sqrt.f64 (/.f64 y x))))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) y))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x y)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 y) 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))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) y) (/.f64 (cbrt.f64 y) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 y x)))
(*.f64 (/.f64 (sqrt.f64 y) y) (/.f64 (sqrt.f64 y) (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 y x)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 y (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 y x) (cbrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 y (sqrt.f64 y)))
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(*.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) (/.f64 1 x)) (/.f64 (sqrt.f64 y) y))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1 x)) (/.f64 (cbrt.f64 y) y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 y (cbrt.f64 y)))
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(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (neg.f64 y)) (*.f64 y (neg.f64 x)))
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(*.f64 (*.f64 y (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(*.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 (*.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
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(*.f64 (/.f64 y (neg.f64 y)) (neg.f64 x))
(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)
(neg.f64 (/.f64 y (/.f64 (neg.f64 y) x)))
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 x y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 y 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 y) 3) (pow.f64 (*.f64 y x) 3)))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 y x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)))
x
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1))
(log1p.f64 (expm1.f64 x))

simplify148.0ms (2.3%)

Algorithm
egg-herbie
Rules
862×cube-prod
778×div-sub
706×log-prod
664×exp-prod
628×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03503834
18913611
242243603
Stop Event
node limit
Counts
462 → 190
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
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x
x
x
1
1
1
1
1
1
1
1
1
1
1
1
(/.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
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x
(+.f64 0 x)
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 x)) 1)
(*.f64 y (/.f64 x y))
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(*.f64 1 x)
(*.f64 (/.f64 1 y) (*.f64 y x))
(*.f64 (/.f64 1 y) (pow.f64 (/.f64 1 (*.f64 y x)) -1))
(*.f64 (*.f64 y x) (/.f64 1 y))
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(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 y (sqrt.f64 (/.f64 y x))))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) y))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x y)))
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(exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1))
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1
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(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1)
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 y x) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 y x)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.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 1 (pow.f64 (cbrt.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) x) (/.f64 (cbrt.f64 y) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (/.f64 1 (cbrt.f64 x)))
(*.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) (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 y x))))
(*.f64 (/.f64 1 (neg.f64 y)) (/.f64 (neg.f64 y) x))
(pow.f64 x -1)
(pow.f64 (/.f64 1 x) 1)
(pow.f64 (/.f64 1 (cbrt.f64 x)) 3)
(pow.f64 (pow.f64 (/.f64 1 x) 3) 1/3)
(pow.f64 (pow.f64 x -1/2) 2)
(neg.f64 (/.f64 y (*.f64 y (neg.f64 x))))
(sqrt.f64 (pow.f64 x -2))
(log.f64 (exp.f64 (/.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 1 x) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y x) 3) (pow.f64 y 3)))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 x)))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 1 x)))
(+.f64 0 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 x)) 1)
(*.f64 y (/.f64 x y))
(*.f64 x 1)
(*.f64 (/.f64 x y) y)
(*.f64 1 x)
(*.f64 (/.f64 1 y) (*.f64 y x))
(*.f64 (/.f64 1 y) (pow.f64 (/.f64 1 (*.f64 y x)) -1))
(*.f64 (*.f64 y x) (/.f64 1 y))
(*.f64 -1 (neg.f64 x))
(*.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) y))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 x y)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (pow.f64 y -1/2) (/.f64 (*.f64 y x) (sqrt.f64 y)))
(*.f64 (pow.f64 y -1/2) (*.f64 (pow.f64 y -1/2) (*.f64 y x)))
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 y (sqrt.f64 (/.f64 y x))))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) y))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x y)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 y) 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))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) y) (/.f64 (cbrt.f64 y) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 y x)))
(*.f64 (/.f64 (sqrt.f64 y) y) (/.f64 (sqrt.f64 y) (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 y x)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 y (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 y x) (cbrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 y (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 y (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 x))
(*.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) (/.f64 1 x)) (/.f64 (sqrt.f64 y) y))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1 x)) (/.f64 (cbrt.f64 y) y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 y (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.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 1 (neg.f64 y)) (*.f64 y (neg.f64 x)))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y)))
(*.f64 (*.f64 y (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(*.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 (*.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 (/.f64 1 y) (pow.f64 (cbrt.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 y (neg.f64 y)) (neg.f64 x))
(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)
(neg.f64 (/.f64 y (/.f64 (neg.f64 y) x)))
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 x y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 y 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 y) 3) (pow.f64 (*.f64 y x) 3)))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 y x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1))
(log1p.f64 (expm1.f64 x))
(+.f64 0 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 x)) 1)
(*.f64 y (/.f64 x y))
(*.f64 x 1)
(*.f64 (/.f64 x y) y)
(*.f64 1 x)
(*.f64 (/.f64 1 y) (*.f64 y x))
(*.f64 (/.f64 1 y) (pow.f64 (/.f64 1 (*.f64 y x)) -1))
(*.f64 (*.f64 y x) (/.f64 1 y))
(*.f64 -1 (neg.f64 x))
(*.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) y))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 x y)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (pow.f64 y -1/2) (/.f64 (*.f64 y x) (sqrt.f64 y)))
(*.f64 (pow.f64 y -1/2) (*.f64 (pow.f64 y -1/2) (*.f64 y x)))
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 y (sqrt.f64 (/.f64 y x))))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) y))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x y)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 y) 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))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) y) (/.f64 (cbrt.f64 y) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 y x)))
(*.f64 (/.f64 (sqrt.f64 y) y) (/.f64 (sqrt.f64 y) (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 y x)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 y (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 y x) (cbrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 y (sqrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 y (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 x))
(*.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) (/.f64 1 x)) (/.f64 (sqrt.f64 y) y))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1 x)) (/.f64 (cbrt.f64 y) y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 y (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.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 1 (neg.f64 y)) (*.f64 y (neg.f64 x)))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y)))
(*.f64 (*.f64 y (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
(*.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 (*.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 (/.f64 1 y) (pow.f64 (cbrt.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 y (neg.f64 y)) (neg.f64 x))
(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)
(neg.f64 (/.f64 y (/.f64 (neg.f64 y) x)))
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 x y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 y 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 y) 3) (pow.f64 (*.f64 y x) 3)))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 y x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1))
(log1p.f64 (expm1.f64 x))
Outputs
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1
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(/.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
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x
x
x
x
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x
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x
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x
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x
x
x
x
x
x
(+.f64 0 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 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) 2)
(-.f64 (exp.f64 (log1p.f64 x)) 1)
x
(*.f64 y (/.f64 x y))
x
(*.f64 x 1)
x
(*.f64 (/.f64 x y) y)
x
(*.f64 1 x)
x
(*.f64 (/.f64 1 y) (*.f64 y x))
x
(*.f64 (/.f64 1 y) (pow.f64 (/.f64 1 (*.f64 y x)) -1))
x
(*.f64 (*.f64 y x) (/.f64 1 y))
x
(*.f64 -1 (neg.f64 x))
x
(*.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 y x)))
(*.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (*.f64 x y) (/.f64 1 (cbrt.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 x (/.f64 (cbrt.f64 y) y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) y))
x
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 x y)))
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
x
(*.f64 (pow.f64 y -1/2) (/.f64 (*.f64 y x) (sqrt.f64 y)))
(/.f64 (*.f64 (*.f64 x y) (pow.f64 y -1/2)) (sqrt.f64 y))
(/.f64 (*.f64 x (pow.f64 y 1/2)) (sqrt.f64 y))
(/.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x))
(*.f64 (pow.f64 y -1/2) (*.f64 (pow.f64 y -1/2) (*.f64 y x)))
x
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 y (sqrt.f64 (/.f64 y x))))
(/.f64 (*.f64 y (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 y x)))
(/.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 y x)) y))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) y))
x
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x y)))
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 y) 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))
(pow.f64 (pow.f64 x -1/2) -2)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) y) (/.f64 (cbrt.f64 y) (/.f64 1 x)))
x
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(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 y x)))
x
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
x
(*.f64 (/.f64 y (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
x
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 y x) (cbrt.f64 y)))
x
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 y (sqrt.f64 y)))
x
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 y (cbrt.f64 (/.f64 y x))))
x
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 y x))))
x
(*.f64 (/.f64 (sqrt.f64 y) (/.f64 1 x)) (/.f64 (sqrt.f64 y) y))
x
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 y x))))
x
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1 x)) (/.f64 (cbrt.f64 y) y))
x
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 y (cbrt.f64 y)))
x
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) y))
x
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 y)))
x
(*.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 1 (neg.f64 y)) (*.f64 y (neg.f64 x)))
x
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y)))
x
(*.f64 (*.f64 y (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
x
(*.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
x
(*.f64 (*.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
x
(*.f64 (*.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (cbrt.f64 (*.f64 y x)))
x
(*.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)))
x
(*.f64 (/.f64 y (neg.f64 y)) (neg.f64 x))
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
(neg.f64 (/.f64 y (/.f64 (neg.f64 y) x)))
x
(sqrt.f64 (pow.f64 x 2))
x
(log.f64 (exp.f64 x))
x
(log.f64 (+.f64 1 (expm1.f64 x)))
x
(cbrt.f64 (pow.f64 x 3))
x
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 x y) 3)))
x
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 y 3)))
x
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 y) 3) (pow.f64 (*.f64 y x) 3)))
x
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 y x) 3)))
x
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)))
x
(expm1.f64 (log1p.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 x) 1))
x
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1))
x
(log1p.f64 (expm1.f64 x))
x
(+.f64 0 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 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) 2)
(-.f64 (exp.f64 (log1p.f64 x)) 1)
x
(*.f64 y (/.f64 x y))
x
(*.f64 x 1)
x
(*.f64 (/.f64 x y) y)
x
(*.f64 1 x)
x
(*.f64 (/.f64 1 y) (*.f64 y x))
x
(*.f64 (/.f64 1 y) (pow.f64 (/.f64 1 (*.f64 y x)) -1))
x
(*.f64 (*.f64 y x) (/.f64 1 y))
x
(*.f64 -1 (neg.f64 x))
x
(*.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 y x)))
(*.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (*.f64 x y) (/.f64 1 (cbrt.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 x (/.f64 (cbrt.f64 y) y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) y))
x
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 x y)))
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
x
(*.f64 (pow.f64 y -1/2) (/.f64 (*.f64 y x) (sqrt.f64 y)))
(/.f64 (*.f64 (*.f64 x y) (pow.f64 y -1/2)) (sqrt.f64 y))
(/.f64 (*.f64 x (pow.f64 y 1/2)) (sqrt.f64 y))
(/.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x))
(*.f64 (pow.f64 y -1/2) (*.f64 (pow.f64 y -1/2) (*.f64 y x)))
x
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 y (sqrt.f64 (/.f64 y x))))
(/.f64 (*.f64 y (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 y x)))
(/.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 y x)) y))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) y))
x
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x y)))
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 y) 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))
(pow.f64 (pow.f64 x -1/2) -2)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) y) (/.f64 (cbrt.f64 y) (/.f64 1 x)))
x
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 y x)))
x
(*.f64 (/.f64 (sqrt.f64 y) y) (/.f64 (sqrt.f64 y) (/.f64 1 x)))
x
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 y x)))
x
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
x
(*.f64 (/.f64 y (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
x
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 y x) (cbrt.f64 y)))
x
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 y (sqrt.f64 y)))
x
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 y (cbrt.f64 (/.f64 y x))))
x
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 y x))))
x
(*.f64 (/.f64 (sqrt.f64 y) (/.f64 1 x)) (/.f64 (sqrt.f64 y) y))
x
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 y x))))
x
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1 x)) (/.f64 (cbrt.f64 y) y))
x
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 y (cbrt.f64 y)))
x
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) y))
x
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 y)))
x
(*.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 1 (neg.f64 y)) (*.f64 y (neg.f64 x)))
x
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y)))
x
(*.f64 (*.f64 y (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))
x
(*.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
x
(*.f64 (*.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
x
(*.f64 (*.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (cbrt.f64 (*.f64 y x)))
x
(*.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)))
x
(*.f64 (/.f64 y (neg.f64 y)) (neg.f64 x))
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
(neg.f64 (/.f64 y (/.f64 (neg.f64 y) x)))
x
(sqrt.f64 (pow.f64 x 2))
x
(log.f64 (exp.f64 x))
x
(log.f64 (+.f64 1 (expm1.f64 x)))
x
(cbrt.f64 (pow.f64 x 3))
x
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 x y) 3)))
x
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 y 3)))
x
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 y) 3) (pow.f64 (*.f64 y x) 3)))
x
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 y x) 3)))
x
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)))
x
(expm1.f64 (log1p.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 x) 1))
x
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1))
x
(log1p.f64 (expm1.f64 x))
x

eval394.0ms (6.1%)

Compiler

Compiled 1906 to 960 computations (49.6% saved)

prune41.0ms (0.6%)

Pruning

21 alts after pruning (7 fresh and 14 done)

PrunedKeptTotal
New1846190
Fresh011
Picked145
Done01010
Total18521206
Accuracy
100.0%
Counts
206 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.4%
(/.f64 (/.f64 x y) (/.f64 1 y))
33.0%
(/.f64 (/.f64 1 y) (/.f64 1 (*.f64 y x)))
91.3%
(/.f64 (*.f64 (sin.f64 y) x) y)
33.5%
(/.f64 (*.f64 y x) y)
98.9%
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)))
88.9%
(/.f64 (sin.f64 y) (/.f64 y x))
45.7%
(/.f64 y (/.f64 y x))
99.4%
(/.f64 x (/.f64 y (sin.f64 y)))
33.4%
(/.f64 1 (/.f64 y (*.f64 y x)))
42.0%
(/.f64 1 (/.f64 1 x))
45.6%
(/.f64 1 (*.f64 (/.f64 y x) (/.f64 1 y)))
33.1%
(/.f64 1 (*.f64 (/.f64 1 (*.f64 y x)) y))
88.0%
(*.f64 (/.f64 x y) (sin.f64 y))
43.5%
(*.f64 (/.f64 x y) y)
33.3%
(*.f64 (/.f64 1 y) (/.f64 y (/.f64 1 x)))
42.0%
(*.f64 (*.f64 (/.f64 1 y) y) x)
88.0%
(*.f64 (sin.f64 y) (*.f64 (/.f64 1 y) x))
44.6%
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 y) x)))
99.7%
(*.f64 x (/.f64 (sin.f64 y) y))
99.6%
(*.f64 x (*.f64 (/.f64 1 y) (sin.f64 y)))
42.1%
x
Compiler

Compiled 361 to 205 computations (43.2% saved)

regimes55.0ms (0.8%)

Counts
25 → 1
Calls
Call 1
Inputs
x
(*.f64 (/.f64 x y) y)
(/.f64 1 (/.f64 1 x))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 y x) y)
(*.f64 (*.f64 y x) (/.f64 1 y))
(*.f64 (*.f64 (/.f64 1 y) y) x)
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (/.f64 y y) (/.f64 1 x))
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 y) x)))
(*.f64 (/.f64 1 y) (/.f64 y (/.f64 1 x)))
(/.f64 1 (*.f64 (/.f64 1 (*.f64 y x)) y))
(/.f64 1 (*.f64 (/.f64 y x) (/.f64 1 y)))
(/.f64 (/.f64 1 y) (/.f64 1 (*.f64 y x)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (*.f64 (/.f64 1 y) (sin.f64 y)))
(*.f64 (sin.f64 y) (*.f64 (/.f64 1 y) x))
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 1 y))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 3)
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)))
Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
Calls

4 calls:

18.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
13.0ms
y
12.0ms
x
10.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1(*.f64 x (/.f64 (sin.f64 y) y))
99.7%1(/.f64 (sin.f64 y) y)
Compiler

Compiled 20 to 13 computations (35% saved)

regimes89.0ms (1.4%)

Counts
15 → 2
Calls
Call 1
Inputs
x
(*.f64 (/.f64 x y) y)
(/.f64 1 (/.f64 1 x))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 y x) y)
(*.f64 (*.f64 y x) (/.f64 1 y))
(*.f64 (*.f64 (/.f64 1 y) y) x)
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (/.f64 y y) (/.f64 1 x))
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 y) x)))
(*.f64 (/.f64 1 y) (/.f64 y (/.f64 1 x)))
(/.f64 1 (*.f64 (/.f64 1 (*.f64 y x)) y))
(/.f64 1 (*.f64 (/.f64 y x) (/.f64 1 y)))
(/.f64 (/.f64 1 y) (/.f64 1 (*.f64 y x)))
Outputs
x
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 y) x)))
Calls

2 calls:

72.0ms
y
16.0ms
x
Results
AccuracySegmentsBranch
56.5%2x
56.5%2y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes46.0ms (0.7%)

Counts
10 → 2
Calls
Call 1
Inputs
x
(*.f64 (/.f64 x y) y)
(/.f64 1 (/.f64 1 x))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 y x) y)
(*.f64 (*.f64 y x) (/.f64 1 y))
(*.f64 (*.f64 (/.f64 1 y) y) x)
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 (/.f64 x y) (/.f64 1 y))
(/.f64 (/.f64 y y) (/.f64 1 x))
Outputs
x
(/.f64 y (/.f64 y x))
Calls

1 calls:

45.0ms
y
Results
AccuracySegmentsBranch
56.5%2y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.2%)

Counts
3 → 2
Calls
Call 1
Inputs
x
(*.f64 (/.f64 x y) y)
(/.f64 1 (/.f64 1 x))
Outputs
x
(*.f64 (/.f64 x y) y)
Calls

2 calls:

8.0ms
x
6.0ms
y
Results
AccuracySegmentsBranch
55.1%2x
55.2%2y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
42.1%1x
42.1%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
6.33680963324072e-13
6.514859983474636e-13
Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch15.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
0.00017460944315675144
0.012499505164095367
Results
12.0ms96×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 97 to 65 computations (33% saved)

bsearch7.0ms (0.1%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
7.0ms
4.75454905736565e+18
1.0938061613065818e+26
Results
4.0ms32×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 49 to 33 computations (32.7% saved)

simplify10.0ms (0.2%)

Algorithm
egg-herbie
Rules
28×neg-mul-1
18×unsub-neg
18×*-commutative
12×distribute-lft-neg-out
10×distribute-lft-neg-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032158
146158
256158
367158
473154
578154
697154
7123154
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
(if (<=.f64 y 6437288204283977/9903520314283042199192993792) x (*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 y) x))))
(if (<=.f64 y 6640827866535439/36893488147419103232) x (/.f64 y (/.f64 y x)))
(if (<=.f64 y 40000000000000000000000) x (*.f64 (/.f64 x y) y))
x
Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
(if (<=.f64 y 6437288204283977/9903520314283042199192993792) x (*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 y) x))))
(if (<=.f64 y 6437288204283977/9903520314283042199192993792) x (*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (/.f64 y x)))))
(if (<=.f64 y 6437288204283977/9903520314283042199192993792) x (*.f64 y (/.f64 -1 (neg.f64 (/.f64 y x)))))
(if (<=.f64 y 6640827866535439/36893488147419103232) x (/.f64 y (/.f64 y x)))
(if (<=.f64 y 40000000000000000000000) x (*.f64 (/.f64 x y) y))
(if (<=.f64 y 40000000000000000000000) x (*.f64 y (/.f64 x y)))
x
Compiler

Compiled 50 to 31 computations (38% saved)

soundness1.9s (28.9%)

Rules
2338×fma-def
1402×log-prod
1402×log-prod
1138×log-prod
1106×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01386
116386
2207386
050815954
1126015794
2532315766
020135
1305135
23332135
022190
153190
2123190
3409190
41612190
53251190
63998190
74833190
84986190
95176190
105200190
115306190
125380190
135806190
145806190
155806190
01386
116386
2207386
020135
1305135
23332135
02027
135627
2303527
Stop Event
node limit
node limit
node limit
saturated
node limit
node limit
node limit
Compiler

Compiled 150 to 67 computations (55.3% saved)

end0.0ms (0%)

preprocess46.0ms (0.7%)

Remove

(negabs x)

(abs y)

Compiler

Compiled 196 to 114 computations (41.8% saved)

Profiling

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