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

Time bar (total: 2.2s)

analyze10.0ms (0.5%)

Algorithm
1×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)

sample1.0s (47.4%)

Results
850.0ms7223×body256valid
183.0ms1033×body256infinite
Bogosity

preprocess121.0ms (5.5%)

Algorithm
1×egg-herbie
Rules
1932×fma-def
1628×div-sub
1492×fma-neg
668×associate-/r*
662×distribute-rgt-in
Problems
256×No Errors
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
023220
147196
2103196
3289184
41292162
53777151
66395151
77863151
Stop Event
1×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)))
(neg.f64 (/.f64 (+.f64 (neg.f64 x) y) (+.f64 y y)))
(neg.f64 (/.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 (+.f64 x y) (*.f64 2 y))
(/.f64 (+.f64 x y) (*.f64 y 2))
(-.f64 (*.f64 x (/.f64 1/2 y)) -1/2)
(fma.f64 x (/.f64 1/2 y) 1/2)
(/.f64 (+.f64 x y) (+.f64 y y))
(/.f64 (+.f64 x y) (*.f64 2 y))
(/.f64 (+.f64 x y) (*.f64 y 2))
(-.f64 (*.f64 x (/.f64 1/2 y)) -1/2)
(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 2 y))
(/.f64 (-.f64 y x) (*.f64 y 2))
(-.f64 1/2 (/.f64 x (*.f64 y 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 2 y))
(/.f64 (-.f64 y x) (*.f64 y 2))
(-.f64 1/2 (/.f64 x (*.f64 y 2)))
(fma.f64 x (/.f64 -1/2 y) 1/2)
(neg.f64 (/.f64 (+.f64 (neg.f64 x) y) (+.f64 y y)))
(/.f64 (neg.f64 (+.f64 y (neg.f64 x))) (*.f64 2 y))
(/.f64 (-.f64 x y) (*.f64 y 2))
(+.f64 (/.f64 x (*.f64 y 2)) -1/2)
(fma.f64 1/2 (/.f64 x y) -1/2)
(fma.f64 x (/.f64 1/2 y) -1/2)
(neg.f64 (/.f64 (+.f64 x (neg.f64 y)) (+.f64 (neg.f64 y) (neg.f64 y))))
(/.f64 (neg.f64 (+.f64 y (neg.f64 x))) (*.f64 2 y))
(/.f64 (-.f64 x y) (*.f64 y 2))
(+.f64 (/.f64 x (*.f64 y 2)) -1/2)
(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 2 x))
(/.f64 (+.f64 x y) (*.f64 x 2))
(-.f64 1/2 (/.f64 (/.f64 y x) -2))
(+.f64 1/2 (/.f64 (/.f64 y x) 2))
Compiler

Compiled 27 to 11 computations (59.3% saved)

eval1.0ms (0%)

Compiler

Compiled 29 to 18 computations (37.9% saved)

prune2.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
▶99.9%
(-.f64 (*.f64 x (/.f64 1/2 y)) -1/2)
▶100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
▶99.9%
(-.f64 (*.f64 x (/.f64 1/2 y)) -1/2)
Compiler

Compiled 36 to 24 computations (33.3% saved)

localize46.0ms (2.1%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(/.f64 (+.f64 x y) (+.f64 y y))
✓99.7%
(*.f64 x (/.f64 1/2 y))
Compiler

Compiled 37 to 18 computations (51.4% saved)

series8.0ms (0.3%)

Counts
2 → 48
Calls

12 calls:

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

rewrite126.0ms (5.7%)

Algorithm
1×batch-egg-rewrite
Rules
1326×prod-diff
808×log1p-expm1-u
808×expm1-log1p-u
790×log-prod
478×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01347
117941
2290641
Stop Event
1×node limit
Counts
2 → 67
Calls
Call 1
Inputs
(*.f64 x (/.f64 1/2 y))
(/.f64 (+.f64 x y) (+.f64 y y))
Outputs
(+.f64 0 (*.f64 x (/.f64 0 0)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 0 0))) (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 0 0))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 0 0)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 0 0)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 0 0)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 0 0)))) 1)
(/.f64 x (/.f64 0 0))
(/.f64 1 (/.f64 y (*.f64 x 1/2)))
(/.f64 (*.f64 x 1/2) y)
(/.f64 (neg.f64 (*.f64 x 1/2)) (neg.f64 y))
(/.f64 (*.f64 x -1/2) (neg.f64 y))
(/.f64 (*.f64 -1/2 x) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x 1/2) 1) y)
(/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 x (/.f64 0 0)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 0 0)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 0 0) (sqrt.f64 x)) 2)
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 0 0)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 0 0)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 0 0)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 0 0)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (/.f64 0 0)))
(cbrt.f64 (*.f64 (/.f64 0 0) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 0 0))))
(exp.f64 (log.f64 (*.f64 x (/.f64 0 0))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 0 0))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 0 0))))
(+.f64 0 (*.f64 (+.f64 x y) (/.f64 0 0)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 x y) (/.f64 0 0)))) (cbrt.f64 (exp.f64 (*.f64 (+.f64 x y) (/.f64 0 0)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x y) (/.f64 0 0)))) 1)
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(*.f64 (+.f64 x y) (/.f64 0 0))
(*.f64 (/.f64 0 0) (+.f64 x y))
(*.f64 (/.f64 0 0) (*.f64 (+.f64 x y) (/.f64 0 0)))
(*.f64 (*.f64 (+.f64 x y) (/.f64 0 0)) 1)
(*.f64 1 (*.f64 (+.f64 x y) (/.f64 0 0)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))) 2) (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))) (sqrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 0 0))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (/.f64 0 0)) (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))
(*.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) (sqrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))
(*.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 (+.f64 x y) (/.f64 0 0)) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) (/.f64 0 0)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))) 2)
(pow.f64 (/.f64 (/.f64 0 0) (+.f64 x y)) -1)
(neg.f64 (*.f64 (+.f64 x y) (/.f64 0 0)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) (/.f64 0 0)) 2))
(log.f64 (exp.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x y) (/.f64 0 0)))))
(log.f64 (/.f64 1 (exp.f64 (*.f64 (+.f64 x y) (/.f64 0 0)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (/.f64 0 0)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (/.f64 0 0)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))
(exp.f64 (log.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) (/.f64 0 0))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))

simplify22.0ms (1%)

Algorithm
1×egg-herbie
Rules
38×*-commutative
36×sqr-pow
20×associate-*l/
16×associate-*r/
16×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01641844
14241844
Stop Event
1×unsound
Counts
115 → 90
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))
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 0 (*.f64 x (/.f64 0 0)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 0 0))) (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 0 0))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 0 0)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 0 0)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 0 0)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 0 0)))) 1)
(/.f64 x (/.f64 0 0))
(/.f64 1 (/.f64 y (*.f64 x 1/2)))
(/.f64 (*.f64 x 1/2) y)
(/.f64 (neg.f64 (*.f64 x 1/2)) (neg.f64 y))
(/.f64 (*.f64 x -1/2) (neg.f64 y))
(/.f64 (*.f64 -1/2 x) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x 1/2) 1) y)
(/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 x (/.f64 0 0)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (*.f64 x (/.f64 0 0)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 0 0) (sqrt.f64 x)) 2)
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 0 0)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 0 0)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 0 0)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 0 0)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (/.f64 0 0)))
(cbrt.f64 (*.f64 (/.f64 0 0) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 0 0))))
(exp.f64 (log.f64 (*.f64 x (/.f64 0 0))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 0 0))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 0 0))))
(+.f64 0 (*.f64 (+.f64 x y) (/.f64 0 0)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 x y) (/.f64 0 0)))) (cbrt.f64 (exp.f64 (*.f64 (+.f64 x y) (/.f64 0 0)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x y) (/.f64 0 0)))) 1)
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(*.f64 (+.f64 x y) (/.f64 0 0))
(*.f64 (/.f64 0 0) (+.f64 x y))
(*.f64 (/.f64 0 0) (*.f64 (+.f64 x y) (/.f64 0 0)))
(*.f64 (*.f64 (+.f64 x y) (/.f64 0 0)) 1)
(*.f64 1 (*.f64 (+.f64 x y) (/.f64 0 0)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))) 2) (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))) (sqrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 0 0))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (/.f64 0 0)) (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))
(*.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) (sqrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))
(*.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 (+.f64 x y) (/.f64 0 0)) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) (/.f64 0 0)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))) 2)
(pow.f64 (/.f64 (/.f64 0 0) (+.f64 x y)) -1)
(neg.f64 (*.f64 (+.f64 x y) (/.f64 0 0)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) (/.f64 0 0)) 2))
(log.f64 (exp.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x y) (/.f64 0 0)))))
(log.f64 (/.f64 1 (exp.f64 (*.f64 (+.f64 x y) (/.f64 0 0)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (/.f64 0 0)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (/.f64 0 0)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))
(exp.f64 (log.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) (/.f64 0 0))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))
Outputs
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 -1/2 x) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 -1/2 x) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 -1/2 x) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 -1/2 x) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 -1/2 x) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 -1/2 x) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 -1/2 x) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 -1/2 x) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 -1/2 x) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 -1/2 x) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 -1/2 x) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 -1/2 x) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 -1/2 x) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 -1/2 x) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 -1/2 x) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 -1/2 x) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 -1/2 x) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 -1/2 x) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 -1/2 x) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 -1/2 x) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 -1/2 x) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 -1/2 x) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 -1/2 x) y)
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 -1/2 x) y)
1/2
-1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 -1/2 (/.f64 (*.f64 -1/2 x) y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 -1/2 (/.f64 (*.f64 -1/2 x) y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 -1/2 (/.f64 (*.f64 -1/2 x) y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 -1/2 x) y)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 -1/2 (/.f64 (*.f64 -1/2 x) y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 -1/2 (/.f64 (*.f64 -1/2 x) y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 -1/2 (/.f64 (*.f64 -1/2 x) y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 -1/2 x) y)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 -1/2 (/.f64 (*.f64 -1/2 x) y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 -1/2 (/.f64 (*.f64 -1/2 x) y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 -1/2 (/.f64 (*.f64 -1/2 x) y))
(*.f64 1/2 (/.f64 x y))
(/.f64 (*.f64 -1/2 x) y)
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 -1/2 (/.f64 (*.f64 -1/2 x) y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 -1/2 (/.f64 (*.f64 -1/2 x) y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 -1/2 (/.f64 (*.f64 -1/2 x) y))
1/2
-1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 -1/2 (/.f64 (*.f64 -1/2 x) y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 -1/2 (/.f64 (*.f64 -1/2 x) y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 -1/2 (/.f64 (*.f64 -1/2 x) y))
1/2
-1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 -1/2 (/.f64 (*.f64 -1/2 x) y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 -1/2 (/.f64 (*.f64 -1/2 x) y))
(+.f64 1/2 (*.f64 1/2 (/.f64 x y)))
(+.f64 -1/2 (/.f64 (*.f64 -1/2 x) y))
(+.f64 0 (*.f64 x (/.f64 0 0)))
(*.f64 x -1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 0 0))) (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 0 0))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 0 0)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1)) (cbrt.f64 (pow.f64 (exp.f64 x) -1)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 0 0)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 0 0)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -1))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 0 0)))) 1)
(*.f64 x -1)
(/.f64 x (/.f64 0 0))
(/.f64 x -1)
(/.f64 1 (/.f64 y (*.f64 x 1/2)))
(*.f64 (/.f64 -1 y) (*.f64 -1/2 x))
(/.f64 (*.f64 x 1/2) y)
(/.f64 (*.f64 -1/2 x) y)
(/.f64 (neg.f64 (*.f64 x 1/2)) (neg.f64 y))
(/.f64 x (/.f64 (neg.f64 y) -1/2))
(/.f64 (*.f64 x -1/2) (neg.f64 y))
(/.f64 x (/.f64 (neg.f64 y) -1/2))
(/.f64 (*.f64 -1/2 x) (neg.f64 y))
(/.f64 x (/.f64 (neg.f64 y) -1/2))
(/.f64 (/.f64 (*.f64 x 1/2) 1) y)
(/.f64 (*.f64 -1/2 x) y)
(/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (*.f64 -1/2 x) (*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 -1/2 x) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(pow.f64 (*.f64 x (/.f64 0 0)) 1)
(*.f64 x -1)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 0 0))) 3)
(*.f64 x -1)
(pow.f64 (pow.f64 (*.f64 x (/.f64 0 0)) 3) 1/3)
(*.f64 x -1)
(pow.f64 (*.f64 (/.f64 0 0) (sqrt.f64 x)) 2)
(pow.f64 (*.f64 -1 (sqrt.f64 x)) 2)
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 0 0)) 2))
(sqrt.f64 (pow.f64 (*.f64 x -1) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 0 0)))
(*.f64 -1 (log.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 0 0)))))
(*.f64 x -1)
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 0 0)) 3))
(*.f64 x -1)
(cbrt.f64 (*.f64 (pow.f64 x 3) (/.f64 0 0)))
(*.f64 x -1)
(cbrt.f64 (*.f64 (/.f64 0 0) (pow.f64 x 3)))
(*.f64 x -1)
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 0 0))))
(*.f64 x -1)
(exp.f64 (log.f64 (*.f64 x (/.f64 0 0))))
(*.f64 x -1)
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 0 0))) 1))
(*.f64 x -1)
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 0 0))))
(*.f64 x -1)
(+.f64 0 (*.f64 (+.f64 x y) (/.f64 0 0)))
-1
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 x y) (/.f64 0 0)))) (cbrt.f64 (exp.f64 (*.f64 (+.f64 x y) (/.f64 0 0)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))))
-1
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))))
-1
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x y) (/.f64 0 0)))) 1)
-1
(*.f64 1/2 (/.f64 (+.f64 x y) y))
(*.f64 -1/2 (/.f64 (+.f64 x y) y))
(*.f64 (+.f64 x y) (/.f64 0 0))
-1
(*.f64 (/.f64 0 0) (+.f64 x y))
-1
(*.f64 (/.f64 0 0) (*.f64 (+.f64 x y) (/.f64 0 0)))
-1
(*.f64 (*.f64 (+.f64 x y) (/.f64 0 0)) 1)
-1
(*.f64 1 (*.f64 (+.f64 x y) (/.f64 0 0)))
-1
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))
(pow.f64 (cbrt.f64 (+.f64 x y)) 2)
(*.f64 (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))) 2))
-1
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))) 2) (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))
-1
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))
(*.f64 -1 (sqrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))) (sqrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))
-1
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 0 0))
-1
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))
(pow.f64 (cbrt.f64 (+.f64 x y)) 2)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (/.f64 0 0)) (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))
(pow.f64 (cbrt.f64 (+.f64 x y)) 2)
(*.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) (sqrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))
(*.f64 -1 (sqrt.f64 (+.f64 x 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 (+.f64 x y) 2) (pow.f64 y 3)) (fma.f64 y y -1))
(*.f64 (/.f64 (+.f64 x y) 0) 0)
-1
(pow.f64 (*.f64 (+.f64 x y) (/.f64 0 0)) 1)
-1
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))) 3)
-1
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) (/.f64 0 0)) 3) 1/3)
-1
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) (/.f64 0 0))) 2)
-1
(pow.f64 (/.f64 (/.f64 0 0) (+.f64 x y)) -1)
-1
(neg.f64 (*.f64 (+.f64 x y) (/.f64 0 0)))
-1
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) (/.f64 0 0)) 2))
-1
(log.f64 (exp.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))
-1
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x y) (/.f64 0 0)))))
-1
(log.f64 (/.f64 1 (exp.f64 (*.f64 (+.f64 x y) (/.f64 0 0)))))
-1
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))))
-1
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (/.f64 0 0)) 3))
-1
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (/.f64 0 0)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) -1))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))
-1
(exp.f64 (log.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))
-1
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x y) (/.f64 0 0))) 1))
-1
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) (/.f64 0 0))))
-1

eval21.0ms (0.9%)

Compiler

Compiled 946 to 665 computations (29.7% saved)

prune57.0ms (2.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New86490
Fresh000
Picked202
Done000
Total88492
Accuracy
100.0%
Counts
92 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 (/.f64 (*.f64 x 1/2) y) -1/2)
▶36.1%
(-.f64 (/.f64 x -1) -1/2)
50.4%
1/2
2.2%
-1
▶100.0%
(-.f64 (/.f64 (*.f64 x 1/2) y) -1/2)
▶36.1%
(-.f64 (/.f64 x -1) -1/2)
50.4%
1/2
2.2%
-1
Compiler

Compiled 44 to 38 computations (13.6% saved)

localize47.0ms (2.1%)

Compiler

Compiled 33 to 23 computations (30.3% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked022
Done000
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (/.f64 (*.f64 x 1/2) y) -1/2)
✓36.1%
(-.f64 (/.f64 x -1) -1/2)
50.4%
1/2
2.2%
-1
✓100.0%
(-.f64 (/.f64 (*.f64 x 1/2) y) -1/2)
✓36.1%
(-.f64 (/.f64 x -1) -1/2)
50.4%
1/2
2.2%
-1
Compiler

Compiled 44 to 38 computations (13.6% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done022
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (/.f64 (*.f64 x 1/2) y) -1/2)
✓36.1%
(-.f64 (/.f64 x -1) -1/2)
50.4%
1/2
2.2%
-1
✓100.0%
(-.f64 (/.f64 (*.f64 x 1/2) y) -1/2)
✓36.1%
(-.f64 (/.f64 x -1) -1/2)
50.4%
1/2
2.2%
-1
Compiler

Compiled 44 to 38 computations (13.6% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done022
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (/.f64 (*.f64 x 1/2) y) -1/2)
✓36.1%
(-.f64 (/.f64 x -1) -1/2)
50.4%
1/2
2.2%
-1
Compiler

Compiled 52 to 40 computations (23.1% saved)

regimes15.0ms (0.7%)

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

3 calls:

5.0ms
y
5.0ms
x
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 45 to 30 computations (33.3% saved)

regimes9.0ms (0.4%)

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

2 calls:

4.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes9.0ms (0.4%)

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

2 calls:

4.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
50.4%1x
50.4%1y
Compiler

Compiled 15 to 12 computations (20% saved)

regimes6.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
2.2%1x
2.2%1y
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify4.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
6×sub-neg
6×+-commutative
6×*-commutative
2×neg-mul-1
2×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01652
12252
22752
32952
43052
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 x 1/2) y) -1/2)
(-.f64 (*.f64 x (/.f64 1/2 y)) -1/2)
1/2
-1
Outputs
(-.f64 (/.f64 (*.f64 x 1/2) y) -1/2)
(-.f64 (*.f64 x (/.f64 1/2 y)) -1/2)
1/2
-1
Compiler

Compiled 24 to 20 computations (16.7% saved)

soundness564.0ms (25.6%)

Rules
1932×fma-def
1628×div-sub
1492×fma-neg
1326×prod-diff
1326×prod-diff
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023220
147196
2103196
3289184
41292162
53777151
66395151
77863151
01347
117941
2290641
01347
117941
2290641
01641844
14241844
Stop Event
1×unsound
1×node limit
1×node limit
1×node limit
Compiler

Compiled 204 to 83 computations (59.3% saved)

end0.0ms (0%)

preprocess84.0ms (3.8%)

Compiler

Compiled 72 to 52 computations (27.8% saved)

Profiling

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