Logistic regression 2

Time bar (total: 12.2s)

analyze97.0ms (0.8%)

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
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
75%74.9%25%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
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
75%74.9%25%0.1%0%0%0%10
75%74.9%25%0.1%0%0%0%11
75%74.9%25%0.1%0%0%0%12
Compiler

Compiled 12 to 9 computations (25% saved)

sample4.7s (38.4%)

Results
2.5s2708×body8192exit
1.5s7158×body256valid
368.0ms184×body1024valid
185.0ms207×body512valid
136.0ms705×body256infinite
2.0msbody2048valid
Bogosity

preprocess299.0ms (2.5%)

Algorithm
egg-herbie
Rules
1540×times-frac
1328×fma-def
800×fma-neg
552×cancel-sign-sub-inv
470×swap-sqr
Problems
253×No Errors
(log.f64 (+.f64 1 (exp.f64 x)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030234
173226
2129210
3286210
4468210
5769210
61322210
72788210
85719210
97847210
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y)))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))
Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y))
(+.f64 (log1p.f64 (exp.f64 (neg.f64 x))) (*.f64 x y))
(+.f64 (*.f64 x y) (log1p.f64 (exp.f64 (neg.f64 x))))
(fma.f64 x y (log1p.f64 (exp.f64 (neg.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y)))
(neg.f64 (+.f64 (log1p.f64 (exp.f64 (neg.f64 x))) (*.f64 x y)))
(neg.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y))))
(neg.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))
(neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 y)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 y)))
Compiler

Compiled 40 to 23 computations (42.5% saved)

eval0.0ms (0%)

Compiler

Compiled 16 to 8 computations (50% saved)

prune3.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
100.0%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
99.9%
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
100.0%
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
100.0%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
99.9%
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 58 to 40 computations (31% saved)

localize213.0ms (1.8%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
100.0%
(log1p.f64 (exp.f64 x))
100.0%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
100.0%
(log1p.f64 (exp.f64 x))
100.0%
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
100.0%
(+.f64 1 (exp.f64 x))
99.5%
(log.f64 (+.f64 1 (exp.f64 x)))
Compiler

Compiled 62 to 19 computations (69.4% saved)

series56.0ms (0.5%)

Counts
7 → 104
Calls

30 calls:

TimeVariablePointExpression
26.0ms
x
@inf
(log.f64 (+.f64 1 (exp.f64 x)))
19.0ms
x
@-inf
(log.f64 (+.f64 1 (exp.f64 x)))
3.0ms
y
@0
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
1.0ms
x
@-inf
(log1p.f64 (exp.f64 x))
0.0ms
x
@0
(log.f64 (+.f64 1 (exp.f64 x)))

rewrite313.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
1942×prod-diff
805×log1p-expm1-u
805×expm1-log1p-u
278×expm1-udef
278×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019140
1213128
22892128
Stop Event
node limit
Counts
7 → 526
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
Outputs
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(-.f64 (log1p.f64 (exp.f64 (*.f64 x 3))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (exp.f64 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (exp.f64 (*.f64 x 3)))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 x 3)))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (expm1.f64 x))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (exp.f64 1) (log1p.f64 (exp.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (*.f64 x y) 1 (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 y x (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (neg.f64 x)) y (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x y)))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 -1 (*.f64 x y) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 y (neg.f64 x) (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (neg.f64 (sqrt.f64 (*.f64 x y))) (*.f64 x y)))
(+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 x y) -1))) (fma.f64 (*.f64 x y) -1 (*.f64 (*.f64 x y) -1)))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (*.f64 (cbrt.f64 (*.f64 x y)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 y (*.f64 (neg.f64 x) 1)))) (fma.f64 y (*.f64 (neg.f64 x) 1) (*.f64 y (*.f64 (neg.f64 x) 1))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 x) (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 (neg.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 x) (sqrt.f64 y)))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 y (*.f64 x -1)))) (fma.f64 y (*.f64 x -1) (*.f64 y (*.f64 x -1))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (*.f64 x y)) (fma.f64 (*.f64 x y) 1 (*.f64 x y)))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (*.f64 x y)) (fma.f64 y x (*.f64 x y)))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (*.f64 x y)) (fma.f64 (neg.f64 (neg.f64 x)) y (*.f64 x y)))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (*.f64 x y)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (*.f64 x y)) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x y)))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (*.f64 x y)) (fma.f64 -1 (*.f64 x y) (*.f64 x y)))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (*.f64 x y)) (fma.f64 y (neg.f64 x) (*.f64 x y)))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (neg.f64 (sqrt.f64 (*.f64 x y))) (*.f64 x y)))
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(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 x y) -1))) (fma.f64 (*.f64 x y) -1 (*.f64 (*.f64 x y) -1)))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (*.f64 (cbrt.f64 (*.f64 x y)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 y (*.f64 (neg.f64 x) 1)))) (fma.f64 y (*.f64 (neg.f64 x) 1) (*.f64 y (*.f64 (neg.f64 x) 1))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 x) (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 (neg.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 x) (sqrt.f64 y)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 y (*.f64 x -1)))) (fma.f64 y (*.f64 x -1) (*.f64 y (*.f64 x -1))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x)))))) (/.f64 (pow.f64 (*.f64 x y) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(*.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x))))
(*.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 1)
(*.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2)))
(/.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2)) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))
(pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))

simplify256.0ms (2.1%)

Algorithm
egg-herbie
Rules
1144×fma-neg
668×distribute-lft-neg-in
612×distribute-rgt-neg-in
520×distribute-lft-out
470×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052419775
1123619159
2369118431
Stop Event
node limit
Counts
630 → 251
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 -1 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (+.f64 1/2 (*.f64 -1 y)))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (+.f64 1/2 (*.f64 -1 y))))))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
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(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x)))))) (/.f64 (pow.f64 (*.f64 x y) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(*.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x))))
(*.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 1)
(*.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2)))
(/.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2)) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))
(pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) (fma.f64 1/2 x (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (*.f64 x (+.f64 1/2 (*.f64 x 1/8)))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (+.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 2 (fma.f64 1/2 (pow.f64 x 2) x))
(+.f64 2 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 2 x) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 x (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 (+.f64 2 x) (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 x 1/6))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) (fma.f64 1/2 x (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (*.f64 x (+.f64 1/2 (*.f64 x 1/8)))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 x 1/8))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) (fma.f64 1/2 x (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (*.f64 x (+.f64 1/2 (*.f64 x 1/8)))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 -1 y))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (+.f64 1/2 (*.f64 -1 y)))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (+.f64 1/2 (*.f64 -1 y))))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
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(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 x y) -1))) (fma.f64 (*.f64 x y) -1 (*.f64 (*.f64 x y) -1)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (*.f64 (cbrt.f64 (*.f64 x y)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 y (*.f64 (neg.f64 x) 1)))) (fma.f64 y (*.f64 (neg.f64 x) 1) (*.f64 y (*.f64 (neg.f64 x) 1))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 x) (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 (neg.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 x) (sqrt.f64 y)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 y (*.f64 x -1)))) (fma.f64 y (*.f64 x -1) (*.f64 y (*.f64 x -1))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 1)
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x)))))) (/.f64 (pow.f64 (*.f64 x y) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (*.f64 x y) 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(*.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(*.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 1)
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 1 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(/.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2)) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))
(pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 1)
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 3)
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3) 1/3)
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(pow.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2)
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(sqrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(cbrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(expm1.f64 (log1p.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 1))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))

eval65.0ms (0.5%)

Compiler

Compiled 5406 to 1943 computations (64.1% saved)

prune53.0ms (0.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2438251
Fresh000
Picked303
Done000
Total2468254
Accuracy
100.0%
Counts
254 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.4%
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
87.2%
(-.f64 (log.f64 2) (*.f64 x y))
92.9%
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 x y) -1))) (fma.f64 (*.f64 x y) -1 (*.f64 (*.f64 x y) -1)))
80.4%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
75.9%
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
51.8%
(*.f64 x (neg.f64 y))
50.3%
(log1p.f64 (exp.f64 x))
50.3%
(log.f64 (+.f64 1 (exp.f64 x)))
80.4%
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
87.2%
(-.f64 (log.f64 2) (*.f64 x y))
92.9%
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 x y) -1))) (fma.f64 (*.f64 x y) -1 (*.f64 (*.f64 x y) -1)))
80.4%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
75.9%
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
51.8%
(*.f64 x (neg.f64 y))
50.3%
(log1p.f64 (exp.f64 x))
50.3%
(log.f64 (+.f64 1 (exp.f64 x)))
Compiler

Compiled 332 to 244 computations (26.5% saved)

localize148.0ms (1.2%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
100.0%
(log1p.f64 (exp.f64 x))
100.0%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
100.0%
(*.f64 x (-.f64 1/2 y))
100.0%
(fma.f64 (*.f64 x y) -1 (*.f64 (*.f64 x y) -1))
100.0%
(log1p.f64 (exp.f64 x))
100.0%
(fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 x y) -1)))
93.4%
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 x y) -1))) (fma.f64 (*.f64 x y) -1 (*.f64 (*.f64 x y) -1)))
Compiler

Compiled 121 to 60 computations (50.4% saved)

series251.0ms (2.1%)

Counts
8 → 147
Calls

42 calls:

TimeVariablePointExpression
238.0ms
y
@0
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
3.0ms
x
@0
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
1.0ms
x
@0
(fma.f64 (*.f64 x y) -1 (*.f64 (*.f64 x y) -1))
1.0ms
y
@0
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 x y) -1))) (fma.f64 (*.f64 x y) -1 (*.f64 (*.f64 x y) -1)))
1.0ms
x
@0
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 x y) -1))) (fma.f64 (*.f64 x y) -1 (*.f64 (*.f64 x y) -1)))

rewrite164.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
937×log1p-expm1-u
771×expm1-log1p-u
492×expm1-udef
490×log1p-udef
252×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026252
1353196
24558196
Stop Event
node limit
Counts
8 → 220
Calls
Call 1
Inputs
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 x y) -1))) (fma.f64 (*.f64 x y) -1 (*.f64 (*.f64 x y) -1)))
(fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 x y) -1)))
(log1p.f64 (exp.f64 x))
(fma.f64 (*.f64 x y) -1 (*.f64 (*.f64 x y) -1))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(log1p.f64 (exp.f64 x))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
Outputs
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 (*.f64 x y) 2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (*.f64 (*.f64 x y) 2))))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (*.f64 (*.f64 x y) 2)))) (/.f64 (pow.f64 (*.f64 (*.f64 x y) 2) 2) (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (*.f64 (*.f64 x y) 2)))))
(-.f64 (-.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 x y)) (*.f64 x y))
(*.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (*.f64 (*.f64 x y) 2))))
(*.f64 (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (*.f64 (*.f64 x y) 2))) 1)
(*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (*.f64 (*.f64 x y) 2)))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (*.f64 (*.f64 x y) 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (*.f64 (*.f64 x y) 2)))) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (*.f64 (*.f64 x y) 2)))))
(*.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (*.f64 (*.f64 x y) 2))) 2) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (*.f64 (*.f64 x y) 2)))))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (*.f64 (*.f64 x y) 2)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (*.f64 (*.f64 x y) 2)))))
(*.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) (pow.f64 (*.f64 (*.f64 x y) 2) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (*.f64 (*.f64 (*.f64 x y) 2) (-.f64 (*.f64 (*.f64 x y) 2) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (*.f64 (*.f64 x y) 2))) (-.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (*.f64 (*.f64 x y) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (*.f64 (*.f64 (*.f64 x y) 2) (-.f64 (*.f64 (*.f64 x y) 2) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) (pow.f64 (*.f64 (*.f64 x y) 2) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (*.f64 (*.f64 x y) 2))) (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (*.f64 (*.f64 x y) 2))) 2)))
(/.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (*.f64 (*.f64 x y) 2))) 2) (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (*.f64 (*.f64 x y) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) (pow.f64 (*.f64 (*.f64 x y) 2) 3)) (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (*.f64 (*.f64 (*.f64 x y) 2) (-.f64 (*.f64 (*.f64 x y) 2) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) (pow.f64 (*.f64 (*.f64 x y) 2) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 x y) 2) 2) (-.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 (*.f64 x y) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) (pow.f64 (*.f64 (*.f64 x y) 2) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (*.f64 (*.f64 (*.f64 x y) 2) (-.f64 (*.f64 (*.f64 x y) 2) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (*.f64 (*.f64 x y) 2))) 2)) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (*.f64 (*.f64 x y) 2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) (pow.f64 (*.f64 (*.f64 x y) 2) 3)) (+.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (+.f64 (pow.f64 (*.f64 (*.f64 x y) 2) 2) (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 (*.f64 x y) 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x y) 2) 2) (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2)) (-.f64 (*.f64 (*.f64 x y) 2) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (*.f64 (*.f64 x y) 2))) 1)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (*.f64 (*.f64 x y) 2)))) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (*.f64 (*.f64 x y) 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (*.f64 (*.f64 x y) 2)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (*.f64 (*.f64 x y) 2))) 2))
(log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (*.f64 (*.f64 x y) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (*.f64 (*.f64 x y) 2))))))
(log.f64 (/.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (exp.f64 (*.f64 (*.f64 x y) 2))))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (*.f64 (*.f64 x y) 2))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (*.f64 (*.f64 x y) 2)))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (*.f64 (*.f64 x y) 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (*.f64 (*.f64 x y) 2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (*.f64 (*.f64 x y) 2)))))
(fma.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 (*.f64 x y) 2))
(fma.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (neg.f64 (*.f64 (*.f64 x y) 2)))
(fma.f64 1 (*.f64 (*.f64 x y) 2) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (*.f64 (*.f64 x y) 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (neg.f64 (*.f64 (*.f64 x y) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x y) 2)) 2) (cbrt.f64 (*.f64 (*.f64 x y) 2)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (*.f64 (*.f64 x y) 2))
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (neg.f64 (*.f64 (*.f64 x y) 2)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x y) 2)) (sqrt.f64 (*.f64 (*.f64 x y) 2)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 1)
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 0) (*.f64 x y))
(*.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(*.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(+.f64 (*.f64 x y) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x y) 2))) 1)
(*.f64 x (+.f64 (neg.f64 y) (neg.f64 y)))
(*.f64 1 (*.f64 (*.f64 x y) 2))
(*.f64 (*.f64 x y) 2)
(*.f64 (*.f64 x y) -2)
(*.f64 -1 (*.f64 (*.f64 x y) 2))
(*.f64 (*.f64 (*.f64 x y) 2) 1)
(*.f64 2 (*.f64 x y))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x y) 2)) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x y) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x y) 2)) 2) (cbrt.f64 (*.f64 (*.f64 x y) 2)))
(*.f64 (cbrt.f64 (*.f64 x y)) (+.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (+.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 x y))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x y) 2)) (sqrt.f64 (*.f64 (*.f64 x y) 2)))
(*.f64 (sqrt.f64 (*.f64 x y)) (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y))))
(*.f64 (neg.f64 y) (+.f64 x x))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 x y) 2)) (-.f64 (*.f64 x y) (*.f64 x y)))
(pow.f64 (*.f64 (*.f64 x y) 2) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x y) 2)) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 x y) 2) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 x y) 2)) 2)
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x y) 2) 2))
(log.f64 (exp.f64 (*.f64 (*.f64 x y) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x y) 2))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x y) 2) 3))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x y) 2)))
(exp.f64 (log.f64 (*.f64 (*.f64 x y) 2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x y) 2)) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x y) 2)))
(+.f64 (*.f64 x 1/2) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 y 1/2))))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (*.f64 y (+.f64 y 1/2))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 y 1/2))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) (/.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) (/.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))

simplify89.0ms (0.7%)

Algorithm
egg-herbie
Rules
688×fma-def
424×associate-*r*
378×associate-*l*
214×cancel-sign-sub-inv
200×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04102313
19852313
261282313
Stop Event
unsound
Counts
367 → 202
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 (+.f64 1/2 (*.f64 -2 y)) (*.f64 -1 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 (+.f64 1/2 (*.f64 -2 y)) (*.f64 -1 y)))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 (+.f64 1/2 (*.f64 -2 y)) (*.f64 -1 y))))))
(*.f64 x (-.f64 (*.f64 -2 y) (*.f64 -1 y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (-.f64 (*.f64 -2 y) (*.f64 -1 y))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (-.f64 (*.f64 -2 y) (*.f64 -1 y))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (-.f64 (*.f64 -2 y) (*.f64 -1 y))))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 2 y) y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x (-.f64 (*.f64 2 y) y))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x (-.f64 (*.f64 2 y) y))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x (-.f64 (*.f64 2 y) y))))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y (-.f64 (*.f64 -2 x) (*.f64 -1 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y (-.f64 (*.f64 -2 x) (*.f64 -1 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y (-.f64 (*.f64 -2 x) (*.f64 -1 x))))
(*.f64 y (-.f64 (*.f64 -2 x) (*.f64 -1 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y (-.f64 (*.f64 -2 x) (*.f64 -1 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y (-.f64 (*.f64 -2 x) (*.f64 -1 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y (-.f64 (*.f64 -2 x) (*.f64 -1 x))))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 2 x) x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y (-.f64 (*.f64 2 x) x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y (-.f64 (*.f64 2 x) x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y (-.f64 (*.f64 2 x) x))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 (*.f64 -1 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 (*.f64 -1 y)))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 (*.f64 -1 y))))))
(*.f64 x y)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(*.f64 x y)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(*.f64 x y)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(*.f64 x y)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(*.f64 -2 (*.f64 x y))
(*.f64 -2 (*.f64 x y))
(*.f64 -2 (*.f64 x y))
(*.f64 -2 (*.f64 x y))
(*.f64 -2 (*.f64 x y))
(*.f64 -2 (*.f64 x y))
(*.f64 -2 (*.f64 x y))
(*.f64 -2 (*.f64 x y))
(*.f64 -2 (*.f64 x y))
(*.f64 -2 (*.f64 x y))
(*.f64 -2 (*.f64 x y))
(*.f64 -2 (*.f64 x y))
(*.f64 -2 (*.f64 x y))
(*.f64 -2 (*.f64 x y))
(*.f64 -2 (*.f64 x y))
(*.f64 -2 (*.f64 x y))
(*.f64 -2 (*.f64 x y))
(*.f64 -2 (*.f64 x y))
(*.f64 -2 (*.f64 x y))
(*.f64 -2 (*.f64 x y))
(*.f64 -2 (*.f64 x y))
(*.f64 -2 (*.f64 x y))
(*.f64 -2 (*.f64 x y))
(*.f64 -2 (*.f64 x y))
(*.f64 1/2 x)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(log.f64 2)
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
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(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) (/.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 (+.f64 1/2 (*.f64 -2 y)) (*.f64 -1 y))))
(log.f64 2)
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 (+.f64 1/2 (*.f64 -2 y)) (*.f64 -1 y)))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 (+.f64 1/2 (*.f64 -2 y)) (*.f64 -1 y))))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))))
(*.f64 x (-.f64 (*.f64 -2 y) (*.f64 -1 y)))
(log.f64 2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (-.f64 (*.f64 -2 y) (*.f64 -1 y))))
(log.f64 2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (-.f64 (*.f64 -2 y) (*.f64 -1 y))))
(log.f64 2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (-.f64 (*.f64 -2 y) (*.f64 -1 y))))
(log.f64 2)
(*.f64 -1 (*.f64 x (-.f64 (*.f64 2 y) y)))
(log.f64 2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x (-.f64 (*.f64 2 y) y))))
(log.f64 2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x (-.f64 (*.f64 2 y) y))))
(log.f64 2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x (-.f64 (*.f64 2 y) y))))
(log.f64 2)
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y (-.f64 (*.f64 -2 x) (*.f64 -1 x))))
(log.f64 2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y (-.f64 (*.f64 -2 x) (*.f64 -1 x))))
(log.f64 2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y (-.f64 (*.f64 -2 x) (*.f64 -1 x))))
(log.f64 2)
(*.f64 y (-.f64 (*.f64 -2 x) (*.f64 -1 x)))
(log.f64 2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y (-.f64 (*.f64 -2 x) (*.f64 -1 x))))
(log.f64 2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y (-.f64 (*.f64 -2 x) (*.f64 -1 x))))
(log.f64 2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y (-.f64 (*.f64 -2 x) (*.f64 -1 x))))
(log.f64 2)
(*.f64 -1 (*.f64 y (-.f64 (*.f64 2 x) x)))
(log.f64 2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y (-.f64 (*.f64 2 x) x))))
(log.f64 2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y (-.f64 (*.f64 2 x) x))))
(log.f64 2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y (-.f64 (*.f64 2 x) x))))
(log.f64 2)
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 (*.f64 -1 y))))
(log.f64 2)
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 (*.f64 -1 y)))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 (*.f64 -1 y))))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))))
(*.f64 x y)
(log.f64 2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(log.f64 2)
(*.f64 x y)
(log.f64 2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(log.f64 2)
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(log.f64 2)
(*.f64 x y)
(log.f64 2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(log.f64 2)
(*.f64 x y)
(log.f64 2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(log.f64 2)
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(log.f64 2)
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(*.f64 -2 (*.f64 x y))
(log.f64 2)
(*.f64 -2 (*.f64 x y))
(log.f64 2)
(*.f64 -2 (*.f64 x y))
(log.f64 2)
(*.f64 -2 (*.f64 x y))
(log.f64 2)
(*.f64 -2 (*.f64 x y))
(log.f64 2)
(*.f64 -2 (*.f64 x y))
(log.f64 2)
(*.f64 -2 (*.f64 x y))
(log.f64 2)
(*.f64 -2 (*.f64 x y))
(log.f64 2)
(*.f64 -2 (*.f64 x y))
(log.f64 2)
(*.f64 -2 (*.f64 x y))
(log.f64 2)
(*.f64 -2 (*.f64 x y))
(log.f64 2)
(*.f64 -2 (*.f64 x y))
(log.f64 2)
(*.f64 -2 (*.f64 x y))
(log.f64 2)
(*.f64 -2 (*.f64 x y))
(log.f64 2)
(*.f64 -2 (*.f64 x y))
(log.f64 2)
(*.f64 -2 (*.f64 x y))
(log.f64 2)
(*.f64 -2 (*.f64 x y))
(log.f64 2)
(*.f64 -2 (*.f64 x y))
(log.f64 2)
(*.f64 -2 (*.f64 x y))
(log.f64 2)
(*.f64 -2 (*.f64 x y))
(log.f64 2)
(*.f64 -2 (*.f64 x y))
(log.f64 2)
(*.f64 -2 (*.f64 x y))
(log.f64 2)
(*.f64 -2 (*.f64 x y))
(log.f64 2)
(*.f64 -2 (*.f64 x y))
(log.f64 2)
(*.f64 1/2 x)
(log.f64 2)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(log.f64 2)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(log.f64 2)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(log.f64 2)
(*.f64 -1 (*.f64 x y))
(log.f64 2)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(log.f64 2)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(log.f64 2)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(log.f64 2)
(*.f64 -1 (*.f64 x y))
(log.f64 2)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(log.f64 2)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(log.f64 2)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(log.f64 2)
(log.f64 2)
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(log.f64 2)
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(log.f64 2)
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(log.f64 2)
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(log.f64 2)
(*.f64 -1 (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(log.f64 2)
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(log.f64 2)
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
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(*.f64 (cbrt.f64 (*.f64 x y)) (+.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (pow.f64 (cbrt.f64 (*.f64 x y)) 2)))
(log.f64 2)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (+.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 x y))))
(log.f64 2)
(*.f64 (sqrt.f64 (*.f64 (*.f64 x y) 2)) (sqrt.f64 (*.f64 (*.f64 x y) 2)))
(log.f64 2)
(*.f64 (sqrt.f64 (*.f64 x y)) (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y))))
(log.f64 2)
(*.f64 (neg.f64 y) (+.f64 x x))
(log.f64 2)
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 x y) 2))))
(log.f64 2)
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 x y) 2)) (-.f64 (*.f64 x y) (*.f64 x y)))
(log.f64 2)
(pow.f64 (*.f64 (*.f64 x y) 2) 1)
(log.f64 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x y) 2)) 3)
(log.f64 2)
(pow.f64 (pow.f64 (*.f64 (*.f64 x y) 2) 3) 1/3)
(log.f64 2)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 x y) 2)) 2)
(log.f64 2)
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x y) 2) 2))
(log.f64 2)
(log.f64 (exp.f64 (*.f64 (*.f64 x y) 2)))
(log.f64 2)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x y) 2))))
(log.f64 2)
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x y) 2) 3))
(log.f64 2)
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x y) 2)))
(log.f64 2)
(exp.f64 (log.f64 (*.f64 (*.f64 x y) 2)))
(log.f64 2)
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x y) 2)) 1))
(log.f64 2)
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x y) 2)))
(log.f64 2)
(+.f64 (*.f64 x 1/2) (*.f64 x y))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(log.f64 2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(log.f64 2)
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 y 1/2))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2))
(log.f64 2)
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (*.f64 y (+.f64 y 1/2))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 y 1/2))
(log.f64 2)
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(log.f64 2)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(log.f64 2)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(log.f64 2)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(log.f64 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 2)
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(log.f64 2)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 2)
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(log.f64 2)
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(log.f64 2)
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(log.f64 2)
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1))
(log.f64 2)
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(log.f64 2)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)
(log.f64 2)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) (/.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(log.f64 2)
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(log.f64 2)
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(log.f64 2)
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))
(log.f64 2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(log.f64 2)
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(log.f64 2)
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))))
(log.f64 2)
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(log.f64 2)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))))
(log.f64 2)
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(log.f64 2)
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(log.f64 2)
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(log.f64 2)
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(log.f64 2)
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))))
(log.f64 2)
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(log.f64 2)
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(log.f64 2)
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(log.f64 2)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(log.f64 2)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(log.f64 2)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(log.f64 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 2)
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(log.f64 2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(log.f64 2)
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(log.f64 2)
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(log.f64 2)
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(log.f64 2)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(log.f64 2)
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(log.f64 2)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 2)
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(log.f64 2)
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(log.f64 2)
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(log.f64 2)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(log.f64 2)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(log.f64 2)
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(log.f64 2)
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(log.f64 2)
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(log.f64 2)
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(log.f64 2)
(*.f64 1 (log1p.f64 (exp.f64 x)))
(log.f64 2)
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(log.f64 2)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(log.f64 2)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1))
(log.f64 2)
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(log.f64 2)
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1))
(log.f64 2)
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(log.f64 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(log.f64 2)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(log.f64 2)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(log.f64 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 2)
(log.f64 (+.f64 (exp.f64 x) 1))
(log.f64 2)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(log.f64 2)
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(log.f64 2)
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log.f64 2)
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(log.f64 2)
(+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(log.f64 2)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)
(log.f64 2)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) (/.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(log.f64 2)
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(log.f64 2)
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(log.f64 2)
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))
(log.f64 2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(log.f64 2)
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(log.f64 2)
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))))
(log.f64 2)
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(log.f64 2)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))))
(log.f64 2)
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(log.f64 2)
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(log.f64 2)
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(log.f64 2)
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(log.f64 2)
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))))
(log.f64 2)
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(log.f64 2)
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(log.f64 2)
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(log.f64 2)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(log.f64 2)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(log.f64 2)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(log.f64 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 2)
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(log.f64 2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(log.f64 2)
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(log.f64 2)
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(log.f64 2)
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(log.f64 2)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(log.f64 2)
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(log.f64 2)

eval199.0ms (1.6%)

Compiler

Compiled 4221 to 2198 computations (47.9% saved)

prune43.0ms (0.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New2185223
Fresh123
Picked235
Done000
Total22110231
Accuracy
100.0%
Counts
231 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.4%
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
92.9%
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 (*.f64 x y) 2))
87.2%
(-.f64 (log.f64 2) (*.f64 x y))
75.9%
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
48.7%
(+.f64 (log.f64 2) (*.f64 1/2 x))
34.5%
(*.f64 x (-.f64 1/2 y))
51.8%
(*.f64 x (neg.f64 y))
50.3%
(log1p.f64 (exp.f64 x))
50.3%
(log.f64 (+.f64 (exp.f64 x) 1))
48.2%
(log.f64 2)
80.4%
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
92.9%
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 (*.f64 x y) 2))
87.2%
(-.f64 (log.f64 2) (*.f64 x y))
75.9%
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
48.7%
(+.f64 (log.f64 2) (*.f64 1/2 x))
34.5%
(*.f64 x (-.f64 1/2 y))
51.8%
(*.f64 x (neg.f64 y))
50.3%
(log1p.f64 (exp.f64 x))
50.3%
(log.f64 (+.f64 (exp.f64 x) 1))
48.2%
(log.f64 2)
Compiler

Compiled 292 to 222 computations (24% saved)

localize227.0ms (1.9%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (log.f64 2) (*.f64 x y))
100.0%
(*.f64 x (-.f64 1/2 y))
100.0%
(*.f64 (*.f64 x y) 2)
100.0%
(log1p.f64 (exp.f64 x))
100.0%
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
93.4%
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 (*.f64 x y) 2))
Compiler

Compiled 81 to 39 computations (51.9% saved)

series5.0ms (0%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 (*.f64 x y) 2))
0.0ms
x
@0
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 (*.f64 x y) 2))
0.0ms
y
@-inf
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 (*.f64 x y) 2))
0.0ms
x
@inf
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 (*.f64 x y) 2))
0.0ms
y
@inf
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 (*.f64 x y) 2))

rewrite242.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
1754×fma-def
846×log1p-expm1-u
846×expm1-log1p-u
436×expm1-udef
434×log1p-udef
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017126
1242104
23668100
Stop Event
node limit
Counts
4 → 329
Calls
Call 1
Inputs
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 (*.f64 x y) 2))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 (*.f64 x y) 2)
(-.f64 (log.f64 2) (*.f64 x y))
Outputs
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x y) -1))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 (*.f64 x y) -1) 1))
(+.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x y) -2)))
(+.f64 (*.f64 x y) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (*.f64 x 2))))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 (*.f64 x y) -2))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 (*.f64 (*.f64 x y) -2) 1))
(+.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (*.f64 y 2)) x (*.f64 y (*.f64 x 2))))
(+.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) (fma.f64 -2 (*.f64 x y) (*.f64 y (*.f64 x 2))))
(+.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) (fma.f64 (*.f64 y (neg.f64 x)) 2 (*.f64 y (*.f64 x 2))))
(+.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) (fma.f64 (*.f64 (*.f64 x y) -2) 1 (*.f64 y (*.f64 x 2))))
(+.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (*.f64 x 2)))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x 2))) 2) (*.f64 y (*.f64 x 2))))
(+.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y (*.f64 x 2)))) (sqrt.f64 (*.f64 y (*.f64 x 2))) (*.f64 y (*.f64 x 2))))
(+.f64 (*.f64 (*.f64 x y) -2) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(+.f64 (*.f64 (*.f64 x y) -1) (log1p.f64 (exp.f64 x)))
(*.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) 1)
(*.f64 1 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3) (*.f64 (pow.f64 (*.f64 x y) 3) 8)) (/.f64 1 (fma.f64 (*.f64 y (*.f64 x 2)) (fma.f64 x (*.f64 y 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2) (*.f64 (pow.f64 (*.f64 x y) 2) 4)) (/.f64 1 (fma.f64 x (*.f64 y 2) (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (sqrt.f64 (*.f64 y (*.f64 x 2)))) (-.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (sqrt.f64 (*.f64 y (*.f64 x 2)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 y (*.f64 x 2)) (fma.f64 x (*.f64 y 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2)) (-.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3) (*.f64 (pow.f64 (*.f64 x y) 3) 8))))
(/.f64 1 (/.f64 (fma.f64 x (*.f64 y 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (-.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2) (*.f64 (pow.f64 (*.f64 x y) 2) 4))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3) (*.f64 (pow.f64 (*.f64 x y) 3) 8)) (fma.f64 (*.f64 y (*.f64 x 2)) (fma.f64 x (*.f64 y 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2) (*.f64 (pow.f64 (*.f64 x y) 2) 4)) (fma.f64 x (*.f64 y 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3) (*.f64 (pow.f64 (*.f64 x y) 3) 8))) (neg.f64 (fma.f64 (*.f64 y (*.f64 x 2)) (fma.f64 x (*.f64 y 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2) (*.f64 (pow.f64 (*.f64 x y) 2) 4))) (neg.f64 (fma.f64 x (*.f64 y 2) (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 (*.f64 x y) -1) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 (*.f64 x y) -1) (*.f64 (*.f64 x y) -1)) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x y) -1)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3) (pow.f64 (*.f64 (*.f64 x y) -2) 3)) (+.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2) (-.f64 (*.f64 (*.f64 (*.f64 x y) -2) (*.f64 (*.f64 x y) -2)) (*.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 (*.f64 x y) -2)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 (*.f64 x y) -1) (*.f64 (*.f64 x y) -1))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x y) -1)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2) (*.f64 (*.f64 (*.f64 x y) -2) (*.f64 (*.f64 x y) -2))) (-.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 (*.f64 x y) -2)))
(pow.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x y) -2)))
(fma.f64 x y (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (*.f64 x 2))))
(fma.f64 x (neg.f64 (*.f64 y 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(fma.f64 x (-.f64 y (*.f64 y 2)) (log1p.f64 (exp.f64 x)))
(fma.f64 (log1p.f64 (exp.f64 x)) 1 (*.f64 (*.f64 x y) -1))
(fma.f64 (log1p.f64 (exp.f64 x)) 1 (*.f64 (*.f64 (*.f64 x y) -1) 1))
(fma.f64 y x (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x y) -2)))
(fma.f64 y x (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (*.f64 x 2))))
(fma.f64 (*.f64 x y) 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x y) -2)))
(fma.f64 (*.f64 x y) 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (*.f64 x 2))))
(fma.f64 (*.f64 x y) -2 (fma.f64 x y (log1p.f64 (exp.f64 x))))
(fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))
(fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 1 (*.f64 (*.f64 x y) -2))
(fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 1 (*.f64 (*.f64 (*.f64 x y) -2) 1))
(fma.f64 2 (*.f64 y (neg.f64 x)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(fma.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) 1 (fma.f64 (neg.f64 (*.f64 y 2)) x (*.f64 y (*.f64 x 2))))
(fma.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) 1 (fma.f64 -2 (*.f64 x y) (*.f64 y (*.f64 x 2))))
(fma.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) 1 (fma.f64 (*.f64 y (neg.f64 x)) 2 (*.f64 y (*.f64 x 2))))
(fma.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) 1 (fma.f64 (*.f64 (*.f64 x y) -2) 1 (*.f64 y (*.f64 x 2))))
(fma.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (*.f64 x 2)))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x 2))) 2) (*.f64 y (*.f64 x 2))))
(fma.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) 1 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y (*.f64 x 2)))) (sqrt.f64 (*.f64 y (*.f64 x 2))) (*.f64 y (*.f64 x 2))))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x y) -1))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 (*.f64 x y) -1) 1))
(fma.f64 1 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x y) -2)))
(fma.f64 1 (*.f64 x y) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (*.f64 x 2))))
(fma.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 (*.f64 x y) -2))
(fma.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 (*.f64 (*.f64 x y) -2) 1))
(fma.f64 1 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (*.f64 y 2)) x (*.f64 y (*.f64 x 2))))
(fma.f64 1 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) (fma.f64 -2 (*.f64 x y) (*.f64 y (*.f64 x 2))))
(fma.f64 1 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) (fma.f64 (*.f64 y (neg.f64 x)) 2 (*.f64 y (*.f64 x 2))))
(fma.f64 1 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) (fma.f64 (*.f64 (*.f64 x y) -2) 1 (*.f64 y (*.f64 x 2))))
(fma.f64 1 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (*.f64 x 2)))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x 2))) 2) (*.f64 y (*.f64 x 2))))
(fma.f64 1 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y (*.f64 x 2)))) (sqrt.f64 (*.f64 y (*.f64 x 2))) (*.f64 y (*.f64 x 2))))
(fma.f64 1 (*.f64 (*.f64 x y) -2) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(fma.f64 1 (*.f64 (*.f64 x y) -1) (log1p.f64 (exp.f64 x)))
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 (*.f64 x y) -1))
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 (*.f64 (*.f64 x y) -1) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (*.f64 x y) -1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (*.f64 (*.f64 x y) -1) 1))
(fma.f64 (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) 2) (fma.f64 (neg.f64 (*.f64 y 2)) x (*.f64 y (*.f64 x 2))))
(fma.f64 (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) 2) (fma.f64 -2 (*.f64 x y) (*.f64 y (*.f64 x 2))))
(fma.f64 (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) 2) (fma.f64 (*.f64 y (neg.f64 x)) 2 (*.f64 y (*.f64 x 2))))
(fma.f64 (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) 2) (fma.f64 (*.f64 (*.f64 x y) -2) 1 (*.f64 y (*.f64 x 2))))
(fma.f64 (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) 2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (*.f64 x 2)))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x 2))) 2) (*.f64 y (*.f64 x 2))))
(fma.f64 (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) 2) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y (*.f64 x 2)))) (sqrt.f64 (*.f64 y (*.f64 x 2))) (*.f64 y (*.f64 x 2))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) (fma.f64 (neg.f64 (*.f64 y 2)) x (*.f64 y (*.f64 x 2))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) (fma.f64 -2 (*.f64 x y) (*.f64 y (*.f64 x 2))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) (fma.f64 (*.f64 y (neg.f64 x)) 2 (*.f64 y (*.f64 x 2))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) (fma.f64 (*.f64 (*.f64 x y) -2) 1 (*.f64 y (*.f64 x 2))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (*.f64 x 2)))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x 2))) 2) (*.f64 y (*.f64 x 2))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y (*.f64 x 2)))) (sqrt.f64 (*.f64 y (*.f64 x 2))) (*.f64 y (*.f64 x 2))))
(fma.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2) (*.f64 (*.f64 x y) -2))
(fma.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2) (*.f64 (*.f64 (*.f64 x y) -2) 1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (*.f64 (*.f64 x y) -2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (*.f64 (*.f64 (*.f64 x y) -2) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x 2))) 2) (neg.f64 (cbrt.f64 (*.f64 y (*.f64 x 2)))) (fma.f64 x y (log1p.f64 (exp.f64 x))))
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(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (log1p.f64 1))
(fma.f64 (*.f64 (neg.f64 x) 1) y (log1p.f64 1))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log1p.f64 1))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log1p.f64 1))

simplify354.0ms (2.9%)

Algorithm
egg-herbie
Rules
1326×fma-neg
838×distribute-lft-neg-in
546×fma-def
456×div-sub
442×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059117992
1147115740
2436215722
Stop Event
node limit
Counts
425 → 392
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 (+.f64 1/2 y) (*.f64 2 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 (+.f64 1/2 y) (*.f64 2 y)))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 (+.f64 1/2 y) (*.f64 2 y))))))
(*.f64 x (-.f64 y (*.f64 2 y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (-.f64 y (*.f64 2 y))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (-.f64 y (*.f64 2 y))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (-.f64 y (*.f64 2 y))))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 y) (*.f64 -2 y))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 y) (*.f64 -2 y)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 y) (*.f64 -2 y)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 y) (*.f64 -2 y)))))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y (-.f64 x (*.f64 2 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y (-.f64 x (*.f64 2 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y (-.f64 x (*.f64 2 x))))
(*.f64 y (-.f64 x (*.f64 2 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y (-.f64 x (*.f64 2 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y (-.f64 x (*.f64 2 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y (-.f64 x (*.f64 2 x))))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 x) (*.f64 -2 x))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 x) (*.f64 -2 x)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 x) (*.f64 -2 x)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 x) (*.f64 -2 x)))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (+.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (+.f64 1/2 y)))))
(*.f64 x y)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(*.f64 x y)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(*.f64 x y)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(*.f64 x y)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x y) -1))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 (*.f64 x y) -1) 1))
(+.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x y) -2)))
(+.f64 (*.f64 x y) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (*.f64 x 2))))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 (*.f64 x y) -2))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 (*.f64 (*.f64 x y) -2) 1))
(+.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (*.f64 y 2)) x (*.f64 y (*.f64 x 2))))
(+.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) (fma.f64 -2 (*.f64 x y) (*.f64 y (*.f64 x 2))))
(+.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) (fma.f64 (*.f64 y (neg.f64 x)) 2 (*.f64 y (*.f64 x 2))))
(+.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) (fma.f64 (*.f64 (*.f64 x y) -2) 1 (*.f64 y (*.f64 x 2))))
(+.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (*.f64 x 2)))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x 2))) 2) (*.f64 y (*.f64 x 2))))
(+.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y (*.f64 x 2)))) (sqrt.f64 (*.f64 y (*.f64 x 2))) (*.f64 y (*.f64 x 2))))
(+.f64 (*.f64 (*.f64 x y) -2) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(+.f64 (*.f64 (*.f64 x y) -1) (log1p.f64 (exp.f64 x)))
(*.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) 1)
(*.f64 1 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3) (*.f64 (pow.f64 (*.f64 x y) 3) 8)) (/.f64 1 (fma.f64 (*.f64 y (*.f64 x 2)) (fma.f64 x (*.f64 y 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2) (*.f64 (pow.f64 (*.f64 x y) 2) 4)) (/.f64 1 (fma.f64 x (*.f64 y 2) (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (sqrt.f64 (*.f64 y (*.f64 x 2)))) (-.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (sqrt.f64 (*.f64 y (*.f64 x 2)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 y (*.f64 x 2)) (fma.f64 x (*.f64 y 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2)) (-.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3) (*.f64 (pow.f64 (*.f64 x y) 3) 8))))
(/.f64 1 (/.f64 (fma.f64 x (*.f64 y 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (-.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2) (*.f64 (pow.f64 (*.f64 x y) 2) 4))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3) (*.f64 (pow.f64 (*.f64 x y) 3) 8)) (fma.f64 (*.f64 y (*.f64 x 2)) (fma.f64 x (*.f64 y 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2) (*.f64 (pow.f64 (*.f64 x y) 2) 4)) (fma.f64 x (*.f64 y 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3) (*.f64 (pow.f64 (*.f64 x y) 3) 8))) (neg.f64 (fma.f64 (*.f64 y (*.f64 x 2)) (fma.f64 x (*.f64 y 2) (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2) (*.f64 (pow.f64 (*.f64 x y) 2) 4))) (neg.f64 (fma.f64 x (*.f64 y 2) (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 (*.f64 x y) -1) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 (*.f64 x y) -1) (*.f64 (*.f64 x y) -1)) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x y) -1)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3) (pow.f64 (*.f64 (*.f64 x y) -2) 3)) (+.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2) (-.f64 (*.f64 (*.f64 (*.f64 x y) -2) (*.f64 (*.f64 x y) -2)) (*.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 (*.f64 x y) -2)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 (*.f64 x y) -1) (*.f64 (*.f64 x y) -1))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x y) -1)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2) (*.f64 (*.f64 (*.f64 x y) -2) (*.f64 (*.f64 x y) -2))) (-.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 (*.f64 x y) -2)))
(pow.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x y) -2)))
(fma.f64 x y (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (*.f64 x 2))))
(fma.f64 x (neg.f64 (*.f64 y 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(fma.f64 x (-.f64 y (*.f64 y 2)) (log1p.f64 (exp.f64 x)))
(fma.f64 (log1p.f64 (exp.f64 x)) 1 (*.f64 (*.f64 x y) -1))
(fma.f64 (log1p.f64 (exp.f64 x)) 1 (*.f64 (*.f64 (*.f64 x y) -1) 1))
(fma.f64 y x (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x y) -2)))
(fma.f64 y x (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (*.f64 x 2))))
(fma.f64 (*.f64 x y) 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x y) -2)))
(fma.f64 (*.f64 x y) 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (*.f64 x 2))))
(fma.f64 (*.f64 x y) -2 (fma.f64 x y (log1p.f64 (exp.f64 x))))
(fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x)))
(fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 1 (*.f64 (*.f64 x y) -2))
(fma.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 1 (*.f64 (*.f64 (*.f64 x y) -2) 1))
(fma.f64 2 (*.f64 y (neg.f64 x)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(fma.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) 1 (fma.f64 (neg.f64 (*.f64 y 2)) x (*.f64 y (*.f64 x 2))))
(fma.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) 1 (fma.f64 -2 (*.f64 x y) (*.f64 y (*.f64 x 2))))
(fma.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) 1 (fma.f64 (*.f64 y (neg.f64 x)) 2 (*.f64 y (*.f64 x 2))))
(fma.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) 1 (fma.f64 (*.f64 (*.f64 x y) -2) 1 (*.f64 y (*.f64 x 2))))
(fma.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (*.f64 x 2)))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x 2))) 2) (*.f64 y (*.f64 x 2))))
(fma.f64 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) 1 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y (*.f64 x 2)))) (sqrt.f64 (*.f64 y (*.f64 x 2))) (*.f64 y (*.f64 x 2))))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x y) -1))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 (*.f64 x y) -1) 1))
(fma.f64 1 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x y) -2)))
(fma.f64 1 (*.f64 x y) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (*.f64 x 2))))
(fma.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 (*.f64 x y) -2))
(fma.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x))) (*.f64 (*.f64 (*.f64 x y) -2) 1))
(fma.f64 1 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (*.f64 y 2)) x (*.f64 y (*.f64 x 2))))
(fma.f64 1 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) (fma.f64 -2 (*.f64 x y) (*.f64 y (*.f64 x 2))))
(fma.f64 1 (fma.f64 (*.f64 x y) -1 (log1p.f64 (exp.f64 x))) (fma.f64 (*.f64 y (neg.f64 x)) 2 (*.f64 y (*.f64 x 2))))
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(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 x) (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 y (neg.f64 x) (log1p.f64 1))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 x) (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 y (neg.f64 x) (log1p.f64 1))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 x) (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 y (neg.f64 x) (log1p.f64 1))) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 x) (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 y (neg.f64 x) (log1p.f64 1))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 x) (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 y (neg.f64 x) (log1p.f64 1))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (neg.f64 (cbrt.f64 (*.f64 x y))) (log1p.f64 1))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 (*.f64 y (neg.f64 x)) 1))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 x) (log1p.f64 1))) (sqrt.f64 (fma.f64 y (neg.f64 x) (log1p.f64 1))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 x) (log1p.f64 1))) (sqrt.f64 (fma.f64 y (neg.f64 x) (log1p.f64 1))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 x) (log1p.f64 1))) (sqrt.f64 (fma.f64 y (neg.f64 x) (log1p.f64 1))) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 x) (log1p.f64 1))) (sqrt.f64 (fma.f64 y (neg.f64 x) (log1p.f64 1))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 x) (log1p.f64 1))) (sqrt.f64 (fma.f64 y (neg.f64 x) (log1p.f64 1))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))) (log1p.f64 1))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2))) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 1))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 1))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 1))) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 1))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 1))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 1))
(fma.f64 (neg.f64 y) x (log1p.f64 1))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (log1p.f64 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y (neg.f64 x))) (cbrt.f64 (*.f64 y (neg.f64 x)))) (cbrt.f64 (*.f64 y (neg.f64 x))) (log1p.f64 1))
(fma.f64 (sqrt.f64 (*.f64 y (neg.f64 x))) (sqrt.f64 (*.f64 y (neg.f64 x))) (log1p.f64 1))
(fma.f64 -1 (*.f64 x y) (log1p.f64 1))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (log1p.f64 1))
(fma.f64 (*.f64 (neg.f64 x) 1) y (log1p.f64 1))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log1p.f64 1))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log1p.f64 1))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 (+.f64 1/2 y) (*.f64 2 y))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 (+.f64 1/2 y) (*.f64 y -2))))
(fma.f64 x (+.f64 1/2 (neg.f64 y)) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 (+.f64 1/2 y) (*.f64 2 y)))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (+.f64 (+.f64 1/2 y) (*.f64 y -2)))))
(+.f64 (log.f64 2) (fma.f64 x (+.f64 1/2 (neg.f64 y)) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 (+.f64 1/2 y) (*.f64 2 y))))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (+.f64 (+.f64 1/2 y) (*.f64 y -2))))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) (fma.f64 x (+.f64 1/2 (neg.f64 y)) (log.f64 2)))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 x (-.f64 y (*.f64 2 y)))
(*.f64 x (+.f64 y (*.f64 y -2)))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (-.f64 y (*.f64 2 y))))
(fma.f64 x (+.f64 y (*.f64 y -2)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (-.f64 y (*.f64 2 y))))
(fma.f64 x (+.f64 y (*.f64 y -2)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (-.f64 y (*.f64 2 y))))
(fma.f64 x (+.f64 y (*.f64 y -2)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 y) (*.f64 -2 y))))
(*.f64 x (+.f64 y (*.f64 y -2)))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 y) (*.f64 -2 y)))))
(fma.f64 x (+.f64 y (*.f64 y -2)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 y) (*.f64 -2 y)))))
(fma.f64 x (+.f64 y (*.f64 y -2)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 y) (*.f64 -2 y)))))
(fma.f64 x (+.f64 y (*.f64 y -2)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y (-.f64 x (*.f64 2 x))))
(fma.f64 x (+.f64 y (*.f64 y -2)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y (-.f64 x (*.f64 2 x))))
(fma.f64 x (+.f64 y (*.f64 y -2)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y (-.f64 x (*.f64 2 x))))
(fma.f64 x (+.f64 y (*.f64 y -2)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 y (-.f64 x (*.f64 2 x)))
(*.f64 x (+.f64 y (*.f64 y -2)))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y (-.f64 x (*.f64 2 x))))
(fma.f64 x (+.f64 y (*.f64 y -2)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y (-.f64 x (*.f64 2 x))))
(fma.f64 x (+.f64 y (*.f64 y -2)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 y (-.f64 x (*.f64 2 x))))
(fma.f64 x (+.f64 y (*.f64 y -2)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 x) (*.f64 -2 x))))
(*.f64 x (+.f64 y (*.f64 y -2)))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 x) (*.f64 -2 x)))))
(fma.f64 x (+.f64 y (*.f64 y -2)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 x) (*.f64 -2 x)))))
(fma.f64 x (+.f64 y (*.f64 y -2)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 x) (*.f64 -2 x)))))
(fma.f64 x (+.f64 y (*.f64 y -2)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y)))
(fma.f64 x (+.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (+.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (+.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (+.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (+.f64 1/2 y)))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (+.f64 1/2 y)))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) (fma.f64 x (+.f64 1/2 y) (log.f64 2)))
(*.f64 x y)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(*.f64 x y)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(*.f64 x y)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(*.f64 x y)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(*.f64 2 (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (+.f64 y (*.f64 y -2)))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (+.f64 y (*.f64 y -2)))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
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(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
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(fma.f64 x (+.f64 y (*.f64 y -2)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
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(fma.f64 x (neg.f64 y) (log1p.f64 1))
(-.f64 (log1p.f64 1) (*.f64 x y))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log1p.f64 1))
(-.f64 (log1p.f64 1) (*.f64 x y))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(fma.f64 x (neg.f64 y) (log1p.f64 1))
(-.f64 (log1p.f64 1) (*.f64 x y))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (log1p.f64 1))
(fma.f64 x (neg.f64 y) (log1p.f64 1))
(-.f64 (log1p.f64 1) (*.f64 x y))
(fma.f64 (*.f64 (neg.f64 x) 1) y (log1p.f64 1))
(fma.f64 x (neg.f64 y) (log1p.f64 1))
(-.f64 (log1p.f64 1) (*.f64 x y))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log1p.f64 1))
(fma.f64 x (neg.f64 y) (log1p.f64 1))
(-.f64 (log1p.f64 1) (*.f64 x y))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log1p.f64 1))
(fma.f64 x (neg.f64 y) (log1p.f64 1))
(-.f64 (log1p.f64 1) (*.f64 x y))

eval418.0ms (3.4%)

Compiler

Compiled 8649 to 3911 computations (54.8% saved)

prune129.0ms (1.1%)

Pruning

13 alts after pruning (7 fresh and 6 done)

PrunedKeptTotal
New4305435
Fresh022
Picked145
Done123
Total43213445
Accuracy
100.0%
Counts
445 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.2%
(fma.f64 (neg.f64 y) x (log1p.f64 1))
73.4%
(-.f64 (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 x y) 2))
87.2%
(-.f64 (log.f64 2) (*.f64 x y))
3.0%
(+.f64 (*.f64 x 1/2) (*.f64 x y))
34.5%
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
75.9%
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
48.7%
(+.f64 (log.f64 2) (*.f64 1/2 x))
34.5%
(*.f64 x (-.f64 1/2 y))
51.8%
(*.f64 x (neg.f64 y))
3.7%
(*.f64 1/2 x)
50.3%
(log1p.f64 (exp.f64 x))
50.3%
(log.f64 (+.f64 (exp.f64 x) 1))
48.2%
(log.f64 2)
87.2%
(fma.f64 (neg.f64 y) x (log1p.f64 1))
73.4%
(-.f64 (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 x y) 2))
87.2%
(-.f64 (log.f64 2) (*.f64 x y))
3.0%
(+.f64 (*.f64 x 1/2) (*.f64 x y))
34.5%
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
75.9%
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
48.7%
(+.f64 (log.f64 2) (*.f64 1/2 x))
34.5%
(*.f64 x (-.f64 1/2 y))
51.8%
(*.f64 x (neg.f64 y))
3.7%
(*.f64 1/2 x)
50.3%
(log1p.f64 (exp.f64 x))
50.3%
(log.f64 (+.f64 (exp.f64 x) 1))
48.2%
(log.f64 2)
Compiler

Compiled 356 to 272 computations (23.6% saved)

localize805.0ms (6.6%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (*.f64 x 1/8) (-.f64 1/2 y))
100.0%
(*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))
100.0%
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
100.0%
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
100.0%
(+.f64 (*.f64 x 1/2) (*.f64 x y))
100.0%
(fma.f64 (neg.f64 y) x (log1p.f64 1))
Compiler

Compiled 102 to 60 computations (41.2% saved)

series16.0ms (0.1%)

Counts
6 → 135
Calls

36 calls:

TimeVariablePointExpression
5.0ms
y
@-inf
(+.f64 (*.f64 x 1/2) (*.f64 x y))
2.0ms
y
@0
(fma.f64 (neg.f64 y) x (log1p.f64 1))
1.0ms
x
@0
(fma.f64 (neg.f64 y) x (log1p.f64 1))
1.0ms
y
@0
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
0.0ms
x
@-inf
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))

rewrite217.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
677×log1p-expm1-u
554×expm1-udef
554×log1p-udef
352×associate-*r*
220×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029152
1414144
26154144
Stop Event
node limit
Counts
6 → 266
Calls
Call 1
Inputs
(fma.f64 (neg.f64 y) x (log1p.f64 1))
(+.f64 (*.f64 x 1/2) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
(*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))
(+.f64 (*.f64 x 1/8) (-.f64 1/2 y))
Outputs
(+.f64 (log.f64 2) (*.f64 y x))
(+.f64 (*.f64 y x) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x (log.f64 2)))) 1)
(*.f64 1 (fma.f64 y x (log.f64 2)))
(*.f64 (fma.f64 y x (log.f64 2)) 1)
(*.f64 (cbrt.f64 (fma.f64 y x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 y x (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x (log.f64 2))) 2) (cbrt.f64 (fma.f64 y x (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 y x (log.f64 2))) (sqrt.f64 (fma.f64 y x (log.f64 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 y x) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 y x) (log.f64 2)))
(pow.f64 (fma.f64 y x (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 y x (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 y x (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y x (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 y x (log.f64 2)) 2))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y x (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 y x (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 y x (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 y x (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y x (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 y x (log.f64 2))))
(-.f64 (*.f64 x 1/2) (*.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 x (+.f64 y 1/2))) (/.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (+.f64 y 1/2))))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (+.f64 (*.f64 y x) (*.f64 -1/2 x))) (/.f64 (*.f64 (pow.f64 x 2) 1/4) (+.f64 (*.f64 y x) (*.f64 -1/2 x))))
(*.f64 x (+.f64 y 1/2))
(*.f64 1 (*.f64 x (+.f64 y 1/2)))
(*.f64 (*.f64 x (+.f64 y 1/2)) 1)
(*.f64 (+.f64 y 1/2) x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2) (*.f64 (cbrt.f64 (+.f64 y 1/2)) x))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2) (cbrt.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 y 1/2)))
(*.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (/.f64 1 (*.f64 x (+.f64 y 1/2))))
(*.f64 (sqrt.f64 (+.f64 y 1/2)) (*.f64 (sqrt.f64 (+.f64 y 1/2)) x))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) (sqrt.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y 1/2)))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 x 2) 1/4)) (/.f64 1 (+.f64 (*.f64 y x) (*.f64 -1/2 x))))
(*.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (*.f64 x (*.f64 1/2 (*.f64 y x))))))
(*.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 x 1/2) (*.f64 x (+.f64 y 1/2))))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 y 1/2)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 y 1/2)) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 y x))))
(*.f64 (*.f64 (+.f64 y 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 y 1/2) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (cbrt.f64 (+.f64 y 1/2)))
(*.f64 (*.f64 x (sqrt.f64 (+.f64 y 1/2))) (sqrt.f64 (+.f64 y 1/2)))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (*.f64 x (*.f64 1/2 (*.f64 y x)))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 y x) 3))))
(/.f64 1 (/.f64 (*.f64 x (+.f64 y 1/2)) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 x 1/2) (*.f64 x (+.f64 y 1/2)))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 y x) 3))))
(/.f64 1 (/.f64 (+.f64 (*.f64 y x) (*.f64 -1/2 x)) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 x 2) 1/4))))
(/.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (*.f64 x (+.f64 y 1/2)))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 x 2) 1/4)) (+.f64 (*.f64 y x) (*.f64 -1/2 x)))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 y x) 3)) (-.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (*.f64 x (*.f64 1/2 (*.f64 y x)))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 y x) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 x 1/2) (*.f64 x (+.f64 y 1/2)))))
(/.f64 (neg.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)) (neg.f64 (*.f64 x (+.f64 y 1/2))))
(/.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 y x) 3))) (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (*.f64 x (*.f64 1/2 (*.f64 y x))))))
(/.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 y x) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 x 1/2) (*.f64 x (+.f64 y 1/2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 x 2) 1/4))) (neg.f64 (+.f64 (*.f64 y x) (*.f64 -1/2 x))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 y x) 3)) (-.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (*.f64 x (*.f64 1/2 (*.f64 y x)))))
(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 y 1/2))))
(/.f64 (*.f64 x (+.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (*.f64 y (+.f64 y 1/2))))
(/.f64 (*.f64 (+.f64 1/4 (pow.f64 y 2)) x) (+.f64 y 1/2))
(pow.f64 (*.f64 x (+.f64 y 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y 1/2)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) 1/2) (pow.f64 (exp.f64 x) y)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y 1/2) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 y 1/2) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y 1/2))) 1))
(exp.f64 (+.f64 (log.f64 (+.f64 y 1/2)) (log.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y 1/2))))
(fma.f64 y x (*.f64 x 1/2))
(fma.f64 x y (*.f64 x 1/2))
(fma.f64 x 1/2 (*.f64 y x))
(fma.f64 1 (*.f64 y x) (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (*.f64 y x))
(fma.f64 1/2 x (*.f64 y x))
(fma.f64 -1 (*.f64 y x) (*.f64 x 1/2))
(fma.f64 (*.f64 y x) -1 (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 x 1/2))
(fma.f64 (neg.f64 x) y (*.f64 x 1/2))
(-.f64 (*.f64 x 1/2) (*.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 x (+.f64 y 1/2))) (/.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (+.f64 y 1/2))))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (+.f64 (*.f64 y x) (*.f64 -1/2 x))) (/.f64 (*.f64 (pow.f64 x 2) 1/4) (+.f64 (*.f64 y x) (*.f64 -1/2 x))))
(*.f64 x (+.f64 y 1/2))
(*.f64 1 (*.f64 x (+.f64 y 1/2)))
(*.f64 (*.f64 x (+.f64 y 1/2)) 1)
(*.f64 (+.f64 y 1/2) x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2) (*.f64 (cbrt.f64 (+.f64 y 1/2)) x))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2) (cbrt.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 y 1/2)))
(*.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (/.f64 1 (*.f64 x (+.f64 y 1/2))))
(*.f64 (sqrt.f64 (+.f64 y 1/2)) (*.f64 (sqrt.f64 (+.f64 y 1/2)) x))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) (sqrt.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y 1/2)))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 x 2) 1/4)) (/.f64 1 (+.f64 (*.f64 y x) (*.f64 -1/2 x))))
(*.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (*.f64 x (*.f64 1/2 (*.f64 y x))))))
(*.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 x 1/2) (*.f64 x (+.f64 y 1/2))))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 y 1/2)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 y 1/2)) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 y x))))
(*.f64 (*.f64 (+.f64 y 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 y 1/2) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (cbrt.f64 (+.f64 y 1/2)))
(*.f64 (*.f64 x (sqrt.f64 (+.f64 y 1/2))) (sqrt.f64 (+.f64 y 1/2)))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (*.f64 x (*.f64 1/2 (*.f64 y x)))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 y x) 3))))
(/.f64 1 (/.f64 (*.f64 x (+.f64 y 1/2)) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 x 1/2) (*.f64 x (+.f64 y 1/2)))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 y x) 3))))
(/.f64 1 (/.f64 (+.f64 (*.f64 y x) (*.f64 -1/2 x)) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 x 2) 1/4))))
(/.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (*.f64 x (+.f64 y 1/2)))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 x 2) 1/4)) (+.f64 (*.f64 y x) (*.f64 -1/2 x)))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 y x) 3)) (-.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (*.f64 x (*.f64 1/2 (*.f64 y x)))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 y x) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 x 1/2) (*.f64 x (+.f64 y 1/2)))))
(/.f64 (neg.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)) (neg.f64 (*.f64 x (+.f64 y 1/2))))
(/.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 y x) 3))) (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (*.f64 x (*.f64 1/2 (*.f64 y x))))))
(/.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 y x) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 x 1/2) (*.f64 x (+.f64 y 1/2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (pow.f64 x 2) 1/4))) (neg.f64 (+.f64 (*.f64 y x) (*.f64 -1/2 x))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 y x) 3)) (-.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (*.f64 x (*.f64 1/2 (*.f64 y x)))))
(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 y 1/2))))
(/.f64 (*.f64 x (+.f64 1/4 (pow.f64 y 2))) (+.f64 y 1/2))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (*.f64 y (+.f64 y 1/2))))
(/.f64 (*.f64 (+.f64 1/4 (pow.f64 y 2)) x) (+.f64 y 1/2))
(pow.f64 (*.f64 x (+.f64 y 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y 1/2)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) 1/2) (pow.f64 (exp.f64 x) y)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y 1/2) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 y 1/2) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y 1/2))) 1))
(exp.f64 (+.f64 (log.f64 (+.f64 y 1/2)) (log.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y 1/2))))
(fma.f64 y x (*.f64 x 1/2))
(fma.f64 x y (*.f64 x 1/2))
(fma.f64 x 1/2 (*.f64 y x))
(fma.f64 1 (*.f64 y x) (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (*.f64 y x))
(fma.f64 1/2 x (*.f64 y x))
(fma.f64 -1 (*.f64 y x) (*.f64 x 1/2))
(fma.f64 (*.f64 y x) -1 (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 x 1/2))
(fma.f64 (neg.f64 x) y (*.f64 x 1/2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)))) (/.f64 (pow.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)) 2) (-.f64 (log.f64 2) (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)))))
(*.f64 1 (fma.f64 x (+.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)))
(*.f64 (fma.f64 x (+.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) 1)
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (+.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) (sqrt.f64 (fma.f64 x (+.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)) (-.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)) (-.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)) (-.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (log.f64 2) x) (+.f64 (fma.f64 x 1/8 1/2) y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)) 2)) (-.f64 (log.f64 2) (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)) (-.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)) 2))) (neg.f64 (-.f64 (log.f64 2) (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2)))
(pow.f64 (fma.f64 x (+.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 (+.f64 (fma.f64 x 1/8 1/2) y)) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (+.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))))
(fma.f64 x (+.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 1 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)) (log.f64 2))
(fma.f64 (+.f64 (fma.f64 x 1/8 1/2) y) x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y))) 2) (cbrt.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y))) (sqrt.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y))) (log.f64 2))
(+.f64 (*.f64 x (+.f64 y 1/2)) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (+.f64 y 1/2)))
(+.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) 1) (*.f64 x (+.f64 y 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 1/8 (pow.f64 x 2)) 3) (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)) (+.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 2))) (-.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (+.f64 y 1/2))))))
(/.f64 (-.f64 (*.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 2))) (pow.f64 (*.f64 x (+.f64 y 1/2)) 2)) (-.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (+.f64 y 1/2))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (+.f64 y 1/2) 3) (*.f64 (pow.f64 x 3) 1/512))) (+.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (+.f64 y 1/2) (-.f64 (+.f64 y 1/2) (*.f64 x 1/8)))))
(/.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (+.f64 y 1/2) 2))) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 y 1/2) 3) (*.f64 (pow.f64 x 3) 1/512)) x) (+.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (+.f64 y 1/2) (-.f64 (+.f64 y 1/2) (*.f64 x 1/8)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (+.f64 y 1/2) 2)) x) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y))
(pow.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 (fma.f64 x 1/8 1/2) y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y))))
(exp.f64 (log.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 (fma.f64 x 1/8 1/2) y))))
(fma.f64 x (*.f64 x 1/8) (*.f64 x (+.f64 y 1/2)))
(fma.f64 (*.f64 x 1/8) x (*.f64 x (+.f64 y 1/2)))
(-.f64 1/2 (-.f64 y (*.f64 x 1/8)))
(-.f64 (fma.f64 x 1/8 1/2) y)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 x 1/8 1/2) y))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/64) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y)) (/.f64 (pow.f64 (+.f64 y 1/2) 2) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y)))
(*.f64 1 (+.f64 (fma.f64 x 1/8 1/2) y))
(*.f64 (+.f64 (fma.f64 x 1/8 1/2) y) 1)
(*.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/8 1/2) y)) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/8 1/2) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/8 1/2) y)) 2) (cbrt.f64 (+.f64 (fma.f64 x 1/8 1/2) y)))
(*.f64 (sqrt.f64 (+.f64 (fma.f64 x 1/8 1/2) y)) (sqrt.f64 (+.f64 (fma.f64 x 1/8 1/2) y)))
(*.f64 (+.f64 (pow.f64 (+.f64 y 1/2) 3) (*.f64 (pow.f64 x 3) 1/512)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (+.f64 y 1/2) (-.f64 (+.f64 y 1/2) (*.f64 x 1/8))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (+.f64 y 1/2) 2)) (/.f64 1 (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y)))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (+.f64 y 1/2) (-.f64 (+.f64 y 1/2) (*.f64 x 1/8)))) (+.f64 (pow.f64 (+.f64 y 1/2) 3) (*.f64 (pow.f64 x 3) 1/512))))
(/.f64 1 (/.f64 (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y) (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (+.f64 y 1/2) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 y 1/2) 3) (*.f64 (pow.f64 x 3) 1/512)) (+.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (+.f64 y 1/2) (-.f64 (+.f64 y 1/2) (*.f64 x 1/8)))))
(/.f64 (+.f64 (pow.f64 (+.f64 y 1/2) 3) (*.f64 (pow.f64 x 3) 1/512)) (+.f64 (pow.f64 (+.f64 y 1/2) 2) (-.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 x (*.f64 1/8 (+.f64 y 1/2))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (+.f64 y 1/2) 2)) (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 y 1/2) 3) (*.f64 (pow.f64 x 3) 1/512))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/64) (*.f64 (+.f64 y 1/2) (-.f64 (+.f64 y 1/2) (*.f64 x 1/8))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/64) (pow.f64 (+.f64 y 1/2) 2))) (neg.f64 (+.f64 (-.f64 (*.f64 x 1/8) 1/2) y)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/8 1/2) 3) (pow.f64 y 3)) (+.f64 (*.f64 (fma.f64 x 1/8 1/2) (fma.f64 x 1/8 1/2)) (+.f64 (pow.f64 y 2) (*.f64 (fma.f64 x 1/8 1/2) y))))
(/.f64 (-.f64 (pow.f64 (+.f64 y 1/2) 2) (*.f64 (pow.f64 x 2) 1/64)) (-.f64 (+.f64 y 1/2) (*.f64 x 1/8)))
(/.f64 (-.f64 (*.f64 (fma.f64 x 1/8 1/2) (fma.f64 x 1/8 1/2)) (pow.f64 y 2)) (+.f64 (fma.f64 x 1/8 1/2) y))
(pow.f64 (+.f64 (fma.f64 x 1/8 1/2) y) 1)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/8 1/2) y)) 3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 x 1/8 1/2) y) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 x 1/8 1/2) y)) 2)
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 x 1/8 1/2) y) 2))
(log.f64 (exp.f64 (+.f64 (fma.f64 x 1/8 1/2) y)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 x 1/8 1/2) y))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 x 1/8 1/2) y) 3))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 x 1/8 1/2) y)))
(exp.f64 (log.f64 (+.f64 (fma.f64 x 1/8 1/2) y)))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 x 1/8 1/2) y)) 1))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 x 1/8 (+.f64 y 1/2))
(fma.f64 1 (*.f64 x 1/8) (+.f64 y 1/2))
(fma.f64 1 (+.f64 y 1/2) (*.f64 x 1/8))
(fma.f64 1/8 x (+.f64 y 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2) (cbrt.f64 (+.f64 y 1/2)) (*.f64 x 1/8))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/64)) (cbrt.f64 (*.f64 x 1/8)) (+.f64 y 1/2))
(fma.f64 (sqrt.f64 (+.f64 y 1/2)) (sqrt.f64 (+.f64 y 1/2)) (*.f64 x 1/8))
(fma.f64 (sqrt.f64 (*.f64 x 1/8)) (sqrt.f64 (*.f64 x 1/8)) (+.f64 y 1/2))

simplify449.0ms (3.7%)

Algorithm
egg-herbie
Rules
1034×fma-neg
1012×distribute-lft-neg-in
684×log-prod
538×associate-*r*
478×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047514225
1122313574
2472713528
Stop Event
node limit
Counts
401 → 296
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
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(/.f64 (-.f64 (pow.f64 (+.f64 y 1/2) 2) (*.f64 (pow.f64 x 2) 1/64)) (-.f64 (+.f64 y 1/2) (*.f64 x 1/8)))
(/.f64 (-.f64 (*.f64 (fma.f64 x 1/8 1/2) (fma.f64 x 1/8 1/2)) (pow.f64 y 2)) (+.f64 (fma.f64 x 1/8 1/2) y))
(pow.f64 (+.f64 (fma.f64 x 1/8 1/2) y) 1)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/8 1/2) y)) 3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 x 1/8 1/2) y) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 x 1/8 1/2) y)) 2)
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 x 1/8 1/2) y) 2))
(log.f64 (exp.f64 (+.f64 (fma.f64 x 1/8 1/2) y)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 x 1/8 1/2) y))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 x 1/8 1/2) y) 3))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 x 1/8 1/2) y)))
(exp.f64 (log.f64 (+.f64 (fma.f64 x 1/8 1/2) y)))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 x 1/8 1/2) y)) 1))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 x 1/8 1/2) y)))
(fma.f64 x 1/8 (+.f64 y 1/2))
(fma.f64 1 (*.f64 x 1/8) (+.f64 y 1/2))
(fma.f64 1 (+.f64 y 1/2) (*.f64 x 1/8))
(fma.f64 1/8 x (+.f64 y 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2) (cbrt.f64 (+.f64 y 1/2)) (*.f64 x 1/8))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/64)) (cbrt.f64 (*.f64 x 1/8)) (+.f64 y 1/2))
(fma.f64 (sqrt.f64 (+.f64 y 1/2)) (sqrt.f64 (+.f64 y 1/2)) (*.f64 x 1/8))
(fma.f64 (sqrt.f64 (*.f64 x 1/8)) (sqrt.f64 (*.f64 x 1/8)) (+.f64 y 1/2))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(fma.f64 (neg.f64 x) y (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(fma.f64 (neg.f64 x) y (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(fma.f64 (neg.f64 x) y (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(fma.f64 (neg.f64 x) y (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(fma.f64 (neg.f64 x) y (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(fma.f64 (neg.f64 x) y (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(fma.f64 (neg.f64 x) y (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(fma.f64 (neg.f64 x) y (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(fma.f64 (neg.f64 x) y (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(fma.f64 (neg.f64 x) y (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(fma.f64 (neg.f64 x) y (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(fma.f64 (neg.f64 x) y (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(fma.f64 (neg.f64 x) y (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(fma.f64 (neg.f64 x) y (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(fma.f64 (neg.f64 x) y (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(fma.f64 (neg.f64 x) y (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(fma.f64 (neg.f64 x) y (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(fma.f64 (neg.f64 x) y (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 y 1/2))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 y 1/2))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 y 1/2))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 y 1/2))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 y 1/2))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 y 1/2))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 y 1/2))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 y 1/2))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(*.f64 x (+.f64 y 1/2))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(*.f64 x (+.f64 y 1/2))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(*.f64 x (+.f64 y 1/2))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(*.f64 x (+.f64 y 1/2))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 y 1/2))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 y 1/2))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 y 1/2))
(*.f64 x y)
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 y 1/2))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 y 1/2))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 y 1/2))
(*.f64 x y)
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 y 1/2))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 y 1/2))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x (+.f64 y 1/2))
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 x (-.f64 y 1/2)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 x (-.f64 y 1/2)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 x (-.f64 y 1/2)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 x (-.f64 y 1/2)))
(*.f64 x (-.f64 1/2 y))
(*.f64 1/2 x)
(*.f64 x 1/2)
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2))))
(-.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) (*.f64 x y))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2))))
(-.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) (*.f64 x y))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2))))
(-.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) (*.f64 x y))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2))))
(-.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) (*.f64 x y))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2))))
(-.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) (*.f64 x y))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2))))
(-.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(+.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2))))
(-.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) (*.f64 x y))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2))))
(-.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) (*.f64 x y))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2))))
(-.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2))))
(-.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) (*.f64 x y))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2))))
(-.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) (*.f64 x y))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2))))
(-.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2))))
(-.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) (*.f64 x y))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2))))
(-.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) (*.f64 x y))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 x (+.f64 1/2 (*.f64 1/8 x)))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2))))
(-.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) (*.f64 x y))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(*.f64 1/8 (pow.f64 x 2))
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(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/8 1/2) 3) (pow.f64 y 3)) (+.f64 (*.f64 (fma.f64 x 1/8 1/2) (fma.f64 x 1/8 1/2)) (+.f64 (pow.f64 y 2) (*.f64 (fma.f64 x 1/8 1/2) y))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/8 1/2) 3) (pow.f64 y 3)) (fma.f64 (fma.f64 x 1/8 1/2) (fma.f64 x 1/8 1/2) (+.f64 (pow.f64 y 2) (*.f64 y (fma.f64 x 1/8 1/2)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/8 1/2) 3) (pow.f64 y 3)) (fma.f64 (fma.f64 x 1/8 1/2) (fma.f64 x 1/8 1/2) (*.f64 y (+.f64 y (fma.f64 x 1/8 1/2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 y 1/2) 2) (*.f64 (pow.f64 x 2) 1/64)) (-.f64 (+.f64 y 1/2) (*.f64 x 1/8)))
(/.f64 (+.f64 (pow.f64 (+.f64 y 1/2) 2) (*.f64 (pow.f64 x 2) -1/64)) (+.f64 (+.f64 y 1/2) (*.f64 x -1/8)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/64 (pow.f64 (+.f64 y 1/2) 2)) (+.f64 y (+.f64 1/2 (*.f64 x -1/8))))
(/.f64 (-.f64 (*.f64 (fma.f64 x 1/8 1/2) (fma.f64 x 1/8 1/2)) (pow.f64 y 2)) (+.f64 (fma.f64 x 1/8 1/2) y))
(/.f64 (-.f64 (*.f64 (fma.f64 x 1/8 1/2) (fma.f64 x 1/8 1/2)) (pow.f64 y 2)) (+.f64 y (fma.f64 x 1/8 1/2)))
(pow.f64 (+.f64 (fma.f64 x 1/8 1/2) y) 1)
(+.f64 y (fma.f64 x 1/8 1/2))
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/8 1/2) y)) 3)
(+.f64 y (fma.f64 x 1/8 1/2))
(pow.f64 (pow.f64 (+.f64 (fma.f64 x 1/8 1/2) y) 3) 1/3)
(+.f64 y (fma.f64 x 1/8 1/2))
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 x 1/8 1/2) y)) 2)
(+.f64 y (fma.f64 x 1/8 1/2))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 x 1/8 1/2) y) 2))
(+.f64 y (fma.f64 x 1/8 1/2))
(log.f64 (exp.f64 (+.f64 (fma.f64 x 1/8 1/2) y)))
(+.f64 y (fma.f64 x 1/8 1/2))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 x 1/8 1/2) y))))
(+.f64 y (fma.f64 x 1/8 1/2))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 x 1/8 1/2) y) 3))
(+.f64 y (fma.f64 x 1/8 1/2))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 x 1/8 1/2) y)))
(+.f64 y (fma.f64 x 1/8 1/2))
(exp.f64 (log.f64 (+.f64 (fma.f64 x 1/8 1/2) y)))
(+.f64 y (fma.f64 x 1/8 1/2))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 x 1/8 1/2) y)) 1))
(+.f64 y (fma.f64 x 1/8 1/2))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 x 1/8 1/2) y)))
(+.f64 y (fma.f64 x 1/8 1/2))
(fma.f64 x 1/8 (+.f64 y 1/2))
(+.f64 y (fma.f64 x 1/8 1/2))
(fma.f64 1 (*.f64 x 1/8) (+.f64 y 1/2))
(+.f64 y (fma.f64 x 1/8 1/2))
(fma.f64 1 (+.f64 y 1/2) (*.f64 x 1/8))
(+.f64 y (fma.f64 x 1/8 1/2))
(fma.f64 1/8 x (+.f64 y 1/2))
(+.f64 y (fma.f64 x 1/8 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2) (cbrt.f64 (+.f64 y 1/2)) (*.f64 x 1/8))
(+.f64 y (fma.f64 x 1/8 1/2))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/64)) (cbrt.f64 (*.f64 x 1/8)) (+.f64 y 1/2))
(fma.f64 (sqrt.f64 (+.f64 y 1/2)) (sqrt.f64 (+.f64 y 1/2)) (*.f64 x 1/8))
(+.f64 y (fma.f64 x 1/8 1/2))
(fma.f64 (sqrt.f64 (*.f64 x 1/8)) (sqrt.f64 (*.f64 x 1/8)) (+.f64 y 1/2))
(+.f64 y (fma.f64 x 1/8 1/2))

eval286.0ms (2.3%)

Compiler

Compiled 5040 to 3707 computations (26.4% saved)

prune92.0ms (0.8%)

Pruning

16 alts after pruning (7 fresh and 9 done)

PrunedKeptTotal
New2915296
Fresh022
Picked235
Done066
Total29316309
Accuracy
100.0%
Counts
309 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.2%
(fma.f64 (neg.f64 y) x (log1p.f64 1))
73.4%
(-.f64 (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 x y) 2))
34.5%
(-.f64 (*.f64 x 1/2) (*.f64 y x))
87.2%
(-.f64 (log.f64 2) (*.f64 x y))
3.0%
(+.f64 (*.f64 x 1/2) (*.f64 x y))
28.2%
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
51.3%
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
48.7%
(+.f64 (log.f64 2) (*.f64 1/2 x))
3.0%
(*.f64 (+.f64 y 1/2) x)
34.5%
(*.f64 x (-.f64 1/2 y))
51.8%
(*.f64 x (neg.f64 y))
2.3%
(*.f64 x y)
3.7%
(*.f64 1/2 x)
50.3%
(log1p.f64 (exp.f64 x))
50.3%
(log.f64 (+.f64 (exp.f64 x) 1))
48.2%
(log.f64 2)
Compiler

Compiled 327 to 209 computations (36.1% saved)

regimes42.0ms (0.3%)

Counts
26 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x y)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 (+.f64 y 1/2) x)
(+.f64 (*.f64 x 1/2) (*.f64 x y))
(-.f64 (*.f64 x 1/2) (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
(-.f64 (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 x y) 2))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 (exp.f64 x) 1))
(fma.f64 (neg.f64 y) x (log1p.f64 1))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 (*.f64 x y) 2))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 x y) -1))) (fma.f64 (*.f64 x y) -1 (*.f64 (*.f64 x y) -1)))
Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
Calls

3 calls:

14.0ms
y
13.0ms
x
8.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 215 to 123 computations (42.8% saved)

regimes41.0ms (0.3%)

Counts
24 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x y)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 (+.f64 y 1/2) x)
(+.f64 (*.f64 x 1/2) (*.f64 x y))
(-.f64 (*.f64 x 1/2) (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
(-.f64 (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 x y) 2))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 (exp.f64 x) 1))
(fma.f64 (neg.f64 y) x (log1p.f64 1))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 (*.f64 x y) 2))
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Calls

3 calls:

14.0ms
y
13.0ms
x
9.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 186 to 112 computations (39.8% saved)

regimes36.0ms (0.3%)

Counts
20 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x y)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 (+.f64 y 1/2) x)
(+.f64 (*.f64 x 1/2) (*.f64 x y))
(-.f64 (*.f64 x 1/2) (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
(-.f64 (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 x y) 2))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 (exp.f64 x) 1))
(fma.f64 (neg.f64 y) x (log1p.f64 1))
Outputs
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y))))
Calls

2 calls:

21.0ms
x
10.0ms
y
Results
AccuracySegmentsBranch
98.8%2x
87.2%1y
Compiler

Compiled 139 to 90 computations (35.3% saved)

regimes20.0ms (0.2%)

Counts
14 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x y)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 (+.f64 y 1/2) x)
(+.f64 (*.f64 x 1/2) (*.f64 x y))
(-.f64 (*.f64 x 1/2) (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 1/8 x))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
Outputs
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
Calls

1 calls:

15.0ms
x
Results
AccuracySegmentsBranch
98.2%2x
Compiler

Compiled 91 to 59 computations (35.2% saved)

regimes17.0ms (0.1%)

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

1 calls:

15.0ms
x
Results
AccuracySegmentsBranch
97.7%2x
Compiler

Compiled 62 to 37 computations (40.3% saved)

regimes46.0ms (0.4%)

Counts
10 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x y)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 (+.f64 y 1/2) x)
(+.f64 (*.f64 x 1/2) (*.f64 x y))
(-.f64 (*.f64 x 1/2) (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
Outputs
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (*.f64 1/2 x))
Calls

2 calls:

25.0ms
y
19.0ms
x
Results
AccuracySegmentsBranch
70.2%3y
80.0%2x
Compiler

Compiled 59 to 36 computations (39% saved)

regimes21.0ms (0.2%)

Counts
9 → 3
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x y)
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 (+.f64 y 1/2) x)
(+.f64 (*.f64 x 1/2) (*.f64 x y))
(-.f64 (*.f64 x 1/2) (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(log.f64 2)
Outputs
(*.f64 x (neg.f64 y))
(log.f64 2)
(*.f64 x (-.f64 1/2 y))
Calls

1 calls:

19.0ms
x
Results
AccuracySegmentsBranch
81.3%3x
Compiler

Compiled 50 to 29 computations (42% saved)

regimes14.0ms (0.1%)

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

2 calls:

6.0ms
x
6.0ms
y
Results
AccuracySegmentsBranch
51.8%1y
51.8%1x
Compiler

Compiled 51 to 29 computations (43.1% saved)

regimes8.0ms (0.1%)

Accuracy

Total -1.2b remaining (-1.9%)

Threshold costs -1.2b (-1.9%)

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

2 calls:

4.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
3.7%1x
3.7%1y
Compiler

Compiled 14 to 9 computations (35.7% saved)

bsearch20.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
-735.2660415780457
-250.06976743780191
Results
8.0ms25×body512valid
7.0ms47×body256valid
3.0msbody1024valid
0.0msbody256infinite
Compiler

Compiled 126 to 97 computations (23% saved)

bsearch24.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
-4.606569405131596
-2.3408687418920838e-5
Results
22.0ms144×body256valid
Compiler

Compiled 178 to 138 computations (22.5% saved)

bsearch20.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
-735.2660415780457
-250.06976743780191
Results
9.0ms49×body256valid
7.0ms24×body512valid
2.0msbody1024valid
0.0msbody256infinite
Compiler

Compiled 96 to 72 computations (25% saved)

bsearch16.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
-9.103314883465647e-77
-7.7155691695043e-78
Results
15.0ms96×body256valid
Compiler

Compiled 112 to 90 computations (19.6% saved)

bsearch30.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
3.909956157291388e-55
2.361664894232687e-54
15.0ms
-9.103314883465647e-77
-7.7155691695043e-78
Results
28.0ms192×body256valid
Compiler

Compiled 166 to 138 computations (16.9% saved)

simplify12.0ms (0.1%)

Algorithm
egg-herbie
Rules
20×+-commutative
18×*-commutative
12×sub-neg
neg-mul-1
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049384
173384
283384
388384
490384
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -255) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(if (<=.f64 x -1553741871442821/1125899906842624) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -255) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -3650368469591399/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 1/2 x)))
(if (<=.f64 x -8865180569007683/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (*.f64 x (neg.f64 y)) (if (<=.f64 x 15838968666951/6739986666787659948666753771754907668409286105635143120275902562304) (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -255) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 x 1/8) (-.f64 1/2 y)))))
(if (<=.f64 x -1553741871442821/1125899906842624) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -255) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -3650368469591399/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 1/2 x)))
(if (<=.f64 x -3650368469591399/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(if (<=.f64 x -8865180569007683/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (*.f64 x (neg.f64 y)) (if (<=.f64 x 15838968666951/6739986666787659948666753771754907668409286105635143120275902562304) (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)
Compiler

Compiled 122 to 87 computations (28.7% saved)

soundness1.5s (12.5%)

Rules
1942×prod-diff
1540×times-frac
1540×times-frac
1328×fma-def
1328×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030234
173226
2129210
3286210
4468210
5769210
61322210
72788210
85719210
97847210
052419775
1123619159
2369118431
019140
1213128
22892128
052419775
1123619159
2369118431
052419775
1123619159
2369118431
030234
173226
2129210
3286210
4468210
5769210
61322210
72788210
85719210
97847210
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 471 to 251 computations (46.7% saved)

end0.0ms (0%)

preprocess115.0ms (0.9%)

Compiler

Compiled 290 to 170 computations (41.4% saved)

Profiling

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