Linear.Projection:perspective from linear-1.19.1.3, B

Time bar (total: 4.3s)

analyze14.0ms (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 12 to 8 computations (33.3% saved)

sample1.1s (25.4%)

Results
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Bogosity

preprocess390.0ms (9.1%)

Algorithm
egg-herbie
Rules
1302×fma-neg
804×associate-*l*
798×distribute-lft-in
788×times-frac
744×distribute-rgt-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
650-3(-9.862831718196927e-200 5.776930227631383e-117)(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))
00-0-x
00-0-(*.f64 (*.f64 x 2) y)
00-0-(*.f64 x 2)
00-0-(-.f64 x y)
00-0-2
00-0-y
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028291
175259
2244259
3867259
42600259
53306259
63719259
73865259
83880259
93913259
103925259
114129259
124225259
134225259
144329259
155068259
165076259
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))
(/.f64 (*.f64 (*.f64 (neg.f64 x) 2) y) (-.f64 (neg.f64 x) y))
(/.f64 (*.f64 (*.f64 x 2) (neg.f64 y)) (-.f64 x (neg.f64 y)))
(neg.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) 2) y) (-.f64 (neg.f64 x) y)))
(neg.f64 (/.f64 (*.f64 (*.f64 x 2) (neg.f64 y)) (-.f64 x (neg.f64 y))))
(/.f64 (*.f64 (*.f64 y 2) x) (-.f64 y x))
Outputs
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))
(/.f64 (*.f64 x (*.f64 2 y)) (-.f64 x y))
(/.f64 (*.f64 2 (*.f64 y x)) (-.f64 x y))
(*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))
(*.f64 x (*.f64 y (/.f64 -2 (-.f64 y x))))
(*.f64 x (*.f64 -2 (/.f64 y (-.f64 y x))))
(*.f64 x (*.f64 y (/.f64 2 (-.f64 x y))))
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))
(/.f64 (*.f64 x (*.f64 2 y)) (-.f64 x y))
(/.f64 (*.f64 2 (*.f64 y x)) (-.f64 x y))
(*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))
(*.f64 x (*.f64 y (/.f64 -2 (-.f64 y x))))
(*.f64 x (*.f64 -2 (/.f64 y (-.f64 y x))))
(*.f64 x (*.f64 y (/.f64 2 (-.f64 x y))))
(/.f64 (*.f64 (*.f64 (neg.f64 x) 2) y) (-.f64 (neg.f64 x) y))
(/.f64 (*.f64 y (*.f64 2 (neg.f64 x))) (-.f64 (neg.f64 x) y))
(/.f64 (*.f64 2 (*.f64 y x)) (+.f64 x y))
(*.f64 x (*.f64 2 (/.f64 y (+.f64 x y))))
(/.f64 (*.f64 (*.f64 x 2) (neg.f64 y)) (-.f64 x (neg.f64 y)))
(/.f64 (*.f64 x (*.f64 2 (neg.f64 y))) (-.f64 x (neg.f64 y)))
(/.f64 (*.f64 x (*.f64 -2 y)) (+.f64 x y))
(*.f64 x (/.f64 (*.f64 y -2) (+.f64 x y)))
(*.f64 (*.f64 x -2) (/.f64 y (+.f64 x y)))
(neg.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) 2) y) (-.f64 (neg.f64 x) y)))
(/.f64 (*.f64 x (*.f64 2 (neg.f64 y))) (-.f64 x (neg.f64 y)))
(/.f64 (*.f64 x (*.f64 -2 y)) (+.f64 x y))
(*.f64 x (/.f64 (*.f64 y -2) (+.f64 x y)))
(*.f64 (*.f64 x -2) (/.f64 y (+.f64 x y)))
(neg.f64 (/.f64 (*.f64 (*.f64 x 2) (neg.f64 y)) (-.f64 x (neg.f64 y))))
(/.f64 (*.f64 y (*.f64 2 (neg.f64 x))) (-.f64 (neg.f64 x) y))
(/.f64 (*.f64 2 (*.f64 y x)) (+.f64 x y))
(*.f64 x (*.f64 2 (/.f64 y (+.f64 x y))))
(/.f64 (*.f64 (*.f64 y 2) x) (-.f64 y x))
(*.f64 (*.f64 2 y) (/.f64 x (-.f64 y x)))
(/.f64 (*.f64 2 (*.f64 y x)) (-.f64 y x))
(*.f64 x (*.f64 2 (/.f64 y (-.f64 y x))))
Compiler

Compiled 63 to 35 computations (44.4% saved)

eval1.0ms (0%)

Compiler

Compiled 56 to 28 computations (50% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
76.5%
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))
88.0%
(*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))
Compiler

Compiled 22 to 14 computations (36.4% saved)

localize95.0ms (2.2%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
76.5%
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))
100.0%
(/.f64 y (-.f64 x y))
88.0%
(*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))
Compiler

Compiled 53 to 21 computations (60.4% saved)

series15.0ms (0.4%)

Counts
3 → 72
Calls

18 calls:

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

rewrite278.0ms (6.5%)

Algorithm
batch-egg-rewrite
Rules
1274×log-prod
790×prod-diff
688×log1p-expm1-u
688×expm1-log1p-u
400×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01596
121396
2289496
Stop Event
node limit
Counts
3 → 148
Calls
Call 1
Inputs
(*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))
(/.f64 y (-.f64 x y))
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))
Outputs
(+.f64 0 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (/.f64 y (-.f64 x y))) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (/.f64 y (-.f64 x y))) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (/.f64 y (-.f64 x y))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (/.f64 y (-.f64 x y))) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (/.f64 y (-.f64 x y))) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))))) 1)
(/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y))
(/.f64 (*.f64 x (*.f64 2 y)) (-.f64 x y))
(/.f64 1 (/.f64 (-.f64 x y) (*.f64 x (*.f64 2 y))))
(/.f64 1 (/.f64 (/.f64 (-.f64 x y) (*.f64 x (*.f64 2 y))) 1))
(/.f64 (*.f64 x (neg.f64 (*.f64 2 y))) (neg.f64 (-.f64 x y)))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 x y) (*.f64 x (*.f64 2 y)))))
(/.f64 (neg.f64 (*.f64 x (neg.f64 (*.f64 2 y)))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (/.f64 (*.f64 x (*.f64 2 y)) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(/.f64 (/.f64 (*.f64 x (*.f64 2 y)) 1) (-.f64 x y))
(/.f64 (/.f64 (*.f64 x (*.f64 2 y)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 x y)))
(pow.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))) 2)
(pow.f64 (/.f64 (-.f64 x y) (*.f64 x (*.f64 2 y))) -1)
(neg.f64 (/.f64 (*.f64 x (*.f64 2 y)) (neg.f64 (-.f64 x y))))
(neg.f64 (/.f64 (*.f64 x (neg.f64 (*.f64 2 y))) (-.f64 x y)))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 2) (/.f64 y (-.f64 x y))) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 2 (/.f64 y (-.f64 x y))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (/.f64 y (-.f64 x y))) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (/.f64 y (-.f64 x y)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 2 y)) 3) (pow.f64 (-.f64 x y) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))))
(exp.f64 (log.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))) 1))
(+.f64 0 (/.f64 y (-.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 x y)))) (cbrt.f64 (exp.f64 (/.f64 y (-.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (-.f64 x y)))) 1)
(*.f64 y (/.f64 1 (-.f64 x y)))
(*.f64 (/.f64 y (-.f64 x y)) 1)
(*.f64 1 (/.f64 y (-.f64 x 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 (pow.f64 (cbrt.f64 y) 2) (/.f64 (cbrt.f64 y) (-.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (-.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 y (-.f64 x y))) (sqrt.f64 (/.f64 y (-.f64 x y))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (-.f64 x y)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (-.f64 x y))))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (-.f64 x y)) y)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 y (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 y (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (/.f64 y (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (-.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 y (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (+.f64 x y) (pow.f64 x 2)))
(*.f64 (/.f64 y (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 x y))
(pow.f64 (/.f64 y (-.f64 x y)) 1)
(pow.f64 (cbrt.f64 (/.f64 y (-.f64 x y))) 3)
(pow.f64 (pow.f64 (/.f64 y (-.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 y (-.f64 x y))) 2)
(pow.f64 (/.f64 (-.f64 x y) y) -1)
(neg.f64 (/.f64 y (neg.f64 (-.f64 x y))))
(neg.f64 (/.f64 (neg.f64 y) (-.f64 x y)))
(sqrt.f64 (pow.f64 (/.f64 y (-.f64 x y)) 2))
(log.f64 (exp.f64 (/.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)))
(expm1.f64 (log1p.f64 (/.f64 y (-.f64 x y))))
(log1p.f64 (expm1.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))
(+.f64 0 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (/.f64 y (-.f64 x y))) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (/.f64 y (-.f64 x y))) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (/.f64 y (-.f64 x y))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (/.f64 y (-.f64 x y))) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (/.f64 y (-.f64 x y))) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))))) 1)
(*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))
(*.f64 2 (*.f64 x (/.f64 y (-.f64 x y))))
(*.f64 2 (*.f64 (/.f64 y (-.f64 x y)) x))
(*.f64 y (/.f64 (*.f64 x 2) (-.f64 x y)))
(*.f64 y (*.f64 (*.f64 x 2) (/.f64 1 (-.f64 x y))))
(*.f64 (/.f64 y (-.f64 x y)) (*.f64 x 2))
(*.f64 (*.f64 2 (/.f64 y (-.f64 x y))) x)
(*.f64 (*.f64 x 2) (/.f64 y (-.f64 x y)))
(*.f64 (*.f64 x (*.f64 2 y)) (/.f64 1 (-.f64 x y)))
(*.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) 1)
(*.f64 1 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))) 2) (cbrt.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 2 y))) 2) (/.f64 (cbrt.f64 (*.f64 x (*.f64 2 y))) (-.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 2 y))) 2) (*.f64 (cbrt.f64 (*.f64 x (*.f64 2 y))) (/.f64 1 (-.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 y (-.f64 x y)))) 2) (*.f64 (cbrt.f64 (*.f64 2 (/.f64 y (-.f64 x y)))) x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (*.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 y (-.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 2 (/.f64 y (-.f64 x y)))))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))) (sqrt.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 2 y))) (/.f64 (sqrt.f64 (*.f64 x (*.f64 2 y))) (-.f64 x y)))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 2 y))) (*.f64 (sqrt.f64 (*.f64 x (*.f64 2 y))) (/.f64 1 (-.f64 x y))))
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 y (-.f64 x y)))) (*.f64 (sqrt.f64 (*.f64 2 (/.f64 y (-.f64 x y)))) x))
(*.f64 (sqrt.f64 (*.f64 x 2)) (*.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 y (-.f64 x y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 2 (/.f64 y (-.f64 x y)))))
(*.f64 (*.f64 x (neg.f64 (*.f64 2 y))) (/.f64 1 (neg.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (-.f64 x y)) (*.f64 x (*.f64 2 y)))
(*.f64 (/.f64 y (sqrt.f64 (-.f64 x y))) (/.f64 (*.f64 x 2) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (*.f64 x (*.f64 2 y)) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 (*.f64 x (*.f64 2 y)) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 x 1) (*.f64 2 (/.f64 y (-.f64 x y))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (*.f64 2 y) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 x y))) (/.f64 (*.f64 2 y) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 y 1) (/.f64 (*.f64 x 2) (-.f64 x y)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (*.f64 x 2) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (*.f64 x 2) (sqrt.f64 (-.f64 x y))) (/.f64 y (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (*.f64 x 2) 1) (/.f64 y (-.f64 x y)))
(*.f64 (/.f64 (*.f64 x 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 y (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 2 y))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (*.f64 2 y))) (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 2 y))) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 2 y))) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 2 y))) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (*.f64 2 y))) 1) (/.f64 (sqrt.f64 (*.f64 x (*.f64 2 y))) (-.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (*.f64 2 y))) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 (*.f64 x (*.f64 2 y))) (cbrt.f64 (-.f64 x y))))
(*.f64 (*.f64 x (/.f64 y (-.f64 x y))) 2)
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 y (-.f64 x y)))) 2)) (cbrt.f64 (*.f64 2 (/.f64 y (-.f64 x y)))))
(*.f64 (*.f64 x (sqrt.f64 (*.f64 2 (/.f64 y (-.f64 x y))))) (sqrt.f64 (*.f64 2 (/.f64 y (-.f64 x y)))))
(*.f64 (*.f64 (*.f64 2 (/.f64 y (-.f64 x y))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (*.f64 2 (/.f64 y (-.f64 x y))) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 x 2) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 x y))) 2)) (cbrt.f64 (/.f64 y (-.f64 x y))))
(*.f64 (*.f64 (*.f64 x 2) (sqrt.f64 (/.f64 y (-.f64 x y)))) (sqrt.f64 (/.f64 y (-.f64 x y))))
(*.f64 (/.f64 (*.f64 x (*.f64 2 y)) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (+.f64 x y) (pow.f64 x 2)))
(*.f64 (/.f64 (*.f64 x (*.f64 2 y)) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 x y))
(pow.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))) 2)
(pow.f64 (/.f64 (-.f64 x y) (*.f64 x (*.f64 2 y))) -1)
(neg.f64 (/.f64 (*.f64 x (*.f64 2 y)) (neg.f64 (-.f64 x y))))
(neg.f64 (/.f64 (*.f64 x (neg.f64 (*.f64 2 y))) (-.f64 x y)))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 2) (/.f64 y (-.f64 x y))) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 2 (/.f64 y (-.f64 x y))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (/.f64 y (-.f64 x y))) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (/.f64 y (-.f64 x y)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 2 y)) 3) (pow.f64 (-.f64 x y) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))))
(exp.f64 (log.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))) 1))

simplify181.0ms (4.3%)

Algorithm
egg-herbie
Rules
1204×log-prod
868×cube-prod
758×exp-prod
586×swap-sqr
562×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03479346
19288800
239268716
Stop Event
node limit
Counts
220 → 189
Calls
Call 1
Inputs
(*.f64 -2 x)
(+.f64 (*.f64 -2 x) (*.f64 -2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))))))
(*.f64 2 y)
(+.f64 (*.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 2 y)
(+.f64 (*.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 2 y)
(+.f64 (*.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 -2 x)
(+.f64 (*.f64 -2 x) (*.f64 -2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))))))
(*.f64 -2 x)
(+.f64 (*.f64 -2 x) (*.f64 -2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))))))
(/.f64 y x)
(+.f64 (/.f64 y x) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
-1
(-.f64 (*.f64 -1 (/.f64 x y)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 x y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1)
-1
(-.f64 (*.f64 -1 (/.f64 x y)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 x y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1)
-1
(-.f64 (*.f64 -1 (/.f64 x y)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 x y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1)
(/.f64 y x)
(+.f64 (/.f64 y x) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(/.f64 y x)
(+.f64 (/.f64 y x) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(*.f64 -2 x)
(+.f64 (*.f64 -2 x) (*.f64 -2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))))))
(*.f64 2 y)
(+.f64 (*.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 2 y)
(+.f64 (*.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 2 y)
(+.f64 (*.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 -2 x)
(+.f64 (*.f64 -2 x) (*.f64 -2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))))))
(*.f64 -2 x)
(+.f64 (*.f64 -2 x) (*.f64 -2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))))))
(+.f64 0 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (/.f64 y (-.f64 x y))) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (/.f64 y (-.f64 x y))) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (/.f64 y (-.f64 x y))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (/.f64 y (-.f64 x y))) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (/.f64 y (-.f64 x y))) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))))) 1)
(/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y))
(/.f64 (*.f64 x (*.f64 2 y)) (-.f64 x y))
(/.f64 1 (/.f64 (-.f64 x y) (*.f64 x (*.f64 2 y))))
(/.f64 1 (/.f64 (/.f64 (-.f64 x y) (*.f64 x (*.f64 2 y))) 1))
(/.f64 (*.f64 x (neg.f64 (*.f64 2 y))) (neg.f64 (-.f64 x y)))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 x y) (*.f64 x (*.f64 2 y)))))
(/.f64 (neg.f64 (*.f64 x (neg.f64 (*.f64 2 y)))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (/.f64 (*.f64 x (*.f64 2 y)) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(/.f64 (/.f64 (*.f64 x (*.f64 2 y)) 1) (-.f64 x y))
(/.f64 (/.f64 (*.f64 x (*.f64 2 y)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 x y)))
(pow.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))) 2)
(pow.f64 (/.f64 (-.f64 x y) (*.f64 x (*.f64 2 y))) -1)
(neg.f64 (/.f64 (*.f64 x (*.f64 2 y)) (neg.f64 (-.f64 x y))))
(neg.f64 (/.f64 (*.f64 x (neg.f64 (*.f64 2 y))) (-.f64 x y)))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 2) (/.f64 y (-.f64 x y))) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 2 (/.f64 y (-.f64 x y))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (/.f64 y (-.f64 x y))) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (/.f64 y (-.f64 x y)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 2 y)) 3) (pow.f64 (-.f64 x y) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))))
(exp.f64 (log.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))) 1))
(+.f64 0 (/.f64 y (-.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 x y)))) (cbrt.f64 (exp.f64 (/.f64 y (-.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (-.f64 x y)))) 1)
(*.f64 y (/.f64 1 (-.f64 x y)))
(*.f64 (/.f64 y (-.f64 x y)) 1)
(*.f64 1 (/.f64 y (-.f64 x 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 (pow.f64 (cbrt.f64 y) 2) (/.f64 (cbrt.f64 y) (-.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (-.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 y (-.f64 x y))) (sqrt.f64 (/.f64 y (-.f64 x y))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (-.f64 x y)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (-.f64 x y))))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (-.f64 x y)) y)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 y (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 y (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (/.f64 y (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (-.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 y (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (+.f64 x y) (pow.f64 x 2)))
(*.f64 (/.f64 y (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 x y))
(pow.f64 (/.f64 y (-.f64 x y)) 1)
(pow.f64 (cbrt.f64 (/.f64 y (-.f64 x y))) 3)
(pow.f64 (pow.f64 (/.f64 y (-.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 y (-.f64 x y))) 2)
(pow.f64 (/.f64 (-.f64 x y) y) -1)
(neg.f64 (/.f64 y (neg.f64 (-.f64 x y))))
(neg.f64 (/.f64 (neg.f64 y) (-.f64 x y)))
(sqrt.f64 (pow.f64 (/.f64 y (-.f64 x y)) 2))
(log.f64 (exp.f64 (/.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)))
(expm1.f64 (log1p.f64 (/.f64 y (-.f64 x y))))
(log1p.f64 (expm1.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))
(+.f64 0 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (/.f64 y (-.f64 x y))) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (/.f64 y (-.f64 x y))) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (/.f64 y (-.f64 x y))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (/.f64 y (-.f64 x y))) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) (/.f64 y (-.f64 x y))) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))))) 1)
(*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))
(*.f64 2 (*.f64 x (/.f64 y (-.f64 x y))))
(*.f64 2 (*.f64 (/.f64 y (-.f64 x y)) x))
(*.f64 y (/.f64 (*.f64 x 2) (-.f64 x y)))
(*.f64 y (*.f64 (*.f64 x 2) (/.f64 1 (-.f64 x y))))
(*.f64 (/.f64 y (-.f64 x y)) (*.f64 x 2))
(*.f64 (*.f64 2 (/.f64 y (-.f64 x y))) x)
(*.f64 (*.f64 x 2) (/.f64 y (-.f64 x y)))
(*.f64 (*.f64 x (*.f64 2 y)) (/.f64 1 (-.f64 x y)))
(*.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) 1)
(*.f64 1 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))) 2) (cbrt.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 2 y))) 2) (/.f64 (cbrt.f64 (*.f64 x (*.f64 2 y))) (-.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 2 y))) 2) (*.f64 (cbrt.f64 (*.f64 x (*.f64 2 y))) (/.f64 1 (-.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 y (-.f64 x y)))) 2) (*.f64 (cbrt.f64 (*.f64 2 (/.f64 y (-.f64 x y)))) x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (*.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 y (-.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 2 (/.f64 y (-.f64 x y)))))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))) (sqrt.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 2 y))) (/.f64 (sqrt.f64 (*.f64 x (*.f64 2 y))) (-.f64 x y)))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 2 y))) (*.f64 (sqrt.f64 (*.f64 x (*.f64 2 y))) (/.f64 1 (-.f64 x y))))
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 y (-.f64 x y)))) (*.f64 (sqrt.f64 (*.f64 2 (/.f64 y (-.f64 x y)))) x))
(*.f64 (sqrt.f64 (*.f64 x 2)) (*.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 y (-.f64 x y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 2 (/.f64 y (-.f64 x y)))))
(*.f64 (*.f64 x (neg.f64 (*.f64 2 y))) (/.f64 1 (neg.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (-.f64 x y)) (*.f64 x (*.f64 2 y)))
(*.f64 (/.f64 y (sqrt.f64 (-.f64 x y))) (/.f64 (*.f64 x 2) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (*.f64 x (*.f64 2 y)) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 (*.f64 x (*.f64 2 y)) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 x 1) (*.f64 2 (/.f64 y (-.f64 x y))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (*.f64 2 y) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 x y))) (/.f64 (*.f64 2 y) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 y 1) (/.f64 (*.f64 x 2) (-.f64 x y)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (*.f64 x 2) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (*.f64 x 2) (sqrt.f64 (-.f64 x y))) (/.f64 y (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (*.f64 x 2) 1) (/.f64 y (-.f64 x y)))
(*.f64 (/.f64 (*.f64 x 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 y (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 2 y))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (*.f64 2 y))) (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 2 y))) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 2 y))) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 2 y))) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (*.f64 2 y))) 1) (/.f64 (sqrt.f64 (*.f64 x (*.f64 2 y))) (-.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (*.f64 2 y))) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 (*.f64 x (*.f64 2 y))) (cbrt.f64 (-.f64 x y))))
(*.f64 (*.f64 x (/.f64 y (-.f64 x y))) 2)
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 y (-.f64 x y)))) 2)) (cbrt.f64 (*.f64 2 (/.f64 y (-.f64 x y)))))
(*.f64 (*.f64 x (sqrt.f64 (*.f64 2 (/.f64 y (-.f64 x y))))) (sqrt.f64 (*.f64 2 (/.f64 y (-.f64 x y)))))
(*.f64 (*.f64 (*.f64 2 (/.f64 y (-.f64 x y))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (*.f64 2 (/.f64 y (-.f64 x y))) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 x 2) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 x y))) 2)) (cbrt.f64 (/.f64 y (-.f64 x y))))
(*.f64 (*.f64 (*.f64 x 2) (sqrt.f64 (/.f64 y (-.f64 x y)))) (sqrt.f64 (/.f64 y (-.f64 x y))))
(*.f64 (/.f64 (*.f64 x (*.f64 2 y)) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (+.f64 x y) (pow.f64 x 2)))
(*.f64 (/.f64 (*.f64 x (*.f64 2 y)) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 x y))
(pow.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))) 2)
(pow.f64 (/.f64 (-.f64 x y) (*.f64 x (*.f64 2 y))) -1)
(neg.f64 (/.f64 (*.f64 x (*.f64 2 y)) (neg.f64 (-.f64 x y))))
(neg.f64 (/.f64 (*.f64 x (neg.f64 (*.f64 2 y))) (-.f64 x y)))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 2) (/.f64 y (-.f64 x y))) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 2 (/.f64 y (-.f64 x y))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (/.f64 y (-.f64 x y))) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (/.f64 y (-.f64 x y)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 2 y)) 3) (pow.f64 (-.f64 x y) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))))
(exp.f64 (log.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))) 1))
Outputs
(*.f64 -2 x)
(+.f64 (*.f64 -2 x) (*.f64 -2 (/.f64 (pow.f64 x 2) y)))
(*.f64 -2 (+.f64 x (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(fma.f64 -2 x (*.f64 -2 (+.f64 (/.f64 (pow.f64 x 2) y) (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(*.f64 -2 (+.f64 (+.f64 (/.f64 (pow.f64 x 2) y) (/.f64 (pow.f64 x 3) (pow.f64 y 2))) x))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))))))
(fma.f64 -2 x (fma.f64 -2 (/.f64 (pow.f64 x 2) y) (*.f64 -2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 2)) (/.f64 (pow.f64 x 4) (pow.f64 y 3))))))
(*.f64 -2 (+.f64 (+.f64 x (/.f64 (pow.f64 x 2) y)) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 2)) (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(*.f64 2 y)
(+.f64 (*.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 2) x)))
(*.f64 2 (+.f64 y (/.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(fma.f64 2 y (*.f64 2 (+.f64 (/.f64 (pow.f64 y 2) x) (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(*.f64 2 (+.f64 (+.f64 (/.f64 (pow.f64 y 2) x) (/.f64 (pow.f64 y 3) (pow.f64 x 2))) y))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 2 y (fma.f64 2 (/.f64 (pow.f64 y 2) x) (*.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 2 (+.f64 (+.f64 y (/.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(*.f64 2 y)
(+.f64 (*.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 2) x)))
(*.f64 2 (+.f64 y (/.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(fma.f64 2 y (*.f64 2 (+.f64 (/.f64 (pow.f64 y 2) x) (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(*.f64 2 (+.f64 (+.f64 (/.f64 (pow.f64 y 2) x) (/.f64 (pow.f64 y 3) (pow.f64 x 2))) y))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 2 y (fma.f64 2 (/.f64 (pow.f64 y 2) x) (*.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 2 (+.f64 (+.f64 y (/.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(*.f64 2 y)
(+.f64 (*.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 2) x)))
(*.f64 2 (+.f64 y (/.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(fma.f64 2 y (*.f64 2 (+.f64 (/.f64 (pow.f64 y 2) x) (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(*.f64 2 (+.f64 (+.f64 (/.f64 (pow.f64 y 2) x) (/.f64 (pow.f64 y 3) (pow.f64 x 2))) y))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 2 y (fma.f64 2 (/.f64 (pow.f64 y 2) x) (*.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 2 (+.f64 (+.f64 y (/.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(*.f64 -2 x)
(+.f64 (*.f64 -2 x) (*.f64 -2 (/.f64 (pow.f64 x 2) y)))
(*.f64 -2 (+.f64 x (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(fma.f64 -2 x (*.f64 -2 (+.f64 (/.f64 (pow.f64 x 2) y) (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(*.f64 -2 (+.f64 (+.f64 (/.f64 (pow.f64 x 2) y) (/.f64 (pow.f64 x 3) (pow.f64 y 2))) x))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))))))
(fma.f64 -2 x (fma.f64 -2 (/.f64 (pow.f64 x 2) y) (*.f64 -2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 2)) (/.f64 (pow.f64 x 4) (pow.f64 y 3))))))
(*.f64 -2 (+.f64 (+.f64 x (/.f64 (pow.f64 x 2) y)) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 2)) (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(*.f64 -2 x)
(+.f64 (*.f64 -2 x) (*.f64 -2 (/.f64 (pow.f64 x 2) y)))
(*.f64 -2 (+.f64 x (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(fma.f64 -2 x (*.f64 -2 (+.f64 (/.f64 (pow.f64 x 2) y) (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(*.f64 -2 (+.f64 (+.f64 (/.f64 (pow.f64 x 2) y) (/.f64 (pow.f64 x 3) (pow.f64 y 2))) x))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))))))
(fma.f64 -2 x (fma.f64 -2 (/.f64 (pow.f64 x 2) y) (*.f64 -2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 2)) (/.f64 (pow.f64 x 4) (pow.f64 y 3))))))
(*.f64 -2 (+.f64 (+.f64 x (/.f64 (pow.f64 x 2) y)) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 2)) (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(/.f64 y x)
(+.f64 (/.f64 y x) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 3)))
(+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))
(+.f64 (/.f64 y x) (+.f64 (pow.f64 (/.f64 y x) 3) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))
-1
(-.f64 (*.f64 -1 (/.f64 x y)) 1)
(fma.f64 -1 (/.f64 x y) -1)
(-.f64 -1 (/.f64 x y))
(-.f64 (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1)
(+.f64 (*.f64 -1 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) -1)
(fma.f64 -1 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2))) -1)
(-.f64 -1 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 x y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1)
(+.f64 (fma.f64 -1 (/.f64 x y) (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) -1)
(+.f64 -1 (-.f64 (-.f64 (/.f64 x (neg.f64 y)) (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1 (+.f64 (/.f64 x y) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (pow.f64 (/.f64 x y) 3))) -1)
-1
(-.f64 (*.f64 -1 (/.f64 x y)) 1)
(fma.f64 -1 (/.f64 x y) -1)
(-.f64 -1 (/.f64 x y))
(-.f64 (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1)
(+.f64 (*.f64 -1 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) -1)
(fma.f64 -1 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2))) -1)
(-.f64 -1 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 x y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1)
(+.f64 (fma.f64 -1 (/.f64 x y) (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) -1)
(+.f64 -1 (-.f64 (-.f64 (/.f64 x (neg.f64 y)) (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1 (+.f64 (/.f64 x y) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (pow.f64 (/.f64 x y) 3))) -1)
-1
(-.f64 (*.f64 -1 (/.f64 x y)) 1)
(fma.f64 -1 (/.f64 x y) -1)
(-.f64 -1 (/.f64 x y))
(-.f64 (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1)
(+.f64 (*.f64 -1 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) -1)
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(*.f64 x (/.f64 (*.f64 2 y) (-.f64 x y)))
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 2 y))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (*.f64 2 y))) (-.f64 x y)))
(*.f64 x (/.f64 (*.f64 2 y) (-.f64 x y)))
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 2 y))) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (*.f64 2 y) (-.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 2 y))) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 2 y))) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 2 y))) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 2 y))) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 2 y))) (sqrt.f64 (-.f64 x y))))
(*.f64 x (/.f64 (*.f64 2 y) (-.f64 x y)))
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (*.f64 2 y))) 1) (/.f64 (sqrt.f64 (*.f64 x (*.f64 2 y))) (-.f64 x y)))
(*.f64 x (/.f64 (*.f64 2 y) (-.f64 x y)))
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (*.f64 2 y))) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 (*.f64 x (*.f64 2 y))) (cbrt.f64 (-.f64 x y))))
(*.f64 x (/.f64 (*.f64 2 y) (-.f64 x y)))
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))
(*.f64 (*.f64 x (/.f64 y (-.f64 x y))) 2)
(*.f64 x (/.f64 (*.f64 2 y) (-.f64 x y)))
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 y (-.f64 x y)))) 2)) (cbrt.f64 (*.f64 2 (/.f64 y (-.f64 x y)))))
(*.f64 x (/.f64 (*.f64 2 y) (-.f64 x y)))
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))
(*.f64 (*.f64 x (sqrt.f64 (*.f64 2 (/.f64 y (-.f64 x y))))) (sqrt.f64 (*.f64 2 (/.f64 y (-.f64 x y)))))
(*.f64 x (/.f64 (*.f64 2 y) (-.f64 x y)))
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))
(*.f64 (*.f64 (*.f64 2 (/.f64 y (-.f64 x y))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 x (/.f64 (*.f64 2 y) (-.f64 x y)))
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))
(*.f64 (*.f64 (*.f64 2 (/.f64 y (-.f64 x y))) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (/.f64 (*.f64 2 y) (-.f64 x y)))
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))
(*.f64 (*.f64 (*.f64 x 2) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 x y))) 2)) (cbrt.f64 (/.f64 y (-.f64 x y))))
(*.f64 x (/.f64 (*.f64 2 y) (-.f64 x y)))
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))
(*.f64 (*.f64 (*.f64 x 2) (sqrt.f64 (/.f64 y (-.f64 x y)))) (sqrt.f64 (/.f64 y (-.f64 x y))))
(*.f64 x (/.f64 (*.f64 2 y) (-.f64 x y)))
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))
(*.f64 (/.f64 (*.f64 x (*.f64 2 y)) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (+.f64 x y) (pow.f64 x 2)))
(*.f64 (fma.f64 y (+.f64 x y) (pow.f64 x 2)) (/.f64 (*.f64 x (*.f64 2 y)) (-.f64 (pow.f64 x 3) (pow.f64 y 3))))
(*.f64 x (*.f64 (*.f64 2 (/.f64 y (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (fma.f64 y (+.f64 x y) (pow.f64 x 2))))
(*.f64 (*.f64 x (*.f64 2 y)) (/.f64 (fma.f64 y (+.f64 x y) (pow.f64 x 2)) (-.f64 (pow.f64 x 3) (pow.f64 y 3))))
(*.f64 (/.f64 (*.f64 x (*.f64 2 y)) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 x y))
(*.f64 (+.f64 x y) (*.f64 x (/.f64 (*.f64 2 y) (-.f64 (pow.f64 x 2) (pow.f64 y 2)))))
(*.f64 x (*.f64 (/.f64 (*.f64 2 y) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 x y)))
(pow.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) 1)
(*.f64 x (/.f64 (*.f64 2 y) (-.f64 x y)))
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))) 3)
(*.f64 x (/.f64 (*.f64 2 y) (-.f64 x y)))
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))
(pow.f64 (pow.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) 3) 1/3)
(*.f64 x (/.f64 (*.f64 2 y) (-.f64 x y)))
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))) 2)
(*.f64 x (/.f64 (*.f64 2 y) (-.f64 x y)))
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))
(pow.f64 (/.f64 (-.f64 x y) (*.f64 x (*.f64 2 y))) -1)
(*.f64 x (/.f64 (*.f64 2 y) (-.f64 x y)))
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))
(neg.f64 (/.f64 (*.f64 x (*.f64 2 y)) (neg.f64 (-.f64 x y))))
(*.f64 x (/.f64 (*.f64 2 y) (-.f64 x y)))
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))
(neg.f64 (/.f64 (*.f64 x (neg.f64 (*.f64 2 y))) (-.f64 x y)))
(*.f64 x (/.f64 (*.f64 2 y) (-.f64 x y)))
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) 2))
(*.f64 x (/.f64 (*.f64 2 y) (-.f64 x y)))
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 2) (/.f64 y (-.f64 x y))) x))
(*.f64 x (/.f64 (*.f64 2 y) (-.f64 x y)))
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))))))
(*.f64 x (/.f64 (*.f64 2 y) (-.f64 x y)))
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) 3))
(*.f64 x (/.f64 (*.f64 2 y) (-.f64 x y)))
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 2 (/.f64 y (-.f64 x y))) 3)))
(*.f64 x (/.f64 (*.f64 2 y) (-.f64 x y)))
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (/.f64 y (-.f64 x y))) 3) (pow.f64 x 3)))
(*.f64 x (/.f64 (*.f64 2 y) (-.f64 x y)))
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (/.f64 y (-.f64 x y)) 3)))
(*.f64 x (/.f64 (*.f64 2 y) (-.f64 x y)))
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 2 y)) 3) (pow.f64 (-.f64 x y) 3)))
(*.f64 x (/.f64 (*.f64 2 y) (-.f64 x y)))
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (*.f64 2 y) (-.f64 x y)))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))))
(*.f64 x (/.f64 (*.f64 2 y) (-.f64 x y)))
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))
(exp.f64 (log.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))))
(*.f64 x (/.f64 (*.f64 2 y) (-.f64 x y)))
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))) 1))
(*.f64 x (/.f64 (*.f64 2 y) (-.f64 x y)))
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))

eval112.0ms (2.6%)

Compiler

Compiled 3046 to 1631 computations (46.5% saved)

prune28.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1854189
Fresh000
Picked112
Done000
Total1865191
Accuracy
100.0%
Counts
191 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.8%
(/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y))
86.8%
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
88.0%
(*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))
51.0%
(*.f64 2 y)
50.8%
(*.f64 -2 x)
Compiler

Compiled 43 to 30 computations (30.2% saved)

localize131.0ms (3.1%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (-.f64 x y) y)
86.8%
(/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y))
100.0%
(+.f64 (/.f64 x y) -1)
86.8%
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
Compiler

Compiled 60 to 29 computations (51.7% saved)

series19.0ms (0.5%)

Counts
4 → 96
Calls

24 calls:

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

rewrite135.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
1238×prod-diff
864×log1p-expm1-u
777×expm1-log1p-u
242×times-frac
160×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016106
1238106
24101106
Stop Event
node limit
Counts
4 → 239
Calls
Call 1
Inputs
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
(+.f64 (/.f64 x y) -1)
(/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y))
(/.f64 (-.f64 x y) y)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))))) 1)
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))
(*.f64 2 (/.f64 x (+.f64 (/.f64 x y) -1)))
(*.f64 2 (*.f64 x (/.f64 y (-.f64 x y))))
(*.f64 (*.f64 x 2) (/.f64 y (-.f64 x y)))
(*.f64 y (/.f64 (*.f64 x 2) (-.f64 x y)))
(*.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))) 1)
(*.f64 1 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))) 2) (cbrt.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (/.f64 (cbrt.f64 (*.f64 x 2)) (+.f64 (/.f64 x y) -1)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (*.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 y (-.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 2 (+.f64 (/.f64 x y) -1))))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))) (sqrt.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))))
(*.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 (sqrt.f64 (*.f64 x 2)) (+.f64 (/.f64 x y) -1)))
(*.f64 (sqrt.f64 (*.f64 x 2)) (*.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 y (-.f64 x y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 2 (+.f64 (/.f64 x y) -1))))
(*.f64 (*.f64 x -2) (/.f64 1 (+.f64 1 (neg.f64 (/.f64 x y)))))
(*.f64 (/.f64 y (-.f64 x y)) (*.f64 x 2))
(*.f64 (/.f64 (*.f64 x 2) (-.f64 x y)) y)
(*.f64 (/.f64 2 (+.f64 (/.f64 x y) -1)) x)
(*.f64 (/.f64 x (-.f64 x y)) (/.f64 2 (/.f64 1 y)))
(*.f64 (/.f64 x 1) (/.f64 2 (+.f64 (/.f64 x y) -1)))
(*.f64 (/.f64 2 (-.f64 x y)) (/.f64 x (/.f64 1 y)))
(*.f64 (/.f64 1 (-.f64 x y)) (/.f64 (*.f64 x 2) (/.f64 1 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (-.f64 x y)) (/.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 1 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x 2)) (+.f64 (/.f64 x y) -1)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) (-.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 1 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) 1) (/.f64 (sqrt.f64 (*.f64 x 2)) (+.f64 (/.f64 x y) -1)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2)) (/.f64 2 (cbrt.f64 (+.f64 (/.f64 x y) -1))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 (/.f64 x y) -1))) (/.f64 2 (sqrt.f64 (+.f64 (/.f64 x y) -1))))
(*.f64 (/.f64 2 (sqrt.f64 (+.f64 (/.f64 x y) -1))) (/.f64 x (sqrt.f64 (+.f64 (/.f64 x y) -1))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2)) (/.f64 x (cbrt.f64 (+.f64 (/.f64 x y) -1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2)) (/.f64 (*.f64 x 2) (cbrt.f64 (+.f64 (/.f64 x y) -1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (/.f64 x y) -1))) (/.f64 (*.f64 x 2) (sqrt.f64 (+.f64 (/.f64 x y) -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2)) (cbrt.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (sqrt.f64 (+.f64 (/.f64 x y) -1))) (/.f64 (cbrt.f64 (*.f64 x 2)) (sqrt.f64 (+.f64 (/.f64 x y) -1))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2)) (/.f64 (sqrt.f64 (*.f64 x 2)) (cbrt.f64 (+.f64 (/.f64 x y) -1))))
(*.f64 (*.f64 (/.f64 (*.f64 x 2) (-.f64 x y)) 1) y)
(*.f64 (*.f64 (/.f64 (*.f64 x 2) (-.f64 x y)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 (*.f64 (/.f64 (*.f64 x 2) (-.f64 x y)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (*.f64 x 2) 1) (/.f64 y (-.f64 x y)))
(*.f64 (/.f64 (*.f64 x 2) (neg.f64 (-.f64 x y))) (neg.f64 y))
(*.f64 (/.f64 (*.f64 x 2) (+.f64 -1 (pow.f64 (/.f64 x y) 3))) (-.f64 (+.f64 (pow.f64 (/.f64 x y) 2) 1) (*.f64 (/.f64 x y) -1)))
(*.f64 (/.f64 (*.f64 x 2) (+.f64 (pow.f64 (/.f64 x y) 2) -1)) (+.f64 (/.f64 x y) 1))
(pow.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))) 2)
(pow.f64 (*.f64 1/2 (/.f64 (+.f64 (/.f64 x y) -1) x)) -1)
(neg.f64 (/.f64 (*.f64 x 2) (+.f64 1 (neg.f64 (/.f64 x y)))))
(neg.f64 (/.f64 (*.f64 x -2) (+.f64 (/.f64 x y) -1)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 2 (+.f64 (/.f64 x y) -1))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (+.f64 (/.f64 x y) -1) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))) 1))
(-.f64 (/.f64 x y) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 x y) -1))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (/.f64 x y) 1)) (/.f64 1 (+.f64 (/.f64 x y) 1)))
(*.f64 (+.f64 (/.f64 x y) -1) 1)
(*.f64 (-.f64 x y) (/.f64 1 y))
(*.f64 1 (+.f64 (/.f64 x y) -1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 (cbrt.f64 (-.f64 x y)) y))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 y)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2) (cbrt.f64 (+.f64 (/.f64 x y) -1)))
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) y))
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) (sqrt.f64 (+.f64 (/.f64 x y) -1)))
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 y)))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (/.f64 x y) 2) 1) (*.f64 (/.f64 x y) -1))))
(*.f64 (/.f64 1 y) (-.f64 x y))
(*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (/.f64 1 (+.f64 (/.f64 x y) 1)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 x y) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 x y) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (+.f64 (/.f64 x y) -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 y)))
(*.f64 (+.f64 (sqrt.f64 (/.f64 x y)) 1) (-.f64 (sqrt.f64 (/.f64 x y)) 1))
(/.f64 -1 (neg.f64 (/.f64 y (-.f64 x y))))
(/.f64 (-.f64 x y) y)
(/.f64 1 (/.f64 y (-.f64 x y)))
(/.f64 1 (/.f64 (/.f64 y (-.f64 x y)) 1))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) 2) 1) (*.f64 (/.f64 x y) -1)) (+.f64 -1 (pow.f64 (/.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 x y) 1) (+.f64 (pow.f64 (/.f64 x y) 2) -1)))
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 y))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) 2) 1) (*.f64 (/.f64 x y) -1)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 x y) 2) (*.f64 (/.f64 x y) -1))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 y (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (+.f64 (/.f64 x y) 1))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 y (+.f64 x y)))
(/.f64 (-.f64 (*.f64 x y) (pow.f64 y 2)) (pow.f64 y 2))
(/.f64 (-.f64 y (*.f64 (/.f64 y x) y)) (*.f64 (/.f64 y x) y))
(/.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) y)) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 1) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) y))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) (*.f64 (+.f64 x y) y))
(/.f64 (neg.f64 (neg.f64 (-.f64 x y))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) 2) 1) (*.f64 (/.f64 x y) -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1)) (neg.f64 (+.f64 (/.f64 x y) 1)))
(/.f64 (/.f64 (-.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (-.f64 x y) 1) y)
(/.f64 (-.f64 (pow.f64 (/.f64 x y) 3) 1) (+.f64 (pow.f64 (/.f64 x y) 2) (+.f64 1 (/.f64 x y))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 x y) 2)) (-.f64 -1 (/.f64 x y)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 1 y)) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 1 y)) (+.f64 x y))
(/.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(pow.f64 (+.f64 (/.f64 x y) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) 2)
(pow.f64 (/.f64 y (-.f64 x y)) -1)
(neg.f64 (+.f64 1 (neg.f64 (/.f64 x y))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 x y) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 x y) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 x y) -1)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x y) -1)))
(exp.f64 (log.f64 (+.f64 (/.f64 x y) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x y) -1)) 1))
(fma.f64 x (/.f64 1 y) -1)
(fma.f64 1 (/.f64 x y) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)) -1)
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))))) 1)
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))
(*.f64 2 (/.f64 x (+.f64 (/.f64 x y) -1)))
(*.f64 2 (*.f64 x (/.f64 y (-.f64 x y))))
(*.f64 (*.f64 x 2) (/.f64 y (-.f64 x y)))
(*.f64 y (/.f64 (*.f64 x 2) (-.f64 x y)))
(*.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))) 1)
(*.f64 1 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))) 2) (cbrt.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (/.f64 (cbrt.f64 (*.f64 x 2)) (+.f64 (/.f64 x y) -1)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (*.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 y (-.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 2 (+.f64 (/.f64 x y) -1))))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))) (sqrt.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))))
(*.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 (sqrt.f64 (*.f64 x 2)) (+.f64 (/.f64 x y) -1)))
(*.f64 (sqrt.f64 (*.f64 x 2)) (*.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 y (-.f64 x y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 2 (+.f64 (/.f64 x y) -1))))
(*.f64 (*.f64 x -2) (/.f64 1 (+.f64 1 (neg.f64 (/.f64 x y)))))
(*.f64 (/.f64 y (-.f64 x y)) (*.f64 x 2))
(*.f64 (/.f64 (*.f64 x 2) (-.f64 x y)) y)
(*.f64 (/.f64 2 (+.f64 (/.f64 x y) -1)) x)
(*.f64 (/.f64 x (-.f64 x y)) (/.f64 2 (/.f64 1 y)))
(*.f64 (/.f64 x 1) (/.f64 2 (+.f64 (/.f64 x y) -1)))
(*.f64 (/.f64 2 (-.f64 x y)) (/.f64 x (/.f64 1 y)))
(*.f64 (/.f64 1 (-.f64 x y)) (/.f64 (*.f64 x 2) (/.f64 1 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (-.f64 x y)) (/.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 1 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x 2)) (+.f64 (/.f64 x y) -1)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) (-.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 1 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) 1) (/.f64 (sqrt.f64 (*.f64 x 2)) (+.f64 (/.f64 x y) -1)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2)) (/.f64 2 (cbrt.f64 (+.f64 (/.f64 x y) -1))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 (/.f64 x y) -1))) (/.f64 2 (sqrt.f64 (+.f64 (/.f64 x y) -1))))
(*.f64 (/.f64 2 (sqrt.f64 (+.f64 (/.f64 x y) -1))) (/.f64 x (sqrt.f64 (+.f64 (/.f64 x y) -1))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2)) (/.f64 x (cbrt.f64 (+.f64 (/.f64 x y) -1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2)) (/.f64 (*.f64 x 2) (cbrt.f64 (+.f64 (/.f64 x y) -1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (/.f64 x y) -1))) (/.f64 (*.f64 x 2) (sqrt.f64 (+.f64 (/.f64 x y) -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2)) (cbrt.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (sqrt.f64 (+.f64 (/.f64 x y) -1))) (/.f64 (cbrt.f64 (*.f64 x 2)) (sqrt.f64 (+.f64 (/.f64 x y) -1))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2)) (/.f64 (sqrt.f64 (*.f64 x 2)) (cbrt.f64 (+.f64 (/.f64 x y) -1))))
(*.f64 (*.f64 (/.f64 (*.f64 x 2) (-.f64 x y)) 1) y)
(*.f64 (*.f64 (/.f64 (*.f64 x 2) (-.f64 x y)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 (*.f64 (/.f64 (*.f64 x 2) (-.f64 x y)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (*.f64 x 2) 1) (/.f64 y (-.f64 x y)))
(*.f64 (/.f64 (*.f64 x 2) (neg.f64 (-.f64 x y))) (neg.f64 y))
(*.f64 (/.f64 (*.f64 x 2) (+.f64 -1 (pow.f64 (/.f64 x y) 3))) (-.f64 (+.f64 (pow.f64 (/.f64 x y) 2) 1) (*.f64 (/.f64 x y) -1)))
(*.f64 (/.f64 (*.f64 x 2) (+.f64 (pow.f64 (/.f64 x y) 2) -1)) (+.f64 (/.f64 x y) 1))
(pow.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))) 2)
(pow.f64 (*.f64 1/2 (/.f64 (+.f64 (/.f64 x y) -1) x)) -1)
(neg.f64 (/.f64 (*.f64 x 2) (+.f64 1 (neg.f64 (/.f64 x y)))))
(neg.f64 (/.f64 (*.f64 x -2) (+.f64 (/.f64 x y) -1)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 2 (+.f64 (/.f64 x y) -1))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (+.f64 (/.f64 x y) -1) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))) 1))
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 x y) -1))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (/.f64 x y) 1)) (/.f64 1 (+.f64 (/.f64 x y) 1)))
(*.f64 (+.f64 (/.f64 x y) -1) 1)
(*.f64 (-.f64 x y) (/.f64 1 y))
(*.f64 1 (+.f64 (/.f64 x y) -1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 (cbrt.f64 (-.f64 x y)) y))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 y)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2) (cbrt.f64 (+.f64 (/.f64 x y) -1)))
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) y))
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) (sqrt.f64 (+.f64 (/.f64 x y) -1)))
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 y)))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (/.f64 x y) 2) 1) (*.f64 (/.f64 x y) -1))))
(*.f64 (/.f64 1 y) (-.f64 x y))
(*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (/.f64 1 (+.f64 (/.f64 x y) 1)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 x y) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 x y) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (+.f64 (/.f64 x y) -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 y)))
(*.f64 (+.f64 (sqrt.f64 (/.f64 x y)) 1) (-.f64 (sqrt.f64 (/.f64 x y)) 1))
(pow.f64 (+.f64 (/.f64 x y) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) 2)
(pow.f64 (/.f64 y (-.f64 x y)) -1)
(neg.f64 (+.f64 1 (neg.f64 (/.f64 x y))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 x y) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 x y) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 x y) -1)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x y) -1)))
(exp.f64 (log.f64 (+.f64 (/.f64 x y) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x y) -1)) 1))
(fma.f64 x (/.f64 1 y) -1)
(fma.f64 1 (/.f64 x y) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)) -1)
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) -1)

simplify230.0ms (5.4%)

Algorithm
egg-herbie
Rules
1710×fma-define
660×log-prod
550×cube-prod
512×div-sub
472×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035611155
1101210924
2376810813
Stop Event
node limit
Counts
335 → 187
Calls
Call 1
Inputs
(*.f64 -2 x)
(+.f64 (*.f64 -2 x) (*.f64 -2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))))))
(*.f64 2 y)
(+.f64 (*.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 2 y)
(+.f64 (*.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
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(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)) -1)
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))))) 1)
(*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))
(*.f64 2 (/.f64 x (+.f64 (/.f64 x y) -1)))
(*.f64 2 (*.f64 x (/.f64 y (-.f64 x y))))
(*.f64 (*.f64 x 2) (/.f64 y (-.f64 x y)))
(*.f64 y (/.f64 (*.f64 x 2) (-.f64 x y)))
(*.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))) 1)
(*.f64 1 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))) 2) (cbrt.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (/.f64 (cbrt.f64 (*.f64 x 2)) (+.f64 (/.f64 x y) -1)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (*.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 y (-.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 2 (+.f64 (/.f64 x y) -1))))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))) (sqrt.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))))
(*.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 (sqrt.f64 (*.f64 x 2)) (+.f64 (/.f64 x y) -1)))
(*.f64 (sqrt.f64 (*.f64 x 2)) (*.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 y (-.f64 x y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 2 (+.f64 (/.f64 x y) -1))))
(*.f64 (*.f64 x -2) (/.f64 1 (+.f64 1 (neg.f64 (/.f64 x y)))))
(*.f64 (/.f64 y (-.f64 x y)) (*.f64 x 2))
(*.f64 (/.f64 (*.f64 x 2) (-.f64 x y)) y)
(*.f64 (/.f64 2 (+.f64 (/.f64 x y) -1)) x)
(*.f64 (/.f64 x (-.f64 x y)) (/.f64 2 (/.f64 1 y)))
(*.f64 (/.f64 x 1) (/.f64 2 (+.f64 (/.f64 x y) -1)))
(*.f64 (/.f64 2 (-.f64 x y)) (/.f64 x (/.f64 1 y)))
(*.f64 (/.f64 1 (-.f64 x y)) (/.f64 (*.f64 x 2) (/.f64 1 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (-.f64 x y)) (/.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 1 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x 2)) (+.f64 (/.f64 x y) -1)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) (-.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 1 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) 1) (/.f64 (sqrt.f64 (*.f64 x 2)) (+.f64 (/.f64 x y) -1)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2)) (/.f64 2 (cbrt.f64 (+.f64 (/.f64 x y) -1))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 (/.f64 x y) -1))) (/.f64 2 (sqrt.f64 (+.f64 (/.f64 x y) -1))))
(*.f64 (/.f64 2 (sqrt.f64 (+.f64 (/.f64 x y) -1))) (/.f64 x (sqrt.f64 (+.f64 (/.f64 x y) -1))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2)) (/.f64 x (cbrt.f64 (+.f64 (/.f64 x y) -1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2)) (/.f64 (*.f64 x 2) (cbrt.f64 (+.f64 (/.f64 x y) -1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (/.f64 x y) -1))) (/.f64 (*.f64 x 2) (sqrt.f64 (+.f64 (/.f64 x y) -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2)) (cbrt.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (sqrt.f64 (+.f64 (/.f64 x y) -1))) (/.f64 (cbrt.f64 (*.f64 x 2)) (sqrt.f64 (+.f64 (/.f64 x y) -1))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2)) (/.f64 (sqrt.f64 (*.f64 x 2)) (cbrt.f64 (+.f64 (/.f64 x y) -1))))
(*.f64 (*.f64 (/.f64 (*.f64 x 2) (-.f64 x y)) 1) y)
(*.f64 (*.f64 (/.f64 (*.f64 x 2) (-.f64 x y)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 (*.f64 (/.f64 (*.f64 x 2) (-.f64 x y)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (*.f64 x 2) 1) (/.f64 y (-.f64 x y)))
(*.f64 (/.f64 (*.f64 x 2) (neg.f64 (-.f64 x y))) (neg.f64 y))
(*.f64 (/.f64 (*.f64 x 2) (+.f64 -1 (pow.f64 (/.f64 x y) 3))) (-.f64 (+.f64 (pow.f64 (/.f64 x y) 2) 1) (*.f64 (/.f64 x y) -1)))
(*.f64 (/.f64 (*.f64 x 2) (+.f64 (pow.f64 (/.f64 x y) 2) -1)) (+.f64 (/.f64 x y) 1))
(pow.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))) 2)
(pow.f64 (*.f64 1/2 (/.f64 (+.f64 (/.f64 x y) -1) x)) -1)
(neg.f64 (/.f64 (*.f64 x 2) (+.f64 1 (neg.f64 (/.f64 x y)))))
(neg.f64 (/.f64 (*.f64 x -2) (+.f64 (/.f64 x y) -1)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 2 (+.f64 (/.f64 x y) -1))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (+.f64 (/.f64 x y) -1) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 2 (+.f64 (/.f64 x y) -1)))) 1))
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 x y) -1))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 x y) 2) (+.f64 (/.f64 x y) 1)) (/.f64 1 (+.f64 (/.f64 x y) 1)))
(*.f64 (+.f64 (/.f64 x y) -1) 1)
(*.f64 (-.f64 x y) (/.f64 1 y))
(*.f64 1 (+.f64 (/.f64 x y) -1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 (cbrt.f64 (-.f64 x y)) y))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 y)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2) (cbrt.f64 (+.f64 (/.f64 x y) -1)))
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) y))
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) (sqrt.f64 (+.f64 (/.f64 x y) -1)))
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 y)))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (/.f64 x y) 2) 1) (*.f64 (/.f64 x y) -1))))
(*.f64 (/.f64 1 y) (-.f64 x y))
(*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (/.f64 1 (+.f64 (/.f64 x y) 1)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 x y) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 x y) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (+.f64 (/.f64 x y) -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 y)))
(*.f64 (+.f64 (sqrt.f64 (/.f64 x y)) 1) (-.f64 (sqrt.f64 (/.f64 x y)) 1))
(pow.f64 (+.f64 (/.f64 x y) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) 2)
(pow.f64 (/.f64 y (-.f64 x y)) -1)
(neg.f64 (+.f64 1 (neg.f64 (/.f64 x y))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 x y) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 x y) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 x y) -1)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x y) -1)))
(exp.f64 (log.f64 (+.f64 (/.f64 x y) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x y) -1)) 1))
(fma.f64 x (/.f64 1 y) -1)
(fma.f64 1 (/.f64 x y) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)) -1)
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) -1)
Outputs
(*.f64 -2 x)
(+.f64 (*.f64 -2 x) (*.f64 -2 (/.f64 (pow.f64 x 2) y)))
(*.f64 -2 (+.f64 x (/.f64 (pow.f64 x 2) y)))
(*.f64 -2 (fma.f64 x (/.f64 x y) x))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(fma.f64 -2 x (*.f64 -2 (+.f64 (/.f64 (pow.f64 x 2) y) (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(*.f64 -2 (+.f64 (+.f64 x (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 3) (pow.f64 y 2))))
(*.f64 -2 (+.f64 (fma.f64 x (/.f64 x y) x) (/.f64 (pow.f64 x 3) (pow.f64 y 2))))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))))))
(fma.f64 -2 x (fma.f64 -2 (/.f64 (pow.f64 x 2) y) (*.f64 -2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 2)) (/.f64 (pow.f64 x 4) (pow.f64 y 3))))))
(*.f64 -2 (+.f64 (+.f64 x (/.f64 (pow.f64 x 2) y)) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 2)) (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(*.f64 -2 (+.f64 (fma.f64 x (/.f64 x y) x) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 2)) (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(*.f64 2 y)
(+.f64 (*.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 2) x)))
(*.f64 2 (+.f64 y (/.f64 (pow.f64 y 2) x)))
(*.f64 2 (fma.f64 y (/.f64 y x) y))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(fma.f64 2 y (*.f64 2 (+.f64 (/.f64 (pow.f64 y 2) x) (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(*.f64 2 (+.f64 y (fma.f64 y (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(*.f64 2 (fma.f64 (+.f64 (/.f64 y x) 1) y (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 2 y (fma.f64 2 (/.f64 (pow.f64 y 2) x) (*.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 2 (+.f64 (+.f64 y (/.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(*.f64 2 (fma.f64 (+.f64 (/.f64 y x) 1) y (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(*.f64 2 y)
(+.f64 (*.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 2) x)))
(*.f64 2 (+.f64 y (/.f64 (pow.f64 y 2) x)))
(*.f64 2 (fma.f64 y (/.f64 y x) y))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(fma.f64 2 y (*.f64 2 (+.f64 (/.f64 (pow.f64 y 2) x) (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(*.f64 2 (+.f64 y (fma.f64 y (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(*.f64 2 (fma.f64 (+.f64 (/.f64 y x) 1) y (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 2 y (fma.f64 2 (/.f64 (pow.f64 y 2) x) (*.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 2 (+.f64 (+.f64 y (/.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(*.f64 2 (fma.f64 (+.f64 (/.f64 y x) 1) y (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(*.f64 2 y)
(+.f64 (*.f64 2 y) (*.f64 2 (/.f64 (pow.f64 y 2) x)))
(*.f64 2 (+.f64 y (/.f64 (pow.f64 y 2) x)))
(*.f64 2 (fma.f64 y (/.f64 y x) y))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(fma.f64 2 y (*.f64 2 (+.f64 (/.f64 (pow.f64 y 2) x) (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(*.f64 2 (+.f64 y (fma.f64 y (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 2)))))
(*.f64 2 (fma.f64 (+.f64 (/.f64 y x) 1) y (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 2 y (fma.f64 2 (/.f64 (pow.f64 y 2) x) (*.f64 2 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 2 (+.f64 (+.f64 y (/.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(*.f64 2 (fma.f64 (+.f64 (/.f64 y x) 1) y (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(*.f64 -2 x)
(+.f64 (*.f64 -2 x) (*.f64 -2 (/.f64 (pow.f64 x 2) y)))
(*.f64 -2 (+.f64 x (/.f64 (pow.f64 x 2) y)))
(*.f64 -2 (fma.f64 x (/.f64 x y) x))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(fma.f64 -2 x (*.f64 -2 (+.f64 (/.f64 (pow.f64 x 2) y) (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(*.f64 -2 (+.f64 (+.f64 x (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 3) (pow.f64 y 2))))
(*.f64 -2 (+.f64 (fma.f64 x (/.f64 x y) x) (/.f64 (pow.f64 x 3) (pow.f64 y 2))))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))))))
(fma.f64 -2 x (fma.f64 -2 (/.f64 (pow.f64 x 2) y) (*.f64 -2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 2)) (/.f64 (pow.f64 x 4) (pow.f64 y 3))))))
(*.f64 -2 (+.f64 (+.f64 x (/.f64 (pow.f64 x 2) y)) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 2)) (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(*.f64 -2 (+.f64 (fma.f64 x (/.f64 x y) x) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 2)) (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))
(*.f64 -2 x)
(+.f64 (*.f64 -2 x) (*.f64 -2 (/.f64 (pow.f64 x 2) y)))
(*.f64 -2 (+.f64 x (/.f64 (pow.f64 x 2) y)))
(*.f64 -2 (fma.f64 x (/.f64 x y) x))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(fma.f64 -2 x (*.f64 -2 (+.f64 (/.f64 (pow.f64 x 2) y) (/.f64 (pow.f64 x 3) (pow.f64 y 2)))))
(*.f64 -2 (+.f64 (+.f64 x (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 3) (pow.f64 y 2))))
(*.f64 -2 (+.f64 (fma.f64 x (/.f64 x y) x) (/.f64 (pow.f64 x 3) (pow.f64 y 2))))
(+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))))))
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(*.f64 (-.f64 x y) (/.f64 1 y))
(+.f64 -1 (/.f64 x y))
(*.f64 1 (+.f64 (/.f64 x y) -1))
(+.f64 -1 (/.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 (cbrt.f64 (-.f64 x y)) y))
(+.f64 -1 (/.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 y)))
(+.f64 -1 (/.f64 x y))
(*.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2))
(+.f64 -1 (/.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2) (cbrt.f64 (+.f64 (/.f64 x y) -1)))
(+.f64 -1 (/.f64 x y))
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) y))
(+.f64 -1 (/.f64 x y))
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 y)))
(+.f64 -1 (/.f64 x y))
(*.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) (sqrt.f64 (+.f64 (/.f64 x y) -1)))
(+.f64 -1 (/.f64 x y))
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 y)))
(+.f64 -1 (/.f64 x y))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (/.f64 x y) 2) 1) (*.f64 (/.f64 x y) -1))))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 x y) 2) (/.f64 x (neg.f64 y))))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3)) (+.f64 (/.f64 x y) (+.f64 1 (pow.f64 (/.f64 x y) 2))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) 1) 1))
(*.f64 (/.f64 1 y) (-.f64 x y))
(+.f64 -1 (/.f64 x y))
(*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (/.f64 1 (+.f64 (/.f64 x y) 1)))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 2)) (/.f64 1 (+.f64 (/.f64 x y) 1)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 x y) 2)) (+.f64 (/.f64 x y) 1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 x y) (cbrt.f64 y)))
(+.f64 -1 (/.f64 x y))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 x y) (sqrt.f64 y)))
(+.f64 -1 (/.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) y))
(+.f64 -1 (/.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (+.f64 (/.f64 x y) -1)))
(*.f64 (cbrt.f64 (+.f64 -1 (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (/.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (pow.f64 (cbrt.f64 y) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 y)))
(+.f64 -1 (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) y))
(+.f64 -1 (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 y)))
(+.f64 -1 (/.f64 x y))
(*.f64 (+.f64 (sqrt.f64 (/.f64 x y)) 1) (-.f64 (sqrt.f64 (/.f64 x y)) 1))
(+.f64 -1 (/.f64 x y))
(pow.f64 (+.f64 (/.f64 x y) -1) 1)
(+.f64 -1 (/.f64 x y))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 3)
(+.f64 -1 (/.f64 x y))
(pow.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3) 1/3)
(+.f64 -1 (/.f64 x y))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) 2)
(+.f64 -1 (/.f64 x y))
(pow.f64 (/.f64 y (-.f64 x y)) -1)
(+.f64 -1 (/.f64 x y))
(neg.f64 (+.f64 1 (neg.f64 (/.f64 x y))))
(+.f64 -1 (/.f64 x y))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 2))
(+.f64 -1 (/.f64 x y))
(log.f64 (exp.f64 (+.f64 (/.f64 x y) -1)))
(+.f64 -1 (/.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 x y) -1))))
(+.f64 -1 (/.f64 x y))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3))
(+.f64 -1 (/.f64 x y))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 y 3)))
(+.f64 -1 (/.f64 x y))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 x y) -1)))
(+.f64 -1 (/.f64 x y))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x y) -1)))
(+.f64 -1 (/.f64 x y))
(exp.f64 (log.f64 (+.f64 (/.f64 x y) -1)))
(+.f64 -1 (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x y) -1)) 1))
(+.f64 -1 (/.f64 x y))
(fma.f64 x (/.f64 1 y) -1)
(+.f64 -1 (/.f64 x y))
(fma.f64 1 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)) -1)
(+.f64 -1 (/.f64 x y))
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) -1)
(+.f64 -1 (/.f64 x y))

eval57.0ms (1.3%)

Compiler

Compiled 2955 to 1772 computations (40% saved)

prune27.0ms (0.6%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1861187
Fresh000
Picked044
Done011
Total1866192
Accuracy
100.0%
Counts
192 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.8%
(/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y))
37.8%
(/.f64 (*.f64 x 2) (/.f64 x y))
86.8%
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
88.0%
(*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))
51.0%
(*.f64 2 y)
50.8%
(*.f64 -2 x)
Compiler

Compiled 52 to 36 computations (30.8% saved)

localize29.0ms (0.7%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
76.3%
(/.f64 (*.f64 x 2) (/.f64 x y))
Compiler

Compiled 19 to 10 computations (47.4% saved)

series5.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite93.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
1638×unpow-prod-down
852×log-prod
693×log1p-expm1-u
693×expm1-log1p-u
318×pow-unpow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01128
112228
2185228
Stop Event
node limit
Counts
1 → 146
Calls
Call 1
Inputs
(/.f64 (*.f64 x 2) (/.f64 x y))
Outputs
(+.f64 0 (*.f64 (*.f64 x 2) (/.f64 y x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (/.f64 y x))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (/.f64 y x))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (/.f64 y x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (/.f64 y x)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (/.f64 y x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 1)
(*.f64 x (*.f64 2 (/.f64 y x)))
(*.f64 x (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 y x))) 3))
(*.f64 x (pow.f64 (sqrt.f64 (*.f64 2 (/.f64 y x))) 2))
(*.f64 2 (/.f64 x (/.f64 x y)))
(*.f64 2 (*.f64 x (/.f64 y x)))
(*.f64 2 (pow.f64 (/.f64 x (/.f64 x y)) 1))
(*.f64 2 (pow.f64 (*.f64 x (/.f64 y x)) 1))
(*.f64 2 (pow.f64 (/.f64 (/.f64 x y) x) -1))
(*.f64 (*.f64 x 2) (/.f64 y x))
(*.f64 (*.f64 x 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 3))
(*.f64 (*.f64 x 2) (pow.f64 (sqrt.f64 (/.f64 y x)) 2))
(*.f64 y (*.f64 x (/.f64 2 x)))
(*.f64 (*.f64 (*.f64 x 2) (/.f64 y x)) 1)
(*.f64 (*.f64 (*.f64 x 2) (/.f64 y x)) (log.f64 (exp.f64 1)))
(*.f64 1 (*.f64 (*.f64 x 2) (/.f64 y x)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) 2))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) (pow.f64 (*.f64 4 (pow.f64 (*.f64 x (/.f64 y x)) 2)) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) 2) (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (/.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (*.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (pow.f64 (/.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 x y)) 1))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (pow.f64 (*.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 y x)) 1))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 2 (/.f64 y x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (*.f64 (cbrt.f64 x) (*.f64 2 (/.f64 y x))) 1))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) (sqrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))))
(*.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 x y)))
(*.f64 (sqrt.f64 (*.f64 x 2)) (*.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 y x)))
(*.f64 (sqrt.f64 (*.f64 x 2)) (pow.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 x y)) 1))
(*.f64 (sqrt.f64 (*.f64 x 2)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 y x)) 1))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 2 (/.f64 y x))))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (/.f64 y x))) 1))
(*.f64 (*.f64 x -2) (/.f64 1 (/.f64 (neg.f64 x) y)))
(*.f64 (*.f64 x -2) (pow.f64 (/.f64 1 (/.f64 (neg.f64 x) y)) 1))
(*.f64 (/.f64 y x) (*.f64 x 2))
(*.f64 (/.f64 y x) (pow.f64 (/.f64 1 (*.f64 x 2)) -1))
(*.f64 (*.f64 x (/.f64 2 x)) y)
(*.f64 (*.f64 2 (/.f64 y x)) x)
(*.f64 (/.f64 x x) (/.f64 2 (/.f64 1 y)))
(*.f64 (/.f64 x 1) (*.f64 2 (/.f64 y x)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 2 (cbrt.f64 (/.f64 x y))))
(*.f64 (/.f64 x (sqrt.f64 (/.f64 x y))) (/.f64 2 (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 2 (sqrt.f64 (/.f64 x y))) (/.f64 x (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 2 x) (/.f64 x (/.f64 1 y)))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 x (cbrt.f64 (/.f64 x y))))
(*.f64 (/.f64 1 x) (/.f64 (*.f64 x 2) (/.f64 1 y)))
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 (/.f64 1 y) (*.f64 x 2)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (*.f64 x 2) (cbrt.f64 (/.f64 x y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (pow.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (*.f64 x 2)) -1))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x y))) (/.f64 (*.f64 x 2) (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x y))) (pow.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (*.f64 x 2)) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) x) (/.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 1 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (sqrt.f64 (/.f64 x y))) (/.f64 (cbrt.f64 (*.f64 x 2)) (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) x) (/.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 1 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) 1) (/.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sqrt.f64 (*.f64 x 2)) (cbrt.f64 (/.f64 x y))))
(*.f64 (*.f64 (*.f64 x (/.f64 2 x)) 1) y)
(*.f64 (*.f64 (*.f64 x (/.f64 2 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 (*.f64 (*.f64 x (/.f64 2 x)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (*.f64 x 2) 1) (/.f64 y x))
(*.f64 (/.f64 (*.f64 x 2) (neg.f64 x)) (neg.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 (*.f64 x 2) (/.f64 y x)))
(*.f64 (pow.f64 (/.f64 2 x) 1) (pow.f64 (/.f64 x (/.f64 1 y)) 1))
(*.f64 (pow.f64 (/.f64 x x) 1) (pow.f64 (/.f64 2 (/.f64 1 y)) 1))
(*.f64 (pow.f64 (/.f64 1 x) 1) (pow.f64 (/.f64 (*.f64 x 2) (/.f64 1 y)) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) x) 1) (pow.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 1 y)) 1))
(*.f64 (pow.f64 (/.f64 x 1) 1) (*.f64 2 (/.f64 y x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 x y)) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 x y)) 1))
(*.f64 (pow.f64 (/.f64 1 x) -1) (*.f64 2 (/.f64 y x)))
(*.f64 (pow.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) 1) (pow.f64 (/.f64 2 (cbrt.f64 (/.f64 x y))) 1))
(*.f64 (pow.f64 (/.f64 x (sqrt.f64 (/.f64 x y))) 1) (pow.f64 (/.f64 2 (sqrt.f64 (/.f64 x y))) 1))
(*.f64 (pow.f64 (/.f64 2 (sqrt.f64 (/.f64 x y))) 1) (pow.f64 (/.f64 x (sqrt.f64 (/.f64 x y))) 1))
(*.f64 (pow.f64 (/.f64 2 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) 1) (pow.f64 (/.f64 x (cbrt.f64 (/.f64 x y))) 1))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) 1) (pow.f64 (/.f64 (*.f64 x 2) (cbrt.f64 (/.f64 x y))) 1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (/.f64 x y))) 1) (pow.f64 (/.f64 (*.f64 x 2) (sqrt.f64 (/.f64 x y))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) x) 1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 1 y)) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) 1) (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (sqrt.f64 (/.f64 x y))) 1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 x 2)) (sqrt.f64 (/.f64 x y))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) (cbrt.f64 (/.f64 x y))) 1))
(*.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 2 x)) 1) 1) y)
(*.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 2 x)) (pow.f64 (cbrt.f64 y) 2)) 1) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 2 x)) (sqrt.f64 y)) 1) (sqrt.f64 y))
(*.f64 (pow.f64 (/.f64 (*.f64 x 2) 1) 1) (/.f64 y x))
(*.f64 (pow.f64 (/.f64 (*.f64 x 2) (neg.f64 x)) 1) (neg.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 x))) 3) y)
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 3))
(*.f64 (pow.f64 (*.f64 4 (pow.f64 (*.f64 x (/.f64 y x)) 2)) 1/3) (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))))
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x 2) (/.f64 y x)) (sqrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 1/3) (pow.f64 (*.f64 (*.f64 (*.f64 x 2) (/.f64 y x)) (sqrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 x 2) (/.f64 y x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 x 2) (/.f64 y x)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (*.f64 4 (pow.f64 (*.f64 x (/.f64 y x)) 2)) x) 1/3) (pow.f64 (*.f64 2 (/.f64 y x)) 1/3))
(*.f64 (pow.f64 (*.f64 (*.f64 4 (pow.f64 (*.f64 x (/.f64 y x)) 2)) (*.f64 x 2)) 1/3) (pow.f64 (/.f64 y x) 1/3))
(*.f64 (pow.f64 (*.f64 (*.f64 4 (pow.f64 (*.f64 x (/.f64 y x)) 2)) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) 2)) 1/3) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) 1/3))
(*.f64 (pow.f64 (*.f64 (*.f64 4 (pow.f64 (*.f64 x (/.f64 y x)) 2)) (sqrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 1/3) (pow.f64 (sqrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) 1/3))
(*.f64 (pow.f64 (*.f64 (*.f64 4 (pow.f64 (*.f64 x (/.f64 y x)) 2)) (*.f64 x (/.f64 2 x))) 1/3) (cbrt.f64 y))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (/.f64 2 x))) 2) y)
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (/.f64 x y) x))) (cbrt.f64 (*.f64 1/2 (/.f64 (/.f64 x y) x)))) -1) (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))))
(*.f64 (pow.f64 (/.f64 x x) -1) (pow.f64 (/.f64 (/.f64 1 y) 2) -1))
(*.f64 (pow.f64 (/.f64 x 1) -1) (pow.f64 (/.f64 (/.f64 1 y) (*.f64 x 2)) -1))
(*.f64 (pow.f64 (/.f64 x 2) -1) (pow.f64 (/.f64 (/.f64 1 y) x) -1))
(*.f64 (pow.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) -1) (pow.f64 (/.f64 (/.f64 1 y) (cbrt.f64 (*.f64 x 2))) -1))
(*.f64 (pow.f64 (/.f64 x (sqrt.f64 (*.f64 x 2))) -1) (pow.f64 (/.f64 (/.f64 1 y) (sqrt.f64 (*.f64 x 2))) -1))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) -1) (pow.f64 (/.f64 (/.f64 x y) (cbrt.f64 (*.f64 x 2))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 x 2))) -1) (pow.f64 (/.f64 (/.f64 x y) (sqrt.f64 (*.f64 x 2))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) x) -1) (pow.f64 (/.f64 (cbrt.f64 (/.f64 x y)) 2) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 2) -1) (pow.f64 (/.f64 (cbrt.f64 (/.f64 x y)) x) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (*.f64 x 2)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (*.f64 x 2))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (sqrt.f64 (*.f64 x 2))) -1) (pow.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 (*.f64 x 2))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 x y)) x) -1) (pow.f64 (/.f64 (sqrt.f64 (/.f64 x y)) 2) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 x y)) 2) -1) (pow.f64 (/.f64 (sqrt.f64 (/.f64 x y)) x) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 x y)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (*.f64 x 2)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 (*.f64 x 2))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (*.f64 x 2))) -1) (pow.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (*.f64 x 2))) -1))
(pow.f64 (*.f64 (*.f64 x 2) (/.f64 y x)) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 x 2) (/.f64 y x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) 2)
(pow.f64 (*.f64 1/2 (/.f64 (/.f64 x y) x)) -1)
(pow.f64 (/.f64 (*.f64 1/2 (/.f64 (/.f64 x y) x)) 1) -1)
(neg.f64 (/.f64 (*.f64 x 2) (/.f64 (neg.f64 x) y)))
(neg.f64 (/.f64 (*.f64 x -2) (/.f64 x y)))
(sqrt.f64 (*.f64 4 (pow.f64 (*.f64 x (/.f64 y x)) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (/.f64 y x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x 2) (/.f64 y x)) 3))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 (/.f64 x y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x 2) (/.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x 2) (/.f64 y x))))
(exp.f64 (log.f64 (*.f64 (*.f64 x 2) (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 x 2) (/.f64 y x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 (/.f64 x y) x))) -1))

simplify159.0ms (3.7%)

Algorithm
egg-herbie
Rules
1906×fma-define
1254×log-prod
934×cube-prod
872×associate-*r*
846×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04264483
111244130
247373871
Stop Event
node limit
Counts
170 → 207
Calls
Call 1
Inputs
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(+.f64 0 (*.f64 (*.f64 x 2) (/.f64 y x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (/.f64 y x))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (/.f64 y x))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (/.f64 y x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (/.f64 y x)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (/.f64 y x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 1)
(*.f64 x (*.f64 2 (/.f64 y x)))
(*.f64 x (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 y x))) 3))
(*.f64 x (pow.f64 (sqrt.f64 (*.f64 2 (/.f64 y x))) 2))
(*.f64 2 (/.f64 x (/.f64 x y)))
(*.f64 2 (*.f64 x (/.f64 y x)))
(*.f64 2 (pow.f64 (/.f64 x (/.f64 x y)) 1))
(*.f64 2 (pow.f64 (*.f64 x (/.f64 y x)) 1))
(*.f64 2 (pow.f64 (/.f64 (/.f64 x y) x) -1))
(*.f64 (*.f64 x 2) (/.f64 y x))
(*.f64 (*.f64 x 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 3))
(*.f64 (*.f64 x 2) (pow.f64 (sqrt.f64 (/.f64 y x)) 2))
(*.f64 y (*.f64 x (/.f64 2 x)))
(*.f64 (*.f64 (*.f64 x 2) (/.f64 y x)) 1)
(*.f64 (*.f64 (*.f64 x 2) (/.f64 y x)) (log.f64 (exp.f64 1)))
(*.f64 1 (*.f64 (*.f64 x 2) (/.f64 y x)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) 2))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) (pow.f64 (*.f64 4 (pow.f64 (*.f64 x (/.f64 y x)) 2)) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) 2) (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (/.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (*.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (pow.f64 (/.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 x y)) 1))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (pow.f64 (*.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 y x)) 1))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 2 (/.f64 y x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (*.f64 (cbrt.f64 x) (*.f64 2 (/.f64 y x))) 1))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) (sqrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))))
(*.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 x y)))
(*.f64 (sqrt.f64 (*.f64 x 2)) (*.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 y x)))
(*.f64 (sqrt.f64 (*.f64 x 2)) (pow.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 x y)) 1))
(*.f64 (sqrt.f64 (*.f64 x 2)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 y x)) 1))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 2 (/.f64 y x))))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (/.f64 y x))) 1))
(*.f64 (*.f64 x -2) (/.f64 1 (/.f64 (neg.f64 x) y)))
(*.f64 (*.f64 x -2) (pow.f64 (/.f64 1 (/.f64 (neg.f64 x) y)) 1))
(*.f64 (/.f64 y x) (*.f64 x 2))
(*.f64 (/.f64 y x) (pow.f64 (/.f64 1 (*.f64 x 2)) -1))
(*.f64 (*.f64 x (/.f64 2 x)) y)
(*.f64 (*.f64 2 (/.f64 y x)) x)
(*.f64 (/.f64 x x) (/.f64 2 (/.f64 1 y)))
(*.f64 (/.f64 x 1) (*.f64 2 (/.f64 y x)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 2 (cbrt.f64 (/.f64 x y))))
(*.f64 (/.f64 x (sqrt.f64 (/.f64 x y))) (/.f64 2 (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 2 (sqrt.f64 (/.f64 x y))) (/.f64 x (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 2 x) (/.f64 x (/.f64 1 y)))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 x (cbrt.f64 (/.f64 x y))))
(*.f64 (/.f64 1 x) (/.f64 (*.f64 x 2) (/.f64 1 y)))
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 (/.f64 1 y) (*.f64 x 2)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (*.f64 x 2) (cbrt.f64 (/.f64 x y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (pow.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (*.f64 x 2)) -1))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x y))) (/.f64 (*.f64 x 2) (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x y))) (pow.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (*.f64 x 2)) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) x) (/.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 1 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (sqrt.f64 (/.f64 x y))) (/.f64 (cbrt.f64 (*.f64 x 2)) (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) x) (/.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 1 y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) 1) (/.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sqrt.f64 (*.f64 x 2)) (cbrt.f64 (/.f64 x y))))
(*.f64 (*.f64 (*.f64 x (/.f64 2 x)) 1) y)
(*.f64 (*.f64 (*.f64 x (/.f64 2 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 (*.f64 (*.f64 x (/.f64 2 x)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (*.f64 x 2) 1) (/.f64 y x))
(*.f64 (/.f64 (*.f64 x 2) (neg.f64 x)) (neg.f64 y))
(*.f64 (pow.f64 1 1/3) (*.f64 (*.f64 x 2) (/.f64 y x)))
(*.f64 (pow.f64 (/.f64 2 x) 1) (pow.f64 (/.f64 x (/.f64 1 y)) 1))
(*.f64 (pow.f64 (/.f64 x x) 1) (pow.f64 (/.f64 2 (/.f64 1 y)) 1))
(*.f64 (pow.f64 (/.f64 1 x) 1) (pow.f64 (/.f64 (*.f64 x 2) (/.f64 1 y)) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) x) 1) (pow.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 1 y)) 1))
(*.f64 (pow.f64 (/.f64 x 1) 1) (*.f64 2 (/.f64 y x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 x y)) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 x y)) 1))
(*.f64 (pow.f64 (/.f64 1 x) -1) (*.f64 2 (/.f64 y x)))
(*.f64 (pow.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) 1) (pow.f64 (/.f64 2 (cbrt.f64 (/.f64 x y))) 1))
(*.f64 (pow.f64 (/.f64 x (sqrt.f64 (/.f64 x y))) 1) (pow.f64 (/.f64 2 (sqrt.f64 (/.f64 x y))) 1))
(*.f64 (pow.f64 (/.f64 2 (sqrt.f64 (/.f64 x y))) 1) (pow.f64 (/.f64 x (sqrt.f64 (/.f64 x y))) 1))
(*.f64 (pow.f64 (/.f64 2 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) 1) (pow.f64 (/.f64 x (cbrt.f64 (/.f64 x y))) 1))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) 1) (pow.f64 (/.f64 (*.f64 x 2) (cbrt.f64 (/.f64 x y))) 1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (/.f64 x y))) 1) (pow.f64 (/.f64 (*.f64 x 2) (sqrt.f64 (/.f64 x y))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) x) 1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 1 y)) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) 1) (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (sqrt.f64 (/.f64 x y))) 1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 x 2)) (sqrt.f64 (/.f64 x y))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) (cbrt.f64 (/.f64 x y))) 1))
(*.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 2 x)) 1) 1) y)
(*.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 2 x)) (pow.f64 (cbrt.f64 y) 2)) 1) (cbrt.f64 y))
(*.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 2 x)) (sqrt.f64 y)) 1) (sqrt.f64 y))
(*.f64 (pow.f64 (/.f64 (*.f64 x 2) 1) 1) (/.f64 y x))
(*.f64 (pow.f64 (/.f64 (*.f64 x 2) (neg.f64 x)) 1) (neg.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 x))) 3) y)
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 3))
(*.f64 (pow.f64 (*.f64 4 (pow.f64 (*.f64 x (/.f64 y x)) 2)) 1/3) (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))))
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x 2) (/.f64 y x)) (sqrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 1/3) (pow.f64 (*.f64 (*.f64 (*.f64 x 2) (/.f64 y x)) (sqrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 x 2) (/.f64 y x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 x 2) (/.f64 y x)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (*.f64 4 (pow.f64 (*.f64 x (/.f64 y x)) 2)) x) 1/3) (pow.f64 (*.f64 2 (/.f64 y x)) 1/3))
(*.f64 (pow.f64 (*.f64 (*.f64 4 (pow.f64 (*.f64 x (/.f64 y x)) 2)) (*.f64 x 2)) 1/3) (pow.f64 (/.f64 y x) 1/3))
(*.f64 (pow.f64 (*.f64 (*.f64 4 (pow.f64 (*.f64 x (/.f64 y x)) 2)) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) 2)) 1/3) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) 1/3))
(*.f64 (pow.f64 (*.f64 (*.f64 4 (pow.f64 (*.f64 x (/.f64 y x)) 2)) (sqrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 1/3) (pow.f64 (sqrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) 1/3))
(*.f64 (pow.f64 (*.f64 (*.f64 4 (pow.f64 (*.f64 x (/.f64 y x)) 2)) (*.f64 x (/.f64 2 x))) 1/3) (cbrt.f64 y))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (/.f64 2 x))) 2) y)
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (/.f64 x y) x))) (cbrt.f64 (*.f64 1/2 (/.f64 (/.f64 x y) x)))) -1) (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))))
(*.f64 (pow.f64 (/.f64 x x) -1) (pow.f64 (/.f64 (/.f64 1 y) 2) -1))
(*.f64 (pow.f64 (/.f64 x 1) -1) (pow.f64 (/.f64 (/.f64 1 y) (*.f64 x 2)) -1))
(*.f64 (pow.f64 (/.f64 x 2) -1) (pow.f64 (/.f64 (/.f64 1 y) x) -1))
(*.f64 (pow.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) -1) (pow.f64 (/.f64 (/.f64 1 y) (cbrt.f64 (*.f64 x 2))) -1))
(*.f64 (pow.f64 (/.f64 x (sqrt.f64 (*.f64 x 2))) -1) (pow.f64 (/.f64 (/.f64 1 y) (sqrt.f64 (*.f64 x 2))) -1))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) -1) (pow.f64 (/.f64 (/.f64 x y) (cbrt.f64 (*.f64 x 2))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 x 2))) -1) (pow.f64 (/.f64 (/.f64 x y) (sqrt.f64 (*.f64 x 2))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) x) -1) (pow.f64 (/.f64 (cbrt.f64 (/.f64 x y)) 2) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 2) -1) (pow.f64 (/.f64 (cbrt.f64 (/.f64 x y)) x) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (*.f64 x 2)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (*.f64 x 2))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (sqrt.f64 (*.f64 x 2))) -1) (pow.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 (*.f64 x 2))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 x y)) x) -1) (pow.f64 (/.f64 (sqrt.f64 (/.f64 x y)) 2) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 x y)) 2) -1) (pow.f64 (/.f64 (sqrt.f64 (/.f64 x y)) x) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 x y)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (*.f64 x 2)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x 2)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 (*.f64 x 2))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (*.f64 x 2))) -1) (pow.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (*.f64 x 2))) -1))
(pow.f64 (*.f64 (*.f64 x 2) (/.f64 y x)) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 x 2) (/.f64 y x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) 2)
(pow.f64 (*.f64 1/2 (/.f64 (/.f64 x y) x)) -1)
(pow.f64 (/.f64 (*.f64 1/2 (/.f64 (/.f64 x y) x)) 1) -1)
(neg.f64 (/.f64 (*.f64 x 2) (/.f64 (neg.f64 x) y)))
(neg.f64 (/.f64 (*.f64 x -2) (/.f64 x y)))
(sqrt.f64 (*.f64 4 (pow.f64 (*.f64 x (/.f64 y x)) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (/.f64 y x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x 2) (/.f64 y x)) 3))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 (/.f64 x y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x 2) (/.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x 2) (/.f64 y x))))
(exp.f64 (log.f64 (*.f64 (*.f64 x 2) (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 x 2) (/.f64 y x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 (/.f64 x y) x))) -1))
Outputs
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(*.f64 2 y)
(+.f64 0 (*.f64 (*.f64 x 2) (/.f64 y x)))
(*.f64 2 y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (/.f64 y x))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (/.f64 y x))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (/.f64 y x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (/.f64 y x))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (/.f64 y x)))))
(fma.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) y))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (/.f64 y x)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (/.f64 y x)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (/.f64 y x)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 1)
(expm1.f64 (log1p.f64 (*.f64 2 y)))
(+.f64 (fma.f64 2 y 1) -1)
(*.f64 x (*.f64 2 (/.f64 y x)))
(*.f64 2 y)
(*.f64 x (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 y x))) 3))
(*.f64 2 y)
(*.f64 x (pow.f64 (sqrt.f64 (*.f64 2 (/.f64 y x))) 2))
(*.f64 2 y)
(*.f64 2 (/.f64 x (/.f64 x y)))
(*.f64 2 y)
(*.f64 2 (*.f64 x (/.f64 y x)))
(*.f64 2 y)
(*.f64 2 (pow.f64 (/.f64 x (/.f64 x y)) 1))
(*.f64 2 y)
(*.f64 2 (pow.f64 (*.f64 x (/.f64 y x)) 1))
(*.f64 2 y)
(*.f64 2 (pow.f64 (/.f64 (/.f64 x y) x) -1))
(*.f64 2 y)
(*.f64 (*.f64 x 2) (/.f64 y x))
(*.f64 2 y)
(*.f64 (*.f64 x 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 3))
(*.f64 2 y)
(*.f64 (*.f64 x 2) (pow.f64 (sqrt.f64 (/.f64 y x)) 2))
(*.f64 2 y)
(*.f64 y (*.f64 x (/.f64 2 x)))
(*.f64 2 y)
(*.f64 (*.f64 (*.f64 x 2) (/.f64 y x)) 1)
(*.f64 2 y)
(*.f64 (*.f64 (*.f64 x 2) (/.f64 y x)) (log.f64 (exp.f64 1)))
(*.f64 2 y)
(*.f64 1 (*.f64 (*.f64 x 2) (/.f64 y x)))
(*.f64 2 y)
(*.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) 2))
(*.f64 2 y)
(*.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) (pow.f64 (*.f64 4 (pow.f64 (*.f64 x (/.f64 y x)) 2)) 1/3))
(*.f64 (cbrt.f64 (*.f64 2 y)) (cbrt.f64 (*.f64 4 (pow.f64 (*.f64 x (/.f64 y x)) 2))))
(*.f64 (cbrt.f64 (*.f64 2 y)) (cbrt.f64 (pow.f64 (*.f64 2 y) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) 2) (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))))
(*.f64 2 y)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 y)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (/.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 x y)))
(*.f64 2 y)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (*.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 y x)))
(*.f64 2 y)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (pow.f64 (/.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 x y)) 1))
(*.f64 2 y)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (pow.f64 (*.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 y x)) 1))
(*.f64 2 y)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 2 (/.f64 y x))))
(*.f64 2 y)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (*.f64 (cbrt.f64 x) (*.f64 2 (/.f64 y x))) 1))
(*.f64 2 y)
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) (sqrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))))
(*.f64 2 y)
(*.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 x y)))
(*.f64 2 y)
(*.f64 (sqrt.f64 (*.f64 x 2)) (*.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 y x)))
(*.f64 2 y)
(*.f64 (sqrt.f64 (*.f64 x 2)) (pow.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 x y)) 1))
(*.f64 2 y)
(*.f64 (sqrt.f64 (*.f64 x 2)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 y x)) 1))
(*.f64 2 y)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 2 (/.f64 y x))))
(*.f64 2 y)
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 2 (/.f64 y x))) 1))
(*.f64 2 y)
(*.f64 (*.f64 x -2) (/.f64 1 (/.f64 (neg.f64 x) y)))
(*.f64 2 y)
(*.f64 (*.f64 x -2) (pow.f64 (/.f64 1 (/.f64 (neg.f64 x) y)) 1))
(*.f64 2 y)
(*.f64 (/.f64 y x) (*.f64 x 2))
(*.f64 2 y)
(*.f64 (/.f64 y x) (pow.f64 (/.f64 1 (*.f64 x 2)) -1))
(*.f64 2 y)
(*.f64 (*.f64 x (/.f64 2 x)) y)
(*.f64 2 y)
(*.f64 (*.f64 2 (/.f64 y x)) x)
(*.f64 2 y)
(*.f64 (/.f64 x x) (/.f64 2 (/.f64 1 y)))
(*.f64 2 y)
(*.f64 (/.f64 x 1) (*.f64 2 (/.f64 y x)))
(*.f64 2 y)
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 2 (cbrt.f64 (/.f64 x y))))
(*.f64 2 (/.f64 (/.f64 x (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))
(/.f64 (*.f64 2 x) (pow.f64 (cbrt.f64 (/.f64 x y)) 3))
(*.f64 (/.f64 x (sqrt.f64 (/.f64 x y))) (/.f64 2 (sqrt.f64 (/.f64 x y))))
(*.f64 x (/.f64 (/.f64 2 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 2 (sqrt.f64 (/.f64 x y))) (/.f64 x (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 x (sqrt.f64 (/.f64 x y))) (/.f64 2 (sqrt.f64 (/.f64 x y))))
(*.f64 x (/.f64 (/.f64 2 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 2 x) (/.f64 x (/.f64 1 y)))
(*.f64 2 y)
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 x (cbrt.f64 (/.f64 x y))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 2 (cbrt.f64 (/.f64 x y))))
(*.f64 2 (/.f64 (/.f64 x (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))
(/.f64 (*.f64 2 x) (pow.f64 (cbrt.f64 (/.f64 x y)) 3))
(*.f64 (/.f64 1 x) (/.f64 (*.f64 x 2) (/.f64 1 y)))
(*.f64 2 y)
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 (/.f64 1 y) (*.f64 x 2)) -1))
(*.f64 2 y)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (*.f64 x 2) (cbrt.f64 (/.f64 x y))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 2 (cbrt.f64 (/.f64 x y))))
(*.f64 2 (/.f64 (/.f64 x (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))
(/.f64 (*.f64 2 x) (pow.f64 (cbrt.f64 (/.f64 x y)) 3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (pow.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (*.f64 x 2)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 1 (/.f64 (cbrt.f64 (/.f64 x y)) (*.f64 2 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (cbrt.f64 (/.f64 x y)) (*.f64 2 x)))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x y))) (/.f64 (*.f64 x 2) (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 x (sqrt.f64 (/.f64 x y))) (/.f64 2 (sqrt.f64 (/.f64 x y))))
(*.f64 x (/.f64 (/.f64 2 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x y))) (pow.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (*.f64 x 2)) -1))
(*.f64 (/.f64 x (sqrt.f64 (/.f64 x y))) (/.f64 2 (sqrt.f64 (/.f64 x y))))
(*.f64 x (/.f64 (/.f64 2 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) x) (/.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 1 y)))
(*.f64 2 y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 x y)))
(*.f64 2 y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x))))
(*.f64 (cbrt.f64 (*.f64 2 y)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 2 y)) (pow.f64 (cbrt.f64 (*.f64 2 x)) 2)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (sqrt.f64 (/.f64 x y))) (/.f64 (cbrt.f64 (*.f64 x 2)) (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 x (sqrt.f64 (/.f64 x y))) (/.f64 2 (sqrt.f64 (/.f64 x y))))
(*.f64 x (/.f64 (/.f64 2 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) x) (/.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 1 y)))
(*.f64 2 y)
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) 1) (/.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 x y)))
(*.f64 2 y)
(*.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sqrt.f64 (*.f64 x 2)) (cbrt.f64 (/.f64 x y))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 2 (cbrt.f64 (/.f64 x y))))
(*.f64 2 (/.f64 (/.f64 x (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))
(/.f64 (*.f64 2 x) (pow.f64 (cbrt.f64 (/.f64 x y)) 3))
(*.f64 (*.f64 (*.f64 x (/.f64 2 x)) 1) y)
(*.f64 2 y)
(*.f64 (*.f64 (*.f64 x (/.f64 2 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 2 y)
(*.f64 (*.f64 (*.f64 x (/.f64 2 x)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 2 y)
(*.f64 (/.f64 (*.f64 x 2) 1) (/.f64 y x))
(*.f64 2 y)
(*.f64 (/.f64 (*.f64 x 2) (neg.f64 x)) (neg.f64 y))
(*.f64 2 y)
(*.f64 (pow.f64 1 1/3) (*.f64 (*.f64 x 2) (/.f64 y x)))
(*.f64 2 y)
(*.f64 (pow.f64 (/.f64 2 x) 1) (pow.f64 (/.f64 x (/.f64 1 y)) 1))
(*.f64 2 y)
(*.f64 (pow.f64 (/.f64 x x) 1) (pow.f64 (/.f64 2 (/.f64 1 y)) 1))
(*.f64 2 y)
(*.f64 (pow.f64 (/.f64 1 x) 1) (pow.f64 (/.f64 (*.f64 x 2) (/.f64 1 y)) 1))
(*.f64 2 y)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) x) 1) (pow.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 1 y)) 1))
(*.f64 2 y)
(*.f64 (pow.f64 (/.f64 x 1) 1) (*.f64 2 (/.f64 y x)))
(*.f64 2 y)
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 x 2)) (/.f64 x y)) 1))
(*.f64 2 y)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 x y)) 1))
(*.f64 2 y)
(*.f64 (pow.f64 (/.f64 1 x) -1) (*.f64 2 (/.f64 y x)))
(*.f64 2 y)
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(expm1.f64 (log1p.f64 (*.f64 (*.f64 x 2) (/.f64 y x))))
(expm1.f64 (log1p.f64 (*.f64 2 y)))
(+.f64 (fma.f64 2 y 1) -1)
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x 2) (/.f64 y x))))
(*.f64 2 y)
(exp.f64 (log.f64 (*.f64 (*.f64 x 2) (/.f64 y x))))
(*.f64 2 y)
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x 2) (/.f64 y x))) 1))
(*.f64 2 y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 3))
(*.f64 2 y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 x 2) (/.f64 y x)) 3)) 1/3))
(*.f64 2 y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 x 2) (/.f64 y x)))) 2))
(*.f64 2 y)
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 (/.f64 x y) x))) -1))
(*.f64 2 y)

eval91.0ms (2.1%)

Compiler

Compiled 3235 to 1995 computations (38.3% saved)

prune32.0ms (0.7%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New2061207
Fresh000
Picked011
Done055
Total2067213
Accuracy
100.0%
Counts
213 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.8%
(/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y))
37.8%
(/.f64 (*.f64 x 2) (/.f64 x y))
86.8%
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
50.9%
(*.f64 (*.f64 x (/.f64 2 x)) y)
88.0%
(*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))
51.0%
(*.f64 2 y)
50.8%
(*.f64 -2 x)
Compiler

Compiled 61 to 42 computations (31.1% saved)

localize34.0ms (0.8%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
99.7%
(*.f64 x (/.f64 2 x))
Compiler

Compiled 21 to 13 computations (38.1% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite65.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
636×unpow-prod-down
384×log-prod
382×cbrt-prod
344×sqrt-prod
340×log1p-expm1-u
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0819
17519
29451
Stop Event
node limit
Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 x (/.f64 2 x))
Outputs
2

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113
Stop Event
saturated
Counts
13 → 1
Calls
Call 1
Inputs
2
2
2
2
2
2
2
2
2
2
2
2
2
Outputs
2
2
2
2
2
2
2
2
2
2
2
2
2

eval0.0ms (0%)

Compiler

Compiled 5 to 4 computations (20% saved)

prune4.0ms (0.1%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New101
Fresh000
Picked011
Done066
Total178
Accuracy
100.0%
Counts
8 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.8%
(/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y))
37.8%
(/.f64 (*.f64 x 2) (/.f64 x y))
86.8%
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
50.9%
(*.f64 (*.f64 x (/.f64 2 x)) y)
88.0%
(*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))
51.0%
(*.f64 2 y)
50.8%
(*.f64 -2 x)
Compiler

Compiled 119 to 74 computations (37.8% saved)

regimes74.0ms (1.7%)

Counts
8 → 5
Calls
Call 1
Inputs
(*.f64 -2 x)
(*.f64 2 y)
(*.f64 (*.f64 x (/.f64 2 x)) y)
(/.f64 (*.f64 x 2) (/.f64 x y))
(*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
(/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y))
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))
Outputs
(*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))
(*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))
(*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))
Calls

3 calls:

32.0ms
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))
21.0ms
x
21.0ms
y
Results
AccuracySegmentsBranch
93.8%3x
95.1%3y
99.1%5(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes57.0ms (1.3%)

Counts
7 → 3
Calls
Call 1
Inputs
(*.f64 -2 x)
(*.f64 2 y)
(*.f64 (*.f64 x (/.f64 2 x)) y)
(/.f64 (*.f64 x 2) (/.f64 x y))
(*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))
(/.f64 (*.f64 x 2) (+.f64 (/.f64 x y) -1))
(/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y))
Outputs
(*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))
(*.f64 2 y)
(*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))
Calls

1 calls:

56.0ms
y
Results
AccuracySegmentsBranch
95.1%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes33.0ms (0.8%)

Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 -2 x)
(*.f64 2 y)
(*.f64 (*.f64 x (/.f64 2 x)) y)
(/.f64 (*.f64 x 2) (/.f64 x y))
Outputs
(*.f64 2 y)
(*.f64 -2 x)
(*.f64 2 y)
Calls

2 calls:

21.0ms
x
11.0ms
y
Results
AccuracySegmentsBranch
80.5%3x
76.4%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

4.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
50.8%1y
50.8%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2736696720556858e+129
+inf
0.0ms
0.0
3.366360073950674e-307
0.0ms
-2.2375922178319682e-296
-9.086398657396087e-308
0.0ms
-4.5088488475843004e-20
-3.6346196397318964e-27
Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch29.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
5.273034943734023e-158
1.0444918225932594e-156
16.0ms
-6.51826205432515e-200
-1.5652571620387227e-207
Results
24.0ms240×256valid
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 304 to 219 computations (28% saved)

bsearch145.0ms (3.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
3.4346909554945897e-41
3.4266924214447144e-40
135.0ms
-5.010729517589423e-21
-5.699584601138717e-25
Results
141.0ms208×256valid
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 184 to 151 computations (17.9% saved)

simplify16.0ms (0.4%)

Algorithm
egg-herbie
Rules
14×*-commutative
10×if-if-or-not
not-or
if-not
not-not
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
045474
165444
272414
380410
485410
589410
690410
791410
Stop Event
done
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) -6646139978924579/166153499473114484112975882535043072) (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) (if (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) -3681675540198023/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184) (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) (if (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) 0) (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) (if (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) 1999999999999999996434887128370482831977857737518825000873086679459880803811809298994231532284537120019554351933503330752464420864) (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))))))
(if (<=.f64 y -3860956584171391/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576) (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) (if (<=.f64 y 463744502762071/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856) (*.f64 2 y) (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))))
(if (<=.f64 x -3743106036130323/170141183460469231731687303715884105728) (*.f64 2 y) (if (<=.f64 x 8336775742310435/24519928653854221733733552434404946937899825954937634816) (*.f64 -2 x) (*.f64 2 y)))
(*.f64 -2 x)
Outputs
(if (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) -6646139978924579/166153499473114484112975882535043072) (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) (if (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) -3681675540198023/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184) (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) (if (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) 0) (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) (if (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) 1999999999999999996434887128370482831977857737518825000873086679459880803811809298994231532284537120019554351933503330752464420864) (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))))))
(if (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) -6646139978924579/166153499473114484112975882535043072) (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) (if (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) -3681675540198023/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184) (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) (if (or (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) 0) (not (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) 1999999999999999996434887128370482831977857737518825000873086679459880803811809298994231532284537120019554351933503330752464420864))) (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)))))
(if (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) -6646139978924579/166153499473114484112975882535043072) (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) (if (or (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) -3681675540198023/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184) (not (or (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) 0) (not (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) 1999999999999999996434887128370482831977857737518825000873086679459880803811809298994231532284537120019554351933503330752464420864))))) (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))))
(if (or (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) -6646139978924579/166153499473114484112975882535043072) (not (or (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) -3681675540198023/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184) (not (or (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) 0) (not (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) 1999999999999999996434887128370482831977857737518825000873086679459880803811809298994231532284537120019554351933503330752464420864))))))) (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)))
(if (or (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) -6646139978924579/166153499473114484112975882535043072) (not (or (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) -3681675540198023/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184) (and (not (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) 0)) (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) 1999999999999999996434887128370482831977857737518825000873086679459880803811809298994231532284537120019554351933503330752464420864))))) (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)))
(if (or (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) -6646139978924579/166153499473114484112975882535043072) (and (not (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) -3681675540198023/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184)) (or (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) 0) (not (<=.f64 (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)) 1999999999999999996434887128370482831977857737518825000873086679459880803811809298994231532284537120019554351933503330752464420864))))) (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) (/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y)))
(if (<=.f64 y -3860956584171391/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576) (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) (if (<=.f64 y 463744502762071/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856) (*.f64 2 y) (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y))))))
(if (or (<=.f64 y -3860956584171391/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576) (not (<=.f64 y 463744502762071/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856))) (*.f64 x (*.f64 2 (/.f64 y (-.f64 x y)))) (*.f64 2 y))
(if (<=.f64 x -3743106036130323/170141183460469231731687303715884105728) (*.f64 2 y) (if (<=.f64 x 8336775742310435/24519928653854221733733552434404946937899825954937634816) (*.f64 -2 x) (*.f64 2 y)))
(if (or (<=.f64 x -3743106036130323/170141183460469231731687303715884105728) (not (<=.f64 x 8336775742310435/24519928653854221733733552434404946937899825954937634816))) (*.f64 2 y) (*.f64 x -2))
(*.f64 -2 x)
(*.f64 x -2)
Compiler

Compiled 115 to 74 computations (35.7% saved)

soundness442.0ms (10.4%)

Rules
1302×fma-neg
804×associate-*l*
798×distribute-lft-in
788×times-frac
744×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028291
175259
2244259
3867259
42600259
53306259
63719259
73865259
83880259
93913259
103925259
114129259
124225259
134225259
144329259
155068259
165076259
Stop Event
saturated
Compiler

Compiled 29 to 14 computations (51.7% saved)

end0.0ms (0%)

preprocess138.0ms (3.3%)

Compiler

Compiled 314 to 188 computations (40.1% saved)

Profiling

Loading profile data...