Logistic regression 2

Time bar (total: 11.0s)

analyze83.0ms (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)

sample4.4s (40.2%)

Results
2.5s2672×body8192exit
1.6s7097×body256valid
120.0ms718×body256infinite
98.0ms226×body1024valid
59.0ms213×body512valid
3.0msbody2048valid
Bogosity

preprocess301.0ms (2.7%)

Algorithm
egg-herbie
Rules
566×associate-+r+
523×associate-+l+
465×times-frac
455×fma-def
406×*-commutative
Problems
254×No Errors
(log.f64 (+.f64 1 (exp.f64 x)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030234
167226
2144210
3311210
4717210
51012210
61577210
73109210
85122210
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))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.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))
(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 (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 9 to 6 computations (33.3% saved)

prune2.0ms (0%)

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

Compiled 40 to 28 computations (30% saved)

localize191.0ms (1.7%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
100.0%
(log1p.f64 (exp.f64 x))
100.0%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
100.0%
(+.f64 1 (exp.f64 x))
100.0%
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
99.8%
(log.f64 (+.f64 1 (exp.f64 x)))
Compiler

Compiled 46 to 17 computations (63% saved)

series53.0ms (0.5%)

Counts
5 → 68
Calls

21 calls:

TimeVariablePointExpression
25.0ms
x
@inf
(log.f64 (+.f64 1 (exp.f64 x)))
19.0ms
x
@-inf
(log.f64 (+.f64 1 (exp.f64 x)))
5.0ms
y
@0
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.0ms
x
@0
(log.f64 (+.f64 1 (exp.f64 x)))
0.0ms
y
@inf
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

rewrite257.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
385×*-commutative
347×associate-*r/
346×unswap-sqr
344×distribute-lft-in
337×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01698
121498
2216798
Stop Event
node limit
Counts
5 → 429
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 1 (exp.f64 x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
Outputs
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(+.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 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (+.f64 0 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (*.f64 1 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) (*.f64 1 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 1))
(+.f64 (*.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1) (*.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (log.f64 (+.f64 1 (*.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 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (log.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(-.f64 (+.f64 0 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (log.f64 (-.f64 1 (exp.f64 x))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))) 1)
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (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 2 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(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))))
(log1p.f64 (exp.f64 x))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (*.f64 x (neg.f64 y)) 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 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 1 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 1 (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 1 (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)) 1))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 1))
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(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))) (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))) (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x (neg.f64 y)) (-.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))) (sqrt.f64 (+.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 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x (neg.f64 y)) (-.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) 1) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) 1) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (-.f64 (*.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 (*.f64 x y) (pow.f64 (*.f64 x y) 3))) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 3) (pow.f64 (pow.f64 (*.f64 x y) 2) 3)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (+.f64 (*.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 (pow.f64 (*.f64 x y) 2) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x y) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 x y) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (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 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) 1) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(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)
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(neg.f64 (/.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) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))
(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))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(+.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 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (+.f64 0 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (*.f64 1 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) (*.f64 1 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 1))
(+.f64 (*.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1) (*.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (log.f64 (+.f64 1 (*.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 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (log.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(-.f64 (+.f64 0 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (log.f64 (-.f64 1 (exp.f64 x))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))) 1)
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (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 2 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 1 (exp.f64 x)))
(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))))

simplify303.0ms (2.8%)

Algorithm
egg-herbie
Rules
537×associate-+r-
514×fma-def
358×associate-*r*
328×associate-*l*
254×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064832992
1177329418
2777629418
Stop Event
node limit
Counts
497 → 378
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))))
(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)))
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)))
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(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x y) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 x y) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (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 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) 1) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(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)
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(neg.f64 (/.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) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))
(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))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(+.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 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (+.f64 0 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (*.f64 1 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) (*.f64 1 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 1))
(+.f64 (*.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1) (*.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (log.f64 (+.f64 1 (*.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 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (log.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(-.f64 (+.f64 0 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (log.f64 (-.f64 1 (exp.f64 x))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))) 1)
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (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 2 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 1 (exp.f64 x)))
(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))))
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) (+.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))))
(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 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.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 y (neg.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))
(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 y (neg.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 y (neg.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))
2
(+.f64 2 x)
(+.f64 2 (+.f64 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 2 (+.f64 x (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 2 (+.f64 (fma.f64 1/2 (pow.f64 x 2) x) (*.f64 1/6 (pow.f64 x 3))))
(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 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.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 y (neg.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))
(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 y (neg.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)))
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(*.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 x (*.f64 y (+.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)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.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 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.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)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(neg.f64 (/.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) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))
(/.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 x (*.f64 y (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(fabs.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(log1p.f64 (exp.f64 x))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(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)))))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(+.f64 (+.f64 0 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))))
(log1p.f64 (exp.f64 x))
(+.f64 (*.f64 1 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) (*.f64 1 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(*.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 1))
(log1p.f64 (exp.f64 x))
(+.f64 (*.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1) (*.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1))
(*.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (log.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.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 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(log1p.f64 (exp.f64 x))
(-.f64 (+.f64 0 (log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (log.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (+.f64 0 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (log.f64 (-.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))) 1)
(log1p.f64 (exp.f64 x))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))))
(log1p.f64 (exp.f64 x))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(log1p.f64 (exp.f64 x))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(log1p.f64 (exp.f64 x))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(log1p.f64 (exp.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(fabs.f64 (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(log1p.f64 (exp.f64 x))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))

eval112.0ms (1%)

Compiler

Compiled 9147 to 3631 computations (60.3% saved)

prune64.0ms (0.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New3708378
Fresh000
Picked202
Done000
Total3728380
Accuracy
100.0%
Counts
380 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.8%
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
74.1%
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
62.8%
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
90.3%
(-.f64 (log.f64 2) (*.f64 x y))
82.7%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
53.4%
(*.f64 y (neg.f64 x))
48.0%
(log1p.f64 (exp.f64 x))
48.0%
(log.f64 (+.f64 1 (exp.f64 x)))
82.8%
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
74.1%
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
62.8%
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
90.3%
(-.f64 (log.f64 2) (*.f64 x y))
82.7%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
53.4%
(*.f64 y (neg.f64 x))
48.0%
(log1p.f64 (exp.f64 x))
48.0%
(log.f64 (+.f64 1 (exp.f64 x)))
Compiler

Compiled 268 to 204 computations (23.9% saved)

localize113.0ms (1%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
100.0%
(log1p.f64 (exp.f64 x))
100.0%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
99.3%
(sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
99.2%
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
100.0%
(+.f64 1 (exp.f64 x))
100.0%
(log.f64 (+.f64 1 (exp.f64 x)))
100.0%
(log.f64 (+.f64 2 x))
100.0%
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
100.0%
(-.f64 (log.f64 2) (*.f64 x y))
Compiler

Compiled 95 to 35 computations (63.2% saved)

series24.0ms (0.2%)

Counts
7 → 112
Calls

36 calls:

TimeVariablePointExpression
3.0ms
x
@0
(-.f64 (log.f64 2) (*.f64 x y))
3.0ms
y
@0
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
3.0ms
y
@inf
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
2.0ms
x
@inf
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
2.0ms
x
@-inf
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)

rewrite241.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
894×associate-*r/
737×associate-*l/
213×associate-/r*
201×associate-+l+
175×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020175
1304175
23882175
Stop Event
node limit
Counts
7 → 584
Calls
Call 1
Inputs
(-.f64 (log.f64 2) (*.f64 x y))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(log.f64 (+.f64 2 x))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
Outputs
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 2) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (log.f64 2) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 (*.f64 x (neg.f64 y)) 1) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 (*.f64 x (neg.f64 y)) 1) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 (*.f64 x (neg.f64 y)) 1) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 (*.f64 x (neg.f64 y)) 1) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 (*.f64 x (neg.f64 y)) 1) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y))))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
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(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (exp.f64 (log1p.f64 (*.f64 x y)))) 1)
(*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 1 (-.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 1 (+.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 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))))
(*.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1/4) (*.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1/4) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(*.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 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(*.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 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1/4)) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (*.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)) 2) (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 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (*.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) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) 1) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))) (sqrt.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))) (neg.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(/.f64 (*.f64 1 (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) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))) (cbrt.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) 1) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) 1) (neg.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) 1) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (*.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 x y) 2))) (/.f64 1 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 3) (pow.f64 (pow.f64 (*.f64 x y) 2) 3)) (/.f64 1 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))) (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 x y) 2)) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x y) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (*.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 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 x y) 3) 3)) (/.f64 1 (+.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 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))))
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(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) 1) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (sqrt.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))) (sqrt.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (*.f64 (cbrt.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))) (cbrt.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(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)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(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))))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 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 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (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))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(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))

simplify336.0ms (3.1%)

Algorithm
egg-herbie
Rules
614×associate-*r*
582×associate-*l*
527×+-commutative
496×associate-+l+
495×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0110852433
1288552313
Stop Event
node limit
Counts
696 → 727
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))
(+.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)))
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(/.f64 (*.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))) (neg.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(/.f64 (*.f64 1 (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) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))) (cbrt.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) 1) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) 1) (neg.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) 1) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (*.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 x y) 2))) (/.f64 1 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 3) (pow.f64 (pow.f64 (*.f64 x y) 2) 3)) (/.f64 1 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))) (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 x y) 2)) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x y) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (*.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 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 x y) 3) 3)) (/.f64 1 (+.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 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)) (cbrt.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) 1) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (sqrt.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))) (sqrt.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (*.f64 (cbrt.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))) (cbrt.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(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)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(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))))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 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 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (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))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(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))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 -1 (*.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 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 -1 (*.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 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 -1 (*.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 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 -1 (*.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 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 x y))
(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) (fma.f64 -1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 2) (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/24 (pow.f64 x 3) (*.f64 x (-.f64 1/2 y)))))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (+.f64 (neg.f64 (log.f64 x)) (*.f64 x y)))
(*.f64 -1 (+.f64 (*.f64 x y) (neg.f64 (log.f64 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 -1 (*.f64 x y) (/.f64 2 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 -1 (*.f64 x y) (/.f64 2 x))) (/.f64 2 (pow.f64 x 2)))
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 -1 (*.f64 x y) (/.f64 2 x))) (/.f64 -2 (pow.f64 x 2)))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -1 (*.f64 x y))))
(+.f64 (log.f64 -1) (*.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 x y))))
(+.f64 (log.f64 -1) (*.f64 -1 (+.f64 (*.f64 x y) (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (/.f64 1 x)))))
(+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (fma.f64 -1 (*.f64 x y) (/.f64 2 x))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (/.f64 1 x))))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (fma.f64 -1 (*.f64 x y) (/.f64 2 x))) (/.f64 2 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (fma.f64 -1 (*.f64 x y) (/.f64 2 x))) (/.f64 -2 (pow.f64 x 2))))
(log.f64 (+.f64 2 x))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(+.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 1/2)))
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(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x))))))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x))))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) 1/2)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(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))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(log1p.f64 (exp.f64 x))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(log1p.f64 (exp.f64 x))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(log1p.f64 (exp.f64 x))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(log1p.f64 (exp.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(log1p.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(log1p.f64 (exp.f64 x))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (exp.f64 x))

eval299.0ms (2.7%)

Compiler

Compiled 21403 to 10279 computations (52% saved)

prune150.0ms (1.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New8905895
Fresh123
Picked235
Done000
Total89310903
Accuracy
100.0%
Counts
903 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.8%
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
62.1%
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))) (*.f64 x y))
62.8%
(-.f64 (log1p.f64 (+.f64 x 1)) (*.f64 x y))
90.3%
(-.f64 (log.f64 2) (*.f64 x y))
48.2%
(+.f64 (log.f64 2) (*.f64 1/2 x))
53.4%
(*.f64 y (neg.f64 x))
48.0%
(log1p.f64 (exp.f64 x))
46.9%
(log.f64 (+.f64 2 x))
48.0%
(log.f64 (+.f64 1 (exp.f64 x)))
47.7%
(log.f64 2)
82.8%
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
62.1%
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))) (*.f64 x y))
62.8%
(-.f64 (log1p.f64 (+.f64 x 1)) (*.f64 x y))
90.3%
(-.f64 (log.f64 2) (*.f64 x y))
48.2%
(+.f64 (log.f64 2) (*.f64 1/2 x))
53.4%
(*.f64 y (neg.f64 x))
48.0%
(log1p.f64 (exp.f64 x))
46.9%
(log.f64 (+.f64 2 x))
48.0%
(log.f64 (+.f64 1 (exp.f64 x)))
47.7%
(log.f64 2)
Compiler

Compiled 262 to 208 computations (20.6% saved)

localize140.0ms (1.3%)

Localize:

Found 5 expressions with local error:

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

Compiled 66 to 45 computations (31.8% saved)

series6.0ms (0.1%)

Counts
4 → 63
Calls

18 calls:

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

rewrite200.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
883×associate-*r/
685×associate-*l/
216×associate-/r*
172×associate-+l+
168×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02191
128287
2383187
Stop Event
node limit
Counts
4 → 230
Calls
Call 1
Inputs
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log1p.f64 (+.f64 x 1)) (*.f64 x y))
(log1p.f64 (+.f64 x 1))
Outputs
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 (*.f64 x (-.f64 1/2 y)) 1))
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 x (neg.f64 y)) (log.f64 2)))
(+.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(+.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) 1) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (*.f64 x (-.f64 1/2 y))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)
(-.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) (exp.f64 (log1p.f64 (log.f64 2)))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) 1) (exp.f64 (log1p.f64 (log.f64 2)))) 1)
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(*.f64 1 (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 (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 (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (pow.f64 (log.f64 2) 2)) (-.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 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (pow.f64 (log.f64 2) 2))) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))) (+.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (pow.f64 (log.f64 2) 2)) 1) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) 1) (+.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (-.f64 (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 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(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)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 1/2 y))) 2))
(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))))
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (*.f64 -1/2 x))) (/.f64 (pow.f64 (*.f64 x 1/2) 2) (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2))) (-.f64 1 (log.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) 1)
(-.f64 (+.f64 (log.f64 2) (exp.f64 (log1p.f64 (*.f64 x 1/2)))) 1)
(-.f64 (+.f64 (*.f64 x 1/2) (exp.f64 (log1p.f64 (log.f64 2)))) 1)
(*.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(*.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x 1/2) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 (pow.f64 x 3) 1/8)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2))))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x 1/2) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 (pow.f64 x 3) 1/8))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x 1/2) 2)) (+.f64 (log.f64 2) (*.f64 -1/2 x)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 (pow.f64 x 3) 1/8)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x 1/2) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x 1/2) (log.f64 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x 1/2) 2))) (neg.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 (pow.f64 x 3) 1/8))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 x 1/2) 2) (pow.f64 (log.f64 2) 2))) (-.f64 (*.f64 x 1/2) (log.f64 2)))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x 1/2) 2)))) (neg.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 (pow.f64 x 3) 1/8)))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x 1/2) 2)) 1) (+.f64 (log.f64 2) (*.f64 -1/2 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 (pow.f64 x 3) 1/8)) 1) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x 1/2) 2)))) (sqrt.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 (pow.f64 x 3) 1/8)))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x 1/2) 2)))) (cbrt.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (cbrt.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 (pow.f64 x 3) 1/8)))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2))))))
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(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x (neg.f64 y))))
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x 2)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log.f64 (+.f64 x 2)) (*.f64 x (neg.f64 y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (pow.f64 (*.f64 x y) 2)) 1) (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y)))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))))) (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x (neg.f64 y))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (log.f64 (+.f64 x 2)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3))) (+.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log.f64 (+.f64 x 2)) (*.f64 x (neg.f64 y))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (pow.f64 (*.f64 x y) 2)))) (neg.f64 (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 3) (pow.f64 (*.f64 x y) 3)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))) (sqrt.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (pow.f64 (*.f64 x y) 2)))) (sqrt.f64 (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))) (sqrt.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 3) (pow.f64 (*.f64 x y) 3)))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (pow.f64 (*.f64 x y) 2)))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 3) (pow.f64 (*.f64 x y) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) 1) (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x (neg.f64 y))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x 2)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) 1) (+.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log.f64 (+.f64 x 2)) (*.f64 x (neg.f64 y))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (pow.f64 (*.f64 x y) 2))) 1) (neg.f64 (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 3) (pow.f64 (*.f64 x y) 3))) 1) (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (pow.f64 (log.f64 (+.f64 x 2)) 2)) (*.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 x y) 2))) (/.f64 1 (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y)))) (+.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (pow.f64 (*.f64 x y) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) 3) (pow.f64 (pow.f64 (*.f64 x y) 2) 3)) (/.f64 1 (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y)))) (+.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (pow.f64 (log.f64 (+.f64 x 2)) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 x y) 2)) (*.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (pow.f64 (*.f64 x y) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x 2)) 3) (pow.f64 (log.f64 (+.f64 x 2)) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x y) 3))) (/.f64 1 (+.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y)))))) (+.f64 (pow.f64 (log.f64 (+.f64 x 2)) 3) (pow.f64 (*.f64 x y) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x 2)) 3) 3) (pow.f64 (pow.f64 (*.f64 x y) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y)))))) (+.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x 2)) 3) (pow.f64 (log.f64 (+.f64 x 2)) 3)) (+.f64 (*.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (pow.f64 (log.f64 (+.f64 x 2)) 3) (pow.f64 (*.f64 x y) 3)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (pow.f64 (*.f64 x y) 2))) (sqrt.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y)))) (sqrt.f64 (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 3) (pow.f64 (*.f64 x y) 3))) (sqrt.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y)))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (pow.f64 (*.f64 x y) 2))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))) 2)) (cbrt.f64 (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 3) (pow.f64 (*.f64 x y) 3))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (pow.f64 (*.f64 x y) 2)) 1) (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (pow.f64 (*.f64 x y) 2)) (sqrt.f64 (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y)))) (sqrt.f64 (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (pow.f64 (*.f64 x y) 2)) (*.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))) (cbrt.f64 (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 3) (pow.f64 (*.f64 x y) 3)) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y)))))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x 2)) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))))
(pow.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y)) 2))
(log.f64 (/.f64 (+.f64 x 2) (pow.f64 (exp.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))
(fma.f64 1 (log.f64 (+.f64 x 2)) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 x 2))) (sqrt.f64 (log.f64 (+.f64 x 2))) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 2))) 2) (cbrt.f64 (log.f64 (+.f64 x 2))) (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x 2)))) 1)
(*.f64 1 (log.f64 (+.f64 x 2)))
(*.f64 (log.f64 (+.f64 x 2)) 1)
(*.f64 (sqrt.f64 (log.f64 (+.f64 x 2))) (sqrt.f64 (log.f64 (+.f64 x 2))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x 2))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 2))) 2) (cbrt.f64 (log.f64 (+.f64 x 2))))
(pow.f64 (log.f64 (+.f64 x 2)) 1)
(pow.f64 (pow.f64 (log.f64 (+.f64 x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x 2))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x 2))) 3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2))
(log.f64 (+.f64 x 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x 2))))
(exp.f64 (log.f64 (log.f64 (+.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x 2))) 1))

simplify215.0ms (2%)

Algorithm
egg-herbie
Rules
700×+-commutative
447×associate-+l-
433×fma-def
382×associate-+r-
339×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061317698
1162816306
2679516306
Stop Event
node limit
Counts
293 → 383
Calls
Call 1
Inputs
(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)))
(*.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 1/2 x)
(*.f64 1/2 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 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x (-.f64 1/2 y)))))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -1 (*.f64 x y))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (/.f64 1 x)))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (/.f64 1 x))))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(log.f64 (+.f64 2 x))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 2 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 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 8/3 (/.f64 1 (pow.f64 x 3))))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 8/3 (/.f64 1 (pow.f64 x 3)))))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 (*.f64 x (-.f64 1/2 y)) 1))
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 x (neg.f64 y)) (log.f64 2)))
(+.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(+.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) 1) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (*.f64 x (-.f64 1/2 y))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)
(-.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) (exp.f64 (log1p.f64 (log.f64 2)))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) 1) (exp.f64 (log1p.f64 (log.f64 2)))) 1)
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
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(log1p.f64 (expm1.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))
(fma.f64 1 (log.f64 (+.f64 x 2)) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 x 2))) (sqrt.f64 (log.f64 (+.f64 x 2))) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 2))) 2) (cbrt.f64 (log.f64 (+.f64 x 2))) (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x 2)))) 1)
(*.f64 1 (log.f64 (+.f64 x 2)))
(*.f64 (log.f64 (+.f64 x 2)) 1)
(*.f64 (sqrt.f64 (log.f64 (+.f64 x 2))) (sqrt.f64 (log.f64 (+.f64 x 2))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x 2))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 2))) 2) (cbrt.f64 (log.f64 (+.f64 x 2))))
(pow.f64 (log.f64 (+.f64 x 2)) 1)
(pow.f64 (pow.f64 (log.f64 (+.f64 x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x 2))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x 2))) 3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2))
(log.f64 (+.f64 x 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x 2))))
(exp.f64 (log.f64 (log.f64 (+.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x 2))) 1))
Outputs
(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 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 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 x (-.f64 1/2 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 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 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 x (-.f64 1/2 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 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 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 1/2 x))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 2)
(*.f64 1/2 x)
(*.f64 x 1/2)
(*.f64 1/2 x)
(*.f64 x 1/2)
(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 (*.f64 -1/8 (pow.f64 x 2)) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 2) (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/24 (pow.f64 x 3) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/24 (pow.f64 x 3))) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/24 (pow.f64 x 3))))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1 (*.f64 x y)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 x) (*.f64 x y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 -1 (*.f64 x y) (/.f64 2 x)))
(+.f64 (log.f64 x) (-.f64 (/.f64 2 x) (*.f64 x y)))
(-.f64 (/.f64 2 x) (-.f64 (*.f64 x y) (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 -1 (*.f64 x y) (/.f64 2 x))) (/.f64 2 (pow.f64 x 2)))
(+.f64 (log.f64 x) (+.f64 (-.f64 (/.f64 2 x) (*.f64 x y)) (/.f64 -2 (pow.f64 x 2))))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 -1 (*.f64 x y))))
(+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (*.f64 x (neg.f64 y))))
(-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 x y))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (/.f64 1 x)))))
(+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (fma.f64 -1 (*.f64 x y) (/.f64 2 x))))
(+.f64 (-.f64 (/.f64 2 x) (*.f64 x y)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 (/.f64 2 x) (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 x y)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 2 (/.f64 1 x))))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (fma.f64 -1 (*.f64 x y) (/.f64 2 x))) (/.f64 2 (pow.f64 x 2))))
(+.f64 (-.f64 (-.f64 (/.f64 2 x) (*.f64 x y)) (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 -2 (pow.f64 x 2))))
(log.f64 (+.f64 2 x))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 x 1/2 (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 1/2)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/24 (pow.f64 x 3) (*.f64 x 1/2))))
(+.f64 (log.f64 2) (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 x 1/2 (*.f64 1/24 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x))
(+.f64 (log.f64 x) (/.f64 2 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (/.f64 2 (pow.f64 x 2)))
(+.f64 (log.f64 x) (+.f64 (/.f64 2 x) (/.f64 -2 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 8/3 (/.f64 1 (pow.f64 x 3))))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (/.f64 8/3 (pow.f64 x 3))) (/.f64 2 (pow.f64 x 2)))
(+.f64 (log.f64 x) (+.f64 (/.f64 8/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 -2 (pow.f64 x 2)))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 2 x)))
(+.f64 (/.f64 2 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 2 x)) (/.f64 2 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (+.f64 (-.f64 (/.f64 2 x) (log.f64 (/.f64 -1 x))) (/.f64 -2 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 8/3 (/.f64 1 (pow.f64 x 3)))))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 2 x)) (/.f64 8/3 (pow.f64 x 3))) (/.f64 2 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 8/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 -2 (pow.f64 x 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 x (-.f64 1/2 y)) 1))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 x (neg.f64 y)) (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) 1) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (*.f64 x (-.f64 1/2 y))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 2))) 1) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (expm1.f64 (log1p.f64 (log.f64 2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) (exp.f64 (log1p.f64 (log.f64 2)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 2))) 1) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (expm1.f64 (log1p.f64 (log.f64 2))))
(-.f64 (+.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) 1) (exp.f64 (log1p.f64 (log.f64 2)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 2))) 1) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (expm1.f64 (log1p.f64 (log.f64 2))))
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(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))))
(fma.f64 x (-.f64 1/2 y) (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))
(fma.f64 x (-.f64 1/2 y) (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))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) (*.f64 (-.f64 1/2 y) (-.f64 1/2 y))) (pow.f64 (log.f64 2) 2)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))))
(/.f64 (fma.f64 (pow.f64 x 2) (*.f64 (-.f64 1/2 y) (-.f64 1/2 y)) (neg.f64 (pow.f64 (log.f64 2) 2))) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (+.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (-.f64 (pow.f64 (log.f64 2) 2) (*.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)) (fma.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (pow.f64 x 2) (*.f64 (-.f64 1/2 y) (-.f64 1/2 y)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (pow.f64 (log.f64 2) 2))) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) (*.f64 (-.f64 1/2 y) (-.f64 1/2 y))) (pow.f64 (log.f64 2) 2)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))))
(/.f64 (fma.f64 (pow.f64 x 2) (*.f64 (-.f64 1/2 y) (-.f64 1/2 y)) (neg.f64 (pow.f64 (log.f64 2) 2))) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))) (+.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (-.f64 (pow.f64 (log.f64 2) 2) (*.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)) (fma.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (pow.f64 x 2) (*.f64 (-.f64 1/2 y) (-.f64 1/2 y)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 x (-.f64 1/2 y))) (pow.f64 (log.f64 2) 2)) 1) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
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(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2)))
(pow.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y)) 1)
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(pow.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))) 2)
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))) 3)
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(pow.f64 (pow.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y)) 3) 1/3)
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y)) 2))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 2))
(fabs.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))
(log.f64 (/.f64 (+.f64 x 2) (pow.f64 (exp.f64 x) y)))
(log.f64 (/.f64 (+.f64 2 x) (pow.f64 (exp.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y)))))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y)) 3))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(exp.f64 (log.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))) 1))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y))))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 1 (log.f64 (+.f64 x 2)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 x 2))) (sqrt.f64 (log.f64 (+.f64 x 2))) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 2))) 2) (cbrt.f64 (log.f64 (+.f64 x 2))) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x 2)))) 1)
(log.f64 (+.f64 2 x))
(*.f64 1 (log.f64 (+.f64 x 2)))
(log.f64 (+.f64 2 x))
(*.f64 (log.f64 (+.f64 x 2)) 1)
(log.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x 2))) (sqrt.f64 (log.f64 (+.f64 x 2))))
(log.f64 (+.f64 2 x))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x 2))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 2))) 2))
(log.f64 (+.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x 2))) 2) (cbrt.f64 (log.f64 (+.f64 x 2))))
(log.f64 (+.f64 2 x))
(pow.f64 (log.f64 (+.f64 x 2)) 1)
(log.f64 (+.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (+.f64 x 2)) 3) 1/3)
(log.f64 (+.f64 2 x))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x 2))) 2)
(log.f64 (+.f64 2 x))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x 2))) 3)
(log.f64 (+.f64 2 x))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x 2)) 2))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2))
(fabs.f64 (log.f64 (+.f64 2 x)))
(log.f64 (+.f64 x 2))
(log.f64 (+.f64 2 x))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x 2)) 3))
(log.f64 (+.f64 2 x))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x 2))))
(log.f64 (+.f64 2 x))
(exp.f64 (log.f64 (log.f64 (+.f64 x 2))))
(log.f64 (+.f64 2 x))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x 2))) 1))
(log.f64 (+.f64 2 x))

eval238.0ms (2.2%)

Compiler

Compiled 9177 to 6021 computations (34.4% saved)

prune72.0ms (0.7%)

Pruning

12 alts after pruning (5 fresh and 7 done)

PrunedKeptTotal
New4364440
Fresh112
Picked145
Done033
Total43812450
Accuracy
100.0%
Counts
450 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.8%
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
90.3%
(-.f64 (log.f64 2) (*.f64 x y))
48.2%
(+.f64 (log.f64 2) (*.f64 1/2 x))
53.4%
(*.f64 y (neg.f64 x))
36.3%
(*.f64 x (-.f64 1/2 y))
3.4%
(*.f64 x 1/2)
46.9%
(log1p.f64 (+.f64 x 1))
48.0%
(log1p.f64 (exp.f64 x))
46.9%
(log.f64 (+.f64 2 x))
48.0%
(log.f64 (+.f64 1 (exp.f64 x)))
57.9%
(log.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 1/2 y))) 2))
47.7%
(log.f64 2)
82.8%
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
90.3%
(-.f64 (log.f64 2) (*.f64 x y))
48.2%
(+.f64 (log.f64 2) (*.f64 1/2 x))
53.4%
(*.f64 y (neg.f64 x))
36.3%
(*.f64 x (-.f64 1/2 y))
3.4%
(*.f64 x 1/2)
46.9%
(log1p.f64 (+.f64 x 1))
48.0%
(log1p.f64 (exp.f64 x))
46.9%
(log.f64 (+.f64 2 x))
48.0%
(log.f64 (+.f64 1 (exp.f64 x)))
57.9%
(log.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 1/2 y))) 2))
47.7%
(log.f64 2)
Compiler

Compiled 232 to 186 computations (19.8% saved)

localize427.0ms (3.9%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(log1p.f64 (exp.f64 x))
100.0%
(log1p.f64 (+.f64 x 1))
100.0%
(exp.f64 (*.f64 x (-.f64 1/2 y)))
99.2%
(log.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 1/2 y))) 2))
Compiler

Compiled 69 to 44 computations (36.2% saved)

series84.0ms (0.8%)

Counts
2 → 36
Calls

12 calls:

TimeVariablePointExpression
29.0ms
x
@inf
(log.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 1/2 y))) 2))
19.0ms
y
@-inf
(log.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 1/2 y))) 2))
17.0ms
y
@inf
(log.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 1/2 y))) 2))
16.0ms
x
@-inf
(log.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 1/2 y))) 2))
2.0ms
y
@0
(log.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 1/2 y))) 2))

rewrite102.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
657×*-un-lft-identity
363×*-commutative
307×associate-*r/
282×unswap-sqr
234×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01552
115848
2191648
Stop Event
node limit
Counts
2 → 111
Calls
Call 1
Inputs
(log.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 1/2 y))) 2))
(exp.f64 (*.f64 x (-.f64 1/2 y)))
Outputs
(+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 0)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 x 1/2) (+.f64 (neg.f64 (*.f64 y x)) (log.f64 2)))
(+.f64 0 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)) 2)) (log.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2)) (+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (log.f64 2)))
(+.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) (log.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)) 2)))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (log.f64 2)))
(+.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) -1)
(+.f64 (+.f64 (log.f64 2) (*.f64 x 1/2)) (neg.f64 (*.f64 y x)))
(+.f64 (+.f64 (log.f64 2) 0) (*.f64 x (-.f64 1/2 y)))
(+.f64 (+.f64 (log.f64 2) (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))
(+.f64 (+.f64 (log.f64 2) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))
(+.f64 (+.f64 0 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)) 2))) (log.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)))) (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) 1))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) 1) (*.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) (-.f64 1 (log.f64 2)))
(-.f64 (+.f64 (log.f64 2) (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))))
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(*.f64 1 (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 (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 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/6))
(/.f64 1 (/.f64 (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))))
(/.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)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) 1) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) 1) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(/.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 (-.f64 0 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2)) (-.f64 0 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(/.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)) 2)) (log.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)) 2))) (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) (log.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))))) (-.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)) 2)) (log.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)))))
(/.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)))) (*.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))))) (-.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1))
(/.f64 (+.f64 0 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)) (+.f64 0 (-.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) (*.f64 0 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)) 2)) 3) (pow.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) 3)) (+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)) 2)) (log.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)) 2))) (-.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) (log.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)))) (*.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)) 2)) (log.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) 3) (pow.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) 3)) (+.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)))) (-.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)))) (*.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)))))))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(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)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 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))))
(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 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 1 (*.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))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) -1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) 1)
(*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 1)
(*.f64 1 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(*.f64 (pow.f64 (exp.f64 x) 1/2) (pow.f64 (exp.f64 x) (neg.f64 y)))
(*.f64 (pow.f64 (exp.f64 x) 1/2) (/.f64 1 (pow.f64 (exp.f64 x) y)))
(*.f64 (pow.f64 (exp.f64 x) (neg.f64 y)) (pow.f64 (exp.f64 x) 1/2))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2)) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2)) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 3/2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 3) 1/6))
(*.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) (/.f64 x 2)) (pow.f64 (exp.f64 (-.f64 1/2 y)) (/.f64 x 2)))
(*.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2)) (/.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2)) (/.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2)))
(*.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y)))) (/.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)) (pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y)))) (/.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)))
(*.f64 (pow.f64 (exp.f64 1) (/.f64 (*.f64 x (-.f64 1/2 y)) 2)) (pow.f64 (exp.f64 1) (/.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (-.f64 1/2 y))) (/.f64 (sqrt.f64 (-.f64 1/2 y)) 2)) (pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (-.f64 1/2 y))) (/.f64 (sqrt.f64 (-.f64 1/2 y)) 2)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (/.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (/.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))
(/.f64 1 (/.f64 (pow.f64 (exp.f64 x) y) (pow.f64 (exp.f64 x) 1/2)))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (pow.f64 (exp.f64 x) y))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 1/2) 1) (pow.f64 (exp.f64 x) y))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) 1))
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 1)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (exp.f64 x) (-.f64 1/2 y))
(pow.f64 (exp.f64 x) (*.f64 2 (*.f64 1/2 (-.f64 1/2 y))))
(pow.f64 (exp.f64 (-.f64 1/2 y)) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2)) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y)))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))
(pow.f64 (exp.f64 1) (*.f64 x (-.f64 1/2 y)))
(pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))
(pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))

simplify50.0ms (0.5%)

Algorithm
egg-herbie
Rules
306×associate-*r*
240×associate-*l*
188×fma-def
141×*-commutative
131×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0361889
1964889
25261889
Stop Event
unsound
Counts
147 → 130
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (pow.f64 (-.f64 1/2 y) 2)) (pow.f64 (-.f64 1/2 y) 2)))) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -3 (pow.f64 (-.f64 1/2 y) 3)) (+.f64 (*.f64 2 (pow.f64 (-.f64 1/2 y) 3)) (pow.f64 (-.f64 1/2 y) 3))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (pow.f64 (-.f64 1/2 y) 2)) (pow.f64 (-.f64 1/2 y) 2)))) (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 2 (exp.f64 (*.f64 1/2 x))))
(+.f64 (log.f64 (*.f64 2 (exp.f64 (*.f64 1/2 x)))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (*.f64 2 (exp.f64 (*.f64 1/2 x)))) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2))))))
(+.f64 (log.f64 (*.f64 2 (exp.f64 (*.f64 1/2 x)))) (+.f64 (*.f64 -1 (*.f64 x y)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 3 (pow.f64 x 3)))))) (*.f64 1/2 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)))))))
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (+.f64 1/2 (*.f64 -1 y))))))
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (+.f64 1/2 (*.f64 -1 y))))))
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (+.f64 1/2 (*.f64 -1 y))))))
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (+.f64 1/2 (*.f64 -1 y))))))
1
(+.f64 1 (*.f64 x (-.f64 1/2 y)))
(+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 1/2 y) 2))) (*.f64 x (-.f64 1/2 y))))
(+.f64 1 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 1/2 y) 2))) (*.f64 x (-.f64 1/2 y)))))
(exp.f64 (*.f64 1/2 x))
(+.f64 (exp.f64 (*.f64 1/2 x)) (*.f64 -1 (*.f64 x (*.f64 y (exp.f64 (*.f64 1/2 x))))))
(+.f64 (exp.f64 (*.f64 1/2 x)) (+.f64 (*.f64 -1 (*.f64 x (*.f64 y (exp.f64 (*.f64 1/2 x))))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (exp.f64 (*.f64 1/2 x)))))))
(+.f64 (exp.f64 (*.f64 1/2 x)) (+.f64 (*.f64 -1 (*.f64 x (*.f64 y (exp.f64 (*.f64 1/2 x))))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) (exp.f64 (*.f64 1/2 x))))) (*.f64 1/2 (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 y 2) (exp.f64 (*.f64 1/2 x))))))))
(exp.f64 (*.f64 x (+.f64 1/2 (*.f64 -1 y))))
(exp.f64 (*.f64 x (+.f64 1/2 (*.f64 -1 y))))
(exp.f64 (*.f64 x (+.f64 1/2 (*.f64 -1 y))))
(exp.f64 (*.f64 x (+.f64 1/2 (*.f64 -1 y))))
(+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(+.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 0)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 x 1/2) (+.f64 (neg.f64 (*.f64 y x)) (log.f64 2)))
(+.f64 0 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)) 2)) (log.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2)) (+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (log.f64 2)))
(+.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) (log.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)) 2)))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (log.f64 2)))
(+.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) -1)
(+.f64 (+.f64 (log.f64 2) (*.f64 x 1/2)) (neg.f64 (*.f64 y x)))
(+.f64 (+.f64 (log.f64 2) 0) (*.f64 x (-.f64 1/2 y)))
(+.f64 (+.f64 (log.f64 2) (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))
(+.f64 (+.f64 (log.f64 2) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))
(+.f64 (+.f64 0 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)) 2))) (log.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)))) (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) 1))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) 1) (*.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) (-.f64 1 (log.f64 2)))
(-.f64 (+.f64 (log.f64 2) (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))))
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(*.f64 1 (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 (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 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/6))
(/.f64 1 (/.f64 (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))))
(/.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)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) 1) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) 1) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(/.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 (-.f64 0 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2)) (-.f64 0 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(/.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)) 2)) (log.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)) 2))) (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) (log.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))))) (-.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)) 2)) (log.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)))))
(/.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)))) (*.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))))) (-.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1))
(/.f64 (+.f64 0 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3)) (+.f64 0 (-.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2) (*.f64 0 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)) 2)) 3) (pow.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) 3)) (+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)) 2)) (log.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)) 2))) (-.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) (log.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)))) (*.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)) 2)) (log.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) 3) (pow.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) 3)) (+.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)))) (-.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)))) (*.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))) (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2)))))))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(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)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 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))))
(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 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 1 (*.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))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) -1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) 1)
(*.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 1)
(*.f64 1 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(*.f64 (pow.f64 (exp.f64 x) 1/2) (pow.f64 (exp.f64 x) (neg.f64 y)))
(*.f64 (pow.f64 (exp.f64 x) 1/2) (/.f64 1 (pow.f64 (exp.f64 x) y)))
(*.f64 (pow.f64 (exp.f64 x) (neg.f64 y)) (pow.f64 (exp.f64 x) 1/2))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2)) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2)) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 3/2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 3) 1/6))
(*.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) (/.f64 x 2)) (pow.f64 (exp.f64 (-.f64 1/2 y)) (/.f64 x 2)))
(*.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2)) (/.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2)) (/.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2)))
(*.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y)))) (/.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)) (pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y)))) (/.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)))
(*.f64 (pow.f64 (exp.f64 1) (/.f64 (*.f64 x (-.f64 1/2 y)) 2)) (pow.f64 (exp.f64 1) (/.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (-.f64 1/2 y))) (/.f64 (sqrt.f64 (-.f64 1/2 y)) 2)) (pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (-.f64 1/2 y))) (/.f64 (sqrt.f64 (-.f64 1/2 y)) 2)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (/.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (/.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))
(/.f64 1 (/.f64 (pow.f64 (exp.f64 x) y) (pow.f64 (exp.f64 x) 1/2)))
(/.f64 (pow.f64 (exp.f64 x) 1/2) (pow.f64 (exp.f64 x) y))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 1/2) 1) (pow.f64 (exp.f64 x) y))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) 1))
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 1)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (exp.f64 x) (-.f64 1/2 y))
(pow.f64 (exp.f64 x) (*.f64 2 (*.f64 1/2 (-.f64 1/2 y))))
(pow.f64 (exp.f64 (-.f64 1/2 y)) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2)) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y)))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))
(pow.f64 (exp.f64 1) (*.f64 x (-.f64 1/2 y)))
(pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))
(pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(log.f64 2)
(+.f64 (log.f64 2) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (pow.f64 (-.f64 1/2 y) 2)) (pow.f64 (-.f64 1/2 y) 2)))) (*.f64 x (-.f64 1/2 y))))
(log.f64 2)
(+.f64 (log.f64 2) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -3 (pow.f64 (-.f64 1/2 y) 3)) (+.f64 (*.f64 2 (pow.f64 (-.f64 1/2 y) 3)) (pow.f64 (-.f64 1/2 y) 3))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (pow.f64 (-.f64 1/2 y) 2)) (pow.f64 (-.f64 1/2 y) 2)))) (*.f64 x (-.f64 1/2 y)))))
(log.f64 2)
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 2)
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 2)
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 2)
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 2)
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 2)
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 2)
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 2)
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 2)
(log.f64 (*.f64 2 (exp.f64 (*.f64 1/2 x))))
(log.f64 2)
(+.f64 (log.f64 (*.f64 2 (exp.f64 (*.f64 1/2 x)))) (*.f64 -1 (*.f64 x y)))
(log.f64 2)
(+.f64 (log.f64 (*.f64 2 (exp.f64 (*.f64 1/2 x)))) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2))))))
(log.f64 2)
(+.f64 (log.f64 (*.f64 2 (exp.f64 (*.f64 1/2 x)))) (+.f64 (*.f64 -1 (*.f64 x y)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 3 (pow.f64 x 3)))))) (*.f64 1/2 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)))))))
(log.f64 2)
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 2)
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 2)
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 2)
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 2)
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (+.f64 1/2 (*.f64 -1 y))))))
(log.f64 2)
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (+.f64 1/2 (*.f64 -1 y))))))
(log.f64 2)
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (+.f64 1/2 (*.f64 -1 y))))))
(log.f64 2)
(log.f64 (*.f64 2 (exp.f64 (*.f64 x (+.f64 1/2 (*.f64 -1 y))))))
(log.f64 2)
1
(log.f64 2)
(+.f64 1 (*.f64 x (-.f64 1/2 y)))
(log.f64 2)
(+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 1/2 y) 2))) (*.f64 x (-.f64 1/2 y))))
(log.f64 2)
(+.f64 1 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 (-.f64 1/2 y) 2))) (*.f64 x (-.f64 1/2 y)))))
(log.f64 2)
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(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2)) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2)) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))))
(log.f64 2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 3/2))
(log.f64 2)
(*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 3) 1/6))
(log.f64 2)
(*.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) (/.f64 x 2)) (pow.f64 (exp.f64 (-.f64 1/2 y)) (/.f64 x 2)))
(log.f64 2)
(*.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2)) (/.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2)) (/.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2)))
(log.f64 2)
(*.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y)))) (/.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)) (pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y)))) (/.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)))
(log.f64 2)
(*.f64 (pow.f64 (exp.f64 1) (/.f64 (*.f64 x (-.f64 1/2 y)) 2)) (pow.f64 (exp.f64 1) (/.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(log.f64 2)
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (-.f64 1/2 y))) (/.f64 (sqrt.f64 (-.f64 1/2 y)) 2)) (pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (-.f64 1/2 y))) (/.f64 (sqrt.f64 (-.f64 1/2 y)) 2)))
(log.f64 2)
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (/.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (/.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))
(log.f64 2)
(/.f64 1 (/.f64 (pow.f64 (exp.f64 x) y) (pow.f64 (exp.f64 x) 1/2)))
(log.f64 2)
(/.f64 (pow.f64 (exp.f64 x) 1/2) (pow.f64 (exp.f64 x) y))
(log.f64 2)
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 1/2) 1) (pow.f64 (exp.f64 x) y))
(log.f64 2)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) 1))
(log.f64 2)
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 1)
(log.f64 2)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2)
(log.f64 2)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 3)
(log.f64 2)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 3) 1/3)
(log.f64 2)
(pow.f64 (exp.f64 x) (-.f64 1/2 y))
(log.f64 2)
(pow.f64 (exp.f64 x) (*.f64 2 (*.f64 1/2 (-.f64 1/2 y))))
(log.f64 2)
(pow.f64 (exp.f64 (-.f64 1/2 y)) x)
(log.f64 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2)) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(log.f64 2)
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y)))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))
(log.f64 2)
(pow.f64 (exp.f64 1) (*.f64 x (-.f64 1/2 y)))
(log.f64 2)
(pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))
(log.f64 2)
(pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))
(log.f64 2)
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 2))
(log.f64 2)
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(log.f64 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))
(log.f64 2)
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)) 3))
(log.f64 2)
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(log.f64 2)
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(log.f64 2)

eval137.0ms (1.3%)

Compiler

Compiled 3508 to 2678 computations (23.7% saved)

prune85.0ms (0.8%)

Pruning

12 alts after pruning (0 fresh and 12 done)

PrunedKeptTotal
New1970197
Fresh000
Picked055
Done077
Total19712209
Accuracy
100.0%
Counts
209 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.8%
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
90.3%
(-.f64 (log.f64 2) (*.f64 x y))
48.2%
(+.f64 (log.f64 2) (*.f64 1/2 x))
53.4%
(*.f64 y (neg.f64 x))
36.3%
(*.f64 x (-.f64 1/2 y))
3.4%
(*.f64 x 1/2)
46.9%
(log1p.f64 (+.f64 x 1))
48.0%
(log1p.f64 (exp.f64 x))
46.9%
(log.f64 (+.f64 2 x))
48.0%
(log.f64 (+.f64 1 (exp.f64 x)))
57.9%
(log.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 1/2 y))) 2))
47.7%
(log.f64 2)
Compiler

Compiled 203 to 138 computations (32% saved)

regimes77.0ms (0.7%)

Counts
19 → 1
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(log.f64 (+.f64 2 x))
(log1p.f64 (+.f64 x 1))
(+.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 (+.f64 2 x)) (*.f64 x y))
(-.f64 (log1p.f64 (+.f64 x 1)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 1/2 y))) 2))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x)))) (*.f64 x y))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Calls

3 calls:

50.0ms
y
13.0ms
x
10.0ms
(-.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 138 to 84 computations (39.1% saved)

regimes28.0ms (0.3%)

Counts
13 → 2
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(log.f64 (+.f64 2 x))
(log1p.f64 (+.f64 x 1))
(+.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 (+.f64 2 x)) (*.f64 x y))
(-.f64 (log1p.f64 (+.f64 x 1)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
Outputs
(*.f64 y (neg.f64 x))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
Calls

2 calls:

18.0ms
x
8.0ms
y
Results
AccuracySegmentsBranch
99.9%2x
90.3%1y
Compiler

Compiled 74 to 49 computations (33.8% saved)

regimes16.0ms (0.1%)

Counts
9 → 2
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(log.f64 (+.f64 2 x))
(log1p.f64 (+.f64 x 1))
(+.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)))
Outputs
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
Calls

1 calls:

14.0ms
x
Results
AccuracySegmentsBranch
99.9%2x
Compiler

Compiled 47 to 34 computations (27.7% saved)

regimes14.0ms (0.1%)

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

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
99.4%2x
Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes51.0ms (0.5%)

Counts
7 → 4
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(log.f64 (+.f64 2 x))
(log1p.f64 (+.f64 x 1))
(+.f64 (log.f64 2) (*.f64 1/2 x))
Outputs
(*.f64 y (neg.f64 x))
(log1p.f64 (+.f64 x 1))
(*.f64 x (-.f64 1/2 y))
(log.f64 (+.f64 2 x))
Calls

2 calls:

26.0ms
x
22.0ms
y
Results
AccuracySegmentsBranch
69.5%3y
86.6%4x
Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes29.0ms (0.3%)

Counts
5 → 4
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(log.f64 (+.f64 2 x))
Outputs
(*.f64 y (neg.f64 x))
(log.f64 (+.f64 2 x))
(*.f64 x (-.f64 1/2 y))
(log.f64 (+.f64 2 x))
Calls

1 calls:

28.0ms
x
Results
AccuracySegmentsBranch
86.6%4x
Compiler

Compiled 23 to 16 computations (30.4% saved)

regimes23.0ms (0.2%)

Counts
4 → 5
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
Outputs
(*.f64 y (neg.f64 x))
(log.f64 2)
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(*.f64 x (-.f64 1/2 y))
Calls

1 calls:

22.0ms
x
Results
AccuracySegmentsBranch
87.3%5x
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes10.0ms (0.1%)

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

2 calls:

5.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
53.4%1y
53.4%1x
Compiler

Compiled 20 to 13 computations (35% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
3.4%1x
3.4%1y
Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch16.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
-26.021825635712332
-1.4836138437701736
Results
15.0ms112×body256valid
Compiler

Compiled 142 to 103 computations (27.5% saved)

bsearch21.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
-1038.395556722913
-26.021825635712332
Results
18.0ms110×body256valid
1.0msbody512valid
Compiler

Compiled 142 to 110 computations (22.5% saved)

bsearch20.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
-1038.395556722913
-26.021825635712332
Results
17.0ms106×body256valid
1.0msbody512valid
Compiler

Compiled 128 to 96 computations (25% saved)

bsearch50.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
3.2318658377338845e-38
6.210836635660108e-36
15.0ms
3.023070805215142e-77
2.9149344949500494e-75
20.0ms
-1.4836138437701736
-6.676914229709838e-9
Results
45.0ms368×body256valid
Compiler

Compiled 352 to 279 computations (20.7% saved)

bsearch84.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
3.2318658377338845e-38
6.210836635660108e-36
49.0ms
3.023070805215142e-77
2.9149344949500494e-75
20.0ms
-1.4836138437701736
-6.676914229709838e-9
Results
80.0ms368×body256valid
Compiler

Compiled 352 to 279 computations (20.7% saved)

bsearch75.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
2.9853443282289137e-21
4.499555926142332e-17
15.0ms
3.2318658377338845e-38
6.210836635660108e-36
15.0ms
3.023070805215142e-77
2.9149344949500494e-75
20.0ms
-1.4836138437701736
-6.676914229709838e-9
Results
68.0ms496×body256valid
Compiler

Compiled 410 to 344 computations (16.1% saved)

simplify18.0ms (0.2%)

Algorithm
egg-herbie
Rules
10×+-commutative
*-commutative
if-if-or-not
not-or
cancel-sign-sub-inv
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
070522
199522
2114522
3122520
4125520
5126520
Stop Event
done
saturated
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3/2) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))
(if (<=.f64 x -53/2) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -106) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -2184094498327211/1180591620717411303424) (*.f64 y (neg.f64 x)) (if (<=.f64 x 5703700733736561/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376) (log1p.f64 (+.f64 x 1)) (if (<=.f64 x 8237163532154153/191561942608236107294793378393788647952342390272950272) (*.f64 x (-.f64 1/2 y)) (log.f64 (+.f64 2 x)))))
(if (<=.f64 x -4382356096103031/151115727451828646838272) (*.f64 y (neg.f64 x)) (if (<=.f64 x 1018517988167243/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376) (log.f64 (+.f64 2 x)) (if (<=.f64 x 838083498911033/5986310706507378352962293074805895248510699696029696) (*.f64 x (-.f64 1/2 y)) (log.f64 (+.f64 2 x)))))
(if (<=.f64 x -6195744825524975/75557863725914323419136) (*.f64 y (neg.f64 x)) (if (<=.f64 x 7170366636697391/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) (log.f64 2) (if (<=.f64 x 972775489807449/1496577676626844588240573268701473812127674924007424) (*.f64 x (-.f64 1/2 y)) (if (<=.f64 x 7310753976817037/166153499473114484112975882535043072) (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(*.f64 y (neg.f64 x))
(*.f64 x 1/2)
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3/2) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))
(if (<=.f64 x -3/2) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y)))
(if (<=.f64 x -3/2) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 (+.f64 x 2)) (*.f64 x y)))
(if (<=.f64 x -53/2) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -53/2) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -106) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -106) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -2184094498327211/1180591620717411303424) (*.f64 y (neg.f64 x)) (if (<=.f64 x 5703700733736561/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376) (log1p.f64 (+.f64 x 1)) (if (<=.f64 x 8237163532154153/191561942608236107294793378393788647952342390272950272) (*.f64 x (-.f64 1/2 y)) (log.f64 (+.f64 2 x)))))
(if (<=.f64 x -2184094498327211/1180591620717411303424) (*.f64 y (neg.f64 x)) (if (<=.f64 x 5703700733736561/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376) (log1p.f64 (+.f64 x 1)) (if (<=.f64 x 8237163532154153/191561942608236107294793378393788647952342390272950272) (*.f64 x (-.f64 1/2 y)) (log.f64 (+.f64 x 2)))))
(if (<=.f64 x -2184094498327211/1180591620717411303424) (*.f64 x (neg.f64 y)) (if (<=.f64 x 5703700733736561/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376) (log1p.f64 (+.f64 x 1)) (if (<=.f64 x 8237163532154153/191561942608236107294793378393788647952342390272950272) (*.f64 x (-.f64 1/2 y)) (log.f64 (+.f64 x 2)))))
(if (<=.f64 x -4382356096103031/151115727451828646838272) (*.f64 y (neg.f64 x)) (if (<=.f64 x 1018517988167243/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376) (log.f64 (+.f64 2 x)) (if (<=.f64 x 838083498911033/5986310706507378352962293074805895248510699696029696) (*.f64 x (-.f64 1/2 y)) (log.f64 (+.f64 2 x)))))
(if (<=.f64 x -4382356096103031/151115727451828646838272) (*.f64 y (neg.f64 x)) (if (or (<=.f64 x 1018517988167243/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376) (not (<=.f64 x 838083498911033/5986310706507378352962293074805895248510699696029696))) (log.f64 (+.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -4382356096103031/151115727451828646838272) (*.f64 x (neg.f64 y)) (if (or (<=.f64 x 1018517988167243/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376) (not (<=.f64 x 838083498911033/5986310706507378352962293074805895248510699696029696))) (log.f64 (+.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -6195744825524975/75557863725914323419136) (*.f64 y (neg.f64 x)) (if (<=.f64 x 7170366636697391/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) (log.f64 2) (if (<=.f64 x 972775489807449/1496577676626844588240573268701473812127674924007424) (*.f64 x (-.f64 1/2 y)) (if (<=.f64 x 7310753976817037/166153499473114484112975882535043072) (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(if (<=.f64 x -6195744825524975/75557863725914323419136) (*.f64 y (neg.f64 x)) (if (<=.f64 x 7170366636697391/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) (log.f64 2) (if (or (<=.f64 x 972775489807449/1496577676626844588240573268701473812127674924007424) (not (<=.f64 x 7310753976817037/166153499473114484112975882535043072))) (*.f64 x (-.f64 1/2 y)) (log.f64 2))))
(if (<=.f64 x -6195744825524975/75557863725914323419136) (*.f64 x (neg.f64 y)) (if (<=.f64 x 7170366636697391/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) (log.f64 2) (if (or (<=.f64 x 972775489807449/1496577676626844588240573268701473812127674924007424) (not (<=.f64 x 7310753976817037/166153499473114484112975882535043072))) (*.f64 x (-.f64 1/2 y)) (log.f64 2))))
(if (<=.f64 x -6195744825524975/75557863725914323419136) (*.f64 x (neg.f64 y)) (if (or (<=.f64 x 7170366636697391/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) (and (not (<=.f64 x 972775489807449/1496577676626844588240573268701473812127674924007424)) (<=.f64 x 7310753976817037/166153499473114484112975882535043072))) (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 x 1/2)
Compiler

Compiled 161 to 114 computations (29.2% saved)

soundness1.6s (14.5%)

Rules
894×associate-*r/
737×associate-*l/
700×+-commutative
566×associate-+r+
537×associate-+r-
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030234
167226
2144210
3311210
4717210
51012210
61577210
73109210
85122210
061317698
1162816306
2679516306
064832992
1177329418
2777629418
064832992
1177329418
2777629418
020175
1304175
23882175
Stop Event
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 129 to 95 computations (26.4% saved)

end0.0ms (0%)

preprocess138.0ms (1.3%)

Compiler

Compiled 368 to 224 computations (39.1% saved)

Profiling

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