Linear.Projection:perspective from linear-1.19.1.3, A

Time bar (total: 5.5s)

analyze16.0ms (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 10 to 6 computations (40% saved)

sample1.2s (21.5%)

Results
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Bogosity

preprocess284.0ms (5.2%)

Algorithm
egg-herbie
Rules
2884×fma-def
1000×div-sub
824×times-frac
452×fma-neg
436×associate-/r*
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(/.f64 (+.f64 x y) (-.f64 x y))
00-0-(+.f64 x y)
00-0-(-.f64 x y)
00-0-y
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
024241
147233
297233
3243217
4755217
52838217
64486217
75200217
85432217
95542217
105554217
115554217
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 (+.f64 (neg.f64 x) y) (-.f64 (neg.f64 x) y))
(/.f64 (+.f64 x (neg.f64 y)) (-.f64 x (neg.f64 y)))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) y) (-.f64 (neg.f64 x) y)))
(neg.f64 (/.f64 (+.f64 x (neg.f64 y)) (-.f64 x (neg.f64 y))))
(/.f64 (+.f64 y x) (-.f64 y x))
Outputs
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 (+.f64 (neg.f64 x) y) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 y x) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 x y) (+.f64 x y))
(/.f64 (+.f64 x (neg.f64 y)) (-.f64 x (neg.f64 y)))
(/.f64 (-.f64 y x) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 x y) (+.f64 x y))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) y) (-.f64 (neg.f64 x) y)))
(/.f64 (neg.f64 (-.f64 y x)) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 x y) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 y x) (+.f64 x y))
(neg.f64 (/.f64 (+.f64 x (neg.f64 y)) (-.f64 x (neg.f64 y))))
(/.f64 (neg.f64 (-.f64 y x)) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 x y) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 y x) (+.f64 x y))
(/.f64 (+.f64 y x) (-.f64 y x))
(/.f64 (+.f64 x y) (-.f64 y x))
Compiler

Compiled 45 to 17 computations (62.2% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 9 to 5 computations (44.4% saved)

localize33.0ms (0.6%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
99.9%
(/.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 18 to 6 computations (66.7% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite390.0ms (7.1%)

Algorithm
batch-egg-rewrite
Rules
1104×prod-diff
733×log1p-expm1-u
733×expm1-log1p-u
668×log-prod
508×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
112731
2192131
Stop Event
node limit
Counts
1 → 46
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (-.f64 x y))
Outputs
(+.f64 0 (/.f64 (+.f64 x y) (-.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1)
(*.f64 (+.f64 x y) (/.f64 1 (-.f64 x y)))
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y))))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (neg.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 x y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 x y))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (+.f64 x y) (pow.f64 x 2)))
(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)
(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) -1)
(pow.f64 (/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 1) -1)
(neg.f64 (/.f64 (+.f64 x y) (neg.f64 (-.f64 x y))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (-.f64 x y) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y))) -1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))

simplify59.0ms (1.1%)

Algorithm
egg-herbie
Rules
1974×fma-def
1616×times-frac
702×associate-*r/
632×distribute-lft-in
592×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02043124
15662876
219452526
Stop Event
node limit
Counts
70 → 91
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 x y)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1)
1
(-.f64 (+.f64 1 (/.f64 y x)) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 y x) (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2)))) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 y x) (+.f64 (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2)) (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y (*.f64 -1 y))) (pow.f64 x 3))))) (*.f64 -1 (/.f64 y x)))
1
(-.f64 (+.f64 1 (/.f64 y x)) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 y x) (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2)))) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 y x) (+.f64 (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2)) (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y (*.f64 -1 y))) (pow.f64 x 3))))) (*.f64 -1 (/.f64 y x)))
1
(+.f64 1 (*.f64 2 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
-1
(-.f64 (*.f64 -1 (/.f64 x y)) (+.f64 1 (/.f64 x y)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 x y)) (/.f64 (*.f64 x (-.f64 (*.f64 -1 x) x)) (pow.f64 y 2))) (+.f64 1 (/.f64 x y)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 x y)) (+.f64 (/.f64 (*.f64 x (-.f64 (*.f64 -1 x) x)) (pow.f64 y 2)) (/.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 1 (/.f64 x y)))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 x (*.f64 -1 x)) y)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 x (-.f64 x (*.f64 -1 x))) (pow.f64 y 2))) (*.f64 -1 (/.f64 (-.f64 x (*.f64 -1 x)) y))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 x (-.f64 x (*.f64 -1 x))) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 x (*.f64 -1 x))) (pow.f64 y 3))) (*.f64 -1 (/.f64 (-.f64 x (*.f64 -1 x)) y)))) 1)
(+.f64 0 (/.f64 (+.f64 x y) (-.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1)
(*.f64 (+.f64 x y) (/.f64 1 (-.f64 x y)))
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y))))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (neg.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 x y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 x y))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (+.f64 x y) (pow.f64 x 2)))
(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)
(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) -1)
(pow.f64 (/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 1) -1)
(neg.f64 (/.f64 (+.f64 x y) (neg.f64 (-.f64 x y))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (-.f64 x y) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y))) -1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
Outputs
-1
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
(fma.f64 -2 (/.f64 x y) -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 x y)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1)
(+.f64 (*.f64 -2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) -1)
(fma.f64 -2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2))) -1)
(fma.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)) -1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1)
(+.f64 (fma.f64 -2 (/.f64 x y) (*.f64 -2 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) -1)
(fma.f64 -2 (/.f64 x y) (fma.f64 -2 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1))
(fma.f64 -2 (+.f64 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)) (pow.f64 (/.f64 x y) 3)) -1)
1
(-.f64 (+.f64 1 (/.f64 y x)) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 1 (/.f64 y x)) (/.f64 (neg.f64 y) x))
(+.f64 1 (+.f64 (/.f64 y x) (/.f64 y x)))
(fma.f64 2 (/.f64 y x) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 y x) (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2)))) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 y x) (/.f64 y (/.f64 (pow.f64 x 2) (-.f64 y (neg.f64 y)))))) (/.f64 (neg.f64 y) x))
(+.f64 (+.f64 1 (/.f64 y x)) (+.f64 (/.f64 y x) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(fma.f64 2 (*.f64 (/.f64 y x) (+.f64 1 (/.f64 y x))) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 y x) (+.f64 (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2)) (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y (*.f64 -1 y))) (pow.f64 x 3))))) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 y x) (+.f64 (/.f64 y (/.f64 (pow.f64 x 2) (-.f64 y (neg.f64 y)))) (/.f64 (pow.f64 y 2) (/.f64 (pow.f64 x 3) (-.f64 y (neg.f64 y))))))) (/.f64 (neg.f64 y) x))
(+.f64 1 (+.f64 (*.f64 2 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (/.f64 y x) (/.f64 y x))))
(fma.f64 2 (+.f64 (*.f64 (/.f64 y x) (+.f64 1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)) 1)
1
(-.f64 (+.f64 1 (/.f64 y x)) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 1 (/.f64 y x)) (/.f64 (neg.f64 y) x))
(+.f64 1 (+.f64 (/.f64 y x) (/.f64 y x)))
(fma.f64 2 (/.f64 y x) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 y x) (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2)))) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 y x) (/.f64 y (/.f64 (pow.f64 x 2) (-.f64 y (neg.f64 y)))))) (/.f64 (neg.f64 y) x))
(+.f64 (+.f64 1 (/.f64 y x)) (+.f64 (/.f64 y x) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(fma.f64 2 (*.f64 (/.f64 y x) (+.f64 1 (/.f64 y x))) 1)
(-.f64 (+.f64 1 (+.f64 (/.f64 y x) (+.f64 (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2)) (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y (*.f64 -1 y))) (pow.f64 x 3))))) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 y x) (+.f64 (/.f64 y (/.f64 (pow.f64 x 2) (-.f64 y (neg.f64 y)))) (/.f64 (pow.f64 y 2) (/.f64 (pow.f64 x 3) (-.f64 y (neg.f64 y))))))) (/.f64 (neg.f64 y) x))
(+.f64 1 (+.f64 (*.f64 2 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (/.f64 y x) (/.f64 y x))))
(fma.f64 2 (+.f64 (*.f64 (/.f64 y x) (+.f64 1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)) 1)
1
(+.f64 1 (*.f64 2 (/.f64 y x)))
(-.f64 (+.f64 1 (/.f64 y x)) (/.f64 (neg.f64 y) x))
(+.f64 1 (+.f64 (/.f64 y x) (/.f64 y x)))
(fma.f64 2 (/.f64 y x) 1)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(-.f64 (+.f64 1 (+.f64 (/.f64 y x) (/.f64 y (/.f64 (pow.f64 x 2) (-.f64 y (neg.f64 y)))))) (/.f64 (neg.f64 y) x))
(+.f64 (+.f64 1 (/.f64 y x)) (+.f64 (/.f64 y x) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(fma.f64 2 (*.f64 (/.f64 y x) (+.f64 1 (/.f64 y x))) 1)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(-.f64 (+.f64 1 (+.f64 (/.f64 y x) (+.f64 (/.f64 y (/.f64 (pow.f64 x 2) (-.f64 y (neg.f64 y)))) (/.f64 (pow.f64 y 2) (/.f64 (pow.f64 x 3) (-.f64 y (neg.f64 y))))))) (/.f64 (neg.f64 y) x))
(+.f64 1 (+.f64 (*.f64 2 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (/.f64 y x) (/.f64 y x))))
(fma.f64 2 (+.f64 (*.f64 (/.f64 y x) (+.f64 1 (/.f64 y x))) (pow.f64 (/.f64 y x) 3)) 1)
-1
(-.f64 (*.f64 -1 (/.f64 x y)) (+.f64 1 (/.f64 x y)))
(fma.f64 -2 (/.f64 x y) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 x y)) (/.f64 (*.f64 x (-.f64 (*.f64 -1 x) x)) (pow.f64 y 2))) (+.f64 1 (/.f64 x y)))
(+.f64 (*.f64 -2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) -1)
(fma.f64 -2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2))) -1)
(fma.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 x y)) (+.f64 (/.f64 (*.f64 x (-.f64 (*.f64 -1 x) x)) (pow.f64 y 2)) (/.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 1 (/.f64 x y)))
(+.f64 (fma.f64 -2 (/.f64 x y) (*.f64 -2 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) -1)
(fma.f64 -2 (/.f64 x y) (fma.f64 -2 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1))
(fma.f64 -2 (+.f64 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)) (pow.f64 (/.f64 x y) 3)) -1)
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 x (*.f64 -1 x)) y)) 1)
(fma.f64 -2 (/.f64 x y) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 x (-.f64 x (*.f64 -1 x))) (pow.f64 y 2))) (*.f64 -1 (/.f64 (-.f64 x (*.f64 -1 x)) y))) 1)
(+.f64 (*.f64 -2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) -1)
(fma.f64 -2 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2))) -1)
(fma.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)) -1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 x (-.f64 x (*.f64 -1 x))) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 x (*.f64 -1 x))) (pow.f64 y 3))) (*.f64 -1 (/.f64 (-.f64 x (*.f64 -1 x)) y)))) 1)
(+.f64 (fma.f64 -2 (/.f64 x y) (*.f64 -2 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) -1)
(fma.f64 -2 (/.f64 x y) (fma.f64 -2 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) -1))
(fma.f64 -2 (+.f64 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)) (pow.f64 (/.f64 x y) 3)) -1)
(+.f64 0 (/.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1)
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (+.f64 x y) (/.f64 1 (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) (log.f64 (exp.f64 1)))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (neg.f64 (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 x y))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))))
(/.f64 (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))
(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))
(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))))
(/.f64 (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 x y))
(*.f64 (+.f64 x y) (/.f64 (+.f64 x y) (-.f64 (pow.f64 x 2) (pow.f64 y 2))))
(/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (pow.f64 x 2) (pow.f64 y 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 6) (-.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (+.f64 x y) (pow.f64 x 2)))
(/.f64 (+.f64 x y) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 y (+.f64 x y) (pow.f64 x 2))))
(/.f64 (*.f64 (+.f64 x y) (fma.f64 y (+.f64 x y) (pow.f64 x 2))) (-.f64 (pow.f64 x 3) (pow.f64 y 3)))
(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)
(/.f64 (+.f64 x y) (-.f64 x y))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3)
(/.f64 (+.f64 x y) (-.f64 x y))
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2) 1/2)
(/.f64 (+.f64 x y) (-.f64 x y))
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 1/3)
(/.f64 (+.f64 x y) (-.f64 x y))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)
(/.f64 (+.f64 x y) (-.f64 x y))
(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) -1)
(/.f64 (+.f64 x y) (-.f64 x y))
(pow.f64 (/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 1) -1)
(/.f64 (+.f64 x y) (-.f64 x y))
(neg.f64 (/.f64 (+.f64 x y) (neg.f64 (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2))
(/.f64 (+.f64 x y) (-.f64 x y))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 (+.f64 x y) (-.f64 x y))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
(/.f64 (+.f64 x y) (-.f64 x y))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (-.f64 x y) 3)))
(/.f64 (+.f64 x y) (-.f64 x y))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1))
(/.f64 (+.f64 x y) (-.f64 x y))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1) 1))
(/.f64 (+.f64 x y) (-.f64 x y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 3))
(/.f64 (+.f64 x y) (-.f64 x y))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1/3))
(/.f64 (+.f64 x y) (-.f64 x y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2))
(/.f64 (+.f64 x y) (-.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 x y))) -1))
(/.f64 (+.f64 x y) (-.f64 x y))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))

eval74.0ms (1.3%)

Compiler

Compiled 1392 to 604 computations (56.6% saved)

prune17.0ms (0.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New83891
Fresh000
Picked011
Done000
Total83992
Accuracy
100.0%
Counts
92 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) -1)
99.9%
(/.f64 (+.f64 x y) (-.f64 x y))
54.4%
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
46.7%
(+.f64 1 (*.f64 2 (/.f64 y x)))
99.7%
(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 x y))
99.9%
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
100.0%
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
45.5%
1
52.7%
-1
Compiler

Compiled 147 to 103 computations (29.9% saved)

localize145.0ms (2.6%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
100.0%
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
99.9%
(/.f64 (+.f64 x y) (-.f64 x y))
99.3%
(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
100.0%
(/.f64 1 (-.f64 x y))
99.7%
(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 x y))
100.0%
(*.f64 2 (/.f64 y x))
100.0%
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
99.9%
(/.f64 (+.f64 x y) (-.f64 x y))
99.9%
(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)
Compiler

Compiled 113 to 30 computations (73.5% saved)

series31.0ms (0.6%)

Counts
7 → 144
Calls

42 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
2.0ms
x
@-inf
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
2.0ms
y
@inf
(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)
2.0ms
x
@inf
(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)
1.0ms
x
@inf
(*.f64 2 (/.f64 y x))

rewrite232.0ms (4.2%)

Algorithm
batch-egg-rewrite
Rules
1664×prod-diff
862×log1p-expm1-u
414×expm1-udef
414×log1p-udef
380×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022203
1297203
23809203
Stop Event
node limit
Counts
7 → 299
Calls
Call 1
Inputs
(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
(*.f64 2 (/.f64 y x))
(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 x y))
(/.f64 1 (-.f64 x y))
(expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
Outputs
(+.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2) (/.f64 x (-.f64 x y))) (*.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2) (/.f64 y (-.f64 x y))))
(+.f64 (*.f64 (/.f64 x (-.f64 x y)) (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2)) (*.f64 (/.f64 y (-.f64 x y)) (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))) 1)
(*.f64 (+.f64 x y) (*.f64 (/.f64 1 (-.f64 x y)) (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2)))
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2))
(*.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 1)
(*.f64 1 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
(*.f64 (/.f64 1 (-.f64 x y)) (*.f64 (+.f64 x y) (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2)))
(*.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2) (/.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2)))
(*.f64 (pow.f64 (/.f64 1 (-.f64 x y)) 3) (pow.f64 (+.f64 x y) 3))
(*.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (/.f64 1 (-.f64 x y)) 3))
(*.f64 (pow.f64 (+.f64 x y) 3) (/.f64 1 (pow.f64 (-.f64 x y) 3)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2)))
(*.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3/2) (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2) 3) (/.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3) (pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3))
(*.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2) (+.f64 x y)) (/.f64 1 (-.f64 x y)))
(*.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2) 1) (/.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2) (/.f64 1 (-.f64 x y))) (+.f64 x y))
(*.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 1 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (+.f64 x y) 3)))
(/.f64 1 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
(/.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2) (/.f64 (-.f64 x y) (+.f64 x y)))
(/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (-.f64 x y) 3))
(/.f64 (pow.f64 (neg.f64 (+.f64 x y)) 3) (pow.f64 (neg.f64 (-.f64 x y)) 3))
(/.f64 (neg.f64 (pow.f64 (+.f64 x y) 3)) (neg.f64 (pow.f64 (-.f64 x y) 3)))
(/.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2) (+.f64 x y)) (-.f64 x y))
(/.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2) 1) (/.f64 (-.f64 x y) (+.f64 x y)))
(/.f64 (*.f64 (+.f64 x y) (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2)) (-.f64 x y))
(/.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2) (neg.f64 (+.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (*.f64 (neg.f64 (+.f64 x y)) (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2)) (neg.f64 (-.f64 x y)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)))
(exp.f64 (*.f64 3 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)))
(+.f64 (/.f64 x (-.f64 x y)) (/.f64 y (-.f64 x y)))
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(+.f64 (*.f64 (/.f64 x (-.f64 x y)) 1) (*.f64 (/.f64 y (-.f64 x y)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1)
(*.f64 (+.f64 x y) (/.f64 1 (-.f64 x y)))
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)
(*.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 x y))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 x y) -2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 x y))) (+.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (pow.f64 (-.f64 x y) -1/2) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))
(*.f64 (pow.f64 (-.f64 x y) -1/2) (*.f64 (pow.f64 (-.f64 x y) -1/2) (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y))))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (neg.f64 (-.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2) 1/3) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3/2) 1/3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 x y))
(*.f64 (*.f64 (+.f64 x y) (cbrt.f64 (pow.f64 (-.f64 x y) -2))) (/.f64 1 (cbrt.f64 (-.f64 x y))))
(*.f64 (*.f64 (+.f64 x y) (pow.f64 (-.f64 x y) -1/2)) (pow.f64 (-.f64 x y) -1/2))
(*.f64 (*.f64 (/.f64 1 (-.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 x y)))
(*.f64 (*.f64 (/.f64 1 (-.f64 x y)) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
(/.f64 1 (/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 1))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 x y) (+.f64 x y))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (/.f64 (-.f64 x y) (cbrt.f64 (+.f64 x y))))
(/.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (-.f64 x y) (sqrt.f64 (+.f64 x y))))
(/.f64 (neg.f64 (+.f64 x y)) (neg.f64 (-.f64 x y)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (pow.f64 (-.f64 x y) 2))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) 1) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (-.f64 x y)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) -1) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (neg.f64 (-.f64 x y))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) (pow.f64 (-.f64 x y) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) -1) (*.f64 (-.f64 x y) (neg.f64 (-.f64 x y))))
(/.f64 (*.f64 -1 (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (neg.f64 (-.f64 x y)) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 (neg.f64 (-.f64 x y)) (-.f64 x y)))
(/.f64 (neg.f64 (neg.f64 (+.f64 x y))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(/.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x y)) 3) (pow.f64 (/.f64 y (-.f64 x y)) 3)) (+.f64 (*.f64 (/.f64 x (-.f64 x y)) (/.f64 x (-.f64 x y))) (-.f64 (*.f64 (/.f64 y (-.f64 x y)) (/.f64 y (-.f64 x y))) (*.f64 (/.f64 x (-.f64 x y)) (/.f64 y (-.f64 x y))))))
(/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 x y)) (/.f64 x (-.f64 x y))) (*.f64 (/.f64 y (-.f64 x y)) (/.f64 y (-.f64 x y)))) (-.f64 (/.f64 x (-.f64 x y)) (/.f64 y (-.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) -1) (neg.f64 (-.f64 x y)))
(/.f64 (*.f64 (/.f64 1 (-.f64 x y)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (*.f64 (/.f64 1 (-.f64 x y)) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 1 (-.f64 x y))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (/.f64 (+.f64 x y) 1) (-.f64 x y))
(/.f64 (/.f64 (+.f64 x y) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 x y)))
(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)
(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) -1)
(neg.f64 (/.f64 (+.f64 x y) (neg.f64 (-.f64 x y))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1/3))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 x (/.f64 1 (-.f64 x y)) (/.f64 y (-.f64 x y)))
(fma.f64 (/.f64 1 (-.f64 x y)) x (/.f64 y (-.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 y x)))) 1)
(/.f64 2 (/.f64 x y))
(/.f64 1 (/.f64 x (*.f64 y 2)))
(/.f64 (*.f64 y 2) x)
(/.f64 (neg.f64 (*.f64 y 2)) (neg.f64 x))
(/.f64 (*.f64 2 (neg.f64 y)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 y) 2) (neg.f64 x))
(/.f64 (/.f64 (*.f64 y 2) 1) x)
(/.f64 (/.f64 (*.f64 y 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 y 2) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 2 (/.f64 y x)) 1)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 y x))) 3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 y x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 y x))) 2)
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 y x)) 2))
(log.f64 (pow.f64 (exp.f64 2) (/.f64 y x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 y x)) 3))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 y x))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 y x))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 y x))))
(+.f64 (/.f64 x (-.f64 x y)) (/.f64 y (-.f64 x y)))
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(+.f64 (*.f64 (/.f64 x (-.f64 x y)) 1) (*.f64 (/.f64 y (-.f64 x y)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1)
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
(/.f64 1 (/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 1))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 x y) (+.f64 x y))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (/.f64 (-.f64 x y) (cbrt.f64 (+.f64 x y))))
(/.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (-.f64 x y) (sqrt.f64 (+.f64 x y))))
(/.f64 (neg.f64 (+.f64 x y)) (neg.f64 (-.f64 x y)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (pow.f64 (-.f64 x y) 2))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) 1) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (-.f64 x y)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) -1) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (neg.f64 (-.f64 x y))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) (pow.f64 (-.f64 x y) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) -1) (*.f64 (-.f64 x y) (neg.f64 (-.f64 x y))))
(/.f64 (*.f64 -1 (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (neg.f64 (-.f64 x y)) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 (neg.f64 (-.f64 x y)) (-.f64 x y)))
(/.f64 (neg.f64 (neg.f64 (+.f64 x y))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(/.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x y)) 3) (pow.f64 (/.f64 y (-.f64 x y)) 3)) (+.f64 (*.f64 (/.f64 x (-.f64 x y)) (/.f64 x (-.f64 x y))) (-.f64 (*.f64 (/.f64 y (-.f64 x y)) (/.f64 y (-.f64 x y))) (*.f64 (/.f64 x (-.f64 x y)) (/.f64 y (-.f64 x y))))))
(/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 x y)) (/.f64 x (-.f64 x y))) (*.f64 (/.f64 y (-.f64 x y)) (/.f64 y (-.f64 x y)))) (-.f64 (/.f64 x (-.f64 x y)) (/.f64 y (-.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) -1) (neg.f64 (-.f64 x y)))
(/.f64 (*.f64 (/.f64 1 (-.f64 x y)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (*.f64 (/.f64 1 (-.f64 x y)) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 1 (-.f64 x y))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (/.f64 (+.f64 x y) 1) (-.f64 x y))
(/.f64 (/.f64 (+.f64 x y) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 x y)))
(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)
(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) -1)
(neg.f64 (/.f64 (+.f64 x y) (neg.f64 (-.f64 x y))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1/3))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(fma.f64 x (/.f64 1 (-.f64 x y)) (/.f64 y (-.f64 x y)))
(fma.f64 (/.f64 1 (-.f64 x y)) x (/.f64 y (-.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 x y)))) 1)
(*.f64 1 (/.f64 1 (-.f64 x y)))
(*.f64 (/.f64 1 (-.f64 x y)) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 x y))) (cbrt.f64 (pow.f64 (-.f64 x y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 x y) -2)) (/.f64 1 (cbrt.f64 (-.f64 x y))))
(*.f64 (pow.f64 (-.f64 x y) -1/2) (pow.f64 (-.f64 x y) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 x y)) -1))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x y)) -1) (pow.f64 (sqrt.f64 (-.f64 x y)) -1))
(*.f64 (/.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 x y))
(pow.f64 (-.f64 x y) -1)
(pow.f64 (/.f64 1 (-.f64 x y)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 x y))) 3)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 x y)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 x y) -1/2) 2)
(sqrt.f64 (pow.f64 (-.f64 x y) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 x y)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 x y))))
(exp.f64 (neg.f64 (log.f64 (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 x y)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 x y))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 x y))))
(+.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) -1)
(-.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1)
(*.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1)
(*.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2) (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(*.f64 (sqrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (sqrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3) 1) (+.f64 (*.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (+.f64 1 (*.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1))))
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1) (+.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1))
(pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 3)
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2))
(log.f64 (exp.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3))
(exp.f64 (log.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(+.f64 (/.f64 x (-.f64 x y)) (/.f64 y (-.f64 x y)))
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(+.f64 (*.f64 (/.f64 x (-.f64 x y)) 1) (*.f64 (/.f64 y (-.f64 x y)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1)
(*.f64 (+.f64 x y) (/.f64 1 (-.f64 x y)))
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)
(*.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 x y))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 x y) -2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 x y))) (+.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (pow.f64 (-.f64 x y) -1/2) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))
(*.f64 (pow.f64 (-.f64 x y) -1/2) (*.f64 (pow.f64 (-.f64 x y) -1/2) (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y))))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (neg.f64 (-.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2) 1/3) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3/2) 1/3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 x y))
(*.f64 (*.f64 (+.f64 x y) (cbrt.f64 (pow.f64 (-.f64 x y) -2))) (/.f64 1 (cbrt.f64 (-.f64 x y))))
(*.f64 (*.f64 (+.f64 x y) (pow.f64 (-.f64 x y) -1/2)) (pow.f64 (-.f64 x y) -1/2))
(*.f64 (*.f64 (/.f64 1 (-.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 x y)))
(*.f64 (*.f64 (/.f64 1 (-.f64 x y)) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
(/.f64 1 (/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 1))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 x y) (+.f64 x y))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (/.f64 (-.f64 x y) (cbrt.f64 (+.f64 x y))))
(/.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (-.f64 x y) (sqrt.f64 (+.f64 x y))))
(/.f64 (neg.f64 (+.f64 x y)) (neg.f64 (-.f64 x y)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (pow.f64 (-.f64 x y) 2))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) 1) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (-.f64 x y)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) -1) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (neg.f64 (-.f64 x y))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) (pow.f64 (-.f64 x y) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) -1) (*.f64 (-.f64 x y) (neg.f64 (-.f64 x y))))
(/.f64 (*.f64 -1 (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (neg.f64 (-.f64 x y)) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 (neg.f64 (-.f64 x y)) (-.f64 x y)))
(/.f64 (neg.f64 (neg.f64 (+.f64 x y))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(/.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x y)) 3) (pow.f64 (/.f64 y (-.f64 x y)) 3)) (+.f64 (*.f64 (/.f64 x (-.f64 x y)) (/.f64 x (-.f64 x y))) (-.f64 (*.f64 (/.f64 y (-.f64 x y)) (/.f64 y (-.f64 x y))) (*.f64 (/.f64 x (-.f64 x y)) (/.f64 y (-.f64 x y))))))
(/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 x y)) (/.f64 x (-.f64 x y))) (*.f64 (/.f64 y (-.f64 x y)) (/.f64 y (-.f64 x y)))) (-.f64 (/.f64 x (-.f64 x y)) (/.f64 y (-.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) -1) (neg.f64 (-.f64 x y)))
(/.f64 (*.f64 (/.f64 1 (-.f64 x y)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (*.f64 (/.f64 1 (-.f64 x y)) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 1 (-.f64 x y))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (/.f64 (+.f64 x y) 1) (-.f64 x y))
(/.f64 (/.f64 (+.f64 x y) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 x y)))
(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)
(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) -1)
(neg.f64 (/.f64 (+.f64 x y) (neg.f64 (-.f64 x y))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1/3))
(fma.f64 x (/.f64 1 (-.f64 x y)) (/.f64 y (-.f64 x y)))
(fma.f64 (/.f64 1 (-.f64 x y)) x (/.f64 y (-.f64 x y)))

simplify388.0ms (7.1%)

Algorithm
egg-herbie
Rules
1084×fma-def
894×associate-*r*
842×times-frac
742×associate-*l*
648×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079024697
1241522066
Stop Event
node limit
Counts
443 → 390
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -6 (/.f64 x y)) 1)
(-.f64 (+.f64 (*.f64 -18 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -6 (/.f64 x y))) 1)
(-.f64 (+.f64 (*.f64 -38 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -18 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -6 (/.f64 x y)))) 1)
1
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 y x)) (/.f64 y x))) (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 -1 (/.f64 y x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2))) (+.f64 (/.f64 y x) (+.f64 (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (-.f64 y (*.f64 -1 y)) (-.f64 (*.f64 2 y) (*.f64 -2 y))) (pow.f64 x 2)) (/.f64 (pow.f64 (-.f64 y (*.f64 -1 y)) 2) (pow.f64 x 2)))))))) (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 -1 (/.f64 y x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 y (pow.f64 (-.f64 y (*.f64 -1 y)) 2)) (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (/.f64 y x) (+.f64 (/.f64 (*.f64 y (*.f64 (-.f64 y (*.f64 -1 y)) (-.f64 (*.f64 2 y) (*.f64 -2 y)))) (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 y (-.f64 y (*.f64 -1 y)))) (pow.f64 (-.f64 y (*.f64 -1 y)) 2)) (-.f64 y (*.f64 -1 y))) (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 (-.f64 y (*.f64 -1 y)) (-.f64 (*.f64 2 y) (*.f64 -2 y))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y (*.f64 -1 y))) (pow.f64 x 3)) (/.f64 (pow.f64 (-.f64 y (*.f64 -1 y)) 2) (pow.f64 x 2))))))))))))) (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 -1 (/.f64 y x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (-.f64 y (*.f64 -1 y))) (*.f64 -1 (-.f64 y (*.f64 -1 y)))) x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (-.f64 y (*.f64 -1 y))) (*.f64 -1 (-.f64 y (*.f64 -1 y)))) x)) (+.f64 (*.f64 2 (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (-.f64 y (*.f64 -1 y)) 2) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2)) (/.f64 (pow.f64 (-.f64 y (*.f64 -1 y)) 2) (pow.f64 x 2)))))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (*.f64 y (pow.f64 (-.f64 y (*.f64 -1 y)) 2))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 y 2) (-.f64 y (*.f64 -1 y)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (*.f64 y (-.f64 y (*.f64 -1 y)))) (pow.f64 (-.f64 y (*.f64 -1 y)) 2)) (-.f64 y (*.f64 -1 y)))) (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 y (*.f64 -1 y))))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (-.f64 y (*.f64 -1 y))) (*.f64 -1 (-.f64 y (*.f64 -1 y)))) x)) (+.f64 (*.f64 2 (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (-.f64 y (*.f64 -1 y)) 2) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2)) (/.f64 (pow.f64 (-.f64 y (*.f64 -1 y)) 2) (pow.f64 x 2))))))))
1
(+.f64 1 (*.f64 6 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 6 (/.f64 y x)) (*.f64 18 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 6 (/.f64 y x)) (+.f64 (*.f64 18 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 38 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
-1
(-.f64 (+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 2 (/.f64 (-.f64 (*.f64 -1 x) x) y))) (+.f64 1 (/.f64 x y)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (-.f64 (*.f64 -1 x) x) 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 x y)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 x (-.f64 (*.f64 -1 x) x))) (pow.f64 (-.f64 (*.f64 -1 x) x) 2)) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 x (-.f64 (*.f64 -1 x) x)) (pow.f64 y 2)))))) (+.f64 1 (/.f64 x y)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 x (pow.f64 (-.f64 (*.f64 -1 x) x) 2)) (pow.f64 y 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (-.f64 (*.f64 -1 x) x) 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 x y)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 x (-.f64 (*.f64 -1 x) x))) (pow.f64 (-.f64 (*.f64 -1 x) x) 2)) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1 x) x))) (*.f64 2 (*.f64 x (pow.f64 (-.f64 (*.f64 -1 x) x) 2)))) (pow.f64 y 3))) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (+.f64 (/.f64 (*.f64 x (-.f64 (*.f64 -1 x) x)) (pow.f64 y 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 x (-.f64 (*.f64 -1 x) x))) (pow.f64 (-.f64 (*.f64 -1 x) x) 2)) (-.f64 (*.f64 -1 x) x)) (pow.f64 y 3)) (/.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))))))))) (+.f64 1 (/.f64 x y)))
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(*.f64 (pow.f64 (sqrt.f64 (-.f64 x y)) -1) (pow.f64 (sqrt.f64 (-.f64 x y)) -1))
(*.f64 (/.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 x y))
(pow.f64 (-.f64 x y) -1)
(pow.f64 (/.f64 1 (-.f64 x y)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 x y))) 3)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 x y)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 x y) -1/2) 2)
(sqrt.f64 (pow.f64 (-.f64 x y) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 x y)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 x y))))
(exp.f64 (neg.f64 (log.f64 (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 x y)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 x y))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 x y))))
(+.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) -1)
(-.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1)
(*.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1)
(*.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2) (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(*.f64 (sqrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (sqrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3) 1) (+.f64 (*.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) (+.f64 1 (*.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1))))
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1) (+.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1))
(pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 3)
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2))
(log.f64 (exp.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3))
(exp.f64 (log.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))
(+.f64 (/.f64 x (-.f64 x y)) (/.f64 y (-.f64 x y)))
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(+.f64 (*.f64 (/.f64 x (-.f64 x y)) 1) (*.f64 (/.f64 y (-.f64 x y)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1)
(*.f64 (+.f64 x y) (/.f64 1 (-.f64 x y)))
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)
(*.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 x y))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 x y) -2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 x y))) (+.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (pow.f64 (-.f64 x y) -1/2) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))
(*.f64 (pow.f64 (-.f64 x y) -1/2) (*.f64 (pow.f64 (-.f64 x y) -1/2) (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (-.f64 x y))))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (neg.f64 (-.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2) 1/3) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3/2) 1/3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 x y))
(*.f64 (*.f64 (+.f64 x y) (cbrt.f64 (pow.f64 (-.f64 x y) -2))) (/.f64 1 (cbrt.f64 (-.f64 x y))))
(*.f64 (*.f64 (+.f64 x y) (pow.f64 (-.f64 x y) -1/2)) (pow.f64 (-.f64 x y) -1/2))
(*.f64 (*.f64 (/.f64 1 (-.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 x y)))
(*.f64 (*.f64 (/.f64 1 (-.f64 x y)) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
(/.f64 1 (/.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 1))
(/.f64 -1 (neg.f64 (/.f64 (-.f64 x y) (+.f64 x y))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (/.f64 (-.f64 x y) (cbrt.f64 (+.f64 x y))))
(/.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (-.f64 x y) (sqrt.f64 (+.f64 x y))))
(/.f64 (neg.f64 (+.f64 x y)) (neg.f64 (-.f64 x y)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (pow.f64 (-.f64 x y) 2))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) 1) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (-.f64 x y)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) -1) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (neg.f64 (-.f64 x y))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) (pow.f64 (-.f64 x y) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) -1) (*.f64 (-.f64 x y) (neg.f64 (-.f64 x y))))
(/.f64 (*.f64 -1 (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (neg.f64 (-.f64 x y)) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 (neg.f64 (-.f64 x y)) (-.f64 x y)))
(/.f64 (neg.f64 (neg.f64 (+.f64 x y))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(/.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x y)) 3) (pow.f64 (/.f64 y (-.f64 x y)) 3)) (+.f64 (*.f64 (/.f64 x (-.f64 x y)) (/.f64 x (-.f64 x y))) (-.f64 (*.f64 (/.f64 y (-.f64 x y)) (/.f64 y (-.f64 x y))) (*.f64 (/.f64 x (-.f64 x y)) (/.f64 y (-.f64 x y))))))
(/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 x y)) (/.f64 x (-.f64 x y))) (*.f64 (/.f64 y (-.f64 x y)) (/.f64 y (-.f64 x y)))) (-.f64 (/.f64 x (-.f64 x y)) (/.f64 y (-.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) -1) (neg.f64 (-.f64 x y)))
(/.f64 (*.f64 (/.f64 1 (-.f64 x y)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (*.f64 (/.f64 1 (-.f64 x y)) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 1 (-.f64 x y))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (/.f64 (+.f64 x y) 1) (-.f64 x y))
(/.f64 (/.f64 (+.f64 x y) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 x y)))
(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 2)
(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) -1)
(neg.f64 (/.f64 (+.f64 x y) (neg.f64 (-.f64 x y))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (+.f64 x y) (-.f64 x y)))) 1/3))
(fma.f64 x (/.f64 1 (-.f64 x y)) (/.f64 y (-.f64 x y)))
(fma.f64 (/.f64 1 (-.f64 x y)) x (/.f64 y (-.f64 x y)))
Outputs
-1
(-.f64 (*.f64 -6 (/.f64 x y)) 1)
(fma.f64 -6 (/.f64 x y) -1)
(-.f64 (+.f64 (*.f64 -18 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -6 (/.f64 x y))) 1)
(+.f64 (*.f64 -18 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (fma.f64 -6 (/.f64 x y) -1))
(fma.f64 -18 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (fma.f64 -6 (/.f64 x y) -1))
(-.f64 (+.f64 (*.f64 -38 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -18 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -6 (/.f64 x y)))) 1)
(+.f64 (fma.f64 -38 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -18 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -6 (/.f64 x y)))) -1)
(fma.f64 -38 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -18 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (fma.f64 -6 (/.f64 x y) -1)))
1
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 y x)) (/.f64 y x))) (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (-.f64 (*.f64 3 (/.f64 y x)) (*.f64 (/.f64 y x) -3)))
(+.f64 (fma.f64 3 (/.f64 y x) 1) (*.f64 3 (/.f64 y x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2))) (+.f64 (/.f64 y x) (+.f64 (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (-.f64 y (*.f64 -1 y)) (-.f64 (*.f64 2 y) (*.f64 -2 y))) (pow.f64 x 2)) (/.f64 (pow.f64 (-.f64 y (*.f64 -1 y)) 2) (pow.f64 x 2)))))))) (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (-.f64 (fma.f64 2 (/.f64 y x) (fma.f64 2 (/.f64 y (/.f64 (pow.f64 x 2) (-.f64 y (neg.f64 y)))) (+.f64 (/.f64 y x) (+.f64 (/.f64 y (/.f64 (pow.f64 x 2) (-.f64 y (neg.f64 y)))) (+.f64 (/.f64 (-.f64 y (neg.f64 y)) (/.f64 (pow.f64 x 2) (*.f64 y 4))) (/.f64 (pow.f64 (-.f64 y (neg.f64 y)) 2) (pow.f64 x 2))))))) (*.f64 (/.f64 y x) -3)))
(+.f64 (+.f64 (fma.f64 2 (/.f64 y x) (pow.f64 (/.f64 y (/.f64 x 2)) 2)) (+.f64 (/.f64 y x) (+.f64 (pow.f64 (/.f64 y (/.f64 x 2)) 2) (fma.f64 2 (pow.f64 (/.f64 y (/.f64 x 2)) 2) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))) (fma.f64 3 (/.f64 y x) 1))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 y (pow.f64 (-.f64 y (*.f64 -1 y)) 2)) (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (/.f64 y x) (+.f64 (/.f64 (*.f64 y (*.f64 (-.f64 y (*.f64 -1 y)) (-.f64 (*.f64 2 y) (*.f64 -2 y)))) (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 y (-.f64 y (*.f64 -1 y)))) (pow.f64 (-.f64 y (*.f64 -1 y)) 2)) (-.f64 y (*.f64 -1 y))) (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 (-.f64 y (*.f64 -1 y)) (-.f64 (*.f64 2 y) (*.f64 -2 y))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y (*.f64 -1 y))) (pow.f64 x 3)) (/.f64 (pow.f64 (-.f64 y (*.f64 -1 y)) 2) (pow.f64 x 2))))))))))))) (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 -1 (/.f64 y x))))
(+.f64 1 (-.f64 (fma.f64 2 (/.f64 y x) (fma.f64 2 (/.f64 y (/.f64 (pow.f64 x 2) (-.f64 y (neg.f64 y)))) (fma.f64 2 (/.f64 y (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 y (neg.f64 y)) 2))) (fma.f64 2 (/.f64 (pow.f64 y 2) (/.f64 (pow.f64 x 3) (-.f64 y (neg.f64 y)))) (+.f64 (/.f64 y x) (+.f64 (/.f64 y (/.f64 (pow.f64 x 3) (*.f64 (-.f64 y (neg.f64 y)) (*.f64 y 4)))) (+.f64 (/.f64 y (/.f64 (pow.f64 x 2) (-.f64 y (neg.f64 y)))) (+.f64 (/.f64 (fma.f64 2 (*.f64 y (-.f64 y (neg.f64 y))) (pow.f64 (-.f64 y (neg.f64 y)) 2)) (/.f64 (pow.f64 x 3) (-.f64 y (neg.f64 y)))) (+.f64 (/.f64 (-.f64 y (neg.f64 y)) (/.f64 (pow.f64 x 2) (*.f64 y 4))) (+.f64 (/.f64 (pow.f64 (-.f64 y (neg.f64 y)) 2) (pow.f64 x 2)) (/.f64 (pow.f64 y 2) (/.f64 (pow.f64 x 3) (-.f64 y (neg.f64 y)))))))))))))) (*.f64 (/.f64 y x) -3)))
(+.f64 (+.f64 (fma.f64 2 (/.f64 y x) (pow.f64 (/.f64 y (/.f64 x 2)) 2)) (+.f64 (pow.f64 (/.f64 y (/.f64 x 2)) 3) (+.f64 (fma.f64 2 (*.f64 2 (pow.f64 (/.f64 y x) 3)) (/.f64 y x)) (+.f64 (+.f64 (*.f64 2 (pow.f64 (/.f64 y (/.f64 x 2)) 2)) (+.f64 (+.f64 (pow.f64 (/.f64 y (/.f64 x 2)) 2) (*.f64 2 (pow.f64 (/.f64 y x) 3))) (/.f64 (*.f64 (*.f64 2 (pow.f64 y 2)) 4) (/.f64 (pow.f64 x 3) (*.f64 y 2))))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (pow.f64 (/.f64 y (/.f64 x 2)) 3)))))) (fma.f64 3 (/.f64 y x) 1))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (-.f64 y (*.f64 -1 y))) (*.f64 -1 (-.f64 y (*.f64 -1 y)))) x)))
(+.f64 1 (neg.f64 (/.f64 (*.f64 (-.f64 y (neg.f64 y)) -3) x)))
(-.f64 1 (/.f64 (*.f64 (*.f64 y 2) -3) x))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (-.f64 y (*.f64 -1 y))) (*.f64 -1 (-.f64 y (*.f64 -1 y)))) x)) (+.f64 (*.f64 2 (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (-.f64 y (*.f64 -1 y)) 2) (pow.f64 x 2))) (+.f64 (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2)) (/.f64 (pow.f64 (-.f64 y (*.f64 -1 y)) 2) (pow.f64 x 2)))))))
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(/.f64 (+.f64 x y) (-.f64 x y))
(fma.f64 x (/.f64 1 (-.f64 x y)) (/.f64 y (-.f64 x y)))
(fma.f64 (/.f64 1 (-.f64 x y)) x (/.f64 y (-.f64 x y)))

eval394.0ms (7.2%)

Compiler

Compiled 15736 to 8286 computations (47.3% saved)

prune122.0ms (2.2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New7522754
Fresh123
Picked235
Done011
Total7558763
Accuracy
100.0%
Counts
763 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (+.f64 x y) (-.f64 x y))
99.9%
(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
54.4%
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
100.0%
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
46.7%
(+.f64 1 (*.f64 2 (/.f64 y x)))
100.0%
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
45.5%
1
52.7%
-1
Compiler

Compiled 69 to 46 computations (33.3% saved)

localize71.0ms (1.3%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
100.0%
(/.f64 (-.f64 x y) (+.f64 x y))
100.0%
(*.f64 -2 (/.f64 x y))
100.0%
(/.f64 y (-.f64 x y))
100.0%
(/.f64 x (-.f64 x y))
99.9%
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
Compiler

Compiled 74 to 22 computations (70.3% saved)

series14.0ms (0.3%)

Counts
6 → 120
Calls

36 calls:

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

rewrite206.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
1151×log1p-expm1-u
488×expm1-udef
488×log1p-udef
340×expm1-log1p-u
196×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018192
1291156
24863156
Stop Event
node limit
Counts
6 → 283
Calls
Call 1
Inputs
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(/.f64 x (-.f64 x y))
(/.f64 y (-.f64 x y))
(*.f64 -2 (/.f64 x y))
(/.f64 (-.f64 x y) (+.f64 x y))
(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 y x) (-.f64 x y)))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 x y)) 2) (/.f64 (-.f64 y x) (-.f64 x y))) (/.f64 (pow.f64 (/.f64 x (-.f64 x y)) 2) (/.f64 (-.f64 y x) (-.f64 x y))))
(*.f64 (+.f64 y x) (/.f64 1 (-.f64 x y)))
(*.f64 1 (/.f64 (+.f64 y x) (-.f64 x y)))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (-.f64 x y)) (+.f64 y x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) -2)) (cbrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))) (sqrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(*.f64 (fma.f64 y (-.f64 x y) (*.f64 x (-.f64 x y))) (/.f64 1 (pow.f64 (-.f64 x y) 2)))
(*.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 x y)) 3) (pow.f64 (/.f64 x (-.f64 x y)) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 x y)) 2) (pow.f64 (/.f64 x (-.f64 x y)) 2)) (/.f64 (*.f64 y x) (pow.f64 (-.f64 x y) 2)))))
(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 y x))
(*.f64 (/.f64 1 (-.f64 x y)) (pow.f64 (/.f64 1 (+.f64 y x)) -1))
(*.f64 (/.f64 (+.f64 y x) (-.f64 x y)) 1)
(*.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 x y)) 2) (pow.f64 (/.f64 x (-.f64 x y)) 2)) (/.f64 1 (/.f64 (-.f64 y x) (-.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) -1) (pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (+.f64 y x) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 (+.f64 y x) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 y x)) (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) 1) (/.f64 (sqrt.f64 (+.f64 y x)) (-.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 (+.f64 y x)) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (-.f64 x y))) (/.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (neg.f64 (-.f64 x y))) (neg.f64 (+.f64 y x)))
(*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 y x))
(*.f64 (*.f64 (/.f64 1 (-.f64 x y)) 1) (+.f64 y x))
(*.f64 (*.f64 (/.f64 1 (-.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (cbrt.f64 (+.f64 y x)))
(*.f64 (*.f64 (/.f64 1 (-.f64 x y)) (sqrt.f64 (+.f64 y x))) (sqrt.f64 (+.f64 y x)))
(*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 y x))))
(/.f64 (+.f64 y x) (-.f64 x y))
(/.f64 1 (/.f64 (-.f64 x y) (+.f64 y x)))
(/.f64 1 (neg.f64 (/.f64 (neg.f64 (-.f64 x y)) (+.f64 y x))))
(/.f64 1 (/.f64 (pow.f64 (-.f64 x y) 2) (fma.f64 y (-.f64 x y) (*.f64 x (-.f64 x y)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 x y)) 2) (pow.f64 (/.f64 x (-.f64 x y)) 2)) (/.f64 (*.f64 y x) (pow.f64 (-.f64 x y) 2))) (+.f64 (pow.f64 (/.f64 y (-.f64 x y)) 3) (pow.f64 (/.f64 x (-.f64 x y)) 3))))
(/.f64 1 (/.f64 (/.f64 (-.f64 y x) (-.f64 x y)) (-.f64 (pow.f64 (/.f64 y (-.f64 x y)) 2) (pow.f64 (/.f64 x (-.f64 x y)) 2))))
(/.f64 -1 (/.f64 (neg.f64 (-.f64 x y)) (+.f64 y x)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (/.f64 (-.f64 x y) (cbrt.f64 (+.f64 y x))))
(/.f64 (sqrt.f64 (+.f64 y x)) (/.f64 (-.f64 x y) (sqrt.f64 (+.f64 y x))))
(/.f64 (sqrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))) (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))))
(/.f64 (fma.f64 y (-.f64 x y) (*.f64 x (-.f64 x y))) (pow.f64 (-.f64 x y) 2))
(/.f64 (neg.f64 (+.f64 y x)) (neg.f64 (-.f64 x y)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 x y)) 3) (pow.f64 (/.f64 x (-.f64 x y)) 3)) (-.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 x y)) 2) (pow.f64 (/.f64 x (-.f64 x y)) 2)) (/.f64 (*.f64 y x) (pow.f64 (-.f64 x y) 2))))
(/.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 x y)) 3) (pow.f64 (/.f64 x (-.f64 x y)) 3)) (+.f64 (pow.f64 (/.f64 x (-.f64 x y)) 2) (-.f64 (pow.f64 (/.f64 y (-.f64 x y)) 2) (/.f64 (*.f64 y x) (pow.f64 (-.f64 x y) 2)))))
(/.f64 (/.f64 1 (-.f64 x y)) (/.f64 1 (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (pow.f64 (-.f64 x y) 2))
(/.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 x y)) 2) (pow.f64 (/.f64 x (-.f64 x y)) 2)) (/.f64 (-.f64 y x) (-.f64 x y)))
(/.f64 (+.f64 (*.f64 y (/.f64 (-.f64 x y) x)) (-.f64 x y)) (*.f64 (-.f64 x y) (/.f64 (-.f64 x y) x)))
(/.f64 (+.f64 (*.f64 y (neg.f64 (-.f64 x y))) (*.f64 (-.f64 x y) (neg.f64 x))) (*.f64 (-.f64 x y) (neg.f64 (-.f64 x y))))
(/.f64 (+.f64 (-.f64 x y) (*.f64 (/.f64 (-.f64 x y) y) x)) (*.f64 (/.f64 (-.f64 x y) y) (-.f64 x y)))
(/.f64 (+.f64 (/.f64 (-.f64 x y) x) (*.f64 (/.f64 (-.f64 x y) y) 1)) (*.f64 (/.f64 (-.f64 x y) y) (/.f64 (-.f64 x y) x)))
(/.f64 (+.f64 (neg.f64 (-.f64 x y)) (*.f64 (/.f64 (-.f64 x y) y) (neg.f64 x))) (*.f64 (/.f64 (-.f64 x y) y) (neg.f64 (-.f64 x y))))
(/.f64 (+.f64 (*.f64 (neg.f64 y) (-.f64 x y)) (*.f64 (neg.f64 (-.f64 x y)) x)) (*.f64 (neg.f64 (-.f64 x y)) (-.f64 x y)))
(/.f64 (+.f64 (*.f64 (neg.f64 y) (/.f64 (-.f64 x y) x)) (*.f64 (neg.f64 (-.f64 x y)) 1)) (*.f64 (neg.f64 (-.f64 x y)) (/.f64 (-.f64 x y) x)))
(/.f64 (+.f64 (*.f64 (neg.f64 y) (neg.f64 (-.f64 x y))) (*.f64 (neg.f64 (-.f64 x y)) (neg.f64 x))) (*.f64 (neg.f64 (-.f64 x y)) (neg.f64 (-.f64 x y))))
(/.f64 (+.f64 (*.f64 x (/.f64 (-.f64 x y) y)) (-.f64 x y)) (*.f64 (-.f64 x y) (/.f64 (-.f64 x y) y)))
(/.f64 (+.f64 (*.f64 x (neg.f64 (-.f64 x y))) (*.f64 (-.f64 x y) (neg.f64 y))) (*.f64 (-.f64 x y) (neg.f64 (-.f64 x y))))
(/.f64 (+.f64 (-.f64 x y) (*.f64 (/.f64 (-.f64 x y) x) y)) (*.f64 (/.f64 (-.f64 x y) x) (-.f64 x y)))
(/.f64 (+.f64 (/.f64 (-.f64 x y) y) (*.f64 (/.f64 (-.f64 x y) x) 1)) (*.f64 (/.f64 (-.f64 x y) x) (/.f64 (-.f64 x y) y)))
(/.f64 (+.f64 (neg.f64 (-.f64 x y)) (*.f64 (/.f64 (-.f64 x y) x) (neg.f64 y))) (*.f64 (/.f64 (-.f64 x y) x) (neg.f64 (-.f64 x y))))
(/.f64 (+.f64 (*.f64 (neg.f64 x) (-.f64 x y)) (*.f64 (neg.f64 (-.f64 x y)) y)) (*.f64 (neg.f64 (-.f64 x y)) (-.f64 x y)))
(/.f64 (+.f64 (*.f64 (neg.f64 x) (/.f64 (-.f64 x y) y)) (*.f64 (neg.f64 (-.f64 x y)) 1)) (*.f64 (neg.f64 (-.f64 x y)) (/.f64 (-.f64 x y) y)))
(/.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 (-.f64 x y))) (*.f64 (neg.f64 (-.f64 x y)) (neg.f64 y))) (*.f64 (neg.f64 (-.f64 x y)) (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (fma.f64 y (-.f64 x y) (*.f64 x (-.f64 x y)))) (neg.f64 (pow.f64 (-.f64 x y) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 x y)) 3) (pow.f64 (/.f64 x (-.f64 x y)) 3))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 x y)) 2) (pow.f64 (/.f64 x (-.f64 x y)) 2)) (/.f64 (*.f64 y x) (pow.f64 (-.f64 x y) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 x y)) 2) (pow.f64 (/.f64 x (-.f64 x y)) 2))) (neg.f64 (/.f64 (-.f64 y x) (-.f64 x y))))
(/.f64 (/.f64 (+.f64 y x) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(/.f64 (/.f64 (+.f64 y x) 1) (-.f64 x y))
(/.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x y)) 2) (pow.f64 (/.f64 y (-.f64 x y)) 2)) (-.f64 (/.f64 x (-.f64 x y)) (/.f64 y (-.f64 x y))))
(/.f64 (*.f64 (/.f64 1 (-.f64 x y)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (*.f64 (/.f64 1 (-.f64 x y)) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (-.f64 x y))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) 2)) (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))))
(/.f64 (/.f64 (+.f64 y x) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 x y)))
(/.f64 (/.f64 (fma.f64 y (-.f64 x y) (*.f64 x (-.f64 x y))) (-.f64 x y)) (-.f64 x y))
(pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) -1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))) 2)
(pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) 1)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) -2))
(log.f64 (exp.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 y x) (-.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (-.f64 x y) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(exp.f64 (log.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 y x))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) (-.f64 x y))) 1))
(exp.f64 (-.f64 (log.f64 (+.f64 y x)) (log.f64 (-.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(fma.f64 y (/.f64 1 (-.f64 x y)) (/.f64 x (-.f64 x y)))
(fma.f64 x (/.f64 1 (-.f64 x y)) (/.f64 y (-.f64 x y)))
(fma.f64 1 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(fma.f64 1 (/.f64 x (-.f64 x y)) (/.f64 y (-.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 x y))) 2) (cbrt.f64 (/.f64 y (-.f64 x y))) (/.f64 x (-.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x y))) 2) (cbrt.f64 (/.f64 x (-.f64 x y))) (/.f64 y (-.f64 x y)))
(fma.f64 (sqrt.f64 (/.f64 y (-.f64 x y))) (sqrt.f64 (/.f64 y (-.f64 x y))) (/.f64 x (-.f64 x y)))
(fma.f64 (sqrt.f64 (/.f64 x (-.f64 x y))) (sqrt.f64 (/.f64 x (-.f64 x y))) (/.f64 y (-.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 x y)))) 1)
(*.f64 x (/.f64 1 (-.f64 x y)))
(*.f64 (/.f64 x (-.f64 x y)) 1)
(*.f64 1 (/.f64 x (-.f64 x y)))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x y))) 2) (cbrt.f64 (/.f64 x (-.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 x (-.f64 x y))) (sqrt.f64 (/.f64 x (-.f64 x y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 x y))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (-.f64 x y)) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 x (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 x (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (/.f64 x (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 x (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 y x))
(*.f64 (/.f64 x (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 y x))))
(pow.f64 (/.f64 x (-.f64 x y)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 x y))) 3)
(pow.f64 (pow.f64 (/.f64 x (-.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 x y))) 2)
(pow.f64 (/.f64 (-.f64 x y) x) -1)
(neg.f64 (/.f64 x (neg.f64 (-.f64 x y))))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 x y)) 2))
(log.f64 (exp.f64 (/.f64 x (-.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 x y)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 x y))))
(exp.f64 (log.f64 (/.f64 x (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 x y))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (-.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 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 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 x x (*.f64 y (+.f64 y x))))
(*.f64 (/.f64 y (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 y x))
(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))))
(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))
(expm1.f64 (log1p.f64 (/.f64 y (-.f64 x y))))
(exp.f64 (log.f64 (/.f64 y (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 x y))) 1))
(log1p.f64 (expm1.f64 (/.f64 y (-.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2 (/.f64 x y)))) 1)
(/.f64 -2 (/.f64 y x))
(/.f64 1 (/.f64 y (*.f64 x -2)))
(/.f64 (*.f64 x -2) y)
(/.f64 (neg.f64 (*.f64 x -2)) (neg.f64 y))
(/.f64 (*.f64 -2 (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) -2) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x -2) 1) y)
(/.f64 (/.f64 (*.f64 x -2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x -2) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 -2 (/.f64 x y)) 1)
(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 -2 (/.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 x y))) 2)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 4))
(log.f64 (pow.f64 (exp.f64 -2) (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (/.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 -2 (/.f64 x y)) 3))
(expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 -2 (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 -2 (/.f64 x y))) 1))
(log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 x y))))
(+.f64 (/.f64 x (+.f64 y x)) (neg.f64 (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y x)))) 1)
(-.f64 (/.f64 (/.f64 x (+.f64 y x)) 1) (/.f64 (/.f64 y (+.f64 y x)) 1))
(*.f64 (-.f64 x y) (/.f64 1 (+.f64 y x)))
(*.f64 (/.f64 (-.f64 x y) (+.f64 y x)) 1)
(*.f64 1 (/.f64 (-.f64 x y) (+.f64 y x)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) 2) (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 (+.f64 y x))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))))
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 (+.f64 y x))))
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 (+.f64 y x))))
(*.f64 (/.f64 1 (+.f64 y x)) (-.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) (+.f64 y x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 y x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (/.f64 (-.f64 x y) (cbrt.f64 (+.f64 y x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 y x))) (/.f64 (-.f64 x y) (sqrt.f64 (+.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 (+.f64 y x))) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 (+.f64 y x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (+.f64 y x))))
(*.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (-.f64 x y))
(*.f64 (/.f64 (-.f64 x y) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) 2)
(pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) -1)
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 (+.f64 y x))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 y x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 y x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (+.f64 y x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y x))))
(exp.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 y x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 y x))))
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(+.f64 (/.f64 x (-.f64 x y)) (/.f64 y (-.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 y x) (-.f64 x y)))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 x y)) 2) (/.f64 (-.f64 y x) (-.f64 x y))) (/.f64 (pow.f64 (/.f64 x (-.f64 x y)) 2) (/.f64 (-.f64 y x) (-.f64 x y))))
(*.f64 (+.f64 y x) (/.f64 1 (-.f64 x y)))
(*.f64 1 (/.f64 (+.f64 y x) (-.f64 x y)))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (-.f64 x y)) (+.f64 y x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) -2)) (cbrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))) (sqrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(*.f64 (fma.f64 y (-.f64 x y) (*.f64 x (-.f64 x y))) (/.f64 1 (pow.f64 (-.f64 x y) 2)))
(*.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 x y)) 3) (pow.f64 (/.f64 x (-.f64 x y)) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 x y)) 2) (pow.f64 (/.f64 x (-.f64 x y)) 2)) (/.f64 (*.f64 y x) (pow.f64 (-.f64 x y) 2)))))
(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 y x))
(*.f64 (/.f64 1 (-.f64 x y)) (pow.f64 (/.f64 1 (+.f64 y x)) -1))
(*.f64 (/.f64 (+.f64 y x) (-.f64 x y)) 1)
(*.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 x y)) 2) (pow.f64 (/.f64 x (-.f64 x y)) 2)) (/.f64 1 (/.f64 (-.f64 y x) (-.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) -1) (pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (+.f64 y x) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 (+.f64 y x) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 y x)) (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) 1) (/.f64 (sqrt.f64 (+.f64 y x)) (-.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 (+.f64 y x)) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (-.f64 x y))) (/.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (neg.f64 (-.f64 x y))) (neg.f64 (+.f64 y x)))
(*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 y x))
(*.f64 (*.f64 (/.f64 1 (-.f64 x y)) 1) (+.f64 y x))
(*.f64 (*.f64 (/.f64 1 (-.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (cbrt.f64 (+.f64 y x)))
(*.f64 (*.f64 (/.f64 1 (-.f64 x y)) (sqrt.f64 (+.f64 y x))) (sqrt.f64 (+.f64 y x)))
(*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 y x))))
(pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) -1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))) 2)
(pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) 1)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) -2))
(log.f64 (exp.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 y x) (-.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (-.f64 x y) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(exp.f64 (log.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 y x))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) (-.f64 x y))) 1))
(exp.f64 (-.f64 (log.f64 (+.f64 y x)) (log.f64 (-.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(fma.f64 y (/.f64 1 (-.f64 x y)) (/.f64 x (-.f64 x y)))
(fma.f64 x (/.f64 1 (-.f64 x y)) (/.f64 y (-.f64 x y)))
(fma.f64 1 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(fma.f64 1 (/.f64 x (-.f64 x y)) (/.f64 y (-.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 x y))) 2) (cbrt.f64 (/.f64 y (-.f64 x y))) (/.f64 x (-.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x y))) 2) (cbrt.f64 (/.f64 x (-.f64 x y))) (/.f64 y (-.f64 x y)))
(fma.f64 (sqrt.f64 (/.f64 y (-.f64 x y))) (sqrt.f64 (/.f64 y (-.f64 x y))) (/.f64 x (-.f64 x y)))
(fma.f64 (sqrt.f64 (/.f64 x (-.f64 x y))) (sqrt.f64 (/.f64 x (-.f64 x y))) (/.f64 y (-.f64 x y)))

simplify404.0ms (7.4%)

Algorithm
egg-herbie
Rules
1000×log-prod
720×fma-def
544×associate-/l*
472×*-commutative
422×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070618039
1198316374
2737016374
Stop Event
node limit
Counts
403 → 386
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 2 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
-1
(-.f64 (*.f64 -1 (/.f64 x y)) (+.f64 1 (/.f64 x y)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))) (+.f64 1 (/.f64 x y)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y)))) (+.f64 1 (/.f64 x y)))
-1
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 x y)) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) (+.f64 1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 x 3) (*.f64 -1 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) (+.f64 1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
-1
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 x y)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1)
1
(-.f64 (+.f64 1 (/.f64 y x)) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 y x))) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))) (*.f64 -1 (/.f64 y x)))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 y) y) x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 y) y) x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 y) y) x)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 y 3)) (pow.f64 y 3)) (pow.f64 x 3))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(*.f64 -1 (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.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)))))
(+.f64 (*.f64 -1 (/.f64 x y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
1
(+.f64 1 (/.f64 y x))
(+.f64 1 (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
1
(+.f64 1 (/.f64 y x))
(+.f64 1 (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
1
(+.f64 1 (/.f64 y x))
(+.f64 1 (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))
(*.f64 -1 (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.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)))))
(+.f64 (*.f64 -1 (/.f64 x y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(*.f64 -1 (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 x y)) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.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)))))
(+.f64 (*.f64 -1 (/.f64 x y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 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))))
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(fma.f64 y (/.f64 1 (-.f64 x y)) (/.f64 x (-.f64 x y)))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 y (-.f64 x y)))) 1)
(*.f64 y (/.f64 1 (-.f64 x y)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 x y))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 -2 (/.f64 x y)))) 1)
(/.f64 -2 (/.f64 y x))
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(pow.f64 (pow.f64 (*.f64 -2 (/.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 x y))) 2)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 4))
(log.f64 (pow.f64 (exp.f64 -2) (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (/.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 -2 (/.f64 x y)) 3))
(expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 -2 (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 -2 (/.f64 x y))) 1))
(log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 x y))))
(+.f64 (/.f64 x (+.f64 y x)) (neg.f64 (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y x)))) 1)
(-.f64 (/.f64 (/.f64 x (+.f64 y x)) 1) (/.f64 (/.f64 y (+.f64 y x)) 1))
(*.f64 (-.f64 x y) (/.f64 1 (+.f64 y x)))
(*.f64 (/.f64 (-.f64 x y) (+.f64 y x)) 1)
(*.f64 1 (/.f64 (-.f64 x y) (+.f64 y x)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) 2) (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 (+.f64 y x))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))))
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 (+.f64 y x))))
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 (+.f64 y x))))
(*.f64 (/.f64 1 (+.f64 y x)) (-.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) (+.f64 y x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) (+.f64 y x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (/.f64 (-.f64 x y) (cbrt.f64 (+.f64 y x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 y x))) (/.f64 (-.f64 x y) (sqrt.f64 (+.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 (+.f64 y x))) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 (+.f64 y x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (+.f64 y x))))
(*.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (-.f64 x y))
(*.f64 (/.f64 (-.f64 x y) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) 2)
(pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) -1)
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 (+.f64 y x))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 y x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 y x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (+.f64 y x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y x))))
(exp.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 y x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 y x))))
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(+.f64 (/.f64 x (-.f64 x y)) (/.f64 y (-.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 y x) (-.f64 x y)))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 x y)) 2) (/.f64 (-.f64 y x) (-.f64 x y))) (/.f64 (pow.f64 (/.f64 x (-.f64 x y)) 2) (/.f64 (-.f64 y x) (-.f64 x y))))
(*.f64 (+.f64 y x) (/.f64 1 (-.f64 x y)))
(*.f64 1 (/.f64 (+.f64 y x) (-.f64 x y)))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (-.f64 x y)) (+.f64 y x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) -2)) (cbrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))) (sqrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(*.f64 (fma.f64 y (-.f64 x y) (*.f64 x (-.f64 x y))) (/.f64 1 (pow.f64 (-.f64 x y) 2)))
(*.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 x y)) 3) (pow.f64 (/.f64 x (-.f64 x y)) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 x y)) 2) (pow.f64 (/.f64 x (-.f64 x y)) 2)) (/.f64 (*.f64 y x) (pow.f64 (-.f64 x y) 2)))))
(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 y x))
(*.f64 (/.f64 1 (-.f64 x y)) (pow.f64 (/.f64 1 (+.f64 y x)) -1))
(*.f64 (/.f64 (+.f64 y x) (-.f64 x y)) 1)
(*.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 x y)) 2) (pow.f64 (/.f64 x (-.f64 x y)) 2)) (/.f64 1 (/.f64 (-.f64 y x) (-.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) -1) (pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (+.f64 y x) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 (+.f64 y x) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 y x)) (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) 1) (/.f64 (sqrt.f64 (+.f64 y x)) (-.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 (+.f64 y x)) (cbrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (-.f64 x y))) (/.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (neg.f64 (-.f64 x y))) (neg.f64 (+.f64 y x)))
(*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 y x))
(*.f64 (*.f64 (/.f64 1 (-.f64 x y)) 1) (+.f64 y x))
(*.f64 (*.f64 (/.f64 1 (-.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (cbrt.f64 (+.f64 y x)))
(*.f64 (*.f64 (/.f64 1 (-.f64 x y)) (sqrt.f64 (+.f64 y x))) (sqrt.f64 (+.f64 y x)))
(*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 y x))))
(pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) -1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))) 2)
(pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) 1)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) -2))
(log.f64 (exp.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 y x) (-.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (-.f64 x y) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(exp.f64 (log.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 y x))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) (-.f64 x y))) 1))
(exp.f64 (-.f64 (log.f64 (+.f64 y x)) (log.f64 (-.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(fma.f64 y (/.f64 1 (-.f64 x y)) (/.f64 x (-.f64 x y)))
(fma.f64 x (/.f64 1 (-.f64 x y)) (/.f64 y (-.f64 x y)))
(fma.f64 1 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(fma.f64 1 (/.f64 x (-.f64 x y)) (/.f64 y (-.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 x y))) 2) (cbrt.f64 (/.f64 y (-.f64 x y))) (/.f64 x (-.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x y))) 2) (cbrt.f64 (/.f64 x (-.f64 x y))) (/.f64 y (-.f64 x y)))
(fma.f64 (sqrt.f64 (/.f64 y (-.f64 x y))) (sqrt.f64 (/.f64 y (-.f64 x y))) (/.f64 x (-.f64 x y)))
(fma.f64 (sqrt.f64 (/.f64 x (-.f64 x y))) (sqrt.f64 (/.f64 x (-.f64 x y))) (/.f64 y (-.f64 x y)))
Outputs
1
(+.f64 1 (*.f64 2 (/.f64 y x)))
(+.f64 1 (/.f64 (*.f64 2 y) x))
(fma.f64 2 (/.f64 y x) 1)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (*.f64 2 (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (/.f64 2 (pow.f64 (/.f64 x y) 2)) (fma.f64 2 (/.f64 y x) 1))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(+.f64 1 (fma.f64 2 (/.f64 y x) (*.f64 2 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(+.f64 1 (+.f64 (fma.f64 2 (/.f64 y x) (/.f64 2 (pow.f64 (/.f64 x y) 2))) (/.f64 2 (pow.f64 (/.f64 x y) 3))))
-1
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(*.f64 (cbrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) -2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) -2)) (cbrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) -2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) 2)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))) (sqrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 (+.f64 y x) (-.f64 x y))
(*.f64 (fma.f64 y (-.f64 x y) (*.f64 x (-.f64 x y))) (/.f64 1 (pow.f64 (-.f64 x y) 2)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (pow.f64 (-.f64 x y) 2))
(*.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 x y)) 3) (pow.f64 (/.f64 x (-.f64 x y)) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 x y)) 2) (pow.f64 (/.f64 x (-.f64 x y)) 2)) (/.f64 (*.f64 y x) (pow.f64 (-.f64 x y) 2)))))
(*.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 x y)) 3) (pow.f64 (/.f64 x (-.f64 x y)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 y (-.f64 x y)) 2) (-.f64 (pow.f64 (/.f64 x (-.f64 x y)) 2) (/.f64 y (/.f64 (pow.f64 (-.f64 x y) 2) x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 x y)) 3) (pow.f64 (/.f64 x (-.f64 x y)) 3)) (+.f64 (pow.f64 (/.f64 y (-.f64 x y)) 2) (-.f64 (pow.f64 (/.f64 x (-.f64 x y)) 2) (/.f64 y (/.f64 (pow.f64 (-.f64 x y) 2) x)))))
(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 y x))
(/.f64 (+.f64 y x) (-.f64 x y))
(*.f64 (/.f64 1 (-.f64 x y)) (pow.f64 (/.f64 1 (+.f64 y x)) -1))
(/.f64 (+.f64 y x) (-.f64 x y))
(*.f64 (/.f64 (+.f64 y x) (-.f64 x y)) 1)
(/.f64 (+.f64 y x) (-.f64 x y))
(*.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 x y)) 2) (pow.f64 (/.f64 x (-.f64 x y)) 2)) (/.f64 1 (/.f64 (-.f64 y x) (-.f64 x y))))
(/.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 x y)) 2) (pow.f64 (/.f64 x (-.f64 x y)) 2)) (/.f64 (-.f64 y x) (-.f64 x y)))
(*.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 x y)) 2) (pow.f64 (/.f64 x (-.f64 x y)) 2)) (/.f64 (-.f64 x y) (-.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) -1))
(/.f64 (+.f64 y x) (-.f64 x y))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) -1) (pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) -1))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) -2)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (+.f64 y x) (cbrt.f64 (-.f64 x y))))
(/.f64 (+.f64 y x) (-.f64 x y))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 (+.f64 y x) (sqrt.f64 (-.f64 x y))))
(/.f64 (+.f64 y x) (-.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 y x)) (-.f64 x y)))
(/.f64 (+.f64 y x) (-.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (-.f64 x y))))
(/.f64 (+.f64 y x) (-.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 (-.f64 x y))))
(/.f64 (+.f64 y x) (-.f64 x y))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) 1) (/.f64 (sqrt.f64 (+.f64 y x)) (-.f64 x y)))
(/.f64 (+.f64 y x) (-.f64 x y))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 (+.f64 y x)) (cbrt.f64 (-.f64 x y))))
(/.f64 (+.f64 y x) (-.f64 x y))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (-.f64 x y))) (/.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (-.f64 x y))))
(/.f64 (+.f64 y x) (-.f64 x y))
(*.f64 (/.f64 1 (neg.f64 (-.f64 x y))) (neg.f64 (+.f64 y x)))
(/.f64 (+.f64 y x) (-.f64 x y))
(*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 y x))
(*.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 (pow.f64 x 2) (pow.f64 y 2))))
(/.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (-.f64 (pow.f64 x 2) (pow.f64 y 2)))
(*.f64 (*.f64 (/.f64 1 (-.f64 x y)) 1) (+.f64 y x))
(/.f64 (+.f64 y x) (-.f64 x y))
(*.f64 (*.f64 (/.f64 1 (-.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (cbrt.f64 (+.f64 y x)))
(/.f64 (+.f64 y x) (-.f64 x y))
(*.f64 (*.f64 (/.f64 1 (-.f64 x y)) (sqrt.f64 (+.f64 y x))) (sqrt.f64 (+.f64 y x)))
(/.f64 (+.f64 y x) (-.f64 x y))
(*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 y x))))
(pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) -1)
(/.f64 (+.f64 y x) (-.f64 x y))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))) 3)
(/.f64 (+.f64 y x) (-.f64 x y))
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) 3) 1/3)
(/.f64 (+.f64 y x) (-.f64 x y))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))) 2)
(/.f64 (+.f64 y x) (-.f64 x y))
(pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) 1)
(/.f64 (+.f64 y x) (-.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) -2))
(fabs.f64 (/.f64 (+.f64 y x) (-.f64 x y)))
(log.f64 (exp.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 (+.f64 y x) (-.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 y x) (-.f64 x y)))))
(/.f64 (+.f64 y x) (-.f64 x y))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) 3))
(/.f64 (+.f64 y x) (-.f64 x y))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (-.f64 x y) 3)))
(/.f64 (+.f64 y x) (-.f64 x y))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 (+.f64 y x) (-.f64 x y))
(exp.f64 (log.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 (+.f64 y x) (-.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 y x))) -1))
(/.f64 (+.f64 y x) (-.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) (-.f64 x y))) 1))
(/.f64 (+.f64 y x) (-.f64 x y))
(exp.f64 (-.f64 (log.f64 (+.f64 y x)) (log.f64 (-.f64 x y))))
(/.f64 (+.f64 y x) (-.f64 x y))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 (+.f64 y x) (-.f64 x y))
(fma.f64 y (/.f64 1 (-.f64 x y)) (/.f64 x (-.f64 x y)))
(/.f64 (+.f64 y x) (-.f64 x y))
(fma.f64 x (/.f64 1 (-.f64 x y)) (/.f64 y (-.f64 x y)))
(/.f64 (+.f64 y x) (-.f64 x y))
(fma.f64 1 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(/.f64 (+.f64 y x) (-.f64 x y))
(fma.f64 1 (/.f64 x (-.f64 x y)) (/.f64 y (-.f64 x y)))
(/.f64 (+.f64 y x) (-.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 x y))) 2) (cbrt.f64 (/.f64 y (-.f64 x y))) (/.f64 x (-.f64 x y)))
(/.f64 (+.f64 y x) (-.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x y))) 2) (cbrt.f64 (/.f64 x (-.f64 x y))) (/.f64 y (-.f64 x y)))
(/.f64 (+.f64 y x) (-.f64 x y))
(fma.f64 (sqrt.f64 (/.f64 y (-.f64 x y))) (sqrt.f64 (/.f64 y (-.f64 x y))) (/.f64 x (-.f64 x y)))
(/.f64 (+.f64 y x) (-.f64 x y))
(fma.f64 (sqrt.f64 (/.f64 x (-.f64 x y))) (sqrt.f64 (/.f64 x (-.f64 x y))) (/.f64 y (-.f64 x y)))
(/.f64 (+.f64 y x) (-.f64 x y))

eval105.0ms (1.9%)

Compiler

Compiled 6926 to 2891 computations (58.3% saved)

prune66.0ms (1.2%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New3851386
Fresh000
Picked044
Done134
Total3868394
Accuracy
100.0%
Counts
394 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (+.f64 x y) (-.f64 x y))
99.9%
(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
99.7%
(/.f64 1 (*.f64 (/.f64 1 (+.f64 y x)) (-.f64 x y)))
54.4%
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
100.0%
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
46.7%
(+.f64 1 (*.f64 2 (/.f64 y x)))
45.5%
1
52.7%
-1
Compiler

Compiled 70 to 47 computations (32.9% saved)

localize98.0ms (1.8%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 1 (+.f64 y x))
100.0%
(/.f64 1 (*.f64 (/.f64 1 (+.f64 y x)) (-.f64 x y)))
99.7%
(*.f64 (/.f64 1 (+.f64 y x)) (-.f64 x y))
Compiler

Compiled 37 to 16 computations (56.8% saved)

series5.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite107.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
1516×prod-diff
951×log1p-expm1-u
951×expm1-log1p-u
304×expm1-udef
304×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01387
118381
2267881
Stop Event
node limit
Counts
3 → 99
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (+.f64 y x)) (-.f64 x y))
(/.f64 1 (*.f64 (/.f64 1 (+.f64 y x)) (-.f64 x y)))
(/.f64 1 (+.f64 y x))
Outputs
(+.f64 (*.f64 (/.f64 1 (+.f64 y x)) x) (*.f64 (/.f64 1 (+.f64 y x)) (neg.f64 y)))
(+.f64 (*.f64 x (/.f64 1 (+.f64 y x))) (*.f64 (neg.f64 y) (/.f64 1 (+.f64 y x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y x)))) 1)
(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
(/.f64 1 (/.f64 (+.f64 y x) (-.f64 x y)))
(/.f64 (/.f64 1 (+.f64 y x)) (/.f64 1 (-.f64 x y)))
(/.f64 (-.f64 x y) (+.f64 y x))
(/.f64 (/.f64 (-.f64 x y) (+.f64 y x)) 1)
(/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 (+.f64 y x) (cbrt.f64 (-.f64 x y))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) 2) (cbrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (+.f64 y x) (sqrt.f64 (-.f64 x y))))
(/.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) (sqrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 (/.f64 (neg.f64 (-.f64 x y)) (+.f64 y x)) -1)
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (+.f64 y x) (fma.f64 x x (*.f64 y (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (pow.f64 (+.f64 y x) 2))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (neg.f64 (+.f64 y x)) (fma.f64 x x (*.f64 y (+.f64 y x)))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 (neg.f64 (+.f64 y x)) (+.f64 y x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 1) (*.f64 (fma.f64 x x (*.f64 y (+.f64 y x))) (+.f64 y x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) -1) (*.f64 (fma.f64 x x (*.f64 y (+.f64 y x))) (neg.f64 (+.f64 y x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) (pow.f64 (+.f64 y x) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) -1) (*.f64 (+.f64 y x) (neg.f64 (+.f64 y x))))
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 (+.f64 y x)))
(/.f64 (/.f64 (-.f64 x y) (sqrt.f64 (+.f64 y x))) (sqrt.f64 (+.f64 y x)))
(/.f64 (*.f64 (/.f64 1 (+.f64 y x)) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 y x))))
(/.f64 (*.f64 (/.f64 1 (+.f64 y x)) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 y x))
(/.f64 (*.f64 (-.f64 x y) -1) (neg.f64 (+.f64 y x)))
(/.f64 (*.f64 -1 (-.f64 x y)) (neg.f64 (+.f64 y x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 1 (+.f64 y x))) (fma.f64 x x (*.f64 y (+.f64 y x))))
(/.f64 (/.f64 (-.f64 x y) 1) (+.f64 y x))
(/.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (cbrt.f64 (+.f64 y x)))
(pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) 2)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 y x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 y x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 y x)) 3) (pow.f64 (-.f64 x y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (/.f64 1 (+.f64 y x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (+.f64 y x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y x))))
(exp.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 y x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 y x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 y x) (-.f64 x y)))) 1)
(*.f64 1 (/.f64 (+.f64 y x) (-.f64 x y)))
(*.f64 (+.f64 y x) (pow.f64 (-.f64 x y) -1))
(*.f64 (+.f64 y x) (/.f64 1 (-.f64 x y)))
(*.f64 (/.f64 (+.f64 y x) (-.f64 x y)) 1)
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (-.f64 x y)) (+.f64 y x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))) 2) (cbrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))) (sqrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(*.f64 (pow.f64 (-.f64 x y) -1) (+.f64 y x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) -1) (pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) -1))
(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 y x))
(*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 y x))
(*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 y x))))
(pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) -1)
(pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))) 2)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 y x) (-.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(exp.f64 (log.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 y x))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) (-.f64 x y))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 y x)))) 1)
(*.f64 1 (/.f64 1 (+.f64 y x)))
(*.f64 (/.f64 1 (+.f64 y x)) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 y x))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 y x))) (cbrt.f64 (pow.f64 (+.f64 y x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 y x) -2)) (/.f64 1 (cbrt.f64 (+.f64 y x))))
(*.f64 (pow.f64 (+.f64 y x) -1/2) (pow.f64 (+.f64 y x) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 y x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 y x)) -1) (pow.f64 (sqrt.f64 (+.f64 y x)) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 y 2) (pow.f64 x 2))) (-.f64 y x))
(pow.f64 (+.f64 y x) -1)
(pow.f64 (/.f64 1 (+.f64 y x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 y x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 y x)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 y x) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 y x) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 y x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 y x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 y x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 y x))))
(exp.f64 (neg.f64 (log.f64 (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 y x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 y x))))

simplify118.0ms (2.1%)

Algorithm
egg-herbie
Rules
608×fma-neg
576×div-sub
498×cancel-sign-sub-inv
412×distribute-lft-neg-in
392×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03697583
110586605
241016527
Stop Event
node limit
Counts
171 → 197
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))
-1
(-.f64 (/.f64 x y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 x (-.f64 x (*.f64 -1 x))) (pow.f64 y 2))) (/.f64 x y)) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 x (-.f64 x (*.f64 -1 x))) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (*.f64 (pow.f64 x 2) (-.f64 x (*.f64 -1 x))) (pow.f64 y 3)))) (+.f64 1 (*.f64 -1 (/.f64 x y))))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 x (-.f64 (*.f64 -1 x) x)) (pow.f64 y 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1 x) x)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 x (-.f64 (*.f64 -1 x) x)) (pow.f64 y 2)))) 1)
-1
(-.f64 (*.f64 2 (/.f64 x y)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 2 (/.f64 x y))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 x y)) (*.f64 2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))))) (/.f64 y x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (pow.f64 x 3))))) (/.f64 y x))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 y x))) (/.f64 y x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))))) (/.f64 y x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 -1 y) y)) (pow.f64 x 2))) (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 y) y)) (pow.f64 x 3))))) (/.f64 y x))
1
(+.f64 1 (*.f64 2 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
-1
(-.f64 (*.f64 -1 (/.f64 x y)) (+.f64 1 (/.f64 x y)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 x y)) (/.f64 (*.f64 x (-.f64 (*.f64 -1 x) x)) (pow.f64 y 2))) (+.f64 1 (/.f64 x y)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 x y)) (+.f64 (/.f64 (*.f64 x (-.f64 (*.f64 -1 x) x)) (pow.f64 y 2)) (/.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 1 (/.f64 x y)))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 x (*.f64 -1 x)) y)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 x (-.f64 x (*.f64 -1 x))) (pow.f64 y 2))) (*.f64 -1 (/.f64 (-.f64 x (*.f64 -1 x)) y))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 x (-.f64 x (*.f64 -1 x))) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 x (*.f64 -1 x))) (pow.f64 y 3))) (*.f64 -1 (/.f64 (-.f64 x (*.f64 -1 x)) y)))) 1)
-1
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 x y)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 x y)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1)
1
(-.f64 (+.f64 1 (/.f64 y x)) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 y x) (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2)))) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 y x) (+.f64 (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2)) (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y (*.f64 -1 y))) (pow.f64 x 3))))) (*.f64 -1 (/.f64 y x)))
1
(-.f64 (+.f64 1 (/.f64 y x)) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 y x) (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2)))) (*.f64 -1 (/.f64 y x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 y x) (+.f64 (/.f64 (*.f64 y (-.f64 y (*.f64 -1 y))) (pow.f64 x 2)) (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y (*.f64 -1 y))) (pow.f64 x 3))))) (*.f64 -1 (/.f64 y x)))
(/.f64 1 x)
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 (pow.f64 y 2) (pow.f64 x 3))))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 1 x) (/.f64 (pow.f64 y 2) (pow.f64 x 3)))))
(/.f64 1 y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 1 y))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 y) (/.f64 (pow.f64 x 2) (pow.f64 y 3))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (+.f64 (/.f64 1 y) (/.f64 (pow.f64 x 2) (pow.f64 y 3)))))
(/.f64 1 y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 1 y))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 y) (/.f64 (pow.f64 x 2) (pow.f64 y 3))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (+.f64 (/.f64 1 y) (/.f64 (pow.f64 x 2) (pow.f64 y 3)))))
(/.f64 1 y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 1 y))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 y) (/.f64 (pow.f64 x 2) (pow.f64 y 3))))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (+.f64 (/.f64 1 y) (/.f64 (pow.f64 x 2) (pow.f64 y 3)))))
(/.f64 1 x)
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 (pow.f64 y 2) (pow.f64 x 3))))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 1 x) (/.f64 (pow.f64 y 2) (pow.f64 x 3)))))
(/.f64 1 x)
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 (pow.f64 y 2) (pow.f64 x 3))))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 1 x) (/.f64 (pow.f64 y 2) (pow.f64 x 3)))))
(+.f64 (*.f64 (/.f64 1 (+.f64 y x)) x) (*.f64 (/.f64 1 (+.f64 y x)) (neg.f64 y)))
(+.f64 (*.f64 x (/.f64 1 (+.f64 y x))) (*.f64 (neg.f64 y) (/.f64 1 (+.f64 y x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y x)))) 1)
(-.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
(/.f64 1 (/.f64 (+.f64 y x) (-.f64 x y)))
(/.f64 (/.f64 1 (+.f64 y x)) (/.f64 1 (-.f64 x y)))
(/.f64 (-.f64 x y) (+.f64 y x))
(/.f64 (/.f64 (-.f64 x y) (+.f64 y x)) 1)
(/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 (+.f64 y x) (cbrt.f64 (-.f64 x y))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) 2) (cbrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (+.f64 y x) (sqrt.f64 (-.f64 x y))))
(/.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) (sqrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 (/.f64 (neg.f64 (-.f64 x y)) (+.f64 y x)) -1)
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (+.f64 y x) (fma.f64 x x (*.f64 y (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (pow.f64 (+.f64 y x) 2))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (neg.f64 (+.f64 y x)) (fma.f64 x x (*.f64 y (+.f64 y x)))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 (neg.f64 (+.f64 y x)) (+.f64 y x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 1) (*.f64 (fma.f64 x x (*.f64 y (+.f64 y x))) (+.f64 y x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) -1) (*.f64 (fma.f64 x x (*.f64 y (+.f64 y x))) (neg.f64 (+.f64 y x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) (pow.f64 (+.f64 y x) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) -1) (*.f64 (+.f64 y x) (neg.f64 (+.f64 y x))))
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 (+.f64 y x)))
(/.f64 (/.f64 (-.f64 x y) (sqrt.f64 (+.f64 y x))) (sqrt.f64 (+.f64 y x)))
(/.f64 (*.f64 (/.f64 1 (+.f64 y x)) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 y x))))
(/.f64 (*.f64 (/.f64 1 (+.f64 y x)) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 y x))
(/.f64 (*.f64 (-.f64 x y) -1) (neg.f64 (+.f64 y x)))
(/.f64 (*.f64 -1 (-.f64 x y)) (neg.f64 (+.f64 y x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 1 (+.f64 y x))) (fma.f64 x x (*.f64 y (+.f64 y x))))
(/.f64 (/.f64 (-.f64 x y) 1) (+.f64 y x))
(/.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (cbrt.f64 (+.f64 y x)))
(pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) 2)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 y x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 y x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 y x)) 3) (pow.f64 (-.f64 x y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (/.f64 1 (+.f64 y x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (+.f64 y x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y x))))
(exp.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 y x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 y x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 y x) (-.f64 x y)))) 1)
(*.f64 1 (/.f64 (+.f64 y x) (-.f64 x y)))
(*.f64 (+.f64 y x) (pow.f64 (-.f64 x y) -1))
(*.f64 (+.f64 y x) (/.f64 1 (-.f64 x y)))
(*.f64 (/.f64 (+.f64 y x) (-.f64 x y)) 1)
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (-.f64 x y)) (+.f64 y x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))) 2) (cbrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))) (sqrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(*.f64 (pow.f64 (-.f64 x y) -1) (+.f64 y x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) -1) (pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (+.f64 y x))) -1))
(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 y x))
(*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 y x))
(*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 y x))))
(pow.f64 (/.f64 (-.f64 x y) (+.f64 y x)) -1)
(pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 y x) (-.f64 x y))) 2)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 y x) (-.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(exp.f64 (log.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 y x))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) (-.f64 x y))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 y x)))) 1)
(*.f64 1 (/.f64 1 (+.f64 y x)))
(*.f64 (/.f64 1 (+.f64 y x)) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 y x))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 y x))) (cbrt.f64 (pow.f64 (+.f64 y x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 y x) -2)) (/.f64 1 (cbrt.f64 (+.f64 y x))))
(*.f64 (pow.f64 (+.f64 y x) -1/2) (pow.f64 (+.f64 y x) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 y x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 y x)) -1) (pow.f64 (sqrt.f64 (+.f64 y x)) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 y 2) (pow.f64 x 2))) (-.f64 y x))
(pow.f64 (+.f64 y x) -1)
(pow.f64 (/.f64 1 (+.f64 y x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 y x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 y x)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 y x) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 y x) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 y x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 y x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 y x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 y x))))
(exp.f64 (neg.f64 (log.f64 (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 y x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 y x))))
Outputs
1
(+.f64 1 (*.f64 -2 (/.f64 y x)))
(fma.f64 -2 (/.f64 y x) 1)
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -2 (/.f64 y x) (/.f64 (*.f64 2 (pow.f64 y 2)) (pow.f64 x 2))))
(+.f64 1 (fma.f64 -2 (/.f64 y x) (*.f64 2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (fma.f64 -2 (/.f64 y x) 1) (/.f64 (*.f64 2 (pow.f64 y 2)) (pow.f64 x 2)))
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(sqrt.f64 (pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) 2))
(/.f64 (+.f64 y x) (-.f64 x y))
(log.f64 (exp.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 (+.f64 y x) (-.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 y x) (-.f64 x y)))))
(/.f64 (+.f64 y x) (-.f64 x y))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 y x) (-.f64 x y)) 3))
(/.f64 (+.f64 y x) (-.f64 x y))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 (+.f64 y x) (-.f64 x y))
(exp.f64 (log.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 (+.f64 y x) (-.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (+.f64 y x))) -1))
(/.f64 (+.f64 y x) (-.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) (-.f64 x y))) 1))
(/.f64 (+.f64 y x) (-.f64 x y))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 (+.f64 y x) (-.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 y x)))) 1)
(/.f64 1 (+.f64 y x))
(*.f64 1 (/.f64 1 (+.f64 y x)))
(/.f64 1 (+.f64 y x))
(*.f64 (/.f64 1 (+.f64 y x)) 1)
(/.f64 1 (+.f64 y x))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 y x))))
(/.f64 1 (+.f64 y x))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 y x))) (cbrt.f64 (pow.f64 (+.f64 y x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 y x) -2)) (cbrt.f64 (+.f64 y x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 y x) -2)) (/.f64 1 (cbrt.f64 (+.f64 y x))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 y x))) (cbrt.f64 (pow.f64 (+.f64 y x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 y x) -2)) (cbrt.f64 (+.f64 y x)))
(*.f64 (pow.f64 (+.f64 y x) -1/2) (pow.f64 (+.f64 y x) -1/2))
(/.f64 1 (+.f64 y x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 y x)) -1))
(/.f64 1 (+.f64 y x))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 y x)) -1) (pow.f64 (sqrt.f64 (+.f64 y x)) -1))
(pow.f64 (sqrt.f64 (+.f64 y x)) -2)
(*.f64 (/.f64 1 (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (+.f64 (pow.f64 y 3) (pow.f64 x 3)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 y 2) (pow.f64 x 2))) (-.f64 y x))
(/.f64 (-.f64 y x) (-.f64 (pow.f64 y 2) (pow.f64 x 2)))
(pow.f64 (+.f64 y x) -1)
(/.f64 1 (+.f64 y x))
(pow.f64 (/.f64 1 (+.f64 y x)) 1)
(/.f64 1 (+.f64 y x))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 y x))) 3)
(/.f64 1 (+.f64 y x))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 y x)) 3) 1/3)
(/.f64 1 (+.f64 y x))
(pow.f64 (pow.f64 (+.f64 y x) -1/2) 2)
(/.f64 1 (+.f64 y x))
(sqrt.f64 (pow.f64 (+.f64 y x) -2))
(/.f64 1 (+.f64 y x))
(log.f64 (exp.f64 (/.f64 1 (+.f64 y x))))
(/.f64 1 (+.f64 y x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 y x)))))
(/.f64 1 (+.f64 y x))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 y x)) 3))
(/.f64 1 (+.f64 y x))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 y x))))
(/.f64 1 (+.f64 y x))
(exp.f64 (neg.f64 (log.f64 (+.f64 y x))))
(/.f64 1 (+.f64 y x))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) -1))
(/.f64 1 (+.f64 y x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 y x))) 1))
(/.f64 1 (+.f64 y x))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 y x))))
(/.f64 1 (+.f64 y x))

eval98.0ms (1.8%)

Compiler

Compiled 3396 to 1855 computations (45.4% saved)

prune31.0ms (0.6%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New1970197
Fresh000
Picked011
Done077
Total1978205
Accuracy
100.0%
Counts
205 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (+.f64 x y) (-.f64 x y))
99.9%
(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
99.7%
(/.f64 1 (*.f64 (/.f64 1 (+.f64 y x)) (-.f64 x y)))
54.4%
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
100.0%
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
46.7%
(+.f64 1 (*.f64 2 (/.f64 y x)))
45.5%
1
52.7%
-1
Compiler

Compiled 163 to 86 computations (47.2% saved)

regimes30.0ms (0.5%)

Counts
12 → 1
Calls
Call 1
Inputs
-1
1
(+.f64 1 (*.f64 2 (/.f64 y x)))
(-.f64 (*.f64 -2 (/.f64 x y)) 1)
(/.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 x y))
(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(/.f64 1 (*.f64 (/.f64 1 (+.f64 y x)) (-.f64 x y)))
(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) -1)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
Outputs
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
Calls

3 calls:

20.0ms
x
7.0ms
y
2.0ms
(/.f64 (+.f64 x y) (-.f64 x y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 15 to 9 computations (40% saved)

regimes13.0ms (0.2%)

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

3 calls:

5.0ms
y
5.0ms
x
2.0ms
(/.f64 (+.f64 x y) (-.f64 x y))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(/.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 15 to 9 computations (40% saved)

regimes100.0ms (1.8%)

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

2 calls:

85.0ms
x
14.0ms
y
Results
AccuracySegmentsBranch
75.8%3x
80.5%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.2%)

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

1 calls:

13.0ms
y
Results
AccuracySegmentsBranch
79.6%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.2%)

Counts
2 → 3
Calls
Call 1
Inputs
-1
1
Outputs
-1
1
-1
Calls

1 calls:

11.0ms
y
Results
AccuracySegmentsBranch
79.0%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
-1
Outputs
-1
Calls

2 calls:

3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
52.7%1x
52.7%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch27.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
2.071321148116129e-51
1.210007223098956e-48
14.0ms
-1.8764351185532566e-55
-5.546938792288577e-59
Results
22.0ms240×256valid
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 334 to 265 computations (20.7% saved)

bsearch27.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
2.071321148116129e-51
1.210007223098956e-48
13.0ms
-1.8764351185532566e-55
-5.546938792288577e-59
Results
23.0ms240×256valid
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 238 to 201 computations (15.5% saved)

bsearch17.0ms (0.3%)

Algorithm
binary-search
Stop Event
predicate-same
predicate-same
Steps
TimeLeftRight
10.0ms
2.071321148116129e-51
1.210007223098956e-48
7.0ms
-1.8764351185532566e-55
-5.546938792288577e-59
Results
14.0ms144×256valid
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 94 to 89 computations (5.3% saved)

simplify24.0ms (0.4%)

Algorithm
egg-herbie
Rules
14×+-commutative
sub-neg
*-commutative
if-if-or-not
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044240
170240
276240
383240
484240
Stop Event
done
saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 y -2898733465652037/27606985387162255149739023449108101809804435888681546220650096895197184) (-.f64 (*.f64 -2 (/.f64 x y)) 1) (if (<=.f64 y 1537559458360935/105312291668557186697918027683670432318895095400549111254310977536) (+.f64 1 (*.f64 2 (/.f64 y x))) (-.f64 (*.f64 -2 (/.f64 x y)) 1)))
(if (<=.f64 y -7067388259113537/883423532389192164791648750371459257913741948437809479060803100646309888) -1 (if (<=.f64 y 1349313737003389/3291009114642412084309938365114701009965471731267159726697218048) (+.f64 1 (*.f64 2 (/.f64 y x))) -1))
(if (<=.f64 y -7067388259113537/3533694129556768659166595001485837031654967793751237916243212402585239552) -1 (if (<=.f64 y 7898421875141789/6582018229284824168619876730229402019930943462534319453394436096) 1 -1))
-1
Outputs
(+.f64 (/.f64 y (-.f64 x y)) (/.f64 x (-.f64 x y)))
(/.f64 (+.f64 x y) (-.f64 x y))
(/.f64 (+.f64 y x) (-.f64 x y))
(if (<=.f64 y -2898733465652037/27606985387162255149739023449108101809804435888681546220650096895197184) (-.f64 (*.f64 -2 (/.f64 x y)) 1) (if (<=.f64 y 1537559458360935/105312291668557186697918027683670432318895095400549111254310977536) (+.f64 1 (*.f64 2 (/.f64 y x))) (-.f64 (*.f64 -2 (/.f64 x y)) 1)))
(if (or (<=.f64 y -2898733465652037/27606985387162255149739023449108101809804435888681546220650096895197184) (not (<=.f64 y 1537559458360935/105312291668557186697918027683670432318895095400549111254310977536))) (-.f64 (*.f64 -2 (/.f64 x y)) 1) (+.f64 1 (*.f64 2 (/.f64 y x))))
(if (or (<=.f64 y -2898733465652037/27606985387162255149739023449108101809804435888681546220650096895197184) (not (<=.f64 y 1537559458360935/105312291668557186697918027683670432318895095400549111254310977536))) (+.f64 (*.f64 -2 (/.f64 x y)) -1) (+.f64 1 (*.f64 2 (/.f64 y x))))
(if (<=.f64 y -7067388259113537/883423532389192164791648750371459257913741948437809479060803100646309888) -1 (if (<=.f64 y 1349313737003389/3291009114642412084309938365114701009965471731267159726697218048) (+.f64 1 (*.f64 2 (/.f64 y x))) -1))
(if (<=.f64 y -7067388259113537/3533694129556768659166595001485837031654967793751237916243212402585239552) -1 (if (<=.f64 y 7898421875141789/6582018229284824168619876730229402019930943462534319453394436096) 1 -1))
-1
Compiler

Compiled 82 to 59 computations (28% saved)

soundness373.0ms (6.8%)

Rules
1664×prod-diff
1104×prod-diff
862×log1p-expm1-u
733×log1p-expm1-u
733×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
112731
2192131
022203
1297203
23809203
Stop Event
node limit
node limit
Compiler

Compiled 128 to 43 computations (66.4% saved)

end0.0ms (0%)

preprocess162.0ms (3%)

Compiler

Compiled 192 to 120 computations (37.5% saved)

Profiling

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