Data.Random.Distribution.T:$ccdf from random-fu-0.2.6.2

Time bar (total: 3.6s)

analyze10.0ms (0.3%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 10 to 6 computations (40% saved)

sample1.1s (31.5%)

Results
985.0ms7274×body256valid
147.0ms982×body256infinite
Bogosity

preprocess257.0ms (7.1%)

Algorithm
egg-herbie
Rules
2102×div-sub
2076×fma-def
1234×fma-neg
946×sub-neg
756×times-frac
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
018103
13495
27495
318095
441095
5102387
6297179
7522279
8624679
9685579
10734979
11766579
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 x y) (+.f64 y y))
(/.f64 (+.f64 x y) (+.f64 y y))
(/.f64 (+.f64 (neg.f64 x) y) (+.f64 y y))
(/.f64 (+.f64 x (neg.f64 y)) (+.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (+.f64 y x) (+.f64 x x))
Outputs
(/.f64 (+.f64 x y) (+.f64 y y))
(-.f64 1/2 (*.f64 -1/2 (/.f64 x y)))
(fma.f64 x (/.f64 1/2 y) 1/2)
(/.f64 (+.f64 x y) (+.f64 y y))
(-.f64 1/2 (*.f64 -1/2 (/.f64 x y)))
(fma.f64 x (/.f64 1/2 y) 1/2)
(/.f64 (+.f64 (neg.f64 x) y) (+.f64 y y))
(/.f64 (+.f64 y (neg.f64 x)) (+.f64 y y))
(/.f64 (-.f64 y x) (+.f64 y y))
(-.f64 1/2 (/.f64 x (+.f64 y y)))
(+.f64 1/2 (*.f64 -1/2 (/.f64 x y)))
(fma.f64 -1/2 (/.f64 x y) 1/2)
(fma.f64 x (/.f64 -1/2 y) 1/2)
(/.f64 (+.f64 x (neg.f64 y)) (+.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (+.f64 y (neg.f64 x)) (+.f64 y y))
(/.f64 (-.f64 y x) (+.f64 y y))
(-.f64 1/2 (/.f64 x (+.f64 y y)))
(+.f64 1/2 (*.f64 -1/2 (/.f64 x y)))
(fma.f64 -1/2 (/.f64 x y) 1/2)
(fma.f64 x (/.f64 -1/2 y) 1/2)
(/.f64 (+.f64 y x) (+.f64 x x))
(/.f64 (+.f64 x y) (+.f64 x x))
(-.f64 (/.f64 (/.f64 y x) 2) -1/2)
(+.f64 1/2 (/.f64 (/.f64 y x) 2))
Compiler

Compiled 9 to 5 computations (44.4% saved)

eval1.0ms (0%)

Compiler

Compiled 15 to 11 computations (26.7% saved)

prune2.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
100.0%
(-.f64 1/2 (*.f64 -1/2 (/.f64 x y)))
100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
100.0%
(-.f64 1/2 (*.f64 -1/2 (/.f64 x y)))
Compiler

Compiled 36 to 24 computations (33.3% saved)

localize41.0ms (1.1%)

Localize:

Found 2 expressions with local error:

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

Compiled 37 to 15 computations (59.5% saved)

series5.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
y
@0
(/.f64 (+.f64 x y) (+.f64 y y))
1.0ms
x
@inf
(-.f64 1/2 (*.f64 -1/2 (/.f64 x y)))
0.0ms
x
@inf
(/.f64 (+.f64 x y) (+.f64 y y))
0.0ms
x
@0
(-.f64 1/2 (*.f64 -1/2 (/.f64 x y)))
0.0ms
y
@inf
(-.f64 1/2 (*.f64 -1/2 (/.f64 x y)))

rewrite211.0ms (5.8%)

Algorithm
batch-egg-rewrite
Rules
1604×prod-diff
1356×log-prod
650×fma-def
490×expm1-udef
488×log1p-udef
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01238
128538
2432634
Stop Event
node limit
Counts
2 → 88
Calls
Call 1
Inputs
(-.f64 1/2 (*.f64 -1/2 (/.f64 x y)))
(/.f64 (+.f64 x y) (+.f64 y y))
Outputs
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 (*.f64 1/2 (/.f64 x y)) 1))
(+.f64 0 (fma.f64 1/2 (/.f64 x y) 1/2))
(+.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) 1/2))) (cbrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) 1/2))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))))
(*.f64 (fma.f64 1/2 (/.f64 x y) 1/2) 1)
(*.f64 1 (fma.f64 1/2 (/.f64 x y) 1/2))
(*.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)) 2) (cbrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))
(*.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)) (sqrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))
(*.f64 (-.f64 1/8 (*.f64 (pow.f64 (/.f64 x y) 3) -1/8)) (/.f64 1 (fma.f64 (*.f64 -1/2 (/.f64 x y)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4)))
(*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (/.f64 x y) 2))) (/.f64 1 (fma.f64 -1/2 (/.f64 x y) 1/2)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 -1/2 (/.f64 x y)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4) (-.f64 1/8 (*.f64 (pow.f64 (/.f64 x y) 3) -1/8))))
(/.f64 1 (/.f64 (fma.f64 -1/2 (/.f64 x y) 1/2) (-.f64 1/4 (*.f64 1/4 (pow.f64 (/.f64 x y) 2)))))
(/.f64 (-.f64 1/8 (*.f64 (pow.f64 (/.f64 x y) 3) -1/8)) (fma.f64 (*.f64 -1/2 (/.f64 x y)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4))
(/.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (/.f64 x y) 2))) (fma.f64 -1/2 (/.f64 x y) 1/2))
(/.f64 (neg.f64 (-.f64 1/8 (*.f64 (pow.f64 (/.f64 x y) 3) -1/8))) (neg.f64 (fma.f64 (*.f64 -1/2 (/.f64 x y)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4)))
(/.f64 (neg.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (/.f64 x y) 2)))) (neg.f64 (fma.f64 -1/2 (/.f64 x y) 1/2)))
(/.f64 (+.f64 1/8 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3)) (+.f64 1/4 (-.f64 (*.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 1/2 (/.f64 x y))) (*.f64 1/2 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (-.f64 1/4 (*.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 1/2 (/.f64 x y)))) (-.f64 1/2 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (fma.f64 1/2 (/.f64 x y) 1/2) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (/.f64 x y) 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 x y) 1/2) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (/.f64 x y) 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 x y) 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))
(exp.f64 (log.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (/.f64 x y) 1/2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(fma.f64 -1/2 (neg.f64 (/.f64 x y)) 1/2)
(fma.f64 (/.f64 x y) 1/2 1/2)
(fma.f64 1 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 x y))) 2) (neg.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 x y)))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 x y))) (neg.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 x y)))) 1/2)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 1/2)
(fma.f64 -1 (*.f64 -1/2 (/.f64 x y)) 1/2)
(fma.f64 (neg.f64 (/.f64 x y)) -1/2 1/2)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 x y))) 2)) (cbrt.f64 (*.f64 -1/2 (/.f64 x y))) 1/2)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 x y)))) (sqrt.f64 (*.f64 -1/2 (/.f64 x y))) 1/2)
(fma.f64 (*.f64 1/2 x) (/.f64 1 y) 1/2)
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y)) 1/2)
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) 1/2)
(+.f64 0 (*.f64 1/2 (/.f64 (+.f64 x y) y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y)))) (cbrt.f64 (exp.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y)))) 1)
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(*.f64 (+.f64 x y) (+.f64 y y))
(*.f64 (+.f64 y y) (+.f64 x y))
(*.f64 (+.f64 y y) (*.f64 1/2 (/.f64 (+.f64 x y) y)))
(*.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y)) 1)
(*.f64 1 (*.f64 1/2 (/.f64 (+.f64 x y) y)))
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (+.f64 y y)) (*.f64 (sqrt.f64 (+.f64 x y)) (+.f64 y y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (+.f64 y y)))
(*.f64 (neg.f64 (+.f64 x y)) (+.f64 y y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (+.f64 y y)) (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 2) (/.f64 (cbrt.f64 (+.f64 x y)) y))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (*.f64 (sqrt.f64 (+.f64 x y)) (+.f64 y y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 2) (/.f64 (sqrt.f64 (+.f64 x y)) y))
(*.f64 (/.f64 (+.f64 x y) (*.f64 2 (pow.f64 y 3))) (fma.f64 y y 0))
(*.f64 (/.f64 (+.f64 x y) 0) 0)
(pow.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (+.f64 y y)) 2)
(pow.f64 (*.f64 2 (/.f64 y (+.f64 x y))) -1)
(neg.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y)))
(sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y)) 2))
(log.f64 (exp.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y)))))
(log.f64 (/.f64 1 (exp.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))))
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (+.f64 y y)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))

simplify64.0ms (1.8%)

Algorithm
egg-herbie
Rules
1206×fma-def
774×distribute-lft-in
746×associate-*r/
722×distribute-rgt-in
712×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02102890
15102752
218752620
Stop Event
node limit
Counts
136 → 131
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 1/2 (*.f64 (*.f64 1/2 (/.f64 x y)) 1))
(+.f64 0 (fma.f64 1/2 (/.f64 x y) 1/2))
(+.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) 1/2))) (cbrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) 1/2))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))))
(*.f64 (fma.f64 1/2 (/.f64 x y) 1/2) 1)
(*.f64 1 (fma.f64 1/2 (/.f64 x y) 1/2))
(*.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)) 2) (cbrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))
(*.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)) (sqrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))
(*.f64 (-.f64 1/8 (*.f64 (pow.f64 (/.f64 x y) 3) -1/8)) (/.f64 1 (fma.f64 (*.f64 -1/2 (/.f64 x y)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4)))
(*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (/.f64 x y) 2))) (/.f64 1 (fma.f64 -1/2 (/.f64 x y) 1/2)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 -1/2 (/.f64 x y)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4) (-.f64 1/8 (*.f64 (pow.f64 (/.f64 x y) 3) -1/8))))
(/.f64 1 (/.f64 (fma.f64 -1/2 (/.f64 x y) 1/2) (-.f64 1/4 (*.f64 1/4 (pow.f64 (/.f64 x y) 2)))))
(/.f64 (-.f64 1/8 (*.f64 (pow.f64 (/.f64 x y) 3) -1/8)) (fma.f64 (*.f64 -1/2 (/.f64 x y)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4))
(/.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (/.f64 x y) 2))) (fma.f64 -1/2 (/.f64 x y) 1/2))
(/.f64 (neg.f64 (-.f64 1/8 (*.f64 (pow.f64 (/.f64 x y) 3) -1/8))) (neg.f64 (fma.f64 (*.f64 -1/2 (/.f64 x y)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4)))
(/.f64 (neg.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (/.f64 x y) 2)))) (neg.f64 (fma.f64 -1/2 (/.f64 x y) 1/2)))
(/.f64 (+.f64 1/8 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3)) (+.f64 1/4 (-.f64 (*.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 1/2 (/.f64 x y))) (*.f64 1/2 (*.f64 1/2 (/.f64 x y))))))
(/.f64 (-.f64 1/4 (*.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 1/2 (/.f64 x y)))) (-.f64 1/2 (*.f64 1/2 (/.f64 x y))))
(pow.f64 (fma.f64 1/2 (/.f64 x y) 1/2) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (/.f64 x y) 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 x y) 1/2) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (/.f64 x y) 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 x y) 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))
(exp.f64 (log.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (/.f64 x y) 1/2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(fma.f64 -1/2 (neg.f64 (/.f64 x y)) 1/2)
(fma.f64 (/.f64 x y) 1/2 1/2)
(fma.f64 1 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 x y))) 2) (neg.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 x y)))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 x y))) (neg.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 x y)))) 1/2)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 1/2)
(fma.f64 -1 (*.f64 -1/2 (/.f64 x y)) 1/2)
(fma.f64 (neg.f64 (/.f64 x y)) -1/2 1/2)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 x y))) 2)) (cbrt.f64 (*.f64 -1/2 (/.f64 x y))) 1/2)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 x y)))) (sqrt.f64 (*.f64 -1/2 (/.f64 x y))) 1/2)
(fma.f64 (*.f64 1/2 x) (/.f64 1 y) 1/2)
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y)) 1/2)
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) 1/2)
(+.f64 0 (*.f64 1/2 (/.f64 (+.f64 x y) y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y)))) (cbrt.f64 (exp.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y)))) 1)
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(*.f64 (+.f64 x y) (+.f64 y y))
(*.f64 (+.f64 y y) (+.f64 x y))
(*.f64 (+.f64 y y) (*.f64 1/2 (/.f64 (+.f64 x y) y)))
(*.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y)) 1)
(*.f64 1 (*.f64 1/2 (/.f64 (+.f64 x y) y)))
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (+.f64 y y)) (*.f64 (sqrt.f64 (+.f64 x y)) (+.f64 y y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (+.f64 y y)))
(*.f64 (neg.f64 (+.f64 x y)) (+.f64 y y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (+.f64 y y)) (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 2) (/.f64 (cbrt.f64 (+.f64 x y)) y))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (*.f64 (sqrt.f64 (+.f64 x y)) (+.f64 y y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 2) (/.f64 (sqrt.f64 (+.f64 x y)) y))
(*.f64 (/.f64 (+.f64 x y) (*.f64 2 (pow.f64 y 3))) (fma.f64 y y 0))
(*.f64 (/.f64 (+.f64 x y) 0) 0)
(pow.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (+.f64 y y)) 2)
(pow.f64 (*.f64 2 (/.f64 y (+.f64 x y))) -1)
(neg.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y)))
(sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y)) 2))
(log.f64 (exp.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y)))))
(log.f64 (/.f64 1 (exp.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))))
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (+.f64 y y)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))
Outputs
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(*.f64 1/2 (/.f64 x y))
(/.f64 x (/.f64 y 1/2))
(/.f64 1/2 (/.f64 y x))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(*.f64 1/2 (/.f64 x y))
(/.f64 x (/.f64 y 1/2))
(/.f64 1/2 (/.f64 y x))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(*.f64 1/2 (/.f64 x y))
(/.f64 x (/.f64 y 1/2))
(/.f64 1/2 (/.f64 y x))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(*.f64 1/2 (/.f64 x y))
(/.f64 x (/.f64 y 1/2))
(/.f64 1/2 (/.f64 y x))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(*.f64 1/2 (/.f64 x y))
(/.f64 x (/.f64 y 1/2))
(/.f64 1/2 (/.f64 y x))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(*.f64 1/2 (/.f64 x y))
(/.f64 x (/.f64 y 1/2))
(/.f64 1/2 (/.f64 y x))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(+.f64 1/2 (*.f64 (*.f64 1/2 (/.f64 x y)) 1))
(fma.f64 1/2 (/.f64 x y) 1/2)
(+.f64 0 (fma.f64 1/2 (/.f64 x y) 1/2))
(fma.f64 1/2 (/.f64 x y) 1/2)
(+.f64 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) 1/2)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) 1/2))) (cbrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) 1/2))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) 1/2))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))) 2)
(*.f64 (fma.f64 1/2 (/.f64 x y) 1/2) 1)
(fma.f64 1/2 (/.f64 x y) 1/2)
(*.f64 1 (fma.f64 1/2 (/.f64 x y) 1/2))
(fma.f64 1/2 (/.f64 x y) 1/2)
(*.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)) 2))
(fma.f64 1/2 (/.f64 x y) 1/2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)) 2) (cbrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(*.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)) (sqrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(*.f64 (-.f64 1/8 (*.f64 (pow.f64 (/.f64 x y) 3) -1/8)) (/.f64 1 (fma.f64 (*.f64 -1/2 (/.f64 x y)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4)))
(*.f64 (-.f64 1/8 (*.f64 (pow.f64 (/.f64 x y) 3) -1/8)) (/.f64 1 (fma.f64 (/.f64 (*.f64 -1/2 x) y) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4)))
(/.f64 (fma.f64 1/8 (pow.f64 (/.f64 x y) 3) 1/8) (fma.f64 (/.f64 (*.f64 x -1/2) y) (fma.f64 (/.f64 x y) -1/2 1/2) 1/4))
(/.f64 (fma.f64 1/8 (pow.f64 (/.f64 x y) 3) 1/8) (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) 1/4 -1/4) 1/4))
(*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (/.f64 x y) 2))) (/.f64 1 (fma.f64 -1/2 (/.f64 x y) 1/2)))
(*.f64 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (/.f64 x y) 2))) (/.f64 1 (fma.f64 -1/2 (/.f64 x y) 1/2)))
(/.f64 (+.f64 1/4 (*.f64 (pow.f64 (/.f64 x y) 2) -1/4)) (fma.f64 (/.f64 x y) -1/2 1/2))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) -1/4 1/4) (fma.f64 (/.f64 x y) -1/2 1/2))
(/.f64 1 (/.f64 (fma.f64 (*.f64 -1/2 (/.f64 x y)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4) (-.f64 1/8 (*.f64 (pow.f64 (/.f64 x y) 3) -1/8))))
(*.f64 (-.f64 1/8 (*.f64 (pow.f64 (/.f64 x y) 3) -1/8)) (/.f64 1 (fma.f64 (/.f64 (*.f64 -1/2 x) y) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4)))
(/.f64 (fma.f64 1/8 (pow.f64 (/.f64 x y) 3) 1/8) (fma.f64 (/.f64 (*.f64 x -1/2) y) (fma.f64 (/.f64 x y) -1/2 1/2) 1/4))
(/.f64 (fma.f64 1/8 (pow.f64 (/.f64 x y) 3) 1/8) (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) 1/4 -1/4) 1/4))
(/.f64 1 (/.f64 (fma.f64 -1/2 (/.f64 x y) 1/2) (-.f64 1/4 (*.f64 1/4 (pow.f64 (/.f64 x y) 2)))))
(*.f64 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (/.f64 x y) 2))) (/.f64 1 (fma.f64 -1/2 (/.f64 x y) 1/2)))
(/.f64 (+.f64 1/4 (*.f64 (pow.f64 (/.f64 x y) 2) -1/4)) (fma.f64 (/.f64 x y) -1/2 1/2))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) -1/4 1/4) (fma.f64 (/.f64 x y) -1/2 1/2))
(/.f64 (-.f64 1/8 (*.f64 (pow.f64 (/.f64 x y) 3) -1/8)) (fma.f64 (*.f64 -1/2 (/.f64 x y)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4))
(*.f64 (-.f64 1/8 (*.f64 (pow.f64 (/.f64 x y) 3) -1/8)) (/.f64 1 (fma.f64 (/.f64 (*.f64 -1/2 x) y) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4)))
(/.f64 (fma.f64 1/8 (pow.f64 (/.f64 x y) 3) 1/8) (fma.f64 (/.f64 (*.f64 x -1/2) y) (fma.f64 (/.f64 x y) -1/2 1/2) 1/4))
(/.f64 (fma.f64 1/8 (pow.f64 (/.f64 x y) 3) 1/8) (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) 1/4 -1/4) 1/4))
(/.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (/.f64 x y) 2))) (fma.f64 -1/2 (/.f64 x y) 1/2))
(*.f64 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (/.f64 x y) 2))) (/.f64 1 (fma.f64 -1/2 (/.f64 x y) 1/2)))
(/.f64 (+.f64 1/4 (*.f64 (pow.f64 (/.f64 x y) 2) -1/4)) (fma.f64 (/.f64 x y) -1/2 1/2))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) -1/4 1/4) (fma.f64 (/.f64 x y) -1/2 1/2))
(/.f64 (neg.f64 (-.f64 1/8 (*.f64 (pow.f64 (/.f64 x y) 3) -1/8))) (neg.f64 (fma.f64 (*.f64 -1/2 (/.f64 x y)) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4)))
(*.f64 (-.f64 1/8 (*.f64 (pow.f64 (/.f64 x y) 3) -1/8)) (/.f64 1 (fma.f64 (/.f64 (*.f64 -1/2 x) y) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4)))
(/.f64 (fma.f64 1/8 (pow.f64 (/.f64 x y) 3) 1/8) (fma.f64 (/.f64 (*.f64 x -1/2) y) (fma.f64 (/.f64 x y) -1/2 1/2) 1/4))
(/.f64 (fma.f64 1/8 (pow.f64 (/.f64 x y) 3) 1/8) (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) 1/4 -1/4) 1/4))
(/.f64 (neg.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (/.f64 x y) 2)))) (neg.f64 (fma.f64 -1/2 (/.f64 x y) 1/2)))
(*.f64 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (/.f64 x y) 2))) (/.f64 1 (fma.f64 -1/2 (/.f64 x y) 1/2)))
(/.f64 (+.f64 1/4 (*.f64 (pow.f64 (/.f64 x y) 2) -1/4)) (fma.f64 (/.f64 x y) -1/2 1/2))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) -1/4 1/4) (fma.f64 (/.f64 x y) -1/2 1/2))
(/.f64 (+.f64 1/8 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3)) (+.f64 1/4 (-.f64 (*.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 1/2 (/.f64 x y))) (*.f64 1/2 (*.f64 1/2 (/.f64 x y))))))
(*.f64 (-.f64 1/8 (*.f64 (pow.f64 (/.f64 x y) 3) -1/8)) (/.f64 1 (fma.f64 (/.f64 (*.f64 -1/2 x) y) (fma.f64 -1/2 (/.f64 x y) 1/2) 1/4)))
(/.f64 (fma.f64 1/8 (pow.f64 (/.f64 x y) 3) 1/8) (fma.f64 (/.f64 (*.f64 x -1/2) y) (fma.f64 (/.f64 x y) -1/2 1/2) 1/4))
(/.f64 (fma.f64 1/8 (pow.f64 (/.f64 x y) 3) 1/8) (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) 1/4 -1/4) 1/4))
(/.f64 (-.f64 1/4 (*.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 1/2 (/.f64 x y)))) (-.f64 1/2 (*.f64 1/2 (/.f64 x y))))
(*.f64 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (/.f64 x y) 2))) (/.f64 1 (fma.f64 -1/2 (/.f64 x y) 1/2)))
(/.f64 (+.f64 1/4 (*.f64 (pow.f64 (/.f64 x y) 2) -1/4)) (fma.f64 (/.f64 x y) -1/2 1/2))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) -1/4 1/4) (fma.f64 (/.f64 x y) -1/2 1/2))
(pow.f64 (fma.f64 1/2 (/.f64 x y) 1/2) 1)
(fma.f64 1/2 (/.f64 x y) 1/2)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)) 3)
(fma.f64 1/2 (/.f64 x y) 1/2)
(pow.f64 (pow.f64 (fma.f64 1/2 (/.f64 x y) 1/2) 3) 1/3)
(fma.f64 1/2 (/.f64 x y) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 x y) 1/2)) 2)
(fma.f64 1/2 (/.f64 x y) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 x y) 1/2) 2))
(fma.f64 1/2 (/.f64 x y) 1/2)
(log.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (/.f64 x y) 1/2))))
(fma.f64 1/2 (/.f64 x y) 1/2)
(cbrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 x y) 1/2) 3))
(fma.f64 1/2 (/.f64 x y) 1/2)
(expm1.f64 (log1p.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(exp.f64 (log.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (/.f64 x y) 1/2)) 1))
(fma.f64 1/2 (/.f64 x y) 1/2)
(log1p.f64 (expm1.f64 (fma.f64 1/2 (/.f64 x y) 1/2)))
(fma.f64 1/2 (/.f64 x y) 1/2)
(fma.f64 1/2 (/.f64 x y) 1/2)
(fma.f64 -1/2 (neg.f64 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) 1/2)
(fma.f64 (/.f64 x y) 1/2 1/2)
(fma.f64 1/2 (/.f64 x y) 1/2)
(fma.f64 1 (*.f64 1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 x y))) 2) (neg.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 x y)))) 1/2)
(fma.f64 1/2 (/.f64 x y) 1/2)
(fma.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 x y))) (neg.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 x y)))) 1/2)
(fma.f64 1/2 (/.f64 x y) 1/2)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 1/2)
(fma.f64 1/2 (/.f64 x y) 1/2)
(fma.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 1/2)
(fma.f64 1/2 (/.f64 x y) 1/2)
(fma.f64 -1 (*.f64 -1/2 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) 1/2)
(fma.f64 (neg.f64 (/.f64 x y)) -1/2 1/2)
(fma.f64 1/2 (/.f64 x y) 1/2)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 x y))) 2)) (cbrt.f64 (*.f64 -1/2 (/.f64 x y))) 1/2)
(fma.f64 1/2 (/.f64 x y) 1/2)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 x y)))) (sqrt.f64 (*.f64 -1/2 (/.f64 x y))) 1/2)
(fma.f64 1/2 (/.f64 x y) 1/2)
(fma.f64 (*.f64 1/2 x) (/.f64 1 y) 1/2)
(fma.f64 1/2 (/.f64 x y) 1/2)
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) 1/2)
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) 1/2)
(fma.f64 1/2 (/.f64 x y) 1/2)
(+.f64 0 (*.f64 1/2 (/.f64 (+.f64 x y) y)))
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(/.f64 1/2 (/.f64 y (+.f64 x y)))
(*.f64 (/.f64 1/2 y) (+.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y)))) (cbrt.f64 (exp.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (/.f64 (+.f64 x y) y))) (cbrt.f64 (pow.f64 (exp.f64 1/2) (/.f64 (+.f64 x y) y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (/.f64 (+.f64 x y) y)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/2 (/.f64 y (+.f64 x y))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/2 (/.f64 y (+.f64 x y)))))))
(*.f64 3 (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (/.f64 (+.f64 x y) y)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/2 (/.f64 y (+.f64 x y)))))))
(*.f64 2 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y)))) 1)
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(/.f64 1/2 (/.f64 y (+.f64 x y)))
(*.f64 (/.f64 1/2 y) (+.f64 x y))
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(/.f64 1/2 (/.f64 y (+.f64 x y)))
(*.f64 (/.f64 1/2 y) (+.f64 x y))
(*.f64 (+.f64 x y) (+.f64 y y))
(*.f64 2 (*.f64 y (+.f64 x y)))
(*.f64 (+.f64 y y) (+.f64 x y))
(*.f64 (+.f64 x y) (+.f64 y y))
(*.f64 2 (*.f64 y (+.f64 x y)))
(*.f64 (+.f64 y y) (*.f64 1/2 (/.f64 (+.f64 x y) y)))
(*.f64 (*.f64 (+.f64 y y) 1/2) (/.f64 (+.f64 x y) y))
(*.f64 2 (*.f64 y (/.f64 1/2 (/.f64 y (+.f64 x y)))))
(*.f64 (/.f64 1 (/.f64 y (+.f64 x y))) y)
(*.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y)) 1)
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(/.f64 1/2 (/.f64 y (+.f64 x y)))
(*.f64 (/.f64 1/2 y) (+.f64 x y))
(*.f64 1 (*.f64 1/2 (/.f64 (+.f64 x y) y)))
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(/.f64 1/2 (/.f64 y (+.f64 x y)))
(*.f64 (/.f64 1/2 y) (+.f64 x y))
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))) 2))
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(/.f64 1/2 (/.f64 y (+.f64 x y)))
(*.f64 (/.f64 1/2 y) (+.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(/.f64 1/2 (/.f64 y (+.f64 x y)))
(*.f64 (/.f64 1/2 y) (+.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))) (pow.f64 (cbrt.f64 (+.f64 x y)) 2))
(*.f64 (cbrt.f64 (/.f64 1/2 (/.f64 y (+.f64 x y)))) (pow.f64 (cbrt.f64 (+.f64 x y)) 2))
(*.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) (+.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 x y)) 2))
(*.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (+.f64 y y)) (*.f64 (sqrt.f64 (+.f64 x y)) (+.f64 y y)))
(pow.f64 (*.f64 (+.f64 y y) (sqrt.f64 (+.f64 x y))) 2)
(*.f64 (+.f64 x y) (*.f64 4 (*.f64 y y)))
(*.f64 (+.f64 x y) (*.f64 (*.f64 y y) 4))
(*.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (+.f64 y y)))
(*.f64 (+.f64 x y) (+.f64 y y))
(*.f64 2 (*.f64 y (+.f64 x y)))
(*.f64 (neg.f64 (+.f64 x y)) (+.f64 y y))
(*.f64 (+.f64 y y) (neg.f64 (+.f64 x y)))
(*.f64 2 (*.f64 y (-.f64 (neg.f64 x) y)))
(*.f64 y (*.f64 (+.f64 x y) -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))) (pow.f64 (cbrt.f64 (+.f64 x y)) 2))
(*.f64 (cbrt.f64 (/.f64 1/2 (/.f64 y (+.f64 x y)))) (pow.f64 (cbrt.f64 (+.f64 x y)) 2))
(*.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) (+.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 x y)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (+.f64 y y)) (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (+.f64 y y)))
(*.f64 (cbrt.f64 (/.f64 1/2 (/.f64 y (+.f64 x y)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (+.f64 y y)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) (+.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (+.f64 y y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 2) (/.f64 (cbrt.f64 (+.f64 x y)) y))
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(/.f64 1/2 (/.f64 y (+.f64 x y)))
(*.f64 (/.f64 1/2 y) (+.f64 x y))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (*.f64 (sqrt.f64 (+.f64 x y)) (+.f64 y y)))
(*.f64 (+.f64 x y) (+.f64 y y))
(*.f64 2 (*.f64 y (+.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 2) (/.f64 (sqrt.f64 (+.f64 x y)) y))
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(/.f64 1/2 (/.f64 y (+.f64 x y)))
(*.f64 (/.f64 1/2 y) (+.f64 x y))
(*.f64 (/.f64 (+.f64 x y) (*.f64 2 (pow.f64 y 3))) (fma.f64 y y 0))
(*.f64 (/.f64 (+.f64 x y) (*.f64 2 (pow.f64 y 3))) (*.f64 y y))
(*.f64 (/.f64 (/.f64 (+.f64 x y) (pow.f64 y 3)) 2) (*.f64 y y))
(*.f64 (/.f64 (+.f64 x y) 0) 0)
0
(pow.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y)) 1)
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(/.f64 1/2 (/.f64 y (+.f64 x y)))
(*.f64 (/.f64 1/2 y) (+.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))) 3)
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(/.f64 1/2 (/.f64 y (+.f64 x y)))
(*.f64 (/.f64 1/2 y) (+.f64 x y))
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y)) 3) 1/3)
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(/.f64 1/2 (/.f64 y (+.f64 x y)))
(*.f64 (/.f64 1/2 y) (+.f64 x y))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (+.f64 y y)) 2)
(pow.f64 (*.f64 (+.f64 y y) (sqrt.f64 (+.f64 x y))) 2)
(*.f64 (+.f64 x y) (*.f64 4 (*.f64 y y)))
(*.f64 (+.f64 x y) (*.f64 (*.f64 y y) 4))
(pow.f64 (*.f64 2 (/.f64 y (+.f64 x y))) -1)
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(/.f64 1/2 (/.f64 y (+.f64 x y)))
(*.f64 (/.f64 1/2 y) (+.f64 x y))
(neg.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y)))
(*.f64 -1/2 (/.f64 (+.f64 x y) y))
(/.f64 -1/2 (/.f64 y (+.f64 x y)))
(sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y)) 2))
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(/.f64 1/2 (/.f64 y (+.f64 x y)))
(*.f64 (/.f64 1/2 y) (+.f64 x y))
(log.f64 (exp.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(/.f64 1/2 (/.f64 y (+.f64 x y)))
(*.f64 (/.f64 1/2 y) (+.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y)))))
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(/.f64 1/2 (/.f64 y (+.f64 x y)))
(*.f64 (/.f64 1/2 y) (+.f64 x y))
(log.f64 (/.f64 1 (exp.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y)))))
(*.f64 -1/2 (/.f64 (+.f64 x y) y))
(/.f64 -1/2 (/.f64 y (+.f64 x y)))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))))
(*.f64 -1/2 (/.f64 (+.f64 x y) y))
(/.f64 -1/2 (/.f64 y (+.f64 x y)))
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y)) 3))
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(/.f64 1/2 (/.f64 y (+.f64 x y)))
(*.f64 (/.f64 1/2 y) (+.f64 x y))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (+.f64 y y)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(/.f64 1/2 (/.f64 y (+.f64 x y)))
(*.f64 (/.f64 1/2 y) (+.f64 x y))
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(/.f64 1/2 (/.f64 y (+.f64 x y)))
(*.f64 (/.f64 1/2 y) (+.f64 x y))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))) 1))
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(/.f64 1/2 (/.f64 y (+.f64 x y)))
(*.f64 (/.f64 1/2 y) (+.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 (+.f64 x y) y))))
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(/.f64 1/2 (/.f64 y (+.f64 x y)))
(*.f64 (/.f64 1/2 y) (+.f64 x y))

eval33.0ms (0.9%)

Compiler

Compiled 1660 to 882 computations (46.9% saved)

prune22.0ms (0.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1274131
Fresh000
Picked022
Done000
Total1276133
Accuracy
100.0%
Counts
133 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
48.6%
(/.f64 x (/.f64 y 1/2))
48.5%
(/.f64 1/2 (/.f64 y x))
100.0%
(-.f64 1/2 (*.f64 -1/2 (/.f64 x y)))
52.0%
1/2
2.7%
0
100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
48.6%
(/.f64 x (/.f64 y 1/2))
48.5%
(/.f64 1/2 (/.f64 y x))
100.0%
(-.f64 1/2 (*.f64 -1/2 (/.f64 x y)))
52.0%
1/2
2.7%
0
Compiler

Compiled 76 to 56 computations (26.3% saved)

localize53.0ms (1.4%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
99.5%
(/.f64 1/2 (/.f64 y x))
Compiler

Compiled 25 to 13 computations (48% saved)

series5.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

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

rewrite144.0ms (4%)

Algorithm
batch-egg-rewrite
Rules
1592×pow1
1478×add-exp-log
1478×log1p-expm1-u
1478×expm1-log1p-u
1446×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
115413
2201413
Stop Event
node limit
Counts
1 → 26
Calls
Call 1
Inputs
(/.f64 1/2 (/.f64 y x))
Outputs
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 x y))) 1)
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(*.f64 (*.f64 1/2 (/.f64 x y)) 1)
(*.f64 1 (*.f64 1/2 (/.f64 x y)))
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) (sqrt.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 -1/2 (/.f64 1 (/.f64 (neg.f64 y) x)))
(*.f64 (/.f64 x y) 1/2)
(*.f64 (/.f64 1/2 y) x)
(*.f64 (*.f64 (/.f64 1/2 y) 1) x)
(*.f64 (*.f64 (/.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 1/2 (neg.f64 y)) (neg.f64 x))
(pow.f64 (*.f64 1/2 (/.f64 x y)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)
(pow.f64 (*.f64 (/.f64 y x) 2) -1)
(sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 y x) 2)))
(log.f64 (pow.f64 (exp.f64 1/2) (/.f64 x y)))
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 x y))))

simplify59.0ms (1.6%)

Algorithm
egg-herbie
Rules
1012×fma-def
876×associate-/r*
726×distribute-rgt-in
708×distribute-lft-in
626×log-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
066660
1159660
2586660
32482654
Stop Event
node limit
Counts
50 → 28
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 x y))) 1)
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(*.f64 (*.f64 1/2 (/.f64 x y)) 1)
(*.f64 1 (*.f64 1/2 (/.f64 x y)))
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) (sqrt.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 -1/2 (/.f64 1 (/.f64 (neg.f64 y) x)))
(*.f64 (/.f64 x y) 1/2)
(*.f64 (/.f64 1/2 y) x)
(*.f64 (*.f64 (/.f64 1/2 y) 1) x)
(*.f64 (*.f64 (/.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 1/2 (neg.f64 y)) (neg.f64 x))
(pow.f64 (*.f64 1/2 (/.f64 x y)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)
(pow.f64 (*.f64 (/.f64 y x) 2) -1)
(sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 y x) 2)))
(log.f64 (pow.f64 (exp.f64 1/2) (/.f64 x y)))
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 x y))))
Outputs
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 x y))) 1)
(*.f64 1/2 (/.f64 x y))
(*.f64 1/2 (/.f64 x y))
(*.f64 x (/.f64 1/2 y))
(*.f64 1/2 (/.f64 x y))
(*.f64 (*.f64 1/2 (/.f64 x y)) 1)
(*.f64 1/2 (/.f64 x y))
(*.f64 1 (*.f64 1/2 (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2))
(*.f64 1/2 (/.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x y))
(*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) (sqrt.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x y))
(*.f64 -1/2 (/.f64 1 (/.f64 (neg.f64 y) x)))
(*.f64 1/2 (/.f64 x y))
(*.f64 (/.f64 x y) 1/2)
(*.f64 1/2 (/.f64 x y))
(*.f64 (/.f64 1/2 y) x)
(*.f64 1/2 (/.f64 x y))
(*.f64 (*.f64 (/.f64 1/2 y) 1) x)
(*.f64 1/2 (/.f64 x y))
(*.f64 (*.f64 (/.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 1/2 (/.f64 x y))
(*.f64 (*.f64 (/.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 1/2 (/.f64 x y))
(*.f64 (/.f64 1/2 (neg.f64 y)) (neg.f64 x))
(*.f64 1/2 (/.f64 x y))
(pow.f64 (*.f64 1/2 (/.f64 x y)) 1)
(*.f64 1/2 (/.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)
(*.f64 1/2 (/.f64 x y))
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3)
(*.f64 1/2 (/.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)
(*.f64 1/2 (/.f64 x y))
(pow.f64 (*.f64 (/.f64 y x) 2) -1)
(*.f64 1/2 (/.f64 x y))
(sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 y x) 2)))
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 y x)) -2))
(fabs.f64 (*.f64 1/2 (/.f64 x y)))
(log.f64 (pow.f64 (exp.f64 1/2) (/.f64 x y)))
(*.f64 1/2 (/.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3))
(*.f64 1/2 (/.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x y))
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 x y))))
(*.f64 1/2 (/.f64 x y))

eval5.0ms (0.2%)

Compiler

Compiled 227 to 138 computations (39.2% saved)

prune8.0ms (0.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New28028
Fresh022
Picked022
Done022
Total28634
Accuracy
100.0%
Counts
34 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
48.6%
(/.f64 x (/.f64 y 1/2))
48.5%
(/.f64 1/2 (/.f64 y x))
100.0%
(-.f64 1/2 (*.f64 -1/2 (/.f64 x y)))
52.0%
1/2
2.7%
0
100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
48.6%
(/.f64 x (/.f64 y 1/2))
48.5%
(/.f64 1/2 (/.f64 y x))
100.0%
(-.f64 1/2 (*.f64 -1/2 (/.f64 x y)))
52.0%
1/2
2.7%
0
Compiler

Compiled 76 to 56 computations (26.3% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune6.0ms (0.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done044
Total066
Accuracy
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
48.6%
(/.f64 x (/.f64 y 1/2))
48.5%
(/.f64 1/2 (/.f64 y x))
100.0%
(-.f64 1/2 (*.f64 -1/2 (/.f64 x y)))
52.0%
1/2
2.7%
0
100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
48.6%
(/.f64 x (/.f64 y 1/2))
48.5%
(/.f64 1/2 (/.f64 y x))
100.0%
(-.f64 1/2 (*.f64 -1/2 (/.f64 x y)))
52.0%
1/2
2.7%
0
Compiler

Compiled 76 to 56 computations (26.3% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done044
Total066
Accuracy
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
48.6%
(/.f64 x (/.f64 y 1/2))
48.5%
(/.f64 1/2 (/.f64 y x))
100.0%
(-.f64 1/2 (*.f64 -1/2 (/.f64 x y)))
52.0%
1/2
2.7%
0
Compiler

Compiled 66 to 46 computations (30.3% saved)

regimes16.0ms (0.4%)

Counts
6 → 1
Calls
Call 1
Inputs
0
1/2
(/.f64 1/2 (/.f64 y x))
(/.f64 x (/.f64 y 1/2))
(-.f64 1/2 (*.f64 -1/2 (/.f64 x y)))
(/.f64 (+.f64 x y) (+.f64 y y))
Outputs
(-.f64 1/2 (*.f64 -1/2 (/.f64 x y)))
Calls

3 calls:

6.0ms
x
5.0ms
y
3.0ms
(/.f64 (+.f64 x y) (+.f64 y y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (+.f64 x y) (+.f64 y y))
Compiler

Compiled 43 to 27 computations (37.2% saved)

regimes48.0ms (1.3%)

Counts
4 → 5
Calls
Call 1
Inputs
0
1/2
(/.f64 1/2 (/.f64 y x))
(/.f64 x (/.f64 y 1/2))
Outputs
(/.f64 x (/.f64 y 1/2))
1/2
(/.f64 x (/.f64 y 1/2))
1/2
(/.f64 x (/.f64 y 1/2))
Calls

2 calls:

27.0ms
x
20.0ms
y
Results
AccuracySegmentsBranch
80.8%5x
79.7%5y
Compiler

Compiled 20 to 14 computations (30% saved)

regimes22.0ms (0.6%)

Counts
3 → 5
Calls
Call 1
Inputs
0
1/2
(/.f64 1/2 (/.f64 y x))
Outputs
(/.f64 1/2 (/.f64 y x))
1/2
(/.f64 1/2 (/.f64 y x))
1/2
(/.f64 1/2 (/.f64 y x))
Calls

1 calls:

21.0ms
x
Results
AccuracySegmentsBranch
80.7%5x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.2%)

Counts
2 → 1
Calls
Call 1
Inputs
0
1/2
Outputs
1/2
Calls

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
52.0%1y
52.0%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
0
Outputs
0
Calls

2 calls:

3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
2.7%1x
2.7%1y
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch221.0ms (6.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
68.0ms
7.327465622017451e+87
5.326331970357253e+95
98.0ms
272678381053860.5
2.3030638939395583e+21
30.0ms
2.934457696931819e-20
4.080538961816359e-17
25.0ms
-4.555306801171413e-35
-1.0271679725028463e-37
Results
131.0ms515×body256valid
77.0ms29×body256infinite
Compiler

Compiled 422 to 349 computations (17.3% saved)

bsearch99.0ms (2.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
7.327465622017451e+87
5.326331970357253e+95
26.0ms
272678381053860.5
2.3030638939395583e+21
23.0ms
2.934457696931819e-20
4.080538961816359e-17
23.0ms
-4.555306801171413e-35
-1.0271679725028463e-37
Results
84.0ms519×body256valid
4.0ms25×body256infinite
Compiler

Compiled 422 to 349 computations (17.3% saved)

simplify25.0ms (0.7%)

Algorithm
egg-herbie
Rules
16×not-or
12×not-not
12×if-if-or-not
12×if-not
10×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
041163
156163
273163
393155
4107155
5118155
6121155
7123155
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 1/2 (*.f64 -1/2 (/.f64 x y)))
(if (<=.f64 x -3180227562832045/93536104789177786765035829293842113257979682750464) (/.f64 x (/.f64 y 1/2)) (if (<=.f64 x 6490371073168535/649037107316853453566312041152512) 1/2 (if (<=.f64 x 820000000000000000) (/.f64 x (/.f64 y 1/2)) (if (<=.f64 x 30000000000000000549348798468895211528057383432372059017576067169820075810134834058100736) 1/2 (/.f64 x (/.f64 y 1/2))))))
(if (<=.f64 x -8418249431026001/187072209578355573530071658587684226515959365500928) (/.f64 1/2 (/.f64 y x)) (if (<=.f64 x 3946145612486469/5192296858534827628530496329220096) 1/2 (if (<=.f64 x 7500000000000000) (/.f64 1/2 (/.f64 y x)) (if (<=.f64 x 7800000000000000390189276670886561138956569796425327560417523026739873847659925036072960) 1/2 (/.f64 1/2 (/.f64 y x))))))
1/2
0
Outputs
(-.f64 1/2 (*.f64 -1/2 (/.f64 x y)))
(if (<=.f64 x -3180227562832045/93536104789177786765035829293842113257979682750464) (/.f64 x (/.f64 y 1/2)) (if (<=.f64 x 6490371073168535/649037107316853453566312041152512) 1/2 (if (<=.f64 x 820000000000000000) (/.f64 x (/.f64 y 1/2)) (if (<=.f64 x 30000000000000000549348798468895211528057383432372059017576067169820075810134834058100736) 1/2 (/.f64 x (/.f64 y 1/2))))))
(if (<=.f64 x -3180227562832045/93536104789177786765035829293842113257979682750464) (/.f64 x (/.f64 y 1/2)) (if (<=.f64 x 6490371073168535/649037107316853453566312041152512) 1/2 (if (or (<=.f64 x 820000000000000000) (not (<=.f64 x 30000000000000000549348798468895211528057383432372059017576067169820075810134834058100736))) (/.f64 x (/.f64 y 1/2)) 1/2)))
(if (or (<=.f64 x -3180227562832045/93536104789177786765035829293842113257979682750464) (not (or (<=.f64 x 6490371073168535/649037107316853453566312041152512) (and (not (<=.f64 x 820000000000000000)) (<=.f64 x 30000000000000000549348798468895211528057383432372059017576067169820075810134834058100736))))) (/.f64 x (/.f64 y 1/2)) 1/2)
(if (<=.f64 x -8418249431026001/187072209578355573530071658587684226515959365500928) (/.f64 1/2 (/.f64 y x)) (if (<=.f64 x 3946145612486469/5192296858534827628530496329220096) 1/2 (if (<=.f64 x 7500000000000000) (/.f64 1/2 (/.f64 y x)) (if (<=.f64 x 7800000000000000390189276670886561138956569796425327560417523026739873847659925036072960) 1/2 (/.f64 1/2 (/.f64 y x))))))
(if (<=.f64 x -8418249431026001/187072209578355573530071658587684226515959365500928) (/.f64 1/2 (/.f64 y x)) (if (<=.f64 x 3946145612486469/5192296858534827628530496329220096) 1/2 (if (or (<=.f64 x 7500000000000000) (not (<=.f64 x 7800000000000000390189276670886561138956569796425327560417523026739873847659925036072960))) (/.f64 1/2 (/.f64 y x)) 1/2)))
(if (or (<=.f64 x -8418249431026001/187072209578355573530071658587684226515959365500928) (not (or (<=.f64 x 3946145612486469/5192296858534827628530496329220096) (and (not (<=.f64 x 7500000000000000)) (<=.f64 x 7800000000000000390189276670886561138956569796425327560417523026739873847659925036072960))))) (/.f64 1/2 (/.f64 y x)) 1/2)
1/2
0
Compiler

Compiled 67 to 53 computations (20.9% saved)

soundness1.0s (28.6%)

Rules
2102×div-sub
2076×fma-def
1604×prod-diff
1356×log-prod
1234×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018103
13495
27495
318095
441095
5102387
6297179
7522279
8624679
9685579
10734979
11766579
01238
128538
2432634
02102890
15102752
218752620
02102890
15102752
218752620
02102890
15102752
218752620
Stop Event
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 306 to 124 computations (59.5% saved)

end0.0ms (0%)

preprocess70.0ms (1.9%)

Compiler

Compiled 154 to 114 computations (26% saved)

Profiling

Loading profile data...