Logistic regression 2

Time bar (total: 10.1s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 12 to 9 computations (25% saved)

sample3.4s (33.8%)

Results
2.0s2258×body8192exit
1.1s6871×body256valid
141.0ms993×body256infinite
114.0ms184×body1024valid
51.0ms207×body512valid
1.0ms1×body2048valid
Bogosity

preprocess263.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
538×associate-+r+
522×associate-+l+
465×times-frac
436×fma-def
393×*-commutative
Problems
254×No Errors
2×(log.f64 (+.f64 1 (exp.f64 x)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028158
161154
296146
3213146
4533146
5789146
61336146
72859146
84881146
Stop Event
1×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)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))
Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y))
(+.f64 (log1p.f64 (exp.f64 (neg.f64 x))) (*.f64 x y))
(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)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 y)) (*.f64 x y))
Compiler

Compiled 40 to 23 computations (42.5% saved)

eval0.0ms (0%)

Compiler

Compiled 16 to 8 computations (50% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize41.0ms (0.4%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓99.6%
(log1p.f64 (exp.f64 x))
Compiler

Compiled 20 to 7 computations (65% saved)

series47.0ms (0.5%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
25.0ms
x
@inf
(log1p.f64 (exp.f64 x))
21.0ms
x
@-inf
(log1p.f64 (exp.f64 x))
0.0ms
x
@0
(log1p.f64 (exp.f64 x))

rewrite251.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
554×associate-+r+
445×associate-+l+
379×associate-*r*
247×+-commutative
234×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
16112
260512
3633112
Stop Event
1×node limit
Counts
1 → 55
Calls
Call 1
Inputs
(log1p.f64 (exp.f64 x))
Outputs
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(+.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -1))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) -1)
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 -1 (+.f64 (log1p.f64 (exp.f64 x)) 1))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (+.f64 0 (log.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1)
(-.f64 (log1p.f64 (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 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (E.f64)))
(*.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))))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 1/4)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/4))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2) 1/3) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (+.f64 (log1p.f64 (exp.f64 x)) 1)) 1) (+.f64 (log1p.f64 (exp.f64 x)) 2))
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 3) 1) (+.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (+.f64 (log1p.f64 (exp.f64 x)) 1))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log1p.f64 (exp.f64 x))) 2))) (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (log.f64 (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 (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 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))

simplify68.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
464×associate-/r*
450×fma-def
418×associate--r+
410×distribute-lft-in
380×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01671693
13711663
213611630
349671623
Stop Event
1×node limit
Counts
67 → 89
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 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(+.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -1))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) -1)
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 -1 (+.f64 (log1p.f64 (exp.f64 x)) 1))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (+.f64 0 (log.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1)
(-.f64 (log1p.f64 (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 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (E.f64)))
(*.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))))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 1/4)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/4))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2) 1/3) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (+.f64 (log1p.f64 (exp.f64 x)) 1)) 1) (+.f64 (log1p.f64 (exp.f64 x)) 2))
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 3) 1) (+.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (+.f64 (log1p.f64 (exp.f64 x)) 1))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log1p.f64 (exp.f64 x))) 2))) (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (log.f64 (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 (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 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
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)))
(fma.f64 1/2 x (fma.f64 1/8 (pow.f64 x 2) (log.f64 2)))
(+.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))))
(fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/2 x (fma.f64 1/8 (pow.f64 x 2) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
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(log1p.f64 (exp.f64 x))
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(log1p.f64 (exp.f64 x))
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(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1)
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(log1p.f64 (exp.f64 x))
(*.f64 1 (log1p.f64 (exp.f64 x)))
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(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
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(*.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))))
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(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (pow.f64 (log1p.f64 (exp.f64 x)) 3/4))
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(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))
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(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4)) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4))))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (exp.f64 (*.f64 5/2 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 1/4)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/4))
(log1p.f64 (exp.f64 x))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4)) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(log1p.f64 (exp.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/4))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (pow.f64 (log1p.f64 (exp.f64 x)) 3/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5/2))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 8)))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2) 1/3) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 8)))
(/.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (+.f64 (log1p.f64 (exp.f64 x)) 1)) 1) (+.f64 (log1p.f64 (exp.f64 x)) 2))
(/.f64 (*.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (log1p.f64 (exp.f64 x))) (+.f64 2 (log1p.f64 (exp.f64 x))))
(/.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) (/.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))))
(*.f64 (/.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) (+.f64 2 (log1p.f64 (exp.f64 x)))) (log1p.f64 (exp.f64 x)))
(*.f64 (log1p.f64 (exp.f64 x)) (/.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) (+.f64 2 (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 3) 1) (+.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) (+.f64 (log1p.f64 (exp.f64 x)) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) -1) (+.f64 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 1 (log1p.f64 (exp.f64 x)))) (+.f64 2 (log1p.f64 (exp.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3)) (fma.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 2 (log1p.f64 (exp.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 2 (log1p.f64 (exp.f64 x))))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(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))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/2)
(log1p.f64 (exp.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(log1p.f64 (exp.f64 x))
(pow.f64 (E.f64) (log.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log1p.f64 (exp.f64 x))) 2))) (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log1p.f64 (exp.f64 x))
(fabs.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(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 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(log1p.f64 (exp.f64 x))

eval22.0ms (0.2%)

Compiler

Compiled 1435 to 629 computations (56.2% saved)

prune24.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New86389
Fresh000
Picked011
Done000
Total86490
Accuracy
99.7%
Counts
90 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.9%
(-.f64 (-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1) (*.f64 x y))
▶87.7%
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
✓99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶93.2%
(-.f64 (log.f64 2) (*.f64 x y))
▶98.9%
(-.f64 (-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1) (*.f64 x y))
▶87.7%
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
✓99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶93.2%
(-.f64 (log.f64 2) (*.f64 x y))
Compiler

Compiled 84 to 62 computations (26.2% saved)

localize232.0ms (2.3%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 (log1p.f64 (exp.f64 x)) 1)
99.6%
(log1p.f64 (exp.f64 x))
✓99.0%
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1)
✓100.0%
(+.f64 (log.f64 2) (*.f64 1/2 x))
✓100.0%
(-.f64 (log.f64 2) (*.f64 x y))
Compiler

Compiled 79 to 41 computations (48.1% saved)

series9.0ms (0.1%)

Counts
4 → 51
Calls

15 calls:

TimeVariablePointExpression
4.0ms
y
@0
(-.f64 (log.f64 2) (*.f64 x y))
3.0ms
x
@0
(-.f64 (log.f64 2) (*.f64 x y))
0.0ms
x
@inf
(+.f64 (log.f64 2) (*.f64 1/2 x))
0.0ms
y
@inf
(-.f64 (log.f64 2) (*.f64 x y))
0.0ms
x
@inf
(-.f64 (log.f64 2) (*.f64 x y))

rewrite160.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
911×associate-*r/
806×associate-*l/
252×associate-+l+
158×+-commutative
128×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02079
127569
2363569
Stop Event
1×node limit
Counts
4 → 301
Calls
Call 1
Inputs
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1)
(+.f64 (log1p.f64 (exp.f64 x)) 1)
Outputs
(+.f64 (log1p.f64 1) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 1) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (log1p.f64 1) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (log1p.f64 1) (+.f64 (*.f64 (*.f64 x (neg.f64 y)) 1) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (log1p.f64 1) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (log1p.f64 1) (+.f64 (*.f64 (*.f64 x (neg.f64 y)) 1) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (log1p.f64 1) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (log1p.f64 1) (+.f64 (*.f64 (*.f64 x (neg.f64 y)) 1) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (log1p.f64 1) (+.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 1) (+.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 (log1p.f64 1) (+.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 (log1p.f64 1) (+.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 (log1p.f64 1) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 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 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 1) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
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(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))
(log1p.f64 (exp.f64 x))
(fma.f64 1 (log1p.f64 (exp.f64 x)) 0)
(fma.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 1) -1)
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) -1)
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))) 0)
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 0)
(-.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 2) (+.f64 2 (log1p.f64 (exp.f64 x)))) (-.f64 (/.f64 1 (+.f64 2 (log1p.f64 (exp.f64 x)))) 1))
(-.f64 (/.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 3) (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 2)))) (-.f64 (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 2)))) 1))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 (log1p.f64 (exp.f64 x)) -1)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -1)))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 2) (+.f64 2 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 2 (log1p.f64 (exp.f64 x)))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 3) (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 2))))) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 2)))))
(*.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 1))
(*.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1)
(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -1) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -1)))
(*.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x))))))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) (*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) 1))
(*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) 1))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -1)))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x)))) (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -1) (+.f64 (log1p.f64 (exp.f64 x)) -1))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -1) 1) (+.f64 (log1p.f64 (exp.f64 x)) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 1 (log1p.f64 (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -1)) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x))))))
(/.f64 (*.f64 1 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (-.f64 1 (log1p.f64 (exp.f64 x))))
(/.f64 (*.f64 1 (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -1) 1)) (+.f64 (log1p.f64 (exp.f64 x)) -1))
(/.f64 (*.f64 1 (*.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1)) (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -1))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1)))
(/.f64 (*.f64 1 (neg.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -1))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) (sqrt.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) 2) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -1))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) 2) (cbrt.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x))))))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -1) 1) 1) (+.f64 (log1p.f64 (exp.f64 x)) -1))
(/.f64 (*.f64 (*.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1) 1) (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1) (-.f64 1 (log1p.f64 (exp.f64 x))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -1)) 1) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1)))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) 1) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (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)) 1) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -1))) (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 3) 1) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -1))) (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (+.f64 1 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x)))))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x)))))) (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (-.f64 1 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -1)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -1)) (*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) 1)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) (*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) 1)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) 2)) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) 2)) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x))))))
(pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) 3)
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 2))
(log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1))))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 3))
(expm1.f64 (log.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))))
(exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)))
(fma.f64 1 (log1p.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) 1)
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))) 1)

simplify217.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
368×fma-def
352×associate-*r*
342×associate-*l*
318×associate-+l-
305×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075319473
1190318120
2740418120
Stop Event
1×node limit
Counts
352 → 450
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)))
(+.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 1/2 x)
(*.f64 1/2 x)
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 1 (log.f64 2))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 1 (+.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 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (log1p.f64 1) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 1) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (log1p.f64 1) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (log1p.f64 1) (+.f64 (*.f64 (*.f64 x (neg.f64 y)) 1) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (log1p.f64 1) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (log1p.f64 1) (+.f64 (*.f64 (*.f64 x (neg.f64 y)) 1) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (log1p.f64 1) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (log1p.f64 1) (+.f64 (*.f64 (*.f64 x (neg.f64 y)) 1) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (log1p.f64 1) (+.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 1) (+.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 (log1p.f64 1) (+.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 (log1p.f64 1) (+.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 (log1p.f64 1) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 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 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 1) (*.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 1) (*.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 1) (*.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 1) (*.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 1) (*.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))))
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(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) -1)
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))) 0)
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 0)
(-.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 2) (+.f64 2 (log1p.f64 (exp.f64 x)))) (-.f64 (/.f64 1 (+.f64 2 (log1p.f64 (exp.f64 x)))) 1))
(-.f64 (/.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 3) (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 2)))) (-.f64 (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 2)))) 1))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 (log1p.f64 (exp.f64 x)) -1)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -1)))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 2) (+.f64 2 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 2 (log1p.f64 (exp.f64 x)))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 3) (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 2))))) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 2)))))
(*.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 1))
(*.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1)
(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -1) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -1)))
(*.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x))))))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) (*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) 1))
(*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) 1))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -1)))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x)))) (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -1) (+.f64 (log1p.f64 (exp.f64 x)) -1))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -1) 1) (+.f64 (log1p.f64 (exp.f64 x)) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 1 (log1p.f64 (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -1)) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x))))))
(/.f64 (*.f64 1 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (-.f64 1 (log1p.f64 (exp.f64 x))))
(/.f64 (*.f64 1 (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -1) 1)) (+.f64 (log1p.f64 (exp.f64 x)) -1))
(/.f64 (*.f64 1 (*.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1)) (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -1))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1)))
(/.f64 (*.f64 1 (neg.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -1))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) (sqrt.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) 2) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -1))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) 2) (cbrt.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x))))))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -1) 1) 1) (+.f64 (log1p.f64 (exp.f64 x)) -1))
(/.f64 (*.f64 (*.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1) 1) (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1) (-.f64 1 (log1p.f64 (exp.f64 x))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -1)) 1) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1)))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) 1) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (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)) 1) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -1))) (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 3) 1) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -1))) (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (+.f64 1 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x)))))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x)))))) (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (-.f64 1 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -1)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -1)) (*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) 1)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) (*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) 1)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) 2)) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) 2)) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x))))))
(pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)) 3)
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 2))
(log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1))))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 3))
(expm1.f64 (log.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))))
(exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)))
(fma.f64 1 (log1p.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) 1)
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (cbrt.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 (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 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 (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 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 (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 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 (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 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 (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 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 (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 x y))
(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 1/2 x))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(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 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 1 (log.f64 2))
(+.f64 (log.f64 2) 1)
(+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x)))
(+.f64 (+.f64 (log.f64 2) (*.f64 x 1/2)) 1)
(+.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(+.f64 1 (+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) 1)
(+.f64 (log.f64 2) (+.f64 1 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))
(+.f64 1 (+.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 (+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))) 1)
(+.f64 (log.f64 2) (+.f64 1 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 1) (*.f64 x (neg.f64 y)))
(fma.f64 x (neg.f64 y) (log1p.f64 1))
(-.f64 (log1p.f64 1) (*.f64 x y))
(+.f64 (log1p.f64 1) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 x (neg.f64 y) (log1p.f64 1))
(-.f64 (log1p.f64 1) (*.f64 x y))
(+.f64 (log1p.f64 1) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (log1p.f64 1) (fma.f64 x (neg.f64 y) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (*.f64 0 (*.f64 x y)) (-.f64 (log1p.f64 1) (*.f64 x y)))
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(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 3))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(expm1.f64 (log.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))))
(exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1)))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(fma.f64 1 (log1p.f64 (exp.f64 x)) 1)
(+.f64 1 (log1p.f64 (exp.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) 1)
(+.f64 1 (log1p.f64 (exp.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))) 1)
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1)

eval209.0ms (2.1%)

Compiler

Compiled 12356 to 7177 computations (41.9% saved)

prune93.0ms (0.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New5345539
Fresh000
Picked123
Done011
Total5358543
Accuracy
99.7%
Counts
543 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶86.9%
(-.f64 (-.f64 (+.f64 (+.f64 (log.f64 2) (*.f64 x 1/2)) 1) 1) (*.f64 x y))
▶70.3%
(-.f64 (+.f64 (log1p.f64 1) (expm1.f64 (log1p.f64 (*.f64 x 1/2)))) (*.f64 x y))
✓87.7%
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
▶41.8%
(-.f64 (*.f64 x 1/2) (*.f64 x y))
✓99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓93.2%
(-.f64 (log.f64 2) (*.f64 x y))
▶52.6%
(*.f64 y (neg.f64 x))
▶48.6%
(log.f64 2)
▶86.9%
(-.f64 (-.f64 (+.f64 (+.f64 (log.f64 2) (*.f64 x 1/2)) 1) 1) (*.f64 x y))
▶70.3%
(-.f64 (+.f64 (log1p.f64 1) (expm1.f64 (log1p.f64 (*.f64 x 1/2)))) (*.f64 x y))
✓87.7%
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
▶41.8%
(-.f64 (*.f64 x 1/2) (*.f64 x y))
✓99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓93.2%
(-.f64 (log.f64 2) (*.f64 x y))
▶52.6%
(*.f64 y (neg.f64 x))
▶48.6%
(log.f64 2)
Compiler

Compiled 254 to 194 computations (23.6% saved)

localize158.0ms (1.6%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 (log1p.f64 1) (expm1.f64 (log1p.f64 (*.f64 x 1/2))))
✓99.5%
(expm1.f64 (log1p.f64 (*.f64 x 1/2)))
✓100.0%
(-.f64 (*.f64 x 1/2) (*.f64 x y))
✓100.0%
(+.f64 (+.f64 (log.f64 2) (*.f64 x 1/2)) 1)
✓100.0%
(+.f64 (log.f64 2) (*.f64 x 1/2))
✓99.0%
(-.f64 (+.f64 (+.f64 (log.f64 2) (*.f64 x 1/2)) 1) 1)
Compiler

Compiled 122 to 81 computations (33.6% saved)

series5.0ms (0.1%)

Counts
6 → 84
Calls

21 calls:

TimeVariablePointExpression
2.0ms
x
@0
(+.f64 (log1p.f64 1) (expm1.f64 (log1p.f64 (*.f64 x 1/2))))
0.0ms
x
@inf
(-.f64 (*.f64 x 1/2) (*.f64 x y))
0.0ms
x
@0
(-.f64 (*.f64 x 1/2) (*.f64 x y))
0.0ms
x
@inf
(expm1.f64 (log1p.f64 (*.f64 x 1/2)))
0.0ms
x
@-inf
(expm1.f64 (log1p.f64 (*.f64 x 1/2)))

rewrite239.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
430×associate-+l+
291×associate-/r*
224×distribute-lft-neg-in
223×distribute-rgt-neg-in
215×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022133
133599
2378299
Stop Event
1×node limit
Counts
6 → 714
Calls
Call 1
Inputs
(-.f64 (+.f64 (+.f64 (log.f64 2) (*.f64 x 1/2)) 1) 1)
(+.f64 (log.f64 2) (*.f64 x 1/2))
(+.f64 (+.f64 (log.f64 2) (*.f64 x 1/2)) 1)
(-.f64 (*.f64 x 1/2) (*.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 x 1/2)))
(+.f64 (log1p.f64 1) (expm1.f64 (log1p.f64 (*.f64 x 1/2))))
Outputs
(+.f64 (log1p.f64 1) (*.f64 x 1/2))
(+.f64 (log1p.f64 1) (-.f64 (*.f64 x 1/2) 0))
(+.f64 (*.f64 x 1/2) (log1p.f64 1))
(+.f64 (*.f64 x 1/2) (+.f64 (+.f64 (log1p.f64 1) 1) -1))
(+.f64 (*.f64 x 1/2) (-.f64 (log1p.f64 1) 0))
(+.f64 (*.f64 x 1/2) (-.f64 (+.f64 (log1p.f64 1) 1) 1))
(+.f64 (*.f64 x 1/2) (-.f64 1 (-.f64 1 (log1p.f64 1))))
(+.f64 (fma.f64 x 1/2 (log1p.f64 1)) 0)
(+.f64 1 (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) -1))
(+.f64 1 (+.f64 (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) -1) 0))
(+.f64 1 (-.f64 (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) -1) 0))
(+.f64 1 (-.f64 (*.f64 x 1/2) (-.f64 1 (log1p.f64 1))))
(+.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) -1)
(+.f64 (fma.f64 x 1/2 1) (-.f64 (log1p.f64 1) 1))
(+.f64 (fma.f64 x 1/2 1) (+.f64 -1 (log1p.f64 1)))
(+.f64 (fma.f64 x 1/2 1) (+.f64 (log1p.f64 1) -1))
(+.f64 0 (fma.f64 x 1/2 (log1p.f64 1)))
(+.f64 (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) -1) 1)
(+.f64 -1 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)))
(+.f64 (+.f64 (log1p.f64 1) 1) (-.f64 (*.f64 x 1/2) 1))
(+.f64 (+.f64 (log1p.f64 1) 1) (+.f64 (*.f64 x 1/2) -1))
(+.f64 (+.f64 -1 (log1p.f64 1)) (fma.f64 x 1/2 1))
(+.f64 (+.f64 -1 (*.f64 x 1/2)) (+.f64 (log1p.f64 1) 1))
(+.f64 (+.f64 -1 (+.f64 (log1p.f64 1) 1)) (*.f64 x 1/2))
(*.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1)
(*.f64 1 (fma.f64 x 1/2 (log1p.f64 1)))
(*.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)) (/.f64 1 (+.f64 (log1p.f64 1) (*.f64 x -1/2))))
(*.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2) -1) (/.f64 1 (+.f64 2 (fma.f64 x 1/2 (log1p.f64 1)))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3)) (/.f64 1 (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2)))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (*.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 1))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2) (*.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 1))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)))) (-.f64 (sqrt.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1))) 1))
(*.f64 (/.f64 1 (+.f64 2 (fma.f64 x 1/2 (log1p.f64 1)))) (+.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2) -1))
(*.f64 (/.f64 1 (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2)))) (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3)))
(*.f64 (/.f64 1 (+.f64 (log1p.f64 1) (*.f64 x -1/2))) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)))
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))) (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)))
(*.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4))) (fma.f64 x 1/2 (log1p.f64 1)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2) -1) (+.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2) -1)) (fma.f64 x 1/2 (log1p.f64 1)))
(*.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)) (-.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8))) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x 1/2) (fma.f64 x 1/2 (log1p.f64 1)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2) -1) (-.f64 1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2))) (-.f64 0 (fma.f64 x 1/2 (log1p.f64 1))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2) -1) (+.f64 1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3))) (+.f64 1 (*.f64 (fma.f64 x 1/2 (log1p.f64 1)) (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) (-.f64 (*.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 1) 2)) (*.f64 (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log1p.f64 1))) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log1p.f64 1)))))) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log1p.f64 1)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) (+.f64 (pow.f64 (pow.f64 (log1p.f64 1) 2) 3) (pow.f64 (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log1p.f64 1))) 3))) (+.f64 (*.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 1) 2)) (*.f64 (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log1p.f64 1))) (-.f64 (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log1p.f64 1))) (pow.f64 (log1p.f64 1) 2)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3)) (-.f64 (*.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2) (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2)) (*.f64 (+.f64 2 (fma.f64 x 1/2 (log1p.f64 1))) (+.f64 2 (fma.f64 x 1/2 (log1p.f64 1)))))) (-.f64 (*.f64 (fma.f64 x 1/2 (log1p.f64 1)) (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1))) 1))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2) 3) (pow.f64 (+.f64 2 (fma.f64 x 1/2 (log1p.f64 1))) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2) (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2)) (*.f64 (+.f64 2 (fma.f64 x 1/2 (log1p.f64 1))) (-.f64 (+.f64 2 (fma.f64 x 1/2 (log1p.f64 1))) (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2)))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)) 1) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4))) (fma.f64 x 1/2 (log1p.f64 1)))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)) 1) (-.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8))) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x 1/2) (fma.f64 x 1/2 (log1p.f64 1)))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) 1) (-.f64 (*.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 1) 2)) (*.f64 (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log1p.f64 1))) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log1p.f64 1)))))) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log1p.f64 1)))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) 1) (+.f64 (pow.f64 (pow.f64 (log1p.f64 1) 2) 3) (pow.f64 (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log1p.f64 1))) 3))) (+.f64 (*.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 1) 2)) (*.f64 (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log1p.f64 1))) (-.f64 (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log1p.f64 1))) (pow.f64 (log1p.f64 1) 2)))))
(/.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1)
(/.f64 (fma.f64 x 1/2 (log1p.f64 1)) (/.f64 (+.f64 (log1p.f64 1) (*.f64 x -1/2)) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))
(/.f64 1 (/.f64 1 (fma.f64 x 1/2 (log1p.f64 1))))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2)) (*.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) -1)) (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)) (+.f64 (log1p.f64 1) (*.f64 x -1/2)))
(/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2) -1) (+.f64 2 (fma.f64 x 1/2 (log1p.f64 1))))
(/.f64 (+.f64 2 (fma.f64 x 1/2 (log1p.f64 1))) (/.f64 (+.f64 2 (fma.f64 x 1/2 (log1p.f64 1))) (fma.f64 x 1/2 (log1p.f64 1))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) (/.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2)))) 1))
(/.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2)))) (/.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2)))) (fma.f64 x 1/2 (log1p.f64 1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3)) (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3)) (-.f64 (+.f64 1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2)) (*.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) -1)))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)) 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) 1) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 1) 3)) (*.f64 (*.f64 (pow.f64 x 3) 1/8) (*.f64 (pow.f64 x 3) 1/8))) (*.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2)))) (-.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 2) 0) (fma.f64 x 1/2 (log1p.f64 1)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 x 1/2) (log1p.f64 1)))
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 1) 2)) (*.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 2) 1/4))) (*.f64 (+.f64 (log1p.f64 1) (*.f64 x -1/2)) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) 1/4))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3) (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3)) 1) (*.f64 (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2))) (+.f64 1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3))))
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(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2)))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3)) 1) (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3)) (sqrt.f64 (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2))))) (sqrt.f64 (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3)) (*.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2)))) (cbrt.f64 (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2)))))) (cbrt.f64 (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2)))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)) 1) 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2)))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)) 1) (+.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (log1p.f64 1)))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)) 1) (sqrt.f64 (+.f64 (log1p.f64 1) (*.f64 x -1/2)))) (sqrt.f64 (+.f64 (log1p.f64 1) (*.f64 x -1/2))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)) 1) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 1) (*.f64 x -1/2))) (cbrt.f64 (+.f64 (log1p.f64 1) (*.f64 x -1/2))))) (cbrt.f64 (+.f64 (log1p.f64 1) (*.f64 x -1/2))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) 1) 1) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2)))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) 1) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2)))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) 1) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))))
(pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1)
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 3)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log1p.f64 1)))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(fma.f64 x 1/2 (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(fma.f64 1 (log1p.f64 1) (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (log1p.f64 1))
(fma.f64 1 (fma.f64 x 1/2 (log1p.f64 1)) 0)
(fma.f64 1 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) -1)
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (log1p.f64 1))
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1))) (sqrt.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1))) -1)
(fma.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 0)
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1))) 2) (cbrt.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 x 1/2))

simplify357.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
722×associate-*r*
662×associate-*l*
524×+-commutative
514×associate-+l+
452×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0110651763
1342451051
Stop Event
1×node limit
Counts
798 → 715
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 1 (log.f64 2))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x)))
(*.f64 1/2 x)
(+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x)))
(*.f64 1/2 x)
(+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x)))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
(*.f64 1/2 x)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log1p.f64 1) (*.f64 x 1/2))
(+.f64 (log1p.f64 1) (-.f64 (*.f64 x 1/2) 0))
(+.f64 (*.f64 x 1/2) (log1p.f64 1))
(+.f64 (*.f64 x 1/2) (+.f64 (+.f64 (log1p.f64 1) 1) -1))
(+.f64 (*.f64 x 1/2) (-.f64 (log1p.f64 1) 0))
(+.f64 (*.f64 x 1/2) (-.f64 (+.f64 (log1p.f64 1) 1) 1))
(+.f64 (*.f64 x 1/2) (-.f64 1 (-.f64 1 (log1p.f64 1))))
(+.f64 (fma.f64 x 1/2 (log1p.f64 1)) 0)
(+.f64 1 (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) -1))
(+.f64 1 (+.f64 (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) -1) 0))
(+.f64 1 (-.f64 (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) -1) 0))
(+.f64 1 (-.f64 (*.f64 x 1/2) (-.f64 1 (log1p.f64 1))))
(+.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) -1)
(+.f64 (fma.f64 x 1/2 1) (-.f64 (log1p.f64 1) 1))
(+.f64 (fma.f64 x 1/2 1) (+.f64 -1 (log1p.f64 1)))
(+.f64 (fma.f64 x 1/2 1) (+.f64 (log1p.f64 1) -1))
(+.f64 0 (fma.f64 x 1/2 (log1p.f64 1)))
(+.f64 (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) -1) 1)
(+.f64 -1 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)))
(+.f64 (+.f64 (log1p.f64 1) 1) (-.f64 (*.f64 x 1/2) 1))
(+.f64 (+.f64 (log1p.f64 1) 1) (+.f64 (*.f64 x 1/2) -1))
(+.f64 (+.f64 -1 (log1p.f64 1)) (fma.f64 x 1/2 1))
(+.f64 (+.f64 -1 (*.f64 x 1/2)) (+.f64 (log1p.f64 1) 1))
(+.f64 (+.f64 -1 (+.f64 (log1p.f64 1) 1)) (*.f64 x 1/2))
(*.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1)
(*.f64 1 (fma.f64 x 1/2 (log1p.f64 1)))
(*.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)) (/.f64 1 (+.f64 (log1p.f64 1) (*.f64 x -1/2))))
(*.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2) -1) (/.f64 1 (+.f64 2 (fma.f64 x 1/2 (log1p.f64 1)))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3)) (/.f64 1 (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2)))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (*.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 1))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2) (*.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 1))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)))) (-.f64 (sqrt.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1))) 1))
(*.f64 (/.f64 1 (+.f64 2 (fma.f64 x 1/2 (log1p.f64 1)))) (+.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2) -1))
(*.f64 (/.f64 1 (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2)))) (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3)))
(*.f64 (/.f64 1 (+.f64 (log1p.f64 1) (*.f64 x -1/2))) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)))
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))) (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)))
(*.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4))) (fma.f64 x 1/2 (log1p.f64 1)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2) -1) (+.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2) -1)) (fma.f64 x 1/2 (log1p.f64 1)))
(*.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)) (-.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8))) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x 1/2) (fma.f64 x 1/2 (log1p.f64 1)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2) -1) (-.f64 1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2))) (-.f64 0 (fma.f64 x 1/2 (log1p.f64 1))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2) -1) (+.f64 1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3))) (+.f64 1 (*.f64 (fma.f64 x 1/2 (log1p.f64 1)) (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)))))
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(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3) 3) 1) (*.f64 (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2))) (+.f64 (*.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3) (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3)) (+.f64 1 (*.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3) 1)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3) 3) 1) (*.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2)) (*.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) -1)) (+.f64 (*.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3) (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3)) (+.f64 1 (*.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3) 1)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2) 3) 1) (*.f64 (+.f64 2 (fma.f64 x 1/2 (log1p.f64 1))) (+.f64 (*.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2) (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2)) (+.f64 1 (*.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2) 1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2) -1)) (neg.f64 (+.f64 2 (fma.f64 x 1/2 (log1p.f64 1)))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3))) (neg.f64 (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4))) (neg.f64 (+.f64 (log1p.f64 1) (*.f64 x -1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2) -1)) (/.f64 (+.f64 2 (fma.f64 x 1/2 (log1p.f64 1))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2) -1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3))) (/.f64 (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3))) (/.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2)) (*.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) -1)) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4))) (/.f64 (+.f64 (log1p.f64 1) (*.f64 x -1/2)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8))) (/.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)))) (/.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)))) (/.f64 (+.f64 (log1p.f64 1) (*.f64 x -1/2)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3)))) (/.f64 (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3)))) (/.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2)) (*.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) -1)) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2) -1))) (/.f64 (+.f64 2 (fma.f64 x 1/2 (log1p.f64 1))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2) -1))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)) 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2) -1) 1) (+.f64 2 (fma.f64 x 1/2 (log1p.f64 1))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)) (+.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (log1p.f64 1)))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)) (sqrt.f64 (+.f64 (log1p.f64 1) (*.f64 x -1/2)))) (sqrt.f64 (+.f64 (log1p.f64 1) (*.f64 x -1/2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 1) (*.f64 x -1/2))) (cbrt.f64 (+.f64 (log1p.f64 1) (*.f64 x -1/2))))) (cbrt.f64 (+.f64 (log1p.f64 1) (*.f64 x -1/2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2) -1) (sqrt.f64 (+.f64 2 (fma.f64 x 1/2 (log1p.f64 1))))) (sqrt.f64 (+.f64 2 (fma.f64 x 1/2 (log1p.f64 1)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2) -1) (*.f64 (cbrt.f64 (+.f64 2 (fma.f64 x 1/2 (log1p.f64 1)))) (cbrt.f64 (+.f64 2 (fma.f64 x 1/2 (log1p.f64 1)))))) (cbrt.f64 (+.f64 2 (fma.f64 x 1/2 (log1p.f64 1)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) 1) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2)))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3)) 1) (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3)) (sqrt.f64 (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2))))) (sqrt.f64 (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3)) (*.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2)))) (cbrt.f64 (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2)))))) (cbrt.f64 (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2)))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)) 1) 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2)))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)) 1) (+.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (log1p.f64 1)))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)) 1) (sqrt.f64 (+.f64 (log1p.f64 1) (*.f64 x -1/2)))) (sqrt.f64 (+.f64 (log1p.f64 1) (*.f64 x -1/2))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)) 1) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 1) (*.f64 x -1/2))) (cbrt.f64 (+.f64 (log1p.f64 1) (*.f64 x -1/2))))) (cbrt.f64 (+.f64 (log1p.f64 1) (*.f64 x -1/2))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) 1) 1) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2)))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) 1) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2)))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) 1) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))))
(pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1)
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 3)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log1p.f64 1)))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(fma.f64 x 1/2 (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(fma.f64 1 (log1p.f64 1) (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (log1p.f64 1))
(fma.f64 1 (fma.f64 x 1/2 (log1p.f64 1)) 0)
(fma.f64 1 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) -1)
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (log1p.f64 1))
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1))) (sqrt.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1))) -1)
(fma.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 0)
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1))) 2) (cbrt.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 x 1/2))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 1 (log.f64 2))
(+.f64 (log.f64 2) 1)
(+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x)))
(+.f64 (+.f64 (log.f64 2) 1) (*.f64 1/2 x))
(+.f64 (log.f64 2) (fma.f64 x 1/2 1))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x)))
(+.f64 (+.f64 (log.f64 2) 1) (*.f64 1/2 x))
(+.f64 (log.f64 2) (fma.f64 x 1/2 1))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x)))
(+.f64 (+.f64 (log.f64 2) 1) (*.f64 1/2 x))
(+.f64 (log.f64 2) (fma.f64 x 1/2 1))
(*.f64 1/2 x)
(+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x)))
(+.f64 (+.f64 (log.f64 2) 1) (*.f64 1/2 x))
(+.f64 (log.f64 2) (fma.f64 x 1/2 1))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x)))
(+.f64 (+.f64 (log.f64 2) 1) (*.f64 1/2 x))
(+.f64 (log.f64 2) (fma.f64 x 1/2 1))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x)))
(+.f64 (+.f64 (log.f64 2) 1) (*.f64 1/2 x))
(+.f64 (log.f64 2) (fma.f64 x 1/2 1))
(*.f64 1/2 x)
(+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x)))
(+.f64 (+.f64 (log.f64 2) 1) (*.f64 1/2 x))
(+.f64 (log.f64 2) (fma.f64 x 1/2 1))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x)))
(+.f64 (+.f64 (log.f64 2) 1) (*.f64 1/2 x))
(+.f64 (log.f64 2) (fma.f64 x 1/2 1))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 1/2 x)))
(+.f64 (+.f64 (log.f64 2) 1) (*.f64 1/2 x))
(+.f64 (log.f64 2) (fma.f64 x 1/2 1))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
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(*.f64 x (-.f64 1/2 y))
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(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 2) 1/4 (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 2) 1/4 (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))) (cbrt.f64 (fma.f64 (pow.f64 x 2) 1/4 (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3)) 1) (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3)) (+.f64 (fma.f64 1/2 x (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log1p.f64 1))) 3)) (+.f64 2 (+.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log1p.f64 1))) 2) (fma.f64 1/2 x (log1p.f64 1)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3)) (sqrt.f64 (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2))))) (sqrt.f64 (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3)) (sqrt.f64 (+.f64 (fma.f64 1/2 x (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2))))) (sqrt.f64 (+.f64 (fma.f64 1/2 x (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log1p.f64 1))) 3)) (*.f64 (sqrt.f64 (+.f64 2 (+.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log1p.f64 1))) 2) (fma.f64 1/2 x (log1p.f64 1))))) (sqrt.f64 (+.f64 2 (+.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log1p.f64 1))) 2) (fma.f64 1/2 x (log1p.f64 1)))))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3)) (*.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2)))) (cbrt.f64 (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2)))))) (cbrt.f64 (+.f64 (fma.f64 x 1/2 (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 3)) (*.f64 (cbrt.f64 (+.f64 (fma.f64 1/2 x (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2)))) (*.f64 (cbrt.f64 (+.f64 (fma.f64 1/2 x (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2)))) (cbrt.f64 (+.f64 (fma.f64 1/2 x (log1p.f64 1)) (+.f64 2 (pow.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) 2)))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log1p.f64 1))) 3)) (*.f64 (cbrt.f64 (+.f64 2 (+.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log1p.f64 1))) 2) (fma.f64 1/2 x (log1p.f64 1))))) (*.f64 (cbrt.f64 (+.f64 2 (+.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log1p.f64 1))) 2) (fma.f64 1/2 x (log1p.f64 1))))) (cbrt.f64 (+.f64 2 (+.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log1p.f64 1))) 2) (fma.f64 1/2 x (log1p.f64 1))))))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)) 1) 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)) (+.f64 (log1p.f64 1) (*.f64 x -1/2)))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)) 1) (+.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (log1p.f64 1)))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x 1/2))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)) (*.f64 (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 1/2 x))) (+.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (log1p.f64 1)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)) (+.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (log1p.f64 1)))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 1/2 x))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)) 1) (sqrt.f64 (+.f64 (log1p.f64 1) (*.f64 x -1/2)))) (sqrt.f64 (+.f64 (log1p.f64 1) (*.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)) (*.f64 (sqrt.f64 (+.f64 (log1p.f64 1) (*.f64 x -1/2))) (sqrt.f64 (+.f64 (log1p.f64 1) (*.f64 x -1/2)))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)) 1) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 1) (*.f64 x -1/2))) (cbrt.f64 (+.f64 (log1p.f64 1) (*.f64 x -1/2))))) (cbrt.f64 (+.f64 (log1p.f64 1) (*.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (pow.f64 x 2) -1/4)) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 1) (*.f64 x -1/2))) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 1) (*.f64 x -1/2))) (cbrt.f64 (+.f64 (log1p.f64 1) (*.f64 x -1/2))))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) 1) 1) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) (fma.f64 (pow.f64 x 2) 1/4 (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2)))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) 1) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2)))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 x 2) 1/4 (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))) (sqrt.f64 (fma.f64 (pow.f64 x 2) 1/4 (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2)))))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) 1) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (*.f64 (pow.f64 x 3) 1/8)) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 2) 1/4 (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 2) 1/4 (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))) (cbrt.f64 (fma.f64 (pow.f64 x 2) 1/4 (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (*.f64 x -1/2))))))))
(pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1)
(fma.f64 1/2 x (log1p.f64 1))
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 3) 1/3)
(fma.f64 1/2 x (log1p.f64 1))
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2)
(fma.f64 1/2 x (log1p.f64 1))
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 3)
(fma.f64 1/2 x (log1p.f64 1))
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 2))
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log1p.f64 1)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log1p.f64 1)))))
(fma.f64 1/2 x (log1p.f64 1))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 3))
(fma.f64 1/2 x (log1p.f64 1))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(fma.f64 1/2 x (log1p.f64 1))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(fma.f64 1/2 x (log1p.f64 1))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))) 1))
(fma.f64 1/2 x (log1p.f64 1))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log1p.f64 1))))
(fma.f64 1/2 x (log1p.f64 1))
(fma.f64 x 1/2 (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(fma.f64 1 (log1p.f64 1) (*.f64 x 1/2))
(fma.f64 1 (log1p.f64 1) (*.f64 1/2 x))
(fma.f64 1 (*.f64 x 1/2) (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(fma.f64 1 (fma.f64 x 1/2 (log1p.f64 1)) 0)
(fma.f64 1/2 x (log1p.f64 1))
(fma.f64 1 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1)) -1)
(fma.f64 1/2 x (log1p.f64 1))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1))) (sqrt.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1))) -1)
(fma.f64 1/2 x (log1p.f64 1))
(fma.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 0)
(fma.f64 1/2 x (log1p.f64 1))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (log1p.f64 1))
(fma.f64 1/2 x (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1))) 2) (cbrt.f64 (+.f64 (log1p.f64 1) (fma.f64 x 1/2 1))) -1)
(fma.f64 1/2 x (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 0)
(fma.f64 1/2 x (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 1/2 x))

eval430.0ms (4.3%)

Compiler

Compiled 20780 to 15509 computations (25.4% saved)

prune131.0ms (1.3%)

Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New7087715
Fresh000
Picked325
Done033
Total71112723
Accuracy
99.7%
Counts
723 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶41.8%
(/.f64 1 (/.f64 1 (*.f64 x (-.f64 1/2 y))))
▶87.7%
(-.f64 (/.f64 1 (/.f64 1 (fma.f64 x 1/2 (log1p.f64 1)))) (*.f64 x y))
86.9%
(-.f64 (+.f64 (+.f64 (log1p.f64 1) 1) (-.f64 (*.f64 x 1/2) 1)) (*.f64 x y))
39.7%
(-.f64 (+.f64 (log1p.f64 1) (exp.f64 (log.f64 (*.f64 x 1/2)))) (*.f64 x y))
✓87.7%
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
✓99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓93.2%
(-.f64 (log.f64 2) (*.f64 x y))
▶41.7%
(+.f64 (*.f64 x 1/2) (-.f64 1 (+.f64 1 (*.f64 x y))))
▶41.4%
(+.f64 1 (-.f64 (*.f64 x 1/2) (+.f64 1 (*.f64 x y))))
▶41.8%
(*.f64 (-.f64 1/2 y) x)
✓52.6%
(*.f64 y (neg.f64 x))
✓48.6%
(log.f64 2)
▶41.8%
(/.f64 1 (/.f64 1 (*.f64 x (-.f64 1/2 y))))
▶87.7%
(-.f64 (/.f64 1 (/.f64 1 (fma.f64 x 1/2 (log1p.f64 1)))) (*.f64 x y))
86.9%
(-.f64 (+.f64 (+.f64 (log1p.f64 1) 1) (-.f64 (*.f64 x 1/2) 1)) (*.f64 x y))
39.7%
(-.f64 (+.f64 (log1p.f64 1) (exp.f64 (log.f64 (*.f64 x 1/2)))) (*.f64 x y))
✓87.7%
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
✓99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓93.2%
(-.f64 (log.f64 2) (*.f64 x y))
▶41.7%
(+.f64 (*.f64 x 1/2) (-.f64 1 (+.f64 1 (*.f64 x y))))
▶41.4%
(+.f64 1 (-.f64 (*.f64 x 1/2) (+.f64 1 (*.f64 x y))))
▶41.8%
(*.f64 (-.f64 1/2 y) x)
✓52.6%
(*.f64 y (neg.f64 x))
✓48.6%
(log.f64 2)
Compiler

Compiled 434 to 338 computations (22.1% saved)

localize583.0ms (5.8%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 (*.f64 x 1/2) (-.f64 1 (+.f64 1 (*.f64 x y))))
✓59.7%
(-.f64 1 (+.f64 1 (*.f64 x y)))
✓100.0%
(-.f64 (*.f64 x 1/2) (+.f64 1 (*.f64 x y)))
✓55.7%
(+.f64 1 (-.f64 (*.f64 x 1/2) (+.f64 1 (*.f64 x y))))
✓100.0%
(*.f64 x (-.f64 1/2 y))
✓99.7%
(/.f64 1 (/.f64 1 (*.f64 x (-.f64 1/2 y))))
✓99.0%
(/.f64 1 (*.f64 x (-.f64 1/2 y)))
✓100.0%
(*.f64 (-.f64 1/2 y) x)
✓100.0%
(/.f64 1 (fma.f64 x 1/2 (log1p.f64 1)))
✓100.0%
(fma.f64 x 1/2 (log1p.f64 1))
✓99.9%
(/.f64 1 (/.f64 1 (fma.f64 x 1/2 (log1p.f64 1))))
Compiler

Compiled 153 to 95 computations (37.9% saved)

series10.0ms (0.1%)

Counts
11 → 204
Calls

57 calls:

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

rewrite326.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
368×associate-+l+
303×associate-+r+
284×+-commutative
199×associate-+r-
193×associate--r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027227
1409221
25660216
Stop Event
1×node limit
Counts
11 → 813
Calls
Call 1
Inputs
(/.f64 1 (/.f64 1 (fma.f64 x 1/2 (log1p.f64 1))))
(fma.f64 x 1/2 (log1p.f64 1))
(/.f64 1 (fma.f64 x 1/2 (log1p.f64 1)))
(*.f64 (-.f64 1/2 y) x)
(/.f64 1 (*.f64 x (-.f64 1/2 y)))
(/.f64 1 (/.f64 1 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(+.f64 1 (-.f64 (*.f64 x 1/2) (+.f64 1 (*.f64 x y))))
(-.f64 (*.f64 x 1/2) (+.f64 1 (*.f64 x y)))
(-.f64 1 (+.f64 1 (*.f64 x y)))
(+.f64 (*.f64 x 1/2) (-.f64 1 (+.f64 1 (*.f64 x y))))
Outputs
(+.f64 (log.f64 2) (*.f64 x 1/2))
(+.f64 (*.f64 x 1/2) (log.f64 2))
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(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) -1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(fma.f64 1 (*.f64 x 1/2) (neg.f64 (*.f64 x y)))
(fma.f64 1 (+.f64 (*.f64 x (-.f64 1/2 y)) -1) 1)
(fma.f64 1 (neg.f64 (*.f64 x y)) (*.f64 x 1/2))
(fma.f64 x 1/2 (neg.f64 (*.f64 x y)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (neg.f64 (*.f64 x y)))
(fma.f64 (sqrt.f64 (neg.f64 (*.f64 x y))) (sqrt.f64 (neg.f64 (*.f64 x y))) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1)) (sqrt.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (neg.f64 (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (*.f64 x y))) 2) (cbrt.f64 (neg.f64 (*.f64 x y))) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1)) 2) (cbrt.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1)) 1)

simplify728.0ms (7.2%)

Algorithm
1×egg-herbie
Rules
501×associate-+l+
417×associate-+r+
393×+-commutative
354×associate-*r*
322×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
083539076
1213337441
Stop Event
1×node limit
Counts
1017 → 591
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(/.f64 1 (log.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2))) (/.f64 1 (log.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 3))) (/.f64 1 (log.f64 2))))
(+.f64 (*.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 4))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 3))) (/.f64 1 (log.f64 2)))))
(/.f64 2 x)
(+.f64 (*.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (+.f64 (*.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 -16 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 4))) (+.f64 (*.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (+.f64 (*.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(/.f64 2 x)
(+.f64 (*.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (+.f64 (*.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 -16 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 4))) (+.f64 (*.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (+.f64 (*.f64 8 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(*.f64 1/2 x)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(/.f64 2 x)
(+.f64 (*.f64 4 (/.f64 y x)) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 4 (/.f64 y x)) (+.f64 (*.f64 8 (/.f64 (pow.f64 y 2) x)) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 4 (/.f64 y x)) (+.f64 (*.f64 8 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 16 (/.f64 (pow.f64 y 3) x)) (*.f64 2 (/.f64 1 x)))))
(/.f64 -1 (*.f64 x y))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x y)) (*.f64 1/2 (/.f64 1 (*.f64 x (pow.f64 y 2))))))
(neg.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 x (pow.f64 y 3)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 x (pow.f64 y 2)))) (/.f64 1 (*.f64 x y)))))
(neg.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 x (pow.f64 y 4)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 x (pow.f64 y 3)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 x (pow.f64 y 2)))) (/.f64 1 (*.f64 x y))))))
(/.f64 -1 (*.f64 x y))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x y)) (*.f64 1/2 (/.f64 1 (*.f64 x (pow.f64 y 2))))))
(neg.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 x (pow.f64 y 3)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 x (pow.f64 y 2)))) (/.f64 1 (*.f64 x y)))))
(neg.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 x (pow.f64 y 4)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 x (pow.f64 y 3)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 x (pow.f64 y 2)))) (/.f64 1 (*.f64 x y))))))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
(*.f64 1/2 x)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
-1
(-.f64 (*.f64 x (-.f64 1/2 y)) 1)
(-.f64 (*.f64 x (-.f64 1/2 y)) 1)
(-.f64 (*.f64 x (-.f64 1/2 y)) 1)
(*.f64 x (-.f64 1/2 y))
(-.f64 (*.f64 x (-.f64 1/2 y)) 1)
(-.f64 (*.f64 x (-.f64 1/2 y)) 1)
(-.f64 (*.f64 x (-.f64 1/2 y)) 1)
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
(-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1 y))) 1)
(-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1 y))) 1)
(-.f64 (*.f64 x (+.f64 1/2 (*.f64 -1 y))) 1)
(-.f64 (*.f64 1/2 x) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)) 1)
(*.f64 -1 (*.f64 x y))
(-.f64 (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)) 1)
(*.f64 -1 (*.f64 x y))
(-.f64 (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)) 1)
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
(*.f64 1/2 x)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(+.f64 (*.f64 x 1/2) (log.f64 2))
(-.f64 (fma.f64 x 1/2 1) (-.f64 1 (log.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (*.f64 x 1/2)))
(-.f64 (+.f64 (log.f64 2) (fma.f64 x 1/2 1)) 1)
(-.f64 (+.f64 (*.f64 x 1/2) (exp.f64 (log1p.f64 (log.f64 2)))) 1)
(*.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(*.f64 -1 (neg.f64 (fma.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 (pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))) -1))
(pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(pow.f64 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))) -1)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) -1))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 1 (*.f64 x 1/2) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(+.f64 (*.f64 x 1/2) (log.f64 2))
(-.f64 (fma.f64 x 1/2 1) (-.f64 1 (log.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (*.f64 x 1/2)))
(-.f64 (+.f64 (log.f64 2) (fma.f64 x 1/2 1)) 1)
(-.f64 (+.f64 (*.f64 x 1/2) (exp.f64 (log1p.f64 (log.f64 2)))) 1)
(*.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(*.f64 -1 (neg.f64 (fma.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 (pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))) -1))
(/.f64 1 (/.f64 1 (fma.f64 x 1/2 (log.f64 2))))
(/.f64 1 (neg.f64 (/.f64 -1 (fma.f64 x 1/2 (log.f64 2)))))
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(*.f64 (neg.f64 (*.f64 x y)) 1)
(*.f64 (-.f64 1 (pow.f64 (fma.f64 x y 1) 2)) (/.f64 1 (+.f64 (*.f64 x y) 2)))
(*.f64 (-.f64 1 (pow.f64 (fma.f64 x y 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x y 1) 2) (+.f64 (*.f64 x y) 2))))
(*.f64 (sqrt.f64 (neg.f64 (*.f64 x y))) (sqrt.f64 (neg.f64 (*.f64 x y))))
(*.f64 (cbrt.f64 (neg.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (neg.f64 (*.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (*.f64 x y))) 2) (cbrt.f64 (neg.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (*.f64 x y) 2) (-.f64 1 (pow.f64 (fma.f64 x y 1) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x y 1) 2) (+.f64 (*.f64 x y) 2)) (-.f64 1 (pow.f64 (fma.f64 x y 1) 3))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x y 1) 2)) (+.f64 (*.f64 x y) 2))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x y 1) 3)) (+.f64 (pow.f64 (fma.f64 x y 1) 2) (+.f64 (*.f64 x y) 2)))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (fma.f64 x y 1)) (neg.f64 (fma.f64 x y 1)))) (-.f64 2 (neg.f64 (*.f64 x y))))
(/.f64 (-.f64 0 (pow.f64 (*.f64 x y) 2)) (*.f64 x y))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (fma.f64 x y 1)) 3)) (-.f64 (+.f64 1 (*.f64 (neg.f64 (fma.f64 x y 1)) (neg.f64 (fma.f64 x y 1)))) (neg.f64 (fma.f64 x y 1))))
(/.f64 (-.f64 0 (pow.f64 (*.f64 x y) 3)) (+.f64 (+.f64 0 (pow.f64 (*.f64 x y) 2)) (*.f64 0 (*.f64 x y))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 x y 1) 2))) (neg.f64 (+.f64 (*.f64 x y) 2)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 x y 1) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x y 1) 2) (+.f64 (*.f64 x y) 2))))
(pow.f64 (neg.f64 (*.f64 x y)) 1)
(pow.f64 (pow.f64 (neg.f64 (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (neg.f64 (*.f64 x y))) 2)
(pow.f64 (cbrt.f64 (neg.f64 (*.f64 x y))) 3)
(neg.f64 (*.f64 x y))
(sqrt.f64 (pow.f64 (neg.f64 (*.f64 x y)) 2))
(log.f64 (exp.f64 (neg.f64 (*.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (neg.f64 (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (neg.f64 (*.f64 x y))))
(exp.f64 (log.f64 (neg.f64 (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (*.f64 x y))) 1))
(log1p.f64 (expm1.f64 (neg.f64 (*.f64 x y))))
(-.f64 1 (-.f64 (fma.f64 x y 1) (*.f64 x 1/2)))
(-.f64 (*.f64 x 1/2) (*.f64 x y))
(-.f64 (*.f64 x (-.f64 1/2 y)) 0)
(-.f64 (fma.f64 x 1/2 1) (fma.f64 x y 1))
(-.f64 (fma.f64 x 1/2 1) (-.f64 1 (neg.f64 (*.f64 x y))))
(-.f64 (fma.f64 x 1/2 1) (-.f64 1 (*.f64 (neg.f64 y) x)))
(-.f64 (fma.f64 x 1/2 1) (-.f64 1 (*.f64 x (neg.f64 y))))
(-.f64 0 (-.f64 (*.f64 x y) (*.f64 x 1/2)))
(-.f64 (fma.f64 x 1/2 -1) (-.f64 (*.f64 x y) 1))
(-.f64 (-.f64 1 (*.f64 x y)) (-.f64 1 (*.f64 x 1/2)))
(-.f64 (+.f64 1 (*.f64 x (-.f64 1/2 y))) 1)
(-.f64 (/.f64 1 (+.f64 (*.f64 x y) 2)) (-.f64 (/.f64 (pow.f64 (fma.f64 x y 1) 2) (+.f64 (*.f64 x y) 2)) (*.f64 x 1/2)))
(-.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x y 1) 2) (+.f64 (*.f64 x y) 2))) (-.f64 (/.f64 (pow.f64 (fma.f64 x y 1) 3) (+.f64 (pow.f64 (fma.f64 x y 1) 2) (+.f64 (*.f64 x y) 2))) (*.f64 x 1/2)))
(-.f64 (/.f64 1 (-.f64 1 (+.f64 (*.f64 x (-.f64 1/2 y)) -1))) (/.f64 (pow.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1) 2) (-.f64 1 (+.f64 (*.f64 x (-.f64 1/2 y)) -1))))
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 x 1/2) (*.f64 x y))) (/.f64 (pow.f64 (neg.f64 (*.f64 x y)) 2) (+.f64 (*.f64 x 1/2) (*.f64 x y))))
(-.f64 (/.f64 (*.f64 1/4 (pow.f64 x 2)) (fma.f64 x 1/2 (fma.f64 x y 1))) (-.f64 (/.f64 (pow.f64 (fma.f64 x y 1) 2) (fma.f64 x 1/2 (fma.f64 x y 1))) 1))
(-.f64 (/.f64 (*.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (fma.f64 x y 1) (fma.f64 x 1/2 (fma.f64 x y 1))))) (-.f64 (/.f64 (pow.f64 (fma.f64 x y 1) 3) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (fma.f64 x y 1) (fma.f64 x 1/2 (fma.f64 x y 1))))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(-.f64 (+.f64 1 (/.f64 (*.f64 1/4 (pow.f64 x 2)) (fma.f64 x 1/2 (fma.f64 x y 1)))) (/.f64 (pow.f64 (fma.f64 x y 1) 2) (fma.f64 x 1/2 (fma.f64 x y 1))))
(-.f64 (+.f64 1 (/.f64 (*.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (fma.f64 x y 1) (fma.f64 x 1/2 (fma.f64 x y 1)))))) (/.f64 (pow.f64 (fma.f64 x y 1) 3) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (fma.f64 x y 1) (fma.f64 x 1/2 (fma.f64 x y 1))))))
(-.f64 (+.f64 (*.f64 x 1/2) (/.f64 1 (+.f64 (*.f64 x y) 2))) (/.f64 (pow.f64 (fma.f64 x y 1) 2) (+.f64 (*.f64 x y) 2)))
(-.f64 (+.f64 (*.f64 x 1/2) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x y 1) 2) (+.f64 (*.f64 x y) 2)))) (/.f64 (pow.f64 (fma.f64 x y 1) 3) (+.f64 (pow.f64 (fma.f64 x y 1) 2) (+.f64 (*.f64 x y) 2))))
(-.f64 (+.f64 (neg.f64 (*.f64 x y)) (fma.f64 x 1/2 1)) 1)
(-.f64 (+.f64 (fma.f64 x 1/2 1) 0) (fma.f64 x y 1))
(*.f64 1 (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (*.f64 x (-.f64 1/2 y)) 1)
(*.f64 (-.f64 1 (pow.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1) 2)) (/.f64 1 (-.f64 1 (+.f64 (*.f64 x (-.f64 1/2 y)) -1))))
(*.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 (neg.f64 (*.f64 x y)) 2)) (/.f64 1 (+.f64 (*.f64 x 1/2) (*.f64 x y))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1) 2) (-.f64 1 (+.f64 (*.f64 x (-.f64 1/2 y)) -1)))))
(*.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (neg.f64 (*.f64 x y)) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (neg.f64 (*.f64 x y)) (-.f64 (neg.f64 (*.f64 x y)) (*.f64 x 1/2))))))
(*.f64 -1 (*.f64 x (neg.f64 (-.f64 1/2 y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)))
(*.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x))
(*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))
(*.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (/.f64 1 (/.f64 1 x)) (-.f64 1/2 y))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) -1/2) -1) (pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) -2)) -1) (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y)))) -1))
(/.f64 1 (/.f64 1 (*.f64 x (-.f64 1/2 y))))
(/.f64 1 (/.f64 (+.f64 (*.f64 x 1/2) (*.f64 x y)) (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 (neg.f64 (*.f64 x y)) 2))))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (neg.f64 (*.f64 x y)) (-.f64 (neg.f64 (*.f64 x y)) (*.f64 x 1/2)))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (neg.f64 (*.f64 x y)) 3))))
(/.f64 1 (/.f64 (-.f64 1 (+.f64 (*.f64 x (-.f64 1/2 y)) -1)) (-.f64 1 (pow.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1) 2) (-.f64 1 (+.f64 (*.f64 x (-.f64 1/2 y)) -1))) (+.f64 1 (pow.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1) 3))))
(/.f64 1 (neg.f64 (/.f64 -1 (*.f64 x (-.f64 1/2 y)))))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 (-.f64 1/2 y) (/.f64 1 x))
(/.f64 (*.f64 x (-.f64 1/2 y)) 1)
(/.f64 (-.f64 1 (pow.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1) 2)) (-.f64 1 (+.f64 (*.f64 x (-.f64 1/2 y)) -1)))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 (neg.f64 (*.f64 x y)) 2)) (+.f64 (*.f64 x 1/2) (*.f64 x y)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1) 3)) (+.f64 (pow.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1) 2) (-.f64 1 (+.f64 (*.f64 x (-.f64 1/2 y)) -1))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (neg.f64 (*.f64 x y)) 3)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (neg.f64 (*.f64 x y)) (-.f64 (neg.f64 (*.f64 x y)) (*.f64 x 1/2)))))
(/.f64 -1 (/.f64 -1 (*.f64 x (-.f64 1/2 y))))
(/.f64 (*.f64 x (neg.f64 (-.f64 1/2 y))) -1)
(/.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y)))))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) -2))) (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (neg.f64 (*.f64 x y)) 2) (*.f64 1/4 (pow.f64 x 2))) (-.f64 (neg.f64 (*.f64 x y)) (*.f64 x 1/2)))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1) 2) 1) (-.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1) 1))
(/.f64 (-.f64 (*.f64 (fma.f64 x 1/2 1) (fma.f64 x 1/2 1)) (pow.f64 (fma.f64 x y 1) 2)) (+.f64 1 (fma.f64 x 1/2 (fma.f64 x y 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 1) 3) (pow.f64 (fma.f64 x y 1) 3)) (+.f64 (*.f64 (fma.f64 x 1/2 1) (fma.f64 x 1/2 1)) (+.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 (fma.f64 x 1/2 1) (fma.f64 x y 1)))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 (neg.f64 (*.f64 x y)) 2))) (neg.f64 (+.f64 (*.f64 x 1/2) (*.f64 x y))))
(/.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (neg.f64 (*.f64 x y)) 3))) (neg.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (neg.f64 (*.f64 x y)) (-.f64 (neg.f64 (*.f64 x y)) (*.f64 x 1/2))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1) 2))) (neg.f64 (-.f64 1 (+.f64 (*.f64 x (-.f64 1/2 y)) -1))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1) 2) (-.f64 1 (+.f64 (*.f64 x (-.f64 1/2 y)) -1)))))
(pow.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) -1)
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) -1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(fma.f64 1 (*.f64 x 1/2) (neg.f64 (*.f64 x y)))
(fma.f64 1 (+.f64 (*.f64 x (-.f64 1/2 y)) -1) 1)
(fma.f64 1 (neg.f64 (*.f64 x y)) (*.f64 x 1/2))
(fma.f64 x 1/2 (neg.f64 (*.f64 x y)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (neg.f64 (*.f64 x y)))
(fma.f64 (sqrt.f64 (neg.f64 (*.f64 x y))) (sqrt.f64 (neg.f64 (*.f64 x y))) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1)) (sqrt.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (neg.f64 (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (*.f64 x y))) 2) (cbrt.f64 (neg.f64 (*.f64 x y))) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1)) 2) (cbrt.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1)) 1)
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 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(/.f64 1 (log.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2))) (/.f64 1 (log.f64 2)))
(fma.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2)) (/.f64 1 (log.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 3))) (/.f64 1 (log.f64 2))))
(fma.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2)) (fma.f64 1/4 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 3)) (/.f64 1 (log.f64 2))))
(+.f64 (*.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 4))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 3))) (/.f64 1 (log.f64 2)))))
(fma.f64 -1/2 (/.f64 x (pow.f64 (log.f64 2) 2)) (fma.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 4)) (fma.f64 1/4 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 3)) (/.f64 1 (log.f64 2)))))
(/.f64 2 x)
(+.f64 (*.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(fma.f64 -4 (/.f64 (log.f64 2) (pow.f64 x 2)) (/.f64 2 x))
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(*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))
(*.f64 x (*.f64 (sqrt.f64 (-.f64 1/2 y)) (sqrt.f64 (-.f64 1/2 y))))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 x (cbrt.f64 (-.f64 1/2 y))))
(*.f64 (cbrt.f64 (-.f64 1/2 y)) (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))
(*.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (-.f64 1/2 y) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 1/2 y) (cbrt.f64 x)))
(*.f64 (/.f64 1 (/.f64 1 x)) (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) -1/2) -1) (pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) -1/2) -1))
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) -1/2) -2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) -2)) -1) (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y)))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) -2))) (/.f64 1 (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))))))
(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) -2)))) (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y)))))
(/.f64 1 (/.f64 1 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(/.f64 1 (/.f64 (+.f64 (*.f64 x 1/2) (*.f64 x y)) (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 (neg.f64 (*.f64 x y)) 2))))
(*.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 (*.f64 x (neg.f64 y)) 2)) (/.f64 1 (*.f64 x (+.f64 1/2 y))))
(*.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (*.f64 x (+.f64 1/2 y))))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (neg.f64 (*.f64 x y)) (-.f64 (neg.f64 (*.f64 x y)) (*.f64 x 1/2)))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (neg.f64 (*.f64 x y)) 3))))
(/.f64 (*.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) 1) (fma.f64 1/4 (pow.f64 x 2) (*.f64 (*.f64 x (neg.f64 y)) (-.f64 (*.f64 x (neg.f64 y)) (*.f64 1/2 x)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (/.f64 (fma.f64 1/4 (pow.f64 x 2) (*.f64 x (*.f64 (neg.f64 y) (*.f64 x (-.f64 (neg.f64 y) 1/2))))) 1))
(/.f64 1 (/.f64 (-.f64 1 (+.f64 (*.f64 x (-.f64 1/2 y)) -1)) (-.f64 1 (pow.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1) 2))))
(*.f64 (/.f64 1 (-.f64 1 (fma.f64 x (-.f64 1/2 y) -1))) (-.f64 1 (pow.f64 (fma.f64 x (-.f64 1/2 y) -1) 2)))
(*.f64 (/.f64 1 (-.f64 2 (*.f64 x (-.f64 1/2 y)))) (-.f64 1 (pow.f64 (fma.f64 x (-.f64 1/2 y) -1) 2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1) 2) (-.f64 1 (+.f64 (*.f64 x (-.f64 1/2 y)) -1))) (+.f64 1 (pow.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1) 3))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 x (-.f64 1/2 y) -1) 3)) (/.f64 1 (+.f64 (-.f64 1 (fma.f64 x (-.f64 1/2 y) -1)) (pow.f64 (fma.f64 x (-.f64 1/2 y) -1) 2))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 x (-.f64 1/2 y) -1) 3)) (/.f64 1 (+.f64 (-.f64 2 (*.f64 x (-.f64 1/2 y))) (pow.f64 (fma.f64 x (-.f64 1/2 y) -1) 2))))
(/.f64 1 (neg.f64 (/.f64 -1 (*.f64 x (-.f64 1/2 y)))))
(*.f64 x (-.f64 1/2 y))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(/.f64 (-.f64 1/2 y) (/.f64 1 x))
(*.f64 x (-.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/2 y)) 1)
(*.f64 x (-.f64 1/2 y))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1) 2)) (-.f64 1 (+.f64 (*.f64 x (-.f64 1/2 y)) -1)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x (-.f64 1/2 y) -1) 2)) (-.f64 1 (fma.f64 x (-.f64 1/2 y) -1)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x (-.f64 1/2 y) -1) 2)) (-.f64 2 (*.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 (neg.f64 (*.f64 x y)) 2)) (+.f64 (*.f64 x 1/2) (*.f64 x y)))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 (*.f64 x (neg.f64 y)) 2)) (*.f64 x (+.f64 1/2 y)))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 (*.f64 x y) 2)) (*.f64 x (+.f64 1/2 y)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1) 3)) (+.f64 (pow.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1) 2) (-.f64 1 (+.f64 (*.f64 x (-.f64 1/2 y)) -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x (-.f64 1/2 y) -1) 3)) (+.f64 (-.f64 1 (fma.f64 x (-.f64 1/2 y) -1)) (pow.f64 (fma.f64 x (-.f64 1/2 y) -1) 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x (-.f64 1/2 y) -1) 3)) (+.f64 (-.f64 2 (*.f64 x (-.f64 1/2 y))) (pow.f64 (fma.f64 x (-.f64 1/2 y) -1) 2)))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (neg.f64 (*.f64 x y)) 3)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (neg.f64 (*.f64 x y)) (-.f64 (neg.f64 (*.f64 x y)) (*.f64 x 1/2)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (fma.f64 1/4 (pow.f64 x 2) (*.f64 (*.f64 x (neg.f64 y)) (-.f64 (*.f64 x (neg.f64 y)) (*.f64 1/2 x)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (fma.f64 1/4 (pow.f64 x 2) (*.f64 x (*.f64 (neg.f64 y) (*.f64 x (-.f64 (neg.f64 y) 1/2))))))
(/.f64 -1 (/.f64 -1 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(/.f64 (*.f64 x (neg.f64 (-.f64 1/2 y))) -1)
(*.f64 x (-.f64 1/2 y))
(/.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y)))))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (pow.f64 y 2))))
(*.f64 (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)) x)
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(/.f64 x (/.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y))) (-.f64 1/8 (pow.f64 y 3))))
(*.f64 (/.f64 (-.f64 1/8 (pow.f64 y 3)) (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))) x)
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (pow.f64 y 2))))
(*.f64 (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 1/2 y)) x)
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(/.f64 x (/.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y))) (-.f64 1/8 (pow.f64 y 3))))
(*.f64 (/.f64 (-.f64 1/8 (pow.f64 y 3)) (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))) x)
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) -2))) (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y)))))
(/.f64 1 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y)))) (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) -2))))
(/.f64 (-.f64 (pow.f64 (neg.f64 (*.f64 x y)) 2) (*.f64 1/4 (pow.f64 x 2))) (-.f64 (neg.f64 (*.f64 x y)) (*.f64 x 1/2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 -1/4 (pow.f64 x 2))) (-.f64 (*.f64 x (neg.f64 y)) (*.f64 1/2 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (pow.f64 x 2) -1/4)) (*.f64 x (-.f64 (neg.f64 y) 1/2)))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1) 2) 1) (-.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1) 1))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) -1) 2) -1) (+.f64 (*.f64 x (-.f64 1/2 y)) -2))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (-.f64 1/2 y) -1) 2)) (+.f64 (*.f64 x (-.f64 1/2 y)) -2))
(/.f64 (-.f64 (*.f64 (fma.f64 x 1/2 1) (fma.f64 x 1/2 1)) (pow.f64 (fma.f64 x y 1) 2)) (+.f64 1 (fma.f64 x 1/2 (fma.f64 x y 1))))
(/.f64 (-.f64 (*.f64 (fma.f64 x 1/2 1) (fma.f64 x 1/2 1)) (pow.f64 (fma.f64 x y 1) 2)) (+.f64 1 (+.f64 (*.f64 x (+.f64 1/2 y)) 1)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 1) 3) (pow.f64 (fma.f64 x y 1) 3)) (+.f64 (*.f64 (fma.f64 x 1/2 1) (fma.f64 x 1/2 1)) (+.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 (fma.f64 x 1/2 1) (fma.f64 x y 1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 1) 3) (pow.f64 (fma.f64 x y 1) 3)) (fma.f64 (fma.f64 x 1/2 1) (fma.f64 x 1/2 1) (+.f64 (*.f64 (fma.f64 x 1/2 1) (fma.f64 x y 1)) (pow.f64 (fma.f64 x y 1) 2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 1) 3) (pow.f64 (fma.f64 x y 1) 3)) (fma.f64 (fma.f64 x 1/2 1) (fma.f64 x 1/2 1) (*.f64 (fma.f64 x y 1) (+.f64 1 (+.f64 (*.f64 x (+.f64 1/2 y)) 1)))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (pow.f64 x 2)) (pow.f64 (neg.f64 (*.f64 x y)) 2))) (neg.f64 (+.f64 (*.f64 x 1/2) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 -1/4 (pow.f64 x 2))) (-.f64 (*.f64 x (neg.f64 y)) (*.f64 1/2 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (pow.f64 x 2) -1/4)) (*.f64 x (-.f64 (neg.f64 y) 1/2)))
(/.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (neg.f64 (*.f64 x y)) 3))) (neg.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (neg.f64 (*.f64 x y)) (-.f64 (neg.f64 (*.f64 x y)) (*.f64 x 1/2))))))
(/.f64 (neg.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (*.f64 x (neg.f64 y)) 3))) (neg.f64 (fma.f64 1/4 (pow.f64 x 2) (*.f64 (*.f64 x (neg.f64 y)) (-.f64 (*.f64 x (neg.f64 y)) (*.f64 1/2 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (*.f64 -1/8 (pow.f64 x 3))) (+.f64 (*.f64 (*.f64 x y) (*.f64 x (-.f64 (neg.f64 y) 1/2))) (*.f64 (pow.f64 x 2) -1/4)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1) 2))) (neg.f64 (-.f64 1 (+.f64 (*.f64 x (-.f64 1/2 y)) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) -1) 2) -1) (+.f64 (*.f64 x (-.f64 1/2 y)) -2))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (-.f64 1/2 y) -1) 2)) (+.f64 (*.f64 x (-.f64 1/2 y)) -2))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1) 2) (-.f64 1 (+.f64 (*.f64 x (-.f64 1/2 y)) -1)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 x (-.f64 1/2 y) -1) 3))) (neg.f64 (+.f64 (-.f64 1 (fma.f64 x (-.f64 1/2 y) -1)) (pow.f64 (fma.f64 x (-.f64 1/2 y) -1) 2))))
(/.f64 (-.f64 -1 (pow.f64 (fma.f64 x (-.f64 1/2 y) -1) 3)) (-.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -2) (pow.f64 (fma.f64 x (-.f64 1/2 y) -1) 2)))
(pow.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) -1)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(*.f64 x (-.f64 1/2 y))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(*.f64 (-.f64 1/2 y) (log.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(*.f64 x (-.f64 1/2 y))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(*.f64 x (-.f64 1/2 y))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3)))
(*.f64 x (-.f64 1/2 y))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3)))
(*.f64 x (-.f64 1/2 y))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) -1))
(*.f64 x (-.f64 1/2 y))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(fma.f64 1 (*.f64 x 1/2) (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(fma.f64 1 (+.f64 (*.f64 x (-.f64 1/2 y)) -1) 1)
(*.f64 x (-.f64 1/2 y))
(fma.f64 1 (neg.f64 (*.f64 x y)) (*.f64 x 1/2))
(*.f64 x (-.f64 1/2 y))
(fma.f64 x 1/2 (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (neg.f64 (*.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (neg.f64 (*.f64 x y))) (sqrt.f64 (neg.f64 (*.f64 x y))) (*.f64 x 1/2))
(*.f64 x (-.f64 1/2 y))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1)) (sqrt.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1)) 1)
(*.f64 x (-.f64 1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (neg.f64 (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (*.f64 x y))) 2) (cbrt.f64 (neg.f64 (*.f64 x y))) (*.f64 x 1/2))
(*.f64 x (-.f64 1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1)) 2) (cbrt.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) -1)) 1)
(*.f64 x (-.f64 1/2 y))

eval223.0ms (2.2%)

Compiler

Compiled 11075 to 7631 computations (31.1% saved)

prune103.0ms (1%)

Pruning

19 alts after pruning (11 fresh and 8 done)

PrunedKeptTotal
New58110591
Fresh112
Picked235
Done055
Total58419603
Accuracy
99.7%
Counts
603 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.7%
(/.f64 (-.f64 1/2 y) (/.f64 1 x))
41.7%
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
✓41.8%
(/.f64 1 (/.f64 1 (*.f64 x (-.f64 1/2 y))))
52.6%
(/.f64 1 (/.f64 -1 (*.f64 x y)))
3.1%
(/.f64 1 (+.f64 (*.f64 4 (/.f64 y x)) (*.f64 2 (/.f64 1 x))))
41.7%
(/.f64 1 (*.f64 (/.f64 1 x) (/.f64 1 (-.f64 1/2 y))))
13.5%
(/.f64 1 (log.f64 (exp.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))))))
86.9%
(-.f64 (+.f64 (+.f64 (log1p.f64 1) 1) (-.f64 (*.f64 x 1/2) 1)) (*.f64 x y))
✓87.7%
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
41.4%
(-.f64 (+.f64 1 (*.f64 x (-.f64 1/2 y))) 1)
✓99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓93.2%
(-.f64 (log.f64 2) (*.f64 x y))
✓41.7%
(+.f64 (*.f64 x 1/2) (-.f64 1 (+.f64 1 (*.f64 x y))))
3.4%
(+.f64 1 (-.f64 (*.f64 1/2 x) 1))
2.7%
(+.f64 1 -1)
41.8%
(*.f64 (/.f64 1 (/.f64 1 x)) (-.f64 1/2 y))
✓41.8%
(*.f64 (-.f64 1/2 y) x)
✓52.6%
(*.f64 y (neg.f64 x))
✓48.6%
(log.f64 2)
Compiler

Compiled 433 to 317 computations (26.8% saved)

regimes41.0ms (0.4%)

Counts
27 → 1
Calls
Call 1
Inputs
(+.f64 1 -1)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(+.f64 1 (-.f64 (*.f64 1/2 x) 1))
(-.f64 (*.f64 x 1/2) (*.f64 x y))
(/.f64 1 (/.f64 -1 (*.f64 x y)))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 (-.f64 1/2 y) (/.f64 1 x))
(*.f64 (/.f64 1 (/.f64 1 x)) (-.f64 1/2 y))
(-.f64 (+.f64 1 (*.f64 x (-.f64 1/2 y))) 1)
(/.f64 1 (/.f64 1 (*.f64 x (-.f64 1/2 y))))
(+.f64 1 (-.f64 (*.f64 x 1/2) (+.f64 1 (*.f64 x y))))
(+.f64 (*.f64 x 1/2) (-.f64 1 (+.f64 1 (*.f64 x y))))
(/.f64 1 (*.f64 (/.f64 1 x) (/.f64 1 (-.f64 1/2 y))))
(/.f64 1 (+.f64 (*.f64 4 (/.f64 y x)) (*.f64 2 (/.f64 1 x))))
(log.f64 2)
(-.f64 (log.f64 2) (*.f64 x y))
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
(-.f64 (+.f64 (+.f64 (log1p.f64 1) 1) (-.f64 (*.f64 x 1/2) 1)) (*.f64 x y))
(-.f64 (-.f64 (+.f64 (+.f64 (log.f64 2) (*.f64 x 1/2)) 1) 1) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1) (*.f64 x y))
(/.f64 1 (log.f64 (exp.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))))))
(-.f64 (/.f64 1 (/.f64 1 (fma.f64 x 1/2 (log1p.f64 1)))) (*.f64 x y))
(-.f64 (+.f64 (log1p.f64 1) (exp.f64 (log.f64 (*.f64 x 1/2)))) (*.f64 x y))
(-.f64 (+.f64 (log1p.f64 1) (expm1.f64 (log1p.f64 (*.f64 x 1/2)))) (*.f64 x y))
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Calls

3 calls:

13.0ms
y
13.0ms
x
8.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 260 to 177 computations (31.9% saved)

regimes114.0ms (1.1%)

Counts
20 → 2
Calls
Call 1
Inputs
(+.f64 1 -1)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(+.f64 1 (-.f64 (*.f64 1/2 x) 1))
(-.f64 (*.f64 x 1/2) (*.f64 x y))
(/.f64 1 (/.f64 -1 (*.f64 x y)))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 (-.f64 1/2 y) (/.f64 1 x))
(*.f64 (/.f64 1 (/.f64 1 x)) (-.f64 1/2 y))
(-.f64 (+.f64 1 (*.f64 x (-.f64 1/2 y))) 1)
(/.f64 1 (/.f64 1 (*.f64 x (-.f64 1/2 y))))
(+.f64 1 (-.f64 (*.f64 x 1/2) (+.f64 1 (*.f64 x y))))
(+.f64 (*.f64 x 1/2) (-.f64 1 (+.f64 1 (*.f64 x y))))
(/.f64 1 (*.f64 (/.f64 1 x) (/.f64 1 (-.f64 1/2 y))))
(/.f64 1 (+.f64 (*.f64 4 (/.f64 y x)) (*.f64 2 (/.f64 1 x))))
(log.f64 2)
(-.f64 (log.f64 2) (*.f64 x y))
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
(-.f64 (+.f64 (+.f64 (log1p.f64 1) 1) (-.f64 (*.f64 x 1/2) 1)) (*.f64 x y))
(-.f64 (-.f64 (+.f64 (+.f64 (log.f64 2) (*.f64 x 1/2)) 1) 1) (*.f64 x y))
Outputs
(*.f64 y (neg.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
Calls

2 calls:

19.0ms
x
12.0ms
y
Results
AccuracySegmentsBranch
98.9%2x
93.2%1y
Compiler

Compiled 174 to 123 computations (29.3% saved)

regimes22.0ms (0.2%)

Counts
17 → 2
Calls
Call 1
Inputs
(+.f64 1 -1)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(+.f64 1 (-.f64 (*.f64 1/2 x) 1))
(-.f64 (*.f64 x 1/2) (*.f64 x y))
(/.f64 1 (/.f64 -1 (*.f64 x y)))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 (-.f64 1/2 y) (/.f64 1 x))
(*.f64 (/.f64 1 (/.f64 1 x)) (-.f64 1/2 y))
(-.f64 (+.f64 1 (*.f64 x (-.f64 1/2 y))) 1)
(/.f64 1 (/.f64 1 (*.f64 x (-.f64 1/2 y))))
(+.f64 1 (-.f64 (*.f64 x 1/2) (+.f64 1 (*.f64 x y))))
(+.f64 (*.f64 x 1/2) (-.f64 1 (+.f64 1 (*.f64 x y))))
(/.f64 1 (*.f64 (/.f64 1 x) (/.f64 1 (-.f64 1/2 y))))
(/.f64 1 (+.f64 (*.f64 4 (/.f64 y x)) (*.f64 2 (/.f64 1 x))))
(log.f64 2)
(-.f64 (log.f64 2) (*.f64 x y))
Outputs
(*.f64 y (neg.f64 x))
(-.f64 (log.f64 2) (*.f64 x y))
Calls

1 calls:

18.0ms
x
Results
AccuracySegmentsBranch
98.7%2x
Compiler

Compiled 133 to 95 computations (28.6% saved)

regimes68.0ms (0.7%)

Counts
16 → 3
Calls
Call 1
Inputs
(+.f64 1 -1)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(+.f64 1 (-.f64 (*.f64 1/2 x) 1))
(-.f64 (*.f64 x 1/2) (*.f64 x y))
(/.f64 1 (/.f64 -1 (*.f64 x y)))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 (-.f64 1/2 y) (/.f64 1 x))
(*.f64 (/.f64 1 (/.f64 1 x)) (-.f64 1/2 y))
(-.f64 (+.f64 1 (*.f64 x (-.f64 1/2 y))) 1)
(/.f64 1 (/.f64 1 (*.f64 x (-.f64 1/2 y))))
(+.f64 1 (-.f64 (*.f64 x 1/2) (+.f64 1 (*.f64 x y))))
(+.f64 (*.f64 x 1/2) (-.f64 1 (+.f64 1 (*.f64 x y))))
(/.f64 1 (*.f64 (/.f64 1 x) (/.f64 1 (-.f64 1/2 y))))
(/.f64 1 (+.f64 (*.f64 4 (/.f64 y x)) (*.f64 2 (/.f64 1 x))))
(log.f64 2)
Outputs
(*.f64 y (neg.f64 x))
(log.f64 2)
(*.f64 (-.f64 1/2 y) x)
Calls

2 calls:

33.0ms
x
31.0ms
y
Results
AccuracySegmentsBranch
73.7%3y
84.5%3x
Compiler

Compiled 130 to 94 computations (27.7% saved)

regimes21.0ms (0.2%)

Counts
15 → 1
Calls
Call 1
Inputs
(+.f64 1 -1)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(+.f64 1 (-.f64 (*.f64 1/2 x) 1))
(-.f64 (*.f64 x 1/2) (*.f64 x y))
(/.f64 1 (/.f64 -1 (*.f64 x y)))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 (-.f64 1/2 y) (/.f64 1 x))
(*.f64 (/.f64 1 (/.f64 1 x)) (-.f64 1/2 y))
(-.f64 (+.f64 1 (*.f64 x (-.f64 1/2 y))) 1)
(/.f64 1 (/.f64 1 (*.f64 x (-.f64 1/2 y))))
(+.f64 1 (-.f64 (*.f64 x 1/2) (+.f64 1 (*.f64 x y))))
(+.f64 (*.f64 x 1/2) (-.f64 1 (+.f64 1 (*.f64 x y))))
(/.f64 1 (*.f64 (/.f64 1 x) (/.f64 1 (-.f64 1/2 y))))
(/.f64 1 (+.f64 (*.f64 4 (/.f64 y x)) (*.f64 2 (/.f64 1 x))))
Outputs
(*.f64 y (neg.f64 x))
Calls

2 calls:

9.0ms
x
8.0ms
y
Results
AccuracySegmentsBranch
52.6%1y
52.6%1x
Compiler

Compiled 128 to 92 computations (28.1% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(+.f64 1 -1)
Outputs
(+.f64 1 -1)
Calls

2 calls:

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

Compiled 11 to 9 computations (18.2% saved)

bsearch57.0ms (0.6%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
56.0ms
-1.7224587737825023
-0.31256712436481265
Results
55.0ms95×body256valid
0.0ms1×body256infinite
Compiler

Compiled 136 to 102 computations (25% saved)

bsearch28.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
27.0ms
-31974781537.541775
-1.7224587737825023
Results
20.0ms142×body256valid
3.0ms12×body512valid
3.0ms6×body1024valid
Compiler

Compiled 176 to 132 computations (25% saved)

bsearch26.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
8.0ms
1.189753759675945e-18
1.7106163428836397e-18
17.0ms
-1.0261492905760225e-16
-2.0209784013020158e-19
Results
23.0ms192×body256valid
Compiler

Compiled 164 to 136 computations (17.1% saved)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
8×+-commutative
7×*-commutative
4×cancel-sign-sub-inv
3×sub-neg
3×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042232
159232
271232
376232
478232
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (*.f64 y (neg.f64 x)) (-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y)))
(if (<=.f64 x -54) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -8437482395119095/324518553658426726783156020576256) (*.f64 y (neg.f64 x)) (if (<=.f64 x 3946145612486469/2596148429267413814265248164610048) (log.f64 2) (*.f64 (-.f64 1/2 y) x)))
(*.f64 y (neg.f64 x))
(+.f64 1 -1)
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (*.f64 y (neg.f64 x)) (-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y)))
(if (<=.f64 x -3152519739159347/2251799813685248) (*.f64 y (neg.f64 x)) (-.f64 (+.f64 (log.f64 2) (*.f64 x 1/2)) (*.f64 x y)))
(if (<=.f64 x -3152519739159347/2251799813685248) (*.f64 x (neg.f64 y)) (-.f64 (+.f64 (log.f64 2) (*.f64 x 1/2)) (*.f64 x y)))
(if (<=.f64 x -54) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -54) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -8437482395119095/324518553658426726783156020576256) (*.f64 y (neg.f64 x)) (if (<=.f64 x 3946145612486469/2596148429267413814265248164610048) (log.f64 2) (*.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -8437482395119095/324518553658426726783156020576256) (*.f64 y (neg.f64 x)) (if (<=.f64 x 3946145612486469/2596148429267413814265248164610048) (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -8437482395119095/324518553658426726783156020576256) (*.f64 x (neg.f64 y)) (if (<=.f64 x 3946145612486469/2596148429267413814265248164610048) (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 1 -1)
0
Compiler

Compiled 75 to 53 computations (29.3% saved)

soundness1.3s (12.5%)

Rules
538×associate-+r+
522×associate-+l+
465×times-frac
436×fma-def
430×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028158
161154
296146
3213146
4533146
5789146
61336146
72859146
84881146
075319473
1190318120
2740418120
022133
133599
2378299
075319473
1190318120
2740418120
022133
133599
2378299
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 148 to 90 computations (39.2% saved)

end0.0ms (0%)

preprocess99.0ms (1%)

Compiler

Compiled 208 to 126 computations (39.4% saved)

Profiling

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