Details

Time bar (total: 9.5s)

analyze137.0ms (1.4%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
31.3%31.2%68.7%0.1%0%0%0%6
45.9%43.7%51.5%0.1%4.7%0%0%7
50.8%48.4%46.8%0.1%4.7%0%0%8
59.7%55.4%37.5%0.1%7%0%0%9
62.6%58.1%34.7%0.1%7%0%0%10
67.4%61.9%29.9%0.1%8.2%0%0%11
69%63.3%28.4%0.1%8.2%0%0%12
Compiler

Compiled 12 to 9 computations (25% saved)

sample3.8s (40.2%)

Results
2.3s2463×body8192exit
1.3s7768×body256valid
107.0ms230×body1024valid
70.0ms256×body512valid
23.0ms131×body256infinite
2.0ms2×body2048valid
Bogosity

preprocess80.0ms (0.8%)

Algorithm
2×egg-herbie
Rules
1194×associate-/r/
856×fma-def
832×unswap-sqr
784×*-commutative
694×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01642
13242
24542
37042
410042
517942
628042
736742
853042
974042
1082342
1186442
12101242
13155342
14329942
15602642
16731642
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x 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 y))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 y)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 y)))
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify77.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1042×associate-*l*
912×associate-/r*
776×fma-def
728×associate-/l*
628×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121
12121
23221
35121
46921
511321
618821
723821
832921
949021
1054421
1157121
1265021
1393121
14181521
15516721
16611021
Stop Event
1×node limit
Counts
1 → 2
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))

eval1.0ms (0%)

Compiler

Compiled 18 to 10 computations (44.4% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.5b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.5b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶0.5b
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 20 to 14 computations (30% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
✓0.9b
(log.f64 (+.f64 1 (exp.f64 x)))
Compiler

Compiled 28 to 14 computations (50% saved)

series51.0ms (0.5%)

Counts
2 → 28
Calls

9 calls:

TimeVariablePointExpression
23.0ms
x
@inf
(log.f64 (+.f64 1 (exp.f64 x)))
22.0ms
x
@-inf
(log.f64 (+.f64 1 (exp.f64 x)))
3.0ms
y
@0
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
1.0ms
x
@0
(log.f64 (+.f64 1 (exp.f64 x)))
0.0ms
x
@-inf
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

rewrite87.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1030×*-commutative
734×distribute-lft-in
722×distribute-rgt-in
686×associate-*r/
540×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01130
122630
2291430
Stop Event
1×node limit
Counts
2 → 167
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Outputs
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x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))))))

simplify136.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1258×+-commutative
1190×associate-+l-
1082×fma-def
826×associate-+r-
696×associate--r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042410599
111369469
259379469
Stop Event
1×node limit
Counts
195 → 254
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 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 (log1p.f64 (exp.f64 x)) 0)
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 1 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1) (*.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 1))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (log.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(-.f64 (+.f64 0 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (log.f64 (-.f64 1 (exp.f64 x))))
(-.f64 (+.f64 0 (log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (log.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))) 1)
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))))
(+.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
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(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 x y) 3) 3)) (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))))
(/.f64 (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 (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 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x (neg.f64 y)) (-.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x (neg.f64 y)) (-.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) 1) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) 1) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (*.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 x y) 2))) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 3) (pow.f64 (pow.f64 (*.f64 x y) 2) 3)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (*.f64 (pow.f64 (*.f64 x y) 2) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x y) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 x y) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) 1) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
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 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))
(neg.f64 (*.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 (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))
(neg.f64 (*.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 (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))
(neg.f64 (*.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 (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))
(neg.f64 (*.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 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(log1p.f64 (exp.f64 x))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 1 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1) (*.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 1))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))))
(*.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (log.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(log1p.f64 (exp.f64 x))
(-.f64 (+.f64 0 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (log.f64 (-.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
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(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 x y) 3) 3)) (*.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)) 6) (fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x y) 6)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) 1) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 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 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 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 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (-.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)))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(fabs.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓0.5b
(log1p.f64 (exp.f64 x))
Compiler

Compiled 19 to 6 computations (68.4% saved)

series2.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite65.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1950×add-sqr-sqrt
1934×*-un-lft-identity
1798×add-cube-cbrt
1778×add-cbrt-cube
194×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0930
118730
2242830
Stop Event
1×node limit
Counts
2 → 55
Calls
Call 1
Inputs
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))))))

simplify85.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1014×+-commutative
776×unswap-sqr
590×*-commutative
564×times-frac
560×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01572193
13962073
219552073
378442073
Stop Event
1×node limit
Counts
91 → 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 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (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 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (-.f64 (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)) 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 (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 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 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)) 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) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (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))))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
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 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 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 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 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 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(log1p.f64 (exp.f64 x))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(log1p.f64 (exp.f64 x))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(log1p.f64 (exp.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(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 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) 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 x (neg.f64 y)) 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 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.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 (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 x (neg.f64 y)) (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 (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 (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 (-.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 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 (*.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)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(/.f64 1 (/.f64 (+.f64 (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 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 (*.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)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (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 (-.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 (*.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)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 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 (neg.f64 y)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 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 (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 (*.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)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(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))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

eval82.0ms (0.9%)

Compiler

Compiled 7423 to 2453 computations (67% saved)

prune45.0ms (0.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New3268334
Fresh000
Picked101
Done101
Total3288336
Error
0.2b
Counts
336 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
12.4b
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
▶2.3b
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
▶1.9b
(-.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3) (*.f64 x y))
7.7b
(-.f64 (log.f64 2) (*.f64 x y))
▶12.4b
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶31.2b
(*.f64 x (neg.f64 y))
31.5b
(log1p.f64 (exp.f64 x))
▶31.5b
(log.f64 (+.f64 1 (exp.f64 x)))
Compiler

Compiled 142 to 110 computations (22.5% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3) (*.f64 x y))
✓0.7b
(*.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3)
✓0.7b
(log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))
✓0.9b
(cbrt.f64 (+.f64 1 (exp.f64 x)))
Compiler

Compiled 46 to 28 computations (39.1% saved)

series122.0ms (1.3%)

Counts
4 → 60
Calls

15 calls:

TimeVariablePointExpression
49.0ms
x
@inf
(log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))
34.0ms
x
@-inf
(log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))
29.0ms
y
@0
(-.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3) (*.f64 x y))
2.0ms
x
@inf
(cbrt.f64 (+.f64 1 (exp.f64 x)))
2.0ms
x
@0
(cbrt.f64 (+.f64 1 (exp.f64 x)))

rewrite125.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1080×distribute-lft-in
890×associate-*r/
744×associate-*l/
402×associate-+l+
294×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01496
128860
2367760
Stop Event
1×node limit
Counts
4 → 301
Calls
Call 1
Inputs
(cbrt.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(-.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3) (*.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1/3) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (cbrt.f64 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (cbrt.f64 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (cbrt.f64 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) 1) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) 1) (cbrt.f64 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 1/3 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))))))
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simplify137.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
856×associate-*r*
840×associate-+l+
778×associate-+r+
730×+-commutative
658×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
074918287
1202116171
Stop Event
1×node limit
Counts
361 → 414
Calls
Call 1
Inputs
(cbrt.f64 2)
(+.f64 (cbrt.f64 2) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) x)))
(+.f64 (cbrt.f64 2) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) x)) (*.f64 1/3 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 2) 2)))))
(+.f64 (cbrt.f64 2) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) x)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 2) 2))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 1/6 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) (-.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3))))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 2) 2))))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(log.f64 (cbrt.f64 2))
(+.f64 (log.f64 (cbrt.f64 2)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) x)))
(+.f64 (log.f64 (cbrt.f64 2)) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10)) 1/3)) (*.f64 1/3 (-.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3))))) (pow.f64 x 2))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) x))))
(+.f64 (log.f64 (cbrt.f64 2)) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10)) 1/3)) (*.f64 1/3 (-.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3))))) (pow.f64 x 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) x)) (*.f64 1/6 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 14)) 1/3) (-.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3)))))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) (-.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3)))))) (pow.f64 x 3))))))
(log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3))
(log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3))
(log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3))
(log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3))
(log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3))
(log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3))
(log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3))
(log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3))
(*.f64 3 (log.f64 (cbrt.f64 2)))
(+.f64 (*.f64 3 (log.f64 (cbrt.f64 2))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) x))
(+.f64 (*.f64 3/2 (*.f64 (+.f64 (*.f64 1/3 (-.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3)))) (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10)) 1/3))) (pow.f64 x 2))) (+.f64 (*.f64 3 (log.f64 (cbrt.f64 2))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) x)))
(+.f64 (*.f64 3/2 (*.f64 (+.f64 (*.f64 1/3 (-.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3)))) (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10)) 1/3))) (pow.f64 x 2))) (+.f64 (*.f64 3 (log.f64 (cbrt.f64 2))) (+.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) x) (*.f64 1/2 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 14)) 1/3) (-.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3)))))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) (-.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3)))))) (pow.f64 x 3))))))
(*.f64 3 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3)))
(*.f64 3 (log.f64 (cbrt.f64 2)))
(+.f64 (*.f64 (-.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) y) x) (*.f64 3 (log.f64 (cbrt.f64 2))))
(+.f64 (*.f64 (-.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) y) x) (+.f64 (*.f64 3 (log.f64 (cbrt.f64 2))) (*.f64 3/2 (*.f64 (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10)) 1/3)) (*.f64 1/3 (-.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3))))) (pow.f64 x 2)))))
(+.f64 (*.f64 (-.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) y) x) (+.f64 (*.f64 3 (log.f64 (cbrt.f64 2))) (+.f64 (*.f64 3/2 (*.f64 (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10)) 1/3)) (*.f64 1/3 (-.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3))))) (pow.f64 x 2))) (*.f64 1/2 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 14)) 1/3) (-.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3)))))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) (-.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3)))))) (pow.f64 x 3))))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 3 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 3 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 3 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 3 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 3 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 3 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3))) (*.f64 -1 (*.f64 y x)))
(*.f64 3 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3)))
(+.f64 (*.f64 3 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 3 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 3 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 3 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 3 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 3 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 3 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 3 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 3 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3))) (*.f64 -1 (*.f64 y x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))) 1)
(*.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1/3) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (cbrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (*.f64 1 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (*.f64 1 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (cbrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (cbrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) 1) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) 1) (cbrt.f64 (-.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(pow.f64 (E.f64) (*.f64 1/3 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(exp.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) 0)
(+.f64 0 (*.f64 1/3 (log1p.f64 (exp.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)) (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)))
(+.f64 (log.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2))) (log.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))) (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))) (*.f64 1 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))))
(+.f64 (*.f64 1/3 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 1/3 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (*.f64 1/3 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))) (*.f64 1/3 (*.f64 1/3 (log1p.f64 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x)))))) 1)
(*.f64 1 (*.f64 1/3 (log1p.f64 (exp.f64 x))))
(*.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) 1)
(*.f64 (sqrt.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x)))))
(*.f64 1/3 (log1p.f64 (exp.f64 x)))
(*.f64 2 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)))
(pow.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) 1)
(pow.f64 (sqrt.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) 2))
(cbrt.f64 (pow.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x)))))
(+.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)))
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (*.f64 1/3 (log1p.f64 (exp.f64 x))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))) (*.f64 1/3 (log1p.f64 (exp.f64 x))))
(+.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) 0) (*.f64 1/3 (log1p.f64 (exp.f64 x))))
(+.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2))) (log.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))) (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6)))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 1 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))) (*.f64 1/3 (log1p.f64 (exp.f64 x))))
(+.f64 (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2))) (*.f64 3 (log.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))))
(+.f64 (*.f64 3 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))) (*.f64 3 (log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (log.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (log.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(-.f64 (+.f64 0 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (log.f64 (-.f64 1 (exp.f64 x))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))) 1)
(-.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (exp.f64 (log1p.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x)))))) 1)
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
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(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))) 1) (-.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (fma.f64 (neg.f64 y) x (*.f64 x y)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) (pow.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 3)) 1) (-.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))) (*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) 1) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) 1) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (*.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 x y) 2))) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 3) (pow.f64 (pow.f64 (*.f64 x y) 2) 3)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (+.f64 (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (*.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 x y) 2))) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x y) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 x y) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (+.f64 (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x y) 3))) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) 1) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(fma.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) 3 (*.f64 x (neg.f64 y)))
(fma.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
Outputs
(cbrt.f64 2)
(+.f64 (cbrt.f64 2) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) x)))
(+.f64 (cbrt.f64 2) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) x)))
(+.f64 (cbrt.f64 2) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) x)) (*.f64 1/3 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 2) 2)))))
(+.f64 (cbrt.f64 2) (*.f64 1/3 (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) x) (/.f64 (-.f64 1/2 (*.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 2))))) (/.f64 (pow.f64 (cbrt.f64 2) 2) (*.f64 x x))))))
(+.f64 (cbrt.f64 2) (*.f64 1/3 (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) x) (*.f64 (/.f64 (+.f64 1/2 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) -1/3)) (pow.f64 (cbrt.f64 2) 2)) (*.f64 x x)))))
(+.f64 (cbrt.f64 2) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) x)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 2) 2))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 1/6 (+.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) (-.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3))))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 2) 2))))))
(+.f64 (cbrt.f64 2) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) x) (*.f64 1/3 (+.f64 (/.f64 (-.f64 1/2 (*.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 2))))) (/.f64 (pow.f64 (cbrt.f64 2) 2) (*.f64 x x))) (/.f64 (-.f64 1/6 (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 2) 2)) (*.f64 2/3 (*.f64 (-.f64 1/2 (*.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 2))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5))))))) (/.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 x 3)))))))
(+.f64 (cbrt.f64 2) (*.f64 1/3 (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) x) (+.f64 (*.f64 (/.f64 (+.f64 1/2 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) -1/3)) (pow.f64 (cbrt.f64 2) 2)) (*.f64 x x)) (*.f64 (/.f64 (+.f64 (-.f64 1/6 (/.f64 1/27 (pow.f64 (cbrt.f64 2) 2))) (*.f64 (*.f64 -2/3 (+.f64 1/2 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) -1/3))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5))))) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 x 3))))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(cbrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(cbrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(cbrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(cbrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(cbrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(cbrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(cbrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(cbrt.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (cbrt.f64 2))
(+.f64 (log.f64 (cbrt.f64 2)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) x)))
(+.f64 (log.f64 (cbrt.f64 2)) (*.f64 1/3 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5))))))
(+.f64 (log.f64 (cbrt.f64 2)) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10)) 1/3)) (*.f64 1/3 (-.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3))))) (pow.f64 x 2))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) x))))
(+.f64 (log.f64 (cbrt.f64 2)) (fma.f64 1/2 (*.f64 (*.f64 x x) (fma.f64 1/3 (-.f64 1/2 (*.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 2))))) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10)))))) (*.f64 1/3 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)))))))
(+.f64 (log.f64 (cbrt.f64 2)) (fma.f64 1/2 (*.f64 x (*.f64 x (fma.f64 1/3 (+.f64 1/2 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) -1/3)) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10))))))) (*.f64 1/3 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)))))))
(+.f64 (log.f64 (cbrt.f64 2)) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10)) 1/3)) (*.f64 1/3 (-.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3))))) (pow.f64 x 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) x)) (*.f64 1/6 (*.f64 (-.f64 (+.f64 1/6 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 14)) 1/3) (-.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3)))))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) (-.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3)))))) (pow.f64 x 3))))))
(+.f64 (log.f64 (cbrt.f64 2)) (fma.f64 1/2 (*.f64 (*.f64 x x) (fma.f64 1/3 (-.f64 1/2 (*.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 2))))) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10)))))) (fma.f64 1/3 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)))) (*.f64 1/6 (*.f64 (pow.f64 x 3) (+.f64 1/6 (-.f64 (*.f64 -2/3 (*.f64 (-.f64 1/2 (*.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 2))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 14))))) (*.f64 2/3 (*.f64 (-.f64 1/2 (*.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 2))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5))))))))))))
(+.f64 (log.f64 (cbrt.f64 2)) (fma.f64 1/2 (*.f64 x (*.f64 x (fma.f64 1/3 (+.f64 1/2 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) -1/3)) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10))))))) (fma.f64 1/3 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)))) (*.f64 (pow.f64 x 3) (+.f64 1/36 (*.f64 (*.f64 (+.f64 1/2 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) -1/3)) (-.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 14)))) (*.f64 2/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)))))) 1/6))))))
(log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3))
(*.f64 1/3 (log1p.f64 (exp.f64 x)))
(log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3))
(*.f64 1/3 (log1p.f64 (exp.f64 x)))
(log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3))
(*.f64 1/3 (log1p.f64 (exp.f64 x)))
(log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3))
(*.f64 1/3 (log1p.f64 (exp.f64 x)))
(log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3))
(*.f64 1/3 (log1p.f64 (exp.f64 x)))
(log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3))
(*.f64 1/3 (log1p.f64 (exp.f64 x)))
(log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3))
(*.f64 1/3 (log1p.f64 (exp.f64 x)))
(log.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/3))
(*.f64 1/3 (log1p.f64 (exp.f64 x)))
(*.f64 3 (log.f64 (cbrt.f64 2)))
(+.f64 (*.f64 3 (log.f64 (cbrt.f64 2))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) x))
(fma.f64 3 (log.f64 (cbrt.f64 2)) (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)))))
(+.f64 (*.f64 3/2 (*.f64 (+.f64 (*.f64 1/3 (-.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3)))) (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10)) 1/3))) (pow.f64 x 2))) (+.f64 (*.f64 3 (log.f64 (cbrt.f64 2))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) x)))
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(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 x y) 3) 3)) (*.f64 (+.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)) 6) (pow.f64 (*.f64 x y) 6)) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 x y) 3) 3)) (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (+.f64 (pow.f64 (*.f64 x y) 6) (*.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)) 2) (pow.f64 (*.f64 x y) 2)) 1) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(fma.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 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 (*.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 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.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 x (*.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(fma.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(fma.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(fma.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.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)
(fma.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(fabs.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(fma.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(fma.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 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))
(fma.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(fma.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 x (neg.f64 y) (fma.f64 x y (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (*.f64 0 (*.f64 x y))))
(fma.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) 3 (*.f64 x (neg.f64 y)))
(fma.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 x (neg.f64 y) (fma.f64 x y (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (*.f64 0 (*.f64 x y))))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 x (neg.f64 y) (fma.f64 x y (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (*.f64 0 (*.f64 x y))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

localize4.0ms (0%)

Compiler

Compiled 10 to 4 computations (60% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (-.f64 1/2 y) x)
✓0.0b
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
Compiler

Compiled 24 to 17 computations (29.2% saved)

series7.0ms (0.1%)

Counts
2 → 27
Calls

12 calls:

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

rewrite86.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1034×*-commutative
898×associate-*r/
732×associate-*l/
606×swap-sqr
572×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01132
123832
2304632
Stop Event
1×node limit
Counts
2 → 121
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (-.f64 1 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (exp.f64 (log1p.f64 (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 2) (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (#(struct:change 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3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))))))

simplify93.0ms (1%)

Algorithm
1×egg-herbie
Rules
1094×associate-/l/
968×associate-/r/
556×associate-/l*
512×+-commutative
466×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03437606
19696680
242036680
Stop Event
1×node limit
Counts
148 → 201
Calls
Call 1
Inputs
(+.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)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (*.f64 (-.f64 1/2 y) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (-.f64 1 (log.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (exp.f64 (log1p.f64 (log.f64 2)))) 1)
(-.f64 (+.f64 (log.f64 2) (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))) 1)
(*.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(*.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
(*.f64 (/.f64 1 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (-.f64 (*.f64 (*.f64 (-.f64 1/2 y) x) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (*.f64 (pow.f64 (log.f64 2) 2) (*.f64 (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) 3) (pow.f64 (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))) 3))) (+.f64 (*.f64 (*.f64 (-.f64 1/2 y) x) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (*.f64 (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))) (-.f64 (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))))
(/.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) (/.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(/.f64 1 (/.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))) (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))) (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (/.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)))) (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))) (/.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (*.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 2) 3))) (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 1/2 y) x) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (*.f64 (log.f64 2) (pow.f64 (log.f64 2) 3))) (*.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) (+.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 3) (pow.f64 (pow.f64 (log.f64 2) 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))) (+.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (*.f64 (pow.f64 (log.f64 2) 3) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) 3) (pow.f64 (pow.f64 (log.f64 2) 2) 3)) (*.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) (+.f64 (*.f64 (*.f64 (-.f64 1/2 y) x) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (*.f64 (pow.f64 (log.f64 2) 2) (+.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))) (sqrt.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))) (cbrt.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) 1) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) 1) (neg.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) 1) (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (sqrt.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)) (cbrt.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 1/2 y) x) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (*.f64 (log.f64 2) (pow.f64 (log.f64 2) 3))) (/.f64 1 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) 3) (pow.f64 (pow.f64 (log.f64 2) 2) 3)) (/.f64 1 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))) (+.f64 (*.f64 (*.f64 (-.f64 1/2 y) x) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (*.f64 (pow.f64 (log.f64 2) 2) (+.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (*.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 2) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 3) (pow.f64 (pow.f64 (log.f64 2) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))) (+.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (*.f64 (pow.f64 (log.f64 2) 3) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) 1) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (sqrt.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))) (sqrt.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) (cbrt.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))) (cbrt.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))) (-.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (log.f64 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) 1) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
(pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (neg.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 (-.f64 1/2 y)) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.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))
(fma.f64 1 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(+.f64 (*.f64 1/2 x) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 1/2 x))
(+.f64 (*.f64 1 (*.f64 1/2 x)) (*.f64 1 (*.f64 x (neg.f64 y))))
(+.f64 (*.f64 (*.f64 1/2 x) 1) (*.f64 (*.f64 x (neg.f64 y)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(/.f64 (-.f64 1/8 (pow.f64 y 3)) (/.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y))) x))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 (neg.f64 y) 3))) (+.f64 1/4 (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) 1/2))))
(/.f64 (*.f64 x (+.f64 -1/4 (*.f64 y y))) (neg.f64 (+.f64 1/2 y)))
(/.f64 (*.f64 x (neg.f64 (-.f64 1/8 (pow.f64 y 3)))) (+.f64 -1/4 (neg.f64 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (*.f64 1 (*.f64 x (-.f64 1/4 (*.f64 y y)))) (+.f64 1/2 y))
(/.f64 (*.f64 1 (*.f64 x (-.f64 1/8 (pow.f64 y 3)))) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/8 (pow.f64 y 3)))) (sqrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/4 (*.f64 y y)))) (sqrt.f64 (+.f64 1/2 y)))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/8 (pow.f64 y 3)))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))) (cbrt.f64 (+.f64 1/2 y)))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 (neg.f64 y) 3)) x) (+.f64 1/4 (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) 1/2))))
(/.f64 (*.f64 (+.f64 -1/4 (*.f64 y y)) x) (neg.f64 (+.f64 1/2 y)))
(/.f64 (*.f64 (neg.f64 (-.f64 1/8 (pow.f64 y 3))) x) (+.f64 -1/4 (neg.f64 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (*.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 1) (+.f64 1/2 y))
(/.f64 (*.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) 1) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/8 (pow.f64 y 3))) (*.f64 x (sqrt.f64 (-.f64 1/2 y)))) (sqrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (*.f64 x (sqrt.f64 (-.f64 1/2 y)))) (sqrt.f64 (+.f64 1/2 y)))
(/.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 1) (+.f64 1/2 y))
(/.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (sqrt.f64 (+.f64 1/2 y))) (sqrt.f64 (+.f64 1/2 y)))
(/.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (*.f64 (cbrt.f64 (+.f64 1/2 y)) (cbrt.f64 (+.f64 1/2 y)))) (cbrt.f64 (+.f64 1/2 y)))
(/.f64 (/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) 1) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(/.f64 (/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (sqrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))) (sqrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(pow.f64 (*.f64 (-.f64 1/2 y) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
(exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))
Outputs
(+.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))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(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 1/2 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 x (neg.f64 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 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 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 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(-.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (*.f64 (-.f64 1/2 y) x)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 2))) 1) (*.f64 x (-.f64 1/2 y)))
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(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (/.f64 (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))) (cbrt.f64 (-.f64 1/8 (pow.f64 y 3)))))
(*.f64 (/.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (fma.f64 y (+.f64 1/2 y) 1/4))) (cbrt.f64 (-.f64 1/8 (pow.f64 y 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (/.f64 (cbrt.f64 (fma.f64 y (+.f64 1/2 y) 1/4)) (cbrt.f64 (-.f64 1/8 (pow.f64 y 3))))) x)
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))) (cbrt.f64 (+.f64 1/2 y)))
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (/.f64 (cbrt.f64 (+.f64 1/2 y)) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))))
(/.f64 x (/.f64 (/.f64 (cbrt.f64 (+.f64 1/2 y)) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))) (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))
(*.f64 (/.f64 x (cbrt.f64 (+.f64 1/2 y))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 (neg.f64 y) 3)) x) (+.f64 1/4 (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) 1/2))))
(*.f64 (/.f64 (-.f64 1/8 (pow.f64 y 3)) (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))) x)
(*.f64 x (/.f64 (-.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 1/2 y) 1/4)))
(/.f64 (*.f64 (+.f64 -1/4 (*.f64 y y)) x) (neg.f64 (+.f64 1/2 y)))
(/.f64 (+.f64 (*.f64 y y) -1/4) (/.f64 (+.f64 -1/2 (neg.f64 y)) x))
(*.f64 (/.f64 x (-.f64 -1/2 y)) (fma.f64 y y -1/4))
(/.f64 (*.f64 (neg.f64 (-.f64 1/8 (pow.f64 y 3))) x) (+.f64 -1/4 (neg.f64 (*.f64 y (+.f64 1/2 y)))))
(/.f64 x (/.f64 (-.f64 -1/4 (*.f64 y (+.f64 1/2 y))) (neg.f64 (-.f64 1/8 (pow.f64 y 3)))))
(*.f64 (/.f64 (+.f64 -1/8 (pow.f64 y 3)) (fma.f64 y (-.f64 -1/2 y) -1/4)) x)
(*.f64 (/.f64 (+.f64 (pow.f64 y 3) -1/8) (fma.f64 y (-.f64 -1/2 y) -1/4)) x)
(/.f64 (*.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 1) (+.f64 1/2 y))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(/.f64 (*.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) 1) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(*.f64 (/.f64 (-.f64 1/8 (pow.f64 y 3)) (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))) x)
(*.f64 x (/.f64 (-.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 1/2 y) 1/4)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/8 (pow.f64 y 3))) (*.f64 x (sqrt.f64 (-.f64 1/2 y)))) (sqrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/8 (pow.f64 y 3)))) (sqrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (fma.f64 y (+.f64 1/2 y) 1/4))) (sqrt.f64 (-.f64 1/8 (pow.f64 y 3))))
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 y (+.f64 1/2 y) 1/4))) (*.f64 (sqrt.f64 (-.f64 1/2 y)) (sqrt.f64 (-.f64 1/8 (pow.f64 y 3)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (*.f64 x (sqrt.f64 (-.f64 1/2 y)))) (sqrt.f64 (+.f64 1/2 y)))
(/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (/.f64 (sqrt.f64 (+.f64 1/2 y)) (*.f64 x (sqrt.f64 (-.f64 1/2 y)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y 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))) (sqrt.f64 (-.f64 1/4 (*.f64 y y))))
(/.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 1) (+.f64 1/2 y))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(/.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (sqrt.f64 (+.f64 1/2 y))) (sqrt.f64 (+.f64 1/2 y)))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(/.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (*.f64 (cbrt.f64 (+.f64 1/2 y)) (cbrt.f64 (+.f64 1/2 y)))) (cbrt.f64 (+.f64 1/2 y)))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(/.f64 (/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) 1) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(*.f64 (/.f64 (-.f64 1/8 (pow.f64 y 3)) (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))) x)
(*.f64 x (/.f64 (-.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 1/2 y) 1/4)))
(/.f64 (/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (sqrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))) (sqrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(*.f64 (/.f64 (-.f64 1/8 (pow.f64 y 3)) (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))) x)
(*.f64 x (/.f64 (-.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 1/2 y) 1/4)))
(/.f64 (/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(*.f64 (/.f64 (-.f64 1/8 (pow.f64 y 3)) (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))) x)
(*.f64 x (/.f64 (-.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 1/2 y) 1/4)))
(pow.f64 (*.f64 (-.f64 1/2 y) x) 1)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/3)
(*.f64 x (-.f64 1/2 y))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))
(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 (-.f64 1/2 y)) x))
(*.f64 x (-.f64 1/2 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))
(*.f64 x (-.f64 1/2 y))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))
(*.f64 x (-.f64 1/2 y))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 x (-.f64 1/2 y))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 x (-.f64 1/2 y))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.9b
(log.f64 (+.f64 1 (exp.f64 x)))
Compiler

Compiled 15 to 9 computations (40% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.5b
(log1p.f64 (exp.f64 x))
✓0.9b
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
✓1.1b
(cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
Compiler

Compiled 38 to 10 computations (73.7% saved)

series14.0ms (0.2%)

Counts
2 → 16
Calls

12 calls:

TimeVariablePointExpression
3.0ms
y
@0
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
3.0ms
x
@0
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
2.0ms
x
@0
(cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
1.0ms
y
@0
(cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
1.0ms
x
@inf
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)

rewrite97.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
986×*-commutative
904×unswap-sqr
620×swap-sqr
548×distribute-lft-in
538×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01246
125346
2294146
Stop Event
1×node limit
Counts
2 → 206
Calls
Call 1
Inputs
(cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
Outputs
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simplify143.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1320×associate-*r*
1020×associate-*l*
740×*-commutative
716×associate-+l+
612×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066618634
1200517906
Stop Event
1×node limit
Counts
222 → 340
Calls
Call 1
Inputs
(pow.f64 (log.f64 2) 1/3)
(+.f64 (pow.f64 (log.f64 2) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 (-.f64 1/2 y) x))))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (*.f64 (-.f64 1/8 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2)))) (pow.f64 x 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 (-.f64 1/2 y) x)))))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (*.f64 (-.f64 1/2 y) (-.f64 1/8 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2))))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 (-.f64 1/2 y) 3)))) (pow.f64 x 3)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (*.f64 (-.f64 1/8 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2)))) (pow.f64 x 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 (-.f64 1/2 y) x))))))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
(+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/9) (*.f64 y x))))
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(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x y) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 x y) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) 1) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
Outputs
(pow.f64 (log.f64 2) 1/3)
(cbrt.f64 (log.f64 2))
(+.f64 (pow.f64 (log.f64 2) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 (-.f64 1/2 y) x))))
(+.f64 (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (*.f64 (-.f64 1/2 y) x))) (cbrt.f64 (log.f64 2)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (*.f64 (-.f64 1/2 y) x)))) (cbrt.f64 (log.f64 2)))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (*.f64 (-.f64 1/8 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2)))) (pow.f64 x 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 (-.f64 1/2 y) x)))))
(+.f64 (*.f64 1/3 (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (*.f64 (-.f64 1/8 (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (-.f64 1/2 y) 2)))) (*.f64 x x))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (*.f64 (-.f64 1/2 y) x)))) (cbrt.f64 (log.f64 2)))
(+.f64 (*.f64 1/3 (+.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (*.f64 (-.f64 1/2 y) x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (*.f64 (+.f64 1/8 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (-.f64 1/2 y) 2)) -1/3)) (*.f64 x x))))) (cbrt.f64 (log.f64 2)))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (*.f64 (-.f64 1/2 y) (-.f64 1/8 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2))))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 (-.f64 1/2 y) 3)))) (pow.f64 x 3)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (*.f64 (-.f64 1/8 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2)))) (pow.f64 x 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 (-.f64 1/2 y) x))))))
(+.f64 (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (*.f64 (fma.f64 2/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18)) (*.f64 (-.f64 1/2 y) (-.f64 1/8 (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (-.f64 1/2 y) 2)))))) (*.f64 1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 (-.f64 1/2 y) 3)))) (pow.f64 x 3))) (*.f64 1/3 (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (*.f64 (-.f64 1/8 (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (-.f64 1/2 y) 2)))) (*.f64 x x))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (*.f64 (-.f64 1/2 y) x))))) (cbrt.f64 (log.f64 2)))
(+.f64 (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (*.f64 (fma.f64 2/3 (*.f64 (-.f64 1/2 y) (*.f64 (+.f64 1/8 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (-.f64 1/2 y) 2)) -1/3)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (*.f64 (pow.f64 (-.f64 1/2 y) 3) 1/27))) (pow.f64 x 3))) (*.f64 1/3 (+.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (*.f64 (-.f64 1/2 y) x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (*.f64 (+.f64 1/8 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (-.f64 1/2 y) 2)) -1/3)) (*.f64 x x)))))) (cbrt.f64 (log.f64 2)))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3)
(cbrt.f64 (log1p.f64 (exp.f64 x)))
(+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/9) (*.f64 y x))))
(+.f64 (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/18)) (*.f64 y x))) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(+.f64 (*.f64 -1/3 (*.f64 y (*.f64 (*.f64 x (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/18)))) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/9) (*.f64 y x))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 7)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 (fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/18)) (*.f64 y x)) (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 7)) 1/18)) (*.f64 (*.f64 x x) (*.f64 y y))))) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(+.f64 (fma.f64 -1/3 (*.f64 y (*.f64 (*.f64 x (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/18))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 7)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 7)) 1/18) (pow.f64 (*.f64 y x) 2))))) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/3) (pow.f64 x 3))) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/3) (pow.f64 x 3))))) (pow.f64 y 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/3))) (+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/9) (*.f64 y x))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 7)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))))
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (*.f64 (fma.f64 -1/27 (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) (*.f64 2/9 (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))) (pow.f64 y 3))) (+.f64 (fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/18)) (*.f64 y x)) (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 7)) 1/18)) (*.f64 (*.f64 x x) (*.f64 y y))))) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (*.f64 (*.f64 (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) 5/27) (pow.f64 y 3))) (+.f64 (fma.f64 -1/3 (*.f64 y (*.f64 (*.f64 x (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1/18))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 7)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 7)) 1/18) (pow.f64 (*.f64 y x) 2))))) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (pow.f64 1 1/3) (log.f64 2))
(log.f64 2)
(+.f64 (*.f64 (pow.f64 1 1/3) (log.f64 2)) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (-.f64 1/2 y))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (-.f64 1/2 y)))) x))
(+.f64 (log.f64 2) (*.f64 x (*.f64 (*.f64 (-.f64 1/2 y) (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18))) 1)))
(+.f64 (log.f64 2) (*.f64 x (*.f64 (-.f64 1/2 y) (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)))))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (pow.f64 (-.f64 1/2 y) 2))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 1/8 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2)))))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (pow.f64 (-.f64 1/2 y) 2))))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 1 1/3) (log.f64 2)) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (-.f64 1/2 y))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9) (-.f64 1/2 y)))) x)))
(fma.f64 (fma.f64 (cbrt.f64 (log.f64 2)) (fma.f64 2/3 (*.f64 (-.f64 1/8 (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (-.f64 1/2 y) 2)))) (cbrt.f64 (/.f64 1 (log.f64 2)))) (*.f64 1/9 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18))))) (+.f64 (*.f64 1/3 (-.f64 1/8 (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (-.f64 1/2 y) 2))))) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) (pow.f64 (-.f64 1/2 y) 2)) 2/9))) (*.f64 x x) (+.f64 (log.f64 2) (*.f64 x (*.f64 (*.f64 (-.f64 1/2 y) (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18))) 1))))
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(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(+.f64 (*.f64 y (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 4)) 1/9) x)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 4)) 1/9) x)))) (*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 1 (exp.f64 x)))))
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(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) (/.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 y x) 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 y x) 2))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
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(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 3) (pow.f64 (pow.f64 (*.f64 y x) 2) 3)) (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) (fma.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (log1p.f64 (exp.f64 x)) 3) (*.f64 (pow.f64 (*.f64 y x) 2) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 y x) 2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (*.f64 y x) 6)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) (+.f64 (pow.f64 (*.f64 y x) 4) (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 y x) 2)) (pow.f64 (log1p.f64 (exp.f64 x)) 4))))
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(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (*.f64 y x) 6)) (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 y x) 3))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (pow.f64 (*.f64 y x) 6)) (*.f64 (+.f64 (*.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) (pow.f64 (*.f64 y x) 2)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 y x) 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 x y) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 y x) 3) 3)) (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (*.f64 (pow.f64 (*.f64 y x) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 y x) 3))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 y x) 3) 3)) (+.f64 (*.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) (pow.f64 (*.f64 y x) 2))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (*.f64 (pow.f64 (*.f64 y x) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 y x) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) 1) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 y x) 2)) (*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 y x) 2)) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))))))
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 y x) 2)) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 y x) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 y x) 3)) (+.f64 (*.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) (pow.f64 (*.f64 y x) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 y x) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 y x) 3)) (sqrt.f64 (+.f64 (*.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) (pow.f64 (*.f64 y x) 2)))) (sqrt.f64 (+.f64 (*.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) (pow.f64 (*.f64 y x) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 y x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 y x) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) (pow.f64 (*.f64 y x) 2))) (*.f64 (cbrt.f64 (+.f64 (*.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) (pow.f64 (*.f64 y x) 2))) (cbrt.f64 (+.f64 (*.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) (pow.f64 (*.f64 y x) 2))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (neg.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (*.f64 y (neg.f64 x)) (log1p.f64 (exp.f64 x))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 y x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 y x) 3)) (+.f64 (*.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) (pow.f64 (*.f64 y x) 2))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) 2))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 y (neg.f64 x)))

eval545.0ms (5.8%)

Compiler

Compiled 31378 to 15948 computations (49.2% saved)

prune233.0ms (2.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New107171078
Fresh123
Picked101
Done224
Total1075111086
Error
0.2b
Counts
1086 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
▶13.9b
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) 3)
▶7.7b
(-.f64 (log.f64 2) (*.f64 x y))
12.5b
(+.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))) (log.f64 2))
14.1b
(+.f64 (*.f64 (-.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) y) x) (*.f64 3 (log.f64 (cbrt.f64 2))))
▶31.4b
(+.f64 (*.f64 1/2 x) (log.f64 2))
▶43.1b
(*.f64 (-.f64 1/2 y) x)
32.9b
(*.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3)
✓31.2b
(*.f64 x (neg.f64 y))
▶31.5b
(log1p.f64 (exp.f64 x))
✓31.5b
(log.f64 (+.f64 1 (exp.f64 x)))
31.9b
(log.f64 2)
Compiler

Compiled 187 to 158 computations (15.5% saved)

localize16.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (log.f64 2) (*.f64 x y))
Compiler

Compiled 16 to 9 computations (43.8% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (log.f64 2) (*.f64 x y))
0.0ms
y
@-inf
(-.f64 (log.f64 2) (*.f64 x y))
0.0ms
x
@-inf
(-.f64 (log.f64 2) (*.f64 x y))
0.0ms
x
@inf
(-.f64 (log.f64 2) (*.f64 x y))
0.0ms
y
@inf
(-.f64 (log.f64 2) (*.f64 x y))

rewrite64.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1928×add-sqr-sqrt
1908×*-un-lft-identity
1780×add-cube-cbrt
1762×add-cbrt-cube
192×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
118817
2240317
Stop Event
1×node limit
Counts
1 → 39
Calls
Call 1
Inputs
(-.f64 (log.f64 2) (*.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log.f64 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log.f64 2) (*.f64 x y)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y)))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log.f64 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log.f64 2) (*.f64 x (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 2 (pow.f64 (exp.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (log.f64 2) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y)))))))

simplify59.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
922×fma-def
890×associate-/l/
846×associate-+l+
832×*-commutative
630×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01131563
13071443
213431443
346841443
Stop Event
1×node limit
Counts
63 → 50
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)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 2) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)
(*.f64 1 (-.f64 (log.f64 2) (*.f64 x y)))
(*.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(*.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) (*.f64 x y)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y)))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log.f64 2) (*.f64 x y)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log.f64 2) (*.f64 x (neg.f64 y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log.f64 2) (*.f64 x y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))))
(pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2))
(log.f64 (/.f64 2 (pow.f64 (exp.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log.f64 2) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(fma.f64 1 (log.f64 2) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y)))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 (*.f64 x (neg.f64 y)) 1))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.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 (log.f64 2) (*.f64 y x))
(+.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 (log.f64 2) (*.f64 y x))
(+.f64 (*.f64 x (neg.f64 y)) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 1 (-.f64 (log.f64 2) (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 y x (log.f64 2)))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 y x) (+.f64 (log.f64 2) (*.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 x (*.f64 y (fma.f64 y x (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(*.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))))
(-.f64 (log.f64 2) (*.f64 y x))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) (*.f64 x y)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 y x (log.f64 2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y)))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 y x) (+.f64 (log.f64 2) (*.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 x (*.f64 y (fma.f64 y x (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log.f64 2) (*.f64 x y)))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 y x (log.f64 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y)))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 y x) (+.f64 (log.f64 2) (*.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 x (*.f64 y (fma.f64 y x (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 y x (log.f64 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log.f64 2) (*.f64 x (neg.f64 y))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 y x) (+.f64 (log.f64 2) (*.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 x (*.f64 y (fma.f64 y x (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log.f64 2) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 y x (log.f64 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 y x) (+.f64 (log.f64 2) (*.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 (*.f64 y x) (fma.f64 y x (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 x (*.f64 y (fma.f64 y x (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)
(-.f64 (log.f64 2) (*.f64 y x))
(pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2)
(-.f64 (log.f64 2) (*.f64 y x))
(pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3)
(-.f64 (log.f64 2) (*.f64 y x))
(pow.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3) 1/3)
(-.f64 (log.f64 2) (*.f64 y x))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2))
(-.f64 (log.f64 2) (*.f64 y x))
(log.f64 (/.f64 2 (pow.f64 (exp.f64 x) y)))
(-.f64 (log.f64 2) (*.f64 y x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log.f64 2) (*.f64 x y)))))
(-.f64 (log.f64 2) (*.f64 y x))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3))
(-.f64 (log.f64 2) (*.f64 y x))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(-.f64 (log.f64 2) (*.f64 y x))
(exp.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(-.f64 (log.f64 2) (*.f64 y x))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))) 1))
(-.f64 (log.f64 2) (*.f64 y x))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 1 (log.f64 2) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 y x))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (-.f64 1/2 y) x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 1/2 x) (log.f64 2))
Compiler

Compiled 16 to 13 computations (18.8% saved)

series1.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite56.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1848×add-sqr-sqrt
1824×*-un-lft-identity
1708×add-cube-cbrt
1692×add-cbrt-cube
182×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
118813
2228213
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 x) (log.f64 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (*.f64 1/2 x) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 1/2 x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)) (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 1/2 (*.f64 x (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/4 (*.f64 x x))) (-.f64 (log.f64 2) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))))))

simplify59.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1238×associate-*r*
1134×associate-/r*
1022×associate-*l*
686×associate-+r+
560×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0981074
12371044
2812976
34402976
Stop Event
1×node limit
Counts
40 → 45
Calls
Call 1
Inputs
(log.f64 2)
(*.f64 1/2 x)
(*.f64 1/2 x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) 1)
(-.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (*.f64 1/2 x) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 x) (log.f64 2))))
(*.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(*.f64 1 (fma.f64 1/2 x (log.f64 2)))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(*.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)) (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2))))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 1/2 (*.f64 x (log.f64 2))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/4 (*.f64 x x))) (-.f64 (log.f64 2) (*.f64 1/2 x)))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 x))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))
Outputs
(log.f64 2)
(*.f64 1/2 x)
(*.f64 1/2 x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) 1)
(fma.f64 1/2 x (log.f64 2))
(-.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (*.f64 1/2 x) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(*.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(fma.f64 1/2 x (log.f64 2))
(*.f64 1 (fma.f64 1/2 x (log.f64 2)))
(fma.f64 1/2 x (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))
(fma.f64 1/2 x (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(*.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(*.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))
(/.f64 (*.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 -1/2 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 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (*.f64 x (*.f64 x 1/4))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)) (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))))
(/.f64 (*.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 -1/2 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 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (*.f64 x (*.f64 x 1/4))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))
(/.f64 (*.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 -1/2 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 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (*.f64 x (*.f64 x 1/4))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 1/2 (*.f64 x (log.f64 2))))))
(/.f64 (*.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 -1/2 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 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (*.f64 x (*.f64 x 1/4))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/4 (*.f64 x x))) (-.f64 (log.f64 2) (*.f64 1/2 x)))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(/.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))
(/.f64 (*.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 -1/2 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 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (*.f64 x (*.f64 x 1/4))))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)
(fma.f64 1/2 x (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(fma.f64 1/2 x (log.f64 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))
(fma.f64 1/2 x (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))))
(fma.f64 1/2 x (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))
(fma.f64 1/2 x (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1))
(fma.f64 1/2 x (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (log.f64 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 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4))) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.5b
(log1p.f64 (exp.f64 x))
Compiler

Compiled 8 to 4 computations (50% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (-.f64 1/2 y) x)
0.0b
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
✓0.9b
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) 3)
✓1.0b
(cbrt.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
Compiler

Compiled 45 to 34 computations (24.4% saved)

series10.0ms (0.1%)

Counts
2 → 16
Calls

12 calls:

TimeVariablePointExpression
3.0ms
y
@0
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) 3)
2.0ms
x
@0
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) 3)
1.0ms
y
@0
(cbrt.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
1.0ms
x
@0
(cbrt.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
0.0ms
y
@inf
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) 3)

rewrite84.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1116×associate-*r/
974×associate-*l/
746×distribute-rgt-in
706×distribute-lft-in
288×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01442
130342
2353942
Stop Event
1×node limit
Counts
2 → 125
Calls
Call 1
Inputs
(cbrt.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) 3)
Outputs
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simplify140.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1242×associate-+r+
1070×associate-*r*
1032×associate-+l+
968×+-commutative
812×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048711005
1149410399
2611710399
Stop Event
1×node limit
Counts
141 → 219
Calls
Call 1
Inputs
(pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/3)
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/9) (*.f64 y x))) (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/3))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/9) (*.f64 y x))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 7)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/3)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/9) (*.f64 y x))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/3) (*.f64 (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/3) (pow.f64 x 3))) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/3) (pow.f64 x 3))))) (pow.f64 y 3)))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 7)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/3))))
(pow.f64 (log.f64 2) 1/3)
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(fma.f64 1 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
Outputs
(pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/3)
(cbrt.f64 (fma.f64 1/2 x (log.f64 2)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/9) (*.f64 y x))) (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/3))
(fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18)) (*.f64 x y)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 -1/3 (*.f64 x (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18)) y)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/9) (*.f64 y x))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 7)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/3)))
(fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18)) (*.f64 x y)) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18)) (*.f64 (*.f64 y y) (*.f64 x x))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(fma.f64 -1/3 (*.f64 x (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18)) y)) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18)) (*.f64 (*.f64 (*.f64 y y) x) x)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/9) (*.f64 y x))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/3) (*.f64 (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/3) (pow.f64 x 3))) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/3) (pow.f64 x 3))))) (pow.f64 y 3)))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 7)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/3))))
(fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18)) (*.f64 x y)) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) (*.f64 (fma.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) (pow.f64 x 3)) (*.f64 2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) (pow.f64 x 3)))) (pow.f64 y 3))) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18)) (*.f64 (*.f64 y y) (*.f64 x x))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))))
(fma.f64 -1/3 (*.f64 x (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18)) y)) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) (*.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) (pow.f64 x 3)) 5/27) (pow.f64 y 3))) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18)) (*.f64 (*.f64 (*.f64 y y) x) x)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))))
(pow.f64 (log.f64 2) 1/3)
(cbrt.f64 (log.f64 2))
(+.f64 (pow.f64 (log.f64 2) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 (-.f64 1/2 y) x))))
(+.f64 (cbrt.f64 (log.f64 2)) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (*.f64 x (-.f64 1/2 y)))))
(fma.f64 1/3 (*.f64 x (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (-.f64 1/2 y))) (cbrt.f64 (log.f64 2)))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))) (+.f64 (pow.f64 (log.f64 2) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 (-.f64 1/2 y) x)))))
(fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (*.f64 (*.f64 x x) (pow.f64 (-.f64 1/2 y) 2))) (+.f64 (cbrt.f64 (log.f64 2)) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (*.f64 x (-.f64 1/2 y))))))
(fma.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) (fma.f64 1/3 (*.f64 x (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (-.f64 1/2 y))) (cbrt.f64 (log.f64 2))))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))) (+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 (-.f64 1/2 y) 3)))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 (-.f64 1/2 y) 3)))) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 (-.f64 1/2 y) x))))))
(fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (*.f64 (*.f64 x x) (pow.f64 (-.f64 1/2 y) 2))) (+.f64 (cbrt.f64 (log.f64 2)) (fma.f64 -1/3 (*.f64 (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 (-.f64 1/2 y) 3)) (*.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 (-.f64 1/2 y) 3)))) (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (*.f64 x (-.f64 1/2 y)))))))
(+.f64 (fma.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) (fma.f64 1/3 (*.f64 x (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (-.f64 1/2 y))) (cbrt.f64 (log.f64 2)))) (*.f64 -1/3 (*.f64 (pow.f64 x 3) (*.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 (-.f64 1/2 y) 3)) -5/27) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)))))))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 x) (log.f64 2)))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 y (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 4)) 1/9) x)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 4)) 1/9) x)))) (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 x) (log.f64 2))))
(fma.f64 y (*.f64 (*.f64 x (*.f64 (pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4) 1/18))) -1) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 y (*.f64 x (*.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4) 1/18)) -1)) (fma.f64 1/2 x (log.f64 2)))
(+.f64 (*.f64 y (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 4)) 1/9) x)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 4)) 1/9) x)))) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2))) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 4)) 1/9) (pow.f64 x 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 4)) 1/9) (pow.f64 x 2))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2))) 1/9) (pow.f64 x 2))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2))) 1/9) (pow.f64 x 2)))))) (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 x) (log.f64 2)))))
(fma.f64 y (*.f64 (*.f64 x (*.f64 (pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4) 1/18))) -1) (fma.f64 (*.f64 y y) (fma.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4)) 1/18))) -1/9) (*.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1/18) (pow.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1/18))) 1/9)) (fma.f64 1/2 x (log.f64 2))))
(fma.f64 y (*.f64 x (*.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4) 1/18)) -1)) (fma.f64 (*.f64 y y) (fma.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4)) 1/18)) (*.f64 (*.f64 x x) -1/9)) (*.f64 1/9 (*.f64 (*.f64 x (pow.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1/18)) (*.f64 x (pow.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1/18))))) (fma.f64 1/2 x (log.f64 2))))
(+.f64 (*.f64 y (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 4)) 1/9) x)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 4)) 1/9) x)))) (+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/9) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 4)) 1/9) (pow.f64 x 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 4)) 1/9) (pow.f64 x 2)))) x))) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/3) (pow.f64 x 3)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2))) 1/3) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 x 3) (+.f64 (*.f64 1/2 x) (log.f64 2))))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2))) 1/3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/3) (pow.f64 x 3))) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/3) (pow.f64 x 3))))))))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/3) (pow.f64 x 3))) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/3) (pow.f64 x 3))))))))))) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2))) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 4)) 1/9) (pow.f64 x 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 4)) 1/9) (pow.f64 x 2))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2))) 1/9) (pow.f64 x 2))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2))) 1/9) (pow.f64 x 2)))))) (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 x) (log.f64 2))))))
(fma.f64 y (*.f64 (*.f64 x (*.f64 (pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4) 1/18))) -1) (fma.f64 (pow.f64 y 3) (fma.f64 -1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4)) 1/18))) -1/9)) x) (+.f64 (*.f64 2/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) (pow.f64 x 3))) (fma.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (+.f64 (*.f64 2/27 (/.f64 (pow.f64 x 3) (fma.f64 1/2 x (log.f64 2)))) (*.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))) (fma.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) (pow.f64 x 3)) (*.f64 2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) (pow.f64 x 3)))))) (*.f64 -1/3 (fma.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) (pow.f64 x 3)) (*.f64 2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) (pow.f64 x 3)))))))) (fma.f64 (*.f64 y y) (fma.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 4)) 1/18))) -1/9) (*.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1/18) (pow.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1/18))) 1/9)) (fma.f64 1/2 x (log.f64 2)))))
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(*.f64 (pow.f64 1 1/3) (log.f64 2))
(log.f64 2)
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(+.f64 (fma.f64 (pow.f64 x 3) (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 (-.f64 1/2 y) 3)) -2/27 (fma.f64 -1/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 (-.f64 1/2 y) 3)) -5/27) (fma.f64 1/3 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (-.f64 1/2 y)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (-.f64 1/2 y) 2)))) -1/9) (*.f64 (cbrt.f64 (log.f64 2)) (fma.f64 -2/3 (*.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 (-.f64 1/2 y) 3)) -5/27) (cbrt.f64 (/.f64 1 (log.f64 2)))) (/.f64 (*.f64 -2/27 (pow.f64 (-.f64 1/2 y) 3)) (log.f64 2))))))) (*.f64 x (*.f64 (-.f64 1/2 y) (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18))))) (fma.f64 (*.f64 x x) (fma.f64 (cbrt.f64 (log.f64 2)) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (-.f64 1/2 y) 2)))) (*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) 1/9))) (log.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 1)
(cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1)
(cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 1 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/6) (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/6))
(cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))
(cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
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(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (+.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (log.f64 2)))) (-.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (log.f64 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (+.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (log.f64 2)))) (-.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (*.f64 (+.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (log.f64 2))) (-.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (log.f64 2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) 1) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (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 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (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 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(fabs.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 (-.f64 1/2 y)) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (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 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 (-.f64 1/2 y) x))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (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 (-.f64 1/2 y) x))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.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 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))

eval435.0ms (4.6%)

Compiler

Compiled 17518 to 14292 computations (18.4% saved)

prune132.0ms (1.4%)

Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New6016607
Fresh044
Picked101
Done156
Total60315618
Error
0.2b
Counts
618 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
▶32.5b
(pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))) 3)
53.4b
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
▶54.1b
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
43.2b
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
✓7.7b
(-.f64 (log.f64 2) (*.f64 x y))
▶12.5b
(+.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))) (log.f64 2))
14.1b
(+.f64 (*.f64 (-.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) y) x) (*.f64 3 (log.f64 (cbrt.f64 2))))
✓31.4b
(+.f64 (*.f64 1/2 x) (log.f64 2))
32.9b
(*.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3)
✓31.2b
(*.f64 x (neg.f64 y))
▶61.7b
(*.f64 1/2 x)
✓31.5b
(log1p.f64 (exp.f64 x))
✓31.5b
(log.f64 (+.f64 1 (exp.f64 x)))
▶31.9b
(log.f64 2)
32.0b
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))
Compiler

Compiled 246 to 203 computations (17.5% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (-.f64 1/2 y))
✓0.0b
(+.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))) (log.f64 2))
✓0.2b
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
Compiler

Compiled 34 to 26 computations (23.5% saved)

series3.0ms (0%)

Counts
3 → 60
Calls

15 calls:

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

rewrite86.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1266×associate-/r*
908×associate-/l*
774×distribute-rgt-in
738×distribute-lft-in
654×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01361
128345
2374445
Stop Event
1×node limit
Counts
3 → 175
Calls
Call 1
Inputs
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(+.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))) (log.f64 2))
(/.f64 1 (-.f64 1/2 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x (*.f64 (neg.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 y)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 (*.f64 (neg.f64 y) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 y) x) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 x 1/2)) (*.f64 1 (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 1/2 x)) (*.f64 1 (*.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x -1) -1/2) (*.f64 (/.f64 x -1) (neg.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 x) 1) (*.f64 (*.f64 (neg.f64 y) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (/.f64 x -1)) (*.f64 (neg.f64 (neg.f64 y)) (/.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (neg.f64 (+.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (-.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 x (sqrt.f64 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (+.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 x (+.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/2 y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))) (*.f64 x (cbrt.f64 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x -1) (+.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sqrt.f64 x) 1) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 x) 1) (-.f64 1/2 y)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))) (*.f64 (/.f64 (sqrt.f64 x) 1) (cbrt.f64 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) -1) (+.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (-.f64 1/2 y) -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 (-.f64 1/2 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) 1) (sqrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))) 1) (cbrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (-.f64 1/2 y))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))) (cbrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1/2 y)))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 -1)) (sqrt.f64 (+.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))) -1) (cbrt.f64 (+.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (-.f64 (*.f64 y y) (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (-.f64 1/16 (*.f64 (*.f64 y (+.f64 1/2 y)) (*.f64 y (+.f64 1/2 y))))) (-.f64 1/4 (*.f64 y (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/64 (pow.f64 (*.f64 y (+.f64 1/2 y)) 3))) (+.f64 1/16 (-.f64 (*.f64 (*.f64 y (+.f64 1/2 y)) (*.f64 y (+.f64 1/2 y))) (*.f64 1/4 (*.f64 y (+.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 -1 x) (+.f64 -1/2 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)))) 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simplify104.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
918×+-commutative
884×associate-+r+
810×associate-+l+
706×associate-*r*
668×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05227333
115776903
264786903
Stop Event
1×node limit
Counts
235 → 271
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)))
(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))))
2
(+.f64 2 (*.f64 4 y))
(+.f64 2 (+.f64 (*.f64 4 y) (*.f64 8 (pow.f64 y 2))))
(+.f64 2 (+.f64 (*.f64 4 y) (+.f64 (*.f64 8 (pow.f64 y 2)) (*.f64 16 (pow.f64 y 3)))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 y 4))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 3)))))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 y 4))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 3)))))))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 x 1/2) (*.f64 x (*.f64 (neg.f64 y) 1)))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 x 1/2))
(+.f64 (*.f64 1/2 x) (*.f64 (neg.f64 y) x))
(+.f64 (*.f64 1/2 x) (*.f64 (*.f64 (neg.f64 y) 1) x))
(+.f64 (*.f64 (neg.f64 y) x) (*.f64 1/2 x))
(+.f64 (*.f64 1 (*.f64 x 1/2)) (*.f64 1 (*.f64 x (neg.f64 y))))
(+.f64 (*.f64 1 (*.f64 1/2 x)) (*.f64 1 (*.f64 (neg.f64 y) x)))
(+.f64 (*.f64 (/.f64 x -1) -1/2) (*.f64 (/.f64 x -1) (neg.f64 (neg.f64 y))))
(+.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (*.f64 (*.f64 1/2 x) 1) (*.f64 (*.f64 (neg.f64 y) x) 1))
(+.f64 (*.f64 -1/2 (/.f64 x -1)) (*.f64 (neg.f64 (neg.f64 y)) (/.f64 x -1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(*.f64 x (-.f64 1/2 y))
(*.f64 x (neg.f64 (+.f64 -1/2 y)))
(*.f64 1 (*.f64 x (-.f64 1/2 y)))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (*.f64 x (-.f64 1/2 y)) 1)
(*.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)))
(*.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 x (sqrt.f64 (-.f64 1/2 y))))
(*.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)))
(*.f64 (neg.f64 x) (+.f64 -1/2 y))
(*.f64 -1 (*.f64 x (+.f64 -1/2 y)))
(*.f64 (+.f64 -1/2 y) (neg.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))
(*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))) (*.f64 x (cbrt.f64 (-.f64 1/2 y))))
(*.f64 (/.f64 x -1) (+.f64 -1/2 y))
(*.f64 (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sqrt.f64 x) 1) (-.f64 1/2 y)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) 1) (-.f64 1/2 y)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))) (*.f64 (/.f64 (sqrt.f64 x) 1) (cbrt.f64 (-.f64 1/2 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 (cbrt.f64 x) -1) (+.f64 -1/2 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (-.f64 1/2 y) -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 (-.f64 1/2 y) -1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) 1) (sqrt.f64 (-.f64 1/2 y)))
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))) 1) (cbrt.f64 (-.f64 1/2 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (-.f64 1/2 y))) (cbrt.f64 x))
(*.f64 (/.f64 x (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))) (cbrt.f64 (-.f64 1/2 y)))
(*.f64 (/.f64 1 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1/2 y)))) (cbrt.f64 x))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 -1)) (sqrt.f64 (+.f64 -1/2 y)))
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))) -1) (cbrt.f64 (+.f64 -1/2 y)))
(*.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y))
(*.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (-.f64 (*.f64 y y) (*.f64 1/2 y))))
(*.f64 (/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (-.f64 1/16 (*.f64 (*.f64 y (+.f64 1/2 y)) (*.f64 y (+.f64 1/2 y))))) (-.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(*.f64 (/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/64 (pow.f64 (*.f64 y (+.f64 1/2 y)) 3))) (+.f64 1/16 (-.f64 (*.f64 (*.f64 y (+.f64 1/2 y)) (*.f64 y (+.f64 1/2 y))) (*.f64 1/4 (*.f64 y (+.f64 1/2 y))))))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(pow.f64 (/.f64 (/.f64 -1 x) (+.f64 -1/2 y)) -1)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(neg.f64 (*.f64 x (+.f64 -1/2 y)))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (*.f64 x (-.f64 1/2 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) (-.f64 1 (log.f64 2)))
(-.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 (+.f64 (*.f64 x (-.f64 1/2 y)) (exp.f64 (log1p.f64 (log.f64 2)))) 1)
(-.f64 (+.f64 (log.f64 2) (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))) 1)
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))))
(*.f64 (/.f64 1 (-.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 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 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2))) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.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) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (-.f64 (*.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (*.f64 (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) 3) (pow.f64 (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) 3))) (+.f64 (*.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (*.f64 (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))) (*.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))))
(/.f64 1 (/.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(/.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) (/.f64 (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(/.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) (*.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) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))) (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))) (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2))) (/.f64 (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)) (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)))) (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)))) (/.f64 (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (*.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 2) 3))) (*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (*.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 2) 2))) (*.f64 (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)) (+.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 3) (pow.f64 (pow.f64 (log.f64 2) 3) 3)) (*.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 (*.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (-.f64 (*.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 2) 3)) (*.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) 3) (pow.f64 (pow.f64 (log.f64 2) 2) 3)) (*.f64 (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)) (+.f64 (*.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (+.f64 (*.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 2) 2)) (*.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 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 (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 (/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) 1) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (sqrt.f64 (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))) (sqrt.f64 (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))) (cbrt.f64 (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))) (cbrt.f64 (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))) (-.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (log.f64 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) 1) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (sqrt.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))))))) (sqrt.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 (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (*.f64 (cbrt.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)))))) (cbrt.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)))))))) (cbrt.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)))))))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(+.f64 (*.f64 (/.f64 1 (-.f64 1/4 (*.f64 y y))) 1/2) (*.f64 (/.f64 1 (-.f64 1/4 (*.f64 y y))) y))
(+.f64 (*.f64 (/.f64 1 (-.f64 1/4 (*.f64 y y))) y) (*.f64 (/.f64 1 (-.f64 1/4 (*.f64 y y))) 1/2))
(+.f64 (*.f64 (/.f64 1 (-.f64 1/8 (pow.f64 y 3))) 1/4) (*.f64 (/.f64 1 (-.f64 1/8 (pow.f64 y 3))) (*.f64 y (+.f64 1/2 y))))
(+.f64 (*.f64 (/.f64 1 (-.f64 1/8 (pow.f64 y 3))) (*.f64 y (+.f64 1/2 y))) (*.f64 (/.f64 1 (-.f64 1/8 (pow.f64 y 3))) 1/4))
(+.f64 (*.f64 (/.f64 1 (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y y))) (*.f64 (/.f64 1 (-.f64 1/8 (pow.f64 y 3))) (*.f64 1/2 y)))
(+.f64 (*.f64 1/2 (/.f64 1 (-.f64 1/4 (*.f64 y y)))) (*.f64 y (/.f64 1 (-.f64 1/4 (*.f64 y y)))))
(+.f64 (*.f64 y (/.f64 1 (-.f64 1/4 (*.f64 y y)))) (*.f64 1/2 (/.f64 1 (-.f64 1/4 (*.f64 y y)))))
(+.f64 (*.f64 1/4 (/.f64 1 (-.f64 1/8 (pow.f64 y 3)))) (*.f64 (*.f64 y (+.f64 1/2 y)) (/.f64 1 (-.f64 1/8 (pow.f64 y 3)))))
(+.f64 (*.f64 (*.f64 y (+.f64 1/2 y)) (/.f64 1 (-.f64 1/8 (pow.f64 y 3)))) (*.f64 1/4 (/.f64 1 (-.f64 1/8 (pow.f64 y 3)))))
(+.f64 (*.f64 (+.f64 1/4 (*.f64 y y)) (/.f64 1 (-.f64 1/8 (pow.f64 y 3)))) (*.f64 (*.f64 1/2 y) (/.f64 1 (-.f64 1/8 (pow.f64 y 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1/2 y)))) 1)
(*.f64 1 (/.f64 1 (-.f64 1/2 y)))
(*.f64 (/.f64 1 (-.f64 1/2 y)) 1)
(*.f64 (pow.f64 (-.f64 1/2 y) -1/2) (pow.f64 (-.f64 1/2 y) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1/2 y))) (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2)) (/.f64 1 (cbrt.f64 (-.f64 1/2 y))))
(*.f64 (/.f64 1 (+.f64 -1/2 y)) -1)
(*.f64 -1 (/.f64 1 (+.f64 -1/2 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1/2 y))))
(*.f64 (/.f64 1 (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
(*.f64 (/.f64 1 (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2)) 1) (/.f64 1 (cbrt.f64 (-.f64 1/2 y))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1/2 y)) -1) (pow.f64 (sqrt.f64 (-.f64 1/2 y)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 1/2 y)) -1))
(*.f64 (/.f64 1 (neg.f64 (-.f64 1/4 (*.f64 y y)))) (neg.f64 (+.f64 1/2 y)))
(*.f64 (/.f64 1 (neg.f64 (-.f64 1/8 (pow.f64 y 3)))) (neg.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(*.f64 (/.f64 1 (-.f64 1/4 (*.f64 (neg.f64 y) (neg.f64 y)))) (+.f64 1/2 y))
(*.f64 (/.f64 1 (+.f64 1/8 (pow.f64 (neg.f64 y) 3))) (+.f64 1/4 (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 1/2 (neg.f64 y)))))
(*.f64 (/.f64 (pow.f64 (-.f64 1/2 y) -1/2) (sqrt.f64 (-.f64 1/4 (*.f64 y y)))) (sqrt.f64 (+.f64 1/2 y)))
(*.f64 (/.f64 (pow.f64 (-.f64 1/2 y) -1/2) (sqrt.f64 (-.f64 1/8 (pow.f64 y 3)))) (sqrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 1/4 (*.f64 y y)))) (+.f64 1/2 y))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 1/8 (pow.f64 y 3)))) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))) (cbrt.f64 (+.f64 1/2 y)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/8 (pow.f64 y 3)))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(*.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/16 (*.f64 (*.f64 y y) (*.f64 y y)))) (+.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/64 (pow.f64 (*.f64 y y) 3))) (+.f64 1/16 (+.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 1/4 (*.f64 y y)))))
(*.f64 (/.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y))) (-.f64 1/64 (*.f64 (pow.f64 y 3) (pow.f64 y 3)))) (+.f64 1/8 (pow.f64 y 3)))
(*.f64 (/.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y))) (-.f64 1/512 (pow.f64 (pow.f64 y 3) 3))) (+.f64 1/64 (+.f64 (*.f64 (pow.f64 y 3) (pow.f64 y 3)) (*.f64 1/8 (pow.f64 y 3)))))
(pow.f64 (-.f64 1/2 y) -1)
(pow.f64 (/.f64 1 (-.f64 1/2 y)) 1)
(pow.f64 (pow.f64 (-.f64 1/2 y) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1/2 y))) 3)
(pow.f64 (/.f64 1 (pow.f64 (-.f64 1/2 y) 3)) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1/2 y) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1/2 y)))))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1/2 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1/2 y))))
(exp.f64 (neg.f64 (log.f64 (-.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (-.f64 1/2 y)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 1/2 y))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1/2 y))))
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)
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(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))) (cbrt.f64 (+.f64 1/2 y)))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))) (cbrt.f64 (+.f64 1/2 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) -2) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))) (cbrt.f64 (+.f64 1/2 y)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/8 (pow.f64 y 3)))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) -2) (cbrt.f64 (-.f64 1/8 (pow.f64 y 3)))) (cbrt.f64 (fma.f64 y (+.f64 1/2 y) 1/4)))
(*.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/16 (*.f64 (*.f64 y y) (*.f64 y y)))) (+.f64 1/4 (*.f64 y y)))
(*.f64 (+.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) (-.f64 1/16 (pow.f64 y 4))))
(/.f64 (*.f64 (+.f64 1/2 y) (fma.f64 y y 1/4)) (-.f64 1/16 (pow.f64 y 4)))
(*.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/64 (pow.f64 (*.f64 y y) 3))) (+.f64 1/16 (+.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 1/4 (*.f64 y y)))))
(*.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/64 (pow.f64 y 6))) (+.f64 (+.f64 1/16 (pow.f64 y 4)) (*.f64 1/4 (*.f64 y y))))
(*.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/64 (pow.f64 y 6))) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))
(*.f64 (/.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y))) (-.f64 1/64 (*.f64 (pow.f64 y 3) (pow.f64 y 3)))) (+.f64 1/8 (pow.f64 y 3)))
(*.f64 (+.f64 (pow.f64 y 3) 1/8) (/.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y))) (-.f64 1/64 (pow.f64 y 6))))
(*.f64 (+.f64 (pow.f64 y 3) 1/8) (/.f64 (fma.f64 y (+.f64 1/2 y) 1/4) (-.f64 1/64 (pow.f64 y 6))))
(*.f64 (/.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y))) (-.f64 1/512 (pow.f64 (pow.f64 y 3) 3))) (+.f64 1/64 (+.f64 (*.f64 (pow.f64 y 3) (pow.f64 y 3)) (*.f64 1/8 (pow.f64 y 3)))))
(/.f64 (*.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y))) (+.f64 (+.f64 1/64 (pow.f64 y 6)) (*.f64 (pow.f64 y 3) 1/8))) (-.f64 1/512 (pow.f64 (pow.f64 y 3) 3)))
(*.f64 (/.f64 (fma.f64 y (+.f64 1/2 y) 1/4) (-.f64 1/512 (pow.f64 (pow.f64 y 3) 3))) (+.f64 1/64 (fma.f64 (pow.f64 y 3) 1/8 (pow.f64 y 6))))
(pow.f64 (-.f64 1/2 y) -1)
(/.f64 1 (-.f64 1/2 y))
(/.f64 -1 (+.f64 y -1/2))
(pow.f64 (/.f64 1 (-.f64 1/2 y)) 1)
(/.f64 1 (-.f64 1/2 y))
(/.f64 -1 (+.f64 y -1/2))
(pow.f64 (pow.f64 (-.f64 1/2 y) -1/2) 2)
(/.f64 1 (-.f64 1/2 y))
(/.f64 -1 (+.f64 y -1/2))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1/2 y))) 3)
(/.f64 1 (-.f64 1/2 y))
(/.f64 -1 (+.f64 y -1/2))
(pow.f64 (/.f64 1 (pow.f64 (-.f64 1/2 y) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1/2 y) 3)))
(sqrt.f64 (pow.f64 (-.f64 1/2 y) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y))))
(/.f64 1 (-.f64 1/2 y))
(/.f64 -1 (+.f64 y -1/2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1/2 y)))))
(/.f64 1 (-.f64 1/2 y))
(/.f64 -1 (+.f64 y -1/2))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1/2 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1/2 y))))
(/.f64 1 (-.f64 1/2 y))
(/.f64 -1 (+.f64 y -1/2))
(exp.f64 (neg.f64 (log.f64 (-.f64 1/2 y))))
(/.f64 1 (-.f64 1/2 y))
(/.f64 -1 (+.f64 y -1/2))
(exp.f64 (*.f64 (log.f64 (-.f64 1/2 y)) -1))
(/.f64 1 (-.f64 1/2 y))
(/.f64 -1 (+.f64 y -1/2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 1/2 y))) 1))
(/.f64 1 (-.f64 1/2 y))
(/.f64 -1 (+.f64 y -1/2))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1/2 y))))
(/.f64 1 (-.f64 1/2 y))
(/.f64 -1 (+.f64 y -1/2))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓5.9b
(*.f64 x (-.f64 1/4 (*.f64 y y)))
✓7.4b
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
Compiler

Compiled 35 to 18 computations (48.6% saved)

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
1.0ms
y
@inf
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
1.0ms
x
@inf
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
1.0ms
y
@0
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
0.0ms
x
@-inf
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))

rewrite73.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1768×associate-/r*
1652×associate-/l*
904×associate-/r/
738×associate-/l/
256×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01150
125038
2347232
Stop Event
1×node limit
Counts
2 → 123
Calls
Call 1
Inputs
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
Outputs
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simplify80.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1064×unswap-sqr
566×associate-/l*
488×associate-*l*
484×associate-*r*
398×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03495529
19374977
245324977
Stop Event
1×node limit
Counts
171 → 178
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.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 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 1/4 x)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 x (/.f64 1 (+.f64 y 1/2))))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (/.f64 1 (+.f64 y 1/2)))
(*.f64 (*.f64 x (-.f64 1/2 y)) 1)
(*.f64 1 (*.f64 x (-.f64 1/2 y)))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) (*.f64 (sqrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) (/.f64 1 (+.f64 y 1/2))))
(*.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) 2) (*.f64 (cbrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) (/.f64 1 (+.f64 y 1/2))))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 x (-.f64 1/4 (*.f64 y y))))
(*.f64 (*.f64 x (neg.f64 (-.f64 1/4 (*.f64 y y)))) (/.f64 1 (-.f64 -1/2 y)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1/2))) (/.f64 x (/.f64 (sqrt.f64 (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (cbrt.f64 (+.f64 y 1/2)) x)))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 (+.f64 y 1/2))) (/.f64 x (sqrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 1 (-.f64 1/4 (*.f64 y y))) (*.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y)))
(*.f64 (/.f64 1 (+.f64 1/8 (pow.f64 y 3))) (*.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/4 (*.f64 y (-.f64 y 1/2)))))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (-.f64 1/4 (*.f64 y y)))) (-.f64 1/2 y))
(*.f64 (/.f64 x (/.f64 (+.f64 1/8 (pow.f64 y 3)) (-.f64 1/4 (*.f64 y y)))) (+.f64 1/4 (*.f64 y (-.f64 y 1/2))))
(*.f64 (/.f64 1 (-.f64 -1/2 y)) (*.f64 x (neg.f64 (-.f64 1/4 (*.f64 y y)))))
(*.f64 (/.f64 x 1) (-.f64 1/2 y))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 y 1/2))) (/.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (-.f64 1/4 (*.f64 y y)) (cbrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 x (cbrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) 1) (/.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (+.f64 y 1/2))) (sqrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (sqrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) (cbrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) (+.f64 y 1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) 2) (sqrt.f64 (+.f64 y 1/2))) (/.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (cbrt.f64 (sqrt.f64 (+.f64 y 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) 2) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (sqrt.f64 (-.f64 1/4 (*.f64 y y)))) (/.f64 (sqrt.f64 (-.f64 1/2 y)) (sqrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2)) (/.f64 (-.f64 1/2 y) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))))
(*.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/16 (pow.f64 y 4))) (*.f64 (-.f64 1/2 y) (+.f64 1/4 (*.f64 y y))))
(*.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/64 (pow.f64 y 6))) (*.f64 (-.f64 1/2 y) (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))))
(*.f64 (/.f64 x (-.f64 1/4 (*.f64 y y))) (*.f64 (-.f64 1/4 (*.f64 y y)) (-.f64 1/2 y)))
(*.f64 (/.f64 x (+.f64 1/8 (pow.f64 y 3))) (*.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/4 (*.f64 y (-.f64 y 1/2)))))
(*.f64 (/.f64 x (/.f64 (+.f64 y 1/2) (sqrt.f64 (-.f64 1/4 (*.f64 y y))))) (sqrt.f64 (-.f64 1/4 (*.f64 y y))))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1/2 y))) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) 2) (+.f64 y 1/2)) (cbrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))))
(*.f64 (/.f64 x (-.f64 -1/2 y)) (neg.f64 (-.f64 1/4 (*.f64 y y))))
(*.f64 (/.f64 x (/.f64 (+.f64 y 1/2) (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2))) (cbrt.f64 (-.f64 1/4 (*.f64 y y))))
(*.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (neg.f64 (-.f64 1/4 (*.f64 y y)))) (neg.f64 (-.f64 1/2 y)))
(*.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (neg.f64 (+.f64 1/8 (pow.f64 y 3)))) (neg.f64 (+.f64 1/4 (*.f64 y (-.f64 y 1/2)))))
(*.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 (*.f64 y y) 1/4)) (-.f64 y 1/2))
(*.f64 (/.f64 1 (/.f64 (+.f64 y 1/2) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) 2))) (cbrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (-.f64 1/2 y))) (cbrt.f64 x))
(*.f64 (/.f64 (*.f64 x (neg.f64 (-.f64 1/4 (*.f64 y y)))) (neg.f64 (-.f64 1/4 (*.f64 y y)))) (-.f64 1/2 y))
(*.f64 (/.f64 (*.f64 x (neg.f64 (-.f64 1/4 (*.f64 y y)))) (neg.f64 (+.f64 1/8 (pow.f64 y 3)))) (+.f64 1/4 (*.f64 y (-.f64 y 1/2))))
(*.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))) (sqrt.f64 (-.f64 1/4 (*.f64 y y)))) (sqrt.f64 (-.f64 1/2 y)))
(*.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))) (sqrt.f64 (+.f64 1/8 (pow.f64 y 3)))) (sqrt.f64 (+.f64 1/4 (*.f64 y (-.f64 y 1/2)))))
(*.f64 (/.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2) x)) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))) (cbrt.f64 (-.f64 1/2 y)))
(*.f64 (/.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2) x)) (cbrt.f64 (+.f64 1/8 (pow.f64 y 3)))) (cbrt.f64 (+.f64 1/4 (*.f64 y (-.f64 y 1/2)))))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) -1)
(neg.f64 (/.f64 x (/.f64 (-.f64 -1/2 y) (-.f64 1/4 (*.f64 y y)))))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (exp.f64 (*.f64 x (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 3) (pow.f64 (+.f64 y 1/2) 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 x 1/4) (*.f64 x (*.f64 y (neg.f64 y))))
(+.f64 (*.f64 x (*.f64 y (neg.f64 y))) (*.f64 x 1/4))
(+.f64 (*.f64 1/4 x) (*.f64 (*.f64 y (neg.f64 y)) x))
(+.f64 (*.f64 (*.f64 y (neg.f64 y)) x) (*.f64 1/4 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))))) 1)
(/.f64 x (/.f64 1 (-.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 x))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 1)
(/.f64 1 (/.f64 (/.f64 1 x) (-.f64 1/4 (*.f64 y y))))
(/.f64 (sqrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) (/.f64 1 (sqrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))))))
(/.f64 (sqrt.f64 x) (/.f64 1 (*.f64 (sqrt.f64 x) (-.f64 1/4 (*.f64 y y)))))
(/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) x)))
(/.f64 (cbrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) 2) (/.f64 1 (cbrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (*.f64 (cbrt.f64 x) (-.f64 1/4 (*.f64 y y)))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2) (/.f64 1 (*.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) x)))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (/.f64 (+.f64 1/4 (*.f64 y y)) x))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (/.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y)))) x))
(/.f64 (*.f64 x (sqrt.f64 (-.f64 1/4 (*.f64 y y)))) (/.f64 1 (sqrt.f64 (-.f64 1/4 (*.f64 y y)))))
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2)) (/.f64 1 (cbrt.f64 (-.f64 1/4 (*.f64 y y)))))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(/.f64 (*.f64 x (-.f64 1/16 (pow.f64 y 4))) (+.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 x (-.f64 1/64 (pow.f64 y 6))) (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y)))))
(/.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) x) (+.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) x) (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y)))))
(/.f64 (/.f64 (*.f64 x (-.f64 1/16 (pow.f64 y 4))) 1) (+.f64 1/4 (*.f64 y y)))
(/.f64 (/.f64 (*.f64 x (-.f64 1/16 (pow.f64 y 4))) (sqrt.f64 (+.f64 1/4 (*.f64 y y)))) (sqrt.f64 (+.f64 1/4 (*.f64 y y))))
(/.f64 (/.f64 (*.f64 x (-.f64 1/16 (pow.f64 y 4))) (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 y y))) (cbrt.f64 (+.f64 1/4 (*.f64 y y))))) (cbrt.f64 (+.f64 1/4 (*.f64 y y))))
(/.f64 (/.f64 (*.f64 x (-.f64 1/64 (pow.f64 y 6))) 1) (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y)))))
(/.f64 (/.f64 (*.f64 x (-.f64 1/64 (pow.f64 y 6))) (sqrt.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y)))))) (sqrt.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))))
(/.f64 (/.f64 (*.f64 x (-.f64 1/64 (pow.f64 y 6))) (*.f64 (cbrt.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))) (cbrt.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))))) (cbrt.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))))
(/.f64 (/.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) x) 1) (+.f64 1/4 (*.f64 y y)))
(/.f64 (/.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) x) (sqrt.f64 (+.f64 1/4 (*.f64 y y)))) (sqrt.f64 (+.f64 1/4 (*.f64 y y))))
(/.f64 (/.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) x) (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 y y))) (cbrt.f64 (+.f64 1/4 (*.f64 y y))))) (cbrt.f64 (+.f64 1/4 (*.f64 y y))))
(/.f64 (/.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) x) 1) (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y)))))
(/.f64 (/.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) x) (sqrt.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y)))))) (sqrt.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))))
(/.f64 (/.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) x) (*.f64 (cbrt.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))) (cbrt.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))))) (cbrt.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))))
(pow.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 1)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/4 (*.f64 y y)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))))
Outputs
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(*.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)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(*.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)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 1/4 x)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 x (*.f64 y y)))
(*.f64 (*.f64 y x) (neg.f64 y))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 x (*.f64 y y)))
(*.f64 (*.f64 y x) (neg.f64 y))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 x (/.f64 1 (+.f64 y 1/2))))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (/.f64 1 (+.f64 y 1/2)))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (*.f64 x (-.f64 1/2 y)) 1)
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(*.f64 1 (*.f64 x (-.f64 1/2 y)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) (*.f64 (sqrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) (/.f64 1 (+.f64 y 1/2))))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
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(*.f64 x (-.f64 1/2 y))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 3) (pow.f64 (+.f64 y 1/2) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 x 1/4) (*.f64 x (*.f64 y (neg.f64 y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(+.f64 (*.f64 x (*.f64 y (neg.f64 y))) (*.f64 x 1/4))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(+.f64 (*.f64 1/4 x) (*.f64 (*.f64 y (neg.f64 y)) x))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(+.f64 (*.f64 (*.f64 y (neg.f64 y)) x) (*.f64 1/4 x))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))))) 1)
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(/.f64 x (/.f64 1 (-.f64 1/4 (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 x))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 1)
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(/.f64 1 (/.f64 (/.f64 1 x) (-.f64 1/4 (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(/.f64 (sqrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) (/.f64 1 (sqrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(/.f64 (sqrt.f64 x) (/.f64 1 (*.f64 (sqrt.f64 x) (-.f64 1/4 (*.f64 y y)))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (/.f64 1 (*.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) 1) (*.f64 x (sqrt.f64 (-.f64 1/4 (*.f64 y y)))))
(*.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (*.f64 x (sqrt.f64 (-.f64 1/4 (*.f64 y y)))))
(/.f64 (cbrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) 2)))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) 2) (/.f64 1 (cbrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (*.f64 (cbrt.f64 x) (-.f64 1/4 (*.f64 y y)))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2) (/.f64 1 (*.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2) 1) (*.f64 x (cbrt.f64 (-.f64 1/4 (*.f64 y y)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2) (*.f64 x (cbrt.f64 (-.f64 1/4 (*.f64 y y)))))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (/.f64 (+.f64 1/4 (*.f64 y y)) x))
(/.f64 (*.f64 x (-.f64 1/16 (pow.f64 y 4))) (+.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x (fma.f64 y y 1/4)) (-.f64 1/16 (pow.f64 y 4)))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (/.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y)))) x))
(/.f64 x (/.f64 (+.f64 1/16 (+.f64 (*.f64 1/4 (*.f64 y y)) (pow.f64 y 4))) (-.f64 1/64 (pow.f64 y 6))))
(*.f64 (/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16)) (-.f64 1/64 (pow.f64 y 6)))
(/.f64 (*.f64 x (sqrt.f64 (-.f64 1/4 (*.f64 y y)))) (/.f64 1 (sqrt.f64 (-.f64 1/4 (*.f64 y y)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) 1) (*.f64 x (sqrt.f64 (-.f64 1/4 (*.f64 y y)))))
(*.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (*.f64 x (sqrt.f64 (-.f64 1/4 (*.f64 y y)))))
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2)) (/.f64 1 (cbrt.f64 (-.f64 1/4 (*.f64 y y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2) 1) (*.f64 x (cbrt.f64 (-.f64 1/4 (*.f64 y y)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2) (*.f64 x (cbrt.f64 (-.f64 1/4 (*.f64 y y)))))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 x (-.f64 1/16 (pow.f64 y 4))) (+.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x (fma.f64 y y 1/4)) (-.f64 1/16 (pow.f64 y 4)))
(/.f64 (*.f64 x (-.f64 1/64 (pow.f64 y 6))) (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y)))))
(/.f64 x (/.f64 (+.f64 1/16 (+.f64 (*.f64 1/4 (*.f64 y y)) (pow.f64 y 4))) (-.f64 1/64 (pow.f64 y 6))))
(*.f64 (/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16)) (-.f64 1/64 (pow.f64 y 6)))
(/.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) x) (+.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 x (-.f64 1/16 (pow.f64 y 4))) (+.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x (fma.f64 y y 1/4)) (-.f64 1/16 (pow.f64 y 4)))
(/.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) x) (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y)))))
(/.f64 x (/.f64 (+.f64 1/16 (+.f64 (*.f64 1/4 (*.f64 y y)) (pow.f64 y 4))) (-.f64 1/64 (pow.f64 y 6))))
(*.f64 (/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16)) (-.f64 1/64 (pow.f64 y 6)))
(/.f64 (/.f64 (*.f64 x (-.f64 1/16 (pow.f64 y 4))) 1) (+.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 x (-.f64 1/16 (pow.f64 y 4))) (+.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x (fma.f64 y y 1/4)) (-.f64 1/16 (pow.f64 y 4)))
(/.f64 (/.f64 (*.f64 x (-.f64 1/16 (pow.f64 y 4))) (sqrt.f64 (+.f64 1/4 (*.f64 y y)))) (sqrt.f64 (+.f64 1/4 (*.f64 y y))))
(/.f64 (*.f64 x (-.f64 1/16 (pow.f64 y 4))) (+.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x (fma.f64 y y 1/4)) (-.f64 1/16 (pow.f64 y 4)))
(/.f64 (/.f64 (*.f64 x (-.f64 1/16 (pow.f64 y 4))) (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 y y))) (cbrt.f64 (+.f64 1/4 (*.f64 y y))))) (cbrt.f64 (+.f64 1/4 (*.f64 y y))))
(/.f64 (*.f64 x (-.f64 1/16 (pow.f64 y 4))) (+.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x (fma.f64 y y 1/4)) (-.f64 1/16 (pow.f64 y 4)))
(/.f64 (/.f64 (*.f64 x (-.f64 1/64 (pow.f64 y 6))) 1) (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y)))))
(/.f64 x (/.f64 (+.f64 1/16 (+.f64 (*.f64 1/4 (*.f64 y y)) (pow.f64 y 4))) (-.f64 1/64 (pow.f64 y 6))))
(*.f64 (/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16)) (-.f64 1/64 (pow.f64 y 6)))
(/.f64 (/.f64 (*.f64 x (-.f64 1/64 (pow.f64 y 6))) (sqrt.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y)))))) (sqrt.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))))
(/.f64 x (/.f64 (+.f64 1/16 (+.f64 (*.f64 1/4 (*.f64 y y)) (pow.f64 y 4))) (-.f64 1/64 (pow.f64 y 6))))
(*.f64 (/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16)) (-.f64 1/64 (pow.f64 y 6)))
(/.f64 (/.f64 (*.f64 x (-.f64 1/64 (pow.f64 y 6))) (*.f64 (cbrt.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))) (cbrt.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))))) (cbrt.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))))
(/.f64 x (/.f64 (+.f64 1/16 (+.f64 (*.f64 1/4 (*.f64 y y)) (pow.f64 y 4))) (-.f64 1/64 (pow.f64 y 6))))
(*.f64 (/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16)) (-.f64 1/64 (pow.f64 y 6)))
(/.f64 (/.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) x) 1) (+.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 x (-.f64 1/16 (pow.f64 y 4))) (+.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x (fma.f64 y y 1/4)) (-.f64 1/16 (pow.f64 y 4)))
(/.f64 (/.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) x) (sqrt.f64 (+.f64 1/4 (*.f64 y y)))) (sqrt.f64 (+.f64 1/4 (*.f64 y y))))
(/.f64 (*.f64 x (-.f64 1/16 (pow.f64 y 4))) (+.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x (fma.f64 y y 1/4)) (-.f64 1/16 (pow.f64 y 4)))
(/.f64 (/.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) x) (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 y y))) (cbrt.f64 (+.f64 1/4 (*.f64 y y))))) (cbrt.f64 (+.f64 1/4 (*.f64 y y))))
(/.f64 (*.f64 x (-.f64 1/16 (pow.f64 y 4))) (+.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x (fma.f64 y y 1/4)) (-.f64 1/16 (pow.f64 y 4)))
(/.f64 (/.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) x) 1) (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y)))))
(/.f64 x (/.f64 (+.f64 1/16 (+.f64 (*.f64 1/4 (*.f64 y y)) (pow.f64 y 4))) (-.f64 1/64 (pow.f64 y 6))))
(*.f64 (/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16)) (-.f64 1/64 (pow.f64 y 6)))
(/.f64 (/.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) x) (sqrt.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y)))))) (sqrt.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))))
(/.f64 x (/.f64 (+.f64 1/16 (+.f64 (*.f64 1/4 (*.f64 y y)) (pow.f64 y 4))) (-.f64 1/64 (pow.f64 y 6))))
(*.f64 (/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16)) (-.f64 1/64 (pow.f64 y 6)))
(/.f64 (/.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) x) (*.f64 (cbrt.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))) (cbrt.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))))) (cbrt.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (+.f64 1/4 (*.f64 y y))))))
(/.f64 x (/.f64 (+.f64 1/16 (+.f64 (*.f64 1/4 (*.f64 y y)) (pow.f64 y 4))) (-.f64 1/64 (pow.f64 y 6))))
(*.f64 (/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16)) (-.f64 1/64 (pow.f64 y 6)))
(pow.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 1)
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) 2)
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) 3)
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 3) 1/3)
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 2))
(fabs.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 3))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/4 (*.f64 y y)) 3)))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 3) (pow.f64 x 3)))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) 1))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))

localize3.0ms (0%)

Compiler

Compiled 5 to 5 computations (0% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 1/2 x) (log.f64 2))
✓0.9b
(pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))) 3)
✓1.2b
(cbrt.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)))
Compiler

Compiled 33 to 28 computations (15.2% saved)

series5.0ms (0.1%)

Counts
2 → 8
Calls

6 calls:

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

rewrite76.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
862×*-commutative
740×unswap-sqr
530×swap-sqr
392×associate-*r/
390×sqr-pow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01230
125330
2277530
Stop Event
1×node limit
Counts
2 → 151
Calls
Call 1
Inputs
(cbrt.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))) 3)
Outputs
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2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2))))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)) 1/4)) (/.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)) 1/4))) (*.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 x) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 x) (log.f64 2))))) (+.f64 (/.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)) 1/4)) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 x) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (neg.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))))))

simplify112.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1172×associate-*r/
844×associate-*l/
798×associate-*r*
712×associate-*l*
702×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047210369
113688745
251618603
Stop Event
1×node limit
Counts
159 → 250
Calls
Call 1
Inputs
(pow.f64 (log.f64 2) 1/3)
(+.f64 (pow.f64 (log.f64 2) 1/3) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) x)))
(+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (pow.f64 x 2))) (+.f64 (pow.f64 (log.f64 2) 1/3) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) x))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (*.f64 (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (pow.f64 x 3)))) (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (pow.f64 x 2))) (+.f64 (pow.f64 (log.f64 2) 1/3) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) x)))))
(*.f64 (pow.f64 1 1/3) (log.f64 2))
(+.f64 (*.f64 (pow.f64 1 1/3) (log.f64 2)) (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/6 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) x))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)))) (+.f64 (*.f64 1/18 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (*.f64 -1/36 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 1 1/3) (log.f64 2)) (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/6 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) x)))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)))) (+.f64 (*.f64 1/18 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (*.f64 -1/36 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 1 1/3) (log.f64 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))) (*.f64 -1/108 (*.f64 (pow.f64 1 1/9) (/.f64 1 (log.f64 2)))))) (*.f64 -1/108 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)))))) (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/6 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) x))))
(+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))) -1)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))) 1)
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 1)
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(*.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 1/6) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) 1/6)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))) (/.f64 1 (cbrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2)))))))
(*.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))) (/.f64 1 (cbrt.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 3/2))
(*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) 1/6)) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 1/6) (pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 1/6) (pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 1/6)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 2))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 2)) (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 2)) (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 1/6))))
(/.f64 1 (/.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)))))
(/.f64 1 (/.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))) (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)))))
(/.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2))))))
(/.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))) (cbrt.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 (*.f64 1 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2))))))
(/.f64 (*.f64 1 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)))) (cbrt.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2))))))
(/.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)))) (cbrt.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))) 1) (cbrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))) 1) (cbrt.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))) (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))) 1))
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 1)
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2/3)
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) -1)
(+.f64 (/.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)) 1/4)) (neg.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 x) (log.f64 2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 x))) (-.f64 1 (log.f64 2)))
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(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/8) 3) (pow.f64 (pow.f64 (log.f64 2) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2)))))) (+.f64 (*.f64 1/64 (pow.f64 x 6)) (-.f64 (pow.f64 (log.f64 2) 6) (*.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) 1) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (sqrt.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)))) (sqrt.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))) (cbrt.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))) (cbrt.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 1/2 x)))) (-.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (log.f64 2))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) 1) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2)))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (sqrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2)))))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2))))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2))))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) 1))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)) 1/4)) (/.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)) 1/4))) (*.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 x) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 x) (log.f64 2))))) (+.f64 (/.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)) 1/4)) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 x) (log.f64 2)))))
(neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (neg.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)))))
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2)))))))
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 x))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))
Outputs
(pow.f64 (log.f64 2) 1/3)
(cbrt.f64 (log.f64 2))
(+.f64 (pow.f64 (log.f64 2) 1/3) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) x)))
(+.f64 (*.f64 1/6 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) x)) (cbrt.f64 (log.f64 2)))
(fma.f64 1/6 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) x) (cbrt.f64 (log.f64 2)))
(+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (pow.f64 x 2))) (+.f64 (pow.f64 (log.f64 2) 1/3) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) x))))
(fma.f64 -1/36 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (*.f64 x x)) (+.f64 (*.f64 1/6 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) x)) (cbrt.f64 (log.f64 2))))
(fma.f64 -1/36 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (*.f64 x x)) (fma.f64 1/6 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) x) (cbrt.f64 (log.f64 2))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (*.f64 (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (pow.f64 x 3)))) (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (pow.f64 x 2))) (+.f64 (pow.f64 (log.f64 2) 1/3) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) x)))))
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (*.f64 (+.f64 (*.f64 -1/36 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216)) (pow.f64 x 3))) (fma.f64 -1/36 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (*.f64 x x)) (+.f64 (*.f64 1/6 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) x)) (cbrt.f64 (log.f64 2)))))
(fma.f64 -1/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) -5/216) (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (fma.f64 -1/36 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (*.f64 x x)) (fma.f64 1/6 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) x) (cbrt.f64 (log.f64 2)))))
(*.f64 (pow.f64 1 1/3) (log.f64 2))
(log.f64 2)
(+.f64 (*.f64 (pow.f64 1 1/3) (log.f64 2)) (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/6 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) x))
(+.f64 (log.f64 2) (*.f64 x (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) 1/2)))
(fma.f64 x (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) 1/2)) (log.f64 2))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)))) (+.f64 (*.f64 1/18 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (*.f64 -1/36 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 1 1/3) (log.f64 2)) (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/6 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) x)))
(fma.f64 (fma.f64 (cbrt.f64 (log.f64 2)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18)) -1/36) (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) 1/36)) (*.f64 x x) (+.f64 (log.f64 2) (*.f64 x (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) 1/2))))
(fma.f64 (fma.f64 (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18))) (cbrt.f64 (log.f64 2)) (*.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)))) (*.f64 x x) (fma.f64 x (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) 1/2)) (log.f64 2)))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)))) (+.f64 (*.f64 1/18 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (*.f64 -1/36 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 1 1/3) (log.f64 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))) (*.f64 -1/108 (*.f64 (pow.f64 1 1/9) (/.f64 1 (log.f64 2)))))) (*.f64 -1/108 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)))))) (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/6 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) x))))
(fma.f64 (fma.f64 (cbrt.f64 (log.f64 2)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18)) -1/36) (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) 1/36)) (*.f64 x x) (+.f64 (log.f64 2) (fma.f64 (fma.f64 1/6 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18)) -1/36)) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 -1/36 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216))) (fma.f64 (cbrt.f64 (log.f64 2)) (fma.f64 -2/3 (*.f64 (+.f64 (*.f64 -1/36 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216)) (cbrt.f64 (/.f64 1 (log.f64 2)))) (*.f64 (/.f64 1 (log.f64 2)) -1/108)) (*.f64 -1/108 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))))))) (pow.f64 x 3) (*.f64 x (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (pow.f64 (pow.f64 (log.f64 2) 4) 1/18)) 1/2)))))
(+.f64 (fma.f64 (pow.f64 x 3) (fma.f64 1/6 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18)))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) -5/216) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) -1/108 (*.f64 (fma.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 1 (log.f64 2)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) -5/216) (/.f64 -1/108 (log.f64 2))) (cbrt.f64 (log.f64 2)))))) (*.f64 x (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) 1/2)))) (fma.f64 (fma.f64 (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18))) (cbrt.f64 (log.f64 2)) (*.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)))) (*.f64 x x) (log.f64 2)))
(+.f64 (fma.f64 (fma.f64 (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18))) (cbrt.f64 (log.f64 2)) (*.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)))) (*.f64 x x) (fma.f64 x (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) (*.f64 (pow.f64 (pow.f64 (log.f64 2) 4) 1/18) 1/2)) (log.f64 2))) (*.f64 (pow.f64 x 3) (fma.f64 1/6 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/18)))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) -5/216) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) -1/108 (*.f64 (fma.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 1 (log.f64 2)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) -5/216) (/.f64 -1/108 (log.f64 2))) (cbrt.f64 (log.f64 2))))))))
(+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))) -1)
(cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))) 1)
(cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 1)
(cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 1 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 1/6) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 1/6))
(cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 2))
(cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2)))
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(neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (neg.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)))))
(-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x 1/2) (log.f64 2))) 1/4) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 x 1/2) (log.f64 2))))
(/.f64 (-.f64 (*.f64 x (*.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 x 1/2) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (-.f64 (*.f64 1/2 x) (log.f64 2)))))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/2 (*.f64 x (-.f64 (*.f64 x 1/2) (log.f64 2)))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 1/2 (*.f64 x (-.f64 (*.f64 x 1/2) (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))
(fabs.f64 (fma.f64 x 1/2 (log.f64 2)))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))
(log.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))))
(fma.f64 x 1/2 (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))
(fma.f64 x 1/2 (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1 (*.f64 1/2 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 x))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))

eval412.0ms (4.4%)

Compiler

Compiled 17400 to 14007 computations (19.5% saved)

prune173.0ms (1.8%)

Pruning

23 alts after pruning (15 fresh and 8 done)

PrunedKeptTotal
New73311744
Fresh145
Picked011
Done279
Total73623759
Error
0.2b
Counts
759 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
✓32.5b
(pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))) 3)
54.1b
(/.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 x)) (+.f64 1/2 y))
54.1b
(/.f64 (/.f64 x (/.f64 1 (-.f64 1/4 (*.f64 y y)))) (+.f64 1/2 y))
54.1b
(/.f64 (/.f64 1 (/.f64 (/.f64 1 x) (-.f64 1/4 (*.f64 y y)))) (+.f64 1/2 y))
53.4b
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
61.9b
(/.f64 (*.f64 1/4 x) (+.f64 1/2 y))
54.2b
(/.f64 (neg.f64 (*.f64 x (*.f64 y y))) (+.f64 1/2 y))
43.2b
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
✓7.7b
(-.f64 (log.f64 2) (*.f64 x y))
7.8b
(+.f64 (/.f64 x (/.f64 -1 y)) (log.f64 2))
14.1b
(+.f64 (*.f64 (-.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) y) x) (*.f64 3 (log.f64 (cbrt.f64 2))))
✓31.4b
(+.f64 (*.f64 1/2 x) (log.f64 2))
32.0b
(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x 1/2))))
57.8b
(*.f64 (/.f64 x (-.f64 1/4 (*.f64 y y))) (*.f64 (-.f64 1/4 (*.f64 y y)) (-.f64 1/2 y)))
53.3b
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
57.8b
(*.f64 (/.f64 1 (-.f64 1/4 (*.f64 y y))) (*.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y)))
54.1b
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 x (-.f64 1/4 (*.f64 y y))))
32.9b
(*.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3)
✓31.2b
(*.f64 x (neg.f64 y))
✓61.7b
(*.f64 1/2 x)
✓31.5b
(log1p.f64 (exp.f64 x))
✓31.5b
(log.f64 (+.f64 1 (exp.f64 x)))
✓31.9b
(log.f64 2)
Compiler

Compiled 262 to 201 computations (23.3% saved)

regimes55.0ms (0.6%)

Counts
34 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 (*.f64 1/4 x) (+.f64 1/2 y))
(/.f64 (neg.f64 (*.f64 x (*.f64 y y))) (+.f64 1/2 y))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 x (-.f64 1/4 (*.f64 y y))))
(/.f64 (/.f64 x (/.f64 1 (-.f64 1/4 (*.f64 y y)))) (+.f64 1/2 y))
(/.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 x)) (+.f64 1/2 y))
(/.f64 (/.f64 1 (/.f64 (/.f64 1 x) (-.f64 1/4 (*.f64 y y)))) (+.f64 1/2 y))
(*.f64 (/.f64 x (-.f64 1/4 (*.f64 y y))) (*.f64 (-.f64 1/4 (*.f64 y y)) (-.f64 1/2 y)))
(*.f64 (/.f64 1 (-.f64 1/4 (*.f64 y y))) (*.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y)))
(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 x (/.f64 -1 y)) (log.f64 2))
(+.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))) (log.f64 2))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(*.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(+.f64 (log.f64 2) (expm1.f64 (log1p.f64 (*.f64 x 1/2))))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))) 3)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) 3)
(-.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3) (*.f64 x y))
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(+.f64 (*.f64 (-.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) y) x) (*.f64 3 (log.f64 (cbrt.f64 2))))
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Calls

3 calls:

17.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
16.0ms
y
15.0ms
x
Results
ErrorSegmentsBranch
0.5b1x
0.5b1y
0.5b1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 332 to 217 computations (34.6% saved)

regimes53.0ms (0.6%)

Counts
23 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 (*.f64 1/4 x) (+.f64 1/2 y))
(/.f64 (neg.f64 (*.f64 x (*.f64 y y))) (+.f64 1/2 y))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 x (-.f64 1/4 (*.f64 y y))))
(/.f64 (/.f64 x (/.f64 1 (-.f64 1/4 (*.f64 y y)))) (+.f64 1/2 y))
(/.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 x)) (+.f64 1/2 y))
(/.f64 (/.f64 1 (/.f64 (/.f64 1 x) (-.f64 1/4 (*.f64 y y)))) (+.f64 1/2 y))
(*.f64 (/.f64 x (-.f64 1/4 (*.f64 y y))) (*.f64 (-.f64 1/4 (*.f64 y y)) (-.f64 1/2 y)))
(*.f64 (/.f64 1 (-.f64 1/4 (*.f64 y y))) (*.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y)))
(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 x (/.f64 -1 y)) (log.f64 2))
(+.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))) (log.f64 2))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
Outputs
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
Calls

2 calls:

29.0ms
x
18.0ms
y
Results
ErrorSegmentsBranch
0.2b2x
7.7b1y
Compiler

Compiled 215 to 137 computations (36.3% saved)

bsearch16.0ms (0.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
16.0ms
-1200.0636738528349
-55.231536061790706
Results
13.0ms108×body256valid
1.0ms4×body512valid
Compiler

Compiled 142 to 110 computations (22.5% saved)

regimes41.0ms (0.4%)

Counts
18 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 (*.f64 1/4 x) (+.f64 1/2 y))
(/.f64 (neg.f64 (*.f64 x (*.f64 y y))) (+.f64 1/2 y))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 x (-.f64 1/4 (*.f64 y y))))
(/.f64 (/.f64 x (/.f64 1 (-.f64 1/4 (*.f64 y y)))) (+.f64 1/2 y))
(/.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 x)) (+.f64 1/2 y))
(/.f64 (/.f64 1 (/.f64 (/.f64 1 x) (-.f64 1/4 (*.f64 y y)))) (+.f64 1/2 y))
(*.f64 (/.f64 x (-.f64 1/4 (*.f64 y y))) (*.f64 (-.f64 1/4 (*.f64 y y)) (-.f64 1/2 y)))
(*.f64 (/.f64 1 (-.f64 1/4 (*.f64 y y))) (*.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y)))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
Outputs
(*.f64 x (neg.f64 y))
(-.f64 (log.f64 2) (*.f64 x y))
Calls

2 calls:

22.0ms
x
9.0ms
y
Results
ErrorSegmentsBranch
0.8b2x
7.7b1y
Compiler

Compiled 181 to 112 computations (38.1% saved)

bsearch25.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
25.0ms
-1200.0636738528349
-55.231536061790706
Results
22.0ms106×body256valid
2.0ms6×body512valid
Compiler

Compiled 128 to 96 computations (25% saved)

regimes85.0ms (0.9%)

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

2 calls:

40.0ms
x
40.0ms
y
Results
ErrorSegmentsBranch
11.3b4x
19.9b3y
Compiler

Compiled 175 to 108 computations (38.3% saved)

bsearch56.0ms (0.6%)

Algorithm
3×binary-search
Steps
TimeLeftRight
23.0ms
7.071855529262088e-16
2.498293654032387e-12
20.0ms
6.557515660475679e-48
1.3547599658138548e-34
13.0ms
-1.3340927478209564e-110
-7.496521014036985e-113
Results
51.0ms400×body256valid
Compiler

Compiled 366 to 304 computations (16.9% saved)

regimes72.0ms (0.8%)

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

2 calls:

37.0ms
x
31.0ms
y
Results
ErrorSegmentsBranch
11.6b4x
20.2b3y
Compiler

Compiled 169 to 103 computations (39.1% saved)

bsearch60.0ms (0.6%)

Algorithm
3×binary-search
Steps
TimeLeftRight
15.0ms
7.071855529262088e-16
2.498293654032387e-12
23.0ms
6.557515660475679e-48
1.3547599658138548e-34
22.0ms
-1.3340927478209564e-110
-7.496521014036985e-113
Results
55.0ms400×body256valid
Compiler

Compiled 334 to 280 computations (16.2% saved)

regimes20.0ms (0.2%)

Accuracy

Total -31.8b remaining (-101.9%)

Threshold costs -31.8b (-101.9%)

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

2 calls:

8.0ms
x
7.0ms
y
Results
ErrorSegmentsBranch
31.2b1x
31.2b1y
Compiler

Compiled 167 to 101 computations (39.5% saved)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
20×+-commutative
16×*-commutative
10×sub-neg
6×neg-mul-1
6×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045253
168253
280253
385253
487253
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -56) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -88) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -8799977056535789/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144) (*.f64 x (neg.f64 y)) (if (<=.f64 x 3180227562832045/187072209578355573530071658587684226515959365500928) (log.f64 2) (if (<=.f64 x 4555619344570199/9903520314283042199192993792) (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/2 x) (log.f64 2)))))
(if (<=.f64 x -8799977056535789/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144) (*.f64 x (neg.f64 y)) (if (<=.f64 x 5363734393030611/95780971304118053647396689196894323976171195136475136) (log.f64 2) (if (<=.f64 x 2028240960365167/633825300114114700748351602688) (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -56) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -56) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -88) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -8799977056535789/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144) (*.f64 x (neg.f64 y)) (if (<=.f64 x 3180227562832045/187072209578355573530071658587684226515959365500928) (log.f64 2) (if (<=.f64 x 4555619344570199/9903520314283042199192993792) (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/2 x) (log.f64 2)))))
(if (<=.f64 x -8799977056535789/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144) (*.f64 x (neg.f64 y)) (if (<=.f64 x 3180227562832045/187072209578355573530071658587684226515959365500928) (log.f64 2) (if (<=.f64 x 4555619344570199/9903520314283042199192993792) (*.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) (*.f64 x 1/2)))))
(if (<=.f64 x -8799977056535789/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144) (*.f64 x (neg.f64 y)) (if (<=.f64 x 5363734393030611/95780971304118053647396689196894323976171195136475136) (log.f64 2) (if (<=.f64 x 2028240960365167/633825300114114700748351602688) (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(if (<=.f64 x -8799977056535789/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144) (*.f64 x (neg.f64 y)) (if (<=.f64 x 5363734393030611/95780971304118053647396689196894323976171195136475136) (log.f64 2) (if (<=.f64 x 2028240960365167/633825300114114700748351602688) (*.f64 x (-.f64 1/2 y)) (log.f64 2))))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)
Compiler

Compiled 112 to 81 computations (27.7% saved)

soundness282.0ms (3%)

Algorithm
2×egg-herbie
Rules
1042×associate-*l*
1014×+-commutative
912×associate-/r*
776×unswap-sqr
776×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121
12121
23221
35121
46921
511321
618821
723821
832921
949021
1054421
1157121
1265021
1393121
14181521
15516721
16611021
01572193
13962073
219552073
378442073
Stop Event
1×node limit
1×node limit
Compiler

Compiled 38 to 21 computations (44.7% saved)

end68.0ms (0.7%)

Compiler

Compiled 100 to 60 computations (40% saved)

Profiling

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