Details

Time bar (total: 9.2s)

analyze137.0ms (1.5%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
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)

sample4.0s (43.1%)

Results
2.5s2537×body8192exit
1.1s7760×body256valid
224.0ms283×body512valid
99.0ms212×body1024valid
19.0ms146×body256infinite
2.0msbody2048valid
Bogosity

preprocess78.0ms (0.8%)

Algorithm
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
saturated
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)

simplify74.0ms (0.8%)

Algorithm
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
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

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.3b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.2b
(log1p.f64 (exp.f64 x))
Compiler

Compiled 19 to 6 computations (68.4% saved)

series42.0ms (0.5%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
21.0ms
x
@inf
(log1p.f64 (exp.f64 x))
17.0ms
x
@-inf
(log1p.f64 (exp.f64 x))
3.0ms
y
@0
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms
x
@0
(log1p.f64 (exp.f64 x))
0.0ms
x
@inf
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite70.0ms (0.8%)

Algorithm
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
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)))))))

simplify78.0ms (0.8%)

Algorithm
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
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))

eval15.0ms (0.2%)

Compiler

Compiled 1130 to 411 computations (63.6% saved)

prune19.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New76480
Fresh000
Picked011
Done000
Total76581
Error
0.2b
Counts
81 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
12.4b
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
0.3b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
6.3b
(-.f64 (log.f64 2) (*.f64 x y))
12.4b
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
34.9b
(*.f64 x (neg.f64 y))
Compiler

Compiled 42 to 31 computations (26.2% saved)

localize4.0ms (0%)

Compiler

Compiled 10 to 4 computations (60% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 24 to 17 computations (29.2% saved)

series5.0ms (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
y
@inf
(*.f64 (-.f64 1/2 y) x)
0.0ms
x
@inf
(*.f64 (-.f64 1/2 y) x)
0.0ms
x
@0
(*.f64 (-.f64 1/2 y) x)

rewrite86.0ms (0.9%)

Algorithm
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
node limit
Counts
2 → 121
Calls
Call 1
Inputs
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
Outputs
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((#(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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simplify102.0ms (1.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
03437768
19696680
242036680
Stop Event
node limit
Counts
148 → 214
Calls
Call 1
Inputs
(*.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)))
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(/.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))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.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 y (neg.f64 x))
(+.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 y (neg.f64 x))
(+.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)
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 x (neg.f64 y)))
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 1/2 x))
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1 (*.f64 1/2 x)) (*.f64 1 (*.f64 x (neg.f64 y))))
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 (*.f64 1/2 x) 1) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1)
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(fma.f64 x (neg.f64 y) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.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 1/8 (pow.f64 y 3)) (/.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y))) x))
(*.f64 (/.f64 (-.f64 1/8 (pow.f64 y 3)) (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))) x)
(*.f64 (/.f64 x (fma.f64 y (+.f64 1/2 y) 1/4)) (-.f64 1/8 (pow.f64 y 3)))
(*.f64 x (/.f64 (-.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 1/2 y) 1/4)))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
(*.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 x (-.f64 1/8 (pow.f64 y 3))) (+.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 (/.f64 x (fma.f64 y (+.f64 1/2 y) 1/4)) (-.f64 1/8 (pow.f64 y 3)))
(*.f64 x (/.f64 (-.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 1/2 y) 1/4)))
(/.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 (-.f64 1/8 (pow.f64 y 3)) (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))) x)
(*.f64 (/.f64 x (fma.f64 y (+.f64 1/2 y) 1/4)) (-.f64 1/8 (pow.f64 y 3)))
(*.f64 x (/.f64 (-.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 1/2 y) 1/4)))
(/.f64 (*.f64 x (+.f64 -1/4 (*.f64 y y))) (neg.f64 (+.f64 1/2 y)))
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
(*.f64 (/.f64 x (-.f64 -1/2 y)) (fma.f64 y y -1/4))
(/.f64 (*.f64 x (neg.f64 (-.f64 1/8 (pow.f64 y 3)))) (+.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 x (fma.f64 y (-.f64 -1/2 y) -1/4)) (+.f64 -1/8 (pow.f64 y 3)))
(*.f64 (/.f64 x (fma.f64 y (-.f64 -1/2 y) -1/4)) (+.f64 (pow.f64 y 3) -1/8))
(/.f64 (*.f64 1 (*.f64 x (-.f64 1/4 (*.f64 y y)))) (+.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 1 (*.f64 x (-.f64 1/8 (pow.f64 y 3)))) (+.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 (/.f64 x (fma.f64 y (+.f64 1/2 y) 1/4)) (-.f64 1/8 (pow.f64 y 3)))
(*.f64 x (/.f64 (-.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 1/2 y) 1/4)))
(/.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 x (sqrt.f64 (-.f64 1/2 y))) (/.f64 (sqrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))) (sqrt.f64 (-.f64 1/8 (pow.f64 y 3)))))
(*.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 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/4 (*.f64 y y)))) (sqrt.f64 (+.f64 1/2 y)))
(/.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (/.f64 (sqrt.f64 (+.f64 1/2 y)) (sqrt.f64 (-.f64 1/4 (*.f64 y 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 x (sqrt.f64 (+.f64 1/2 y))) (*.f64 (sqrt.f64 (-.f64 1/2 y)) (sqrt.f64 (-.f64 1/4 (*.f64 y 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 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 x (cbrt.f64 (fma.f64 y (+.f64 1/2 y) 1/4))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (cbrt.f64 (-.f64 1/8 (pow.f64 y 3)))))
(/.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 (/.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (+.f64 1/2 y))) (cbrt.f64 (-.f64 1/4 (*.f64 y y))))
(*.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 (/.f64 x (fma.f64 y (+.f64 1/2 y) 1/4)) (-.f64 1/8 (pow.f64 y 3)))
(*.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)))
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(/.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 (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 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) 1) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 (*.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 (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 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) 1) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 (*.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 (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)))
(pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(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)))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (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)))))))
(/.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 1 (/.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 1 (/.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)))
(+.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 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(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))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 1 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 (-.f64 1/2 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))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 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))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(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))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(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))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))

localize8.0ms (0.1%)

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))

rewrite57.0ms (0.6%)

Algorithm
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
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)))))))

simplify61.0ms (0.7%)

Algorithm
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
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))

localize14.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 18 to 13 computations (27.8% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite58.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
898×*-commutative
640×unswap-sqr
518×swap-sqr
414×associate-*r/
392×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01119
122619
2266719
Stop Event
node limit
Counts
1 → 41
Calls
Call 1
Inputs
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1/2 y) x) (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 (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 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)))) (#(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 (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 #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (*.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.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 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (exp.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))))

simplify65.0ms (0.7%)

Algorithm
egg-herbie
Rules
1120×associate-/l*
1004×associate-/r*
938×associate-+r+
888×associate-+l+
778×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01152667
12802095
210082067
337792067
Stop Event
node limit
Counts
65 → 64
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 (-.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 (log.f64 2) (*.f64 (-.f64 1/2 y) x))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) -1)
(-.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (*.f64 (-.f64 1/2 y) x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)
(-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (exp.f64 (log1p.f64 (log.f64 2)))) 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 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 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 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (*.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/6))
(/.f64 1 (/.f64 (-.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 1 (/.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 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))))
(/.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 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 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 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))
(/.f64 (*.f64 1 (-.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 1 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 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 (-.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 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 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 (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 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1))
(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)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))
(log.f64 (*.f64 2 (exp.f64 (*.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))))
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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
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(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1))
(/.f64 (*.f64 (+.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1) (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (+.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1))
(pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (*.f64 2 (exp.f64 (*.f64 (-.f64 1/2 y) x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(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))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))

eval184.0ms (2%)

Compiler

Compiled 7946 to 6230 computations (21.6% saved)

prune69.0ms (0.7%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New3235328
Fresh000
Picked011
Done134
Total3249333
Error
0.2b
Counts
333 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
12.4b
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
0.3b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
6.3b
(-.f64 (log.f64 2) (*.f64 x y))
27.8b
(+.f64 (*.f64 1/2 x) (log.f64 2))
23.0b
(+.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (log.f64 2))
46.7b
(*.f64 (-.f64 1/2 y) x)
34.9b
(*.f64 x (neg.f64 y))
27.9b
(log.f64 2)
21.2b
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
Compiler

Compiled 118 to 95 computations (19.5% saved)

localize26.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
0.0b
(log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
0.7b
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
Compiler

Compiled 35 to 26 computations (25.7% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite69.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
970×*-commutative
690×unswap-sqr
556×swap-sqr
460×associate-*r/
430×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01342
126442
2289842
Stop Event
node limit
Counts
2 → 71
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 (-.f64 1/2 y) x)) (+.f64 (log.f64 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 (-.f64 1/2 y) x)) (-.f64 (log.f64 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1) 1)))) (#(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 (+.f64 2 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 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 (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 #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (*.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)) (cbrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (sqrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2) (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (sqrt.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (*.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (sqrt.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3) 1/6) (pow.f64 (pow.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))))

simplify81.0ms (0.9%)

Algorithm
egg-herbie
Rules
1704×associate-/l*
1460×associate-/r*
852×+-commutative
764×*-commutative
508×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02826119
17815289
233005273
Stop Event
node limit
Counts
119 → 190
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))))
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(*.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 (-.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)
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(*.f64 (-.f64 1/2 y) x)
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(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(log.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))))
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(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (log.f64 (*.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) (*.f64 y x)))))))
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(log.f64 (+.f64 1 (log.f64 2)))
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(+.f64 (+.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1) -1)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (+.f64 1 (*.f64 (-.f64 1/2 y) x)) (+.f64 (log.f64 2) -1))
(+.f64 (+.f64 1 (*.f64 (-.f64 1/2 y) x)) (-.f64 (log.f64 2) 1))
(+.f64 -1 (+.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1))
(-.f64 (+.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (*.f64 (-.f64 1/2 y) x)))
(-.f64 (+.f64 2 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)
(-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (exp.f64 (log1p.f64 (log.f64 2)))) 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 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (*.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)) 1) (-.f64 (sqrt.f64 (+.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)) 1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/6))
(/.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 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1) 2) 1) (+.f64 2 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1) 2) 1) (-.f64 (+.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1) -1))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 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 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1) 3) 1) (+.f64 (pow.f64 (+.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1) 2) (+.f64 2 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(/.f64 (*.f64 1 (-.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 1 (-.f64 (pow.f64 (+.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1) 2) 1)) (+.f64 2 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 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 1 (-.f64 (pow.f64 (+.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1) 3) 1)) (+.f64 (pow.f64 (+.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1) 2) (+.f64 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)) 1) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1) 2) 1) 1) (+.f64 2 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 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 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1) 3) 1) 1) (+.f64 (pow.f64 (+.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1) 2) (+.f64 2 (fma.f64 (-.f64 1/2 y) x (log.f64 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)))
(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)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))
(log.f64 (*.f64 2 (exp.f64 (*.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))
(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))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 1)
(*.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1)
(*.f64 1 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(*.f64 (sqrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (sqrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(*.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2) (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (sqrt.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (*.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (sqrt.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3) 1/6) (pow.f64 (pow.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3) 1/6))
(pow.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))
(log.f64 (+.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(exp.f64 (log.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))))
(log.f64 (fma.f64 1/2 x (+.f64 (log.f64 2) 1)))
(log.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))
(+.f64 (log.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2)))) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))))))
(+.f64 (log.f64 (fma.f64 1/2 x (+.f64 (log.f64 2) 1))) (/.f64 (neg.f64 (*.f64 x y)) (fma.f64 1/2 x (+.f64 (log.f64 2) 1))))
(-.f64 (log.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (*.f64 (/.f64 y (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) x))
(-.f64 (log.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (/.f64 x (/.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) y)))
(+.f64 (log.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 2))) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2)))))))
(+.f64 (log.f64 (fma.f64 1/2 x (+.f64 (log.f64 2) 1))) (fma.f64 -1/2 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (fma.f64 1/2 x (+.f64 (log.f64 2) 1)) 2) (*.f64 x x))) (/.f64 (neg.f64 (*.f64 x y)) (fma.f64 1/2 x (+.f64 (log.f64 2) 1)))))
(+.f64 (log.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (-.f64 (*.f64 -1/2 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (*.f64 x x)))) (*.f64 (/.f64 y (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) x)))
(-.f64 (*.f64 (/.f64 (*.f64 -1/2 (*.f64 y y)) (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2)) (*.f64 x x)) (-.f64 (/.f64 x (/.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) y)) (log.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))))
(+.f64 (log.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 2))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 3)) (pow.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 3))) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))))))))
(+.f64 (log.f64 (fma.f64 1/2 x (+.f64 (log.f64 2) 1))) (fma.f64 -1/2 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (fma.f64 1/2 x (+.f64 (log.f64 2) 1)) 2) (*.f64 x x))) (fma.f64 -1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 3)) (pow.f64 (fma.f64 1/2 x (+.f64 (log.f64 2) 1)) 3)) (/.f64 (neg.f64 (*.f64 x y)) (fma.f64 1/2 x (+.f64 (log.f64 2) 1))))))
(+.f64 (log.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (fma.f64 -1/2 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (*.f64 x x))) (-.f64 (*.f64 -1/3 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 3) (pow.f64 x 3)))) (*.f64 (/.f64 y (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) x))))
(+.f64 (log.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (-.f64 (fma.f64 -1/2 (*.f64 (*.f64 x x) (/.f64 (*.f64 y y) (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2))) (*.f64 (/.f64 -1/3 (/.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 3) (pow.f64 x 3))) (pow.f64 y 3))) (/.f64 x (/.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) y))))
(+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 y))
(+.f64 (log.f64 (*.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) (*.f64 y x)))))
(+.f64 (log.f64 (neg.f64 x)) (fma.f64 -1 (neg.f64 (log.f64 y)) (neg.f64 (/.f64 (fma.f64 1/2 x (+.f64 (log.f64 2) 1)) (*.f64 x y)))))
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (log.f64 y) (/.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) (*.f64 x y))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (log.f64 (*.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) (*.f64 y x))))))
(fma.f64 -1/2 (/.f64 (pow.f64 (fma.f64 1/2 x (+.f64 (log.f64 2) 1)) 2) (*.f64 (*.f64 y y) (*.f64 x x))) (+.f64 (log.f64 (neg.f64 x)) (fma.f64 -1 (neg.f64 (log.f64 y)) (neg.f64 (/.f64 (fma.f64 1/2 x (+.f64 (log.f64 2) 1)) (*.f64 x y))))))
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(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) 1)
(log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1)
(log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 1 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (sqrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (sqrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))
(log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2) (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
(log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (sqrt.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (*.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (sqrt.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))
(log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3/2))
(log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3) 1/6) (pow.f64 (pow.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3) 1/6))
(log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(pow.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1)
(log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(pow.f64 (sqrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)
(log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3)
(log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(pow.f64 (pow.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3) 1/3)
(log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(sqrt.f64 (pow.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))
(fabs.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(log.f64 (+.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1))
(log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(cbrt.f64 (pow.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3))
(log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(expm1.f64 (log1p.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(exp.f64 (log.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))

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)

localize9.0ms (0.1%)

Compiler

Compiled 5 to 5 computations (0% saved)

localize9.0ms (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)

series0.0ms (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))

rewrite57.0ms (0.6%)

Algorithm
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
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))))))

simplify52.0ms (0.6%)

Algorithm
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
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))

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (log.f64 2))
0.0b
(*.f64 (-.f64 1/2 y) x)
0.2b
(pow.f64 (*.f64 (-.f64 1/2 y) x) 3)
36.8b
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))
Compiler

Compiled 43 to 32 computations (25.6% saved)

series5.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite109.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1154×associate-*r/
976×associate-*l/
788×distribute-rgt-in
748×distribute-lft-in
288×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01455
130651
2358151
Stop Event
node limit
Counts
3 → 268
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))
(pow.f64 (*.f64 (-.f64 1/2 y) x) 3)
(+.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (log.f64 2))
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 (pow.f64 1 1/3) (*.f64 x 1/2)) (*.f64 (pow.f64 1 1/3) (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 1 1/3) (*.f64 1/2 x)) (*.f64 (pow.f64 1 1/3) (*.f64 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(#(struct:change #<rule egg-rr> (2) ((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))))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))))))

simplify131.0ms (1.4%)

Algorithm
egg-herbie
Rules
1322×associate-*r*
1270×associate-*l*
1080×associate-/l*
718×*-commutative
500×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
071014824
1198814148
Stop Event
node limit
Counts
340 → 409
Calls
Call 1
Inputs
(*.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 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 -1 (*.f64 (-.f64 1/2 y) (*.f64 (cbrt.f64 -1) x)))
(*.f64 -1 (*.f64 (-.f64 1/2 y) (*.f64 (cbrt.f64 -1) x)))
(*.f64 -1 (*.f64 (-.f64 1/2 y) (*.f64 (cbrt.f64 -1) x)))
(*.f64 -1 (*.f64 (-.f64 1/2 y) (*.f64 (cbrt.f64 -1) x)))
(*.f64 1/8 (pow.f64 x 3))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 y (+.f64 (*.f64 -1/4 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 y (+.f64 (*.f64 -1/4 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3))))))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 y (+.f64 (*.f64 -1/4 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))))))
(*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 x 3)))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))) (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 x 3))))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 y (+.f64 (*.f64 -1/4 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3))))))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 y (+.f64 (*.f64 -1/4 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))))))
(*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 x 3)))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))) (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 x 3))))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (*.f64 y (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 1/4 (pow.f64 x 3)))))))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (*.f64 y (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 1/4 (pow.f64 x 3))))))))
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(+.f64 (*.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 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(*.f64 -1 (*.f64 (-.f64 1/2 y) (*.f64 (cbrt.f64 -1) x)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1/2 y) (*.f64 (cbrt.f64 -1) x))) (log.f64 2))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1/2 y) (*.f64 (cbrt.f64 -1) x))) (log.f64 2))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1/2 y) (*.f64 (cbrt.f64 -1) x))) (log.f64 2))
(+.f64 (*.f64 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 (pow.f64 1 1/3) (*.f64 x 1/2)) (*.f64 (pow.f64 1 1/3) (*.f64 x (neg.f64 y))))
(+.f64 (*.f64 (pow.f64 1 1/3) (*.f64 1/2 x)) (*.f64 (pow.f64 1 1/3) (*.f64 (neg.f64 y) x)))
(+.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 (*.f64 x 1/2) (pow.f64 1 1/3)) (*.f64 (*.f64 x (neg.f64 y)) (pow.f64 1 1/3)))
(+.f64 (*.f64 (*.f64 1/2 x) (pow.f64 1 1/3)) (*.f64 (*.f64 (neg.f64 y) x) (pow.f64 1 1/3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1)
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (*.f64 (-.f64 1/2 y) x) 1)
(*.f64 1 (*.f64 (-.f64 1/2 y) x))
(*.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)))
(*.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) 1/3) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 (pow.f64 1 1/3) (*.f64 (-.f64 1/2 y) x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3/2) 1/3))
(*.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))))))
(*.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y))
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(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (*.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (neg.f64 (log.f64 2)))) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (neg.f64 (log.f64 2)))))) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (neg.f64 (log.f64 2)))))
(/.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 (-.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)
(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))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1))
(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 (*.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
(*.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 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 (-.f64 1/2 y) (*.f64 (cbrt.f64 -1) x)))
(neg.f64 (*.f64 (-.f64 1/2 y) (*.f64 x (cbrt.f64 -1))))
(*.f64 (*.f64 x (cbrt.f64 -1)) (+.f64 -1/2 y))
(*.f64 -1 (*.f64 (-.f64 1/2 y) (*.f64 (cbrt.f64 -1) x)))
(neg.f64 (*.f64 (-.f64 1/2 y) (*.f64 x (cbrt.f64 -1))))
(*.f64 (*.f64 x (cbrt.f64 -1)) (+.f64 -1/2 y))
(*.f64 -1 (*.f64 (-.f64 1/2 y) (*.f64 (cbrt.f64 -1) x)))
(neg.f64 (*.f64 (-.f64 1/2 y) (*.f64 x (cbrt.f64 -1))))
(*.f64 (*.f64 x (cbrt.f64 -1)) (+.f64 -1/2 y))
(*.f64 -1 (*.f64 (-.f64 1/2 y) (*.f64 (cbrt.f64 -1) x)))
(neg.f64 (*.f64 (-.f64 1/2 y) (*.f64 x (cbrt.f64 -1))))
(*.f64 (*.f64 x (cbrt.f64 -1)) (+.f64 -1/2 y))
(*.f64 1/8 (pow.f64 x 3))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 y (+.f64 (*.f64 -1/4 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))))
(fma.f64 1/8 (pow.f64 x 3) (*.f64 y (*.f64 (pow.f64 x 3) -3/4)))
(fma.f64 1/8 (pow.f64 x 3) (*.f64 (pow.f64 x 3) (*.f64 -3/4 y)))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 y (+.f64 (*.f64 -1/4 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3))))))
(fma.f64 (*.f64 y y) (*.f64 3/2 (pow.f64 x 3)) (fma.f64 1/8 (pow.f64 x 3) (*.f64 y (*.f64 (pow.f64 x 3) -3/4))))
(fma.f64 (*.f64 y y) (*.f64 (pow.f64 x 3) 3/2) (fma.f64 1/8 (pow.f64 x 3) (*.f64 (pow.f64 x 3) (*.f64 -3/4 y))))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 y (+.f64 (*.f64 -1/4 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))))))
(fma.f64 (*.f64 y y) (*.f64 3/2 (pow.f64 x 3)) (fma.f64 -1 (*.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/8 (pow.f64 x 3) (*.f64 y (*.f64 (pow.f64 x 3) -3/4)))))
(fma.f64 (*.f64 y y) (*.f64 (pow.f64 x 3) 3/2) (+.f64 (*.f64 (pow.f64 x 3) (*.f64 -3/4 y)) (*.f64 (pow.f64 x 3) (-.f64 1/8 (pow.f64 y 3)))))
(*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 x 3)))
(neg.f64 (*.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 (pow.f64 x 3) (pow.f64 (neg.f64 y) 3))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))) (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 x 3))))
(fma.f64 (*.f64 y y) (*.f64 3/2 (pow.f64 x 3)) (neg.f64 (*.f64 (pow.f64 x 3) (pow.f64 y 3))))
(-.f64 (*.f64 (*.f64 (*.f64 y y) 3/2) (pow.f64 x 3)) (*.f64 (pow.f64 x 3) (pow.f64 y 3)))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 y (+.f64 (*.f64 -1/4 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3))))))
(fma.f64 (*.f64 y y) (*.f64 3/2 (pow.f64 x 3)) (fma.f64 -1 (*.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 y (*.f64 (pow.f64 x 3) -3/4))))
(fma.f64 (*.f64 y y) (*.f64 (pow.f64 x 3) 3/2) (-.f64 (*.f64 (pow.f64 x 3) (*.f64 -3/4 y)) (*.f64 (pow.f64 x 3) (pow.f64 y 3))))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 y (+.f64 (*.f64 -1/4 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3)))))))
(fma.f64 (*.f64 y y) (*.f64 3/2 (pow.f64 x 3)) (fma.f64 -1 (*.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/8 (pow.f64 x 3) (*.f64 y (*.f64 (pow.f64 x 3) -3/4)))))
(fma.f64 (*.f64 y y) (*.f64 (pow.f64 x 3) 3/2) (+.f64 (*.f64 (pow.f64 x 3) (*.f64 -3/4 y)) (*.f64 (pow.f64 x 3) (-.f64 1/8 (pow.f64 y 3)))))
(*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 x 3)))
(neg.f64 (*.f64 (pow.f64 x 3) (pow.f64 y 3)))
(*.f64 (pow.f64 x 3) (pow.f64 (neg.f64 y) 3))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))) (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 x 3))))
(fma.f64 (*.f64 y y) (*.f64 3/2 (pow.f64 x 3)) (neg.f64 (*.f64 (pow.f64 x 3) (pow.f64 y 3))))
(-.f64 (*.f64 (*.f64 (*.f64 y y) 3/2) (pow.f64 x 3)) (*.f64 (pow.f64 x 3) (pow.f64 y 3)))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (*.f64 y (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 1/4 (pow.f64 x 3)))))))
(fma.f64 (*.f64 y y) (*.f64 3/2 (pow.f64 x 3)) (*.f64 -1 (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 y (*.f64 (pow.f64 x 3) 3/4)))))
(-.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) 3/2) (pow.f64 x 3)) (*.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (pow.f64 x 3) (*.f64 3/4 y)))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (*.f64 y (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 1/4 (pow.f64 x 3))))))))
(fma.f64 (*.f64 y y) (*.f64 3/2 (pow.f64 x 3)) (fma.f64 1/8 (pow.f64 x 3) (*.f64 -1 (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 y (*.f64 (pow.f64 x 3) 3/4))))))
(fma.f64 (*.f64 y y) (*.f64 (pow.f64 x 3) 3/2) (-.f64 (*.f64 (pow.f64 x 3) (-.f64 1/8 (pow.f64 y 3))) (*.f64 (pow.f64 x 3) (*.f64 3/4 y))))
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 3)
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 3)
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 3)
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 3)
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 3)
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 3)
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 3)
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 3)
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 3)
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 3)
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 3)
(*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 3)
(+.f64 (*.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 (-.f64 1/2 y) x) (log.f64 2))
(+.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 (-.f64 1/2 y) x) (log.f64 2))
(+.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 (-.f64 1/2 y) x) (log.f64 2))
(+.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 y) x)
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.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 (-.f64 1/2 y) x) (log.f64 2))
(+.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 (-.f64 1/2 y) x) (log.f64 2))
(+.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 (-.f64 1/2 y) (*.f64 (cbrt.f64 -1) x)))
(neg.f64 (*.f64 (-.f64 1/2 y) (*.f64 x (cbrt.f64 -1))))
(*.f64 (*.f64 x (cbrt.f64 -1)) (+.f64 -1/2 y))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1/2 y) (*.f64 (cbrt.f64 -1) x))) (log.f64 2))
(fma.f64 -1 (*.f64 (-.f64 1/2 y) (*.f64 x (cbrt.f64 -1))) (log.f64 2))
(+.f64 (*.f64 (*.f64 x (cbrt.f64 -1)) (+.f64 -1/2 y)) (log.f64 2))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1/2 y) (*.f64 (cbrt.f64 -1) x))) (log.f64 2))
(fma.f64 -1 (*.f64 (-.f64 1/2 y) (*.f64 x (cbrt.f64 -1))) (log.f64 2))
(+.f64 (*.f64 (*.f64 x (cbrt.f64 -1)) (+.f64 -1/2 y)) (log.f64 2))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1/2 y) (*.f64 (cbrt.f64 -1) x))) (log.f64 2))
(fma.f64 -1 (*.f64 (-.f64 1/2 y) (*.f64 x (cbrt.f64 -1))) (log.f64 2))
(+.f64 (*.f64 (*.f64 x (cbrt.f64 -1)) (+.f64 -1/2 y)) (log.f64 2))
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(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 6) (pow.f64 (log.f64 2) 6)) (+.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 (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 (pow.f64 (*.f64 (-.f64 1/2 y) x) 6) (-.f64 (*.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 2) 3)) (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)))))
(/.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 (pow.f64 (*.f64 x (-.f64 1/2 y)) 6) (-.f64 (pow.f64 (log.f64 2) 6) (*.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)) 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 (pow.f64 (*.f64 x (-.f64 1/2 y)) 6) (-.f64 (pow.f64 (log.f64 2) 6) (*.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 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)) 1) (fma.f64 (-.f64 1/2 y) x (neg.f64 (log.f64 2))))
(+.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 (-.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 (neg.f64 (log.f64 2))))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (neg.f64 (log.f64 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (neg.f64 (log.f64 2))))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (neg.f64 (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (*.f64 (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 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (*.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (neg.f64 (log.f64 2)))) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (neg.f64 (log.f64 2)))))) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (neg.f64 (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (*.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (neg.f64 (log.f64 2)))) (*.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (neg.f64 (log.f64 2)))) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (neg.f64 (log.f64 2)))))))
(/.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))) (*.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))))))
(/.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 (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 (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)) (+.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 (-.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 (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 (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) (*.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 (-.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 (+.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)))))))
(/.f64 (/.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)) 2) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x (+.f64 -1/2 y))))))) (*.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))))))))
(pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 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))
(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)))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(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))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(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))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 1 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 (-.f64 1/2 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))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(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 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(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 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(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 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))

eval569.0ms (6.2%)

Compiler

Compiled 19888 to 15569 computations (21.7% saved)

prune265.0ms (2.9%)

Pruning

14 alts after pruning (7 fresh and 7 done)

PrunedKeptTotal
New8497856
Fresh000
Picked101
Done178
Total85114865
Error
0.2b
Counts
865 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
12.4b
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
57.0b
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
57.0b
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
46.7b
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
0.3b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
6.3b
(-.f64 (log.f64 2) (*.f64 x y))
12.4b
(+.f64 (+.f64 1 (*.f64 (-.f64 1/2 y) x)) (-.f64 (log.f64 2) 1))
27.8b
(+.f64 (*.f64 1/2 x) (log.f64 2))
46.7b
(*.f64 (-.f64 1/2 y) x)
34.9b
(*.f64 x (neg.f64 y))
61.9b
(*.f64 1/2 x)
27.9b
(log.f64 2)
61.5b
(expm1.f64 (+.f64 (+.f64 (log.f64 x) (/.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) (+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (log.f64 (-.f64 1/2 y)))))
28.4b
(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))))
Compiler

Compiled 235 to 183 computations (22.1% saved)

localize43.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

Compiled 40 to 31 computations (22.5% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite111.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1636×distribute-lft-in
546×associate-/r*
502×associate-+l+
422×associate-/r/
390×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01435
131331
2429123
Stop Event
node limit
Counts
1 → 93
Calls
Call 1
Inputs
(+.f64 (+.f64 1 (*.f64 (-.f64 1/2 y) x)) (-.f64 (log.f64 2) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (-.f64 1/2 y) x 1) (-.f64 1 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 2) (-.f64 0 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 (-.f64 1/2 y) x 1) (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 2)) (-.f64 1 (+.f64 0 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (-.f64 0 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x 1))) (-.f64 2 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 (-.f64 1/2 y) x))) (-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (-.f64 1 (*.f64 (-.f64 1/2 y) x))) (+.f64 (log.f64 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 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simplify134.0ms (1.5%)

Algorithm
egg-herbie
Rules
1292×associate-*r/
1102×associate-*l/
1050×+-commutative
864×associate--r+
570×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03209403
110208597
247318577
Stop Event
node limit
Counts
117 → 176
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 (-.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 (fma.f64 (-.f64 1/2 y) x 1) (-.f64 1 (log.f64 2)))
(-.f64 (log.f64 2) (-.f64 0 (*.f64 (-.f64 1/2 y) x)))
(-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) 0)
(-.f64 (+.f64 (fma.f64 (-.f64 1/2 y) x 1) (log.f64 2)) 1)
(-.f64 (+.f64 1 (log.f64 2)) (-.f64 1 (+.f64 0 (*.f64 (-.f64 1/2 y) x))))
(-.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (-.f64 0 (*.f64 (-.f64 1/2 y) x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x 1))) (-.f64 2 (log.f64 2)))
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(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (pow.f64 (+.f64 (log.f64 2) -1) 2)) (sqrt.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (-.f64 2 (log.f64 2))))) (sqrt.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (-.f64 2 (log.f64 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (pow.f64 (+.f64 (log.f64 2) -1) 2)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (-.f64 2 (log.f64 2)))) (cbrt.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (-.f64 2 (log.f64 2)))))) (cbrt.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (-.f64 2 (log.f64 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (pow.f64 (+.f64 (log.f64 2) -1) 2)) (+.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) (sqrt.f64 (+.f64 (log.f64 2) -1)))) (-.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) (sqrt.f64 (+.f64 (log.f64 2) -1))))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3) (pow.f64 (+.f64 (log.f64 2) -1) 3)) 1) (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (*.f64 (+.f64 (log.f64 2) -1) (-.f64 (log.f64 2) (+.f64 2 (*.f64 (-.f64 1/2 y) x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3) (pow.f64 (+.f64 (log.f64 2) -1) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (*.f64 (+.f64 (log.f64 2) -1) (-.f64 (log.f64 2) (+.f64 2 (*.f64 (-.f64 1/2 y) x))))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (*.f64 (+.f64 (log.f64 2) -1) (-.f64 (log.f64 2) (+.f64 2 (*.f64 (-.f64 1/2 y) x)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3) (pow.f64 (+.f64 (log.f64 2) -1) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (*.f64 (+.f64 (log.f64 2) -1) (-.f64 (log.f64 2) (+.f64 2 (*.f64 (-.f64 1/2 y) x)))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (*.f64 (+.f64 (log.f64 2) -1) (-.f64 (log.f64 2) (+.f64 2 (*.f64 (-.f64 1/2 y) x)))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (*.f64 (+.f64 (log.f64 2) -1) (-.f64 (log.f64 2) (+.f64 2 (*.f64 (-.f64 1/2 y) x)))))))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (+.f64 1 (log.f64 2))) (*.f64 (-.f64 1 (*.f64 (-.f64 1/2 y) x)) (+.f64 (pow.f64 (log.f64 2) 2) -1))) (-.f64 1 (*.f64 (-.f64 1/2 y) x))) (+.f64 1 (log.f64 2)))
(/.f64 (/.f64 (+.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (fma.f64 (log.f64 2) (log.f64 2) (+.f64 1 (log.f64 2)))) (*.f64 (-.f64 1 (*.f64 (-.f64 1/2 y) x)) (+.f64 -1 (pow.f64 (log.f64 2) 3)))) (-.f64 1 (*.f64 (-.f64 1/2 y) x))) (fma.f64 (log.f64 2) (log.f64 2) (+.f64 1 (log.f64 2))))
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (+.f64 1 (log.f64 2))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (-.f64 1/2 y) x))) (+.f64 (pow.f64 (log.f64 2) 2) -1))) (+.f64 1 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (-.f64 1/2 y) x)))) (+.f64 1 (log.f64 2)))
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (fma.f64 (log.f64 2) (log.f64 2) (+.f64 1 (log.f64 2)))) (*.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (-.f64 1/2 y) x))) (+.f64 -1 (pow.f64 (log.f64 2) 3)))) (+.f64 1 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (-.f64 1/2 y) x)))) (fma.f64 (log.f64 2) (log.f64 2) (+.f64 1 (log.f64 2))))
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 2) 2) -1) (-.f64 1 (*.f64 (-.f64 1/2 y) x))) (*.f64 (+.f64 1 (log.f64 2)) (-.f64 1 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))) (+.f64 1 (log.f64 2))) (-.f64 1 (*.f64 (-.f64 1/2 y) x)))
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 2) 2) -1) (+.f64 1 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (-.f64 1/2 y) x)))) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)))) (+.f64 1 (log.f64 2))) (+.f64 1 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (-.f64 1/2 y) x))))
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 -1 (pow.f64 (log.f64 2) 3)) (-.f64 1 (*.f64 (-.f64 1/2 y) x))) (*.f64 (fma.f64 (log.f64 2) (log.f64 2) (+.f64 1 (log.f64 2))) (-.f64 1 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))) (fma.f64 (log.f64 2) (log.f64 2) (+.f64 1 (log.f64 2)))) (-.f64 1 (*.f64 (-.f64 1/2 y) x)))
(/.f64 (/.f64 (+.f64 (*.f64 (+.f64 -1 (pow.f64 (log.f64 2) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (-.f64 1/2 y) x)))) (*.f64 (fma.f64 (log.f64 2) (log.f64 2) (+.f64 1 (log.f64 2))) (+.f64 1 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)))) (fma.f64 (log.f64 2) (log.f64 2) (+.f64 1 (log.f64 2)))) (+.f64 1 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (-.f64 1/2 y) x))))
(pow.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) 1)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(exp.f64 (log.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(fma.f64 1 (fma.f64 (-.f64 1/2 y) x 1) (+.f64 (log.f64 2) -1))
(fma.f64 1 (+.f64 (log.f64 2) -1) (fma.f64 (-.f64 1/2 y) x 1))
(fma.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) (+.f64 (log.f64 2) -1))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 2) -1)) (sqrt.f64 (+.f64 (log.f64 2) -1)) (fma.f64 (-.f64 1/2 y) x 1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) (+.f64 (log.f64 2) -1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) -1)) 2) (cbrt.f64 (+.f64 (log.f64 2) -1)) (fma.f64 (-.f64 1/2 y) x 1))
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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (fma.f64 (-.f64 1/2 y) x 1) (-.f64 1 (log.f64 2)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (log.f64 2) (-.f64 0 (*.f64 (-.f64 1/2 y) x)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) 0)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 (fma.f64 (-.f64 1/2 y) x 1) (log.f64 2)) 1)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 1 (log.f64 2)) (-.f64 1 (+.f64 0 (*.f64 (-.f64 1/2 y) x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (-.f64 0 (*.f64 (-.f64 1/2 y) x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x 1))) (-.f64 2 (log.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) 1))) (-.f64 2 (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 -1 (expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) 1)))))
(-.f64 (/.f64 1 (-.f64 1 (*.f64 (-.f64 1/2 y) x))) (-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (-.f64 1 (*.f64 (-.f64 1/2 y) x))) (+.f64 (log.f64 2) -1)))
(-.f64 (/.f64 1 (-.f64 1 (*.f64 x (-.f64 1/2 y)))) (-.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 1 (*.f64 x (-.f64 1/2 y)))) (+.f64 (log.f64 2) -1)))
(+.f64 (log.f64 2) (-.f64 (+.f64 -1 (/.f64 1 (-.f64 1 (*.f64 x (-.f64 1/2 y))))) (/.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 1 (*.f64 x (-.f64 1/2 y))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 (*.f64 (-.f64 1/2 y) x) (-.f64 2 (log.f64 2)))) (/.f64 (pow.f64 (+.f64 (log.f64 2) -1) 2) (+.f64 (*.f64 (-.f64 1/2 y) x) (-.f64 2 (log.f64 2)))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 1 (log.f64 2))) (-.f64 (/.f64 1 (+.f64 1 (log.f64 2))) (fma.f64 (-.f64 1/2 y) x 1)))
(+.f64 (-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) 1)) (/.f64 1 (+.f64 (log.f64 2) 1))) (fma.f64 (-.f64 1/2 y) x 1))
(+.f64 (fma.f64 x (-.f64 1/2 y) 1) (+.f64 (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) 1)) (/.f64 -1 (+.f64 (log.f64 2) 1))))
(-.f64 (/.f64 (pow.f64 (log.f64 2) 3) (fma.f64 (log.f64 2) (log.f64 2) (+.f64 1 (log.f64 2)))) (-.f64 (/.f64 1 (fma.f64 (log.f64 2) (log.f64 2) (+.f64 1 (log.f64 2)))) (fma.f64 (-.f64 1/2 y) x 1)))
(+.f64 (-.f64 (/.f64 (pow.f64 (log.f64 2) 3) (+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) 1))) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) 1)))) (fma.f64 (-.f64 1/2 y) x 1))
(+.f64 (fma.f64 x (-.f64 1/2 y) 1) (+.f64 (/.f64 (pow.f64 (log.f64 2) 3) (+.f64 (+.f64 (log.f64 2) 1) (pow.f64 (log.f64 2) 2))) (/.f64 -1 (+.f64 (+.f64 (log.f64 2) 1) (pow.f64 (log.f64 2) 2)))))
(+.f64 (fma.f64 x (-.f64 1/2 y) 1) (+.f64 (/.f64 (pow.f64 (log.f64 2) 3) (+.f64 (log.f64 2) (+.f64 1 (pow.f64 (log.f64 2) 2)))) (/.f64 -1 (+.f64 (log.f64 2) (+.f64 1 (pow.f64 (log.f64 2) 2))))))
(-.f64 (+.f64 (fma.f64 (-.f64 1/2 y) x 1) (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 1 (log.f64 2)))) (/.f64 1 (+.f64 1 (log.f64 2))))
(+.f64 (-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) 1)) (/.f64 1 (+.f64 (log.f64 2) 1))) (fma.f64 (-.f64 1/2 y) x 1))
(+.f64 (fma.f64 x (-.f64 1/2 y) 1) (+.f64 (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) 1)) (/.f64 -1 (+.f64 (log.f64 2) 1))))
(-.f64 (+.f64 (fma.f64 (-.f64 1/2 y) x 1) (/.f64 (pow.f64 (log.f64 2) 3) (fma.f64 (log.f64 2) (log.f64 2) (+.f64 1 (log.f64 2))))) (/.f64 1 (fma.f64 (log.f64 2) (log.f64 2) (+.f64 1 (log.f64 2)))))
(+.f64 (-.f64 (/.f64 (pow.f64 (log.f64 2) 3) (+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) 1))) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) 1)))) (fma.f64 (-.f64 1/2 y) x 1))
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(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) 2))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))
(fabs.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(log.f64 (exp.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) 3))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (log.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (fma.f64 (-.f64 1/2 y) x 1) (+.f64 (log.f64 2) -1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (+.f64 (log.f64 2) -1) (fma.f64 (-.f64 1/2 y) x 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) (+.f64 (log.f64 2) -1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 2) -1)) (sqrt.f64 (+.f64 (log.f64 2) -1)) (fma.f64 (-.f64 1/2 y) x 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) (+.f64 (log.f64 2) -1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) -1)) 2) (cbrt.f64 (+.f64 (log.f64 2) -1)) (fma.f64 (-.f64 1/2 y) x 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
Compiler

Compiled 21 to 15 computations (28.6% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite58.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1518×associate-*r/
944×associate-*l/
916×associate-/r*
856×*-commutative
724×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0919
119813
2260113
Stop Event
node limit
Counts
1 → 61
Calls
Call 1
Inputs
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
Outputs
((#(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 x 1/2) (*.f64 x (neg.f64 y)))))) (#(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 (neg.f64 x) -1/2) (*.f64 (neg.f64 x) (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 -1/2 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 x)))))) (#(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 (-.f64 1/2 y) (sqrt.f64 x)))))) (#(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 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (-.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 (-.f64 1/2 y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1/2 y)) (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))))) (#(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 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/2 y) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/2 y) (cbrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))) (#(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 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))) (cbrt.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 (cbrt.f64 (-.f64 1/2 y))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (*.f64 (-.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 (/.f64 (sqrt.f64 x) 1) (cbrt.f64 (-.f64 1/2 y))) (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (-.f64 1/2 y) (cbrt.f64 x)))))) (#(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 (cbrt.f64 x) (pow.f64 (-.f64 1/2 y) -1/2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (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 (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 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 y (-.f64 y 1/2))))))) (#(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 y (+.f64 1/2 y)) (-.f64 (*.f64 y (+.f64 1/2 y)) 1/4))))))) (#(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 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (+.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))))))

simplify60.0ms (0.6%)

Algorithm
egg-herbie
Rules
1074×distribute-lft-in
1020×distribute-rgt-in
946×associate-*r/
732×*-commutative
710×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01701597
14781587
217271587
Stop Event
node limit
Counts
85 → 85
Calls
Call 1
Inputs
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 x 1/2))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 1 (*.f64 x 1/2)) (*.f64 1 (*.f64 x (neg.f64 y))))
(+.f64 (*.f64 (neg.f64 x) -1/2) (*.f64 (neg.f64 x) (neg.f64 (neg.f64 y))))
(+.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (*.f64 -1/2 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 x)))
(-.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 (-.f64 1/2 y) (sqrt.f64 x)))
(*.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 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (-.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 (-.f64 1/2 y) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (-.f64 1/2 y)) (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))
(*.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 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) 1))
(*.f64 (*.f64 (-.f64 1/2 y) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (*.f64 (-.f64 1/2 y) (cbrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))) (cbrt.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 (cbrt.f64 (-.f64 1/2 y))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (*.f64 (-.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 (/.f64 (sqrt.f64 x) 1) (cbrt.f64 (-.f64 1/2 y))) (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (-.f64 1/2 y) (cbrt.f64 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)))
(*.f64 (/.f64 (cbrt.f64 x) (pow.f64 (-.f64 1/2 y) -1/2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (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 (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 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 y (-.f64 y 1/2))))
(*.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 y (+.f64 1/2 y)) (-.f64 (*.f64 y (+.f64 1/2 y)) 1/4))))
(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 -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))))
(log1p.f64 (expm1.f64 (*.f64 x (-.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)
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 x 1/2))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1 (*.f64 x 1/2)) (*.f64 1 (*.f64 x (neg.f64 y))))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 (neg.f64 x) -1/2) (*.f64 (neg.f64 x) (neg.f64 (neg.f64 y))))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 x (neg.f64 y)) 1))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 -1/2 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 x)))
(*.f64 (-.f64 1/2 y) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (neg.f64 (+.f64 -1/2 y)))
(*.f64 (-.f64 1/2 y) x)
(*.f64 1 (*.f64 x (-.f64 1/2 y)))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (*.f64 x (-.f64 1/2 y)) 1)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (sqrt.f64 x) (*.f64 (-.f64 1/2 y) (sqrt.f64 x)))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 x (sqrt.f64 (-.f64 1/2 y))))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2)) (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (cbrt.f64 (pow.f64 (-.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 (-.f64 1/2 y) x)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 1/2 y) (cbrt.f64 x)))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (cbrt.f64 (-.f64 1/2 y)) (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (neg.f64 x) (+.f64 -1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 -1 (*.f64 x (+.f64 -1/2 y)))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (+.f64 -1/2 y) (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) 1))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (*.f64 (-.f64 1/2 y) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (*.f64 (-.f64 1/2 y) (cbrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))) (cbrt.f64 (-.f64 1/2 y)))
(*.f64 (cbrt.f64 (-.f64 1/2 y)) (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))))
(/.f64 x (/.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2)) (cbrt.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 (cbrt.f64 (-.f64 1/2 y)) (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))))
(/.f64 x (/.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2)) (cbrt.f64 (-.f64 1/2 y))))
(*.f64 (*.f64 x (cbrt.f64 (-.f64 1/2 y))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))))
(*.f64 (cbrt.f64 (-.f64 1/2 y)) (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))))
(/.f64 x (/.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2)) (cbrt.f64 (-.f64 1/2 y))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (*.f64 (-.f64 1/2 y) (sqrt.f64 x)))
(*.f64 (-.f64 1/2 y) 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 (cbrt.f64 (-.f64 1/2 y)) (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))))
(/.f64 x (/.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2)) (cbrt.f64 (-.f64 1/2 y))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) 1) (cbrt.f64 (-.f64 1/2 y))) (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))))
(*.f64 (cbrt.f64 (-.f64 1/2 y)) (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))))
(/.f64 x (/.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2)) (cbrt.f64 (-.f64 1/2 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (-.f64 1/2 y) (cbrt.f64 x)))
(*.f64 (-.f64 1/2 y) 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)))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (/.f64 (cbrt.f64 x) (pow.f64 (-.f64 1/2 y) -1/2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (-.f64 1/2 y) -1/2)))
(*.f64 (-.f64 1/2 y) 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))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2)) (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))))
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))) 1) (cbrt.f64 (-.f64 1/2 y)))
(*.f64 (cbrt.f64 (-.f64 1/2 y)) (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))))
(/.f64 x (/.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2)) (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 1/2 y) x)
(*.f64 (/.f64 1 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1/2 y)))) (cbrt.f64 x))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (/.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 -1)) (sqrt.f64 (+.f64 -1/2 y)))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 -1)) (sqrt.f64 (+.f64 y -1/2)))
(/.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (/.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 y -1/2))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 1/2 y)) (sqrt.f64 -1)) x) (sqrt.f64 (+.f64 y -1/2)))
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))) -1) (cbrt.f64 (+.f64 -1/2 y)))
(*.f64 (/.f64 x (*.f64 -1 (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2)))) (cbrt.f64 (+.f64 y -1/2)))
(*.f64 (/.f64 x (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2)))) (cbrt.f64 (+.f64 y -1/2)))
(/.f64 (*.f64 x (cbrt.f64 (+.f64 y -1/2))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))))
(*.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (-.f64 y 1/2))))
(*.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 y -1/2))))
(*.f64 (*.f64 (/.f64 x (+.f64 1/8 (pow.f64 y 3))) (-.f64 1/4 (*.f64 y y))) (fma.f64 y (+.f64 y -1/2) 1/4))
(/.f64 x (/.f64 (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 y -1/2) 1/4)) (-.f64 1/4 (*.f64 y 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 1/16 (*.f64 y (*.f64 (+.f64 1/2 y) (*.f64 y (+.f64 1/2 y)))))) (-.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(*.f64 (/.f64 (-.f64 1/8 (pow.f64 y 3)) (/.f64 (-.f64 1/16 (*.f64 (*.f64 y y) (*.f64 (+.f64 1/2 y) (+.f64 1/2 y)))) x)) (-.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(*.f64 (/.f64 x (/.f64 (-.f64 1/16 (*.f64 (*.f64 y y) (*.f64 (+.f64 1/2 y) (+.f64 1/2 y)))) (-.f64 1/8 (pow.f64 y 3)))) (-.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 y (+.f64 1/2 y)) (-.f64 (*.f64 y (+.f64 1/2 y)) 1/4))))
(*.f64 (/.f64 x (/.f64 (+.f64 1/64 (pow.f64 (*.f64 y (+.f64 1/2 y)) 3)) (-.f64 1/8 (pow.f64 y 3)))) (+.f64 1/16 (*.f64 y (*.f64 (+.f64 1/2 y) (fma.f64 y (+.f64 1/2 y) -1/4)))))
(/.f64 (*.f64 x (*.f64 (-.f64 1/8 (pow.f64 y 3)) (fma.f64 y (*.f64 (+.f64 1/2 y) (fma.f64 y (+.f64 1/2 y) -1/4)) 1/16))) (+.f64 1/64 (pow.f64 (*.f64 y (+.f64 1/2 y)) 3)))
(*.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) (/.f64 x (+.f64 1/64 (pow.f64 (*.f64 y (+.f64 1/2 y)) 3)))) (fma.f64 y (*.f64 (+.f64 1/2 y) (fma.f64 y (+.f64 1/2 y) -1/4)) 1/16))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(*.f64 (-.f64 1/2 y) x)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(*.f64 (-.f64 1/2 y) x)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(*.f64 (-.f64 1/2 y) x)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(*.f64 (-.f64 1/2 y) x)
(pow.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) -1)
(*.f64 (-.f64 1/2 y) x)
(neg.f64 (*.f64 x (+.f64 -1/2 y)))
(*.f64 (-.f64 1/2 y) x)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(*.f64 (-.f64 1/2 y) x)
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(*.f64 (-.f64 1/2 y) x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(*.f64 (-.f64 1/2 y) x)
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(*.f64 (-.f64 1/2 y) x)
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (-.f64 1/2 y) x)
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (-.f64 1/2 y) x)
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (-.f64 1/2 y) x)

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 1/4 (*.f64 y y))
0.0b
(/.f64 (+.f64 1/2 y) x)
16.9b
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
Compiler

Compiled 33 to 18 computations (45.5% saved)

series5.0ms (0.1%)

Counts
3 → 48
Calls

15 calls:

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

rewrite103.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1506×associate-/l/
728×distribute-rgt-in
680×distribute-lft-in
568×distribute-lft-neg-in
516×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01157
125939
2383339
Stop Event
node limit
Counts
3 → 152
Calls
Call 1
Inputs
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(/.f64 (+.f64 1/2 y) x)
(-.f64 1/4 (*.f64 y y))
Outputs
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(*.f64 y y)) (+.f64 (pow.f64 y 4) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4096 (*.f64 (pow.f64 y 6) (pow.f64 y 6))) (*.f64 (+.f64 1/16 (+.f64 (pow.f64 y 4) (*.f64 1/4 (*.f64 y y)))) (+.f64 1/64 (pow.f64 y 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/64 (pow.f64 (*.f64 y (neg.f64 y)) 3)) (+.f64 1/16 (*.f64 (*.f64 y (neg.f64 y)) (-.f64 (*.f64 y (neg.f64 y)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/64 (pow.f64 (*.f64 y (neg.f64 y)) 3)) (*.f64 1 (+.f64 1/16 (*.f64 (*.f64 y (neg.f64 y)) (-.f64 (*.f64 y (neg.f64 y)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4096 (pow.f64 (pow.f64 y 4) 3)) (*.f64 (+.f64 1/4 (*.f64 y y)) (+.f64 1/256 (*.f64 (pow.f64 y 4) (+.f64 (pow.f64 y 4) 1/16)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/262144 (pow.f64 (pow.f64 y 6) 3)) (*.f64 (+.f64 1/16 (+.f64 (pow.f64 y 4) (*.f64 1/4 (*.f64 y y)))) (+.f64 1/4096 (*.f64 (pow.f64 y 6) (+.f64 1/64 (pow.f64 y 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1/4 (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (*.f64 y y) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1/4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1/4 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1/4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 1/4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 1/4 (*.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1/4 (*.f64 y y))))))))

simplify90.0ms (1%)

Algorithm
egg-herbie
Rules
1668×associate-/r/
896×distribute-lft-neg-in
794×distribute-rgt-neg-in
672×times-frac
636×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03824518
110503858
253273852
Stop Event
node limit
Counts
200 → 200
Calls
Call 1
Inputs
(*.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 (-.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 y x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
1/4
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(*.f64 -1 (pow.f64 y 2))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(+.f64 (*.f64 1/4 (/.f64 x (+.f64 y 1/2))) (*.f64 (/.f64 (*.f64 y y) (-.f64 -1/2 y)) x))
(+.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 -1/2 y)) x) (*.f64 1/4 (/.f64 x (+.f64 y 1/2))))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 (/.f64 x (+.f64 y 1/2)) 1/4) (*.f64 (/.f64 x (+.f64 y 1/2)) (*.f64 y (neg.f64 y))))
(+.f64 (*.f64 (/.f64 x (+.f64 y 1/2)) (*.f64 y (neg.f64 y))) (*.f64 (/.f64 x (+.f64 y 1/2)) 1/4))
(+.f64 (*.f64 1/2 x) (*.f64 (neg.f64 y) x))
(+.f64 (*.f64 (*.f64 1/4 (/.f64 x (+.f64 y 1/2))) 1) (*.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 -1/2 y)) x) 1))
(-.f64 (*.f64 1/4 (/.f64 x (+.f64 y 1/2))) (*.f64 (*.f64 y y) (/.f64 x (+.f64 y 1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 x (-.f64 1/2 y))
(*.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 1/4 (*.f64 y y))) (*.f64 (sqrt.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))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2) (*.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) (/.f64 x (+.f64 y 1/2))))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (/.f64 (*.f64 y y) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 1/4 (-.f64 -1/2 y)) (/.f64 (*.f64 y y) (-.f64 -1/2 y))))
(*.f64 (+.f64 (*.f64 y y) -1/4) (/.f64 1 (/.f64 (-.f64 -1/2 y) x)))
(*.f64 (*.f64 (-.f64 1/2 y) 1) x)
(*.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 x)))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 y 1/2) x))) (/.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 (/.f64 (+.f64 y 1/2) x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1/2) x)) 2)) (/.f64 (-.f64 1/4 (*.f64 y y)) (cbrt.f64 (/.f64 (+.f64 y 1/2) x))))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (-.f64 -1/2 y)) (neg.f64 x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (+.f64 y 1/2)) (/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) 1) (/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (/.f64 (+.f64 y 1/2) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1/2) x)) 2)) (/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (cbrt.f64 (/.f64 (+.f64 y 1/2) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2) (+.f64 y 1/2)) (/.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) (/.f64 (+.f64 y 1/2) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2) (sqrt.f64 (/.f64 (+.f64 y 1/2) x))) (/.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) (sqrt.f64 (/.f64 (+.f64 y 1/2) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1/2) x)) 2)) (cbrt.f64 (*.f64 x (-.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 (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 (-.f64 1/4 (*.f64 y y)) (/.f64 (-.f64 -1/2 y) x)))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x))
(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 1/4 (*.f64 y y)) 3) (pow.f64 (/.f64 (+.f64 y 1/2) x) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(+.f64 (*.f64 (/.f64 1 x) y) (*.f64 (/.f64 1 x) 1/2))
(+.f64 (*.f64 (/.f64 1 x) 1/2) (*.f64 (/.f64 1 x) y))
(+.f64 (*.f64 y (/.f64 1 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 y (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 y 1/2) x))) 1)
(*.f64 (+.f64 y 1/2) (/.f64 1 x))
(*.f64 (+.f64 y 1/2) (neg.f64 (neg.f64 (/.f64 1 x))))
(*.f64 (/.f64 (+.f64 y 1/2) x) 1)
(*.f64 1 (/.f64 (+.f64 y 1/2) x))
(*.f64 (sqrt.f64 (+.f64 y 1/2)) (*.f64 (sqrt.f64 (+.f64 y 1/2)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 y 1/2) x)) (sqrt.f64 (/.f64 (+.f64 y 1/2) x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 y 1/2) x)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 y 1/2) x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2) (*.f64 (cbrt.f64 (+.f64 y 1/2)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 y 1/2) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1/2) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1/2) x)) 2) (cbrt.f64 (/.f64 (+.f64 y 1/2) x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1/2) x)) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 y 1/2) x)))))
(*.f64 (/.f64 1 x) (+.f64 y 1/2))
(*.f64 (-.f64 -1/2 y) (neg.f64 (/.f64 1 x)))
(*.f64 (-.f64 -1/2 y) (/.f64 1 (neg.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1/2 y) x)) (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1/2 y) x))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 -1/2 y) x)) (cbrt.f64 (/.f64 (-.f64 -1/2 y) x))) (neg.f64 (cbrt.f64 (/.f64 (-.f64 -1/2 y) x))))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 y 1/2) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 y 1/2) (cbrt.f64 x)))
(*.f64 -1 (/.f64 (-.f64 -1/2 y) x))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 y 1/2) x))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 y 1/2) x))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1/2) x)) 2)) (neg.f64 (cbrt.f64 (/.f64 (+.f64 y 1/2) x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y 1/2)) 1) (/.f64 (sqrt.f64 (+.f64 y 1/2)) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y 1/2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 y 1/2)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 y 1/2)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 y 1/2)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 y 1/2) x)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1/2 y) x))) (sqrt.f64 (/.f64 (-.f64 -1/2 y) x)))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 -1/2 y) x)) (cbrt.f64 (/.f64 (-.f64 -1/2 y) x)))) (cbrt.f64 (/.f64 (-.f64 -1/2 y) x)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 y 1/2) x)))) (sqrt.f64 (/.f64 (+.f64 y 1/2) x)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1/2) x)) 2))) (cbrt.f64 (/.f64 (+.f64 y 1/2) x)))
(pow.f64 (/.f64 (+.f64 y 1/2) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 y 1/2) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1/2) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 y 1/2) x) 3) 1/3)
(pow.f64 (/.f64 x (+.f64 y 1/2)) -1)
(neg.f64 (/.f64 (-.f64 -1/2 y) x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 y 1/2) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 y 1/2) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 y 1/2) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 y 1/2) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 y 1/2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 y 1/2) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 y 1/2) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y 1/2) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 y 1/2) x)))
(+.f64 1/4 (*.f64 y (neg.f64 y)))
(+.f64 (*.f64 y (neg.f64 y)) 1/4)
(+.f64 (-.f64 1/4 (exp.f64 (log1p.f64 (*.f64 y y)))) 1)
(*.f64 (-.f64 1/4 (*.f64 y y)) 1)
(*.f64 1 (-.f64 1/4 (*.f64 y y)))
(*.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (sqrt.f64 (-.f64 1/4 (*.f64 y y))))
(*.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))))))
(*.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2) (cbrt.f64 (-.f64 1/4 (*.f64 y y))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2) (neg.f64 (neg.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))))))
(*.f64 (-.f64 1/16 (pow.f64 y 4)) (/.f64 1 (+.f64 1/4 (*.f64 y y))))
(*.f64 (-.f64 1/64 (pow.f64 y 6)) (/.f64 1 (+.f64 1/16 (+.f64 (pow.f64 y 4) (*.f64 1/4 (*.f64 y y))))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 y y) -1/4)) (neg.f64 (sqrt.f64 (+.f64 (*.f64 y y) -1/4))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 y y) -1/4)) (cbrt.f64 (+.f64 (*.f64 y y) -1/4))) (neg.f64 (cbrt.f64 (+.f64 (*.f64 y y) -1/4))))
(*.f64 -1 (+.f64 (*.f64 y y) -1/4))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y)))) (neg.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2)) (neg.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y)))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 y y) -1/4))) (sqrt.f64 (+.f64 (*.f64 y y) -1/4)))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 y y) -1/4)) (cbrt.f64 (+.f64 (*.f64 y y) -1/4)))) (cbrt.f64 (+.f64 (*.f64 y y) -1/4)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))))) (sqrt.f64 (-.f64 1/4 (*.f64 y y))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2))) (cbrt.f64 (-.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) 1)
(/.f64 1 (/.f64 (+.f64 1/4 (*.f64 y y)) (-.f64 1/16 (pow.f64 y 4))))
(/.f64 1 (/.f64 (+.f64 1/16 (+.f64 (pow.f64 y 4) (*.f64 1/4 (*.f64 y y)))) (-.f64 1/64 (pow.f64 y 6))))
(/.f64 1 (*.f64 1 (/.f64 (+.f64 1/4 (*.f64 y y)) (-.f64 1/16 (pow.f64 y 4)))))
(/.f64 1 (*.f64 1 (/.f64 (+.f64 1/16 (+.f64 (pow.f64 y 4) (*.f64 1/4 (*.f64 y y)))) (-.f64 1/64 (pow.f64 y 6)))))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (+.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (+.f64 1/16 (+.f64 (pow.f64 y 4) (*.f64 1/4 (*.f64 y y)))))
(/.f64 (neg.f64 (-.f64 1/16 (pow.f64 y 4))) (neg.f64 (+.f64 1/4 (*.f64 y y))))
(/.f64 (neg.f64 (-.f64 1/64 (pow.f64 y 6))) (neg.f64 (+.f64 1/16 (+.f64 (pow.f64 y 4) (*.f64 1/4 (*.f64 y y))))))
(/.f64 (-.f64 1/16 (*.f64 (*.f64 y (neg.f64 y)) (*.f64 y (neg.f64 y)))) (+.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 1/256 (*.f64 (pow.f64 y 4) (pow.f64 y 4))) (*.f64 (+.f64 1/4 (*.f64 y y)) (+.f64 (pow.f64 y 4) 1/16)))
(/.f64 (-.f64 1/4096 (*.f64 (pow.f64 y 6) (pow.f64 y 6))) (*.f64 (+.f64 1/16 (+.f64 (pow.f64 y 4) (*.f64 1/4 (*.f64 y y)))) (+.f64 1/64 (pow.f64 y 6))))
(/.f64 (+.f64 1/64 (pow.f64 (*.f64 y (neg.f64 y)) 3)) (+.f64 1/16 (*.f64 (*.f64 y (neg.f64 y)) (-.f64 (*.f64 y (neg.f64 y)) 1/4))))
(/.f64 (+.f64 1/64 (pow.f64 (*.f64 y (neg.f64 y)) 3)) (*.f64 1 (+.f64 1/16 (*.f64 (*.f64 y (neg.f64 y)) (-.f64 (*.f64 y (neg.f64 y)) 1/4)))))
(/.f64 (-.f64 1/4096 (pow.f64 (pow.f64 y 4) 3)) (*.f64 (+.f64 1/4 (*.f64 y y)) (+.f64 1/256 (*.f64 (pow.f64 y 4) (+.f64 (pow.f64 y 4) 1/16)))))
(/.f64 (-.f64 1/262144 (pow.f64 (pow.f64 y 6) 3)) (*.f64 (+.f64 1/16 (+.f64 (pow.f64 y 4) (*.f64 1/4 (*.f64 y y)))) (+.f64 1/4096 (*.f64 (pow.f64 y 6) (+.f64 1/64 (pow.f64 y 6))))))
(pow.f64 (-.f64 1/4 (*.f64 y y)) 1)
(pow.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) 2)
(pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 3)
(pow.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 3) 1/3)
(neg.f64 (+.f64 (*.f64 y y) -1/4))
(sqrt.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 2))
(log.f64 (exp.f64 (-.f64 1/4 (*.f64 y y))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/4 (*.f64 y y)))))
(cbrt.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 3))
(expm1.f64 (log1p.f64 (-.f64 1/4 (*.f64 y y))))
(exp.f64 (log.f64 (-.f64 1/4 (*.f64 y y))))
(exp.f64 (*.f64 (log.f64 (-.f64 1/4 (*.f64 y y))) 1))
(log1p.f64 (expm1.f64 (-.f64 1/4 (*.f64 y y))))
Outputs
(*.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 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(/.f64 1/2 x)
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(/.f64 y x)
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
1/4
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(-.f64 1/4 (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(-.f64 1/4 (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(-.f64 1/4 (*.f64 y y))
(*.f64 -1 (pow.f64 y 2))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(-.f64 1/4 (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(-.f64 1/4 (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(-.f64 1/4 (*.f64 y y))
(*.f64 -1 (pow.f64 y 2))
(*.f64 y (neg.f64 y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(-.f64 1/4 (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(-.f64 1/4 (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) 1/4)
(-.f64 1/4 (*.f64 y y))
(+.f64 (*.f64 1/4 (/.f64 x (+.f64 y 1/2))) (*.f64 (/.f64 (*.f64 y y) (-.f64 -1/2 y)) x))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (/.f64 (*.f64 (*.f64 y y) x) (-.f64 -1/2 y)))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (/.f64 (*.f64 x (*.f64 y y)) (-.f64 -1/2 y)))
(+.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 -1/2 y)) x) (*.f64 1/4 (/.f64 x (+.f64 y 1/2))))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (/.f64 (*.f64 (*.f64 y y) x) (-.f64 -1/2 y)))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (/.f64 (*.f64 x (*.f64 y y)) (-.f64 -1/2 y)))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 (/.f64 x (+.f64 y 1/2)) 1/4) (*.f64 (/.f64 x (+.f64 y 1/2)) (*.f64 y (neg.f64 y))))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(+.f64 (*.f64 (/.f64 x (+.f64 y 1/2)) (*.f64 y (neg.f64 y))) (*.f64 (/.f64 x (+.f64 y 1/2)) 1/4))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(+.f64 (*.f64 1/2 x) (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 (*.f64 1/4 (/.f64 x (+.f64 y 1/2))) 1) (*.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 -1/2 y)) x) 1))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (/.f64 (*.f64 (*.f64 y y) x) (-.f64 -1/2 y)))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (/.f64 (*.f64 x (*.f64 y y)) (-.f64 -1/2 y)))
(-.f64 (*.f64 1/4 (/.f64 x (+.f64 y 1/2))) (*.f64 (*.f64 y y) (/.f64 x (+.f64 y 1/2))))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (*.f64 x (-.f64 1/2 y)) 1)
(*.f64 x (-.f64 1/2 y))
(*.f64 1 (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(*.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (*.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (/.f64 x (+.f64 y 1/2))))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(*.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2))
(*.f64 x (-.f64 1/2 y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2) (*.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) (/.f64 x (+.f64 y 1/2))))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (/.f64 (*.f64 y y) 1)))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 1/4 (-.f64 -1/2 y)) (/.f64 (*.f64 y y) (-.f64 -1/2 y))))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(*.f64 (+.f64 (*.f64 y y) -1/4) (/.f64 1 (/.f64 (-.f64 -1/2 y) x)))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(*.f64 (*.f64 (-.f64 1/2 y) 1) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (-.f64 1/2 y))
(*.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 x (-.f64 1/2 y))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 x)))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 y 1/2) x))) (/.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 (/.f64 (+.f64 y 1/2) x))))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1/2) x)) 2)) (/.f64 (-.f64 1/4 (*.f64 y y)) (cbrt.f64 (/.f64 (+.f64 y 1/2) x))))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (-.f64 -1/2 y)) (neg.f64 x))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (+.f64 y 1/2)) (/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (/.f64 1 x)))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (fma.f64 y y -1/4) (/.f64 x (-.f64 -1/2 y)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) 1) (/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (/.f64 (+.f64 y 1/2) x)))
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(/.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) 1) (+.f64 1/16 (+.f64 (pow.f64 y 4) (*.f64 1/4 (*.f64 y y)))))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (+.f64 1/16 (*.f64 (*.f64 y y) (fma.f64 y y 1/4))))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (+.f64 1/4 (*.f64 y y)))
(/.f64 1 (/.f64 (+.f64 1/4 (*.f64 y y)) (-.f64 1/16 (pow.f64 y 4))))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (fma.f64 y y 1/4))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (+.f64 1/16 (+.f64 (pow.f64 y 4) (*.f64 1/4 (*.f64 y y)))))
(/.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) 1) (+.f64 1/16 (+.f64 (pow.f64 y 4) (*.f64 1/4 (*.f64 y y)))))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (+.f64 1/16 (*.f64 (*.f64 y y) (fma.f64 y y 1/4))))
(/.f64 (neg.f64 (-.f64 1/16 (pow.f64 y 4))) (neg.f64 (+.f64 1/4 (*.f64 y y))))
(/.f64 1 (/.f64 (+.f64 1/4 (*.f64 y y)) (-.f64 1/16 (pow.f64 y 4))))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (fma.f64 y y 1/4))
(/.f64 (neg.f64 (-.f64 1/64 (pow.f64 y 6))) (neg.f64 (+.f64 1/16 (+.f64 (pow.f64 y 4) (*.f64 1/4 (*.f64 y y))))))
(/.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) 1) (+.f64 1/16 (+.f64 (pow.f64 y 4) (*.f64 1/4 (*.f64 y y)))))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (+.f64 1/16 (*.f64 (*.f64 y y) (fma.f64 y y 1/4))))
(/.f64 (-.f64 1/16 (*.f64 (*.f64 y (neg.f64 y)) (*.f64 y (neg.f64 y)))) (+.f64 1/4 (*.f64 y y)))
(/.f64 1 (/.f64 (+.f64 1/4 (*.f64 y y)) (-.f64 1/16 (pow.f64 y 4))))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (fma.f64 y y 1/4))
(/.f64 (-.f64 1/256 (*.f64 (pow.f64 y 4) (pow.f64 y 4))) (*.f64 (+.f64 1/4 (*.f64 y y)) (+.f64 (pow.f64 y 4) 1/16)))
(/.f64 (/.f64 (-.f64 1/256 (pow.f64 y 8)) (+.f64 1/4 (*.f64 y y))) (+.f64 1/16 (pow.f64 y 4)))
(/.f64 (/.f64 (-.f64 1/256 (pow.f64 y 8)) (fma.f64 y y 1/4)) (+.f64 1/16 (pow.f64 y 4)))
(/.f64 (-.f64 1/4096 (*.f64 (pow.f64 y 6) (pow.f64 y 6))) (*.f64 (+.f64 1/16 (+.f64 (pow.f64 y 4) (*.f64 1/4 (*.f64 y y)))) (+.f64 1/64 (pow.f64 y 6))))
(/.f64 (-.f64 1/4096 (pow.f64 y 12)) (*.f64 (+.f64 1/16 (+.f64 (pow.f64 y 4) (*.f64 1/4 (*.f64 y y)))) (+.f64 1/64 (pow.f64 y 6))))
(/.f64 (-.f64 1/4096 (pow.f64 y 12)) (*.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (fma.f64 y y 1/4))) (+.f64 1/64 (pow.f64 y 6))))
(/.f64 (+.f64 1/64 (pow.f64 (*.f64 y (neg.f64 y)) 3)) (+.f64 1/16 (*.f64 (*.f64 y (neg.f64 y)) (-.f64 (*.f64 y (neg.f64 y)) 1/4))))
(/.f64 (+.f64 1/64 (pow.f64 (*.f64 y (neg.f64 y)) 3)) (+.f64 1/16 (*.f64 (*.f64 y (neg.f64 y)) (fma.f64 y (neg.f64 y) -1/4))))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (fma.f64 y (+.f64 (pow.f64 y 3) (*.f64 (neg.f64 y) -1/4)) 1/16))
(/.f64 (+.f64 1/64 (pow.f64 (*.f64 y (neg.f64 y)) 3)) (*.f64 1 (+.f64 1/16 (*.f64 (*.f64 y (neg.f64 y)) (-.f64 (*.f64 y (neg.f64 y)) 1/4)))))
(/.f64 (+.f64 1/64 (pow.f64 (*.f64 y (neg.f64 y)) 3)) (+.f64 1/16 (*.f64 (*.f64 y (neg.f64 y)) (fma.f64 y (neg.f64 y) -1/4))))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (fma.f64 y (+.f64 (pow.f64 y 3) (*.f64 (neg.f64 y) -1/4)) 1/16))
(/.f64 (-.f64 1/4096 (pow.f64 (pow.f64 y 4) 3)) (*.f64 (+.f64 1/4 (*.f64 y y)) (+.f64 1/256 (*.f64 (pow.f64 y 4) (+.f64 (pow.f64 y 4) 1/16)))))
(/.f64 (-.f64 1/4096 (pow.f64 (pow.f64 y 4) 3)) (*.f64 (+.f64 1/4 (*.f64 y y)) (+.f64 1/256 (+.f64 (pow.f64 y 8) (*.f64 1/16 (pow.f64 y 4))))))
(/.f64 (-.f64 1/4096 (pow.f64 (pow.f64 y 4) 3)) (*.f64 (fma.f64 y y 1/4) (fma.f64 (pow.f64 y 4) (+.f64 1/16 (pow.f64 y 4)) 1/256)))
(/.f64 (/.f64 (-.f64 1/4096 (pow.f64 y 12)) (fma.f64 y y 1/4)) (fma.f64 (pow.f64 y 4) (+.f64 1/16 (pow.f64 y 4)) 1/256))
(/.f64 (-.f64 1/262144 (pow.f64 (pow.f64 y 6) 3)) (*.f64 (+.f64 1/16 (+.f64 (pow.f64 y 4) (*.f64 1/4 (*.f64 y y)))) (+.f64 1/4096 (*.f64 (pow.f64 y 6) (+.f64 1/64 (pow.f64 y 6))))))
(/.f64 (-.f64 1/262144 (pow.f64 (pow.f64 y 6) 3)) (*.f64 (+.f64 1/16 (+.f64 (pow.f64 y 4) (*.f64 1/4 (*.f64 y y)))) (+.f64 1/4096 (+.f64 (*.f64 (pow.f64 y 6) 1/64) (pow.f64 y 12)))))
(/.f64 (/.f64 (-.f64 1/262144 (pow.f64 (pow.f64 y 6) 3)) (+.f64 1/16 (*.f64 (*.f64 y y) (fma.f64 y y 1/4)))) (+.f64 1/4096 (fma.f64 1/64 (pow.f64 y 6) (pow.f64 y 12))))
(pow.f64 (-.f64 1/4 (*.f64 y y)) 1)
(-.f64 1/4 (*.f64 y y))
(pow.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) 2)
(-.f64 1/4 (*.f64 y y))
(pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 3)
(-.f64 1/4 (*.f64 y y))
(pow.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 3) 1/3)
(-.f64 1/4 (*.f64 y y))
(neg.f64 (+.f64 (*.f64 y y) -1/4))
(-.f64 1/4 (*.f64 y y))
(sqrt.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 2))
(fabs.f64 (-.f64 1/4 (*.f64 y y)))
(log.f64 (exp.f64 (-.f64 1/4 (*.f64 y y))))
(-.f64 1/4 (*.f64 y y))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/4 (*.f64 y y)))))
(-.f64 1/4 (*.f64 y y))
(cbrt.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 3))
(-.f64 1/4 (*.f64 y y))
(expm1.f64 (log1p.f64 (-.f64 1/4 (*.f64 y y))))
(-.f64 1/4 (*.f64 y y))
(exp.f64 (log.f64 (-.f64 1/4 (*.f64 y y))))
(-.f64 1/4 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (-.f64 1/4 (*.f64 y y))) 1))
(-.f64 1/4 (*.f64 y y))
(log1p.f64 (expm1.f64 (-.f64 1/4 (*.f64 y y))))
(-.f64 1/4 (*.f64 y y))

localize27.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 y y) -1/4)
0.1b
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
12.4b
(/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4))
Compiler

Compiled 43 to 25 computations (41.9% saved)

series12.0ms (0.1%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
9.0ms
y
@-inf
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
1.0ms
x
@0
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
0.0ms
y
@inf
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
0.0ms
y
@0
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
0.0ms
x
@inf
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))

rewrite98.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1300×associate-/l/
1202×distribute-rgt-in
1164×distribute-lft-in
316×add-sqr-sqrt
298×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01365
130435
2448735
Stop Event
node limit
Counts
3 → 194
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4))
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
(+.f64 (*.f64 y y) -1/4)
Outputs
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simplify106.0ms (1.1%)

Algorithm
egg-herbie
Rules
916×associate-/r/
834×associate-/l/
726×distribute-lft-neg-in
596×associate-*r*
554×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04935722
113695356
252085256
Stop Event
node limit
Counts
242 → 280
Calls
Call 1
Inputs
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 -1 (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) x) (+.f64 1/2 y)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) x) (+.f64 1/2 y)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) x) (+.f64 1/2 y)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) x) (+.f64 1/2 y)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) x) (+.f64 1/2 y)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) x) (+.f64 1/2 y)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) x) (+.f64 1/2 y)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) x) (+.f64 1/2 y)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) x) (+.f64 1/2 y)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) x) (+.f64 1/2 y)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) x) (+.f64 1/2 y)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) 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)))
-1/4
(-.f64 (pow.f64 y 2) 1/4)
(-.f64 (pow.f64 y 2) 1/4)
(-.f64 (pow.f64 y 2) 1/4)
(pow.f64 y 2)
(-.f64 (pow.f64 y 2) 1/4)
(-.f64 (pow.f64 y 2) 1/4)
(-.f64 (pow.f64 y 2) 1/4)
(pow.f64 y 2)
(-.f64 (pow.f64 y 2) 1/4)
(-.f64 (pow.f64 y 2) 1/4)
(-.f64 (pow.f64 y 2) 1/4)
(+.f64 0 (/.f64 1 (+.f64 3/2 y)))
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(-.f64 (/.f64 0 (fma.f64 y y -1/4)) (/.f64 1 (+.f64 3/2 y)))
(*.f64 (+.f64 1/2 y) (/.f64 1 (fma.f64 y y -1/4)))
(*.f64 (+.f64 1/2 y) (neg.f64 (/.f64 1 (fma.f64 y y -1/4))))
(*.f64 (+.f64 1/2 y) (/.f64 1 (neg.f64 (fma.f64 y y -1/4))))
(*.f64 (/.f64 1 (+.f64 3/2 y)) 1)
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(*.f64 (sqrt.f64 (/.f64 1 (+.f64 3/2 y))) (sqrt.f64 (/.f64 1 (+.f64 3/2 y))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 3/2 y))) (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 3/2 y)))))
(*.f64 (sqrt.f64 (+.f64 1/2 y)) (*.f64 (sqrt.f64 (+.f64 1/2 y)) (/.f64 1 (fma.f64 y y -1/4))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 3/2 y))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 3/2 y))) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 3/2 y))) 2) (/.f64 1 (cbrt.f64 (+.f64 3/2 y))))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 3/2 y))) 2) (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 3/2 y)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (+.f64 1/2 y)) (/.f64 1 (fma.f64 y y -1/4))))
(*.f64 -1 (/.f64 1 (+.f64 3/2 y)))
(*.f64 (/.f64 1 (fma.f64 y y -1/4)) (+.f64 1/2 y))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 y y -1/4))) (/.f64 (+.f64 1/2 y) (sqrt.f64 (fma.f64 y y -1/4))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 y y -1/4)) 2)) (/.f64 (+.f64 1/2 y) (cbrt.f64 (fma.f64 y y -1/4))))
(*.f64 (/.f64 (+.f64 1/2 y) (+.f64 (pow.f64 y 4) -1/16)) (fma.f64 y y 1/4))
(*.f64 (/.f64 (+.f64 1/2 y) (+.f64 -1/64 (pow.f64 y 6))) (+.f64 (pow.f64 y 4) (-.f64 1/16 (*.f64 y (*.f64 y -1/4)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 1 (+.f64 3/2 y)))) (sqrt.f64 (/.f64 1 (+.f64 3/2 y))))
(*.f64 (neg.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 3/2 y))) 2)) (/.f64 1 (cbrt.f64 (+.f64 3/2 y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 y)) 1) (/.f64 (sqrt.f64 (+.f64 1/2 y)) (fma.f64 y y -1/4)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 y)) (pow.f64 (cbrt.f64 (fma.f64 y y -1/4)) 2)) (/.f64 (sqrt.f64 (+.f64 1/2 y)) (cbrt.f64 (fma.f64 y y -1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1/2 y)) (fma.f64 y y -1/4)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) (pow.f64 (cbrt.f64 (fma.f64 y y -1/4)) 2)) (/.f64 1 (cbrt.f64 (+.f64 3/2 y))))
(*.f64 (/.f64 -1 (sqrt.f64 (fma.f64 y y -1/4))) (/.f64 (+.f64 1/2 y) (sqrt.f64 (fma.f64 y y -1/4))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 y y -1/4)) 2)) (/.f64 (+.f64 1/2 y) (cbrt.f64 (fma.f64 y y -1/4))))
(pow.f64 (/.f64 1 (+.f64 3/2 y)) 1)
(pow.f64 (sqrt.f64 (/.f64 1 (+.f64 3/2 y))) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 3/2 y))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 3/2 y)) 3) 1/3)
(pow.f64 (+.f64 3/2 y) -1)
(neg.f64 (/.f64 1 (+.f64 3/2 y)))
(sqrt.f64 (pow.f64 (/.f64 1 (+.f64 3/2 y)) 2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 3/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 3/2 y)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 3/2 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1/2 y) 3) (pow.f64 (fma.f64 y y -1/4) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 3/2 y))))
(exp.f64 (neg.f64 (log.f64 (+.f64 3/2 y))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 3/2 y))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 3/2 y))))
(+.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) (*.f64 y y)) (*.f64 (/.f64 x (+.f64 1/2 y)) -1/4))
(+.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) -1/4) (*.f64 (/.f64 x (+.f64 1/2 y)) (*.f64 y y)))
(+.f64 (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y))) (*.f64 -1/4 (/.f64 x (+.f64 1/2 y))))
(+.f64 (*.f64 -1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y))))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 1 (*.f64 (/.f64 x (+.f64 1/2 y)) (*.f64 y y))) (*.f64 1 (*.f64 (/.f64 x (+.f64 1/2 y)) -1/4)))
(+.f64 (*.f64 1 (*.f64 (/.f64 x (+.f64 1/2 y)) -1/4)) (*.f64 1 (*.f64 (/.f64 x (+.f64 1/2 y)) (*.f64 y y))))
(+.f64 (*.f64 1 (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y)))) (*.f64 1 (*.f64 -1/4 (/.f64 x (+.f64 1/2 y)))))
(+.f64 (*.f64 1 (*.f64 -1/4 (/.f64 x (+.f64 1/2 y)))) (*.f64 1 (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y)))))
(+.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) 1/4) (*.f64 (/.f64 x (+.f64 1/2 y)) (neg.f64 (*.f64 y y))))
(+.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) 1/4) (*.f64 (/.f64 x (+.f64 1/2 y)) (*.f64 (neg.f64 y) y)))
(+.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) 1/4) (*.f64 (/.f64 x (+.f64 1/2 y)) (*.f64 -1 (*.f64 y y))))
(+.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) 1/4) (*.f64 (/.f64 x (+.f64 1/2 y)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 y 4))) (pow.f64 (cbrt.f64 y) 2))))
(+.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) (neg.f64 (*.f64 y y))) (*.f64 (/.f64 x (+.f64 1/2 y)) 1/4))
(+.f64 (*.f64 (neg.f64 x) 1/2) (*.f64 (neg.f64 x) (neg.f64 y)))
(+.f64 (*.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) 1) (*.f64 y y)) (*.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) 1) -1/4))
(+.f64 (*.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) 1) -1/4) (*.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) 1) (*.f64 y y)))
(+.f64 (*.f64 (/.f64 x 1) 1/2) (*.f64 (/.f64 x 1) (neg.f64 y)))
(+.f64 (*.f64 1/2 x) (*.f64 (neg.f64 y) x))
(+.f64 (*.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) (*.f64 y y)) 1) (*.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) -1/4) 1))
(+.f64 (*.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) -1/4) 1) (*.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) (*.f64 y y)) 1))
(+.f64 (*.f64 (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y))) 1) (*.f64 (*.f64 -1/4 (/.f64 x (+.f64 1/2 y))) 1))
(+.f64 (*.f64 (*.f64 -1/4 (/.f64 x (+.f64 1/2 y))) 1) (*.f64 (*.f64 (*.f64 y y) (/.f64 x (+.f64 1/2 y))) 1))
(+.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 (neg.f64 (*.f64 y y)) (/.f64 x (+.f64 1/2 y))))
(+.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 (neg.f64 y) y) (/.f64 x (+.f64 1/2 y))))
(+.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 -1 (*.f64 y y)) (/.f64 x (+.f64 1/2 y))))
(+.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 y 4))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (+.f64 1/2 y))))
(+.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 x (+.f64 1/2 y))) (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(+.f64 (*.f64 1/2 (neg.f64 x)) (*.f64 (neg.f64 y) (neg.f64 x)))
(+.f64 (*.f64 (*.f64 y y) (*.f64 (/.f64 x (+.f64 1/2 y)) 1)) (*.f64 -1/4 (*.f64 (/.f64 x (+.f64 1/2 y)) 1)))
(+.f64 (*.f64 -1/4 (*.f64 (/.f64 x (+.f64 1/2 y)) 1)) (*.f64 (*.f64 y y) (*.f64 (/.f64 x (+.f64 1/2 y)) 1)))
(+.f64 (*.f64 1/2 (/.f64 x 1)) (*.f64 (neg.f64 y) (/.f64 x 1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 3/2 y)))) 1)
(*.f64 (fma.f64 y y -1/4) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (+.f64 3/2 y))
(*.f64 (*.f64 x (+.f64 3/2 y)) 1)
(*.f64 1 (*.f64 x (+.f64 3/2 y)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 3/2 y)))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 3/2 y))) (sqrt.f64 (*.f64 x (+.f64 3/2 y))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 3/2 y)))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 3/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 3/2 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 3/2 y))) 2) (cbrt.f64 (*.f64 x (+.f64 3/2 y))))
(*.f64 (/.f64 x (+.f64 1/2 y)) (fma.f64 y y -1/4))
(*.f64 (/.f64 x (+.f64 1/2 y)) (neg.f64 (fma.f64 y y -1/4)))
(*.f64 (+.f64 3/2 y) x)
(*.f64 (neg.f64 x) (+.f64 3/2 y))
(*.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) 1) (fma.f64 y y -1/4))
(*.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) (sqrt.f64 (fma.f64 y y -1/4))) (sqrt.f64 (fma.f64 y y -1/4)))
(*.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) (pow.f64 (cbrt.f64 (fma.f64 y y -1/4)) 2)) (cbrt.f64 (fma.f64 y y -1/4)))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 3/2 y)))) (/.f64 x (sqrt.f64 (/.f64 1 (+.f64 3/2 y)))))
(*.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 3/2 y))) 2)) (/.f64 x (/.f64 1 (cbrt.f64 (+.f64 3/2 y)))))
(*.f64 (/.f64 x 1) (+.f64 3/2 y))
(*.f64 (/.f64 1 (+.f64 1/2 y)) (/.f64 x (/.f64 1 (fma.f64 y y -1/4))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1 (+.f64 3/2 y))))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 1/2 y)) (/.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 y y -1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 1 (+.f64 3/2 y))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 3/2 y))) 2)) (/.f64 (sqrt.f64 x) (/.f64 1 (cbrt.f64 (+.f64 3/2 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1/2 y)) (/.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 y y -1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 1 (+.f64 3/2 y)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 1 (+.f64 3/2 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 3/2 y))) 2)) (cbrt.f64 (*.f64 x (+.f64 3/2 y))))
(pow.f64 (*.f64 x (+.f64 3/2 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 3/2 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 3/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 3/2 y)) 3) 1/3)
(pow.f64 (/.f64 (/.f64 1 (+.f64 3/2 y)) x) -1)
(neg.f64 (*.f64 x (+.f64 3/2 y)))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 3/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 3/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 3/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 3/2 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (+.f64 3/2 y)) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 3/2 y))))
(exp.f64 (log.f64 (*.f64 x (+.f64 3/2 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 3/2 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 3/2 y))))
(-.f64 (*.f64 y y) 1/4)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y y))) 5/4)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y y -1/4))) 1)
(-.f64 (/.f64 (pow.f64 y 4) (fma.f64 y y 1/4)) (/.f64 1/16 (fma.f64 y y 1/4)))
(-.f64 (+.f64 -1/4 (exp.f64 (log1p.f64 (*.f64 y y)))) 1)
(*.f64 (fma.f64 y y -1/4) 1)
(*.f64 1 (fma.f64 y y -1/4))
(*.f64 (sqrt.f64 (fma.f64 y y -1/4)) (sqrt.f64 (fma.f64 y y -1/4)))
(*.f64 (cbrt.f64 (fma.f64 y y -1/4)) (pow.f64 (cbrt.f64 (fma.f64 y y -1/4)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y y -1/4)) 2) (cbrt.f64 (fma.f64 y y -1/4)))
(*.f64 (+.f64 (pow.f64 y 4) -1/16) (/.f64 1 (fma.f64 y y 1/4)))
(*.f64 (+.f64 -1/64 (pow.f64 y 6)) (/.f64 1 (+.f64 (pow.f64 y 4) (-.f64 1/16 (*.f64 y (*.f64 y -1/4))))))
(/.f64 (fma.f64 y y -1/4) 1)
(/.f64 1 (/.f64 (fma.f64 y y 1/4) (+.f64 (pow.f64 y 4) -1/16)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 y 4) (-.f64 1/16 (*.f64 y (*.f64 y -1/4)))) (+.f64 -1/64 (pow.f64 y 6))))
(/.f64 1 (*.f64 1 (/.f64 (fma.f64 y y 1/4) (+.f64 (pow.f64 y 4) -1/16))))
(/.f64 1 (*.f64 1 (/.f64 (+.f64 (pow.f64 y 4) (-.f64 1/16 (*.f64 y (*.f64 y -1/4)))) (+.f64 -1/64 (pow.f64 y 6)))))
(/.f64 (+.f64 (pow.f64 y 4) -1/16) (fma.f64 y y 1/4))
(/.f64 (+.f64 -1/64 (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (-.f64 1/16 (*.f64 y (*.f64 y -1/4)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y 4) -1/16)) (neg.f64 (fma.f64 y y 1/4)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y 4) -1/16)) (*.f64 1 (neg.f64 (fma.f64 y y 1/4))))
(/.f64 (neg.f64 (+.f64 -1/64 (pow.f64 y 6))) (neg.f64 (+.f64 (pow.f64 y 4) (-.f64 1/16 (*.f64 y (*.f64 y -1/4))))))
(/.f64 (neg.f64 (+.f64 -1/64 (pow.f64 y 6))) (*.f64 1 (neg.f64 (+.f64 (pow.f64 y 4) (-.f64 1/16 (*.f64 y (*.f64 y -1/4)))))))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (-.f64 -1/4 (*.f64 y y)))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (*.f64 1 (-.f64 -1/4 (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (pow.f64 y 6) (pow.f64 y 6)) 1/4096) (*.f64 (+.f64 (pow.f64 y 4) (-.f64 1/16 (*.f64 y (*.f64 y -1/4)))) (-.f64 (pow.f64 y 6) -1/64)))
(/.f64 (-.f64 (*.f64 (pow.f64 y 4) (pow.f64 y 4)) 1/256) (*.f64 (fma.f64 y y 1/4) (+.f64 (pow.f64 y 4) 1/16)))
(/.f64 (+.f64 -1/262144 (pow.f64 (pow.f64 y 6) 3)) (*.f64 (+.f64 (pow.f64 y 4) (-.f64 1/16 (*.f64 y (*.f64 y -1/4)))) (+.f64 (*.f64 (pow.f64 y 6) (pow.f64 y 6)) (-.f64 1/4096 (*.f64 (pow.f64 y 6) -1/64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 y 4) 3) 1/4096) (*.f64 (fma.f64 y y 1/4) (+.f64 (*.f64 (pow.f64 y 4) (pow.f64 y 4)) (+.f64 1/256 (*.f64 (pow.f64 y 4) 1/16)))))
(pow.f64 (fma.f64 y y -1/4) 1)
(pow.f64 (sqrt.f64 (fma.f64 y y -1/4)) 2)
(pow.f64 (cbrt.f64 (fma.f64 y y -1/4)) 3)
(pow.f64 (pow.f64 (fma.f64 y y -1/4) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 y y -1/4) 2))
(log.f64 (exp.f64 (fma.f64 y y -1/4)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y y -1/4))))
(cbrt.f64 (pow.f64 (fma.f64 y y -1/4) 3))
(expm1.f64 (log1p.f64 (fma.f64 y y -1/4)))
(exp.f64 (log.f64 (fma.f64 y y -1/4)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y y -1/4)) 1))
(log1p.f64 (expm1.f64 (fma.f64 y y -1/4)))
(fma.f64 y y -1/4)
(fma.f64 1 (*.f64 y y) -1/4)
(fma.f64 (cbrt.f64 (pow.f64 y 4)) (pow.f64 (cbrt.f64 y) 2) -1/4)
Outputs
2
(+.f64 2 (*.f64 4 y))
(fma.f64 4 y 2)
(+.f64 2 (+.f64 (*.f64 4 y) (*.f64 8 (pow.f64 y 2))))
(+.f64 2 (fma.f64 4 y (*.f64 8 (*.f64 y y))))
(+.f64 2 (fma.f64 4 y (*.f64 y (*.f64 y 8))))
(+.f64 2 (*.f64 y (+.f64 4 (*.f64 y 8))))
(+.f64 2 (+.f64 (*.f64 4 y) (+.f64 (*.f64 8 (pow.f64 y 2)) (*.f64 16 (pow.f64 y 3)))))
(+.f64 2 (fma.f64 4 y (fma.f64 8 (*.f64 y y) (*.f64 16 (pow.f64 y 3)))))
(+.f64 (fma.f64 4 y 2) (*.f64 (*.f64 y y) (+.f64 8 (*.f64 y 16))))
(/.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 1/2 (*.f64 y y))))
(+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y)))
(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 1/2 (*.f64 y y)) (/.f64 1/4 (pow.f64 y 3)))))
(-.f64 (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y))) (/.f64 1/4 (pow.f64 y 3)))
(+.f64 (/.f64 -1 y) (-.f64 (/.f64 -1/2 (*.f64 y y)) (/.f64 1/4 (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)))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (+.f64 (/.f64 1/8 (pow.f64 y 4)) (/.f64 1/2 (*.f64 y y))) (/.f64 1/4 (pow.f64 y 3)))))
(-.f64 (/.f64 -1 y) (+.f64 (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/4 (pow.f64 y 3))) (/.f64 1/8 (pow.f64 y 4))))
(-.f64 (-.f64 (/.f64 -1 y) (/.f64 1/4 (pow.f64 y 3))) (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/8 (pow.f64 y 4))))
(/.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 1/2 (*.f64 y y))))
(+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y)))
(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 1/2 (*.f64 y y)) (/.f64 1/4 (pow.f64 y 3)))))
(-.f64 (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y))) (/.f64 1/4 (pow.f64 y 3)))
(+.f64 (/.f64 -1 y) (-.f64 (/.f64 -1/2 (*.f64 y y)) (/.f64 1/4 (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)))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (+.f64 (/.f64 1/8 (pow.f64 y 4)) (/.f64 1/2 (*.f64 y y))) (/.f64 1/4 (pow.f64 y 3)))))
(-.f64 (/.f64 -1 y) (+.f64 (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/4 (pow.f64 y 3))) (/.f64 1/8 (pow.f64 y 4))))
(-.f64 (-.f64 (/.f64 -1 y) (/.f64 1/4 (pow.f64 y 3))) (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/8 (pow.f64 y 4))))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) x) (+.f64 1/2 y)))
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (fma.f64 y y -1/4) (/.f64 (neg.f64 x) (+.f64 y 1/2)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) x) (+.f64 1/2 y)))
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (fma.f64 y y -1/4) (/.f64 (neg.f64 x) (+.f64 y 1/2)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) x) (+.f64 1/2 y)))
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (fma.f64 y y -1/4) (/.f64 (neg.f64 x) (+.f64 y 1/2)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) x) (+.f64 1/2 y)))
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (fma.f64 y y -1/4) (/.f64 (neg.f64 x) (+.f64 y 1/2)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) x) (+.f64 1/2 y)))
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 y 1/2)))
(*.f64 (fma.f64 y y -1/4) (/.f64 (neg.f64 x) (+.f64 y 1/2)))
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(*.f64 x (/.f64 (fma.f64 y y -1/4) (+.f64 y 1/2)))
(*.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) (pow.f64 (cbrt.f64 (fma.f64 y y -1/4)) 2)) (cbrt.f64 (fma.f64 y y -1/4)))
(/.f64 (*.f64 x (fma.f64 y y -1/4)) (+.f64 y 1/2))
(*.f64 (/.f64 (fma.f64 y y -1/4) (+.f64 y 1/2)) x)
(*.f64 x (/.f64 (fma.f64 y y -1/4) (+.f64 y 1/2)))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 3/2 y)))) (/.f64 x (sqrt.f64 (/.f64 1 (+.f64 3/2 y)))))
(*.f64 x (+.f64 y 3/2))
(*.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 3/2 y))) 2)) (/.f64 x (/.f64 1 (cbrt.f64 (+.f64 3/2 y)))))
(*.f64 x (+.f64 y 3/2))
(*.f64 (/.f64 x 1) (+.f64 3/2 y))
(*.f64 x (+.f64 y 3/2))
(*.f64 (/.f64 1 (+.f64 1/2 y)) (/.f64 x (/.f64 1 (fma.f64 y y -1/4))))
(/.f64 (*.f64 x (fma.f64 y y -1/4)) (+.f64 y 1/2))
(*.f64 (/.f64 (fma.f64 y y -1/4) (+.f64 y 1/2)) x)
(*.f64 x (/.f64 (fma.f64 y y -1/4) (+.f64 y 1/2)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1 (+.f64 3/2 y))))
(*.f64 x (+.f64 y 3/2))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 1/2 y)) (/.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 y y -1/4))))
(/.f64 (*.f64 x (fma.f64 y y -1/4)) (+.f64 y 1/2))
(*.f64 (/.f64 (fma.f64 y y -1/4) (+.f64 y 1/2)) x)
(*.f64 x (/.f64 (fma.f64 y y -1/4) (+.f64 y 1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 1 (+.f64 3/2 y))))
(*.f64 x (+.f64 y 3/2))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 3/2 y))) 2)) (/.f64 (sqrt.f64 x) (/.f64 1 (cbrt.f64 (+.f64 3/2 y)))))
(*.f64 x (+.f64 y 3/2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1/2 y)) (/.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 y y -1/4))))
(/.f64 (*.f64 x (fma.f64 y y -1/4)) (+.f64 y 1/2))
(*.f64 (/.f64 (fma.f64 y y -1/4) (+.f64 y 1/2)) x)
(*.f64 x (/.f64 (fma.f64 y y -1/4) (+.f64 y 1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 1 (+.f64 3/2 y)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 1 (+.f64 3/2 y)))))
(*.f64 x (+.f64 y 3/2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 3/2 y))) 2)) (cbrt.f64 (*.f64 x (+.f64 3/2 y))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 y 3/2)))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 y 3/2))) 2))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 y 3/2))) 2) (cbrt.f64 (*.f64 x (+.f64 y 3/2)))))
(pow.f64 (*.f64 x (+.f64 3/2 y)) 1)
(*.f64 x (+.f64 y 3/2))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 3/2 y))) 2)
(*.f64 x (+.f64 y 3/2))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 3/2 y))) 3)
(*.f64 x (+.f64 y 3/2))
(pow.f64 (pow.f64 (*.f64 x (+.f64 3/2 y)) 3) 1/3)
(*.f64 x (+.f64 y 3/2))
(pow.f64 (/.f64 (/.f64 1 (+.f64 3/2 y)) x) -1)
(*.f64 x (+.f64 y 3/2))
(neg.f64 (*.f64 x (+.f64 3/2 y)))
(*.f64 x (neg.f64 (+.f64 y 3/2)))
(*.f64 (+.f64 y 3/2) (neg.f64 x))
(*.f64 x (-.f64 -3/2 y))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 3/2 y)) 2))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y 3/2)) 2))
(fabs.f64 (*.f64 x (+.f64 y 3/2)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 3/2 y)))
(*.f64 x (+.f64 y 3/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 3/2 y)))))
(*.f64 x (+.f64 y 3/2))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 3/2 y)) 3))
(*.f64 x (+.f64 y 3/2))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (+.f64 3/2 y)) 3)))
(*.f64 x (+.f64 y 3/2))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 3/2 y))))
(*.f64 x (+.f64 y 3/2))
(exp.f64 (log.f64 (*.f64 x (+.f64 3/2 y))))
(*.f64 x (+.f64 y 3/2))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 3/2 y))) 1))
(*.f64 x (+.f64 y 3/2))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 3/2 y))))
(*.f64 x (+.f64 y 3/2))
(-.f64 (*.f64 y y) 1/4)
(fma.f64 y y -1/4)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y y))) 5/4)
(+.f64 (exp.f64 (log1p.f64 (*.f64 y y))) -5/4)
(+.f64 -1/4 (expm1.f64 (log1p.f64 (*.f64 y y))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y y -1/4))) 1)
(fma.f64 y y -1/4)
(-.f64 (/.f64 (pow.f64 y 4) (fma.f64 y y 1/4)) (/.f64 1/16 (fma.f64 y y 1/4)))
(+.f64 (/.f64 (pow.f64 y 4) (fma.f64 y y 1/4)) (/.f64 -1/16 (fma.f64 y y 1/4)))
(-.f64 (+.f64 -1/4 (exp.f64 (log1p.f64 (*.f64 y y)))) 1)
(+.f64 (exp.f64 (log1p.f64 (*.f64 y y))) -5/4)
(+.f64 -1/4 (expm1.f64 (log1p.f64 (*.f64 y y))))
(*.f64 (fma.f64 y y -1/4) 1)
(fma.f64 y y -1/4)
(*.f64 1 (fma.f64 y y -1/4))
(fma.f64 y y -1/4)
(*.f64 (sqrt.f64 (fma.f64 y y -1/4)) (sqrt.f64 (fma.f64 y y -1/4)))
(fma.f64 y y -1/4)
(*.f64 (cbrt.f64 (fma.f64 y y -1/4)) (pow.f64 (cbrt.f64 (fma.f64 y y -1/4)) 2))
(fma.f64 y y -1/4)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y y -1/4)) 2) (cbrt.f64 (fma.f64 y y -1/4)))
(fma.f64 y y -1/4)
(*.f64 (+.f64 (pow.f64 y 4) -1/16) (/.f64 1 (fma.f64 y y 1/4)))
(/.f64 (+.f64 (pow.f64 y 4) -1/16) (fma.f64 y y 1/4))
(*.f64 (+.f64 -1/64 (pow.f64 y 6)) (/.f64 1 (+.f64 (pow.f64 y 4) (-.f64 1/16 (*.f64 y (*.f64 y -1/4))))))
(/.f64 (+.f64 -1/64 (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (+.f64 1/16 (*.f64 (*.f64 y y) 1/4))))
(/.f64 (+.f64 -1/64 (pow.f64 y 6)) (+.f64 1/16 (*.f64 (*.f64 y y) (fma.f64 y y 1/4))))
(/.f64 (fma.f64 y y -1/4) 1)
(fma.f64 y y -1/4)
(/.f64 1 (/.f64 (fma.f64 y y 1/4) (+.f64 (pow.f64 y 4) -1/16)))
(*.f64 (+.f64 (pow.f64 y 4) -1/16) (/.f64 1 (fma.f64 y y 1/4)))
(/.f64 (+.f64 (pow.f64 y 4) -1/16) (fma.f64 y y 1/4))
(/.f64 1 (/.f64 (+.f64 (pow.f64 y 4) (-.f64 1/16 (*.f64 y (*.f64 y -1/4)))) (+.f64 -1/64 (pow.f64 y 6))))
(*.f64 (+.f64 -1/64 (pow.f64 y 6)) (/.f64 1 (+.f64 (pow.f64 y 4) (-.f64 1/16 (*.f64 y (*.f64 y -1/4))))))
(/.f64 (+.f64 -1/64 (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (+.f64 1/16 (*.f64 (*.f64 y y) 1/4))))
(/.f64 (+.f64 -1/64 (pow.f64 y 6)) (+.f64 1/16 (*.f64 (*.f64 y y) (fma.f64 y y 1/4))))
(/.f64 1 (*.f64 1 (/.f64 (fma.f64 y y 1/4) (+.f64 (pow.f64 y 4) -1/16))))
(*.f64 (+.f64 (pow.f64 y 4) -1/16) (/.f64 1 (fma.f64 y y 1/4)))
(/.f64 (+.f64 (pow.f64 y 4) -1/16) (fma.f64 y y 1/4))
(/.f64 1 (*.f64 1 (/.f64 (+.f64 (pow.f64 y 4) (-.f64 1/16 (*.f64 y (*.f64 y -1/4)))) (+.f64 -1/64 (pow.f64 y 6)))))
(*.f64 (+.f64 -1/64 (pow.f64 y 6)) (/.f64 1 (+.f64 (pow.f64 y 4) (-.f64 1/16 (*.f64 y (*.f64 y -1/4))))))
(/.f64 (+.f64 -1/64 (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (+.f64 1/16 (*.f64 (*.f64 y y) 1/4))))
(/.f64 (+.f64 -1/64 (pow.f64 y 6)) (+.f64 1/16 (*.f64 (*.f64 y y) (fma.f64 y y 1/4))))
(/.f64 (+.f64 (pow.f64 y 4) -1/16) (fma.f64 y y 1/4))
(*.f64 (+.f64 (pow.f64 y 4) -1/16) (/.f64 1 (fma.f64 y y 1/4)))
(/.f64 (+.f64 -1/64 (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (-.f64 1/16 (*.f64 y (*.f64 y -1/4)))))
(*.f64 (+.f64 -1/64 (pow.f64 y 6)) (/.f64 1 (+.f64 (pow.f64 y 4) (-.f64 1/16 (*.f64 y (*.f64 y -1/4))))))
(/.f64 (+.f64 -1/64 (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (+.f64 1/16 (*.f64 (*.f64 y y) 1/4))))
(/.f64 (+.f64 -1/64 (pow.f64 y 6)) (+.f64 1/16 (*.f64 (*.f64 y y) (fma.f64 y y 1/4))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y 4) -1/16)) (neg.f64 (fma.f64 y y 1/4)))
(*.f64 (+.f64 (pow.f64 y 4) -1/16) (/.f64 1 (fma.f64 y y 1/4)))
(/.f64 (+.f64 (pow.f64 y 4) -1/16) (fma.f64 y y 1/4))
(/.f64 (neg.f64 (+.f64 (pow.f64 y 4) -1/16)) (*.f64 1 (neg.f64 (fma.f64 y y 1/4))))
(*.f64 (+.f64 (pow.f64 y 4) -1/16) (/.f64 1 (fma.f64 y y 1/4)))
(/.f64 (+.f64 (pow.f64 y 4) -1/16) (fma.f64 y y 1/4))
(/.f64 (neg.f64 (+.f64 -1/64 (pow.f64 y 6))) (neg.f64 (+.f64 (pow.f64 y 4) (-.f64 1/16 (*.f64 y (*.f64 y -1/4))))))
(*.f64 (+.f64 -1/64 (pow.f64 y 6)) (/.f64 1 (+.f64 (pow.f64 y 4) (-.f64 1/16 (*.f64 y (*.f64 y -1/4))))))
(/.f64 (+.f64 -1/64 (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (+.f64 1/16 (*.f64 (*.f64 y y) 1/4))))
(/.f64 (+.f64 -1/64 (pow.f64 y 6)) (+.f64 1/16 (*.f64 (*.f64 y y) (fma.f64 y y 1/4))))
(/.f64 (neg.f64 (+.f64 -1/64 (pow.f64 y 6))) (*.f64 1 (neg.f64 (+.f64 (pow.f64 y 4) (-.f64 1/16 (*.f64 y (*.f64 y -1/4)))))))
(*.f64 (+.f64 -1/64 (pow.f64 y 6)) (/.f64 1 (+.f64 (pow.f64 y 4) (-.f64 1/16 (*.f64 y (*.f64 y -1/4))))))
(/.f64 (+.f64 -1/64 (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (+.f64 1/16 (*.f64 (*.f64 y y) 1/4))))
(/.f64 (+.f64 -1/64 (pow.f64 y 6)) (+.f64 1/16 (*.f64 (*.f64 y y) (fma.f64 y y 1/4))))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (-.f64 -1/4 (*.f64 y y)))
(*.f64 (+.f64 (pow.f64 y 4) -1/16) (/.f64 1 (fma.f64 y y 1/4)))
(/.f64 (+.f64 (pow.f64 y 4) -1/16) (fma.f64 y y 1/4))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (*.f64 1 (-.f64 -1/4 (*.f64 y y))))
(*.f64 (+.f64 (pow.f64 y 4) -1/16) (/.f64 1 (fma.f64 y y 1/4)))
(/.f64 (+.f64 (pow.f64 y 4) -1/16) (fma.f64 y y 1/4))
(/.f64 (-.f64 (*.f64 (pow.f64 y 6) (pow.f64 y 6)) 1/4096) (*.f64 (+.f64 (pow.f64 y 4) (-.f64 1/16 (*.f64 y (*.f64 y -1/4)))) (-.f64 (pow.f64 y 6) -1/64)))
(/.f64 (/.f64 (+.f64 (pow.f64 y 12) -1/4096) (+.f64 (pow.f64 y 4) (-.f64 1/16 (*.f64 y (*.f64 y -1/4))))) (+.f64 (pow.f64 y 6) 1/64))
(/.f64 (+.f64 (pow.f64 y 12) -1/4096) (*.f64 (+.f64 (pow.f64 y 4) (+.f64 1/16 (*.f64 (*.f64 y y) 1/4))) (+.f64 (pow.f64 y 6) 1/64)))
(/.f64 (+.f64 (pow.f64 y 12) -1/4096) (*.f64 (+.f64 1/16 (*.f64 (*.f64 y y) (fma.f64 y y 1/4))) (+.f64 (pow.f64 y 6) 1/64)))
(/.f64 (-.f64 (*.f64 (pow.f64 y 4) (pow.f64 y 4)) 1/256) (*.f64 (fma.f64 y y 1/4) (+.f64 (pow.f64 y 4) 1/16)))
(/.f64 (/.f64 (+.f64 (pow.f64 y 8) -1/256) (fma.f64 y y 1/4)) (+.f64 (pow.f64 y 4) 1/16))
(/.f64 (+.f64 (pow.f64 y 8) -1/256) (*.f64 (fma.f64 y y 1/4) (+.f64 (pow.f64 y 4) 1/16)))
(/.f64 (+.f64 -1/262144 (pow.f64 (pow.f64 y 6) 3)) (*.f64 (+.f64 (pow.f64 y 4) (-.f64 1/16 (*.f64 y (*.f64 y -1/4)))) (+.f64 (*.f64 (pow.f64 y 6) (pow.f64 y 6)) (-.f64 1/4096 (*.f64 (pow.f64 y 6) -1/64)))))
(/.f64 (+.f64 -1/262144 (pow.f64 (pow.f64 y 6) 3)) (*.f64 (+.f64 (pow.f64 y 4) (-.f64 1/16 (*.f64 y (*.f64 y -1/4)))) (-.f64 (+.f64 (pow.f64 y 12) 1/4096) (*.f64 -1/64 (pow.f64 y 6)))))
(/.f64 (+.f64 -1/262144 (pow.f64 (pow.f64 y 6) 3)) (*.f64 (+.f64 (pow.f64 y 4) (+.f64 1/16 (*.f64 (*.f64 y y) 1/4))) (+.f64 (+.f64 (pow.f64 y 12) 1/4096) (*.f64 (pow.f64 y 6) 1/64))))
(/.f64 (/.f64 (+.f64 -1/262144 (pow.f64 (pow.f64 y 6) 3)) (+.f64 1/4096 (-.f64 (pow.f64 y 12) (*.f64 -1/64 (pow.f64 y 6))))) (+.f64 1/16 (*.f64 (*.f64 y y) (fma.f64 y y 1/4))))
(/.f64 (-.f64 (pow.f64 (pow.f64 y 4) 3) 1/4096) (*.f64 (fma.f64 y y 1/4) (+.f64 (*.f64 (pow.f64 y 4) (pow.f64 y 4)) (+.f64 1/256 (*.f64 (pow.f64 y 4) 1/16)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 y 4) 3) -1/4096) (*.f64 (fma.f64 y y 1/4) (+.f64 (+.f64 (pow.f64 y 8) 1/256) (*.f64 (pow.f64 y 4) 1/16))))
(/.f64 (+.f64 (pow.f64 y 12) -1/4096) (*.f64 (fma.f64 y y 1/4) (+.f64 (pow.f64 y 8) (fma.f64 (pow.f64 y 4) 1/16 1/256))))
(pow.f64 (fma.f64 y y -1/4) 1)
(fma.f64 y y -1/4)
(pow.f64 (sqrt.f64 (fma.f64 y y -1/4)) 2)
(fma.f64 y y -1/4)
(pow.f64 (cbrt.f64 (fma.f64 y y -1/4)) 3)
(fma.f64 y y -1/4)
(pow.f64 (pow.f64 (fma.f64 y y -1/4) 3) 1/3)
(fma.f64 y y -1/4)
(sqrt.f64 (pow.f64 (fma.f64 y y -1/4) 2))
(fabs.f64 (fma.f64 y y -1/4))
(log.f64 (exp.f64 (fma.f64 y y -1/4)))
(fma.f64 y y -1/4)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y y -1/4))))
(fma.f64 y y -1/4)
(cbrt.f64 (pow.f64 (fma.f64 y y -1/4) 3))
(fma.f64 y y -1/4)
(expm1.f64 (log1p.f64 (fma.f64 y y -1/4)))
(fma.f64 y y -1/4)
(exp.f64 (log.f64 (fma.f64 y y -1/4)))
(fma.f64 y y -1/4)
(exp.f64 (*.f64 (log.f64 (fma.f64 y y -1/4)) 1))
(fma.f64 y y -1/4)
(log1p.f64 (expm1.f64 (fma.f64 y y -1/4)))
(fma.f64 y y -1/4)
(fma.f64 y y -1/4)
(fma.f64 1 (*.f64 y y) -1/4)
(fma.f64 y y -1/4)
(fma.f64 (cbrt.f64 (pow.f64 y 4)) (pow.f64 (cbrt.f64 y) 2) -1/4)

eval537.0ms (5.8%)

Compiler

Compiled 17772 to 13484 computations (24.1% saved)

prune235.0ms (2.5%)

Pruning

23 alts after pruning (16 fresh and 7 done)

PrunedKeptTotal
New79916815
Fresh202
Picked101
Done4711
Total80623829
Error
0.2b
Counts
829 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
12.4b
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
62.8b
(pow.f64 (pow.f64 (*.f64 x (+.f64 3/2 y)) 3) 1/3)
57.3b
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
62.1b
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
62.3b
(/.f64 x (/.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2) (*.f64 (cbrt.f64 (+.f64 y 3/2)) (pow.f64 (cbrt.f64 (fma.f64 y y -1/4)) 2))))
57.0b
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (*.f64 y y)))
62.1b
(/.f64 x (/.f64 1 (+.f64 y 3/2)))
46.6b
(/.f64 x (/.f64 -1 (+.f64 y 3/2)))
35.0b
(/.f64 x (/.f64 -1 y))
12.9b
(-.f64 (+.f64 1 (log.f64 2)) (-.f64 1 (+.f64 0 (*.f64 (-.f64 1/2 y) x))))
0.3b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
6.3b
(-.f64 (log.f64 2) (*.f64 x y))
27.8b
(+.f64 (+.f64 1 (*.f64 1/2 x)) (-.f64 (log.f64 2) 1))
62.2b
(+.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) (*.f64 y y)) (*.f64 (/.f64 x (+.f64 1/2 y)) -1/4))
27.8b
(+.f64 (*.f64 1/2 x) (log.f64 2))
58.7b
(*.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y))
62.1b
(*.f64 (+.f64 3/2 y) x)
46.6b
(*.f64 x (-.f64 -3/2 y))
62.0b
(*.f64 x (+.f64 y -1/2))
34.9b
(*.f64 x (neg.f64 y))
61.9b
(*.f64 1/2 x)
27.9b
(log.f64 2)
62.6b
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 3/2 y))))
Compiler

Compiled 238 to 179 computations (24.8% saved)

regimes72.0ms (0.8%)

Counts
34 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 x (+.f64 y -1/2))
(*.f64 x (-.f64 -3/2 y))
(*.f64 (+.f64 3/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 -1 y))
(/.f64 x (/.f64 -1 (+.f64 y 3/2)))
(/.f64 x (/.f64 1 (+.f64 y 3/2)))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (*.f64 y y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
(*.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 1/2 y)) (*.f64 y y)) (*.f64 (/.f64 x (+.f64 1/2 y)) -1/4))
(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 1 (*.f64 1/2 x)) (-.f64 (log.f64 2) 1))
(+.f64 (+.f64 1 (*.f64 (-.f64 1/2 y) x)) (-.f64 (log.f64 2) 1))
(-.f64 (+.f64 1 (log.f64 2)) (-.f64 1 (+.f64 0 (*.f64 (-.f64 1/2 y) x))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 3/2 y))))
(-.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))
(pow.f64 (pow.f64 (*.f64 x (+.f64 3/2 y)) 3) 1/3)
(expm1.f64 (log1p.f64 (+.f64 (*.f64 1/2 x) (log.f64 2))))
(+.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(expm1.f64 (+.f64 (+.f64 (log.f64 x) (/.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) (+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (log.f64 (-.f64 1/2 y)))))
(/.f64 x (/.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2) (*.f64 (cbrt.f64 (+.f64 y 3/2)) (pow.f64 (cbrt.f64 (fma.f64 y y -1/4)) 2))))
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Calls

3 calls:

25.0ms
y
21.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
18.0ms
x
Results
ErrorSegmentsBranch
0.3b1x
0.3b1y
0.3b1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 328 to 225 computations (31.4% saved)

regimes91.0ms (1%)

Counts
25 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 x (+.f64 y -1/2))
(*.f64 x (-.f64 -3/2 y))
(*.f64 (+.f64 3/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 -1 y))
(/.f64 x (/.f64 -1 (+.f64 y 3/2)))
(/.f64 x (/.f64 1 (+.f64 y 3/2)))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (*.f64 y y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
(*.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 1/2 y)) (*.f64 y y)) (*.f64 (/.f64 x (+.f64 1/2 y)) -1/4))
(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 1 (*.f64 1/2 x)) (-.f64 (log.f64 2) 1))
(+.f64 (+.f64 1 (*.f64 (-.f64 1/2 y) x)) (-.f64 (log.f64 2) 1))
(-.f64 (+.f64 1 (log.f64 2)) (-.f64 1 (+.f64 0 (*.f64 (-.f64 1/2 y) x))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 3/2 y))))
Outputs
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
Calls

2 calls:

51.0ms
y
34.0ms
x
Results
ErrorSegmentsBranch
0.6b2x
5.0b3y
Compiler

Compiled 211 to 140 computations (33.6% saved)

bsearch20.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
-24.875384822797496
-3.019859597062002e-6
Results
18.0ms144×body256valid
Compiler

Compiled 178 to 138 computations (22.5% saved)

regimes61.0ms (0.7%)

Counts
20 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 x (+.f64 y -1/2))
(*.f64 x (-.f64 -3/2 y))
(*.f64 (+.f64 3/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 -1 y))
(/.f64 x (/.f64 -1 (+.f64 y 3/2)))
(/.f64 x (/.f64 1 (+.f64 y 3/2)))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (*.f64 y y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
(*.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 1/2 y)) (*.f64 y y)) (*.f64 (/.f64 x (+.f64 1/2 y)) -1/4))
(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:

36.0ms
y
20.0ms
x
Results
ErrorSegmentsBranch
0.8b2x
5.0b3y
Compiler

Compiled 160 to 98 computations (38.8% saved)

bsearch54.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
54.0ms
-522022885.2896066
-391.50050988265144
Results
38.0ms54×body1024valid
11.0ms79×body256valid
3.0ms11×body512valid
0.0msbody256infinite
Compiler

Compiled 160 to 120 computations (25% saved)

regimes118.0ms (1.3%)

Counts
19 → 4
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 x (+.f64 y -1/2))
(*.f64 x (-.f64 -3/2 y))
(*.f64 (+.f64 3/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 -1 y))
(/.f64 x (/.f64 -1 (+.f64 y 3/2)))
(/.f64 x (/.f64 1 (+.f64 y 3/2)))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (*.f64 y y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
(*.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 1/2 y)) (*.f64 y y)) (*.f64 (/.f64 x (+.f64 1/2 y)) -1/4))
(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:

56.0ms
y
55.0ms
x
Results
ErrorSegmentsBranch
8.7b4x
17.7b5y
Compiler

Compiled 154 to 94 computations (39% saved)

bsearch61.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
27.0ms
1.7153399640910846e-79
2.5700976943018823e-74
21.0ms
2.6986941472912393e-98
9.34373035807309e-92
13.0ms
-1.0139139969076122e-29
-7.4825832567530175e-31
Results
56.0ms384×body256valid
Compiler

Compiled 358 to 297 computations (17% saved)

regimes81.0ms (0.9%)

Counts
18 → 4
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 x (+.f64 y -1/2))
(*.f64 x (-.f64 -3/2 y))
(*.f64 (+.f64 3/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 -1 y))
(/.f64 x (/.f64 -1 (+.f64 y 3/2)))
(/.f64 x (/.f64 1 (+.f64 y 3/2)))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (*.f64 y y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
(*.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 1/2 y)) (*.f64 y y)) (*.f64 (/.f64 x (+.f64 1/2 y)) -1/4))
(log.f64 2)
Outputs
(*.f64 x (neg.f64 y))
(log.f64 2)
(*.f64 (-.f64 1/2 y) x)
(log.f64 2)
Calls

2 calls:

43.0ms
y
34.0ms
x
Results
ErrorSegmentsBranch
8.8b4x
18.0b5y
Compiler

Compiled 148 to 89 computations (39.9% saved)

bsearch66.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
25.0ms
1.7153399640910846e-79
2.5700976943018823e-74
26.0ms
2.6986941472912393e-98
9.34373035807309e-92
15.0ms
-1.0139139969076122e-29
-7.4825832567530175e-31
Results
61.0ms384×body256valid
Compiler

Compiled 322 to 270 computations (16.1% saved)

regimes35.0ms (0.4%)

Accuracy

Total -28.4b remaining (-81.3%)

Threshold costs -28.4b (-81.3%)

Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 x (+.f64 y -1/2))
(*.f64 x (-.f64 -3/2 y))
(*.f64 (+.f64 3/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 -1 y))
(/.f64 x (/.f64 -1 (+.f64 y 3/2)))
(/.f64 x (/.f64 1 (+.f64 y 3/2)))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (*.f64 y y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(/.f64 x (/.f64 (neg.f64 (+.f64 1/2 y)) (+.f64 (*.f64 y y) -1/4)))
(*.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 1/2 y)) (*.f64 y y)) (*.f64 (/.f64 x (+.f64 1/2 y)) -1/4))
Outputs
(*.f64 x (neg.f64 y))
Calls

2 calls:

13.0ms
x
8.0ms
y
Results
ErrorSegmentsBranch
34.9b1x
34.9b1y
Compiler

Compiled 146 to 87 computations (40.4% saved)

simplify11.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
047253
170253
282253
387253
489253
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -400) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -6422614617176819/1427247692705959881058285969449495136382746624) (*.f64 x (neg.f64 y)) (if (<=.f64 x 32108980623861/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656) (log.f64 2) (if (<=.f64 x 3504353730807743/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192) (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/2 x) (log.f64 2)))))
(if (<=.f64 x -178405961588245/22300745198530623141535718272648361505980416) (*.f64 x (neg.f64 y)) (if (<=.f64 x 6012269011901013/150306725297525326584926758194517569752043683130132471725266622178061377607334940381676735896625196994043838464) (log.f64 2) (if (<=.f64 x 7676203410340771/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (*.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 -3152519739159347/2251799813685248) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -3152519739159347/2251799813685248) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -400) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -6422614617176819/1427247692705959881058285969449495136382746624) (*.f64 x (neg.f64 y)) (if (<=.f64 x 32108980623861/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656) (log.f64 2) (if (<=.f64 x 3504353730807743/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192) (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/2 x) (log.f64 2)))))
(if (<=.f64 x -6422614617176819/1427247692705959881058285969449495136382746624) (*.f64 x (neg.f64 y)) (if (<=.f64 x 32108980623861/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656) (log.f64 2) (if (<=.f64 x 3504353730807743/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192) (*.f64 x (-.f64 1/2 y)) (+.f64 (log.f64 2) (*.f64 x 1/2)))))
(if (<=.f64 x -178405961588245/22300745198530623141535718272648361505980416) (*.f64 x (neg.f64 y)) (if (<=.f64 x 6012269011901013/150306725297525326584926758194517569752043683130132471725266622178061377607334940381676735896625196994043838464) (log.f64 2) (if (<=.f64 x 7676203410340771/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(if (<=.f64 x -178405961588245/22300745198530623141535718272648361505980416) (*.f64 x (neg.f64 y)) (if (<=.f64 x 6012269011901013/150306725297525326584926758194517569752043683130132471725266622178061377607334940381676735896625196994043838464) (log.f64 2) (if (<=.f64 x 7676203410340771/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (*.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)

soundness194.0ms (2.1%)

Algorithm
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
node limit
Compiler

Compiled 18 to 10 computations (44.4% saved)

end74.0ms (0.8%)

Compiler

Compiled 100 to 60 computations (40% saved)

Profiling

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