AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, A

Time bar (total: 4.6s)

analyze59.0ms (1.3%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
37.5%37.5%62.4%0.1%0%0%0%4
56.3%56.2%43.7%0.1%0%0%0%5
65.6%65.6%34.3%0.1%0%0%0%6
76.6%76.5%23.4%0.1%0%0%0%7
82%82%18%0.1%0%0%0%8
87.9%87.8%12.1%0.1%0%0%0%9
90.8%90.7%9.2%0.1%0%0%0%10
93.8%93.8%6.1%0.1%0%0%0%11
95.4%95.3%4.6%0.1%0%0%0%12
Compiler

Compiled 8 to 5 computations (37.5% saved)

sample1.1s (24.8%)

Results
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Bogosity

preprocess193.0ms (4.2%)

Algorithm
egg-herbie
Rules
454×fma-define
276×fma-neg
162×times-frac
102×associate-*l*
82×unsub-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(+.f64 x y)
00-0-(/.f64 x (+.f64 x y))
00-0-y
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020194
143154
283154
3175154
4395154
5664154
6965154
71086154
81129154
91157154
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 x y))
(/.f64 x (+.f64 x y))
(/.f64 (neg.f64 x) (+.f64 (neg.f64 x) y))
(/.f64 x (+.f64 x (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 (neg.f64 x) y)))
(neg.f64 (/.f64 x (+.f64 x (neg.f64 y))))
(/.f64 y (+.f64 y x))
Outputs
(/.f64 x (+.f64 x y))
(/.f64 x (+.f64 x y))
(/.f64 (neg.f64 x) (+.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) (+.f64 y (neg.f64 x)))
(/.f64 x (-.f64 x y))
(/.f64 x (+.f64 x (neg.f64 y)))
(/.f64 (neg.f64 x) (+.f64 y (neg.f64 x)))
(/.f64 x (-.f64 x y))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 (neg.f64 x) y)))
(/.f64 (neg.f64 (neg.f64 x)) (+.f64 y (neg.f64 x)))
(/.f64 x (-.f64 y x))
(neg.f64 (/.f64 x (+.f64 x (neg.f64 y))))
(/.f64 (neg.f64 (neg.f64 x)) (+.f64 y (neg.f64 x)))
(/.f64 x (-.f64 y x))
(/.f64 y (+.f64 y x))
(/.f64 y (+.f64 x y))
Compiler

Compiled 33 to 14 computations (57.6% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 x (+.f64 x y))
Compiler

Compiled 7 to 4 computations (42.9% saved)

localize22.0ms (0.5%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 x (+.f64 x y))
Compiler

Compiled 13 to 5 computations (61.5% saved)

series5.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite318.0ms (6.9%)

Algorithm
batch-egg-rewrite
Rules
1016×unpow-prod-down
946×prod-diff
577×log1p-expm1-u
577×expm1-log1p-u
540×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0922
110222
2151722
Stop Event
node limit
Counts
1 → 81
Calls
Call 1
Inputs
(/.f64 x (+.f64 x y))
Outputs
(+.f64 0 (/.f64 x (+.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.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 (/.f64 x (+.f64 x y)) (log.f64 (exp.f64 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 x y)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) 1))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 x y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x y))))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) 1))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 x y))))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 1 (neg.f64 (+.f64 x y))) 1))
(*.f64 (/.f64 1 (+.f64 x y)) x)
(*.f64 (/.f64 1 (+.f64 x y)) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (/.f64 x (cbrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) x) -1))
(*.f64 (pow.f64 (+.f64 x y) -1/2) (/.f64 x (sqrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (+.f64 x y) -1/2) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.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) 1) (/.f64 (sqrt.f64 x) (+.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 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (pow.f64 x 2)))
(*.f64 (/.f64 x (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (-.f64 x y))
(*.f64 (pow.f64 1 1/3) (/.f64 x (+.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) 1) (pow.f64 (/.f64 x (cbrt.f64 (+.f64 x y))) 1))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 1) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) 1) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x y))) 1) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x y))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) 1) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x y))) 1))
(*.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) 1) (fma.f64 y (-.f64 y x) (pow.f64 x 2)))
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) (-.f64 x y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 2) 3) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 x y)) 2) x) 1/3) (cbrt.f64 (/.f64 1 (+.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x y)) (cbrt.f64 (/.f64 x (+.f64 x y)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2) -1) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) -1) (pow.f64 (/.f64 (+.f64 x y) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) x) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 x)) -1))
(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)) 2) 1/2)
(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)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (+.f64 x y) x) 1) -1)
(neg.f64 (/.f64 x (neg.f64 (+.f64 x y))))
(neg.f64 (/.f64 (neg.f64 x) (+.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))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
(log1p.f64 (expm1.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))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (+.f64 x y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) 1) 1))

simplify75.0ms (1.6%)

Algorithm
egg-herbie
Rules
1564×times-frac
1084×fma-define
800×associate-/l*
712×associate-/r*
672×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02664199
16553987
221183856
Stop Event
node limit
Counts
105 → 135
Calls
Call 1
Inputs
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 0 (/.f64 x (+.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.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 (/.f64 x (+.f64 x y)) (log.f64 (exp.f64 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 x y)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) 1))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 x y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x y))))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) 1))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 x y))))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 1 (neg.f64 (+.f64 x y))) 1))
(*.f64 (/.f64 1 (+.f64 x y)) x)
(*.f64 (/.f64 1 (+.f64 x y)) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (/.f64 x (cbrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) x) -1))
(*.f64 (pow.f64 (+.f64 x y) -1/2) (/.f64 x (sqrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (+.f64 x y) -1/2) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.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) 1) (/.f64 (sqrt.f64 x) (+.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 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (pow.f64 x 2)))
(*.f64 (/.f64 x (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (-.f64 x y))
(*.f64 (pow.f64 1 1/3) (/.f64 x (+.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) 1) (pow.f64 (/.f64 x (cbrt.f64 (+.f64 x y))) 1))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 1) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) 1) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x y))) 1) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x y))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) 1) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x y))) 1))
(*.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) 1) (fma.f64 y (-.f64 y x) (pow.f64 x 2)))
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) (-.f64 x y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 2) 3) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 x y)) 2) x) 1/3) (cbrt.f64 (/.f64 1 (+.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x y)) (cbrt.f64 (/.f64 x (+.f64 x y)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2) -1) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) -1) (pow.f64 (/.f64 (+.f64 x y) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) x) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 x)) -1))
(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)) 2) 1/2)
(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)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (+.f64 x y) x) 1) -1)
(neg.f64 (/.f64 x (neg.f64 (+.f64 x y))))
(neg.f64 (/.f64 (neg.f64 x) (+.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))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
(log1p.f64 (expm1.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))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (+.f64 x y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) 1) 1))
Outputs
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(fma.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(-.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (-.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(+.f64 (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 3) (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (fma.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 x (/.f64 x (pow.f64 y 2)) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (fma.f64 -1 (/.f64 y x) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (-.f64 1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 1 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -1 (/.f64 y x) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (-.f64 1 (/.f64 y x)) (-.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))
(-.f64 (+.f64 1 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))) (pow.f64 (/.f64 y x) 3))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (fma.f64 -1 (/.f64 y x) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (-.f64 1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 1 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -1 (/.f64 y x) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (-.f64 1 (/.f64 y x)) (-.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))
(-.f64 (+.f64 1 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))) (pow.f64 (/.f64 y x) 3))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (neg.f64 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (fma.f64 -1 (/.f64 y x) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (-.f64 1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(+.f64 1 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -1 (/.f64 y x) (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (-.f64 1 (/.f64 y x)) (-.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))
(-.f64 (+.f64 1 (*.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)))) (pow.f64 (/.f64 y x) 3))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(fma.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(-.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (-.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(+.f64 (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 3) (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (fma.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 x (/.f64 x (pow.f64 y 2)) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(fma.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(-.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (-.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(+.f64 (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 3) (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (fma.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 x (/.f64 x (pow.f64 y 2)) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(+.f64 0 (/.f64 x (+.f64 x y)))
(/.f64 x (+.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x y)))) 1)
(/.f64 x (+.f64 x y))
(*.f64 x (/.f64 1 (+.f64 x y)))
(/.f64 x (+.f64 x y))
(*.f64 (/.f64 x (+.f64 x y)) 1)
(/.f64 x (+.f64 x y))
(*.f64 (/.f64 x (+.f64 x y)) (log.f64 (exp.f64 1)))
(/.f64 x (+.f64 x y))
(*.f64 1 (/.f64 x (+.f64 x y)))
(/.f64 x (+.f64 x y))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2))
(/.f64 x (+.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2) (cbrt.f64 (/.f64 x (+.f64 x y))))
(/.f64 x (+.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (+.f64 x y)))
(/.f64 x (+.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x y))))
(/.f64 x (+.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) 1))
(/.f64 x (+.f64 x y))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 x (+.f64 x y))))
(/.f64 x (+.f64 x y))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 x y)))
(/.f64 x (+.f64 x y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x y))))
(/.f64 x (+.f64 x y))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) 1))
(/.f64 x (+.f64 x y))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 x y))))
(/.f64 x (+.f64 x y))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 1 (neg.f64 (+.f64 x y))) 1))
(/.f64 x (+.f64 x y))
(*.f64 (/.f64 1 (+.f64 x y)) x)
(/.f64 x (+.f64 x y))
(*.f64 (/.f64 1 (+.f64 x y)) (pow.f64 (/.f64 1 x) -1))
(/.f64 x (+.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (/.f64 x (cbrt.f64 (+.f64 x y))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (/.f64 (cbrt.f64 (+.f64 x y)) x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) x) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (/.f64 x (cbrt.f64 (+.f64 x y))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (/.f64 (cbrt.f64 (+.f64 x y)) x))
(*.f64 (pow.f64 (+.f64 x y) -1/2) (/.f64 x (sqrt.f64 (+.f64 x y))))
(*.f64 x (/.f64 (pow.f64 (+.f64 x y) -1/2) (sqrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (+.f64 x y) -1/2) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) -1))
(*.f64 (pow.f64 (+.f64 x y) -1/2) (/.f64 x (sqrt.f64 (+.f64 x y))))
(*.f64 x (/.f64 (pow.f64 (+.f64 x y) -1/2) (sqrt.f64 (+.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x y)))
(/.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 (cbrt.f64 (/.f64 x (+.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x y))))
(/.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
(/.f64 x (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x y)))
(/.f64 x (+.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 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (/.f64 x (cbrt.f64 (+.f64 x y))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (/.f64 (cbrt.f64 (+.f64 x y)) x))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (pow.f64 x 2)))
(*.f64 x (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))))
(/.f64 (*.f64 x (fma.f64 y (-.f64 y x) (pow.f64 x 2))) (+.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 (/.f64 x (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (-.f64 x y))
(*.f64 x (/.f64 (-.f64 x y) (-.f64 (pow.f64 x 2) (pow.f64 y 2))))
(*.f64 (pow.f64 1 1/3) (/.f64 x (+.f64 x y)))
(/.f64 x (+.f64 x y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) 1) (pow.f64 (/.f64 x (cbrt.f64 (+.f64 x y))) 1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (/.f64 x (cbrt.f64 (+.f64 x y))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (/.f64 (cbrt.f64 (+.f64 x y)) x))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) -1/2) 1) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) 1))
(*.f64 (pow.f64 (+.f64 x y) -1/2) (/.f64 x (sqrt.f64 (+.f64 x y))))
(*.f64 x (/.f64 (pow.f64 (+.f64 x y) -1/2) (sqrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 x y)) 1))
(/.f64 x (+.f64 x y))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) 1) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x y))) 1) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x y))) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x y))))
(/.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
(/.f64 x (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) 1) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) 1))
(/.f64 x (+.f64 x y))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x y))) 1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (/.f64 x (cbrt.f64 (+.f64 x y))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (/.f64 (cbrt.f64 (+.f64 x y)) x))
(*.f64 (pow.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) 1) (fma.f64 y (-.f64 y x) (pow.f64 x 2)))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (pow.f64 x 2)))
(*.f64 x (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))))
(/.f64 (*.f64 x (fma.f64 y (-.f64 y x) (pow.f64 x 2))) (+.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) (-.f64 x y))
(*.f64 (/.f64 x (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (-.f64 x y))
(*.f64 x (/.f64 (-.f64 x y) (-.f64 (pow.f64 x 2) (pow.f64 y 2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 2) 3) (cbrt.f64 (/.f64 x (+.f64 x y))))
(/.f64 x (+.f64 x y))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 3))
(/.f64 x (+.f64 x y))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3/2)) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3/2)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 x y)) 2) x) 1/3) (cbrt.f64 (/.f64 1 (+.f64 x y))))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) 2))) (cbrt.f64 (/.f64 1 (+.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x y)) (cbrt.f64 (/.f64 x (+.f64 x y)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x y)) (cbrt.f64 (/.f64 x (+.f64 x y)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 8)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 5/2)) (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2) -1) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2)))
(/.f64 (*.f64 1 (cbrt.f64 (/.f64 x (+.f64 x y)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2))
(/.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) -1) (pow.f64 (/.f64 (+.f64 x y) (cbrt.f64 x)) -1))
(/.f64 x (+.f64 x y))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (/.f64 (+.f64 x y) (sqrt.f64 x)) -1))
(*.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 1 (/.f64 (+.f64 x y) (sqrt.f64 x))))
(*.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 (sqrt.f64 x) (+.f64 x y)))
(/.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) (pow.f64 x -1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) x) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (/.f64 x (cbrt.f64 (+.f64 x y))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (/.f64 (cbrt.f64 (+.f64 x y)) x))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 x)) -1))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 x) 2))) (/.f64 1 (/.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 x))))
(/.f64 (*.f64 1 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x y))) (cbrt.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (/.f64 x (cbrt.f64 (+.f64 x y))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (/.f64 (cbrt.f64 (+.f64 x y)) x))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x y))))
(/.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
(/.f64 x (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 x)) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x y))))
(/.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
(/.f64 x (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 x)) -1))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 x)) -2)
(pow.f64 (/.f64 x (+.f64 x y)) 1)
(/.f64 x (+.f64 x y))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 3)
(/.f64 x (+.f64 x y))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) 2) 1/2)
(/.f64 x (+.f64 x y))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3) 1/3)
(/.f64 x (+.f64 x y))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
(/.f64 x (+.f64 x y))
(pow.f64 (/.f64 (+.f64 x y) x) -1)
(/.f64 x (+.f64 x y))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)) 1/3)
(/.f64 x (+.f64 x y))
(pow.f64 (/.f64 (/.f64 (+.f64 x y) x) 1) -1)
(/.f64 x (+.f64 x y))
(neg.f64 (/.f64 x (neg.f64 (+.f64 x y))))
(/.f64 x (+.f64 x y))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 x y)))
(/.f64 x (+.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 2))
(/.f64 x (+.f64 x y))
(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
(/.f64 x (+.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x y)))))
(/.f64 x (+.f64 x y))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
(/.f64 x (+.f64 x y))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)))
(/.f64 x (+.f64 x y))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
(/.f64 x (+.f64 x y))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))
(/.f64 x (+.f64 x y))
(exp.f64 (log.f64 (/.f64 x (+.f64 x y))))
(/.f64 x (+.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) 1))
(/.f64 x (+.f64 x y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 x y)))) 3))
(/.f64 x (+.f64 x y))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (+.f64 x y)))) 1/3))
(/.f64 x (+.f64 x y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) 2))
(/.f64 x (+.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) -1))
(/.f64 x (+.f64 x y))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) 1) 1))
(/.f64 x (+.f64 x y))

eval33.0ms (0.7%)

Compiler

Compiled 1900 to 825 computations (56.6% saved)

prune50.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1296135
Fresh000
Picked011
Done000
Total1297136
Accuracy
100.0%
Counts
136 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(pow.f64 (/.f64 (+.f64 x y) x) -1)
100.0%
(/.f64 x (+.f64 x y))
49.7%
(/.f64 x y)
99.6%
(*.f64 (/.f64 1 (+.f64 x y)) x)
79.1%
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) 2))) (cbrt.f64 (/.f64 1 (+.f64 x y))))
63.5%
(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
51.1%
1
Compiler

Compiled 115 to 76 computations (33.9% saved)

localize226.0ms (4.9%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
100.0%
(exp.f64 (/.f64 x (+.f64 x y)))
100.0%
(/.f64 x (+.f64 x y))
63.5%
(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
100.0%
(/.f64 (+.f64 x y) x)
99.5%
(pow.f64 (/.f64 (+.f64 x y) x) -1)
100.0%
(/.f64 1 (+.f64 x y))
99.7%
(*.f64 (/.f64 1 (+.f64 x y)) x)
Compiler

Compiled 68 to 19 computations (72.1% saved)

series62.0ms (1.4%)

Counts
6 → 144
Calls

36 calls:

TimeVariablePointExpression
36.0ms
x
@0
(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
1.0ms
x
@-inf
(/.f64 (+.f64 x y) x)
1.0ms
x
@inf
(exp.f64 (/.f64 x (+.f64 x y)))
1.0ms
y
@inf
(exp.f64 (/.f64 x (+.f64 x y)))
1.0ms
y
@0
(exp.f64 (/.f64 x (+.f64 x y)))

rewrite197.0ms (4.3%)

Algorithm
batch-egg-rewrite
Rules
946×prod-diff
866×log-prod
838×log1p-expm1-u
838×expm1-log1p-u
416×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018133
1223133
22415133
Stop Event
node limit
Counts
6 → 261
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (+.f64 x y)) x)
(/.f64 1 (+.f64 x y))
(pow.f64 (/.f64 (+.f64 x y) x) -1)
(/.f64 (+.f64 x y) x)
(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (/.f64 x (+.f64 x y)))
Outputs
(+.f64 (/.f64 x (+.f64 x y)) 0)
(+.f64 0 (/.f64 x (+.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) 2)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x y)))) 1)
(/.f64 1 (/.f64 (+.f64 x y) x))
(/.f64 1 (/.f64 (/.f64 (+.f64 x y) x) 1))
(/.f64 x (+.f64 x y))
(/.f64 (/.f64 1 (+.f64 x y)) (/.f64 1 x))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 x y) x)))
(/.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) x)))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 x y)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
(/.f64 (/.f64 x 1) (+.f64 x y))
(/.f64 (*.f64 x -1) (neg.f64 (+.f64 x y)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) x)))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 x y)))
(pow.f64 (/.f64 (+.f64 x y) x) -1)
(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 (pow.f64 (/.f64 (+.f64 x y) x) 2) -1/2)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
(neg.f64 (/.f64 x (neg.f64 (+.f64 x y))))
(neg.f64 (/.f64 (neg.f64 x) (+.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))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (+.f64 x y)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x y)) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
(log1p.f64 (expm1.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))
(+.f64 0 (/.f64 1 (+.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x y)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.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)
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(log1p.f64 (expm1.f64 (exp.f64 (/.f64 x (+.f64 x y)))))

simplify348.0ms (7.6%)

Algorithm
egg-herbie
Rules
906×log-prod
626×exp-prod
610×cube-prod
438×associate-*r*
436×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045413541
1112313042
2466412816
Stop Event
node limit
Counts
405 → 283
Calls
Call 1
Inputs
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (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 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 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
1
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
1
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
1
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(/.f64 y x)
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(+.f64 1 (/.f64 y x))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
1
(+.f64 1 (/.f64 x y))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 x y))))
(exp.f64 1)
(+.f64 (exp.f64 1) (*.f64 -1 (/.f64 (*.f64 y (exp.f64 1)) x)))
(+.f64 (exp.f64 1) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (exp.f64 1)) x)) (/.f64 (*.f64 (exp.f64 1) (+.f64 (*.f64 1/2 (pow.f64 y 2)) (pow.f64 y 2))) (pow.f64 x 2))))
(+.f64 (exp.f64 1) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (exp.f64 1)) x)) (+.f64 (/.f64 (*.f64 (exp.f64 1) (+.f64 (*.f64 -2 (pow.f64 y 3)) (*.f64 -1/6 (pow.f64 y 3)))) (pow.f64 x 3)) (/.f64 (*.f64 (exp.f64 1) (+.f64 (*.f64 1/2 (pow.f64 y 2)) (pow.f64 y 2))) (pow.f64 x 2)))))
(exp.f64 1)
(+.f64 (exp.f64 1) (*.f64 -1 (/.f64 (*.f64 y (exp.f64 1)) x)))
(+.f64 (exp.f64 1) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (exp.f64 1)) x)) (/.f64 (*.f64 (exp.f64 1) (+.f64 (*.f64 1/2 (pow.f64 y 2)) (pow.f64 y 2))) (pow.f64 x 2))))
(+.f64 (exp.f64 1) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (exp.f64 1)) x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 1) (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 2 (pow.f64 y 3)))) (pow.f64 x 3))) (/.f64 (*.f64 (exp.f64 1) (+.f64 (*.f64 1/2 (pow.f64 y 2)) (pow.f64 y 2))) (pow.f64 x 2)))))
(exp.f64 1)
(+.f64 (exp.f64 1) (*.f64 -1 (/.f64 (*.f64 y (exp.f64 1)) x)))
(+.f64 (exp.f64 1) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (exp.f64 1)) x)) (*.f64 3/2 (/.f64 (*.f64 (pow.f64 y 2) (exp.f64 1)) (pow.f64 x 2)))))
(+.f64 (exp.f64 1) (+.f64 (*.f64 -13/6 (/.f64 (*.f64 (pow.f64 y 3) (exp.f64 1)) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (exp.f64 1)) x)) (*.f64 3/2 (/.f64 (*.f64 (pow.f64 y 2) (exp.f64 1)) (pow.f64 x 2))))))
1
(+.f64 1 (/.f64 x y))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))))
(+.f64 1 (+.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 (*.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))))
1
(+.f64 1 (/.f64 x y))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (pow.f64 x 3))) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y)))))
(+.f64 (/.f64 x (+.f64 x y)) 0)
(+.f64 0 (/.f64 x (+.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) 2)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x y)))) 1)
(/.f64 1 (/.f64 (+.f64 x y) x))
(/.f64 1 (/.f64 (/.f64 (+.f64 x y) x) 1))
(/.f64 x (+.f64 x y))
(/.f64 (/.f64 1 (+.f64 x y)) (/.f64 1 x))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 x y) x)))
(/.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) x)))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 x y)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
(/.f64 (/.f64 x 1) (+.f64 x y))
(/.f64 (*.f64 x -1) (neg.f64 (+.f64 x y)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) x)))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 x y)))
(pow.f64 (/.f64 (+.f64 x y) x) -1)
(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 (pow.f64 (/.f64 (+.f64 x y) x) 2) -1/2)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
(neg.f64 (/.f64 x (neg.f64 (+.f64 x y))))
(neg.f64 (/.f64 (neg.f64 x) (+.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))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (+.f64 x y)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x y)) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
(log1p.f64 (expm1.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))
(+.f64 0 (/.f64 1 (+.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x y)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.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 y (-.f64 y x) (pow.f64 x 2)))
(*.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)
(neg.f64 (/.f64 -1 (+.f64 x y)))
(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))))
(log1p.f64 (expm1.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))
(+.f64 (/.f64 x (+.f64 x y)) 0)
(+.f64 0 (/.f64 x (+.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) 2)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x y)))) 1)
(*.f64 1 (/.f64 x (+.f64 x y)))
(*.f64 x (/.f64 1 (+.f64 x y)))
(*.f64 (/.f64 1 (+.f64 x y)) x)
(*.f64 (/.f64 1 (+.f64 x y)) (pow.f64 (/.f64 1 x) -1))
(*.f64 (/.f64 x (+.f64 x y)) 1)
(*.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 (cbrt.f64 (pow.f64 (+.f64 x y) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x y))) x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.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 (pow.f64 (+.f64 x y) -1/2) (/.f64 x (sqrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (+.f64 x y) -1/2) (*.f64 (pow.f64 (+.f64 x y) -1/2) x))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.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 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) x)) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) x)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 x (cbrt.f64 (+.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.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) 1) (/.f64 (sqrt.f64 x) (+.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 1 (neg.f64 (+.f64 x y))) (neg.f64 x))
(*.f64 (*.f64 x (cbrt.f64 (pow.f64 (+.f64 x y) -2))) (/.f64 1 (cbrt.f64 (+.f64 x y))))
(*.f64 (*.f64 x (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 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 1 (+.f64 x y)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (pow.f64 x 2)))
(*.f64 (/.f64 x (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (-.f64 x y))
(/.f64 1 (/.f64 (+.f64 x y) x))
(/.f64 1 (/.f64 (/.f64 (+.f64 x y) x) 1))
(/.f64 x (+.f64 x y))
(/.f64 (/.f64 1 (+.f64 x y)) (/.f64 1 x))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 x y) x)))
(/.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) x)))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 x y)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
(/.f64 (/.f64 x 1) (+.f64 x y))
(/.f64 (*.f64 x -1) (neg.f64 (+.f64 x y)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) x)))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 x y)))
(neg.f64 (/.f64 x (neg.f64 (+.f64 x y))))
(neg.f64 (/.f64 (neg.f64 x) (+.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))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (+.f64 x y)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x y)) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
(log1p.f64 (expm1.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))
(+.f64 0 (/.f64 (+.f64 x y) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) x))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) x))) 1)
(*.f64 1 (/.f64 (+.f64 x y) x))
(*.f64 (+.f64 x y) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 x y) x) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2) (cbrt.f64 (/.f64 (+.f64 x y) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (/.f64 (cbrt.f64 (+.f64 x y)) x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) x)) (sqrt.f64 (/.f64 (+.f64 x y) x)))
(*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) x))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 x)))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (+.f64 x y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x y) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x y) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x y) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (+.f64 x y)))
(pow.f64 (/.f64 (+.f64 x y) x) 1)
(pow.f64 (/.f64 x (+.f64 x y)) -1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) x)) 2)
(neg.f64 (/.f64 (+.f64 x y) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (+.f64 x y)) x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) 1))
(+.f64 (/.f64 x (+.f64 x y)) 0)
(+.f64 0 (/.f64 x (+.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) 2)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x y)))) 1)
(*.f64 1 (/.f64 x (+.f64 x y)))
(*.f64 x (/.f64 1 (+.f64 x y)))
(*.f64 (/.f64 1 (+.f64 x y)) x)
(*.f64 (/.f64 1 (+.f64 x y)) (pow.f64 (/.f64 1 x) -1))
(*.f64 (/.f64 x (+.f64 x y)) 1)
(*.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 (cbrt.f64 (pow.f64 (+.f64 x y) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x y))) x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.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 (pow.f64 (+.f64 x y) -1/2) (/.f64 x (sqrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (+.f64 x y) -1/2) (*.f64 (pow.f64 (+.f64 x y) -1/2) x))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.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 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) x)) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) x)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 x (cbrt.f64 (+.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.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) 1) (/.f64 (sqrt.f64 x) (+.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 1 (neg.f64 (+.f64 x y))) (neg.f64 x))
(*.f64 (*.f64 x (cbrt.f64 (pow.f64 (+.f64 x y) -2))) (/.f64 1 (cbrt.f64 (+.f64 x y))))
(*.f64 (*.f64 x (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 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 1 (+.f64 x y)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (pow.f64 x 2)))
(*.f64 (/.f64 x (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (-.f64 x y))
(/.f64 1 (/.f64 (+.f64 x y) x))
(/.f64 1 (/.f64 (/.f64 (+.f64 x y) x) 1))
(/.f64 x (+.f64 x y))
(/.f64 (/.f64 1 (+.f64 x y)) (/.f64 1 x))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 x y) x)))
(/.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) x)))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 x y)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
(/.f64 (/.f64 x 1) (+.f64 x y))
(/.f64 (*.f64 x -1) (neg.f64 (+.f64 x y)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) x)))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 x y)))
(pow.f64 (/.f64 (+.f64 x y) x) -1)
(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 (pow.f64 (/.f64 (+.f64 x y) x) 2) -1/2)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 2)
(neg.f64 (/.f64 x (neg.f64 (+.f64 x y))))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 x y)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 2))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (+.f64 x y)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x y)) 3) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
(log1p.f64 (expm1.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))
(+.f64 0 (exp.f64 (/.f64 x (+.f64 x y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 x (+.f64 x y))))) (cbrt.f64 (exp.f64 (exp.f64 (/.f64 x (+.f64 x y))))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 x (+.f64 x y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 x (+.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 x (+.f64 x y)))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 x (+.f64 x y))))) 1)
(*.f64 1 (exp.f64 (/.f64 x (+.f64 x y))))
(*.f64 (exp.f64 (/.f64 x (+.f64 x y))) 1)
(*.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) 2) (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))))
(pow.f64 (exp.f64 (/.f64 x (+.f64 x y))) 1)
(pow.f64 (exp.f64 (/.f64 1 (+.f64 x y))) x)
(pow.f64 (exp.f64 x) (/.f64 1 (+.f64 x y)))
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) 3)
(pow.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 x y))) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) 2)
(pow.f64 (exp.f64 1) (/.f64 x (+.f64 x y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2)) (cbrt.f64 (/.f64 x (+.f64 x y))))
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) (sqrt.f64 (/.f64 x (+.f64 x y))))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 x y))) 2))
(log.f64 (exp.f64 (exp.f64 (/.f64 x (+.f64 x y)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 x y))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 x (+.f64 x y)))))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 x (+.f64 x y)))))
Outputs
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(fma.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(-.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 3) (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (fma.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
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(exp.f64 (/.f64 x (+.f64 x y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 x (+.f64 x y))))) (cbrt.f64 (exp.f64 (exp.f64 (/.f64 x (+.f64 x y))))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 x (+.f64 x y)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 x (+.f64 x y))))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 x (+.f64 x y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 x (+.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 x (+.f64 x y)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 x (+.f64 x y)))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 x (+.f64 x y))))) 1)
(exp.f64 (/.f64 x (+.f64 x y)))
(*.f64 1 (exp.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (/.f64 x (+.f64 x y)))
(*.f64 (exp.f64 (/.f64 x (+.f64 x y))) 1)
(exp.f64 (/.f64 x (+.f64 x y)))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) 2))
(exp.f64 (/.f64 x (+.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) 2) (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))))
(exp.f64 (/.f64 x (+.f64 x y)))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))))
(exp.f64 (/.f64 x (+.f64 x y)))
(pow.f64 (exp.f64 (/.f64 x (+.f64 x y))) 1)
(exp.f64 (/.f64 x (+.f64 x y)))
(pow.f64 (exp.f64 (/.f64 1 (+.f64 x y))) x)
(exp.f64 (/.f64 x (+.f64 x y)))
(pow.f64 (exp.f64 x) (/.f64 1 (+.f64 x y)))
(exp.f64 (/.f64 x (+.f64 x y)))
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) 3)
(exp.f64 (/.f64 x (+.f64 x y)))
(pow.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 x y))) 3) 1/3)
(exp.f64 (/.f64 x (+.f64 x y)))
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x y)))) 2)
(exp.f64 (/.f64 x (+.f64 x y)))
(pow.f64 (exp.f64 1) (/.f64 x (+.f64 x y)))
(exp.f64 (/.f64 x (+.f64 x y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) 2)) (cbrt.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (/.f64 x (+.f64 x y)))
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 x (+.f64 x y)))) (sqrt.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (/.f64 x (+.f64 x y)))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 x y))) 2))
(exp.f64 (/.f64 x (+.f64 x y)))
(log.f64 (exp.f64 (exp.f64 (/.f64 x (+.f64 x y)))))
(exp.f64 (/.f64 x (+.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 x (+.f64 x y))))))
(exp.f64 (/.f64 x (+.f64 x y)))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 x y))) 3))
(exp.f64 (/.f64 x (+.f64 x y)))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 x (+.f64 x y)))))
(exp.f64 (/.f64 x (+.f64 x y)))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 x (+.f64 x y)))))
(exp.f64 (/.f64 x (+.f64 x y)))

eval254.0ms (5.5%)

Compiler

Compiled 6368 to 3267 computations (48.7% saved)

prune61.0ms (1.3%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New4162418
Fresh101
Picked145
Done011
Total4187425
Accuracy
100.0%
Counts
425 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(pow.f64 (+.f64 1 (/.f64 y x)) -1)
100.0%
(/.f64 x (+.f64 x y))
49.7%
(/.f64 x y)
99.5%
(/.f64 1 (/.f64 (+.f64 x y) x))
99.6%
(*.f64 (/.f64 1 (+.f64 x y)) x)
63.5%
(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
51.1%
1
Compiler

Compiled 51 to 35 computations (31.4% saved)

localize51.0ms (1.1%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 1 (/.f64 y x))
99.5%
(pow.f64 (+.f64 1 (/.f64 y x)) -1)
100.0%
(/.f64 (+.f64 x y) x)
99.5%
(/.f64 1 (/.f64 (+.f64 x y) x))
Compiler

Compiled 40 to 17 computations (57.5% saved)

series14.0ms (0.3%)

Counts
3 → 54
Calls

18 calls:

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

rewrite122.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
1608×prod-diff
1126×log1p-expm1-u
676×expm1-log1p-u
118×associate-*r*
95×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01572
121766
2315266
Stop Event
node limit
Counts
3 → 101
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (+.f64 x y) x))
(pow.f64 (+.f64 1 (/.f64 y x)) -1)
(+.f64 1 (/.f64 y x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x y)))) 1)
(*.f64 1 (/.f64 x (+.f64 x y)))
(*.f64 x (/.f64 1 (+.f64 x y)))
(*.f64 (/.f64 x (+.f64 x y)) 1)
(*.f64 -1 (/.f64 1 (/.f64 (+.f64 x y) (neg.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) -2)) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (+.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 x y)))
(*.f64 (/.f64 1 (+.f64 x y)) x)
(*.f64 (/.f64 1 (+.f64 x y)) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) x)) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) x)) -1))
(*.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 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.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) 1) (/.f64 (sqrt.f64 x) (+.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 (sqrt.f64 x) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x y))))
(*.f64 (*.f64 (/.f64 1 (+.f64 x y)) 1) x)
(*.f64 (*.f64 (/.f64 1 (+.f64 x y)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 1 (+.f64 x y)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(*.f64 (/.f64 x (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (-.f64 x y))
(*.f64 (/.f64 1 (neg.f64 (+.f64 x y))) (neg.f64 x))
(pow.f64 (/.f64 (+.f64 x y) x) -1)
(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)
(neg.f64 (/.f64 -1 (/.f64 (+.f64 x y) x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) -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))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (log.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) 1))
(exp.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (/.f64 y x))))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (/.f64 y x))))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 y x))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (/.f64 y x)))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 y x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 y x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (/.f64 y x)))))
(*.f64 (pow.f64 (+.f64 1 (/.f64 y x)) -1/2) (pow.f64 (+.f64 1 (/.f64 y x)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 y x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 y x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 y x))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 y x))) -1))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (/.f64 y x) 3))) (+.f64 1 (-.f64 (pow.f64 (/.f64 y x) 2) (/.f64 y x))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 y x) 2))) (-.f64 1 (/.f64 y x)))
(/.f64 1 (+.f64 1 (/.f64 y x)))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 y x)) 1))
(/.f64 -1 (neg.f64 (+.f64 1 (/.f64 y x))))
(/.f64 (pow.f64 (+.f64 1 (/.f64 y x)) -1/2) (sqrt.f64 (+.f64 1 (/.f64 y x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 y x))) 2)) (cbrt.f64 (+.f64 1 (/.f64 y x))))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 y x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (/.f64 y x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (/.f64 y x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 y x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (/.f64 y x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (/.f64 y x)))))
(exp.f64 (neg.f64 (log1p.f64 (/.f64 y x))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 y x))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 y x)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (/.f64 y x))) (/.f64 (pow.f64 (/.f64 y x) 2) (-.f64 1 (/.f64 y x))))
(*.f64 1 (+.f64 1 (/.f64 y x)))
(*.f64 (+.f64 1 (/.f64 y x)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 y x))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 y x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 y x))) 2) (cbrt.f64 (+.f64 1 (/.f64 y x))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 y x))) (sqrt.f64 (+.f64 1 (/.f64 y x))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 y x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 y x) 2) (/.f64 y x)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (/.f64 1 (-.f64 1 (/.f64 y x))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 y x) 2) (/.f64 y x))) (+.f64 1 (pow.f64 (/.f64 y x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 y x)) (-.f64 1 (pow.f64 (/.f64 y x) 2))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 y x) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 y x) 2) (/.f64 y x))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 y x) 3)) (+.f64 (pow.f64 (/.f64 y x) 2) (-.f64 1 (/.f64 y x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (-.f64 1 (/.f64 y x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 y x) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 y x) 2) (/.f64 y x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2))) (neg.f64 (-.f64 1 (/.f64 y x))))
(/.f64 (-.f64 (pow.f64 (/.f64 y x) 2) 1) (-.f64 (/.f64 y x) 1))
(pow.f64 (+.f64 1 (/.f64 y x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 y x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 y x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 y x))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (/.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))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 y x))))
(exp.f64 (log1p.f64 (/.f64 y x)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 y x)) 1))
(fma.f64 1 (/.f64 y x) 1)
(fma.f64 y (/.f64 1 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (cbrt.f64 (/.f64 y x)) 1)
(fma.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)) 1)

simplify85.0ms (1.8%)

Algorithm
egg-herbie
Rules
932×fma-define
880×unswap-sqr
822×associate-/r*
742×associate-*r/
588×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02706228
16615962
220775209
Stop Event
node limit
Counts
155 → 145
Calls
Call 1
Inputs
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
1
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
1
1
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x y)))) 1)
(*.f64 1 (/.f64 x (+.f64 x y)))
(*.f64 x (/.f64 1 (+.f64 x y)))
(*.f64 (/.f64 x (+.f64 x y)) 1)
(*.f64 -1 (/.f64 1 (/.f64 (+.f64 x y) (neg.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) -2)) (cbrt.f64 (/.f64 x (+.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (+.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 x y)))
(*.f64 (/.f64 1 (+.f64 x y)) x)
(*.f64 (/.f64 1 (+.f64 x y)) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) x)) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) x)) -1))
(*.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 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.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) 1) (/.f64 (sqrt.f64 x) (+.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 (sqrt.f64 x) (sqrt.f64 (+.f64 x y))) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x y))))
(*.f64 (*.f64 (/.f64 1 (+.f64 x y)) 1) x)
(*.f64 (*.f64 (/.f64 1 (+.f64 x y)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 1 (+.f64 x y)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(*.f64 (/.f64 x (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (-.f64 x y))
(*.f64 (/.f64 1 (neg.f64 (+.f64 x y))) (neg.f64 x))
(pow.f64 (/.f64 (+.f64 x y) x) -1)
(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)
(neg.f64 (/.f64 -1 (/.f64 (+.f64 x y) x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) -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))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (log.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) 1))
(exp.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (/.f64 y x))))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (/.f64 y x))))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 y x))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (/.f64 y x)))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 y x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 y x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (/.f64 y x)))))
(*.f64 (pow.f64 (+.f64 1 (/.f64 y x)) -1/2) (pow.f64 (+.f64 1 (/.f64 y x)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 y x))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 y x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 y x))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 y x))) -1))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (/.f64 y x) 3))) (+.f64 1 (-.f64 (pow.f64 (/.f64 y x) 2) (/.f64 y x))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 y x) 2))) (-.f64 1 (/.f64 y x)))
(/.f64 1 (+.f64 1 (/.f64 y x)))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 y x)) 1))
(/.f64 -1 (neg.f64 (+.f64 1 (/.f64 y x))))
(/.f64 (pow.f64 (+.f64 1 (/.f64 y x)) -1/2) (sqrt.f64 (+.f64 1 (/.f64 y x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 y x))) 2)) (cbrt.f64 (+.f64 1 (/.f64 y x))))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 y x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (/.f64 y x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (/.f64 y x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 y x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (/.f64 y x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (/.f64 y x)))))
(exp.f64 (neg.f64 (log1p.f64 (/.f64 y x))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 y x))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 y x)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (/.f64 y x))) (/.f64 (pow.f64 (/.f64 y x) 2) (-.f64 1 (/.f64 y x))))
(*.f64 1 (+.f64 1 (/.f64 y x)))
(*.f64 (+.f64 1 (/.f64 y x)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 y x))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 y x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 y x))) 2) (cbrt.f64 (+.f64 1 (/.f64 y x))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 y x))) (sqrt.f64 (+.f64 1 (/.f64 y x))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 y x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 y x) 2) (/.f64 y x)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (/.f64 1 (-.f64 1 (/.f64 y x))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 y x) 2) (/.f64 y x))) (+.f64 1 (pow.f64 (/.f64 y x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 y x)) (-.f64 1 (pow.f64 (/.f64 y x) 2))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 y x) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 y x) 2) (/.f64 y x))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 y x) 3)) (+.f64 (pow.f64 (/.f64 y x) 2) (-.f64 1 (/.f64 y x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (-.f64 1 (/.f64 y x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 y x) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 y x) 2) (/.f64 y x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2))) (neg.f64 (-.f64 1 (/.f64 y x))))
(/.f64 (-.f64 (pow.f64 (/.f64 y x) 2) 1) (-.f64 (/.f64 y x) 1))
(pow.f64 (+.f64 1 (/.f64 y x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 y x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 y x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 y x))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (/.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))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 y x))))
(exp.f64 (log1p.f64 (/.f64 y x)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 y x)) 1))
(fma.f64 1 (/.f64 y x) 1)
(fma.f64 y (/.f64 1 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (cbrt.f64 (/.f64 y x)) 1)
(fma.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)) 1)
Outputs
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(fma.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(-.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (-.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(+.f64 (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 3) (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (fma.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 x (/.f64 x (pow.f64 y 2)) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (-.f64 1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (pow.f64 (/.f64 y x) 2) (+.f64 -1 (/.f64 y x)))
(fma.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)) 1)
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (-.f64 1 (/.f64 y x)) (fma.f64 -1 (pow.f64 (/.f64 y x) 3) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (-.f64 (pow.f64 (/.f64 y x) 2) (pow.f64 (/.f64 y x) 3)) (-.f64 1 (/.f64 y x)))
(-.f64 (fma.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)) 1) (pow.f64 (/.f64 y x) 3))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (-.f64 1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (pow.f64 (/.f64 y x) 2) (+.f64 -1 (/.f64 y x)))
(fma.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)) 1)
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (-.f64 1 (/.f64 y x)) (fma.f64 -1 (pow.f64 (/.f64 y x) 3) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (-.f64 (pow.f64 (/.f64 y x) 2) (pow.f64 (/.f64 y x) 3)) (-.f64 1 (/.f64 y x)))
(-.f64 (fma.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)) 1) (pow.f64 (/.f64 y x) 3))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (-.f64 1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (pow.f64 (/.f64 y x) 2) (+.f64 -1 (/.f64 y x)))
(fma.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)) 1)
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (-.f64 1 (/.f64 y x)) (fma.f64 -1 (pow.f64 (/.f64 y x) 3) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (-.f64 (pow.f64 (/.f64 y x) 2) (pow.f64 (/.f64 y x) 3)) (-.f64 1 (/.f64 y x)))
(-.f64 (fma.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)) 1) (pow.f64 (/.f64 y x) 3))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(fma.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(-.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (-.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(+.f64 (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 3) (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (fma.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 x (/.f64 x (pow.f64 y 2)) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(fma.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(-.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (-.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(+.f64 (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 3) (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (fma.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 x (/.f64 x (pow.f64 y 2)) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (-.f64 1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(-.f64 (pow.f64 (/.f64 y x) 2) (+.f64 -1 (/.f64 y x)))
(fma.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)) 1)
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (-.f64 1 (/.f64 y x)) (fma.f64 -1 (pow.f64 (/.f64 y x) 3) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (-.f64 (pow.f64 (/.f64 y x) 2) (pow.f64 (/.f64 y x) 3)) (-.f64 1 (/.f64 y x)))
(-.f64 (fma.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)) 1) (pow.f64 (/.f64 y x) 3))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(fma.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))
(-.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(fma.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (-.f64 (/.f64 x y) (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(+.f64 (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 3) (/.f64 (pow.f64 x 2) (pow.f64 y 2))))
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1
1
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(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 -1 (/.f64 y x)))))
(/.f64 -1 (-.f64 -1 (/.f64 y x)))
(/.f64 -1 (neg.f64 (+.f64 1 (/.f64 y x))))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (/.f64 y x)))))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 -1 (/.f64 y x)))))
(/.f64 -1 (-.f64 -1 (/.f64 y x)))
(/.f64 (pow.f64 (+.f64 1 (/.f64 y x)) -1/2) (sqrt.f64 (+.f64 1 (/.f64 y x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 y x))) 2)) (cbrt.f64 (+.f64 1 (/.f64 y x))))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (/.f64 y x)))))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 -1 (/.f64 y x)))))
(/.f64 -1 (-.f64 -1 (/.f64 y x)))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 y x)) -2))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (/.f64 y x)))))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 -1 (/.f64 y x)))))
(/.f64 -1 (-.f64 -1 (/.f64 y x)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (/.f64 y x)))))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (/.f64 y x)))))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 -1 (/.f64 y x)))))
(/.f64 -1 (-.f64 -1 (/.f64 y x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (/.f64 y x))))))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (/.f64 y x)))))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 -1 (/.f64 y x)))))
(/.f64 -1 (-.f64 -1 (/.f64 y x)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 y x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (/.f64 y x)))))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 -1 (/.f64 y x)))))
(/.f64 -1 (-.f64 -1 (/.f64 y x)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (/.f64 y x)))))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 -1 (/.f64 y x)))))
(/.f64 -1 (-.f64 -1 (/.f64 y x)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (/.f64 y x)))))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (/.f64 y x)))))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 -1 (/.f64 y x)))))
(/.f64 -1 (-.f64 -1 (/.f64 y x)))
(exp.f64 (neg.f64 (log1p.f64 (/.f64 y x))))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (/.f64 y x)))))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 -1 (/.f64 y x)))))
(/.f64 -1 (-.f64 -1 (/.f64 y x)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 y x))) 1))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (/.f64 y x)))))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 -1 (/.f64 y x)))))
(/.f64 -1 (-.f64 -1 (/.f64 y x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 y x)))) 1)
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 y x))))
(+.f64 -1 (+.f64 2 (/.f64 y x)))
(+.f64 1 (/.f64 y x))
(-.f64 (/.f64 1 (-.f64 1 (/.f64 y x))) (/.f64 (pow.f64 (/.f64 y x) 2) (-.f64 1 (/.f64 y x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (-.f64 1 (/.f64 y x)))
(*.f64 1 (+.f64 1 (/.f64 y x)))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 y x))))
(+.f64 -1 (+.f64 2 (/.f64 y x)))
(+.f64 1 (/.f64 y x))
(*.f64 (+.f64 1 (/.f64 y x)) 1)
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 y x))))
(+.f64 -1 (+.f64 2 (/.f64 y x)))
(+.f64 1 (/.f64 y x))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 y x))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 y x))) 2))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 y x))))
(+.f64 -1 (+.f64 2 (/.f64 y x)))
(+.f64 1 (/.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 y x))) 2) (cbrt.f64 (+.f64 1 (/.f64 y x))))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 y x))))
(+.f64 -1 (+.f64 2 (/.f64 y x)))
(+.f64 1 (/.f64 y x))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 y x))) (sqrt.f64 (+.f64 1 (/.f64 y x))))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 y x))))
(+.f64 -1 (+.f64 2 (/.f64 y x)))
(+.f64 1 (/.f64 y x))
(*.f64 (+.f64 1 (pow.f64 (/.f64 y x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 y x) 2) (/.f64 y x)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 y x) 3)) (-.f64 (pow.f64 (/.f64 y x) 2) (+.f64 -1 (/.f64 y x))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 y x) 3)) (fma.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)) 1))
(*.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (/.f64 1 (-.f64 1 (/.f64 y x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (-.f64 1 (/.f64 y x)))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 y x) 2) (/.f64 y x))) (+.f64 1 (pow.f64 (/.f64 y x) 3))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 y x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 y x) 2) (/.f64 y x)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 y x) 3)) (-.f64 (pow.f64 (/.f64 y x) 2) (+.f64 -1 (/.f64 y x))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 y x) 3)) (fma.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)) 1))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 y x)) (-.f64 1 (pow.f64 (/.f64 y x) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (-.f64 1 (/.f64 y x)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 y x) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 y x) 2) (/.f64 y x))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 y x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 y x) 2) (/.f64 y x)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 y x) 3)) (-.f64 (pow.f64 (/.f64 y x) 2) (+.f64 -1 (/.f64 y x))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 y x) 3)) (fma.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)) 1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 y x) 3)) (+.f64 (pow.f64 (/.f64 y x) 2) (-.f64 1 (/.f64 y x))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 y x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 y x) 2) (/.f64 y x)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 y x) 3)) (-.f64 (pow.f64 (/.f64 y x) 2) (+.f64 -1 (/.f64 y x))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 y x) 3)) (fma.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (-.f64 1 (/.f64 y x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 y x) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 y x) 2) (/.f64 y x)))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 y x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 y x) 2) (/.f64 y x)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 y x) 3)) (-.f64 (pow.f64 (/.f64 y x) 2) (+.f64 -1 (/.f64 y x))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 y x) 3)) (fma.f64 (/.f64 y x) (+.f64 -1 (/.f64 y x)) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2))) (neg.f64 (-.f64 1 (/.f64 y x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (-.f64 1 (/.f64 y x)))
(/.f64 (-.f64 (pow.f64 (/.f64 y x) 2) 1) (-.f64 (/.f64 y x) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)) (-.f64 1 (/.f64 y x)))
(pow.f64 (+.f64 1 (/.f64 y x)) 1)
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 y x))))
(+.f64 -1 (+.f64 2 (/.f64 y x)))
(+.f64 1 (/.f64 y x))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 y x))) 3)
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 y x))))
(+.f64 -1 (+.f64 2 (/.f64 y x)))
(+.f64 1 (/.f64 y x))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 y x)) 3) 1/3)
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 y x))))
(+.f64 -1 (+.f64 2 (/.f64 y x)))
(+.f64 1 (/.f64 y x))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 y x))) 2)
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 y x))))
(+.f64 -1 (+.f64 2 (/.f64 y x)))
(+.f64 1 (/.f64 y x))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 y x)) 2))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 y x))))
(+.f64 -1 (+.f64 2 (/.f64 y x)))
(+.f64 1 (/.f64 y x))
(log.f64 (exp.f64 (+.f64 1 (/.f64 y x))))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 y x))))
(+.f64 -1 (+.f64 2 (/.f64 y x)))
(+.f64 1 (/.f64 y x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 y x)))))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 y x))))
(+.f64 -1 (+.f64 2 (/.f64 y x)))
(+.f64 1 (/.f64 y x))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 y x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 y x))))
(+.f64 -1 (+.f64 2 (/.f64 y x)))
(+.f64 1 (/.f64 y x))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 y x))))
(+.f64 -1 (+.f64 2 (/.f64 y x)))
(+.f64 1 (/.f64 y x))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 y x))))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 y x))))
(+.f64 -1 (+.f64 2 (/.f64 y x)))
(+.f64 1 (/.f64 y x))
(exp.f64 (log1p.f64 (/.f64 y x)))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 y x))))
(+.f64 -1 (+.f64 2 (/.f64 y x)))
(+.f64 1 (/.f64 y x))
(exp.f64 (*.f64 (log1p.f64 (/.f64 y x)) 1))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 y x))))
(+.f64 -1 (+.f64 2 (/.f64 y x)))
(+.f64 1 (/.f64 y x))
(fma.f64 1 (/.f64 y x) 1)
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 y x))))
(+.f64 -1 (+.f64 2 (/.f64 y x)))
(+.f64 1 (/.f64 y x))
(fma.f64 y (/.f64 1 x) 1)
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 y x))))
(+.f64 -1 (+.f64 2 (/.f64 y x)))
(+.f64 1 (/.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (cbrt.f64 (/.f64 y x)) 1)
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 y x))))
(+.f64 -1 (+.f64 2 (/.f64 y x)))
(+.f64 1 (/.f64 y x))
(fma.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)) 1)
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 y x))))
(+.f64 -1 (+.f64 2 (/.f64 y x)))
(+.f64 1 (/.f64 y x))

eval198.0ms (4.3%)

Compiler

Compiled 2525 to 1270 computations (49.7% saved)

prune28.0ms (0.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1952197
Fresh000
Picked202
Done235
Total1995204
Accuracy
100.0%
Counts
204 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 x (+.f64 x y))
49.7%
(/.f64 x y)
99.5%
(/.f64 1 (+.f64 1 (/.f64 y x)))
72.0%
(exp.f64 (neg.f64 (log1p.f64 (/.f64 y x))))
51.1%
1
Compiler

Compiled 32 to 23 computations (28.1% saved)

localize167.0ms (3.6%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 1 (/.f64 y x))
99.6%
(/.f64 1 (+.f64 1 (/.f64 y x)))
98.5%
(exp.f64 (neg.f64 (log1p.f64 (/.f64 y x))))
95.1%
(log1p.f64 (/.f64 y x))
Compiler

Compiled 41 to 14 computations (65.9% saved)

series17.0ms (0.4%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(exp.f64 (neg.f64 (log1p.f64 (/.f64 y x))))
2.0ms
y
@-inf
(exp.f64 (neg.f64 (log1p.f64 (/.f64 y x))))
1.0ms
y
@inf
(exp.f64 (neg.f64 (log1p.f64 (/.f64 y x))))
1.0ms
x
@0
(exp.f64 (neg.f64 (log1p.f64 (/.f64 y x))))
1.0ms
y
@0
(log1p.f64 (/.f64 y x))

rewrite169.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
1374×unpow-prod-down
662×prod-diff
643×log1p-expm1-u
643×expm1-log1p-u
640×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01567
119055
2222655
Stop Event
node limit
Counts
3 → 367
Calls
Call 1
Inputs
(log1p.f64 (/.f64 y x))
(exp.f64 (neg.f64 (log1p.f64 (/.f64 y x))))
(/.f64 1 (+.f64 1 (/.f64 y x)))
Outputs
(+.f64 (log1p.f64 (/.f64 y x)) 0)
(+.f64 0 (log1p.f64 (/.f64 y x)))
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 (+.f64 -1 (neg.f64 (/.f64 y x))))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (/.f64 y x)))) (*.f64 1/3 (log1p.f64 (/.f64 y x))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (/.f64 y x)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 y x) 1)) 1)))
(+.f64 (*.f64 1/3 (log1p.f64 (/.f64 y x))) (*.f64 2 (*.f64 1/3 (log1p.f64 (/.f64 y x)))))
(+.f64 (*.f64 1/2 (log1p.f64 (/.f64 y x))) (*.f64 1/2 (log1p.f64 (/.f64 y x))))
(+.f64 (*.f64 1/2 (log1p.f64 (/.f64 y x))) (log.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 y x))) 1)))
(+.f64 (log1p.f64 (pow.f64 (/.f64 y x) 3)) (log.f64 (/.f64 1 (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) 1) 1))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 y x) 2))) (log.f64 (/.f64 1 (-.f64 1 (/.f64 y x)))))
(+.f64 (log.f64 (/.f64 1 (+.f64 1 (pow.f64 (/.f64 y x) 3)))) (log1p.f64 (-.f64 (pow.f64 (/.f64 y x) 2) (/.f64 y x))))
(+.f64 (log.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 y x) 2)))) (log1p.f64 (neg.f64 (/.f64 y x))))
(-.f64 (log1p.f64 (/.f64 y x)) 0)
(-.f64 0 (log1p.f64 (/.f64 y x)))
(-.f64 0 (log.f64 (neg.f64 (+.f64 -1 (neg.f64 (/.f64 y x))))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) 1) 1) (+.f64 1 (pow.f64 (/.f64 y x) 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 1 (/.f64 y x)) (-.f64 1 (pow.f64 (/.f64 y x) 2)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 y x)))) 1)
(-.f64 (log.f64 -1) (+.f64 (log.f64 -1) (log1p.f64 (/.f64 y x))))
(-.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (/.f64 y x)))) (*.f64 1/3 (log1p.f64 (/.f64 y x))))
(-.f64 (*.f64 1/2 (log1p.f64 (/.f64 y x))) (*.f64 1/2 (log1p.f64 (/.f64 y x))))
(-.f64 (+.f64 (log.f64 -1) (log1p.f64 (/.f64 y x))) (log.f64 -1))
(-.f64 (log1p.f64 (pow.f64 (/.f64 y x) 3)) (log1p.f64 (-.f64 (pow.f64 (/.f64 y x) 2) (/.f64 y x))))
(-.f64 (log1p.f64 (pow.f64 (/.f64 y x) 3)) (log.f64 (+.f64 (pow.f64 (/.f64 y x) 2) (-.f64 1 (/.f64 y x)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 y x) 2))) (log1p.f64 (neg.f64 (/.f64 y x))))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 y x) 3)))) (log.f64 (neg.f64 (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) 1) 1))))
(-.f64 (log.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)))) (log.f64 (neg.f64 (-.f64 1 (/.f64 y x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (/.f64 y x) 2) 1)) (log.f64 (-.f64 (/.f64 y x) 1)))
(*.f64 (log1p.f64 (/.f64 y x)) 1)
(*.f64 (log1p.f64 (/.f64 y x)) -1)
(*.f64 (log1p.f64 (/.f64 y x)) (log.f64 (exp.f64 1)))
(*.f64 (log1p.f64 (/.f64 y x)) (log.f64 (exp.f64 -1)))
(*.f64 1 (log1p.f64 (/.f64 y x)))
(*.f64 -1 (log1p.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y x))) 2))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 y x))) (pow.f64 (pow.f64 (log1p.f64 (/.f64 y x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y x))) 2) (cbrt.f64 (log1p.f64 (/.f64 y x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y x))) 2) (neg.f64 (cbrt.f64 (log1p.f64 (/.f64 y x)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y x))) 2) (pow.f64 (neg.f64 (cbrt.f64 (log1p.f64 (/.f64 y x)))) 1))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 y x)))) 2))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 y x))) (sqrt.f64 (log1p.f64 (/.f64 y x))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 y x))) (neg.f64 (sqrt.f64 (log1p.f64 (/.f64 y x)))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 y x))) (pow.f64 (neg.f64 (sqrt.f64 (log1p.f64 (/.f64 y x)))) 1))
(*.f64 3 (*.f64 1/3 (log1p.f64 (/.f64 y x))))
(*.f64 2 (*.f64 1/2 (log1p.f64 (/.f64 y x))))
(*.f64 1/3 (*.f64 3 (log1p.f64 (/.f64 y x))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y x))) 2)) (cbrt.f64 (log1p.f64 (/.f64 y x))))
(*.f64 (neg.f64 (sqrt.f64 (log1p.f64 (/.f64 y x)))) (sqrt.f64 (log1p.f64 (/.f64 y x))))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y x))) 2)) (cbrt.f64 (log1p.f64 (/.f64 y x))))
(*.f64 (*.f64 -1 (sqrt.f64 (log1p.f64 (/.f64 y x)))) (sqrt.f64 (log1p.f64 (/.f64 y x))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (/.f64 y x)))
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(fma.f64 (/.f64 y x) 1 1)
(fma.f64 1 (/.f64 y x) 1)
(fma.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (cbrt.f64 (/.f64 y x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (cbrt.f64 y) x) 1)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 x)) 1)
(fma.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)) 1)
(fma.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x) 1)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 x)) 1)
(fma.f64 (neg.f64 y) (/.f64 1 (neg.f64 x)) 1)
(fma.f64 (/.f64 1 x) y 1)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)) 1)
(fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) x) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 y x)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 y) (sqrt.f64 x)) 1)
(fma.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) x) 1)
(fma.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 x)) 1)

simplify305.0ms (6.7%)

Algorithm
egg-herbie
Rules
998×log-prod
842×associate-*r*
746×associate-*l*
616×sqr-pow
474×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
068020318
1182019093
2712318809
Stop Event
node limit
Counts
439 → 414
Calls
Call 1
Inputs
(/.f64 y x)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 y x))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x))))
(+.f64 (log.f64 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (/.f64 x y)))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 x y)))))
(+.f64 (log.f64 (neg.f64 (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 -1 y))))
(+.f64 (log.f64 (neg.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (/.f64 x y)))
(+.f64 (log.f64 (neg.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))))
(+.f64 (log.f64 (neg.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 x y)))))
(+.f64 (log.f64 y) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 y) (+.f64 (*.f64 -1 (log.f64 x)) (/.f64 x y)))
(+.f64 (log.f64 y) (+.f64 (*.f64 -1 (log.f64 x)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))))
(+.f64 (log.f64 y) (+.f64 (*.f64 -1 (log.f64 x)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 x y)))))
(/.f64 y x)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 y x))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x))))
(/.f64 y x)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 y x))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (*.f64 -1 (/.f64 (*.f64 x (exp.f64 (neg.f64 (+.f64 (log.f64 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))) y)))
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 x (exp.f64 (neg.f64 (+.f64 (log.f64 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))) y)) (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 (neg.f64 (+.f64 (log.f64 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))) (pow.f64 y 2))))
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 x (exp.f64 (neg.f64 (+.f64 (log.f64 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))) y)) (+.f64 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1/6 (pow.f64 x 3))))) (pow.f64 y 3)) (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 (neg.f64 (+.f64 (log.f64 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))) (pow.f64 y 2)))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 -1 y))))))
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 -1 y)))))) (*.f64 -1 (/.f64 (*.f64 x (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 -1 y))))))) y)))
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 -1 y)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 x (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 -1 y))))))) y)) (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 -1 y))))))) (pow.f64 y 2))))
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 -1 y)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 x (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 -1 y))))))) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 -1 y)))))) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 3))))) (pow.f64 y 3))) (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 -1 y))))))) (pow.f64 y 2)))))
(exp.f64 (neg.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 x)))))
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 x))))) (*.f64 -1 (/.f64 (*.f64 x (exp.f64 (neg.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 x)))))) y)))
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 x))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 x (exp.f64 (neg.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 x)))))) y)) (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 (neg.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 x)))))) (pow.f64 y 2))))
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 x))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 x (exp.f64 (neg.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 x)))))) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 3) (exp.f64 (neg.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 x)))))) (pow.f64 y 3))) (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 (neg.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 x)))))) (pow.f64 y 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/3 (pow.f64 y 3)) (*.f64 1/2 (pow.f64 y 3)))) (pow.f64 x 3))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (log1p.f64 (/.f64 y x)) 0)
(+.f64 0 (log1p.f64 (/.f64 y x)))
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 (+.f64 -1 (neg.f64 (/.f64 y x))))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (/.f64 y x)))) (*.f64 1/3 (log1p.f64 (/.f64 y x))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (/.f64 y x)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 y x) 1)) 1)))
(+.f64 (*.f64 1/3 (log1p.f64 (/.f64 y x))) (*.f64 2 (*.f64 1/3 (log1p.f64 (/.f64 y x)))))
(+.f64 (*.f64 1/2 (log1p.f64 (/.f64 y x))) (*.f64 1/2 (log1p.f64 (/.f64 y x))))
(+.f64 (*.f64 1/2 (log1p.f64 (/.f64 y x))) (log.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 y x))) 1)))
(+.f64 (log1p.f64 (pow.f64 (/.f64 y x) 3)) (log.f64 (/.f64 1 (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) 1) 1))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 y x) 2))) (log.f64 (/.f64 1 (-.f64 1 (/.f64 y x)))))
(+.f64 (log.f64 (/.f64 1 (+.f64 1 (pow.f64 (/.f64 y x) 3)))) (log1p.f64 (-.f64 (pow.f64 (/.f64 y x) 2) (/.f64 y x))))
(+.f64 (log.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 y x) 2)))) (log1p.f64 (neg.f64 (/.f64 y x))))
(-.f64 (log1p.f64 (/.f64 y x)) 0)
(-.f64 0 (log1p.f64 (/.f64 y x)))
(-.f64 0 (log.f64 (neg.f64 (+.f64 -1 (neg.f64 (/.f64 y x))))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) 1) 1) (+.f64 1 (pow.f64 (/.f64 y x) 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 1 (/.f64 y x)) (-.f64 1 (pow.f64 (/.f64 y x) 2)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 y x)))) 1)
(-.f64 (log.f64 -1) (+.f64 (log.f64 -1) (log1p.f64 (/.f64 y x))))
(-.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (/.f64 y x)))) (*.f64 1/3 (log1p.f64 (/.f64 y x))))
(-.f64 (*.f64 1/2 (log1p.f64 (/.f64 y x))) (*.f64 1/2 (log1p.f64 (/.f64 y x))))
(-.f64 (+.f64 (log.f64 -1) (log1p.f64 (/.f64 y x))) (log.f64 -1))
(-.f64 (log1p.f64 (pow.f64 (/.f64 y x) 3)) (log1p.f64 (-.f64 (pow.f64 (/.f64 y x) 2) (/.f64 y x))))
(-.f64 (log1p.f64 (pow.f64 (/.f64 y x) 3)) (log.f64 (+.f64 (pow.f64 (/.f64 y x) 2) (-.f64 1 (/.f64 y x)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 y x) 2))) (log1p.f64 (neg.f64 (/.f64 y x))))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 y x) 3)))) (log.f64 (neg.f64 (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) 1) 1))))
(-.f64 (log.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 y x) 2)))) (log.f64 (neg.f64 (-.f64 1 (/.f64 y x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (/.f64 y x) 2) 1)) (log.f64 (-.f64 (/.f64 y x) 1)))
(*.f64 (log1p.f64 (/.f64 y x)) 1)
(*.f64 (log1p.f64 (/.f64 y x)) -1)
(*.f64 (log1p.f64 (/.f64 y x)) (log.f64 (exp.f64 1)))
(*.f64 (log1p.f64 (/.f64 y x)) (log.f64 (exp.f64 -1)))
(*.f64 1 (log1p.f64 (/.f64 y x)))
(*.f64 -1 (log1p.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 y x))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y x))) 2))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 y x))) (pow.f64 (pow.f64 (log1p.f64 (/.f64 y x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y x))) 2) (cbrt.f64 (log1p.f64 (/.f64 y x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y x))) 2) (neg.f64 (cbrt.f64 (log1p.f64 (/.f64 y x)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y x))) 2) (pow.f64 (neg.f64 (cbrt.f64 (log1p.f64 (/.f64 y x)))) 1))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 y x)))) 2))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 y x))) (sqrt.f64 (log1p.f64 (/.f64 y x))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 y x))) (neg.f64 (sqrt.f64 (log1p.f64 (/.f64 y x)))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 y x))) (pow.f64 (neg.f64 (sqrt.f64 (log1p.f64 (/.f64 y x)))) 1))
(*.f64 3 (*.f64 1/3 (log1p.f64 (/.f64 y x))))
(*.f64 2 (*.f64 1/2 (log1p.f64 (/.f64 y x))))
(*.f64 1/3 (*.f64 3 (log1p.f64 (/.f64 y x))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y x))) 2)) (cbrt.f64 (log1p.f64 (/.f64 y x))))
(*.f64 (neg.f64 (sqrt.f64 (log1p.f64 (/.f64 y x)))) (sqrt.f64 (log1p.f64 (/.f64 y x))))
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(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (/.f64 y x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (/.f64 y x))) 2))
(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (log1p.f64 (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (exp.f64 -1)) (log1p.f64 (/.f64 y x))))
(fma.f64 y (/.f64 1 x) 1)
(fma.f64 (/.f64 y x) 1 1)
(fma.f64 1 (/.f64 y x) 1)
(fma.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (cbrt.f64 (/.f64 y x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (cbrt.f64 y) x) 1)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 x)) 1)
(fma.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)) 1)
(fma.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x) 1)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 x)) 1)
(fma.f64 (neg.f64 y) (/.f64 1 (neg.f64 x)) 1)
(fma.f64 (/.f64 1 x) y 1)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)) 1)
(fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) x) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 y x)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 y) (sqrt.f64 x)) 1)
(fma.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) x) 1)
(fma.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 x)) 1)
Outputs
(/.f64 y x)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 y x))
(fma.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (/.f64 y x))
(fma.f64 -1/2 (pow.f64 (/.f64 y x) 2) (/.f64 y x))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(fma.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (fma.f64 1/3 (pow.f64 (/.f64 y x) 3) (/.f64 y x)))
(fma.f64 -1/2 (pow.f64 (/.f64 y x) 2) (fma.f64 1/3 (pow.f64 (/.f64 y x) 3) (/.f64 y x)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x))))
(fma.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (fma.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (fma.f64 1/3 (pow.f64 (/.f64 y x) 3) (/.f64 y x))))
(fma.f64 -1/2 (pow.f64 (/.f64 y x) 2) (fma.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (fma.f64 1/3 (pow.f64 (/.f64 y x) 3) (/.f64 y x))))
(+.f64 (log.f64 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (neg.f64 (neg.f64 (log.f64 y))) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 y) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (/.f64 x y)))
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (/.f64 x y)) (neg.f64 (log.f64 x)))
(+.f64 (/.f64 x y) (-.f64 (log.f64 y) (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))))
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (fma.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))) (neg.f64 (log.f64 x)))
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y)) (-.f64 (log.f64 y) (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 x y)))))
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (fma.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 y) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y))) (log.f64 x)))
(+.f64 (log.f64 (neg.f64 (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 -1 y))))
(+.f64 (log.f64 (/.f64 -1 x)) (neg.f64 (log.f64 (/.f64 -1 y))))
(-.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (neg.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (/.f64 x y)))
(+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (/.f64 x y)))
(+.f64 (/.f64 x y) (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 y))))
(+.f64 (log.f64 (neg.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))))
(+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (fma.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))))
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y)) (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 y))))
(+.f64 (log.f64 (neg.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 x y)))))
(+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (fma.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))))
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y))) (-.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 y))))
(+.f64 (log.f64 y) (*.f64 -1 (log.f64 x)))
(+.f64 (neg.f64 (neg.f64 (log.f64 y))) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 y) (log.f64 x))
(+.f64 (log.f64 y) (+.f64 (*.f64 -1 (log.f64 x)) (/.f64 x y)))
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (/.f64 x y)) (neg.f64 (log.f64 x)))
(+.f64 (/.f64 x y) (-.f64 (log.f64 y) (log.f64 x)))
(+.f64 (log.f64 y) (+.f64 (*.f64 -1 (log.f64 x)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (/.f64 x y))))
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (fma.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y))) (neg.f64 (log.f64 x)))
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 x y)) (-.f64 (log.f64 y) (log.f64 x)))
(+.f64 (log.f64 y) (+.f64 (*.f64 -1 (log.f64 x)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 x y)))))
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 y)) (fma.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y)))) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 y) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 x y))) (log.f64 x)))
(/.f64 y x)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 y x))
(fma.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (/.f64 y x))
(fma.f64 -1/2 (pow.f64 (/.f64 y x) 2) (/.f64 y x))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(fma.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (fma.f64 1/3 (pow.f64 (/.f64 y x) 3) (/.f64 y x)))
(fma.f64 -1/2 (pow.f64 (/.f64 y x) 2) (fma.f64 1/3 (pow.f64 (/.f64 y x) 3) (/.f64 y x)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x))))
(fma.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (fma.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (fma.f64 1/3 (pow.f64 (/.f64 y x) 3) (/.f64 y x))))
(fma.f64 -1/2 (pow.f64 (/.f64 y x) 2) (fma.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (fma.f64 1/3 (pow.f64 (/.f64 y x) 3) (/.f64 y x))))
(/.f64 y x)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (/.f64 y x))
(fma.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (/.f64 y x))
(fma.f64 -1/2 (pow.f64 (/.f64 y x) 2) (/.f64 y x))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x)))
(fma.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (fma.f64 1/3 (pow.f64 (/.f64 y x) 3) (/.f64 y x)))
(fma.f64 -1/2 (pow.f64 (/.f64 y x) 2) (fma.f64 1/3 (pow.f64 (/.f64 y x) 3) (/.f64 y x)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 y x))))
(fma.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (fma.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (fma.f64 1/3 (pow.f64 (/.f64 y x) 3) (/.f64 y x))))
(fma.f64 -1/2 (pow.f64 (/.f64 y x) 2) (fma.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (fma.f64 1/3 (pow.f64 (/.f64 y x) 3) (/.f64 y x))))
1
(+.f64 1 (*.f64 -1 (/.f64 y x)))
(-.f64 1 (/.f64 y x))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (-.f64 1 (/.f64 y x)) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))
(fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1) 1)
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (-.f64 1 (/.f64 y x)) (fma.f64 -1 (pow.f64 (/.f64 y x) 3) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (-.f64 (pow.f64 (/.f64 y x) 2) (pow.f64 (/.f64 y x) 3)) (-.f64 1 (/.f64 y x)))
(exp.f64 (neg.f64 (+.f64 (log.f64 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(exp.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 y))) (neg.f64 (log.f64 x)))))
(exp.f64 (-.f64 (log.f64 x) (log.f64 y)))
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (*.f64 -1 (/.f64 (*.f64 x (exp.f64 (neg.f64 (+.f64 (log.f64 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))) y)))
(+.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 y))) (neg.f64 (log.f64 x))))) (neg.f64 (*.f64 x (/.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 y))) (neg.f64 (log.f64 x))))) y))))
(-.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 y))) (*.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 y))) (/.f64 x y)))
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 x (exp.f64 (neg.f64 (+.f64 (log.f64 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))) y)) (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 (neg.f64 (+.f64 (log.f64 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))) (pow.f64 y 2))))
(+.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 y))) (neg.f64 (log.f64 x))))) (fma.f64 -1 (*.f64 x (/.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 y))) (neg.f64 (log.f64 x))))) y)) (*.f64 (pow.f64 x 2) (/.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 y))) (neg.f64 (log.f64 x))))) (pow.f64 y 2)))))
(+.f64 (-.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 y))) (*.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 y))) (/.f64 x y))) (*.f64 (pow.f64 x 2) (/.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 y))) (pow.f64 y 2))))
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 x (exp.f64 (neg.f64 (+.f64 (log.f64 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))) y)) (+.f64 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))) (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1/6 (pow.f64 x 3))))) (pow.f64 y 3)) (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 (neg.f64 (+.f64 (log.f64 (/.f64 1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))) (pow.f64 y 2)))))
(+.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 y))) (neg.f64 (log.f64 x))))) (fma.f64 -1 (*.f64 x (/.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 y))) (neg.f64 (log.f64 x))))) y)) (+.f64 (*.f64 (pow.f64 x 2) (/.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 y))) (neg.f64 (log.f64 x))))) (pow.f64 y 2))) (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 y))) (neg.f64 (log.f64 x))))) (fma.f64 -1/2 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 y 3)))))
(+.f64 (-.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 y))) (*.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 y))) (/.f64 x y))) (fma.f64 (pow.f64 x 2) (/.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 y))) (pow.f64 y 2)) (*.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 y))) (/.f64 (*.f64 (pow.f64 x 3) -1) (pow.f64 y 3)))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 -1 y))))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (/.f64 -1 x)) (neg.f64 (log.f64 (/.f64 -1 y))))))
(exp.f64 (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (/.f64 -1 x))))
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 -1 y)))))) (*.f64 -1 (/.f64 (*.f64 x (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 -1 y))))))) y)))
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (/.f64 -1 x)) (neg.f64 (log.f64 (/.f64 -1 y)))))) (neg.f64 (*.f64 x (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (/.f64 -1 x)) (neg.f64 (log.f64 (/.f64 -1 y)))))) y))))
(-.f64 (exp.f64 (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (/.f64 -1 x)))) (*.f64 (exp.f64 (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 (/.f64 -1 x)))) (/.f64 x y)))
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 -1 y)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 x (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 -1 y))))))) y)) (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 (neg.f64 (+.f64 (log.f64 (neg.f64 (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 -1 y))))))) (pow.f64 y 2))))
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (/.f64 -1 x)) (neg.f64 (log.f64 (/.f64 -1 y)))))) (fma.f64 -1 (*.f64 x (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (/.f64 -1 x)) (neg.f64 (log.f64 (/.f64 -1 y)))))) y)) (*.f64 (pow.f64 x 2) (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 (/.f64 -1 x)) (neg.f64 (log.f64 (/.f64 -1 y)))))) (pow.f64 y 2)))))
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(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (cbrt.f64 y) x) 1)
(fma.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)) 1)
(+.f64 (/.f64 y x) 1)
(fma.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x) 1)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 x)) 1)
(fma.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x) 1)
(fma.f64 (neg.f64 y) (/.f64 1 (neg.f64 x)) 1)
(fma.f64 (neg.f64 y) (/.f64 -1 x) 1)
(fma.f64 (/.f64 1 x) y 1)
(+.f64 (/.f64 y x) 1)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)) 1)
(fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) x) 1)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (cbrt.f64 y) x) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 y x)) 1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 y) (sqrt.f64 x)) 1)
(fma.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) x) 1)
(fma.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x) 1)
(fma.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 x)) 1)

eval151.0ms (3.3%)

Compiler

Compiled 7796 to 4360 computations (44.1% saved)

prune73.0ms (1.6%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New4520452
Fresh000
Picked022
Done033
Total4525457
Accuracy
100.0%
Counts
457 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 x (+.f64 x y))
49.7%
(/.f64 x y)
99.5%
(/.f64 1 (+.f64 1 (/.f64 y x)))
72.0%
(exp.f64 (neg.f64 (log1p.f64 (/.f64 y x))))
51.1%
1
Compiler

Compiled 108 to 59 computations (45.4% saved)

regimes22.0ms (0.5%)

Counts
11 → 1
Calls
Call 1
Inputs
1
(/.f64 x y)
(/.f64 x (+.f64 x y))
(*.f64 (/.f64 1 (+.f64 x y)) x)
(/.f64 1 (+.f64 1 (/.f64 y x)))
(/.f64 1 (/.f64 (+.f64 x y) x))
(pow.f64 (+.f64 1 (/.f64 y x)) -1)
(pow.f64 (/.f64 (+.f64 x y) x) -1)
(exp.f64 (neg.f64 (log1p.f64 (/.f64 y x))))
(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 x (+.f64 x y)) 2))) (cbrt.f64 (/.f64 1 (+.f64 x y))))
Outputs
(/.f64 x (+.f64 x y))
Calls

3 calls:

8.0ms
x
8.0ms
y
5.0ms
(/.f64 x (+.f64 x y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 x (+.f64 x y))
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes41.0ms (0.9%)

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

2 calls:

21.0ms
y
20.0ms
x
Results
AccuracySegmentsBranch
76.8%5x
79.5%7y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (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:

4.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
51.1%1y
51.1%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch52.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
1.842703510165284e+61
6.306155491693032e+63
9.0ms
1.8548807496011266e+43
1.1935433061664084e+44
17.0ms
5.146805398223718e-65
1.43348036073783e-53
13.0ms
-68684.06147992382
-47.07342349108997
Results
44.0ms496×256valid
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 332 to 264 computations (20.5% saved)

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Rules
not-or
if-not
not-not
if-if-or-not
1-exp
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
026100
138100
241100
34796
45196
55596
65696
75796
Stop Event
done
saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 x y))
(if (<=.f64 x -4400) 1 (if (<=.f64 x 2911674240052269/215679573337205118357336120696157045389097155380324579848828881993728) (/.f64 x y) (if (<=.f64 x 74000000000000001774117689070892498506743808) 1 (if (<=.f64 x 18500000000000000134097772525339259832541909790869438639112192) (/.f64 x y) 1))))
1
Outputs
(/.f64 x (+.f64 x y))
(if (<=.f64 x -4400) 1 (if (<=.f64 x 2911674240052269/215679573337205118357336120696157045389097155380324579848828881993728) (/.f64 x y) (if (<=.f64 x 74000000000000001774117689070892498506743808) 1 (if (<=.f64 x 18500000000000000134097772525339259832541909790869438639112192) (/.f64 x y) 1))))
(if (<=.f64 x -4400) 1 (if (or (<=.f64 x 2911674240052269/215679573337205118357336120696157045389097155380324579848828881993728) (and (not (<=.f64 x 74000000000000001774117689070892498506743808)) (<=.f64 x 18500000000000000134097772525339259832541909790869438639112192))) (/.f64 x y) 1))
1
Compiler

Compiled 34 to 25 computations (26.5% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess34.0ms (0.7%)

Compiler

Compiled 74 to 50 computations (32.4% saved)

Profiling

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