Logistic regression 2

Time bar (total: 7.1s)

analyze0.0ms (0%)

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

Compiled 12 to 9 computations (25% saved)

sample2.7s (38.6%)

Results
1.5s2278×body8192exit
881.0ms6868×body256valid
136.0ms984×body256infinite
89.0ms192×body1024valid
57.0ms209×body512valid
2.0ms3×body2048valid
Bogosity

preprocess94.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1536×times-frac
1354×fma-def
800×fma-neg
720×fabs-mul
544×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02592
16188
29480
321180
436580
560780
6113780
7260380
8562080
9775180
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 (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))
(-.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 13 to 10 computations (23.1% saved)

simplify83.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1340×fma-def
786×fabs-mul
740×associate-*l*
738×times-frac
592×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121
12121
23221
35021
46921
510321
615721
720821
827621
935421
1041021
1143721
1251621
1374021
14165821
15479521
16577521
17726521
Stop Event
1×node limit
Counts
1 → 3
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
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)))

eval1.0ms (0%)

Compiler

Compiled 25 to 12 computations (52% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New213
Fresh101
Picked000
Done000
Total314
Accurracy
99.6%
Counts
4 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize40.0ms (0.6%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓99.6%
(log1p.f64 (exp.f64 x))
Compiler

Compiled 20 to 7 computations (65% saved)

series286.0ms (4.1%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
248.0ms
x
@-inf
(log1p.f64 (exp.f64 x))
32.0ms
x
@inf
(log1p.f64 (exp.f64 x))
5.0ms
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))

rewrite66.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1934×pow1
1780×add-exp-log
1780×log1p-expm1-u
1780×expm1-log1p-u
196×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0930
118730
2245830
Stop Event
1×node limit
Counts
2 → 54
Calls
Call 1
Inputs
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Outputs
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (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 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 y (neg.f64 x)) 1))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 y (neg.f64 x)) 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 y (neg.f64 x)) (log1p.f64 (exp.f64 x)))
(*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(*.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))
(*.f64 (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 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.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)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.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 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.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 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 y (neg.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x))))
(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))))
(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 y (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 y (neg.f64 x)))

simplify76.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
708×fma-neg
654×times-frac
642×unswap-sqr
568×log-prod
488×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01552172
13922052
216222052
370572052
Stop Event
1×node limit
Counts
90 → 80
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (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 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 y (neg.f64 x)) 1))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 y (neg.f64 x)) 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 y (neg.f64 x)) (log1p.f64 (exp.f64 x)))
(*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(*.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))
(*.f64 (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 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.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)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.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 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.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 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 y (neg.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x))))
(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))))
(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 y (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 y (neg.f64 x)))
Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (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))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (*.f64 x x) (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y 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 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(log1p.f64 (exp.f64 x))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (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))
(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))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 y (neg.f64 x)) 1))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.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 (log1p.f64 (exp.f64 x)) (*.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 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (*.f64 y (neg.f64 x)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (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 (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 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 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)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (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 (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 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 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)) (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)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (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 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 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)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (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 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 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)) (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 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 y (neg.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 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)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 y (neg.f64 x)))
(-.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 y (neg.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

eval16.0ms (0.2%)

Compiler

Compiled 1123 to 413 computations (63.2% saved)

prune39.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New75580
Fresh000
Picked011
Done000
Total75681
Accurracy
99.7%
Counts
81 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶63.2%
(/.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)))))
▶98.5%
(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))
✓99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶89.7%
(-.f64 (log.f64 2) (*.f64 x y))
▶83.5%
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶55.4%
(*.f64 y (neg.f64 x))
▶63.2%
(/.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)))))
▶98.5%
(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))
✓99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶89.7%
(-.f64 (log.f64 2) (*.f64 x y))
▶83.5%
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶55.4%
(*.f64 y (neg.f64 x))
Compiler

Compiled 290 to 188 computations (35.2% saved)

localize400.0ms (5.7%)

Local Accuracy

Found 11 expressions with local accuracy:

NewAccuracyProgram
99.6%
(log1p.f64 (exp.f64 x))
✓99.1%
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
✓99.1%
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
✓69.9%
(/.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)))))
✓100.0%
(*.f64 (-.f64 1/2 y) x)
✓100.0%
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
✓100.0%
(-.f64 (log.f64 2) (*.f64 x y))
✓100.0%
(+.f64 1 (log1p.f64 (exp.f64 x)))
✓100.0%
(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))
99.6%
(log1p.f64 (exp.f64 x))
✓98.7%
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
Compiler

Compiled 183 to 68 computations (62.8% saved)

series18.0ms (0.3%)

Counts
9 → 147
Calls

42 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
2.0ms
x
@0
(-.f64 (log.f64 2) (*.f64 x y))
2.0ms
x
@0
(/.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)))))
1.0ms
x
@-inf
(/.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)))))
1.0ms
y
@0
(-.f64 (log.f64 2) (*.f64 x y))

rewrite121.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
684×add-sqr-sqrt
674×pow1
666×*-un-lft-identity
648×add-exp-log
646×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028239
1674207
Stop Event
1×node limit
Counts
9 → 234
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(*.f64 (-.f64 1/2 y) 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)))))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
Outputs
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) 1))
(+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) -1)
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) 1) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) 1) (+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) 1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) 1)) (neg.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) 1) 3)) (+.f64 1 (-.f64 (*.f64 (-.f64 (log1p.f64 (exp.f64 x)) 1) (-.f64 (log1p.f64 (exp.f64 x)) 1)) (-.f64 (log1p.f64 (exp.f64 x)) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) -1))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(fabs.f64 (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (exp.f64 x))
(fma.f64 1 (+.f64 1 (log1p.f64 (exp.f64 x))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) -1)
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (neg.f64 x) y))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (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 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 x y) 1))) (fma.f64 (neg.f64 (*.f64 x y)) 1 (*.f64 (*.f64 x y) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 x y) 1))) (fma.f64 (neg.f64 (*.f64 x y)) 1 (*.f64 (*.f64 x y) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 x y) 1))) (fma.f64 (neg.f64 (*.f64 x y)) 1 (*.f64 (*.f64 x y) 1)))
(*.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (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 (pow.f64 (*.f64 x y) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (neg.f64 (*.f64 x y)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (neg.f64 (*.f64 x y)) (neg.f64 (*.f64 x y))) (*.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 (neg.f64 x) y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) y)) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 (neg.f64 x) y)))))
(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)
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(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)) (neg.f64 (*.f64 x y)))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 (neg.f64 x) y))
(fma.f64 1 (+.f64 1 (log1p.f64 (exp.f64 x))) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (neg.f64 x) y))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (neg.f64 x) y))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (log1p.f64 (exp.f64 x))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 1 (log1p.f64 (exp.f64 x)))))
(*.f64 1 (+.f64 1 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 1 (log1p.f64 (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 1 (*.f64 (log1p.f64 (exp.f64 x)) 1))))
(pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2))
(log.f64 (*.f64 (E.f64) (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (log1p.f64 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))))
(exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))))
(fma.f64 1 (log1p.f64 (exp.f64 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) 1)
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) 1)
(+.f64 (log.f64 2) (neg.f64 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 (neg.f64 x) y))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (fma.f64 1 (log.f64 2) (neg.f64 (*.f64 (*.f64 x y) 1))) (fma.f64 (neg.f64 (*.f64 x y)) 1 (*.f64 (*.f64 x y) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (*.f64 (*.f64 x y) 1))) (fma.f64 (neg.f64 (*.f64 x y)) 1 (*.f64 (*.f64 x y) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (*.f64 (*.f64 x y) 1))) (fma.f64 (neg.f64 (*.f64 x y)) 1 (*.f64 (*.f64 x y) 1)))
(*.f64 1 (-.f64 (log.f64 2) (*.f64 x y)))
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(/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) 1) 3) (pow.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1))) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) 1) 3) (pow.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) 3))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 1)
(*.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(*.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) 1) (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) 1)) (*.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) 1) (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) 1)) (*.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1))) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) 1) (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) 1)) (*.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1))) (+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) 1) (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) 1)) (*.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)))))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(exp.f64 (*.f64 2 (log.f64 (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log1p.f64 (exp.f64 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))

simplify161.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
1280×fma-def
676×associate-*r*
626×associate-*l*
530×associate-/l*
480×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068613961
1194612797
Stop Event
1×node limit
Counts
381 → 392
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 1 (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(log.f64 2)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (log.f64 2) (*.f64 (-.f64 (+.f64 1/8 (*.f64 1/2 (/.f64 1 (log.f64 2)))) (+.f64 (/.f64 (*.f64 (+.f64 1/2 y) y) (log.f64 2)) (/.f64 (*.f64 (-.f64 1/2 y) (+.f64 (*.f64 y (log.f64 2)) (log.f64 2))) (pow.f64 (log.f64 2) 2)))) (pow.f64 x 2))))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (log.f64 2) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/2 (/.f64 (+.f64 1/4 (*.f64 1/4 (log.f64 2))) (pow.f64 (log.f64 2) 2)))) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 (log.f64 2) 2)) (+.f64 (/.f64 (*.f64 (-.f64 1/2 y) (+.f64 1/4 (+.f64 (*.f64 (+.f64 1/2 y) y) (*.f64 1/4 (log.f64 2))))) (pow.f64 (log.f64 2) 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 y (log.f64 2)) (log.f64 2)) (-.f64 (+.f64 1/8 (*.f64 1/2 (/.f64 1 (log.f64 2)))) (+.f64 (/.f64 (*.f64 (+.f64 1/2 y) y) (log.f64 2)) (/.f64 (*.f64 (-.f64 1/2 y) (+.f64 (log.f64 2) (*.f64 (log.f64 2) y))) (pow.f64 (log.f64 2) 2))))) (pow.f64 (log.f64 2) 2)) (+.f64 (*.f64 1/8 (/.f64 1 (log.f64 2))) (*.f64 1/8 (/.f64 y (log.f64 2)))))))) (pow.f64 x 3)) (*.f64 (-.f64 (+.f64 1/8 (*.f64 1/2 (/.f64 1 (log.f64 2)))) (+.f64 (/.f64 (*.f64 (+.f64 1/2 y) y) (log.f64 2)) (/.f64 (*.f64 (-.f64 1/2 y) (+.f64 (*.f64 y (log.f64 2)) (log.f64 2))) (pow.f64 (log.f64 2) 2)))) (pow.f64 x 2)))))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) y)) (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) y)) x)) (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) y)) (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) y)) x)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) y)) (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) y)) (log.f64 (+.f64 1 (exp.f64 x)))) (*.f64 y (pow.f64 x 2))) (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (*.f64 y x)) (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (*.f64 y x))) (*.f64 -1 (*.f64 y x)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) y)) (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) y)) (log.f64 (+.f64 1 (exp.f64 x)))) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (*.f64 y x)) (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (*.f64 y x))) (*.f64 -1 (*.f64 y x))))))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (+.f64 (*.f64 -1 (*.f64 y x)) (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (/.f64 (pow.f64 x 2) (log.f64 (+.f64 1 (exp.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 x 2) (log.f64 (+.f64 1 (exp.f64 x))))))))))
(+.f64 (/.f64 (*.f64 (pow.f64 y 3) (*.f64 (+.f64 (/.f64 (pow.f64 x 2) (log.f64 (+.f64 1 (exp.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 x 2) (log.f64 (+.f64 1 (exp.f64 x)))))) x)) (log.f64 (+.f64 1 (exp.f64 x)))) (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (+.f64 (*.f64 -1 (*.f64 y x)) (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (/.f64 (pow.f64 x 2) (log.f64 (+.f64 1 (exp.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 x 2) (log.f64 (+.f64 1 (exp.f64 x)))))))))))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) x)) (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) x)) y)) (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) x)) (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) x)) y)) (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) x)) (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) x)) (log.f64 (+.f64 1 (exp.f64 x)))) (*.f64 (pow.f64 y 2) x)) (*.f64 -1 (*.f64 y x)))))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (*.f64 y x)) (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (*.f64 y x))) (*.f64 -1 (*.f64 y x)))))
(+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (*.f64 y x)) (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (*.f64 y x))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) x)) (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) x)) (log.f64 (+.f64 1 (exp.f64 x)))) (*.f64 (pow.f64 y 2) x))) (*.f64 -1 (*.f64 y x))))))
(pow.f64 (log.f64 2) 3)
(+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/2 (pow.f64 (log.f64 2) 2))) x) (pow.f64 (log.f64 2) 3))
(+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/2 (pow.f64 (log.f64 2) 2))) x) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (log.f64 2)) (+.f64 (*.f64 (log.f64 2) (+.f64 1/4 (*.f64 1/4 (log.f64 2)))) (*.f64 1/8 (pow.f64 (log.f64 2) 2)))) (pow.f64 x 2)) (pow.f64 (log.f64 2) 3)))
(+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/2 (pow.f64 (log.f64 2) 2))) x) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (+.f64 1/4 (*.f64 1/4 (log.f64 2)))) (*.f64 1/4 (log.f64 2))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (log.f64 2)) (+.f64 (*.f64 (log.f64 2) (+.f64 1/4 (*.f64 1/4 (log.f64 2)))) (*.f64 1/8 (pow.f64 (log.f64 2) 2)))) (pow.f64 x 2)) (pow.f64 (log.f64 2) 3))))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (log.f64 2) 2)
(+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) x))
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(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 (exp.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.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 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 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 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 (exp.f64 (log1p.f64 (/.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))))) 1)
(*.f64 1 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (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 (cbrt.f64 (/.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)))) 2) (cbrt.f64 (/.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 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 2)) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (cbrt.f64 (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))
(*.f64 (/.f64 1 (hypot.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (*.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)) (hypot.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (*.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) 2) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 2)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) 2) (hypot.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (*.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (hypot.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (*.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (cbrt.f64 (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 1) (/.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(*.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 2)) (/.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (cbrt.f64 (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (hypot.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (*.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))))) (/.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (hypot.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (*.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))))))))
(pow.f64 (/.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))) 1)
(pow.f64 (cbrt.f64 (/.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)))) 3)
(pow.f64 (pow.f64 (/.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))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.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)))) 2)
(pow.f64 (/.f64 (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 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) -1)
(sqrt.f64 (pow.f64 (/.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))) 2))
(log.f64 (exp.f64 (/.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)))))
(log.f64 (+.f64 1 (expm1.f64 (/.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))))))
(cbrt.f64 (pow.f64 (/.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))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 3) (pow.f64 (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 3)))
(expm1.f64 (log1p.f64 (/.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)))))
(exp.f64 (log.f64 (/.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)))))
(exp.f64 (*.f64 (log.f64 (/.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)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))
(-.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1)
(*.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(*.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) (pow.f64 (log1p.f64 (exp.f64 x)) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) 1) 3) (pow.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1))) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) 1) 3) (pow.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) 3))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 1)
(*.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(*.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) 1) (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) 1)) (*.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) 1) (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) 1)) (*.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1))) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) 1) (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) 1)) (*.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1))) (+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) 1) (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) 1)) (*.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)))))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(exp.f64 (*.f64 2 (log.f64 (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log1p.f64 (exp.f64 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (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))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (*.f64 x x) (log.f64 2)))
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(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 3) (pow.f64 (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 3)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(exp.f64 (*.f64 (log.f64 (/.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)))) 1))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(-.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1)
(+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1))
(+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 0)
(*.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(*.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x)))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) (pow.f64 (log1p.f64 (exp.f64 x)) 3/2))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) 1) 3) (pow.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1))) 3))
(/.f64 (pow.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3)) 3) (pow.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 1 (+.f64 1 (log1p.f64 (exp.f64 x))))) 3))
(/.f64 (pow.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3)) 3) (pow.f64 (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 2 (log1p.f64 (exp.f64 x))))) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) 1) 3) (pow.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) 3))
(/.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) -1) 3) (pow.f64 (+.f64 1 (+.f64 1 (log1p.f64 (exp.f64 x)))) 3))
(/.f64 (pow.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2)) 3) (pow.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) 3))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(exp.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 1)
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
(*.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
(*.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x)))
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) 1) (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) 1)) (*.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) -1) (/.f64 (*.f64 (+.f64 1 (+.f64 1 (log1p.f64 (exp.f64 x)))) (+.f64 1 (+.f64 1 (log1p.f64 (exp.f64 x))))) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) -1)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2)) (/.f64 (*.f64 (+.f64 2 (log1p.f64 (exp.f64 x))) (+.f64 2 (log1p.f64 (exp.f64 x)))) (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) 1) (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) 1)) (*.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1))) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 1 (+.f64 1 (log1p.f64 (exp.f64 x)))))) (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 1 (+.f64 1 (log1p.f64 (exp.f64 x)))))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 2 (log1p.f64 (exp.f64 x)))))) (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 2 (log1p.f64 (exp.f64 x)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) 1) (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) 1)) (*.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1))) (+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 1 (+.f64 1 (log1p.f64 (exp.f64 x)))))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) -1) (+.f64 1 (+.f64 1 (log1p.f64 (exp.f64 x))))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 2 (log1p.f64 (exp.f64 x)))))) (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2)) (+.f64 2 (log1p.f64 (exp.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) 1) (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) 1)) (*.f64 (+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3)) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 1 (+.f64 1 (log1p.f64 (exp.f64 x)))))) (/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) -1) (+.f64 1 (+.f64 1 (log1p.f64 (exp.f64 x))))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 2 (log1p.f64 (exp.f64 x)))))) (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2)) (+.f64 2 (log1p.f64 (exp.f64 x)))))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
(exp.f64 (*.f64 2 (log.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log1p.f64 (exp.f64 x)))) 1))
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(pow.f64 (log1p.f64 (exp.f64 x)) 2)

eval256.0ms (3.6%)

Compiler

Compiled 15934 to 7694 computations (51.7% saved)

prune115.0ms (1.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New5866592
Fresh000
Picked325
Done011
Total5899598
Accurracy
99.7%
Counts
598 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶82.8%
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
▶89.1%
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
✓99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓89.7%
(-.f64 (log.f64 2) (*.f64 x y))
▶46.8%
(+.f64 (*.f64 1/2 x) (log.f64 2))
▶72.6%
(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (log.f64 2))
▶39.8%
(*.f64 (-.f64 1/2 y) x)
✓55.4%
(*.f64 y (neg.f64 x))
66.9%
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
▶82.8%
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
▶89.1%
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
✓99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓89.7%
(-.f64 (log.f64 2) (*.f64 x y))
▶46.8%
(+.f64 (*.f64 1/2 x) (log.f64 2))
▶72.6%
(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (log.f64 2))
▶39.8%
(*.f64 (-.f64 1/2 y) x)
✓55.4%
(*.f64 y (neg.f64 x))
66.9%
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
Compiler

Compiled 314 to 252 computations (19.7% saved)

localize239.0ms (3.4%)

Local Accuracy

Found 10 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(*.f64 x (-.f64 1/2 y))
✓100.0%
(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (log.f64 2))
✓99.8%
(pow.f64 (*.f64 x (-.f64 1/2 y)) 3)
✓56.3%
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
✓100.0%
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
✓99.1%
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1)
✓100.0%
(+.f64 (*.f64 1/2 x) (log.f64 2))
100.0%
(*.f64 (-.f64 1/2 y) x)
✓100.0%
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
✓98.4%
(-.f64 (+.f64 (log.f64 2) 1) 1)
Compiler

Compiled 147 to 109 computations (25.9% saved)

series8.0ms (0.1%)

Counts
9 → 159
Calls

42 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
0.0ms
x
@0
(pow.f64 (*.f64 x (-.f64 1/2 y)) 3)
0.0ms
x
@-inf
(pow.f64 (*.f64 x (-.f64 1/2 y)) 3)
0.0ms
y
@0
(pow.f64 (*.f64 x (-.f64 1/2 y)) 3)
0.0ms
x
@inf
(pow.f64 (*.f64 x (-.f64 1/2 y)) 3)

rewrite135.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
596×add-sqr-sqrt
578×pow1
576×*-un-lft-identity
562×add-exp-log
560×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025163
1615137
Stop Event
1×node limit
Counts
9 → 348
Calls
Call 1
Inputs
(-.f64 (+.f64 (log.f64 2) 1) 1)
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1)
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 3)
(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (log.f64 2))
(*.f64 x (-.f64 1/2 y))
Outputs
(+.f64 (log.f64 2) 0)
(+.f64 1 (+.f64 (log.f64 2) -1))
(+.f64 (+.f64 (log.f64 2) 1) -1)
(*.f64 (log.f64 2) 1)
(*.f64 1 (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)))
(*.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)))
(*.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2))))
(*.f64 (*.f64 (+.f64 (log.f64 2) 2) (log.f64 2)) (/.f64 1 (+.f64 (log.f64 2) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) 1) (-.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) 2) (*.f64 (+.f64 (log.f64 2) 2) (log.f64 2))))
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(-.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (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 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.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 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 x 1/2) (*.f64 y (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 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))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (-.f64 1/2 y)))) 1/3))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))

simplify208.0ms (3%)

Algorithm
1×egg-herbie
Rules
1374×fma-def
852×associate-*l*
846×associate-*r*
548×distribute-rgt-in
530×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067014093
1175613251
Stop Event
1×node limit
Counts
507 → 416
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(log.f64 2)
(*.f64 1/2 x)
(*.f64 1/2 x)
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(*.f64 (+.f64 1/2 (*.f64 -1 y)) x)
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 -1 (*.f64 (-.f64 1/2 y) (*.f64 (cbrt.f64 -1) x)))
(*.f64 -1 (*.f64 (-.f64 1/2 y) (*.f64 (cbrt.f64 -1) x)))
(*.f64 -1 (*.f64 (-.f64 1/2 y) (*.f64 (cbrt.f64 -1) x)))
(*.f64 -1 (*.f64 (-.f64 1/2 y) (*.f64 (cbrt.f64 -1) x)))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(*.f64 1/8 (pow.f64 x 3))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 y (+.f64 (*.f64 -1/4 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 y (+.f64 (*.f64 -1/4 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3))))))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 y (+.f64 (*.f64 -1/4 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))))))
(*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 x 3)))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))) (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 x 3))))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 y (+.f64 (*.f64 -1/4 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3))))))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 y (+.f64 (*.f64 -1/4 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))))))
(*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 x 3)))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))) (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 x 3))))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (*.f64 y (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 1/4 (pow.f64 x 3)))))))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (*.f64 y (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 1/4 (pow.f64 x 3))))))))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(*.f64 -1 (*.f64 (-.f64 1/2 y) (*.f64 (cbrt.f64 -1) x)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1/2 y) (*.f64 (cbrt.f64 -1) x))) (log.f64 2))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1/2 y) (*.f64 (cbrt.f64 -1) x))) (log.f64 2))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1/2 y) (*.f64 (cbrt.f64 -1) x))) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) 0)
(+.f64 1 (+.f64 (log.f64 2) -1))
(+.f64 (+.f64 (log.f64 2) 1) -1)
(*.f64 (log.f64 2) 1)
(*.f64 1 (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)))
(*.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)))
(*.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2))))
(*.f64 (*.f64 (+.f64 (log.f64 2) 2) (log.f64 2)) (/.f64 1 (+.f64 (log.f64 2) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) 1) (-.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) 2) (*.f64 (+.f64 (log.f64 2) 2) (log.f64 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (-.f64 1 (*.f64 (+.f64 (log.f64 2) 1) -1))))
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(*.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (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 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.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 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 x 1/2) (*.f64 y (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 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))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (-.f64 1/2 y)))) 1/3))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log.f64 2))
(log.f64 2)
(*.f64 1/2 x)
(*.f64 x 1/2)
(*.f64 1/2 x)
(*.f64 x 1/2)
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (+.f64 1/2 (*.f64 -1 y)) x)
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 (-.f64 1/2 y) (*.f64 (cbrt.f64 -1) x)))
(neg.f64 (*.f64 (-.f64 1/2 y) (*.f64 x (cbrt.f64 -1))))
(*.f64 (-.f64 1/2 y) (neg.f64 (*.f64 x (cbrt.f64 -1))))
(*.f64 -1 (*.f64 (-.f64 1/2 y) (*.f64 (cbrt.f64 -1) x)))
(neg.f64 (*.f64 (-.f64 1/2 y) (*.f64 x (cbrt.f64 -1))))
(*.f64 (-.f64 1/2 y) (neg.f64 (*.f64 x (cbrt.f64 -1))))
(*.f64 -1 (*.f64 (-.f64 1/2 y) (*.f64 (cbrt.f64 -1) x)))
(neg.f64 (*.f64 (-.f64 1/2 y) (*.f64 x (cbrt.f64 -1))))
(*.f64 (-.f64 1/2 y) (neg.f64 (*.f64 x (cbrt.f64 -1))))
(*.f64 -1 (*.f64 (-.f64 1/2 y) (*.f64 (cbrt.f64 -1) x)))
(neg.f64 (*.f64 (-.f64 1/2 y) (*.f64 x (cbrt.f64 -1))))
(*.f64 (-.f64 1/2 y) (neg.f64 (*.f64 x (cbrt.f64 -1))))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 3)
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 3)
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 3)
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 3)
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 3)
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 3)
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 3)
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 3)
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 3)
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 3)
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 3)
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 3)
(*.f64 1/8 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/8)
(+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 y (+.f64 (*.f64 -1/4 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))))
(fma.f64 1/8 (pow.f64 x 3) (*.f64 y (*.f64 (pow.f64 x 3) -3/4)))
(fma.f64 y (*.f64 (pow.f64 x 3) -3/4) (*.f64 (pow.f64 x 3) 1/8))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 y (+.f64 (*.f64 -1/4 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3))))))
(fma.f64 (*.f64 y y) (*.f64 3/2 (pow.f64 x 3)) (fma.f64 1/8 (pow.f64 x 3) (*.f64 y (*.f64 (pow.f64 x 3) -3/4))))
(fma.f64 (*.f64 y y) (*.f64 3/2 (pow.f64 x 3)) (fma.f64 y (*.f64 (pow.f64 x 3) -3/4) (*.f64 (pow.f64 x 3) 1/8)))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 y (+.f64 (*.f64 -1/4 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))))))
(fma.f64 (*.f64 y y) (*.f64 3/2 (pow.f64 x 3)) (fma.f64 -1 (pow.f64 (*.f64 y x) 3) (fma.f64 1/8 (pow.f64 x 3) (*.f64 y (*.f64 (pow.f64 x 3) -3/4)))))
(fma.f64 (*.f64 y y) (*.f64 3/2 (pow.f64 x 3)) (-.f64 (fma.f64 y (*.f64 (pow.f64 x 3) -3/4) (*.f64 (pow.f64 x 3) 1/8)) (pow.f64 (*.f64 y x) 3)))
(*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 x 3)))
(neg.f64 (pow.f64 (*.f64 y x) 3))
(pow.f64 (*.f64 y (neg.f64 x)) 3)
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))) (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 x 3))))
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(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) 1) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))
(/.f64 (+.f64 (pow.f64 (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 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (-.f64 1/2 y)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 y x)) 2))
(fabs.f64 (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 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(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 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(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))
(+.f64 (*.f64 x 1/2) (*.f64 y (neg.f64 x)))
(*.f64 x (-.f64 1/2 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(*.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 (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))
(fabs.f64 (*.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))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (-.f64 1/2 y)))) 1/3))
(*.f64 x (-.f64 1/2 y))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))

eval201.0ms (2.8%)

Compiler

Compiled 7760 to 5712 computations (26.4% saved)

prune98.0ms (1.4%)

Pruning

12 alts after pruning (5 fresh and 7 done)

PrunedKeptTotal
New4275432
Fresh101
Picked145
Done033
Total42912441
Accurracy
99.7%
Counts
441 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓82.8%
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
✓89.1%
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
✓99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓89.7%
(-.f64 (log.f64 2) (*.f64 x y))
▶59.2%
(+.f64 (*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y))) (log.f64 2))
✓46.8%
(+.f64 (*.f64 1/2 x) (log.f64 2))
▶56.3%
(+.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 1/8)) (log.f64 2))
✓39.8%
(*.f64 (-.f64 1/2 y) x)
✓55.4%
(*.f64 y (neg.f64 x))
▶3.4%
(*.f64 x 1/2)
▶46.4%
(log.f64 2)
▶45.7%
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
✓82.8%
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
✓89.1%
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
✓99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓89.7%
(-.f64 (log.f64 2) (*.f64 x y))
▶59.2%
(+.f64 (*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y))) (log.f64 2))
✓46.8%
(+.f64 (*.f64 1/2 x) (log.f64 2))
▶56.3%
(+.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 1/8)) (log.f64 2))
✓39.8%
(*.f64 (-.f64 1/2 y) x)
✓55.4%
(*.f64 y (neg.f64 x))
▶3.4%
(*.f64 x 1/2)
▶46.4%
(log.f64 2)
▶45.7%
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
Compiler

Compiled 312 to 258 computations (17.3% saved)

localize218.0ms (3.1%)

Local Accuracy

Found 7 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(fma.f64 x 1/2 (log.f64 2))
✓99.5%
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
✓100.0%
(+.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 1/8)) (log.f64 2))
✓67.2%
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/8))
✓100.0%
(+.f64 (*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y))) (log.f64 2))
✓99.8%
(*.f64 x (sqrt.f64 (-.f64 1/2 y)))
✓99.7%
(*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))
Compiler

Compiled 107 to 84 computations (21.5% saved)

series9.0ms (0.1%)

Counts
7 → 112
Calls

30 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(*.f64 x (sqrt.f64 (-.f64 1/2 y)))
2.0ms
x
@-inf
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/8))
1.0ms
y
@-inf
(*.f64 x (sqrt.f64 (-.f64 1/2 y)))
0.0ms
x
@0
(*.f64 x (sqrt.f64 (-.f64 1/2 y)))
0.0ms
y
@0
(*.f64 x (sqrt.f64 (-.f64 1/2 y)))

rewrite123.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
1382×fma-def
748×expm1-udef
742×log1p-udef
484×fma-neg
436×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02399
147595
2557095
Stop Event
1×node limit
Counts
7 → 291
Calls
Call 1
Inputs
(*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))
(*.f64 x (sqrt.f64 (-.f64 1/2 y)))
(+.f64 (*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y))) (log.f64 2))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/8))
(+.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 1/8)) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
Outputs
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 x 1/2) (*.f64 (neg.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 1/2 y) 1/4))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.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 (neg.f64 y)))
(fma.f64 x 1/2 (*.f64 (neg.f64 y) x))
(fma.f64 x (pow.f64 1/8 1/3) (*.f64 x (neg.f64 y)))
(fma.f64 x (pow.f64 1/8 1/3) (*.f64 (neg.f64 y) x))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(fma.f64 (*.f64 x 1/2) 1 (*.f64 x (neg.f64 y)))
(fma.f64 (*.f64 x 1/2) 1 (*.f64 (neg.f64 y) x))
(fma.f64 1 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(fma.f64 1 (*.f64 x 1/2) (*.f64 (neg.f64 y) x))
(fma.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (*.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (*.f64 (neg.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (*.f64 (neg.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (*.f64 (neg.f64 y) x))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 (neg.f64 y) x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (*.f64 (neg.f64 y) x))
(fma.f64 (pow.f64 1/8 1/3) x (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 1/8 1/3) x (*.f64 (neg.f64 y) x))
(fma.f64 (pow.f64 1 1/3) (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 1 1/3) (*.f64 x 1/2) (*.f64 (neg.f64 y) x))
(fma.f64 (pow.f64 (*.f64 (*.f64 x x) 1/4) 1/3) (cbrt.f64 (*.f64 x 1/2)) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (*.f64 (*.f64 x x) 1/4) 1/3) (cbrt.f64 (*.f64 x 1/2)) (*.f64 (neg.f64 y) x))
(fma.f64 (pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/8)) 1/3) (pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/8)) 1/3) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/8)) 1/3) (pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/8)) 1/3) (*.f64 (neg.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))))) 1)
(pow.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y)))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y)))) 2)
(sqrt.f64 (*.f64 (-.f64 1/2 y) (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 3/2) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y)))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y)))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2))))
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2)) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 1/2))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))))
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(fma.f64 1 (log.f64 2) (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (log.f64 2))
(fma.f64 1 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) -1)
(fma.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (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 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (log.f64 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))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (log.f64 2))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1)) (cbrt.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1))) (cbrt.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1)) (sqrt.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1)) -1)
(fma.f64 (pow.f64 1/8 1/3) x (log.f64 2))
(fma.f64 (pow.f64 1 1/3) (*.f64 x 1/2) (log.f64 2))
(fma.f64 (pow.f64 (*.f64 (*.f64 x x) 1/4) 1/3) (cbrt.f64 (*.f64 x 1/2)) (log.f64 2))
(fma.f64 (pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/8)) 1/3) (pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/8)) 1/3) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(+.f64 (*.f64 x 1/2) (log.f64 2))
(+.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) -1)
(-.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) 1)
(-.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (fma.f64 x 1/2 (log.f64 1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x 1/2 (log.f64 1/2))))
(*.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(*.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)) (*.f64 (*.f64 x x) 1/4))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 x 1/2 (log.f64 1/2))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)) (*.f64 (*.f64 x x) 1/4)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)) (*.f64 (*.f64 x x) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (*.f64 x 1/2)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 x 1/2 (log.f64 1/2)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)) (*.f64 (*.f64 x x) 1/4))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 x 1/2 (log.f64 1/2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) 3) 1) (fma.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) (+.f64 1 (*.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) 1))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x x) 1/4)) (-.f64 (log.f64 2) (*.f64 x 1/2)))
(/.f64 (fma.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) -1) (+.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) 1))
(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 (pow.f64 (exp.f64 x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log.f64 2)))))
(log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 x 1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/2))) 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))))

simplify137.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
742×associate-/l*
628×cancel-sign-sub-inv
576×fma-neg
574×log-prod
534×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04239243
19709077
230409007
Stop Event
1×node limit
Counts
403 → 279
Calls
Call 1
Inputs
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 (sqrt.f64 1/2) x)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 y x) (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) x))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 y x) (sqrt.f64 1/2))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 (sqrt.f64 1/2) x)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 y x) (sqrt.f64 1/2))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 y 3) x) (pow.f64 (sqrt.f64 1/2) 5))) (*.f64 (sqrt.f64 1/2) x))))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 -1 (*.f64 x (cbrt.f64 -1/8)))
(*.f64 -1 (*.f64 x (cbrt.f64 -1/8)))
(*.f64 -1 (*.f64 x (cbrt.f64 -1/8)))
(*.f64 -1 (*.f64 x (cbrt.f64 -1/8)))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 -1 (*.f64 x (cbrt.f64 -1/8)))
(+.f64 (*.f64 -1 (*.f64 x (cbrt.f64 -1/8))) (log.f64 2))
(+.f64 (*.f64 -1 (*.f64 x (cbrt.f64 -1/8))) (log.f64 2))
(+.f64 (*.f64 -1 (*.f64 x (cbrt.f64 -1/8))) (log.f64 2))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 x 1/2) (*.f64 (neg.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 1/2 y) 1/4))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.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 (neg.f64 y)))
(fma.f64 x 1/2 (*.f64 (neg.f64 y) x))
(fma.f64 x (pow.f64 1/8 1/3) (*.f64 x (neg.f64 y)))
(fma.f64 x (pow.f64 1/8 1/3) (*.f64 (neg.f64 y) x))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(fma.f64 (*.f64 x 1/2) 1 (*.f64 x (neg.f64 y)))
(fma.f64 (*.f64 x 1/2) 1 (*.f64 (neg.f64 y) x))
(fma.f64 1 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(fma.f64 1 (*.f64 x 1/2) (*.f64 (neg.f64 y) x))
(fma.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (*.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (*.f64 (neg.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (*.f64 (neg.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (*.f64 (neg.f64 y) x))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 (neg.f64 y) x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (*.f64 (neg.f64 y) x))
(fma.f64 (pow.f64 1/8 1/3) x (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 1/8 1/3) x (*.f64 (neg.f64 y) x))
(fma.f64 (pow.f64 1 1/3) (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 1 1/3) (*.f64 x 1/2) (*.f64 (neg.f64 y) x))
(fma.f64 (pow.f64 (*.f64 (*.f64 x x) 1/4) 1/3) (cbrt.f64 (*.f64 x 1/2)) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (*.f64 (*.f64 x x) 1/4) 1/3) (cbrt.f64 (*.f64 x 1/2)) (*.f64 (neg.f64 y) x))
(fma.f64 (pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/8)) 1/3) (pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/8)) 1/3) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/8)) 1/3) (pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/8)) 1/3) (*.f64 (neg.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))))) 1)
(pow.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y)))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y)))) 2)
(sqrt.f64 (*.f64 (-.f64 1/2 y) (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 3/2) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y)))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y)))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2))))
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
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(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log.f64 2)))))
(log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 x 1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/2))) 2))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3))
(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 x (pow.f64 1/8 1/3) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 x 1/2))
(fma.f64 (*.f64 x 1/2) 1 (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 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) -1)
(fma.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (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 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (log.f64 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))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (log.f64 2))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1)) (cbrt.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1))) (cbrt.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1)) (sqrt.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1)) -1)
(fma.f64 (pow.f64 1/8 1/3) x (log.f64 2))
(fma.f64 (pow.f64 1 1/3) (*.f64 x 1/2) (log.f64 2))
(fma.f64 (pow.f64 (*.f64 (*.f64 x x) 1/4) 1/3) (cbrt.f64 (*.f64 x 1/2)) (log.f64 2))
(fma.f64 (pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/8)) 1/3) (pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/8)) 1/3) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(+.f64 (*.f64 x 1/2) (log.f64 2))
(+.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) -1)
(-.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) 1)
(-.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (fma.f64 x 1/2 (log.f64 1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x 1/2 (log.f64 1/2))))
(*.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(*.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)) (*.f64 (*.f64 x x) 1/4))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 x 1/2 (log.f64 1/2))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)) (*.f64 (*.f64 x x) 1/4)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)) (*.f64 (*.f64 x x) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (*.f64 x 1/2)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 x 1/2 (log.f64 1/2)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)) (*.f64 (*.f64 x x) 1/4))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 x 1/2 (log.f64 1/2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) 3) 1) (fma.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) (+.f64 1 (*.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) 1))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x x) 1/4)) (-.f64 (log.f64 2) (*.f64 x 1/2)))
(/.f64 (fma.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) -1) (+.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) 1))
(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 (pow.f64 (exp.f64 x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log.f64 2)))))
(log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 x 1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/2))) 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))))
Outputs
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 x (sqrt.f64 (-.f64 1/2 y)))
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 x (sqrt.f64 (-.f64 1/2 y)))
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 x (sqrt.f64 (-.f64 1/2 y)))
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 x (sqrt.f64 (-.f64 1/2 y)))
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 x (sqrt.f64 (-.f64 1/2 y)))
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 x (sqrt.f64 (-.f64 1/2 y)))
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 x (sqrt.f64 (-.f64 1/2 y)))
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 x (sqrt.f64 (-.f64 1/2 y)))
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 x (sqrt.f64 (-.f64 1/2 y)))
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 x (sqrt.f64 (-.f64 1/2 y)))
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 x (sqrt.f64 (-.f64 1/2 y)))
(*.f64 (sqrt.f64 (-.f64 1/2 y)) x)
(*.f64 x (sqrt.f64 (-.f64 1/2 y)))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 x (sqrt.f64 1/2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 y x) (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) x))
(fma.f64 -1/2 (/.f64 y (/.f64 (sqrt.f64 1/2) x)) (*.f64 x (sqrt.f64 1/2)))
(fma.f64 x (sqrt.f64 1/2) (/.f64 (*.f64 (*.f64 y x) -1/2) (sqrt.f64 1/2)))
(fma.f64 x (sqrt.f64 1/2) (/.f64 -1/2 (/.f64 (sqrt.f64 1/2) (*.f64 y x))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 y x) (sqrt.f64 1/2))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 (sqrt.f64 1/2) x)))
(fma.f64 -1/2 (/.f64 y (/.f64 (sqrt.f64 1/2) x)) (fma.f64 -1/8 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (sqrt.f64 1/2) 3) x)) (*.f64 x (sqrt.f64 1/2))))
(fma.f64 -1/2 (*.f64 (/.f64 y (sqrt.f64 1/2)) x) (fma.f64 x (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 (*.f64 x (*.f64 y y)) (sqrt.f64 1/2)))))
(fma.f64 -1/2 (*.f64 (/.f64 y (sqrt.f64 1/2)) x) (fma.f64 x (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 (*.f64 y y) (/.f64 (sqrt.f64 1/2) x)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 y x) (sqrt.f64 1/2))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 y 3) x) (pow.f64 (sqrt.f64 1/2) 5))) (*.f64 (sqrt.f64 1/2) x))))
(fma.f64 -1/2 (/.f64 y (/.f64 (sqrt.f64 1/2) x)) (fma.f64 -1/8 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (sqrt.f64 1/2) 3) x)) (fma.f64 -1/16 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (sqrt.f64 1/2) 5) x)) (*.f64 x (sqrt.f64 1/2)))))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 y (sqrt.f64 1/2)) x) (fma.f64 x (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 (*.f64 x (*.f64 y y)) (sqrt.f64 1/2))))) (*.f64 -1/16 (/.f64 x (/.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 y 3)))))
(+.f64 (fma.f64 x (sqrt.f64 1/2) (/.f64 (*.f64 x (pow.f64 y 3)) (/.f64 (pow.f64 (sqrt.f64 1/2) 5) -1/16))) (fma.f64 -1/2 (*.f64 (/.f64 y (sqrt.f64 1/2)) x) (*.f64 -1/4 (/.f64 (*.f64 y y) (/.f64 (sqrt.f64 1/2) x)))))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 -1 (*.f64 x (cbrt.f64 -1/8)))
(neg.f64 (*.f64 x (cbrt.f64 -1/8)))
(*.f64 x (neg.f64 (cbrt.f64 -1/8)))
(*.f64 -1 (*.f64 x (cbrt.f64 -1/8)))
(neg.f64 (*.f64 x (cbrt.f64 -1/8)))
(*.f64 x (neg.f64 (cbrt.f64 -1/8)))
(*.f64 -1 (*.f64 x (cbrt.f64 -1/8)))
(neg.f64 (*.f64 x (cbrt.f64 -1/8)))
(*.f64 x (neg.f64 (cbrt.f64 -1/8)))
(*.f64 -1 (*.f64 x (cbrt.f64 -1/8)))
(neg.f64 (*.f64 x (cbrt.f64 -1/8)))
(*.f64 x (neg.f64 (cbrt.f64 -1/8)))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(*.f64 -1 (*.f64 x (cbrt.f64 -1/8)))
(neg.f64 (*.f64 x (cbrt.f64 -1/8)))
(*.f64 x (neg.f64 (cbrt.f64 -1/8)))
(+.f64 (*.f64 -1 (*.f64 x (cbrt.f64 -1/8))) (log.f64 2))
(fma.f64 -1 (*.f64 x (cbrt.f64 -1/8)) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x (cbrt.f64 -1/8)))
(+.f64 (*.f64 -1 (*.f64 x (cbrt.f64 -1/8))) (log.f64 2))
(fma.f64 -1 (*.f64 x (cbrt.f64 -1/8)) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x (cbrt.f64 -1/8)))
(+.f64 (*.f64 -1 (*.f64 x (cbrt.f64 -1/8))) (log.f64 2))
(fma.f64 -1 (*.f64 x (cbrt.f64 -1/8)) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x (cbrt.f64 -1/8)))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
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(fma.f64 x (cbrt.f64 1/8) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 x 1/2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (*.f64 x 1/2) 1 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x 1/2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1 (*.f64 x 1/2) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) -1)
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 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 1/2 x (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 x 1/2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1)) (cbrt.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1))) (cbrt.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1)) -1)
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (sqrt.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1)) (sqrt.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1)) -1)
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (pow.f64 1/8 1/3) x (log.f64 2))
(fma.f64 x (cbrt.f64 1/8) (log.f64 2))
(fma.f64 (pow.f64 1 1/3) (*.f64 x 1/2) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (pow.f64 (*.f64 (*.f64 x x) 1/4) 1/3) (cbrt.f64 (*.f64 x 1/2)) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4))) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 (*.f64 x (*.f64 x 1/4))) (log.f64 2))
(fma.f64 (pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/8)) 1/3) (pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/8)) 1/3) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/8))) (cbrt.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/8))) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 x 1/2) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) -1)
(fma.f64 1/2 x (log.f64 2))
(-.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) 1)
(fma.f64 1/2 x (log.f64 2))
(-.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (fma.f64 x 1/2 (log.f64 1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x 1/2 (log.f64 1/2))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (fma.f64 x 1/2 (log.f64 1/2)))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (fma.f64 1/2 x (log.f64 1/2)))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (fma.f64 1/2 x (log.f64 1/2)))
(*.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(fma.f64 1/2 x (log.f64 2))
(*.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(fma.f64 1/2 x (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(fma.f64 1/2 x (log.f64 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))))
(fma.f64 1/2 x (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)) (*.f64 (*.f64 x x) 1/4))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x (*.f64 x 1/4)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)) (*.f64 1/4 (*.f64 x x))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)) (*.f64 x (*.f64 x 1/4))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 x 1/2 (log.f64 1/2))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (fma.f64 x 1/2 (log.f64 1/2)))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (fma.f64 1/2 x (log.f64 1/2)))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (fma.f64 1/2 x (log.f64 1/2)))
(/.f64 1 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)) (*.f64 (*.f64 x x) 1/4)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x (*.f64 x 1/4)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)) (*.f64 1/4 (*.f64 x x))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)) (*.f64 x (*.f64 x 1/4))))
(/.f64 1 (/.f64 (fma.f64 x 1/2 (log.f64 1/2)) (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (fma.f64 x 1/2 (log.f64 1/2)))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (fma.f64 1/2 x (log.f64 1/2)))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (fma.f64 1/2 x (log.f64 1/2)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)) (*.f64 (*.f64 x x) 1/4)))
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x (*.f64 x 1/4)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)) (*.f64 1/4 (*.f64 x x))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)) (*.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (*.f64 x 1/2)))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x (*.f64 x 1/4)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)) (*.f64 1/4 (*.f64 x x))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)) (*.f64 x (*.f64 x 1/4))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 x 1/2 (log.f64 1/2)))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (fma.f64 x 1/2 (log.f64 1/2)))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (fma.f64 1/2 x (log.f64 1/2)))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (fma.f64 1/2 x (log.f64 1/2)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)) (*.f64 (*.f64 x x) 1/4))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)) (*.f64 x (*.f64 x 1/4)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)) (*.f64 1/4 (*.f64 x x))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)) (*.f64 x (*.f64 x 1/4))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 x 1/2 (log.f64 1/2))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (fma.f64 x 1/2 (log.f64 1/2)))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (fma.f64 1/2 x (log.f64 1/2)))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (fma.f64 1/2 x (log.f64 1/2)))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) 3) 1) (fma.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) (+.f64 1 (*.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 3) -1) (fma.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) (+.f64 1 (fma.f64 1/2 x (log.f64 2))) (+.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 3)) (fma.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) (+.f64 1 (fma.f64 1/2 x (log.f64 2))) (+.f64 2 (fma.f64 1/2 x (log.f64 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 3)) (+.f64 1 (*.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) (+.f64 2 (fma.f64 1/2 x (log.f64 2))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x x) 1/4)) (-.f64 (log.f64 2) (*.f64 x 1/2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 x (*.f64 x 1/4))) (-.f64 (log.f64 2) (*.f64 1/2 x)))
(/.f64 (fma.f64 (log.f64 2) (log.f64 2) (*.f64 (*.f64 x x) -1/4)) (+.f64 (log.f64 2) (*.f64 x -1/2)))
(/.f64 (fma.f64 x (*.f64 x -1/4) (pow.f64 (log.f64 2) 2)) (+.f64 (log.f64 2) (*.f64 x -1/2)))
(/.f64 (fma.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) -1) (+.f64 (+.f64 (fma.f64 x 1/2 (log.f64 2)) 1) 1))
(/.f64 (fma.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) (+.f64 1 (fma.f64 1/2 x (log.f64 2))) -1) (+.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(/.f64 (*.f64 (+.f64 2 (fma.f64 1/2 x (log.f64 2))) (fma.f64 1/2 x (log.f64 2))) (+.f64 2 (fma.f64 1/2 x (log.f64 2))))
(pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 3)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) 1/3)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2)
(fma.f64 1/2 x (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))
(fma.f64 1/2 x (log.f64 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))
(fma.f64 1/2 x (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log.f64 2)))))
(fma.f64 1/2 x (log.f64 2))
(log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 x 1/2)))))
(fma.f64 1/2 x (log.f64 2))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/2))) 2))
(fma.f64 1/2 x (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3))
(fma.f64 1/2 x (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1))
(fma.f64 1/2 x (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))

eval121.0ms (1.7%)

Compiler

Compiled 4176 to 3260 computations (21.9% saved)

prune64.0ms (0.9%)

Pruning

12 alts after pruning (1 fresh and 11 done)

PrunedKeptTotal
New2781279
Fresh000
Picked145
Done077
Total27912291
Accurracy
99.7%
Counts
291 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓82.8%
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
✓89.1%
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
✓99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓89.7%
(-.f64 (log.f64 2) (*.f64 x y))
45.5%
(+.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) (sqrt.f64 (-.f64 1/2 y))) (log.f64 2))
✓46.8%
(+.f64 (*.f64 1/2 x) (log.f64 2))
✓56.3%
(+.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 1/8)) (log.f64 2))
✓39.8%
(*.f64 (-.f64 1/2 y) x)
✓55.4%
(*.f64 y (neg.f64 x))
✓3.4%
(*.f64 x 1/2)
✓46.4%
(log.f64 2)
✓45.7%
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
Compiler

Compiled 287 to 206 computations (28.2% saved)

regimes31.0ms (0.4%)

Counts
19 → 1
Calls
Call 1
Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))
(+.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 1/8)) (log.f64 2))
(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (log.f64 2))
(+.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) (sqrt.f64 (-.f64 1/2 y))) (log.f64 2))
(+.f64 (*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y))) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 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)))))
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Calls

3 calls:

10.0ms
x
9.0ms
y
7.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 195 to 129 computations (33.8% saved)

regimes33.0ms (0.5%)

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

2 calls:

18.0ms
y
13.0ms
x
Results
AccuracySegmentsBranch
99.3%2x
91.6%3y
Compiler

Compiled 66 to 47 computations (28.8% saved)

regimes12.0ms (0.2%)

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

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
99.2%2x
Compiler

Compiled 31 to 22 computations (29% saved)

regimes48.0ms (0.7%)

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

2 calls:

24.0ms
x
23.0ms
y
Results
AccuracySegmentsBranch
73.8%5y
89.4%5x
Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes8.0ms (0.1%)

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

2 calls:

3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
55.4%1y
55.4%1x
Compiler

Compiled 20 to 13 computations (35% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

6.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
3.4%1x
3.4%1y
Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch29.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
29.0ms
-62.072703499159026
-6.93430611054469e-16
Results
27.0ms160×body256valid
Compiler

Compiled 196 to 152 computations (22.4% saved)

bsearch27.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
27.0ms
-9352788.466429645
-62.072703499159026
Results
17.0ms129×body256valid
6.0ms8×body1024valid
2.0ms6×body512valid
1.0ms1×body2048valid
Compiler

Compiled 160 to 120 computations (25% saved)

bsearch72.0ms (1%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
4.745238068665057e-60
4.552873011613471e-57
10.0ms
2.4823604994603195e-109
4.106023396110857e-109
21.0ms
4.533580858230223e-150
2.9127850250931478e-142
21.0ms
-2.2540141874735093e-30
-3.89266710732719e-36
Results
65.0ms480×body256valid
Compiler

Compiled 397 to 333 computations (16.1% saved)

simplify10.0ms (0.1%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
040196
164196
280196
388194
491194
592194
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (*.f64 y (neg.f64 x)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -100) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -2454866031454251/2854495385411919762116571938898990272765493248) (*.f64 y (neg.f64 x)) (if (<=.f64 x 3569694783267917/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (log.f64 2) (if (<=.f64 x 1374996415083717/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (*.f64 (-.f64 1/2 y) x) (if (<=.f64 x 3957737425103581/14134776518227074636666380005943348126619871175004951664972849610340958208) (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))
(*.f64 y (neg.f64 x))
(*.f64 x 1/2)
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (*.f64 y (neg.f64 x)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -3152519739159347/2251799813685248) (*.f64 y (neg.f64 x)) (+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -100) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -2454866031454251/2854495385411919762116571938898990272765493248) (*.f64 y (neg.f64 x)) (if (<=.f64 x 3569694783267917/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (log.f64 2) (if (<=.f64 x 1374996415083717/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (*.f64 (-.f64 1/2 y) x) (if (<=.f64 x 3957737425103581/14134776518227074636666380005943348126619871175004951664972849610340958208) (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))
(if (<=.f64 x -2454866031454251/2854495385411919762116571938898990272765493248) (*.f64 y (neg.f64 x)) (if (<=.f64 x 3569694783267917/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (log.f64 2) (if (or (<=.f64 x 1374996415083717/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (not (<=.f64 x 3957737425103581/14134776518227074636666380005943348126619871175004951664972849610340958208))) (*.f64 x (-.f64 1/2 y)) (log.f64 2))))
(if (<=.f64 x -2454866031454251/2854495385411919762116571938898990272765493248) (*.f64 y (neg.f64 x)) (if (or (<=.f64 x 3569694783267917/13729595320261219429963801598162786434538870600286610818788926918371086366795312104245119281322909109954592622782961716074243975999433287625148056582230114304) (and (not (<=.f64 x 1374996415083717/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048)) (<=.f64 x 3957737425103581/14134776518227074636666380005943348126619871175004951664972849610340958208))) (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(*.f64 y (neg.f64 x))
(*.f64 x 1/2)
Compiler

Compiled 84 to 60 computations (28.6% saved)

soundness633.0ms (9%)

Rules
1934×pow1
1780×add-exp-log
1780×log1p-expm1-u
1780×expm1-log1p-u
1374×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121
12121
23221
35021
46921
510321
615721
720821
827621
935421
1041021
1143721
1251621
1374021
14165821
15479521
16577521
17726521
067014093
1175613251
01552172
13922052
216222052
370572052
0930
118730
2245830
068613961
1194612797
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 116 to 66 computations (43.1% saved)

end0.0ms (0%)

preprocess84.0ms (1.2%)

Compiler

Compiled 226 to 142 computations (37.2% saved)

Profiling

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