Logistic regression 2

Time bar (total: 7.6s)

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)

sample2.7s (35.9%)

Results
1.5s2148×body8192exit
916.0ms6876×body256valid
140.0ms988×body256infinite
97.0ms177×body1024valid
54.0ms215×body512valid
Bogosity

preprocess258.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
1530×times-frac
1354×fma-def
800×fma-neg
722×fabs-mul
544×cancel-sign-sub-inv
Problems
253×No Errors
3×(log.f64 (+.f64 1 (exp.f64 x)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028158
164154
297146
3214146
4367146
5608146
61137146
72601146
85625146
97762146
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 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y))
(+.f64 (log1p.f64 (exp.f64 (neg.f64 x))) (*.f64 x y))
(+.f64 (*.f64 x y) (log1p.f64 (exp.f64 (neg.f64 x))))
(fma.f64 x y (log1p.f64 (exp.f64 (neg.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(-.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)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
▶99.2%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶99.2%
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
▶99.2%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Compiler

Compiled 36 to 24 computations (33.3% saved)

localize87.0ms (1.1%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
✓100.0%
(exp.f64 x)
✓99.2%
(log1p.f64 (exp.f64 x))
✓100.0%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓100.0%
(exp.f64 x)
✓99.2%
(log1p.f64 (exp.f64 x))
Compiler

Compiled 36 to 9 computations (75% saved)

series57.0ms (0.8%)

Counts
5 → 56
Calls

18 calls:

TimeVariablePointExpression
35.0ms
x
@inf
(log1p.f64 (exp.f64 x))
17.0ms
x
@-inf
(log1p.f64 (exp.f64 x))
3.0ms
y
@0
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms
x
@0
(log1p.f64 (exp.f64 x))
0.0ms
x
@inf
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite155.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
1318×prod-diff
972×unpow-prod-down
674×log-prod
640×log1p-expm1-u
640×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01270
113670
2175870
Stop Event
1×node limit
Counts
5 → 347
Calls
Call 1
Inputs
(log1p.f64 (exp.f64 x))
(exp.f64 x)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
Outputs
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.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 (exp.f64 1)))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(+.f64 0 (exp.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (exp.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 x)))))
(-.f64 (+.f64 (exp.f64 x) 1) 1)
(*.f64 (exp.f64 x) 1)
(*.f64 (exp.f64 x) (log.f64 (exp.f64 1)))
(*.f64 1 (exp.f64 x))
(*.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) 2))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (exp.f64 1) (*.f64 2 (*.f64 1/3 x))) (pow.f64 (exp.f64 1) (*.f64 1/3 x)))
(*.f64 (pow.f64 (exp.f64 1) (*.f64 1/2 x)) (pow.f64 (exp.f64 1) (*.f64 1/2 x)))
(*.f64 (pow.f64 1 1/3) (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (cbrt.f64 (exp.f64 x)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) 3))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) 3/2) 1/3) (pow.f64 (pow.f64 (exp.f64 x) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 x) (cbrt.f64 (exp.f64 x))) 2) 1/3) (pow.f64 (cbrt.f64 (exp.f64 x)) 1/3))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) 5/2) 1/3) (pow.f64 (sqrt.f64 (exp.f64 x)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x))) 2))
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 x))) (pow.f64 (exp.f64 1) 1))
(pow.f64 (exp.f64 x) 1)
(pow.f64 (cbrt.f64 (exp.f64 x)) 3)
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (exp.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 x)) 2)
(pow.f64 (exp.f64 1) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) 1))
(pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) 1))
(pow.f64 (pow.f64 (exp.f64 1) 1) x)
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 1) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 x) 2))
(log.f64 (exp.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 x))))
(cbrt.f64 (pow.f64 (exp.f64 x) 3))
(expm1.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (exp.f64 x)))
(fma.f64 1 (+.f64 (exp.f64 x) 1) -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (+.f64 (exp.f64 x) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (sqrt.f64 (+.f64 (exp.f64 x) 1)) -1)
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 -1 (*.f64 x y) (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))
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(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
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(sqrt.f64 (pow.f64 (exp.f64 x) 2))
(log.f64 (exp.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 x))))
(cbrt.f64 (pow.f64 (exp.f64 x) 3))
(expm1.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (exp.f64 x)))
(fma.f64 1 (+.f64 (exp.f64 x) 1) -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (+.f64 (exp.f64 x) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (sqrt.f64 (+.f64 (exp.f64 x) 1)) -1)

simplify187.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
706×exp-prod
672×log-prod
646×associate-*r*
644×associate-*l*
610×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063414284
1153513192
2484513164
Stop Event
1×node limit
Counts
403 → 317
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)))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.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 (exp.f64 1)))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(+.f64 0 (exp.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (exp.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 x)))))
(-.f64 (+.f64 (exp.f64 x) 1) 1)
(*.f64 (exp.f64 x) 1)
(*.f64 (exp.f64 x) (log.f64 (exp.f64 1)))
(*.f64 1 (exp.f64 x))
(*.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) 2))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (exp.f64 1) (*.f64 2 (*.f64 1/3 x))) (pow.f64 (exp.f64 1) (*.f64 1/3 x)))
(*.f64 (pow.f64 (exp.f64 1) (*.f64 1/2 x)) (pow.f64 (exp.f64 1) (*.f64 1/2 x)))
(*.f64 (pow.f64 1 1/3) (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (cbrt.f64 (exp.f64 x)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) 3))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) 3/2) 1/3) (pow.f64 (pow.f64 (exp.f64 x) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 x) (cbrt.f64 (exp.f64 x))) 2) 1/3) (pow.f64 (cbrt.f64 (exp.f64 x)) 1/3))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) 5/2) 1/3) (pow.f64 (sqrt.f64 (exp.f64 x)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x))) 2))
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 x))) (pow.f64 (exp.f64 1) 1))
(pow.f64 (exp.f64 x) 1)
(pow.f64 (cbrt.f64 (exp.f64 x)) 3)
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (exp.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 x)) 2)
(pow.f64 (exp.f64 1) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) 1))
(pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) 1))
(pow.f64 (pow.f64 (exp.f64 1) 1) x)
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 1) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 x) 2))
(log.f64 (exp.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 x))))
(cbrt.f64 (pow.f64 (exp.f64 x) 3))
(expm1.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (exp.f64 x)))
(fma.f64 1 (+.f64 (exp.f64 x) 1) -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (+.f64 (exp.f64 x) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (sqrt.f64 (+.f64 (exp.f64 x) 1)) -1)
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 -1 (*.f64 x y) (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2))))
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(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 1) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 x) 2))
(log.f64 (exp.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 x))))
(cbrt.f64 (pow.f64 (exp.f64 x) 3))
(expm1.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (exp.f64 x)))
(fma.f64 1 (+.f64 (exp.f64 x) 1) -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (+.f64 (exp.f64 x) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (sqrt.f64 (+.f64 (exp.f64 x) 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 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) (fma.f64 1/2 x (log.f64 2)))
(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))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (+.f64 x 1) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (fma.f64 1/2 (pow.f64 x 2) x))
(+.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 x 1) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 1 (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/6 (pow.f64 x 3)))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) (fma.f64 1/2 x (log.f64 2)))
(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))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (+.f64 x 1) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (fma.f64 1/2 (pow.f64 x 2) x))
(+.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 x 1) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 1 (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(log1p.f64 (exp.f64 x))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (exp.f64 1)))
(log1p.f64 (exp.f64 x))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)))
(*.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 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(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 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(log1p.f64 (exp.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(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 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1) 1))
(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 (log.f64 (log1p.f64 (exp.f64 x))) 3) 1/3))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))
(+.f64 0 (exp.f64 x))
(exp.f64 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (exp.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 x)))))
(-.f64 (+.f64 (exp.f64 x) 1) 1)
(exp.f64 x)
(*.f64 (exp.f64 x) 1)
(exp.f64 x)
(*.f64 (exp.f64 x) (log.f64 (exp.f64 1)))
(exp.f64 x)
(*.f64 1 (exp.f64 x))
(exp.f64 x)
(*.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(exp.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)))
(exp.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) 2))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(exp.f64 x)
(*.f64 (pow.f64 (exp.f64 1) (*.f64 2 (*.f64 1/3 x))) (pow.f64 (exp.f64 1) (*.f64 1/3 x)))
(*.f64 (pow.f64 (E.f64) (*.f64 2/3 x)) (pow.f64 (E.f64) (*.f64 x 1/3)))
(*.f64 (pow.f64 (E.f64) (*.f64 x 2/3)) (pow.f64 (E.f64) (*.f64 x 1/3)))
(*.f64 (pow.f64 (exp.f64 1) (*.f64 1/2 x)) (pow.f64 (exp.f64 1) (*.f64 1/2 x)))
(exp.f64 x)
(*.f64 (pow.f64 1 1/3) (exp.f64 x))
(exp.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 3))
(exp.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) 3))
(exp.f64 x)
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (cbrt.f64 (exp.f64 x)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 3))
(exp.f64 x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) 3))
(exp.f64 x)
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) 3/2) 1/3) (pow.f64 (pow.f64 (exp.f64 x) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 3/2)) (cbrt.f64 (pow.f64 (exp.f64 x) 3/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 3/2)) (cbrt.f64 (pow.f64 (exp.f64 x) 3/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 x) (cbrt.f64 (exp.f64 x))) 2) 1/3) (pow.f64 (cbrt.f64 (exp.f64 x)) 1/3))
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(*.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 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(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 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(log1p.f64 (exp.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(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 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1) 1))
(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 (log.f64 (log1p.f64 (exp.f64 x))) 3) 1/3))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))
(+.f64 0 (exp.f64 x))
(exp.f64 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (exp.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 x)))))
(-.f64 (+.f64 (exp.f64 x) 1) 1)
(exp.f64 x)
(*.f64 (exp.f64 x) 1)
(exp.f64 x)
(*.f64 (exp.f64 x) (log.f64 (exp.f64 1)))
(exp.f64 x)
(*.f64 1 (exp.f64 x))
(exp.f64 x)
(*.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(exp.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)))
(exp.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) 2))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(exp.f64 x)
(*.f64 (pow.f64 (exp.f64 1) (*.f64 2 (*.f64 1/3 x))) (pow.f64 (exp.f64 1) (*.f64 1/3 x)))
(*.f64 (pow.f64 (E.f64) (*.f64 2/3 x)) (pow.f64 (E.f64) (*.f64 x 1/3)))
(*.f64 (pow.f64 (E.f64) (*.f64 x 2/3)) (pow.f64 (E.f64) (*.f64 x 1/3)))
(*.f64 (pow.f64 (exp.f64 1) (*.f64 1/2 x)) (pow.f64 (exp.f64 1) (*.f64 1/2 x)))
(exp.f64 x)
(*.f64 (pow.f64 1 1/3) (exp.f64 x))
(exp.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 3))
(exp.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) 3))
(exp.f64 x)
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (cbrt.f64 (exp.f64 x)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 3))
(exp.f64 x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) 3))
(exp.f64 x)
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) 3/2) 1/3) (pow.f64 (pow.f64 (exp.f64 x) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 3/2)) (cbrt.f64 (pow.f64 (exp.f64 x) 3/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 3)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 3/2)) (cbrt.f64 (pow.f64 (exp.f64 x) 3/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 x) (cbrt.f64 (exp.f64 x))) 2) 1/3) (pow.f64 (cbrt.f64 (exp.f64 x)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (cbrt.f64 (exp.f64 x))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 4) 2)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) 5/2) 1/3) (pow.f64 (sqrt.f64 (exp.f64 x)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 x) 5/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 x))) 2))
(exp.f64 x)
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x))) 2))
(exp.f64 x)
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 x))) (pow.f64 (exp.f64 1) 1))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 x))) (E.f64))
(pow.f64 (exp.f64 x) 1)
(exp.f64 x)
(pow.f64 (cbrt.f64 (exp.f64 x)) 3)
(exp.f64 x)
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/2)
(exp.f64 x)
(pow.f64 (pow.f64 (exp.f64 x) 3) 1/3)
(exp.f64 x)
(pow.f64 (sqrt.f64 (exp.f64 x)) 2)
(exp.f64 x)
(pow.f64 (exp.f64 1) x)
(exp.f64 x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 x))
(exp.f64 x)
(pow.f64 (exp.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) 1))
(exp.f64 x)
(pow.f64 (pow.f64 (exp.f64 1) 1) x)
(exp.f64 x)
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 x)) (sqrt.f64 x))
(exp.f64 x)
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (exp.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 1) (sqrt.f64 x))
(exp.f64 x)
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (fabs.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 x) 2))
(exp.f64 x)
(log.f64 (exp.f64 (exp.f64 x)))
(exp.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 x))))
(exp.f64 x)
(cbrt.f64 (pow.f64 (exp.f64 x) 3))
(exp.f64 x)
(expm1.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 x)
(log1p.f64 (expm1.f64 (exp.f64 x)))
(exp.f64 x)
(fma.f64 1 (+.f64 (exp.f64 x) 1) -1)
(exp.f64 x)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1))) (cbrt.f64 (+.f64 (exp.f64 x) 1)) -1)
(exp.f64 x)
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (sqrt.f64 (+.f64 (exp.f64 x) 1)) -1)
(exp.f64 x)

eval109.0ms (1.4%)

Compiler

Compiled 7961 to 2926 computations (63.2% saved)

prune74.0ms (1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New4496455
Fresh000
Picked022
Done000
Total4498457
Accuracy
100.0%
Counts
457 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
▶85.5%
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
▶98.9%
(-.f64 (log1p.f64 (-.f64 (+.f64 (exp.f64 x) 1) 1)) (*.f64 x y))
✓99.2%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶92.0%
(-.f64 (log1p.f64 1) (*.f64 x y))
80.4%
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
▶85.5%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶50.5%
(*.f64 (neg.f64 x) y)
✓99.2%
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
▶85.5%
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
▶98.9%
(-.f64 (log1p.f64 (-.f64 (+.f64 (exp.f64 x) 1) 1)) (*.f64 x y))
✓99.2%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶92.0%
(-.f64 (log1p.f64 1) (*.f64 x y))
80.4%
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
▶85.5%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶50.5%
(*.f64 (neg.f64 x) y)
Compiler

Compiled 296 to 224 computations (24.3% saved)

localize337.0ms (4.4%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
✓100.0%
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
✓100.0%
(+.f64 (log.f64 2) (*.f64 1/2 x))
✓100.0%
(*.f64 x (-.f64 1/2 y))
100.0%
(exp.f64 x)
✓100.0%
(+.f64 (exp.f64 x) 1)
✓99.6%
(-.f64 (+.f64 (exp.f64 x) 1) 1)
✓99.2%
(log1p.f64 (-.f64 (+.f64 (exp.f64 x) 1) 1))
Compiler

Compiled 111 to 63 computations (43.2% saved)

series7.0ms (0.1%)

Counts
6 → 75
Calls

24 calls:

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

rewrite113.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
1071×log1p-expm1-u
524×expm1-udef
522×log1p-udef
487×expm1-log1p-u
232×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022123
132998
2483998
Stop Event
1×node limit
Counts
6 → 223
Calls
Call 1
Inputs
(log1p.f64 (-.f64 (+.f64 (exp.f64 x) 1) 1))
(-.f64 (+.f64 (exp.f64 x) 1) 1)
(+.f64 (exp.f64 x) 1)
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
Outputs
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (log.f64 (expm1.f64 x)))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(+.f64 (exp.f64 x) 0)
(+.f64 1 (expm1.f64 x))
(+.f64 (+.f64 (exp.f64 x) 1) -1)
(+.f64 0 (exp.f64 x))
(+.f64 -1 (+.f64 (exp.f64 x) 1))
(*.f64 (exp.f64 x) 1)
(*.f64 1 (exp.f64 x))
(*.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (*.f64 (cbrt.f64 (exp.f64 x)) 1))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) (+.f64 (exp.f64 x) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) -1) (/.f64 1 (+.f64 (exp.f64 x) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1) (-.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) (+.f64 (exp.f64 x) 2)) (+.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 2) (+.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) (+.f64 (exp.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) (-.f64 1 (*.f64 (+.f64 (exp.f64 x) 1) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) -1) (+.f64 (exp.f64 x) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) -1) (-.f64 (+.f64 (exp.f64 x) 1) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) (+.f64 (exp.f64 x) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) -1)) (neg.f64 (+.f64 (exp.f64 x) 2)))
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(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))

simplify114.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
736×log-prod
638×fma-def
566×div-sub
440×sqr-pow
430×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05057970
111987664
247247513
Stop Event
1×node limit
Counts
298 → 300
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)))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 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))
(log.f64 2)
(*.f64 1/2 x)
(*.f64 1/2 x)
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 -1 y))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 -1 y))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 -1 y))))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (log.f64 (expm1.f64 x)))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(+.f64 (exp.f64 x) 0)
(+.f64 1 (expm1.f64 x))
(+.f64 (+.f64 (exp.f64 x) 1) -1)
(+.f64 0 (exp.f64 x))
(+.f64 -1 (+.f64 (exp.f64 x) 1))
(*.f64 (exp.f64 x) 1)
(*.f64 1 (exp.f64 x))
(*.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (*.f64 (cbrt.f64 (exp.f64 x)) 1))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) (+.f64 (exp.f64 x) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) -1) (/.f64 1 (+.f64 (exp.f64 x) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1) (-.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) (+.f64 (exp.f64 x) 2)) (+.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 2) (+.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) (+.f64 (exp.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) (-.f64 1 (*.f64 (+.f64 (exp.f64 x) 1) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) -1) (+.f64 (exp.f64 x) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) -1) (-.f64 (+.f64 (exp.f64 x) 1) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) (+.f64 (exp.f64 x) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) -1)) (neg.f64 (+.f64 (exp.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) 0) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 0 (*.f64 (exp.f64 x) 0))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 0) (-.f64 (exp.f64 x) 0))
(pow.f64 (exp.f64 x) 1)
(pow.f64 (cbrt.f64 (exp.f64 x)) 3)
(pow.f64 (pow.f64 (exp.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 x)) 2)
(pow.f64 (exp.f64 1) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (exp.f64 x) 2))
(log.f64 (exp.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 x))))
(cbrt.f64 (pow.f64 (exp.f64 x) 3))
(expm1.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 x)
(log1p.f64 (expm1.f64 (exp.f64 x)))
(fma.f64 1 (exp.f64 x) 0)
(fma.f64 1 (+.f64 (exp.f64 x) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 x) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 0)
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (sqrt.f64 (+.f64 (exp.f64 x) 1)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 0)
(-.f64 (+.f64 (exp.f64 x) 2) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(*.f64 1 (+.f64 (exp.f64 x) 1))
(*.f64 (+.f64 (exp.f64 x) 1) 1)
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 1))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (sqrt.f64 (+.f64 (exp.f64 x) 1)))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) (*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 1 (expm1.f64 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 1 (/.f64 (expm1.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (expm1.f64 x))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (neg.f64 (expm1.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) 1) (expm1.f64 x))
(pow.f64 (+.f64 (exp.f64 x) 1) 1)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 2)
(pow.f64 (exp.f64 1) (log1p.f64 (exp.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 x) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 x) 1))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3))
(expm1.f64 (log.f64 (+.f64 (exp.f64 x) 2)))
(exp.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) 1)))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(+.f64 (*.f64 x 1/2) (*.f64 y (neg.f64 x)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(-.f64 (*.f64 x 1/2) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (*.f64 x y) 3)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x 1/2) (*.f64 x y)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (*.f64 x y) 2)) (+.f64 (*.f64 x 1/2) (*.f64 x y)))
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.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 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(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)))))
(log.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) 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))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(fma.f64 x 1/2 (*.f64 y (neg.f64 x)))
(fma.f64 1 (*.f64 x 1/2) (*.f64 y (neg.f64 x)))
(fma.f64 1/2 x (*.f64 y (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 y (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (*.f64 -1/2 x))) (/.f64 (*.f64 (pow.f64 x 2) 1/4) (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(*.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(*.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 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2)))) (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (*.f64 x 1/2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4)) (+.f64 (log.f64 2) (*.f64 -1/2 x)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 2) 1/4))) (neg.f64 (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x 1/2) (log.f64 2)))
(pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(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)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))
(log.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(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))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x 1/2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 x 1/2) (+.f64 (log.f64 2) (*.f64 y (neg.f64 x))))
(+.f64 (*.f64 x 1/2) (-.f64 (log.f64 2) (*.f64 x y)))
(+.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 y (neg.f64 x)))
(+.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 (*.f64 y (neg.f64 x)) 1))
(+.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(+.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (*.f64 y (neg.f64 x)) (fma.f64 x 1/2 (log.f64 2)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(*.f64 1 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(*.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) 1)
(*.f64 (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) 2) (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(*.f64 (sqrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) (sqrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 x y))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 x y)))) (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 x y)) (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) (pow.f64 (*.f64 y (neg.f64 x)) 3)) (+.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 y (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 y (neg.f64 x))))
(pow.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) 1)
(pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) 3)
(pow.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(exp.f64 (log.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 1 (fma.f64 x 1/2 (log.f64 2)) (*.f64 y (neg.f64 x)))
(fma.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 y (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 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))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (+.f64 x 1) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (fma.f64 1/2 (pow.f64 x 2) x))
(+.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 x 1) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 1 (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 x (+.f64 (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/6 (pow.f64 x 3))) 1))
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (+.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 2 (fma.f64 1/2 (pow.f64 x 2) x))
(+.f64 2 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 2 x) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 x (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (fma.f64 1/2 (pow.f64 x 2) x) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 2 (expm1.f64 x))
(*.f64 1/2 x)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(*.f64 1/2 x)
(*.f64 1/2 x)
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 -1 y))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 -1 y))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (*.f64 -1 y))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(log1p.f64 (exp.f64 x))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (log.f64 (expm1.f64 x)))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2))) (log.f64 (expm1.f64 x)))
(-.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log.f64 (expm1.f64 x)))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(log1p.f64 (exp.f64 x))
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(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 x y)))) (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (fma.f64 1/2 x (log.f64 2))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y)))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(/.f64 1 (/.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 x y)) (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 1 (/.f64 (+.f64 (*.f64 x y) (fma.f64 1/2 x (log.f64 2))) (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 x y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (fma.f64 1/2 x (log.f64 2))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y)))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 x y)))
(/.f64 1 (/.f64 (+.f64 (*.f64 x y) (fma.f64 1/2 x (log.f64 2))) (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 x y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (fma.f64 1/2 x (log.f64 2))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y)))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (*.f64 x y) (fma.f64 1/2 x (log.f64 2))) (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (-.f64 (+.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (*.f64 (*.f64 (log.f64 2) x) (-.f64 1/2 y))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) (pow.f64 (*.f64 y (neg.f64 x)) 3)) (+.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 y (neg.f64 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (*.f64 x y) (fma.f64 1/2 x (log.f64 2))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y)))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 y (neg.f64 x))))
(/.f64 1 (/.f64 (+.f64 (*.f64 x y) (fma.f64 1/2 x (log.f64 2))) (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 y))))
(pow.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) 1)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) 3)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) 3) 1/3)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (sqrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) 2)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(sqrt.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) 3))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (log.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) 1))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log1p.f64 (expm1.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (fma.f64 x 1/2 (log.f64 2)) (*.f64 y (neg.f64 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.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 y (neg.f64 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (*.f64 y (neg.f64 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))

eval141.0ms (1.9%)

Compiler

Compiled 6357 to 3995 computations (37.2% saved)

prune71.0ms (0.9%)

Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New3773380
Fresh011
Picked145
Done022
Total37810388
Accuracy
100.0%
Counts
388 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
✓85.5%
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
▶98.9%
(-.f64 (log1p.f64 (+.f64 1 (expm1.f64 x))) (*.f64 x y))
✓99.2%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓92.0%
(-.f64 (log1p.f64 1) (*.f64 x y))
▶80.4%
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
✓85.5%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶50.8%
(+.f64 (log.f64 2) (*.f64 1/2 x))
✓50.5%
(*.f64 (neg.f64 x) y)
▶37.9%
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
✓99.2%
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
✓85.5%
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
▶98.9%
(-.f64 (log1p.f64 (+.f64 1 (expm1.f64 x))) (*.f64 x y))
✓99.2%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓92.0%
(-.f64 (log1p.f64 1) (*.f64 x y))
▶80.4%
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
✓85.5%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶50.8%
(+.f64 (log.f64 2) (*.f64 1/2 x))
✓50.5%
(*.f64 (neg.f64 x) y)
▶37.9%
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
Compiler

Compiled 196 to 148 computations (24.5% saved)

localize343.0ms (4.5%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
✓100.0%
(-.f64 (log1p.f64 (+.f64 1 (expm1.f64 x))) (*.f64 x y))
✓100.0%
(expm1.f64 x)
✓99.6%
(+.f64 1 (expm1.f64 x))
✓99.2%
(log1p.f64 (+.f64 1 (expm1.f64 x)))
100.0%
(*.f64 x (-.f64 1/2 y))
✓97.3%
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
100.0%
(+.f64 (log.f64 2) (*.f64 1/2 x))
✓100.0%
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
Compiler

Compiled 110 to 74 computations (32.7% saved)

series19.0ms (0.2%)

Counts
6 → 87
Calls

27 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
(log1p.f64 (+.f64 1 (expm1.f64 x)))
6.0ms
x
@inf
(log1p.f64 (+.f64 1 (expm1.f64 x)))
1.0ms
y
@0
(-.f64 (log1p.f64 (+.f64 1 (expm1.f64 x))) (*.f64 x y))
1.0ms
x
@0
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
0.0ms
x
@inf
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))

rewrite115.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
989×log1p-expm1-u
492×expm1-udef
492×log1p-udef
444×expm1-log1p-u
274×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026131
1379113
25177113
Stop Event
1×node limit
Counts
6 → 171
Calls
Call 1
Inputs
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))
(log1p.f64 (+.f64 1 (expm1.f64 x)))
(+.f64 1 (expm1.f64 x))
(expm1.f64 x)
(-.f64 (log1p.f64 (+.f64 1 (expm1.f64 x))) (*.f64 x y))
Outputs
(+.f64 (*.f64 x y) (*.f64 x 1/2))
(+.f64 (*.f64 x 1/2) (*.f64 x y))
(+.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x 1/2) (*.f64 x y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (pow.f64 (*.f64 x y) 2)) (-.f64 (*.f64 x 1/2) (*.f64 x y)))
(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(/.f64 (*.f64 x (+.f64 1/4 (pow.f64 y 2))) (+.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 (+.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(pow.f64 (*.f64 x (+.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (+.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 1/2 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1/2 y))))
(fma.f64 x 1/2 (*.f64 x y))
(fma.f64 1/2 x (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (+.f64 1/2 y))))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/64) (-.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (+.f64 1/2 y)))) (/.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2) (-.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (+.f64 1/2 y)))))
(*.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (+.f64 1/2 y))) 1)
(*.f64 1 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (+.f64 1/2 y))))
(*.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (+.f64 1/2 y)))) (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (+.f64 1/2 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (+.f64 1/2 y)))) 2) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (+.f64 1/2 y)))))
(*.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (+.f64 1/2 y)))) (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (+.f64 1/2 y)))))
(*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 2) 3) 1/512) (pow.f64 (*.f64 x (+.f64 1/2 y)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 x (+.f64 1/2 y)) (-.f64 (*.f64 x (+.f64 1/2 y)) (*.f64 1/8 (pow.f64 x 2)))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (*.f64 x (+.f64 1/2 y)) 2)) (/.f64 1 (-.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (+.f64 1/2 y)))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 x (+.f64 1/2 y)) (-.f64 (*.f64 x (+.f64 1/2 y)) (*.f64 1/8 (pow.f64 x 2))))) (+.f64 (*.f64 (pow.f64 (pow.f64 x 2) 3) 1/512) (pow.f64 (*.f64 x (+.f64 1/2 y)) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (+.f64 1/2 y))) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (*.f64 x (+.f64 1/2 y)) 2))))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 2) 3) 1/512) (pow.f64 (*.f64 x (+.f64 1/2 y)) 3)) (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 x (+.f64 1/2 y)) (-.f64 (*.f64 x (+.f64 1/2 y)) (*.f64 1/8 (pow.f64 x 2))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 2) 3) 1/512) (pow.f64 (*.f64 x (+.f64 1/2 y)) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 1/8 (*.f64 (pow.f64 x 2) (*.f64 x (+.f64 1/2 y)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (*.f64 x (+.f64 1/2 y)) 2)) (-.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (+.f64 1/2 y))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 2) 3) 1/512) (pow.f64 (*.f64 x (+.f64 1/2 y)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 x (+.f64 1/2 y)) (-.f64 (*.f64 x (+.f64 1/2 y)) (*.f64 1/8 (pow.f64 x 2)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (*.f64 x (+.f64 1/2 y)) 2))) (neg.f64 (-.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (+.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2) (*.f64 (pow.f64 x 4) 1/64)) (-.f64 (*.f64 x (+.f64 1/2 y)) (*.f64 1/8 (pow.f64 x 2))))
(pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (+.f64 1/2 y))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (+.f64 1/2 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (+.f64 1/2 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (+.f64 1/2 y)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (+.f64 1/2 y))) 2))
(log.f64 (exp.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (+.f64 1/2 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (+.f64 1/2 y))))))
(cbrt.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (+.f64 1/2 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (+.f64 1/2 y)))))
(exp.f64 (log.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (+.f64 1/2 y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (+.f64 1/2 y)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (+.f64 1/2 y)))))
(fma.f64 x (+.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (+.f64 1/2 y) x (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 x (+.f64 1/2 y)))
(fma.f64 (pow.f64 x 2) 1/8 (*.f64 x (+.f64 1/2 y)))
(fma.f64 1 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (+.f64 1/2 y)))
(fma.f64 1 (*.f64 x (+.f64 1/2 y)) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/64)) (cbrt.f64 (*.f64 1/8 (pow.f64 x 2))) (*.f64 x (+.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (+.f64 1/2 y))) (*.f64 1/8 (pow.f64 x 2)))
(fma.f64 (*.f64 x (sqrt.f64 1/8)) (*.f64 x (sqrt.f64 1/8)) (*.f64 x (+.f64 1/2 y)))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) (sqrt.f64 (*.f64 x (+.f64 1/2 y))) (*.f64 1/8 (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 2 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(-.f64 (exp.f64 x) 0)
(-.f64 (+.f64 2 (expm1.f64 x)) 1)
(-.f64 (/.f64 1 (-.f64 1 (expm1.f64 x))) (/.f64 (pow.f64 (expm1.f64 x) 2) (-.f64 1 (expm1.f64 x))))
(*.f64 1 (exp.f64 x))
(*.f64 (exp.f64 x) 1)
(*.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (+.f64 1 (pow.f64 (expm1.f64 x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 x) 2) (expm1.f64 x)))))
(*.f64 (-.f64 1 (pow.f64 (expm1.f64 x) 2)) (/.f64 1 (-.f64 1 (expm1.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 x) 2) (expm1.f64 x))) (+.f64 1 (pow.f64 (expm1.f64 x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (expm1.f64 x)) (-.f64 1 (pow.f64 (expm1.f64 x) 2))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (expm1.f64 x) 2) (expm1.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 x) 3)) (+.f64 (pow.f64 (expm1.f64 x) 2) (-.f64 1 (expm1.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 x) 2)) (-.f64 1 (expm1.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (expm1.f64 x) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 x) 2) (expm1.f64 x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (expm1.f64 x) 2))) (neg.f64 (-.f64 1 (expm1.f64 x))))
(/.f64 (-.f64 (pow.f64 (expm1.f64 x) 2) 1) (-.f64 (expm1.f64 x) 1))
(pow.f64 (exp.f64 x) 1)
(pow.f64 (cbrt.f64 (exp.f64 x)) 3)
(pow.f64 (pow.f64 (exp.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 x)) 2)
(pow.f64 (exp.f64 1) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 (exp.f64 x) 2))
(log.f64 (exp.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 x))))
(cbrt.f64 (pow.f64 (exp.f64 x) 3))
(expm1.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 x)
(log1p.f64 (expm1.f64 (exp.f64 x)))
(fma.f64 1 (expm1.f64 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)) 1)
(fma.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)) 1)
(+.f64 (exp.f64 x) -1)
(-.f64 (exp.f64 x) 1)
(*.f64 1 (expm1.f64 x))
(*.f64 (expm1.f64 x) 1)
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 2 (expm1.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (+.f64 2 (expm1.f64 x)))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(log.f64 (exp.f64 (expm1.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) 1))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 y x (*.f64 x y)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x y) 1 (*.f64 x y)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))
(*.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(*.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(*.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2)) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x y))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x y))

simplify104.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1274×fma-neg
934×distribute-lft-neg-in
706×fma-def
656×log-prod
426×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04037745
19787401
241227316
Stop Event
1×node limit
Counts
258 → 260
Calls
Call 1
Inputs
(*.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 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1 (*.f64 x y)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1 (*.f64 x y)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1 (*.f64 x y)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1 (*.f64 x y)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(*.f64 -1 (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1 (*.f64 x y)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1 (*.f64 x y)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.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)))
1
(+.f64 1 x)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(*.f64 -1 (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(*.f64 -1 (*.f64 x y))
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(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x y))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x y))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 -1 (*.f64 x y)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(fma.f64 -1 (*.f64 x y) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 -1 (*.f64 x y)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(fma.f64 -1 (*.f64 x y) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 -1 (*.f64 x y)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(fma.f64 -1 (*.f64 x y) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(fma.f64 -1 (*.f64 x y) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 -1 (*.f64 x y)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(fma.f64 -1 (*.f64 x y) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 -1 (*.f64 x y)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(fma.f64 -1 (*.f64 x y) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 x y)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(fma.f64 -1 (*.f64 x y) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 -1 (*.f64 x y)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(fma.f64 -1 (*.f64 x y) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (*.f64 -1 (*.f64 x y)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(fma.f64 -1 (*.f64 x y) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 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 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)) (log.f64 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (fma.f64 1/2 x (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))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 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))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (+.f64 x 1) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (fma.f64 1/2 (pow.f64 x 2) x))
(+.f64 1 (+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 x 1) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 1 (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/6 (pow.f64 x 3)))))
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
(exp.f64 x)
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) x)
(+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (fma.f64 1/2 (pow.f64 x 2) x) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 x (fma.f64 1/24 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 x (fma.f64 (pow.f64 x 4) 1/24 (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/6 (pow.f64 x 3)))))
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (*.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (*.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (*.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (*.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (*.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (*.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (*.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (*.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (*.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (*.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (*.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (*.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (*.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (*.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 x y)))
(+.f64 (*.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (*.f64 x y) (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(+.f64 (*.f64 x 1/2) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y)))) 1)
(*.f64 x (+.f64 1/2 y))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x 1/2) (*.f64 x y)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (*.f64 x y) 3)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x y) (*.f64 1/2 x)))))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 (pow.f64 x 2) 1/4 (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 1/2 x)))))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 (pow.f64 x 2) 1/4 (*.f64 (*.f64 x y) (fma.f64 x y (*.f64 x -1/2)))))
(/.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (pow.f64 (*.f64 x y) 2)) (-.f64 (*.f64 x 1/2) (*.f64 x y)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (*.f64 x y) 2)) (*.f64 x (-.f64 1/2 y)))
(/.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 x (fma.f64 y (+.f64 1/2 y) 1/4)) (+.f64 1/8 (pow.f64 y 3)))
(/.f64 x (/.f64 (fma.f64 y (+.f64 1/2 y) 1/4) (+.f64 1/8 (pow.f64 y 3))))
(/.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 x (+.f64 1/2 y)) (fma.f64 y y 1/4))
(/.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 x (fma.f64 y (+.f64 1/2 y) 1/4)) (+.f64 1/8 (pow.f64 y 3)))
(/.f64 x (/.f64 (fma.f64 y (+.f64 1/2 y) 1/4) (+.f64 1/8 (pow.f64 y 3))))
(/.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 x (+.f64 1/2 y)) (fma.f64 y y 1/4))
(pow.f64 (*.f64 x (+.f64 1/2 y)) 1)
(*.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))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) 2)
(*.f64 x (+.f64 1/2 y))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2))
(*.f64 x (+.f64 1/2 y))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))
(*.f64 x (+.f64 1/2 y))
(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))
(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))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1/2 y))))
(*.f64 x (+.f64 1/2 y))
(fma.f64 x 1/2 (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(fma.f64 1/2 x (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (+.f64 1/2 y))))) 1)
(fma.f64 1/8 (pow.f64 x 2) (*.f64 x (+.f64 1/2 y)))
(fma.f64 x (+.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/64) (-.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (+.f64 1/2 y)))) (/.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2) (-.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (+.f64 1/2 y)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (*.f64 x (+.f64 1/2 y)) 2)) (-.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (+.f64 1/2 y))))
(/.f64 (fma.f64 (pow.f64 x 4) -1/64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2)) (fma.f64 x (+.f64 1/2 y) (*.f64 (pow.f64 x 2) -1/8)))
(*.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (+.f64 1/2 y))) 1)
(fma.f64 1/8 (pow.f64 x 2) (*.f64 x (+.f64 1/2 y)))
(fma.f64 x (+.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
(*.f64 1 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (+.f64 1/2 y))))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 x (+.f64 1/2 y)))
(fma.f64 x (+.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2)))
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(/.f64 1 (/.f64 (-.f64 1 (expm1.f64 x)) (-.f64 1 (pow.f64 (expm1.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 x) 2)) (-.f64 1 (expm1.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 x) 2)) (-.f64 2 (exp.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (expm1.f64 x) 2) (expm1.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 x) 2) (expm1.f64 x))) (+.f64 1 (pow.f64 (expm1.f64 x) 3))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 x) 3)) (-.f64 1 (-.f64 (expm1.f64 x) (pow.f64 (expm1.f64 x) 2))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 x) 3)) (+.f64 (pow.f64 (expm1.f64 x) 2) (-.f64 1 (expm1.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 x) 2) (expm1.f64 x))) (+.f64 1 (pow.f64 (expm1.f64 x) 3))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (expm1.f64 x) 2) (expm1.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 x) 3)) (-.f64 1 (-.f64 (expm1.f64 x) (pow.f64 (expm1.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 x) 2)) (-.f64 1 (expm1.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 x) 2)) (-.f64 2 (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (expm1.f64 x) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 x) 2) (expm1.f64 x)))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 x) 2) (expm1.f64 x))) (+.f64 1 (pow.f64 (expm1.f64 x) 3))))
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(/.f64 (-.f64 1 (pow.f64 (expm1.f64 x) 2)) (-.f64 1 (expm1.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 x) 2)) (-.f64 2 (exp.f64 x)))
(/.f64 (-.f64 (pow.f64 (expm1.f64 x) 2) 1) (-.f64 (expm1.f64 x) 1))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 x) 2)) (-.f64 1 (expm1.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 x) 2)) (-.f64 2 (exp.f64 x)))
(pow.f64 (exp.f64 x) 1)
(exp.f64 x)
(pow.f64 (cbrt.f64 (exp.f64 x)) 3)
(exp.f64 x)
(pow.f64 (pow.f64 (exp.f64 x) 3) 1/3)
(exp.f64 x)
(pow.f64 (sqrt.f64 (exp.f64 x)) 2)
(exp.f64 x)
(pow.f64 (exp.f64 1) x)
(exp.f64 x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 x)) (sqrt.f64 x))
(exp.f64 x)
(sqrt.f64 (pow.f64 (exp.f64 x) 2))
(exp.f64 x)
(log.f64 (exp.f64 (exp.f64 x)))
(exp.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 x))))
(exp.f64 x)
(cbrt.f64 (pow.f64 (exp.f64 x) 3))
(exp.f64 x)
(expm1.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 x)
(exp.f64 x)
(log1p.f64 (expm1.f64 (exp.f64 x)))
(exp.f64 x)
(fma.f64 1 (expm1.f64 x) 1)
(exp.f64 x)
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)) 1)
(exp.f64 x)
(fma.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)) 1)
(exp.f64 x)
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(*.f64 1 (expm1.f64 x))
(expm1.f64 x)
(*.f64 (expm1.f64 x) 1)
(expm1.f64 x)
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(expm1.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 2 (expm1.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (+.f64 2 (expm1.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 2 (+.f64 (expm1.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 2 (expm1.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (+.f64 2 (expm1.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 2 (expm1.f64 x)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 2 (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 2 (expm1.f64 x)))
(pow.f64 (expm1.f64 x) 1)
(expm1.f64 x)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(expm1.f64 x)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(expm1.f64 x)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(expm1.f64 x)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(expm1.f64 x)
(log.f64 (exp.f64 (expm1.f64 x)))
(expm1.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 x))))
(expm1.f64 x)
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(exp.f64 (log.f64 (expm1.f64 x)))
(expm1.f64 x)
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) 1))
(expm1.f64 x)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(expm1.f64 x)
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 y x (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 y x (*.f64 x y)))
(+.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (*.f64 2 (*.f64 x y))))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x y) 1 (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 y x (*.f64 x y)))
(+.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (*.f64 2 (*.f64 x y))))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(*.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(*.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(*.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(+.f64 (*.f64 (neg.f64 x) y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (neg.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2)) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 (log1p.f64 (exp.f64 x)) x) y))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))
(pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))

eval172.0ms (2.3%)

Compiler

Compiled 5704 to 3665 computations (35.7% saved)

prune69.0ms (0.9%)

Pruning

14 alts after pruning (6 fresh and 8 done)

PrunedKeptTotal
New3446350
Fresh000
Picked224
Done066
Total34614360
Accuracy
100.0%
Counts
360 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
✓85.5%
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
✓98.9%
(-.f64 (log1p.f64 (+.f64 1 (expm1.f64 x))) (*.f64 x y))
✓99.2%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓92.0%
(-.f64 (log1p.f64 1) (*.f64 x y))
▶2.7%
(+.f64 (*.f64 x y) (*.f64 x 1/2))
37.9%
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
▶55.6%
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
✓85.5%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓50.8%
(+.f64 (log.f64 2) (*.f64 1/2 x))
✓50.5%
(*.f64 (neg.f64 x) y)
▶37.9%
(*.f64 x (-.f64 1/2 y))
▶2.7%
(*.f64 x (+.f64 1/2 y))
▶3.7%
(*.f64 1/2 x)
✓99.2%
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
✓85.5%
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
✓98.9%
(-.f64 (log1p.f64 (+.f64 1 (expm1.f64 x))) (*.f64 x y))
✓99.2%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓92.0%
(-.f64 (log1p.f64 1) (*.f64 x y))
▶2.7%
(+.f64 (*.f64 x y) (*.f64 x 1/2))
37.9%
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
▶55.6%
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
✓85.5%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓50.8%
(+.f64 (log.f64 2) (*.f64 1/2 x))
✓50.5%
(*.f64 (neg.f64 x) y)
▶37.9%
(*.f64 x (-.f64 1/2 y))
▶2.7%
(*.f64 x (+.f64 1/2 y))
▶3.7%
(*.f64 1/2 x)
Compiler

Compiled 358 to 268 computations (25.1% saved)

localize142.0ms (1.9%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 (*.f64 x y) (*.f64 x 1/2))
100.0%
(*.f64 x (-.f64 1/2 y))
✓100.0%
(*.f64 x (+.f64 1/2 y))
✓100.0%
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
Compiler

Compiled 84 to 55 computations (34.5% saved)

series3.0ms (0%)

Counts
3 → 42
Calls

15 calls:

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

rewrite105.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
956×log1p-expm1-u
956×expm1-log1p-u
482×expm1-udef
480×log1p-udef
226×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02275
132975
2415075
Stop Event
1×node limit
Counts
3 → 132
Calls
Call 1
Inputs
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(*.f64 x (+.f64 1/2 y))
(+.f64 (*.f64 x y) (*.f64 x 1/2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))) (/.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 2) (-.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(*.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) 1)
(*.f64 1 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))) 2) (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))) (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 2)) (/.f64 1 (-.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) (log.f64 2)))) (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 2)) (-.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 2))) (neg.f64 (-.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 x 2))) 3) (pow.f64 (*.f64 x 1/2) 3)) (+.f64 (*.f64 (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 x 2))) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 x 2)))) (-.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 x 2))) (*.f64 x 1/2)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) (log.f64 2)))
(/.f64 (-.f64 (*.f64 (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 x 2))) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 x 2)))) (*.f64 (pow.f64 x 2) 1/4)) (-.f64 (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 x 2))) (*.f64 x 1/2)))
(pow.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) 2))
(log.f64 (*.f64 2 (exp.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(exp.f64 (log.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(fma.f64 1 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))
(fma.f64 1 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) 2) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))
(fma.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))
(+.f64 (*.f64 x 1/2) (*.f64 x y))
(+.f64 (*.f64 x y) (*.f64 x 1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (-.f64 y 1/2))) (/.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 x (-.f64 y 1/2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (*.f64 x (-.f64 y 1/2)) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (pow.f64 x 2) 1/4))))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (*.f64 y (*.f64 x 1/2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (pow.f64 x 2) 1/4)) (*.f64 x (-.f64 y 1/2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (pow.f64 x 2) 1/4))) (neg.f64 (*.f64 x (-.f64 y 1/2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (*.f64 x y) 2)) (-.f64 (*.f64 x 1/2) (*.f64 x y)))
(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (-.f64 y 1/2))))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (-.f64 1/2 y))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (*.f64 y (-.f64 y 1/2))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (-.f64 1/2 y))
(pow.f64 (*.f64 x (+.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3))
(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))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1/2 y))))
(fma.f64 x 1/2 (*.f64 x y))
(fma.f64 x y (*.f64 x 1/2))
(fma.f64 1/2 x (*.f64 x y))
(fma.f64 y x (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (*.f64 x y))
(fma.f64 1 (*.f64 x y) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x 1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (-.f64 y 1/2))) (/.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 x (-.f64 y 1/2))))
(*.f64 x (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) x)
(*.f64 (*.f64 x (+.f64 1/2 y)) 1)
(*.f64 1 (*.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 (cbrt.f64 (pow.f64 x 2)) (*.f64 (cbrt.f64 x) (+.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 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (pow.f64 x 2) 1/4)) (/.f64 1 (*.f64 x (-.f64 y 1/2))))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (cbrt.f64 (+.f64 1/2 y)))
(*.f64 (*.f64 x (sqrt.f64 (+.f64 1/2 y))) (sqrt.f64 (+.f64 1/2 y)))
(*.f64 (*.f64 (+.f64 1/2 y) (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (*.f64 x (-.f64 y 1/2)) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (pow.f64 x 2) 1/4))))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (*.f64 y (*.f64 x 1/2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (pow.f64 x 2) 1/4)) (*.f64 x (-.f64 y 1/2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (pow.f64 x 2) 1/4))) (neg.f64 (*.f64 x (-.f64 y 1/2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (*.f64 x y) 2)) (-.f64 (*.f64 x 1/2) (*.f64 x y)))
(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (-.f64 y 1/2))))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (-.f64 1/2 y))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (*.f64 y (-.f64 y 1/2))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (-.f64 1/2 y))
(pow.f64 (*.f64 x (+.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3))
(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))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1/2 y))))
(fma.f64 x 1/2 (*.f64 x y))
(fma.f64 x y (*.f64 x 1/2))
(fma.f64 1/2 x (*.f64 x y))
(fma.f64 y x (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (*.f64 x y))
(fma.f64 1 (*.f64 x y) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x 1/2))

simplify120.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1460×fma-def
1208×distribute-lft-in
1204×distribute-rgt-in
1030×times-frac
916×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02536622
16596341
221326189
Stop Event
1×node limit
Counts
174 → 133
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x y)
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x y)
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (*.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 -1 (*.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(*.f64 -1 (*.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x y)
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(*.f64 x y)
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))) (/.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 2) (-.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(*.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) 1)
(*.f64 1 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))) 2) (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))) (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) (log.f64 2))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 2)) (/.f64 1 (-.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) (log.f64 2)))) (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 2)) (-.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 2))) (neg.f64 (-.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 x 2))) 3) (pow.f64 (*.f64 x 1/2) 3)) (+.f64 (*.f64 (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 x 2))) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 x 2)))) (-.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 x 2))) (*.f64 x 1/2)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) (log.f64 2)))
(/.f64 (-.f64 (*.f64 (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 x 2))) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 x 2)))) (*.f64 (pow.f64 x 2) 1/4)) (-.f64 (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 x 2))) (*.f64 x 1/2)))
(pow.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) 2))
(log.f64 (*.f64 2 (exp.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(exp.f64 (log.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))))
(fma.f64 1 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))
(fma.f64 1 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) 2) (cbrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))
(fma.f64 (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) (sqrt.f64 (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))
(+.f64 (*.f64 x 1/2) (*.f64 x y))
(+.f64 (*.f64 x y) (*.f64 x 1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (-.f64 y 1/2))) (/.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 x (-.f64 y 1/2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (*.f64 x (-.f64 y 1/2)) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (pow.f64 x 2) 1/4))))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (*.f64 y (*.f64 x 1/2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (pow.f64 x 2) 1/4)) (*.f64 x (-.f64 y 1/2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (pow.f64 x 2) 1/4))) (neg.f64 (*.f64 x (-.f64 y 1/2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (*.f64 x y) 2)) (-.f64 (*.f64 x 1/2) (*.f64 x y)))
(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (-.f64 y 1/2))))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (-.f64 1/2 y))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (*.f64 y (-.f64 y 1/2))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (-.f64 1/2 y))
(pow.f64 (*.f64 x (+.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3))
(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))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1/2 y))))
(fma.f64 x 1/2 (*.f64 x y))
(fma.f64 x y (*.f64 x 1/2))
(fma.f64 1/2 x (*.f64 x y))
(fma.f64 y x (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (*.f64 x y))
(fma.f64 1 (*.f64 x y) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x 1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (-.f64 y 1/2))) (/.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 x (-.f64 y 1/2))))
(*.f64 x (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) x)
(*.f64 (*.f64 x (+.f64 1/2 y)) 1)
(*.f64 1 (*.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 (cbrt.f64 (pow.f64 x 2)) (*.f64 (cbrt.f64 x) (+.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 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (pow.f64 x 2) 1/4)) (/.f64 1 (*.f64 x (-.f64 y 1/2))))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (cbrt.f64 (+.f64 1/2 y)))
(*.f64 (*.f64 x (sqrt.f64 (+.f64 1/2 y))) (sqrt.f64 (+.f64 1/2 y)))
(*.f64 (*.f64 (+.f64 1/2 y) (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (*.f64 x (-.f64 y 1/2)) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (pow.f64 x 2) 1/4))))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (*.f64 y (*.f64 x 1/2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (pow.f64 x 2) 1/4)) (*.f64 x (-.f64 y 1/2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (pow.f64 x 2) 1/4))) (neg.f64 (*.f64 x (-.f64 y 1/2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (*.f64 x y) 2)) (-.f64 (*.f64 x 1/2) (*.f64 x y)))
(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (-.f64 y 1/2))))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (-.f64 1/2 y))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (*.f64 y (-.f64 y 1/2))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (-.f64 1/2 y))
(pow.f64 (*.f64 x (+.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3))
(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))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1/2 y))))
(fma.f64 x 1/2 (*.f64 x y))
(fma.f64 x y (*.f64 x 1/2))
(fma.f64 1/2 x (*.f64 x y))
(fma.f64 y x (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (*.f64 x y))
(fma.f64 1 (*.f64 x y) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x 1/2))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))
(*.f64 1/8 (pow.f64 x 2))
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(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (cbrt.f64 (+.f64 1/2 y)))
(*.f64 x (+.f64 1/2 y))
(*.f64 (*.f64 x (sqrt.f64 (+.f64 1/2 y))) (sqrt.f64 (+.f64 1/2 y)))
(*.f64 x (+.f64 1/2 y))
(*.f64 (*.f64 (+.f64 1/2 y) (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x)) (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) (*.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x)))
(*.f64 (*.f64 (+.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (+.f64 1/2 y))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 1/2 x) (*.f64 x (-.f64 1/2 y)))))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 x (*.f64 1/2 (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x y) 2)))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 x (*.f64 (*.f64 1/2 x) (-.f64 1/2 y)) (pow.f64 (*.f64 x y) 2)))
(/.f64 1 (/.f64 (*.f64 x (-.f64 y 1/2)) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (pow.f64 x 2) 1/4))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (pow.f64 x 2) 1/4)) (*.f64 x (+.f64 y -1/2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (pow.f64 x 2) -1/4)) (*.f64 x (+.f64 y -1/2)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/4 (pow.f64 (*.f64 x y) 2)) (*.f64 x (+.f64 y -1/2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x y)))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 1/2 x) (*.f64 x (-.f64 1/2 y)))))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 x (*.f64 1/2 (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x y) 2)))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 x (*.f64 (*.f64 1/2 x) (-.f64 1/2 y)) (pow.f64 (*.f64 x y) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (*.f64 y (*.f64 x 1/2))))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 1/2 x) (*.f64 x (-.f64 1/2 y)))))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 x (*.f64 1/2 (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x y) 2)))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 x (*.f64 (*.f64 1/2 x) (-.f64 1/2 y)) (pow.f64 (*.f64 x y) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (pow.f64 x 2) 1/4)) (*.f64 x (-.f64 y 1/2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (pow.f64 x 2) 1/4)) (*.f64 x (+.f64 y -1/2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (pow.f64 x 2) -1/4)) (*.f64 x (+.f64 y -1/2)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/4 (pow.f64 (*.f64 x y) 2)) (*.f64 x (+.f64 y -1/2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x y))))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 1/2 x) (*.f64 x (-.f64 1/2 y)))))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 x (*.f64 1/2 (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x y) 2)))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 x (*.f64 (*.f64 1/2 x) (-.f64 1/2 y)) (pow.f64 (*.f64 x y) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (pow.f64 x 2) 1/4))) (neg.f64 (*.f64 x (-.f64 y 1/2))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (pow.f64 x 2) 1/4)) (*.f64 x (+.f64 y -1/2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (pow.f64 x 2) -1/4)) (*.f64 x (+.f64 y -1/2)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/4 (pow.f64 (*.f64 x y) 2)) (*.f64 x (+.f64 y -1/2)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (*.f64 x y) 2)) (-.f64 (*.f64 x 1/2) (*.f64 x y)))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (pow.f64 x 2) 1/4)) (*.f64 x (+.f64 y -1/2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (pow.f64 x 2) -1/4)) (*.f64 x (+.f64 y -1/2)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/4 (pow.f64 (*.f64 x y) 2)) (*.f64 x (+.f64 y -1/2)))
(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (-.f64 y 1/2))))
(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 y -1/2))))
(*.f64 (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 y -1/2) 1/4)) x)
(*.f64 (/.f64 x (fma.f64 y (+.f64 y -1/2) 1/4)) (+.f64 1/8 (pow.f64 y 3)))
(/.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 x (-.f64 1/2 y)) (-.f64 1/4 (pow.f64 y 2)))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (*.f64 y (-.f64 y 1/2))))
(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 y -1/2))))
(*.f64 (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 y -1/2) 1/4)) x)
(*.f64 (/.f64 x (fma.f64 y (+.f64 y -1/2) 1/4)) (+.f64 1/8 (pow.f64 y 3)))
(/.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 x (-.f64 1/2 y)) (-.f64 1/4 (pow.f64 y 2)))
(pow.f64 (*.f64 x (+.f64 1/2 y)) 1)
(*.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))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) 2)
(*.f64 x (+.f64 1/2 y))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2))
(*.f64 x (+.f64 1/2 y))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1/2 y)))
(*.f64 x (+.f64 1/2 y))
(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))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1/2 y))))
(*.f64 x (+.f64 1/2 y))
(fma.f64 x 1/2 (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(fma.f64 x y (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 1/2 x (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(fma.f64 y x (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 1 (*.f64 x 1/2) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(fma.f64 1 (*.f64 x y) (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))

eval121.0ms (1.6%)

Compiler

Compiled 2839 to 2096 computations (26.2% saved)

prune167.0ms (2.2%)

Pruning

17 alts after pruning (4 fresh and 13 done)

PrunedKeptTotal
New1764180
Fresh101
Picked055
Done088
Total17717194
Accuracy
100.0%
Counts
194 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
✓85.5%
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
37.9%
(-.f64 (*.f64 x 1/2) (*.f64 x y))
✓98.9%
(-.f64 (log1p.f64 (+.f64 1 (expm1.f64 x))) (*.f64 x y))
✓99.2%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓92.0%
(-.f64 (log1p.f64 1) (*.f64 x y))
✓2.7%
(+.f64 (*.f64 x y) (*.f64 x 1/2))
8.4%
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
✓55.6%
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
✓85.5%
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓50.8%
(+.f64 (log.f64 2) (*.f64 1/2 x))
✓50.5%
(*.f64 (neg.f64 x) y)
✓37.9%
(*.f64 x (-.f64 1/2 y))
✓2.7%
(*.f64 x (+.f64 1/2 y))
2.3%
(*.f64 x y)
✓3.7%
(*.f64 1/2 x)
50.3%
(log.f64 2)
Compiler

Compiled 306 to 207 computations (32.4% saved)

regimes42.0ms (0.5%)

Counts
22 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x y)
(*.f64 (neg.f64 x) y)
(*.f64 x (+.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
(+.f64 (*.f64 x y) (*.f64 x 1/2))
(-.f64 (*.f64 x 1/2) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log1p.f64 1) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (+.f64 1 (expm1.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (-.f64 (+.f64 (exp.f64 x) 1) 1)) (*.f64 x y))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
Calls

3 calls:

14.0ms
y
12.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
10.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
99.2%1y
99.2%1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 179 to 111 computations (38% saved)

regimes64.0ms (0.8%)

Counts
21 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x y)
(*.f64 (neg.f64 x) y)
(*.f64 x (+.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
(+.f64 (*.f64 x y) (*.f64 x 1/2))
(-.f64 (*.f64 x 1/2) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log1p.f64 1) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (+.f64 1 (expm1.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (-.f64 (+.f64 (exp.f64 x) 1) 1)) (*.f64 x y))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y))))
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Calls

3 calls:

38.0ms
x
11.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
10.0ms
y
Results
AccuracySegmentsBranch
99.2%1x
99.2%1y
99.2%1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 172 to 109 computations (36.6% saved)

regimes31.0ms (0.4%)

Counts
15 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x y)
(*.f64 (neg.f64 x) y)
(*.f64 x (+.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
(+.f64 (*.f64 x y) (*.f64 x 1/2))
(-.f64 (*.f64 x 1/2) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log1p.f64 1) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x y))
Outputs
(*.f64 (neg.f64 x) y)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
Calls

2 calls:

20.0ms
x
8.0ms
y
Results
AccuracySegmentsBranch
98.4%2x
92.0%1y
Compiler

Compiled 99 to 62 computations (37.4% saved)

regimes21.0ms (0.3%)

Counts
12 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x y)
(*.f64 (neg.f64 x) y)
(*.f64 x (+.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
(+.f64 (*.f64 x y) (*.f64 x 1/2))
(-.f64 (*.f64 x 1/2) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(-.f64 (log1p.f64 1) (*.f64 x y))
Outputs
(*.f64 (neg.f64 x) y)
(-.f64 (log1p.f64 1) (*.f64 x y))
Calls

1 calls:

18.0ms
x
Results
AccuracySegmentsBranch
98.0%2x
Compiler

Compiled 69 to 41 computations (40.6% saved)

regimes103.0ms (1.4%)

Counts
11 → 3
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x y)
(*.f64 (neg.f64 x) y)
(*.f64 x (+.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
(+.f64 (*.f64 x y) (*.f64 x 1/2))
(-.f64 (*.f64 x 1/2) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
Outputs
(*.f64 (neg.f64 x) y)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
Calls

2 calls:

54.0ms
y
41.0ms
x
Results
AccuracySegmentsBranch
76.6%5y
84.0%3x
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes28.0ms (0.4%)

Counts
10 → 3
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x y)
(*.f64 (neg.f64 x) y)
(*.f64 x (+.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (+.f64 1/2 (*.f64 -1 y)))
(+.f64 (*.f64 x y) (*.f64 x 1/2))
(-.f64 (*.f64 x 1/2) (*.f64 x y))
(+.f64 (*.f64 -1 (*.f64 x y)) (*.f64 1/2 x))
(log.f64 2)
Outputs
(*.f64 (neg.f64 x) y)
(log.f64 2)
(*.f64 x (-.f64 1/2 y))
Calls

1 calls:

22.0ms
x
Results
AccuracySegmentsBranch
84.0%3x
Compiler

Compiled 57 to 33 computations (42.1% saved)

regimes29.0ms (0.4%)

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

2 calls:

21.0ms
y
6.0ms
x
Results
AccuracySegmentsBranch
50.5%1y
50.5%1x
Compiler

Compiled 58 to 33 computations (43.1% saved)

regimes7.0ms (0.1%)

Accuracy

Total -1.2b remaining (-2%)

Threshold costs -1.2b (-2%)

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

2 calls:

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

Compiled 14 to 9 computations (35.7% saved)

bsearch15.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
-152.0283398057089
-2.6146097420822465
Results
14.0ms112×body256valid
Compiler

Compiled 142 to 110 computations (22.5% saved)

bsearch48.0ms (0.6%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
48.0ms
-1.673464041504893e+31
-15431204601035596000.0
Results
21.0ms36×body1024valid
20.0ms100×body256valid
5.0ms19×body512valid
1.0ms5×body256infinite
Compiler

Compiled 176 to 132 computations (25% saved)

bsearch21.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
9.148099896935692e-40
1.872463396024873e-38
6.0ms
-3.22369370953056e-9
-2.3888049263774424e-9
Results
19.0ms160×body256valid
Compiler

Compiled 183 to 149 computations (18.6% saved)

bsearch95.0ms (1.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
57.0ms
9.148099896935692e-40
1.872463396024873e-38
38.0ms
-8.44950203995362e-13
-1.6047332580822968e-15
Results
91.0ms240×body256valid
Compiler

Compiled 203 to 169 computations (16.7% saved)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
16×+-commutative
14×*-commutative
12×sub-neg
8×cancel-sign-sub-inv
6×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049342
168342
281342
385342
486342
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3039929748475085/1125899906842624) (*.f64 (neg.f64 x) y) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -15500000000000000000) (*.f64 (neg.f64 x) y) (-.f64 (log1p.f64 1) (*.f64 x y)))
(if (<=.f64 x -7253554917687775/2417851639229258349412352) (*.f64 (neg.f64 x) y) (if (<=.f64 x 1225996432692711/383123885216472214589586756787577295904684780545900544) (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -5862884026055561/316912650057057350374175801344) (*.f64 (neg.f64 x) y) (if (<=.f64 x 6129982163463555/383123885216472214589586756787577295904684780545900544) (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(*.f64 (neg.f64 x) y)
(*.f64 1/2 x)
Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3039929748475085/1125899906842624) (*.f64 (neg.f64 x) y) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -3039929748475085/1125899906842624) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -3039929748475085/1125899906842624) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -15500000000000000000) (*.f64 (neg.f64 x) y) (-.f64 (log1p.f64 1) (*.f64 x y)))
(if (<=.f64 x -15500000000000000000) (*.f64 y (neg.f64 x)) (-.f64 (log1p.f64 1) (*.f64 x y)))
(if (<=.f64 x -15500000000000000000) (*.f64 x (neg.f64 y)) (-.f64 (log1p.f64 1) (*.f64 x y)))
(if (<=.f64 x -7253554917687775/2417851639229258349412352) (*.f64 (neg.f64 x) y) (if (<=.f64 x 1225996432692711/383123885216472214589586756787577295904684780545900544) (+.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -7253554917687775/2417851639229258349412352) (*.f64 y (neg.f64 x)) (if (<=.f64 x 1225996432692711/383123885216472214589586756787577295904684780545900544) (+.f64 (log.f64 2) (*.f64 x 1/2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -7253554917687775/2417851639229258349412352) (*.f64 x (neg.f64 y)) (if (<=.f64 x 1225996432692711/383123885216472214589586756787577295904684780545900544) (+.f64 (log.f64 2) (*.f64 x 1/2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -5862884026055561/316912650057057350374175801344) (*.f64 (neg.f64 x) y) (if (<=.f64 x 6129982163463555/383123885216472214589586756787577295904684780545900544) (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -5862884026055561/316912650057057350374175801344) (*.f64 y (neg.f64 x)) (if (<=.f64 x 6129982163463555/383123885216472214589586756787577295904684780545900544) (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -5862884026055561/316912650057057350374175801344) (*.f64 x (neg.f64 y)) (if (<=.f64 x 6129982163463555/383123885216472214589586756787577295904684780545900544) (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)
Compiler

Compiled 109 to 77 computations (29.4% saved)

soundness1.0s (13.3%)

Rules
1530×times-frac
1530×times-frac
1354×fma-def
1354×fma-def
1274×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028158
164154
297146
3214146
4367146
5608146
61137146
72601146
85625146
97762146
028158
164154
297146
3214146
4367146
5608146
61137146
72601146
85625146
97762146
063414284
1153513192
2484513164
04037745
19787401
241227316
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 150 to 83 computations (44.7% saved)

end0.0ms (0%)

preprocess152.0ms (2%)

Compiler

Compiled 268 to 158 computations (41% saved)

Profiling

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