Details

Time bar (total: 12.0s)

analyze152.0ms (1.3%)

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

Compiled 12 to 9 computations (25% saved)

sample3.3s (27.7%)

Results
2.1s2508×body8192exit
1.0s7806×body256valid
110.0ms223×body1024valid
65.0ms226×body512valid
21.0ms143×body256infinite
1.0ms1×body2048valid
Bogosity

preprocess85.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 13 to 10 computations (23.1% saved)

simplify80.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01121
12121
23221
35121
46921
511321
618821
723821
832921
949021
1054421
1157121
1265021
1393121
14181521
15516721
16611021
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

eval1.0ms (0%)

Compiler

Compiled 18 to 10 computations (44.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.79%
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.79%
(-.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
✓0.01%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓0.76%
(log1p.f64 (exp.f64 x))
Compiler

Compiled 19 to 6 computations (68.4% saved)

series43.0ms (0.4%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
23.0ms
x
@inf
(log1p.f64 (exp.f64 x))
16.0ms
x
@-inf
(log1p.f64 (exp.f64 x))
2.0ms
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))

rewrite68.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

simplify83.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01572193
13962073
219552073
378442073
Stop Event
1×node limit
Counts
91 → 80
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))
(*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(*.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (*.f64 x x) (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(log1p.f64 (exp.f64 x))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(log1p.f64 (exp.f64 x))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(log1p.f64 (exp.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(log1p.f64 (exp.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 (exp.f64 x) 1))
(log1p.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(log1p.f64 (exp.f64 x))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (exp.f64 x))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

eval15.0ms (0.1%)

Compiler

Compiled 1130 to 411 computations (63.6% saved)

prune12.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New76480
Fresh000
Picked011
Done000
Total76581
Error
0.63%
Counts
81 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
▶17.79%
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
✓0.79%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶12.32%
(-.f64 (log.f64 2) (*.f64 x y))
▶17.79%
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶52.75%
(*.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)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.01%
(*.f64 (-.f64 1/2 y) x)
✓0.01%
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
Compiler

Compiled 24 to 17 computations (29.2% saved)

series5.0ms (0%)

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

rewrite80.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01132
123832
2304632
Stop Event
1×node limit
Counts
2 → 121
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
Outputs
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simplify101.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.02%
(-.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))

rewrite59.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify66.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.01%
(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
@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))
0.0ms
y
@inf
(fma.f64 (-.f64 1/2 y) x (log.f64 2))

rewrite62.0ms (0.5%)

Algorithm
1×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
1×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))))))))

simplify63.0ms (0.5%)

Algorithm
1×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
1×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))
(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 (log.f64 2) (*.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 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 (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))
(-.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (*.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 (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 (*.f64 (-.f64 1/2 y) x) (exp.f64 (log1p.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))
(*.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))
(*.f64 1 (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 (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 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (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 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 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 (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 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (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 (*.f64 x (-.f64 1/2 y)) (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 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 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 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (log.f64 2) (fma.f64 x (+.f64 y -1/2) (log.f64 2)) (pow.f64 (*.f64 x (-.f64 1/2 y)) 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 (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 (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 (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)))) (*.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 x (-.f64 1/2 y) (log.f64 2)))) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 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 (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 (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 (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)))) (*.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 x (-.f64 1/2 y) (log.f64 2)))) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (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 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 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 (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 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (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 (*.f64 x (-.f64 1/2 y)) (log.f64 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 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 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 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (log.f64 2) (fma.f64 x (+.f64 y -1/2) (log.f64 2)) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (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 (*.f64 x (-.f64 1/2 y)) (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 x (-.f64 1/2 y)) 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 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (log.f64 2) (fma.f64 x (+.f64 y -1/2) (log.f64 2)) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.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 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 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 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (log.f64 2) (fma.f64 x (+.f64 y -1/2) (log.f64 2)) (pow.f64 (*.f64 x (-.f64 1/2 y)) 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 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (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 (*.f64 x (-.f64 1/2 y)) (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 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 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 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (log.f64 2) (fma.f64 x (+.f64 y -1/2) (log.f64 2)) (pow.f64 (*.f64 x (-.f64 1/2 y)) 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 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (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 (*.f64 x (-.f64 1/2 y)) (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) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 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 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (log.f64 2) (fma.f64 x (+.f64 y -1/2) (log.f64 2)) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (fma.f64 x (+.f64 y -1/2) (log.f64 2)))
(/.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))

eval211.0ms (1.8%)

Compiler

Compiled 7492 to 5860 computations (21.8% saved)

prune53.0ms (0.4%)

Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New3078315
Fresh000
Picked011
Done044
Total30713320
Error
0.63%
Counts
320 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓17.79%
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
35.26%
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (/.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)) 3) (pow.f64 (log.f64 2) 3)))))
▶34.82%
(/.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))))))
✓0.79%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓12.32%
(-.f64 (log.f64 2) (*.f64 x y))
▶44.1%
(+.f64 (/.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))) (log.f64 2))
✓17.79%
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶46.36%
(+.f64 (*.f64 1/2 x) (log.f64 2))
60.7%
(+.f64 (exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
▶34.78%
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))
▶69.13%
(*.f64 (-.f64 1/2 y) x)
✓52.75%
(*.f64 x (neg.f64 y))
46.89%
(log.f64 2)
Compiler

Compiled 466 to 379 computations (18.7% saved)

localize80.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.79%
(sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
✓0.89%
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))
✓0.93%
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
✓1.63%
(cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
Compiler

Compiled 102 to 79 computations (22.5% saved)

series11.0ms (0.1%)

Counts
4 → 48
Calls

24 calls:

TimeVariablePointExpression
1.0ms
x
@0
(cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
1.0ms
y
@0
(cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
1.0ms
y
@-inf
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
1.0ms
x
@0
(sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
1.0ms
x
@inf
(sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))

rewrite131.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
980×unswap-sqr
778×swap-sqr
598×distribute-rgt-in
546×associate-*r/
532×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01788
134488
2360088
Stop Event
1×node limit
Counts
4 → 117
Calls
Call 1
Inputs
(cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))
(sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1/6) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1/6) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/4) (pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/4) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1/6)) (pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1/6) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1/6) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1/2) (pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/4) 1/3) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6)) (*.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/4) 1/3) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6) (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/4) 1/3)) (*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6) (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/4) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))))))

simplify101.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1580×distribute-rgt-in
1574×distribute-lft-in
746×associate-*r*
614×associate-*l*
378×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03368589942589
18827575
231797443
Stop Event
1×node limit
Counts
165 → 194
Calls
Call 1
Inputs
(pow.f64 (log.f64 2) 1/3)
(+.f64 (pow.f64 (log.f64 2) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 (-.f64 1/2 y) x))))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))) (+.f64 (pow.f64 (log.f64 2) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 (-.f64 1/2 y) x)))))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))) (+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 (-.f64 1/2 y) 3)))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 (-.f64 1/2 y) 3)))) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 (-.f64 1/2 y) x))))))
(pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/3)
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/9) (*.f64 y x))) (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/3))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/9) (*.f64 y x))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 7)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/3)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/9) (*.f64 y x))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/3) (*.f64 (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/3) (pow.f64 x 3))) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/3) (pow.f64 x 3))))) (pow.f64 y 3)))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 7)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/3))))
(pow.f64 (log.f64 2) 1/3)
(+.f64 (pow.f64 (log.f64 2) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 (-.f64 1/2 y) x))))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))) (+.f64 (pow.f64 (log.f64 2) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 (-.f64 1/2 y) x)))))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))) (+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 (-.f64 1/2 y) 3)))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 (-.f64 1/2 y) 3)))) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 (-.f64 1/2 y) x))))))
(pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/3)
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(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6))
(*.f64 1 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/4) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6)))
(*.f64 (sqrt.f64 (*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1/6))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1/6)) (pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1/6))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1/6) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1/6) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1/2) (pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1/6))
(*.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/4) 1/3) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6)) (*.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/4) 1/3) (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6)))
(*.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6) (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/4) 1/3)) (*.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6) (pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/4) 1/3)))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/4) 2)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
Outputs
(pow.f64 (log.f64 2) 1/3)
(cbrt.f64 (log.f64 2))
(+.f64 (pow.f64 (log.f64 2) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 (-.f64 1/2 y) x))))
(+.f64 (cbrt.f64 (log.f64 2)) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (*.f64 (-.f64 1/2 y) x)))
(fma.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (*.f64 (-.f64 1/2 y) x))) (cbrt.f64 (log.f64 2)))
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (*.f64 (-.f64 1/2 y) x)) (cbrt.f64 (log.f64 2)))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))) (+.f64 (pow.f64 (log.f64 2) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 (-.f64 1/2 y) x)))))
(fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 x x))) (+.f64 (cbrt.f64 (log.f64 2)) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (*.f64 (-.f64 1/2 y) x))))
(fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (*.f64 x (*.f64 x (pow.f64 (-.f64 1/2 y) 2)))) (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (*.f64 (-.f64 1/2 y) x))) (cbrt.f64 (log.f64 2))))
(fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (*.f64 x (*.f64 x (pow.f64 (-.f64 1/2 y) 2)))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (*.f64 (-.f64 1/2 y) x)) (cbrt.f64 (log.f64 2))))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))) (+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 (-.f64 1/2 y) 3)))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 (-.f64 1/2 y) 3)))) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 (-.f64 1/2 y) x))))))
(fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 x x))) (+.f64 (cbrt.f64 (log.f64 2)) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 (-.f64 1/2 y) 3))) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 (-.f64 1/2 y) 3)) 1/27)) (pow.f64 x 3))) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (*.f64 (-.f64 1/2 y) x)))))
(+.f64 (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (*.f64 x (*.f64 x (pow.f64 (-.f64 1/2 y) 2)))) (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (*.f64 (-.f64 1/2 y) x))) (cbrt.f64 (log.f64 2)))) (*.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 (-.f64 1/2 y) 3)) -5/27) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 x 3)) -1/3)))
(+.f64 (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (*.f64 x (*.f64 x (pow.f64 (-.f64 1/2 y) 2)))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (*.f64 (-.f64 1/2 y) x)) (cbrt.f64 (log.f64 2)))) (*.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 (-.f64 1/2 y) 3)) -5/27) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (pow.f64 x 3)) -1/3)))
(pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/3)
(cbrt.f64 (fma.f64 1/2 x (log.f64 2)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/9) (*.f64 y x))) (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/3))
(fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18)) (*.f64 y x)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18))) (*.f64 y x) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 -1/3 (*.f64 y (*.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18)))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/9) (*.f64 y x))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 7)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/3)))
(fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18)) (*.f64 y x)) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18)) (*.f64 (*.f64 x x) (*.f64 y y))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(fma.f64 -1/3 (*.f64 y (*.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18)))) (fma.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18) (*.f64 (*.f64 (*.f64 y y) x) x))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(fma.f64 -1/3 (*.f64 y (*.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18)))) (fma.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18) (*.f64 (*.f64 x x) (*.f64 y y)))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/9) (*.f64 y x))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/3) (*.f64 (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/3) (pow.f64 x 3))) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 2)) 1/3) (pow.f64 x 3))))) (pow.f64 y 3)))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 7)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (pow.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1/3))))
(fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18)) (*.f64 y x)) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) (*.f64 (fma.f64 -1/27 (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))) (*.f64 2/9 (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))))) (pow.f64 y 3))) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18)) (*.f64 (*.f64 x x) (*.f64 y y))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))))
(fma.f64 -1/3 (*.f64 y (*.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18)))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) (*.f64 (*.f64 (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))) 5/27) (pow.f64 y 3))) (fma.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18) (*.f64 (*.f64 (*.f64 y y) x) x))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))))
(fma.f64 -1/3 (*.f64 y (*.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) 1/18)))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) (*.f64 (*.f64 (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))) 5/27) (pow.f64 y 3))) (fma.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 7)) 1/18) (*.f64 (*.f64 x x) (*.f64 y y)))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))))
(pow.f64 (log.f64 2) 1/3)
(cbrt.f64 (log.f64 2))
(+.f64 (pow.f64 (log.f64 2) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 (-.f64 1/2 y) x))))
(+.f64 (cbrt.f64 (log.f64 2)) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (*.f64 (-.f64 1/2 y) x)))
(fma.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (*.f64 (-.f64 1/2 y) x))) (cbrt.f64 (log.f64 2)))
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)) (*.f64 (-.f64 1/2 y) x)) (cbrt.f64 (log.f64 2)))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))) (+.f64 (pow.f64 (log.f64 2) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (*.f64 (-.f64 1/2 y) x)))))
(fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18)) (*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 x x))) (+.f64 (cbrt.f64 (log.f64 2)) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (*.f64 (-.f64 1/2 y) x))))
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(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/6)) (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/6) 5)))
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(*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/6)) (cbrt.f64 (*.f64 (cbrt.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 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/6)) (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/6) 5)))
(*.f64 (*.f64 (pow.f64 1 1/3) (pow.f64 1 1/3)) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
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(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/4)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/4)) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
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(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/4)) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6) (cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/4)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/4)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/4)) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/4)) (sqrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/4)) (sqrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1/6))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1/6) (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/4))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))
(cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2))))
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(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/6)) (cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/6))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 2))))
(cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
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(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/6)) (cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/6)) (cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1/6))))
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(cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/3)
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(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1)
(sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/6) 3)
(sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1/4) 2)
(sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3/2))
(fabs.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))
(sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1/2))
(sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1))
(sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.01%
(*.f64 (-.f64 1/2 y) x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.02%
(+.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))

rewrite103.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

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

simplify54.0ms (0.4%)

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

Useful iterations: 2 (0.0ms)

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

localize72.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.58%
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/4 (*.f64 y y))))
✓1.16%
(pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)
✓4.16%
(/.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)))
✓24.77%
(cbrt.f64 (-.f64 1/4 (*.f64 y y)))
Compiler

Compiled 109 to 75 computations (31.2% saved)

series51.0ms (0.4%)

Counts
4 → 48
Calls

18 calls:

TimeVariablePointExpression
36.0ms
x
@0
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/4 (*.f64 y y))))
4.0ms
x
@0
(/.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)))
2.0ms
y
@0
(pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)
1.0ms
y
@inf
(/.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)))
1.0ms
y
@-inf
(/.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)))

rewrite105.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1244×associate-/r/
852×distribute-lft-in
774×associate-/l/
400×add-sqr-sqrt
388×*-un-lft-identity
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019140
1406120
2534194
Stop Event
1×node limit
Counts
4 → 123
Calls
Call 1
Inputs
(cbrt.f64 (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))) (cbrt.f64 (+.f64 1/2 y)))
(pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/4 (*.f64 y y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (-.f64 1/4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 1/6) (pow.f64 (-.f64 1/4 (*.f64 y y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 1/4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) 1/3) (pow.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1/64 (pow.f64 y 6))) (cbrt.f64 (+.f64 1/16 (+.f64 (pow.f64 y 4) (*.f64 (*.f64 1/4 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1/16 (pow.f64 y 4))) (cbrt.f64 (+.f64 1/4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1/4 (*.f64 y y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.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))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (/.f64 1 (cbrt.f64 (+.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y)))) (/.f64 1 (cbrt.f64 (+.f64 y 1/2)))))))) (#(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 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (*.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) (/.f64 1 (cbrt.f64 (+.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y))))) (/.f64 1 (cbrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (/.f64 1 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y)))) (sqrt.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (cbrt.f64 (-.f64 1/2 y)) (sqrt.f64 x)) (pow.f64 (-.f64 1/4 (*.f64 y y)) 1/6)) (*.f64 (*.f64 (*.f64 (cbrt.f64 (-.f64 1/2 y)) (sqrt.f64 x)) (pow.f64 (-.f64 1/4 (*.f64 y y)) 1/6)) (/.f64 1 (cbrt.f64 (+.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y)))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y)))) 2) (cbrt.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) (pow.f64 (+.f64 y 1/2) 1/6)) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (pow.f64 (+.f64 y 1/2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (+.f64 y 1/2))) (cbrt.f64 (-.f64 1/4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (cbrt.f64 (+.f64 y 1/2)))) (*.f64 x (neg.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 1) (/.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (pow.f64 (+.f64 y 1/2) 1/6)) (/.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) (pow.f64 (+.f64 y 1/2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 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simplify146.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1688×distribute-lft-in
814×associate-*r*
692×associate-*l*
590×associate-/l*
554×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04747953
112937431
258577431
Stop Event
1×node limit
Counts
171 → 231
Calls
Call 1
Inputs
(cbrt.f64 1/4)
(+.f64 (cbrt.f64 1/4) (*.f64 -1/3 (/.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 1/4) 2))))
(+.f64 (*.f64 -1/9 (/.f64 (pow.f64 y 4) (pow.f64 (cbrt.f64 1/4) 5))) (+.f64 (cbrt.f64 1/4) (*.f64 -1/3 (/.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 1/4) 2)))))
(+.f64 (*.f64 -1/9 (/.f64 (pow.f64 y 4) (pow.f64 (cbrt.f64 1/4) 5))) (+.f64 (cbrt.f64 1/4) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 1/4) 2))) (*.f64 -5/81 (/.f64 (pow.f64 y 6) (pow.f64 (cbrt.f64 1/4) 8))))))
(*.f64 (pow.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (pow.f64 y 2)))) (+.f64 1/2 y)) 1/3) x)
(*.f64 (pow.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (pow.f64 y 2)))) (+.f64 1/2 y)) 1/3) x)
(*.f64 (pow.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (pow.f64 y 2)))) (+.f64 1/2 y)) 1/3) x)
(*.f64 (pow.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (pow.f64 y 2)))) (+.f64 1/2 y)) 1/3) x)
(*.f64 (pow.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (pow.f64 y 2)))) (+.f64 1/2 y)) 1/3) x)
(*.f64 (pow.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (pow.f64 y 2)))) (+.f64 1/2 y)) 1/3) x)
(*.f64 (pow.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (pow.f64 y 2)))) (+.f64 1/2 y)) 1/3) x)
(*.f64 (pow.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (pow.f64 y 2)))) (+.f64 1/2 y)) 1/3) x)
(*.f64 (pow.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (pow.f64 y 2)))) (+.f64 1/2 y)) 1/3) x)
(*.f64 (pow.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (pow.f64 y 2)))) (+.f64 1/2 y)) 1/3) x)
(*.f64 (pow.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (pow.f64 y 2)))) (+.f64 1/2 y)) 1/3) x)
(*.f64 (pow.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (pow.f64 y 2)))) (+.f64 1/2 y)) 1/3) x)
(*.f64 1/2 x)
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(*.f64 (/.f64 1 (/.f64 (cbrt.f64 (+.f64 y 1/2)) (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))) (cbrt.f64 (-.f64 1/4 (*.f64 y y))))
(*.f64 (/.f64 1 (/.f64 (cbrt.f64 (+.f64 y 1/2)) (*.f64 (*.f64 (cbrt.f64 (-.f64 1/2 y)) (sqrt.f64 x)) (pow.f64 (-.f64 1/4 (*.f64 y y)) 1/6)))) (*.f64 (*.f64 (cbrt.f64 (-.f64 1/2 y)) (sqrt.f64 x)) (pow.f64 (-.f64 1/4 (*.f64 y y)) 1/6)))
(*.f64 (/.f64 1 (/.f64 (cbrt.f64 (+.f64 y 1/2)) (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y)))))) 2))) (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y)))))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 1/2 y)) (sqrt.f64 x)) (/.f64 1 (cbrt.f64 (-.f64 1/2 y)))) (*.f64 (cbrt.f64 (-.f64 1/2 y)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))) 2) (/.f64 1 (cbrt.f64 (-.f64 1/2 y)))) (cbrt.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y)))))) 2) (cbrt.f64 (+.f64 y 1/2))) (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y)))))))
(*.f64 (/.f64 (/.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y))))) 1) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))) (cbrt.f64 (-.f64 1/2 y)))
(*.f64 (/.f64 (/.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y))))) 1) (cbrt.f64 (+.f64 1/8 (pow.f64 y 3)))) (cbrt.f64 (+.f64 1/4 (*.f64 y (-.f64 y 1/2)))))
(pow.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))) 1)
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y)))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y)))) 3)
(pow.f64 (pow.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))) 3) 1/3)
(pow.f64 (*.f64 (/.f64 1 x) (/.f64 1 (-.f64 1/2 y))) -1)
(neg.f64 (/.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y))))) (neg.f64 (cbrt.f64 (+.f64 y 1/2)))))
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))) 2))
(log.f64 (exp.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))))))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y))))) 3) (+.f64 y 1/2)))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y)))))
(exp.f64 (log.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y)))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))) 1)
(*.f64 (cbrt.f64 (-.f64 1/2 y)) (cbrt.f64 (-.f64 1/2 y)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))
(*.f64 (pow.f64 (-.f64 1/2 y) 1/6) (*.f64 (pow.f64 (-.f64 1/2 y) 1/6) (cbrt.f64 (-.f64 1/2 y))))
(*.f64 (sqrt.f64 (-.f64 1/2 y)) (pow.f64 (-.f64 1/2 y) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) (cbrt.f64 (-.f64 1/2 y))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) 2))
(*.f64 (*.f64 (cbrt.f64 (-.f64 1/2 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))))
(cbrt.f64 (pow.f64 (-.f64 1/2 y) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 1/2 y)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 1/2 y)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y))))))) 1)
(pow.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y))))) 1)
(pow.f64 (*.f64 (*.f64 (cbrt.f64 (-.f64 1/2 y)) (sqrt.f64 x)) (pow.f64 (-.f64 1/4 (*.f64 y y)) 1/6)) 2)
(pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y)))))) 3)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y))))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y))))) 2))
(log.f64 (pow.f64 (exp.f64 x) (cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y))))))))
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y))))) 3))
(cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (pow.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) 3) (-.f64 1/4 (*.f64 y y))))
(expm1.f64 (log1p.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y)))))))
(exp.f64 (log.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y)))))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y)))))))
Outputs
(cbrt.f64 1/4)
(+.f64 (cbrt.f64 1/4) (*.f64 -1/3 (/.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 1/4) 2))))
(+.f64 (cbrt.f64 1/4) (/.f64 (*.f64 -1/3 (*.f64 y y)) (pow.f64 (cbrt.f64 1/4) 2)))
(fma.f64 -1/3 (/.f64 y (/.f64 (pow.f64 (cbrt.f64 1/4) 2) y)) (cbrt.f64 1/4))
(+.f64 (*.f64 -1/9 (/.f64 (pow.f64 y 4) (pow.f64 (cbrt.f64 1/4) 5))) (+.f64 (cbrt.f64 1/4) (*.f64 -1/3 (/.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 1/4) 2)))))
(fma.f64 -1/9 (/.f64 (pow.f64 y 4) (pow.f64 (cbrt.f64 1/4) 5)) (+.f64 (cbrt.f64 1/4) (/.f64 (*.f64 -1/3 (*.f64 y y)) (pow.f64 (cbrt.f64 1/4) 2))))
(fma.f64 -1/9 (/.f64 (pow.f64 y 4) (pow.f64 (cbrt.f64 1/4) 5)) (fma.f64 -1/3 (/.f64 y (/.f64 (pow.f64 (cbrt.f64 1/4) 2) y)) (cbrt.f64 1/4)))
(+.f64 (*.f64 -1/9 (/.f64 (pow.f64 y 4) (pow.f64 (cbrt.f64 1/4) 5))) (+.f64 (cbrt.f64 1/4) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 1/4) 2))) (*.f64 -5/81 (/.f64 (pow.f64 y 6) (pow.f64 (cbrt.f64 1/4) 8))))))
(fma.f64 -1/9 (/.f64 (pow.f64 y 4) (pow.f64 (cbrt.f64 1/4) 5)) (+.f64 (cbrt.f64 1/4) (fma.f64 -1/3 (/.f64 (*.f64 y y) (pow.f64 (cbrt.f64 1/4) 2)) (*.f64 -5/81 (/.f64 (pow.f64 y 6) (pow.f64 (cbrt.f64 1/4) 8))))))
(+.f64 (fma.f64 -1/9 (/.f64 (pow.f64 y 4) (pow.f64 (cbrt.f64 1/4) 5)) (fma.f64 -1/3 (/.f64 y (/.f64 (pow.f64 (cbrt.f64 1/4) 2) y)) (cbrt.f64 1/4))) (/.f64 -5/81 (/.f64 (pow.f64 (cbrt.f64 1/4) 8) (pow.f64 y 6))))
(*.f64 (pow.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (pow.f64 y 2)))) (+.f64 1/2 y)) 1/3) x)
(*.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y))) (+.f64 y 1/2))) x)
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (/.f64 (+.f64 y 1/2) (-.f64 1/4 (*.f64 y y))))) x)
(*.f64 (pow.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (pow.f64 y 2)))) (+.f64 1/2 y)) 1/3) x)
(*.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y))) (+.f64 y 1/2))) x)
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (/.f64 (+.f64 y 1/2) (-.f64 1/4 (*.f64 y y))))) x)
(*.f64 (pow.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (pow.f64 y 2)))) (+.f64 1/2 y)) 1/3) x)
(*.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y))) (+.f64 y 1/2))) x)
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (/.f64 (+.f64 y 1/2) (-.f64 1/4 (*.f64 y y))))) x)
(*.f64 (pow.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (pow.f64 y 2)))) (+.f64 1/2 y)) 1/3) x)
(*.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y))) (+.f64 y 1/2))) x)
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (/.f64 (+.f64 y 1/2) (-.f64 1/4 (*.f64 y y))))) x)
(*.f64 (pow.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (pow.f64 y 2)))) (+.f64 1/2 y)) 1/3) x)
(*.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y))) (+.f64 y 1/2))) x)
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (/.f64 (+.f64 y 1/2) (-.f64 1/4 (*.f64 y y))))) x)
(*.f64 (pow.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (pow.f64 y 2)))) (+.f64 1/2 y)) 1/3) x)
(*.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y))) (+.f64 y 1/2))) x)
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (/.f64 (+.f64 y 1/2) (-.f64 1/4 (*.f64 y y))))) x)
(*.f64 (pow.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (pow.f64 y 2)))) (+.f64 1/2 y)) 1/3) x)
(*.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y))) (+.f64 y 1/2))) x)
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (/.f64 (+.f64 y 1/2) (-.f64 1/4 (*.f64 y y))))) x)
(*.f64 (pow.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (pow.f64 y 2)))) (+.f64 1/2 y)) 1/3) x)
(*.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y))) (+.f64 y 1/2))) x)
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (/.f64 (+.f64 y 1/2) (-.f64 1/4 (*.f64 y y))))) x)
(*.f64 (pow.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (pow.f64 y 2)))) (+.f64 1/2 y)) 1/3) x)
(*.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y))) (+.f64 y 1/2))) x)
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (/.f64 (+.f64 y 1/2) (-.f64 1/4 (*.f64 y y))))) x)
(*.f64 (pow.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (pow.f64 y 2)))) (+.f64 1/2 y)) 1/3) x)
(*.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y))) (+.f64 y 1/2))) x)
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (/.f64 (+.f64 y 1/2) (-.f64 1/4 (*.f64 y y))))) x)
(*.f64 (pow.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (pow.f64 y 2)))) (+.f64 1/2 y)) 1/3) x)
(*.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y))) (+.f64 y 1/2))) x)
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (/.f64 (+.f64 y 1/2) (-.f64 1/4 (*.f64 y y))))) x)
(*.f64 (pow.f64 (/.f64 (*.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (pow.f64 y 2)))) (+.f64 1/2 y)) 1/3) x)
(*.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y))) (+.f64 y 1/2))) x)
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (/.f64 (+.f64 y 1/2) (-.f64 1/4 (*.f64 y y))))) x)
(*.f64 1/2 x)
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 y x) (cbrt.f64 1/4))) (*.f64 1/2 x))
(fma.f64 -1/4 (/.f64 y (/.f64 (cbrt.f64 1/4) x)) (*.f64 1/2 x))
(fma.f64 1/2 x (/.f64 (*.f64 (*.f64 -1/4 x) y) (cbrt.f64 1/4)))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 y x) (cbrt.f64 1/4))) (+.f64 (*.f64 1/2 x) (*.f64 4/3 (*.f64 (pow.f64 y 2) (*.f64 (-.f64 3/2 (*.f64 3/32 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))) x)))))
(fma.f64 -1/4 (/.f64 y (/.f64 (cbrt.f64 1/4) x)) (fma.f64 1/2 x (*.f64 4/3 (*.f64 (*.f64 (*.f64 y y) (-.f64 3/2 (/.f64 3/32 (pow.f64 (cbrt.f64 1/4) 2)))) x))))
(fma.f64 -1/4 (*.f64 (/.f64 y (cbrt.f64 1/4)) x) (fma.f64 4/3 (*.f64 x (*.f64 (*.f64 y y) (+.f64 3/2 (/.f64 -3/32 (pow.f64 (cbrt.f64 1/4) 2))))) (*.f64 1/2 x)))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 y x) (cbrt.f64 1/4))) (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 y 3) (*.f64 x (+.f64 15/16 (*.f64 -1 (/.f64 (-.f64 3/2 (*.f64 3/32 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))) (cbrt.f64 1/4))))))) (+.f64 (*.f64 1/2 x) (*.f64 4/3 (*.f64 (pow.f64 y 2) (*.f64 (-.f64 3/2 (*.f64 3/32 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))) x))))))
(fma.f64 -1/4 (/.f64 y (/.f64 (cbrt.f64 1/4) x)) (fma.f64 -4/3 (*.f64 (*.f64 (pow.f64 y 3) x) (+.f64 15/16 (neg.f64 (/.f64 (-.f64 3/2 (/.f64 3/32 (pow.f64 (cbrt.f64 1/4) 2))) (cbrt.f64 1/4))))) (fma.f64 1/2 x (*.f64 4/3 (*.f64 (*.f64 (*.f64 y y) (-.f64 3/2 (/.f64 3/32 (pow.f64 (cbrt.f64 1/4) 2)))) x)))))
(fma.f64 -1/4 (*.f64 (/.f64 y (cbrt.f64 1/4)) x) (fma.f64 -4/3 (*.f64 (-.f64 15/16 (/.f64 (+.f64 3/2 (/.f64 -3/32 (pow.f64 (cbrt.f64 1/4) 2))) (cbrt.f64 1/4))) (*.f64 x (pow.f64 y 3))) (fma.f64 4/3 (*.f64 x (*.f64 (*.f64 y y) (+.f64 3/2 (/.f64 -3/32 (pow.f64 (cbrt.f64 1/4) 2))))) (*.f64 1/2 x))))
(*.f64 y (*.f64 (cbrt.f64 -1) x))
(*.f64 (*.f64 y (cbrt.f64 -1)) x)
(*.f64 (*.f64 y x) (cbrt.f64 -1))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x)) (*.f64 y (*.f64 (cbrt.f64 -1) x)))
(fma.f64 1/2 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 (*.f64 y (cbrt.f64 -1)) x))
(*.f64 x (+.f64 (*.f64 y (cbrt.f64 -1)) (*.f64 1/2 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))
(*.f64 x (+.f64 (*.f64 1/2 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 y (cbrt.f64 -1))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (+.f64 3/4 (*.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) x) (*.f64 y (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 y (*.f64 (cbrt.f64 -1) x))))
(fma.f64 1/2 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 -1/3 (*.f64 (/.f64 (+.f64 3/4 (*.f64 3/4 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) y) (/.f64 x (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (*.f64 y (cbrt.f64 -1)) x)))
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(*.f64 x (cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y)))))
(log1p.f64 (expm1.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y)))))))
(*.f64 x (cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y)))))

localize158.0ms (1.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.56%
(pow.f64 (log.f64 2) 3)
✓14.4%
(/.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))))))
✓17.03%
(/.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)))))))
✓20%
(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)))))
Compiler

Compiled 275 to 220 computations (20% saved)

series161.0ms (1.3%)

Counts
4 → 40
Calls

18 calls:

TimeVariablePointExpression
41.0ms
y
@-inf
(/.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)))))))
33.0ms
y
@inf
(/.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)))))))
24.0ms
x
@inf
(/.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)))))))
21.0ms
x
@0
(/.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))))))
16.0ms
x
@-inf
(/.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)))))))

rewrite352.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
524×add-sqr-sqrt
508×*-un-lft-identity
500×pow1
492×add-cube-cbrt
488×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022352
1517190
27609190
Stop Event
1×node limit
Counts
4 → 139
Calls
Call 1
Inputs
(cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.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)))))))
(/.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 (log.f64 2) 3)
Outputs
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(fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (*.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))) -2))))) (#(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)) (pow.f64 (cbrt.f64 (fma.f64 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simplify180.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1726×associate-*r*
1254×associate-*l*
1016×*-commutative
884×distribute-lft-in
798×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078725989
1247625769
Stop Event
1×node limit
Counts
179 → 305
Calls
Call 1
Inputs
(pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 1/3)
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/9) (*.f64 y (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (log.f64 2) x))))) (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 1/3))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/9) (*.f64 y (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (log.f64 2) x))))) (+.f64 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/3) (*.f64 (pow.f64 y 2) (-.f64 (pow.f64 x 2) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2)))) 1/9) (pow.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (log.f64 2) x)) 2)))))))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/9) (*.f64 y (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (log.f64 2) x))))) (+.f64 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/3) (*.f64 (pow.f64 y 3) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/3) (pow.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (log.f64 2) x)) 3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 5)) 1/9) (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (log.f64 2) x)) (-.f64 (pow.f64 x 2) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2)))) 1/9) (pow.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (log.f64 2) x)) 2))))))))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/3) (*.f64 (pow.f64 y 2) (-.f64 (pow.f64 x 2) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2)))) 1/9) (pow.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (log.f64 2) x)) 2))))))))))
(pow.f64 (pow.f64 (log.f64 2) 2) 1/3)
(+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (*.f64 (-.f64 y 1/2) x))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/3) (*.f64 (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 16)) 1/9) (pow.f64 (-.f64 y 1/2) 2)))) (pow.f64 x 2)))) (+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (*.f64 (-.f64 y 1/2) x)))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/3) (*.f64 (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 16)) 1/9) (pow.f64 (-.f64 y 1/2) 2)))) (pow.f64 x 2)))) (+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/3) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/9) (*.f64 (-.f64 y 1/2) (-.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 16)) 1/9) (pow.f64 (-.f64 y 1/2) 2))))))) (*.f64 1/27 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 5)) 1/3) (pow.f64 (-.f64 y 1/2) 3)))) (pow.f64 x 3)))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (*.f64 (-.f64 y 1/2) x))))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/3) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/3) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3)))) (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 23)) 1/9) (*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (log.f64 2) x))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/3) (+.f64 (*.f64 -1/4 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3))))) y))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/3) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 23)) 1/9) (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3))) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (log.f64 2) x))))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 4) 1) 1/3) (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 3))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 52)) 1/9) (pow.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (log.f64 2) x)) 2))) (+.f64 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (log.f64 2) x)) 2) (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 4)) (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (log.f64 2) x)) 2) (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 4)))))) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))))))))) (+.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/3) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3)))) (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 23)) 1/9) (*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (log.f64 2) x))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/3) (+.f64 (*.f64 -1/4 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3))))) y)))
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/3) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (pow.f64 x 3))) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 23)) 1/9) (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 3))) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (log.f64 2) x))))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 4) 1) 1/3) (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 3))) (+.f64 (*.f64 4/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 52)) 1/9) (pow.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (log.f64 2) x)) 2))) 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(pow.f64 (pow.f64 (log.f64 2) 5) 1/3)
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(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) 2) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))) 4))) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))) -2))) (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) 2) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))) 4))) (pow.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) 1/6)) (/.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))) -2))) (pow.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) 1/6)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) 2) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))) 2)) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(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)
(pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(pow.f64 (/.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) -1)
(neg.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))) -2)) (neg.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))
(log.f64 (exp.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 (-.f64 1/2 y)) x)))
(log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x) 2))
(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))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))) -2)) 3) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))
(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 (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 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 2) 3))) 1)
(*.f64 (log.f64 2) (pow.f64 (log.f64 2) 2))
(*.f64 (pow.f64 (log.f64 2) 3) 1)
(*.f64 1 (pow.f64 (log.f64 2) 3))
(*.f64 (pow.f64 (log.f64 2) 3/2) (pow.f64 (log.f64 2) 3/2))
(*.f64 (sqrt.f64 (log.f64 2)) (*.f64 (sqrt.f64 (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (*.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(*.f64 (pow.f64 (log.f64 2) 2) (log.f64 2))
(*.f64 (*.f64 (pow.f64 (log.f64 2) 2) 1) (log.f64 2))
(*.f64 (*.f64 (pow.f64 (log.f64 2) 2) (sqrt.f64 (log.f64 2))) (sqrt.f64 (log.f64 2)))
(*.f64 (*.f64 (pow.f64 (log.f64 2) 2) (cbrt.f64 (pow.f64 (log.f64 2) 2))) (cbrt.f64 (log.f64 2)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 2)) 3) (pow.f64 (sqrt.f64 (log.f64 2)) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) 3) (log.f64 2))
(sqrt.f64 (pow.f64 (log.f64 2) 6))
(log.f64 (exp.f64 (pow.f64 (log.f64 2) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 2) 3))))
(cbrt.f64 (pow.f64 (log.f64 2) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 2) 3)))
(exp.f64 (*.f64 3 (log.f64 (log.f64 2))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 2) 3)))
Outputs
(pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 1/3)
(cbrt.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/9) (*.f64 y (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (log.f64 2) x))))) (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 1/3))
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)))) 2)) 1/18)) (*.f64 y (fma.f64 -1 (*.f64 x x) (*.f64 x (log.f64 2))))) (cbrt.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2))))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/9) (*.f64 y (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (log.f64 2) x))))) (+.f64 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/3) (*.f64 (pow.f64 y 2) (-.f64 (pow.f64 x 2) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2)))) 1/9) (pow.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (log.f64 2) x)) 2)))))))))
(+.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)))) 2)) 1/18)) (*.f64 y (fma.f64 -1 (*.f64 x x) (*.f64 x (log.f64 2))))) (cbrt.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)))))) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)))) 2))) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2))))) 1/18) (pow.f64 (/.f64 1 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2))))) 1/18)) (pow.f64 (fma.f64 -1 (*.f64 x x) (*.f64 x (log.f64 2))) 2))))))))
(+.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)))) 2)) 1/18)) (*.f64 y (fma.f64 -1 (*.f64 x x) (*.f64 x (log.f64 2))))) (cbrt.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)))))) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)))) 2))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2))))) 1/18) (pow.f64 (/.f64 1 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2))))) 1/18)) (pow.f64 (fma.f64 -1 (*.f64 x x) (*.f64 x (log.f64 2))) 2)) -1/3))))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/9) (*.f64 y (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (log.f64 2) x))))) (+.f64 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/3) (*.f64 (pow.f64 y 3) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/3) (pow.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (log.f64 2) x)) 3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 5)) 1/9) (*.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (log.f64 2) x)) (-.f64 (pow.f64 x 2) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2)))) 1/9) (pow.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (log.f64 2) x)) 2))))))))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/3) (*.f64 (pow.f64 y 2) (-.f64 (pow.f64 x 2) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2)))) 1/9) (pow.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (log.f64 2) x)) 2))))))))))
(+.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)))) 2)) 1/18)) (*.f64 y (fma.f64 -1 (*.f64 x x) (*.f64 x (log.f64 2))))) (cbrt.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)))))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)))) 2))) (*.f64 (pow.f64 y 3) (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)))) 2))) (pow.f64 (fma.f64 -1 (*.f64 x x) (*.f64 x (log.f64 2))) 3)) (*.f64 2/3 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)))) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)))) 5)) 1/18)) (fma.f64 -1 (*.f64 x x) (*.f64 x (log.f64 2)))) (-.f64 (*.f64 x x) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2))))) 1/18) (pow.f64 (/.f64 1 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2))))) 1/18)) (pow.f64 (fma.f64 -1 (*.f64 x x) (*.f64 x (log.f64 2))) 2))))))))) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)))) 2))) (*.f64 (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2))))) 1/18) (pow.f64 (/.f64 1 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2))))) 1/18)) (pow.f64 (fma.f64 -1 (*.f64 x x) (*.f64 x (log.f64 2))) 2)))))))))
(+.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)))) 2)) 1/18)) (*.f64 y (fma.f64 -1 (*.f64 x x) (*.f64 x (log.f64 2))))) (cbrt.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)))))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)))) 2))) (*.f64 (pow.f64 y 3) (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)))) 2))) (pow.f64 (fma.f64 -1 (*.f64 x x) (*.f64 x (log.f64 2))) 3)) (*.f64 2/3 (*.f64 (fma.f64 -1 (*.f64 x x) (*.f64 x (log.f64 2))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2))))) 1/18) (pow.f64 (/.f64 1 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2))))) 1/18)) (pow.f64 (fma.f64 -1 (*.f64 x x) (*.f64 x (log.f64 2))) 2)) -1/3)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)))) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)))) 5)) 1/18)))))))) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2)))) 2))) (*.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2))))) 1/18) (pow.f64 (/.f64 1 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x 1/2))))) 1/18)) (pow.f64 (fma.f64 -1 (*.f64 x x) (*.f64 x (log.f64 2))) 2)) -1/3)))))))
(pow.f64 (pow.f64 (log.f64 2) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 2) 2))
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(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) 2) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))) 4))) (pow.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) 1/6)) (/.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))) -2))) (pow.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) 1/6)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) -2))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) 2) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) 4)))) (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) 2) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) 4))) (/.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) -2))) (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) 2) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))) 2)) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) 2) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))) 2)))
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)
(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)
(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)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (/.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) -1)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(neg.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))) -2)) (neg.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) -2))) (neg.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))) (/.f64 (neg.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) -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 (exp.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 (-.f64 1/2 y)) x)))
(log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 (-.f64 1/2 y)) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))) -2)) 3) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) -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))))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 1 (*.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 (*.f64 x (neg.f64 y))) (neg.f64 (log.f64 2)))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (-.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 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 2) 3))) 1)
(pow.f64 (log.f64 2) 3)
(*.f64 (log.f64 2) (pow.f64 (log.f64 2) 2))
(pow.f64 (log.f64 2) 3)
(*.f64 (pow.f64 (log.f64 2) 3) 1)
(pow.f64 (log.f64 2) 3)
(*.f64 1 (pow.f64 (log.f64 2) 3))
(pow.f64 (log.f64 2) 3)
(*.f64 (pow.f64 (log.f64 2) 3/2) (pow.f64 (log.f64 2) 3/2))
(pow.f64 (log.f64 2) 3)
(*.f64 (sqrt.f64 (log.f64 2)) (*.f64 (sqrt.f64 (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(*.f64 (pow.f64 (log.f64 2) 2) (*.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (*.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (*.f64 (pow.f64 (log.f64 2) 2) (cbrt.f64 (log.f64 2))))
(*.f64 (pow.f64 (log.f64 2) 2) (log.f64 2))
(pow.f64 (log.f64 2) 3)
(*.f64 (*.f64 (pow.f64 (log.f64 2) 2) 1) (log.f64 2))
(pow.f64 (log.f64 2) 3)
(*.f64 (*.f64 (pow.f64 (log.f64 2) 2) (sqrt.f64 (log.f64 2))) (sqrt.f64 (log.f64 2)))
(*.f64 (pow.f64 (log.f64 2) 2) (*.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2))))
(*.f64 (*.f64 (pow.f64 (log.f64 2) 2) (cbrt.f64 (pow.f64 (log.f64 2) 2))) (cbrt.f64 (log.f64 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (*.f64 (pow.f64 (log.f64 2) 2) (cbrt.f64 (log.f64 2))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 2)) 3) (pow.f64 (sqrt.f64 (log.f64 2)) 3))
(pow.f64 (sqrt.f64 (log.f64 2)) 6)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) 3) (log.f64 2))
(pow.f64 (log.f64 2) 3)
(sqrt.f64 (pow.f64 (log.f64 2) 6))
(log.f64 (exp.f64 (pow.f64 (log.f64 2) 3)))
(pow.f64 (log.f64 2) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 2) 3))))
(pow.f64 (log.f64 2) 3)
(cbrt.f64 (pow.f64 (log.f64 2) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 2) 3)))
(pow.f64 (log.f64 2) 3)
(exp.f64 (*.f64 3 (log.f64 (log.f64 2))))
(pow.f64 (exp.f64 3) (log.f64 (log.f64 2)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 2))) 1))
(pow.f64 (exp.f64 3) (log.f64 (log.f64 2)))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 2) 3)))
(pow.f64 (log.f64 2) 3)

eval2.0s (16.7%)

Compiler

Compiled 59848 to 48448 computations (19% saved)

prune405.0ms (3.4%)

Pruning

20 alts after pruning (13 fresh and 7 done)

PrunedKeptTotal
New1000111011
Fresh123
Picked101
Done279
Total1004201024
Error
0.63%
Counts
1024 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
✓17.79%
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
▶88.1%
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
▶47.77%
(/.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/3) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
91.2%
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
69.27%
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
19.3%
(-.f64 (+.f64 x (*.f64 x (-.f64 1/2 y))) (neg.f64 (/.f64 (fma.f64 -1 (*.f64 x x) (*.f64 x (log.f64 2))) x)))
✓0.79%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓12.32%
(-.f64 (log.f64 2) (*.f64 x y))
57.66%
(+.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y)))))) 3) (cbrt.f64 (+.f64 1/2 y))) (log.f64 2))
58.5%
(+.f64 (/.f64 (expm1.f64 (log1p.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y))))))) (cbrt.f64 (+.f64 1/2 y))) (log.f64 2))
✓17.79%
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶18.36%
(+.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y))) (log.f64 2))
✓46.36%
(+.f64 (*.f64 1/2 x) (log.f64 2))
▶60.7%
(+.f64 (exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
35.91%
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 3) 2) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))
48.05%
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 1/2 y) x) (sqrt.f64 (/.f64 1 (log.f64 2))))) (sqrt.f64 (log.f64 2)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))
✓69.13%
(*.f64 (-.f64 1/2 y) x)
✓52.75%
(*.f64 x (neg.f64 y))
▶96.61%
(*.f64 1/2 x)
46.89%
(log.f64 2)
Compiler

Compiled 617 to 499 computations (19.1% saved)

localize60.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.27%
(*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))
✓0.41%
(cbrt.f64 (-.f64 1/2 y))
✓0.71%
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))
1.16%
(pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)
Compiler

Compiled 58 to 45 computations (22.4% saved)

series39.0ms (0.3%)

Counts
3 → 44
Calls

15 calls:

TimeVariablePointExpression
32.0ms
x
@0
(*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))
1.0ms
x
@0
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))
1.0ms
y
@0
(*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))
1.0ms
y
@0
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))
0.0ms
y
@0
(cbrt.f64 (-.f64 1/2 y))

rewrite96.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1048×*-commutative
830×unswap-sqr
638×swap-sqr
582×associate-*r/
426×sqr-pow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01247
125247
2300647
Stop Event
1×node limit
Counts
3 → 97
Calls
Call 1
Inputs
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))
(cbrt.f64 (-.f64 1/2 y))
(*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 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 (neg.f64 y)) (*.f64 x 1/2))))) (#(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 (*.f64 x 1/2) 1) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 -1/4 (*.f64 y y))) (+.f64 (neg.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (-.f64 1/8 (pow.f64 y 3)))) (+.f64 -1/4 (neg.f64 (*.f64 y (+.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))) (cbrt.f64 (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 x (-.f64 1/4 (*.f64 y y)))) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 x (-.f64 1/8 (pow.f64 y 3)))) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/4 (*.f64 y y)))) (sqrt.f64 (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 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y)))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)))) (#(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 cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.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))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1/2 y)) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1/2 y) 1/6) (pow.f64 (-.f64 1/2 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) 4)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (-.f64 1/2 y)) 1/6) (pow.f64 (sqrt.f64 (-.f64 1/2 y)) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (-.f64 1/2 y)) 1/6) (pow.f64 (sqrt.f64 (-.f64 1/2 y)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y)))) (cbrt.f64 (cbrt.f64 (-.f64 1/2 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y)))) (cbrt.f64 (cbrt.f64 (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 y) 1/6)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 y) 1/6)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))) (cbrt.f64 (pow.f64 (-.f64 1/2 y) 1/6))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))) (cbrt.f64 (pow.f64 (-.f64 1/2 y) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) 1/4) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) (cbrt.f64 (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1/8 (pow.f64 y 3))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (cbrt.f64 (-.f64 1/4 (*.f64 y y)))) (cbrt.f64 (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (cbrt.f64 (-.f64 1/8 (pow.f64 y 3)))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))) (cbrt.f64 (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (-.f64 1/8 (pow.f64 y 3)))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 1) (cbrt.f64 (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1/8 (pow.f64 y 3))) 1) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1/2 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1/2 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1/2 y)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 1/2 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (cbrt.f64 (-.f64 1/2 y))) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))) (cbrt.f64 (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (cbrt.f64 (-.f64 1/2 y))) (cbrt.f64 (-.f64 1/8 (pow.f64 y 3)))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) (*.f64 x (cbrt.f64 (-.f64 1/2 y)))) (cbrt.f64 (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1/8 (pow.f64 y 3))) (*.f64 x (cbrt.f64 (-.f64 1/2 y)))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (-.f64 1/2 y)) (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 (-.f64 1/2 y)) (sqrt.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (-.f64 1/2 y)) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))))))))

simplify84.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1678×associate-/l*
1458×associate-/r*
1256×distribute-lft-in
546×associate-/l/
524×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03214359
18414001
230933995
Stop Event
1×node limit
Counts
141 → 165
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)))
(cbrt.f64 1/2)
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) y)) (cbrt.f64 1/2))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) y)) (+.f64 (cbrt.f64 1/2) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (pow.f64 y 2)))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) y)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) (pow.f64 (cbrt.f64 1/2) 2))) (+.f64 (cbrt.f64 1/2) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (pow.f64 y 2))))))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(*.f64 (cbrt.f64 1/4) x)
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) (*.f64 y x))) (*.f64 (cbrt.f64 1/4) x))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) (*.f64 y x))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 1 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (*.f64 (pow.f64 y 2) x)) (pow.f64 (cbrt.f64 1/4) 2))) (*.f64 (cbrt.f64 1/4) x)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) (*.f64 y x))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 1 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (*.f64 (pow.f64 y 2) x)) (pow.f64 (cbrt.f64 1/4) 2))) (+.f64 (*.f64 (cbrt.f64 1/4) x) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 3) (*.f64 (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))) (+.f64 (*.f64 -1/3 (*.f64 (-.f64 1 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)) 1/3))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)) 1/3) (-.f64 1 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))))))) x)) (pow.f64 (cbrt.f64 1/4) 2))))))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 x 1/2))
(+.f64 (*.f64 1 (*.f64 x 1/2)) (*.f64 1 (*.f64 x (neg.f64 y))))
(+.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 x (neg.f64 y)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 (neg.f64 y) 3))) (+.f64 1/4 (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) 1/2))))
(/.f64 (*.f64 x (+.f64 -1/4 (*.f64 y y))) (+.f64 (neg.f64 y) -1/2))
(/.f64 (*.f64 x (neg.f64 (-.f64 1/8 (pow.f64 y 3)))) (+.f64 -1/4 (neg.f64 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))) (cbrt.f64 (+.f64 1/2 y)))
(/.f64 (*.f64 (*.f64 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 1 (*.f64 x (-.f64 1/4 (*.f64 y y)))) (+.f64 1/2 y))
(/.f64 (*.f64 1 (*.f64 x (-.f64 1/8 (pow.f64 y 3)))) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/4 (*.f64 y y)))) (sqrt.f64 (+.f64 1/2 y)))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/8 (pow.f64 y 3)))) (sqrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 (neg.f64 y) 3)) x) (+.f64 1/4 (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) 1/2))))
(/.f64 (*.f64 (+.f64 -1/4 (*.f64 y y)) x) (+.f64 (neg.f64 y) -1/2))
(/.f64 (*.f64 (neg.f64 (-.f64 1/8 (pow.f64 y 3))) x) (+.f64 -1/4 (neg.f64 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))) (cbrt.f64 (+.f64 1/2 y)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/8 (pow.f64 y 3))) (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (*.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 1) (+.f64 1/2 y))
(/.f64 (*.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) 1) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(/.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 1) (+.f64 1/2 y))
(/.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (sqrt.f64 (+.f64 1/2 y))) (sqrt.f64 (+.f64 1/2 y)))
(/.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (*.f64 (cbrt.f64 (+.f64 1/2 y)) (cbrt.f64 (+.f64 1/2 y)))) (cbrt.f64 (+.f64 1/2 y)))
(/.f64 (/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) 1) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(/.f64 (/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (sqrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))) (sqrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3)))
(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))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 1/2 y)))) 1)
(*.f64 (cbrt.f64 (-.f64 1/2 y)) 1)
(*.f64 (cbrt.f64 (-.f64 1/2 y)) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(*.f64 1 (cbrt.f64 (-.f64 1/2 y)))
(*.f64 (pow.f64 (-.f64 1/2 y) 1/6) (pow.f64 (-.f64 1/2 y) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) 4)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) 4)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))))
(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (-.f64 1/2 y)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (-.f64 1/2 y)) 1/6) (pow.f64 (sqrt.f64 (-.f64 1/2 y)) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (-.f64 1/2 y)) 1/6) (pow.f64 (sqrt.f64 (-.f64 1/2 y)) 1/6)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y)))) (cbrt.f64 (cbrt.f64 (-.f64 1/2 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y)))) (cbrt.f64 (cbrt.f64 (-.f64 1/2 y)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 y) 1/6)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 y) 1/6)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))) (cbrt.f64 (pow.f64 (-.f64 1/2 y) 1/6))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))) (cbrt.f64 (pow.f64 (-.f64 1/2 y) 1/6))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) 1/4) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) 3/2))
(/.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) (cbrt.f64 (+.f64 1/2 y)))
(/.f64 (cbrt.f64 (-.f64 1/8 (pow.f64 y 3))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (*.f64 1 (cbrt.f64 (-.f64 1/4 (*.f64 y y)))) (cbrt.f64 (+.f64 1/2 y)))
(/.f64 (*.f64 1 (cbrt.f64 (-.f64 1/8 (pow.f64 y 3)))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))) (cbrt.f64 (+.f64 1/2 y)))
(/.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (-.f64 1/8 (pow.f64 y 3)))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 1) (cbrt.f64 (+.f64 1/2 y)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/8 (pow.f64 y 3))) 1) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(pow.f64 (-.f64 1/2 y) 1/3)
(pow.f64 (cbrt.f64 (-.f64 1/2 y)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 1/2 y) 1/6) 2)
(pow.f64 (sqrt.f64 (-.f64 1/2 y)) 2/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))
(fabs.f64 (cbrt.f64 (-.f64 1/2 y)))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 1/2 y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 1/2 y))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 1/2 y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 1/2 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))) 1)
(/.f64 (*.f64 (*.f64 x (cbrt.f64 (-.f64 1/2 y))) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))) (cbrt.f64 (+.f64 1/2 y)))
(/.f64 (*.f64 (*.f64 x (cbrt.f64 (-.f64 1/2 y))) (cbrt.f64 (-.f64 1/8 (pow.f64 y 3)))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) (*.f64 x (cbrt.f64 (-.f64 1/2 y)))) (cbrt.f64 (+.f64 1/2 y)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/8 (pow.f64 y 3))) (*.f64 x (cbrt.f64 (-.f64 1/2 y)))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(pow.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) 1)
(pow.f64 (*.f64 (cbrt.f64 (-.f64 1/2 y)) (sqrt.f64 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))) 3)
(pow.f64 (*.f64 x (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 (-.f64 1/2 y)) (sqrt.f64 x)) 4))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))))
(cbrt.f64 (*.f64 x (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 2)))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (-.f64 1/2 y)) 2/3)))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))))
Outputs
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(*.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 x (neg.f64 y))
(*.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)
(cbrt.f64 1/2)
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) y)) (cbrt.f64 1/2))
(fma.f64 -1/3 (*.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (cbrt.f64 1/2))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) y)) (+.f64 (cbrt.f64 1/2) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (pow.f64 y 2)))))
(+.f64 (fma.f64 -1/3 (*.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (cbrt.f64 1/2)) (*.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (*.f64 y y))))
(fma.f64 -1/3 (*.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (*.f64 y y)) (cbrt.f64 1/2)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) y)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 (*.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) (pow.f64 (cbrt.f64 1/2) 2))) (+.f64 (cbrt.f64 1/2) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (pow.f64 y 2))))))
(fma.f64 -1/3 (*.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (fma.f64 1/3 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (cbrt.f64 1/2) 2) (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 1/2) 2)) (*.f64 -2/9 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) (+.f64 (cbrt.f64 1/2) (*.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (*.f64 y y))))))
(fma.f64 -1/3 (*.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 1/2) 2)) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) -5/27)) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (*.f64 y y)) (cbrt.f64 1/2))))
(fma.f64 -1/3 (*.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 1/2) 2)) (/.f64 -5/27 (pow.f64 (cbrt.f64 1/2) 2))) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (*.f64 y y)) (cbrt.f64 1/2))))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) 2)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 1/2 y) 2)) 1/3) x)
(*.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) 2)))
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(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) 4)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) 4)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) 4)))
(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (-.f64 1/2 y)))
(cbrt.f64 (-.f64 1/2 y))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (-.f64 1/2 y)) 1/6) (pow.f64 (sqrt.f64 (-.f64 1/2 y)) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (-.f64 1/2 y)) 1/6) (pow.f64 (sqrt.f64 (-.f64 1/2 y)) 1/6)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1/2 y)) 1/6) (*.f64 (pow.f64 (sqrt.f64 (-.f64 1/2 y)) 1/6) (*.f64 (pow.f64 (sqrt.f64 (-.f64 1/2 y)) 1/6) (pow.f64 (sqrt.f64 (-.f64 1/2 y)) 1/6))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 y))) (cbrt.f64 (sqrt.f64 (-.f64 1/2 y))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y)))) (cbrt.f64 (cbrt.f64 (-.f64 1/2 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y)))) (cbrt.f64 (cbrt.f64 (-.f64 1/2 y)))))
(cbrt.f64 (-.f64 1/2 y))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 y) 1/6)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 y) 1/6)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 y) 1/6)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))) (cbrt.f64 (pow.f64 (-.f64 1/2 y) 1/6)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 y) 1/6)) (cbrt.f64 (pow.f64 (-.f64 1/2 y) 1/6))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 y) 1/6)) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 y) 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))))))
(cbrt.f64 (-.f64 1/2 y))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))) (cbrt.f64 (pow.f64 (-.f64 1/2 y) 1/6))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))) (cbrt.f64 (pow.f64 (-.f64 1/2 y) 1/6))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 y) 1/6)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))) (cbrt.f64 (pow.f64 (-.f64 1/2 y) 1/6)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 y) 1/6)) (cbrt.f64 (pow.f64 (-.f64 1/2 y) 1/6))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 y) 1/6)) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 y) 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) 1/4) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) 1/4))
(cbrt.f64 (-.f64 1/2 y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) 3/2))
(cbrt.f64 (-.f64 1/2 y))
(/.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) (cbrt.f64 (+.f64 1/2 y)))
(/.f64 (cbrt.f64 (-.f64 1/8 (pow.f64 y 3))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (cbrt.f64 (-.f64 1/8 (pow.f64 y 3))) (cbrt.f64 (fma.f64 y (+.f64 1/2 y) 1/4)))
(/.f64 (*.f64 1 (cbrt.f64 (-.f64 1/4 (*.f64 y y)))) (cbrt.f64 (+.f64 1/2 y)))
(/.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) (cbrt.f64 (+.f64 1/2 y)))
(/.f64 (*.f64 1 (cbrt.f64 (-.f64 1/8 (pow.f64 y 3)))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (cbrt.f64 (-.f64 1/8 (pow.f64 y 3))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (cbrt.f64 (-.f64 1/8 (pow.f64 y 3))) (cbrt.f64 (fma.f64 y (+.f64 1/2 y) 1/4)))
(/.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))) (cbrt.f64 (+.f64 1/2 y)))
(/.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) (cbrt.f64 (+.f64 1/2 y)))
(/.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (-.f64 1/8 (pow.f64 y 3)))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (cbrt.f64 (-.f64 1/8 (pow.f64 y 3))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (cbrt.f64 (-.f64 1/8 (pow.f64 y 3))) (cbrt.f64 (fma.f64 y (+.f64 1/2 y) 1/4)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 1) (cbrt.f64 (+.f64 1/2 y)))
(/.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) (cbrt.f64 (+.f64 1/2 y)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/8 (pow.f64 y 3))) 1) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (cbrt.f64 (-.f64 1/8 (pow.f64 y 3))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (cbrt.f64 (-.f64 1/8 (pow.f64 y 3))) (cbrt.f64 (fma.f64 y (+.f64 1/2 y) 1/4)))
(pow.f64 (-.f64 1/2 y) 1/3)
(cbrt.f64 (-.f64 1/2 y))
(pow.f64 (cbrt.f64 (-.f64 1/2 y)) 1)
(cbrt.f64 (-.f64 1/2 y))
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) 1/2)
(cbrt.f64 (-.f64 1/2 y))
(pow.f64 (pow.f64 (-.f64 1/2 y) 1/6) 2)
(cbrt.f64 (-.f64 1/2 y))
(pow.f64 (sqrt.f64 (-.f64 1/2 y)) 2/3)
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1/2 y)) 1/6) (*.f64 (pow.f64 (sqrt.f64 (-.f64 1/2 y)) 1/6) (*.f64 (pow.f64 (sqrt.f64 (-.f64 1/2 y)) 1/6) (pow.f64 (sqrt.f64 (-.f64 1/2 y)) 1/6))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1/2 y))) (cbrt.f64 (sqrt.f64 (-.f64 1/2 y))))
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1/2 y))) 3)
(cbrt.f64 (-.f64 1/2 y))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))
(cbrt.f64 (-.f64 1/2 y))
(fabs.f64 (cbrt.f64 (-.f64 1/2 y)))
(cbrt.f64 (-.f64 1/2 y))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 1/2 y))))
(cbrt.f64 (-.f64 1/2 y))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 1/2 y)))))
(cbrt.f64 (-.f64 1/2 y))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 1/2 y))))
(cbrt.f64 (-.f64 1/2 y))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 1/2 y))))
(cbrt.f64 (-.f64 1/2 y))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 1/2 y))))
(cbrt.f64 (-.f64 1/2 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))) 1)
(*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))
(/.f64 (*.f64 (*.f64 x (cbrt.f64 (-.f64 1/2 y))) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))) (cbrt.f64 (+.f64 1/2 y)))
(/.f64 (*.f64 x (cbrt.f64 (-.f64 1/2 y))) (/.f64 (cbrt.f64 (+.f64 1/2 y)) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))))
(*.f64 (/.f64 (*.f64 x (cbrt.f64 (-.f64 1/2 y))) (cbrt.f64 (+.f64 1/2 y))) (cbrt.f64 (-.f64 1/4 (*.f64 y y))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) (cbrt.f64 (+.f64 1/2 y))) (*.f64 x (cbrt.f64 (-.f64 1/2 y))))
(/.f64 (*.f64 (*.f64 x (cbrt.f64 (-.f64 1/2 y))) (cbrt.f64 (-.f64 1/8 (pow.f64 y 3)))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/8 (pow.f64 y 3))) (*.f64 x (cbrt.f64 (-.f64 1/2 y)))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(*.f64 (/.f64 (*.f64 x (cbrt.f64 (-.f64 1/2 y))) (cbrt.f64 (fma.f64 y (+.f64 1/2 y) 1/4))) (cbrt.f64 (-.f64 1/8 (pow.f64 y 3))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) (*.f64 x (cbrt.f64 (-.f64 1/2 y)))) (cbrt.f64 (+.f64 1/2 y)))
(/.f64 (*.f64 x (cbrt.f64 (-.f64 1/2 y))) (/.f64 (cbrt.f64 (+.f64 1/2 y)) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))))
(*.f64 (/.f64 (*.f64 x (cbrt.f64 (-.f64 1/2 y))) (cbrt.f64 (+.f64 1/2 y))) (cbrt.f64 (-.f64 1/4 (*.f64 y y))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) (cbrt.f64 (+.f64 1/2 y))) (*.f64 x (cbrt.f64 (-.f64 1/2 y))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/8 (pow.f64 y 3))) (*.f64 x (cbrt.f64 (-.f64 1/2 y)))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(*.f64 (/.f64 (*.f64 x (cbrt.f64 (-.f64 1/2 y))) (cbrt.f64 (fma.f64 y (+.f64 1/2 y) 1/4))) (cbrt.f64 (-.f64 1/8 (pow.f64 y 3))))
(pow.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) 1)
(*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))
(pow.f64 (*.f64 (cbrt.f64 (-.f64 1/2 y)) (sqrt.f64 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))) 3)
(*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))
(pow.f64 (*.f64 x (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) 1/3)
(cbrt.f64 (*.f64 x (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 3)))
(sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 (-.f64 1/2 y)) (sqrt.f64 x)) 4))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))
(*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))))
(*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))
(cbrt.f64 (*.f64 x (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(cbrt.f64 (*.f64 x (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 2)))
(cbrt.f64 (*.f64 x (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))))
(*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (-.f64 1/2 y)) 2/3)))
(*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))))
(*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))

localize6.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.01%
(/.f64 (+.f64 1/2 y) x)
✓31%
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
Compiler

Compiled 33 to 18 computations (45.5% saved)

series34.0ms (0.3%)

Counts
2 → 36
Calls

12 calls:

TimeVariablePointExpression
30.0ms
x
@0
(/.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
y
@0
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
0.0ms
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))

rewrite76.0ms (0.6%)

Algorithm
1×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
01144
125926
2383326
Stop Event
1×node limit
Counts
2 → 102
Calls
Call 1
Inputs
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(/.f64 (+.f64 1/2 y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 (/.f64 x (+.f64 y 1/2))) (*.f64 (/.f64 (*.f64 y y) (-.f64 -1/2 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 -1/2 y)) x) (*.f64 1/4 (/.f64 x (+.f64 y 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 (/.f64 x (+.f64 y 1/2)) 1/4) (*.f64 (/.f64 x (+.f64 y 1/2)) (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (+.f64 y 1/2)) (*.f64 y (neg.f64 y))) (*.f64 (/.f64 x (+.f64 y 1/2)) 1/4))))) (#(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 (*.f64 1/4 (/.f64 x (+.f64 y 1/2))) 1) (*.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 -1/2 y)) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/4 (/.f64 x (+.f64 y 1/2))) (*.f64 (*.f64 y y) (/.f64 x (+.f64 y 1/2))))))) 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x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 y 1/2) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 y 1/2) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 y 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 y 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y 1/2) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 y 1/2) x)))))))

simplify84.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1478×associate-*r/
1214×distribute-lft-in
1174×distribute-rgt-in
988×associate-*l/
944×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02572912
16792558
228122414
Stop Event
1×node limit
Counts
138 → 121
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)))
(+.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)))
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)
(+.f64 (*.f64 1/4 (/.f64 x (+.f64 y 1/2))) (*.f64 (/.f64 (*.f64 y y) (-.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 (*.f64 y y) (-.f64 -1/2 y)) x) (*.f64 1/4 (/.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 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))
(*.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 1/4 (/.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)))
(*.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))) (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 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 (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 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 (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 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 (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 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 (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))))
(*.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 y) x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) -1)
(*.f64 x (-.f64 1/2 y))
(neg.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (/.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)))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(fabs.f64 (*.f64 x (-.f64 1/2 y)))
(log.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x))
(*.f64 x (-.f64 1/2 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(*.f64 x (-.f64 1/2 y))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(*.f64 x (-.f64 1/2 y))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 3) (pow.f64 (/.f64 (+.f64 y 1/2) x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 3) (pow.f64 (/.f64 (+.f64 1/2 y) x) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1))
(*.f64 x (-.f64 1/2 y))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 (/.f64 1 x) y) (*.f64 (/.f64 1 x) 1/2))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(+.f64 (*.f64 (/.f64 1 x) 1/2) (*.f64 (/.f64 1 x) y))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(+.f64 (*.f64 y (/.f64 1 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 y (/.f64 1 x)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 y 1/2) x))) 1)
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 y 1/2) (/.f64 1 x))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 y 1/2) (neg.f64 (neg.f64 (/.f64 1 x))))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(*.f64 (/.f64 (+.f64 y 1/2) x) 1)
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(*.f64 1 (/.f64 (+.f64 y 1/2) x))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(*.f64 (sqrt.f64 (+.f64 y 1/2)) (*.f64 (sqrt.f64 (+.f64 y 1/2)) (/.f64 1 x)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(*.f64 (sqrt.f64 (/.f64 (+.f64 y 1/2) x)) (sqrt.f64 (/.f64 (+.f64 y 1/2) x)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(*.f64 (sqrt.f64 (/.f64 (+.f64 y 1/2) x)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 y 1/2) x)))))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2) (*.f64 (cbrt.f64 (+.f64 y 1/2)) (/.f64 1 x)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(*.f64 (cbrt.f64 (/.f64 (+.f64 y 1/2) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1/2) x)) 2))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1/2) x)) 2) (cbrt.f64 (/.f64 (+.f64 y 1/2) x)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) 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 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(*.f64 (/.f64 1 x) (+.f64 y 1/2))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(*.f64 (-.f64 -1/2 y) (neg.f64 (/.f64 1 x)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(*.f64 (-.f64 -1/2 y) (/.f64 1 (neg.f64 x)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1/2 y) x)) (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1/2 y) x))))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.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 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 y 1/2) (sqrt.f64 x)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 y 1/2) (cbrt.f64 x)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(*.f64 -1 (/.f64 (-.f64 -1/2 y) x))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.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 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) 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 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(*.f64 (/.f64 (sqrt.f64 (+.f64 y 1/2)) 1) (/.f64 (sqrt.f64 (+.f64 y 1/2)) x))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) 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 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 y 1/2)) x))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) 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 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) 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 (cbrt.f64 (/.f64 (+.f64 1/2 y) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1/2 y) x))) (sqrt.f64 (/.f64 (-.f64 -1/2 y) x)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.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 (/.f64 y x) (/.f64 1/2 x))
(/.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 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) 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)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(pow.f64 (/.f64 (+.f64 y 1/2) x) 1)
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 y 1/2) x)) 2)
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 y 1/2) x)) 3)
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(pow.f64 (pow.f64 (/.f64 (+.f64 y 1/2) x) 3) 1/3)
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(pow.f64 (/.f64 x (+.f64 y 1/2)) -1)
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(neg.f64 (/.f64 (-.f64 -1/2 y) x))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 y 1/2) x) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1/2 y) x) 2))
(fabs.f64 (/.f64 (+.f64 1/2 y) x))
(log.f64 (exp.f64 (/.f64 (+.f64 y 1/2) x)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 y 1/2) x))))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 y 1/2) x) 3))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 y 1/2) 3) (pow.f64 x 3)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 y 1/2) x)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(exp.f64 (log.f64 (/.f64 (+.f64 y 1/2) x)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y 1/2) x)) 1))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 y 1/2) x)))
(+.f64 (/.f64 y x) (/.f64 1/2 x))
(/.f64 (+.f64 1/2 y) x)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.01%
(+.f64 (exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
✓0.01%
(log.f64 (*.f64 (-.f64 1/2 y) x))
0.01%
(*.f64 (-.f64 1/2 y) x)
✓3.44%
(exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
Compiler

Compiled 39 to 28 computations (28.2% saved)

series76.0ms (0.6%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
49.0ms
x
@0
(log.f64 (*.f64 (-.f64 1/2 y) x))
19.0ms
x
@-inf
(log.f64 (*.f64 (-.f64 1/2 y) x))
6.0ms
x
@inf
(log.f64 (*.f64 (-.f64 1/2 y) x))
0.0ms
y
@inf
(log.f64 (*.f64 (-.f64 1/2 y) x))
0.0ms
y
@-inf
(log.f64 (*.f64 (-.f64 1/2 y) x))

rewrite154.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1098×associate-*r/
942×associate-*l/
848×distribute-rgt-in
814×distribute-lft-in
264×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01353
126549
2323949
Stop Event
1×node limit
Counts
3 → 224
Calls
Call 1
Inputs
(exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(log.f64 (*.f64 (-.f64 1/2 y) x))
(+.f64 (exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
Outputs
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simplify206.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1084×+-commutative
940×associate-+r+
798×associate-/l*
650×associate-*l*
590×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062111996
1169310888
2700610888
Stop Event
1×node limit
Counts
296 → 371
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 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(log.f64 (*.f64 1/2 x))
(+.f64 (*.f64 -2 y) (log.f64 (*.f64 1/2 x)))
(+.f64 (*.f64 -2 y) (+.f64 (*.f64 -2 (pow.f64 y 2)) (log.f64 (*.f64 1/2 x))))
(+.f64 (*.f64 -2 y) (+.f64 (*.f64 -8/3 (pow.f64 y 3)) (+.f64 (*.f64 -2 (pow.f64 y 2)) (log.f64 (*.f64 1/2 x)))))
(+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (*.f64 1/2 (/.f64 1 y)))
(-.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/8 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/8 (/.f64 1 (pow.f64 y 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)) (*.f64 1/2 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)) (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/8 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)) (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/8 (/.f64 1 (pow.f64 y 2))))))
(+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))
(+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))
(+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))
(+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y))))
(+.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))))
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(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))
(neg.f64 (*.f64 x y))
(*.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))
(neg.f64 (*.f64 x y))
(*.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 (-.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))
(log.f64 (*.f64 1/2 x))
(+.f64 (*.f64 -2 y) (log.f64 (*.f64 1/2 x)))
(fma.f64 -2 y (log.f64 (*.f64 1/2 x)))
(fma.f64 y -2 (log.f64 (*.f64 1/2 x)))
(+.f64 (*.f64 -2 y) (+.f64 (*.f64 -2 (pow.f64 y 2)) (log.f64 (*.f64 1/2 x))))
(fma.f64 -2 y (fma.f64 -2 (*.f64 y y) (log.f64 (*.f64 1/2 x))))
(fma.f64 y -2 (fma.f64 -2 (*.f64 y y) (log.f64 (*.f64 1/2 x))))
(+.f64 (*.f64 -2 y) (+.f64 (*.f64 -8/3 (pow.f64 y 3)) (+.f64 (*.f64 -2 (pow.f64 y 2)) (log.f64 (*.f64 1/2 x)))))
(fma.f64 -2 y (fma.f64 -8/3 (pow.f64 y 3) (fma.f64 -2 (*.f64 y y) (log.f64 (*.f64 1/2 x)))))
(fma.f64 y -2 (fma.f64 -8/3 (pow.f64 y 3) (fma.f64 -2 (*.f64 y y) (log.f64 (*.f64 1/2 x)))))
(+.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 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (neg.f64 (neg.f64 (log.f64 y))) (/.f64 1/2 y)))
(+.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 y) (/.f64 -1/2 y)))
(-.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/8 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y)))) (+.f64 (/.f64 1/2 y) (/.f64 1/8 (*.f64 y y))))
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (log.f64 y) (+.f64 (/.f64 1/2 y) (/.f64 1/8 (*.f64 y y)))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/8 (/.f64 1 (pow.f64 y 2))))))
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (neg.f64 (neg.f64 (log.f64 y))) (+.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/8 (*.f64 y y))) (/.f64 1/24 (pow.f64 y 3)))))
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (log.f64 y) (+.f64 (/.f64 1/2 y) (+.f64 (/.f64 1/8 (*.f64 y y)) (/.f64 1/24 (pow.f64 y 3))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x))
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)) (*.f64 1/2 (/.f64 1 y)))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 x)) (/.f64 1/2 y))
(+.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))) (/.f64 -1/2 y))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)) (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/8 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 x)) (+.f64 (/.f64 1/2 y) (/.f64 1/8 (*.f64 y y))))
(+.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))) (-.f64 (/.f64 -1/2 y) (/.f64 1/8 (*.f64 y y))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x)) (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/8 (/.f64 1 (pow.f64 y 2))))))
(-.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 x)) (/.f64 1/24 (pow.f64 y 3))) (+.f64 (/.f64 1/2 y) (/.f64 1/8 (*.f64 y y))))
(-.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1/2 y) (+.f64 (/.f64 1/8 (*.f64 y y)) (/.f64 1/24 (pow.f64 y 3)))))
(+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (-.f64 1/2 y))))
(-.f64 (log.f64 (+.f64 -1/2 y)) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 (+.f64 y -1/2)) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (-.f64 1/2 y))))
(-.f64 (log.f64 (+.f64 -1/2 y)) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 (+.f64 y -1/2)) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (-.f64 1/2 y))))
(-.f64 (log.f64 (+.f64 -1/2 y)) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 (+.f64 y -1/2)) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (-.f64 1/2 y))))
(-.f64 (log.f64 (+.f64 -1/2 y)) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 (+.f64 y -1/2)) (log.f64 (/.f64 -1 x)))
(+.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 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 x 1/2) (*.f64 x (*.f64 (neg.f64 y) 1)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 x 1/2))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 (*.f64 (neg.f64 y) 1) x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 (neg.f64 y) x) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1 (*.f64 x 1/2)) (*.f64 1 (*.f64 x (neg.f64 y))))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1 (*.f64 1/2 x)) (*.f64 1 (*.f64 (neg.f64 y) x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 x (neg.f64 y)) 1))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 (*.f64 1/2 x) 1) (*.f64 (*.f64 (neg.f64 y) x) 1))
(*.f64 x (-.f64 1/2 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 (*.f64 (-.f64 1/2 y) x) 1)
(*.f64 x (-.f64 1/2 y))
(*.f64 1 (*.f64 (-.f64 1/2 y) x))
(*.f64 x (-.f64 1/2 y))
(*.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x))
(*.f64 x (-.f64 1/2 y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)))
(*.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 x (-.f64 1/2 y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x))
(*.f64 x (-.f64 1/2 y))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)))
(*.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 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y))
(*.f64 x (-.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 1/4 (*.f64 y (-.f64 y 1/2))) (/.f64 x (/.f64 (+.f64 (pow.f64 y 3) 1/8) (-.f64 1/4 (*.f64 y y)))))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (/.f64 (+.f64 (pow.f64 y 3) 1/8) (fma.f64 y (+.f64 y -1/2) 1/4)))
(*.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))))
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(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (/.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)) 3) (pow.f64 (log.f64 2) 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x (+.f64 -1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x (+.f64 y -1/2))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (*.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 2) 2))) (/.f64 1 (fma.f64 (-.f64 1/2 y) x (neg.f64 (log.f64 2))))) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 4) (pow.f64 (log.f64 2) 4)) (*.f64 (fma.f64 (-.f64 1/2 y) x (neg.f64 (log.f64 2))) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2))) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) 3) (pow.f64 (pow.f64 (log.f64 2) 2) 3)) (/.f64 1 (fma.f64 (-.f64 1/2 y) x (neg.f64 (log.f64 2))))) (+.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (+.f64 (*.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 2) 2)) (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) 3) (pow.f64 (pow.f64 (log.f64 2) 2) 3)) (*.f64 (fma.f64 (-.f64 1/2 y) x (neg.f64 (log.f64 2))) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 4) (+.f64 (pow.f64 (log.f64 2) 4) (*.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 6) (pow.f64 (log.f64 2) 6)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2)))) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 4) (fma.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 2) 4))))
(/.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 (pow.f64 (*.f64 x (-.f64 1/2 y)) 6) (pow.f64 (log.f64 2) 6)) (*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 6) (pow.f64 (log.f64 2) 6)) (*.f64 (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x (+.f64 -1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 6) (pow.f64 (log.f64 2) 6)) (*.f64 (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x (+.f64 y -1/2))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))))
(/.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 (*.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 (+.f64 (pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 3) (pow.f64 (pow.f64 (log.f64 2) 3) 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))) (fma.f64 (pow.f64 (log.f64 2) 3) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (pow.f64 (*.f64 x (-.f64 1/2 y)) 6)))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 3) (pow.f64 (pow.f64 (log.f64 2) 3) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x (+.f64 y -1/2))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))) (fma.f64 (pow.f64 (log.f64 2) 3) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (pow.f64 (*.f64 x (-.f64 1/2 y)) 6)))
(/.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)) (neg.f64 (*.f64 x 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 (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 (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 (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 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (+.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (log.f64 2)))) (-.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (log.f64 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (+.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (log.f64 2)))) (-.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (*.f64 (+.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (log.f64 2))) (-.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (log.f64 2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) 1) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x (+.f64 -1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (+.f64 (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 y -1/2))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x (+.f64 -1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (+.f64 (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 y -1/2))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x (+.f64 -1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.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 y -1/2))) (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)) (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))
(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 (exp.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))
(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))
(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)) (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))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 1 (*.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 (log.f64 2) (*.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))
(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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))

localize227.0ms (1.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓6.23%
(/.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/3) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
✓8.91%
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/3) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))))
✓15.64%
(pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/3)
20%
(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)))))
Compiler

Compiled 291 to 246 computations (15.5% saved)

series68.0ms (0.6%)

Counts
3 → 24
Calls

12 calls:

TimeVariablePointExpression
10.0ms
y
@-inf
(/.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/3) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
9.0ms
y
@inf
(/.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/3) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
7.0ms
x
@0
(/.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/3) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
7.0ms
x
@-inf
(pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/3)
7.0ms
y
@0
(/.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/3) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))

rewrite65.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
786×add-sqr-sqrt
756×*-un-lft-identity
744×pow1
740×add-cube-cbrt
738×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035287
1803287
Stop Event
1×node limit
Counts
3 → 41
Calls
Call 1
Inputs
(pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/3)
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/3) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))))
(/.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/3) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (pow.f64 (log.f64 2) 3)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (*.f64 1/8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (*.f64 1/8 (pow.f64 x 3))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (pow.f64 (log.f64 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (-.f64 (*.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 2) 3)) (*.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x 3))))) (-.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (+.f64 (pow.f64 (pow.f64 (log.f64 2) 3) 3) (pow.f64 (*.f64 1/8 (pow.f64 x 3)) 3))) (+.f64 (*.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 2) 3)) (-.f64 (*.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x 3))) (*.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 2) 3)) (*.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x 3)))) (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2))) (-.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (log.f64 2) 3) 3) (pow.f64 (*.f64 1/8 (pow.f64 x 3)) 3)) (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2))) (+.f64 (*.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 2) 3)) (-.f64 (*.f64 (*.f64 1/8 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x 3))) (*.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))))))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (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 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))) (/.f64 1 (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)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (/.f64 1 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) 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simplify130.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1608×associate-*r*
1184×associate-*l*
918×fma-def
874×*-commutative
692×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055017647
1177716559
Stop Event
1×node limit
Counts
65 → 115
Calls
Call 1
Inputs
(pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/3)
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 37)) 1/9) x)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/3))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 37)) 1/9) x)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 8)) 1/3) (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 6))) (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 86)) 1/9))) (pow.f64 x 2)))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/3)))
(+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 7))) (+.f64 (*.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 37)) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 25)) 1/9) (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 6))) (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 86)) 1/9))))))) (pow.f64 x 3)) (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 8)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 37)) 1/9) x)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 8)) 1/3) (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 6))) (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 86)) 1/9))) (pow.f64 x 2)))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/3))))
(pow.f64 (pow.f64 (log.f64 2) 5) 1/3)
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 10)) 1/9) x)) (pow.f64 (pow.f64 (log.f64 2) 5) 1/3))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 10)) 1/9) x)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 17)) 1/3) (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 6))) (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 86)) 1/9))) (pow.f64 x 2)))) (pow.f64 (pow.f64 (log.f64 2) 5) 1/3)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 10)) 1/9) x)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 17)) 1/3) (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 6))) (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 86)) 1/9))) (pow.f64 x 2)))) (+.f64 (pow.f64 (pow.f64 (log.f64 2) 5) 1/3) (*.f64 (+.f64 (*.f64 1/8 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/3)) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 17)) 1/3) (+.f64 (*.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 37)) 1/3)) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 25)) 1/9) (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 6))) (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 86)) 1/9))))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 7)))))))) (pow.f64 x 3)))))
(log.f64 2)
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 13)) 1/3) (*.f64 (-.f64 (*.f64 3/2 (/.f64 1 (pow.f64 (log.f64 2) 7))) (/.f64 y (pow.f64 (log.f64 2) 7))) x))) (log.f64 2))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 13)) 1/3) (*.f64 (-.f64 (*.f64 3/2 (/.f64 1 (pow.f64 (log.f64 2) 7))) (/.f64 y (pow.f64 (log.f64 2) 7))) x))) (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (log.f64 2) 8)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 3/2 (/.f64 1 (pow.f64 (log.f64 2) 7))) (/.f64 y (pow.f64 (log.f64 2) 7))) (+.f64 (*.f64 -1 (pow.f64 (log.f64 2) 5)) (*.f64 (-.f64 y 1/2) (pow.f64 (log.f64 2) 5)))) (pow.f64 (log.f64 2) 6)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 (-.f64 (*.f64 3/2 (/.f64 1 (pow.f64 (log.f64 2) 7))) (/.f64 y (pow.f64 (log.f64 2) 7))) 2))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 8))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 2) 8))) (*.f64 -1 (/.f64 (-.f64 y 1/2) (pow.f64 (log.f64 2) 8)))))))) (*.f64 (pow.f64 (log.f64 2) 7) (pow.f64 x 2)))) (log.f64 2)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 13)) 1/3) (*.f64 (-.f64 (*.f64 3/2 (/.f64 1 (pow.f64 (log.f64 2) 7))) (/.f64 y (pow.f64 (log.f64 2) 7))) x))) (+.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (log.f64 2) 2))) (*.f64 1/3 (*.f64 (pow.f64 (log.f64 2) 7) (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 9))) (+.f64 (/.f64 (*.f64 (-.f64 y 1/2) (+.f64 (*.f64 1/2 (pow.f64 (log.f64 2) 2)) (*.f64 1/4 (pow.f64 (log.f64 2) 2)))) (pow.f64 (log.f64 2) 11)) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 10)) 1/3) (*.f64 (-.f64 (*.f64 3/2 (/.f64 1 (pow.f64 (log.f64 2) 7))) (/.f64 y (pow.f64 (log.f64 2) 7))) (+.f64 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (log.f64 2) 8)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 3/2 (/.f64 1 (pow.f64 (log.f64 2) 7))) (/.f64 y (pow.f64 (log.f64 2) 7))) (+.f64 (*.f64 -1 (pow.f64 (log.f64 2) 5)) (*.f64 (pow.f64 (log.f64 2) 5) (-.f64 y 1/2)))) (pow.f64 (log.f64 2) 6)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 (-.f64 (*.f64 3/2 (/.f64 1 (pow.f64 (log.f64 2) 7))) (/.f64 y (pow.f64 (log.f64 2) 7))) 2))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 8))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 2) 8))) (*.f64 -1 (/.f64 (-.f64 y 1/2) (pow.f64 (log.f64 2) 8))))))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (log.f64 2) 8)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 3/2 (/.f64 1 (pow.f64 (log.f64 2) 7))) (/.f64 y (pow.f64 (log.f64 2) 7))) (+.f64 (*.f64 -1 (pow.f64 (log.f64 2) 5)) (*.f64 (pow.f64 (log.f64 2) 5) (-.f64 y 1/2)))) (pow.f64 (log.f64 2) 6)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 2) 8))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 8))) (*.f64 -1 (/.f64 (-.f64 y 1/2) (pow.f64 (log.f64 2) 8))))))) (+.f64 (*.f64 -1 (pow.f64 (log.f64 2) 5)) (*.f64 (-.f64 y 1/2) (pow.f64 (log.f64 2) 5)))) (pow.f64 (log.f64 2) 6))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (log.f64 2) 9))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (log.f64 2) 2) (+.f64 (*.f64 1/2 (pow.f64 (log.f64 2) 2)) (*.f64 1/4 (pow.f64 (log.f64 2) 2)))) (+.f64 (*.f64 -1 (*.f64 (-.f64 y 1/2) (pow.f64 (log.f64 2) 4))) (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (log.f64 2) 4)))) (-.f64 (*.f64 3/2 (/.f64 1 (pow.f64 (log.f64 2) 7))) (/.f64 y (pow.f64 (log.f64 2) 7)))) (pow.f64 (log.f64 2) 6)) (*.f64 1/27 (*.f64 (pow.f64 (log.f64 2) 4) (pow.f64 (-.f64 (*.f64 3/2 (/.f64 1 (pow.f64 (log.f64 2) 7))) (/.f64 y (pow.f64 (log.f64 2) 7))) 3)))))))))))) (pow.f64 x 3)) (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (/.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 (log.f64 2) 8)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 3/2 (/.f64 1 (pow.f64 (log.f64 2) 7))) (/.f64 y (pow.f64 (log.f64 2) 7))) (+.f64 (*.f64 -1 (pow.f64 (log.f64 2) 5)) (*.f64 (-.f64 y 1/2) (pow.f64 (log.f64 2) 5)))) (pow.f64 (log.f64 2) 6)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (pow.f64 (-.f64 (*.f64 3/2 (/.f64 1 (pow.f64 (log.f64 2) 7))) (/.f64 y (pow.f64 (log.f64 2) 7))) 2))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 8))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 2) 8))) (*.f64 -1 (/.f64 (-.f64 y 1/2) (pow.f64 (log.f64 2) 8)))))))) (*.f64 (pow.f64 (log.f64 2) 7) (pow.f64 x 2)))) (log.f64 2))))
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(log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))))))
(*.f64 1 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (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 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))) (/.f64 1 (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 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (/.f64 1 (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 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3)))) (/.f64 1 (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 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (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 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3)))) 1)
(*.f64 (sqrt.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (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 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))))) (sqrt.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (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 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))))))
(*.f64 (sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))))) (*.f64 (sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))))) (/.f64 1 (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 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (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 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))))) (*.f64 (cbrt.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (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 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))))) (cbrt.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (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 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3)))))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (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 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))))) (cbrt.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (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 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3)))))) (cbrt.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (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 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))))) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3)))))) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))))) (/.f64 1 (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 1 (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 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (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 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))))
(pow.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (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 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3)))) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (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 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (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 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3)))) (*.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (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 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3)))) (*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (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 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3)))))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (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 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))))))
(exp.f64 (log.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (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 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (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 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))))))
Outputs
(pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 37)) 1/9) x)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/3))
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 37)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 37)) 1/18)) x) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 4))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 37)) 1/9) x)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 8)) 1/3) (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 6))) (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 86)) 1/9))) (pow.f64 x 2)))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/3)))
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 37)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 37)) 1/18)) x) (fma.f64 1/3 (*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 8)) (*.f64 (+.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 6)) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 86)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 86)) 1/18)))) (*.f64 x x))) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)))))
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 37)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 37)) 1/18)) x) (fma.f64 1/3 (*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 8)) (*.f64 (+.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 6)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 86)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 86)) 1/18)) -1/3)) (*.f64 x x))) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)))))
(+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 7))) (+.f64 (*.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 37)) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 25)) 1/9) (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 6))) (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 86)) 1/9))))))) (pow.f64 x 3)) (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 8)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 37)) 1/9) x)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 8)) 1/3) (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 6))) (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 86)) 1/9))) (pow.f64 x 2)))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/3))))
(fma.f64 -1/3 (*.f64 (fma.f64 1/27 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 37))) (fma.f64 2/3 (*.f64 (+.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 6)) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 86)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 86)) 1/18)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 25)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 25)) 1/18))) (/.f64 1/4 (pow.f64 (log.f64 2) 7)))) (*.f64 (pow.f64 x 3) (cbrt.f64 (pow.f64 (log.f64 2) 8)))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 37)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 37)) 1/18)) x) (fma.f64 1/3 (*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 8)) (*.f64 (+.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 6)) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 86)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 86)) 1/18)))) (*.f64 x x))) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 4))))))
(fma.f64 -1/3 (*.f64 (fma.f64 1/27 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 37))) (fma.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 25)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 25)) 1/18))) (+.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 6)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 86)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 86)) 1/18)) -1/3)) (/.f64 1/4 (pow.f64 (log.f64 2) 7)))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 8)) (pow.f64 x 3))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 37)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 37)) 1/18)) x) (fma.f64 1/3 (*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 8)) (*.f64 (+.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 6)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 86)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 86)) 1/18)) -1/3)) (*.f64 x x))) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 4))))))
(pow.f64 (pow.f64 (log.f64 2) 5) 1/3)
(cbrt.f64 (pow.f64 (log.f64 2) 5))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 10)) 1/9) x)) (pow.f64 (pow.f64 (log.f64 2) 5) 1/3))
(fma.f64 1/3 (*.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 10)) 1/18))) (cbrt.f64 (pow.f64 (log.f64 2) 5)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 10)) 1/9) x)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 17)) 1/3) (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 6))) (*.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 86)) 1/9))) (pow.f64 x 2)))) (pow.f64 (pow.f64 (log.f64 2) 5) 1/3)))
(fma.f64 1/3 (*.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 10)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 10)) 1/18))) (fma.f64 1/3 (*.f64 (*.f64 (+.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 6)) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 86)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 86)) 1/18)))) (*.f64 x x)) (cbrt.f64 (pow.f64 (log.f64 2) 17))) (cbrt.f64 (pow.f64 (log.f64 2) 5))))
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(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 (pow.f64 x 3) 1/8)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (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 (pow.f64 (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (*.f64 1/4 (*.f64 x x))) -2)) (/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))))
(exp.f64 (log.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (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 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 (pow.f64 x 3) 1/8)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (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 (pow.f64 (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (*.f64 1/4 (*.f64 x x))) -2)) (/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (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 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 (pow.f64 x 3) 1/8)) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) -2)) (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 (pow.f64 (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (*.f64 1/4 (*.f64 x x))) -2)) (/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (cbrt.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))))

eval921.0ms (7.7%)

Compiler

Compiled 40254 to 33336 computations (17.2% saved)

prune218.0ms (1.8%)

Pruning

23 alts after pruning (15 fresh and 8 done)

PrunedKeptTotal
New96911980
Fresh448
Picked101
Done3811
Total977231000
Error
0.62%
Counts
1000 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
✓17.79%
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
41.44%
(fma.f64 1/3 (*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 13)) (*.f64 x (-.f64 (/.f64 3/2 (pow.f64 (log.f64 2) 7)) (/.f64 y (pow.f64 (log.f64 2) 7))))) (log.f64 2))
88.56%
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
97.26%
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
91.2%
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
69.27%
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
19.3%
(-.f64 (+.f64 x (*.f64 x (-.f64 1/2 y))) (neg.f64 (/.f64 (fma.f64 -1 (*.f64 x x) (*.f64 x (log.f64 2))) x)))
✓0.79%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓12.32%
(-.f64 (log.f64 2) (*.f64 x y))
✓17.79%
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
46.12%
(+.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 1/2)) (log.f64 2))
✓46.36%
(+.f64 (*.f64 1/2 x) (log.f64 2))
41.44%
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 13)) 1/3) (*.f64 (-.f64 (*.f64 3/2 (/.f64 1 (pow.f64 (log.f64 2) 7))) (/.f64 y (pow.f64 (log.f64 2) 7))) x))) (log.f64 2))
86.68%
(+.f64 (exp.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) 1)) (log.f64 2))
75.57%
(+.f64 (exp.f64 (log.f64 (*.f64 1/2 x))) (log.f64 2))
86.58%
(+.f64 (exp.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))) (log.f64 2))
60.96%
(+.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 3))) (log.f64 2))
88.08%
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
91.22%
(*.f64 (/.f64 1 (+.f64 y 1/2)) (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 x)))
✓69.13%
(*.f64 (-.f64 1/2 y) x)
✓52.75%
(*.f64 x (neg.f64 y))
✓96.61%
(*.f64 1/2 x)
46.89%
(log.f64 2)
Compiler

Compiled 293 to 237 computations (19.1% saved)

regimes64.0ms (0.5%)

Counts
36 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 x)))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (+.f64 x (*.f64 x (-.f64 1/2 y))) (neg.f64 (/.f64 (fma.f64 -1 (*.f64 x x) (*.f64 x (log.f64 2))) x)))
(+.f64 (exp.f64 (log.f64 (*.f64 1/2 x))) (log.f64 2))
(+.f64 (exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
(+.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 1/2)) (log.f64 2))
(+.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y))) (log.f64 2))
(+.f64 (exp.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))) (log.f64 2))
(+.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 3))) (log.f64 2))
(+.f64 (exp.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) 1)) (log.f64 2))
(+.f64 (/.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))) (log.f64 2))
(+.f64 (/.f64 (expm1.f64 (log1p.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y))))))) (cbrt.f64 (+.f64 1/2 y))) (log.f64 2))
(+.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (-.f64 1/4 (*.f64 y y)))))) 3) (cbrt.f64 (+.f64 1/2 y))) (log.f64 2))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 2) 13)) 1/3) (*.f64 (-.f64 (*.f64 3/2 (/.f64 1 (pow.f64 (log.f64 2) 7))) (/.f64 y (pow.f64 (log.f64 2) 7))) x))) (log.f64 2))
(fma.f64 1/3 (*.f64 (cbrt.f64 (pow.f64 (log.f64 2) 13)) (*.f64 x (-.f64 (/.f64 3/2 (pow.f64 (log.f64 2) 7)) (/.f64 y (pow.f64 (log.f64 2) 7))))) (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (/.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)) 3) (pow.f64 (log.f64 2) 3)))))
(/.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) (log.f64 2))) 2)) 1/3) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 1/2 y) x) (sqrt.f64 (/.f64 1 (log.f64 2))))) (sqrt.f64 (log.f64 2)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 3) 2) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 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))))))
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Calls

3 calls:

18.0ms
x
16.0ms
y
13.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Results
ErrorSegmentsBranch
0.79%1x
0.79%1y
0.79%1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 659 to 513 computations (22.2% saved)

regimes28.0ms (0.2%)

Counts
14 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 x)))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
Outputs
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
Calls

2 calls:

16.0ms
x
8.0ms
y
Results
ErrorSegmentsBranch
1.23%2x
12.32%1y
Compiler

Compiled 115 to 73 computations (36.5% saved)

bsearch24.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
24.0ms
-196.91634019062764
-0.003136535919542146
Results
22.0ms128×body256valid
Compiler

Compiled 160 to 124 computations (22.5% saved)

regimes25.0ms (0.2%)

Counts
13 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 x)))
(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:

15.0ms
x
7.0ms
y
Results
ErrorSegmentsBranch
1.78%2x
12.32%1y
Compiler

Compiled 107 to 67 computations (37.4% saved)

bsearch35.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
35.0ms
-11974575100.646284
-196.91634019062764
Results
16.0ms94×body256valid
9.0ms33×body512valid
8.0ms17×body1024valid
0.0ms1×body256infinite
Compiler

Compiled 160 to 120 computations (25% saved)

regimes70.0ms (0.6%)

Counts
12 → 4
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 x)))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
Outputs
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (log.f64 2))
Calls

2 calls:

40.0ms
y
28.0ms
x
Results
ErrorSegmentsBranch
18.62%4x
28.35%5y
Compiler

Compiled 101 to 63 computations (37.6% saved)

bsearch46.0ms (0.4%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
-1.4519297797373896e-95
-6.971262872708712e-99
11.0ms
-3.4894657052880513e-71
-1.4911822583382481e-71
18.0ms
-0.00016047557153177724
-2.684659810779375e-9
Results
41.0ms336×body256valid
Compiler

Compiled 352 to 285 computations (19% saved)

regimes66.0ms (0.6%)

Counts
11 → 4
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 x)))
(log.f64 2)
Outputs
(*.f64 x (neg.f64 y))
(log.f64 2)
(*.f64 x (neg.f64 y))
(log.f64 2)
Calls

2 calls:

38.0ms
y
25.0ms
x
Results
ErrorSegmentsBranch
19.06%4x
28.63%5y
Compiler

Compiled 95 to 58 computations (38.9% saved)

bsearch44.0ms (0.4%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
-1.4519297797373896e-95
-6.971262872708712e-99
10.0ms
-3.4894657052880513e-71
-1.4911822583382481e-71
17.0ms
-0.00016047557153177724
-2.684659810779375e-9
Results
40.0ms336×body256valid
Compiler

Compiled 268 to 222 computations (17.2% saved)

regimes15.0ms (0.1%)

Accuracy

Total -29.5b remaining (-87.4%)

Threshold costs -29.5b (-87.4%)

Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 x)))
Outputs
(*.f64 x (neg.f64 y))
Calls

2 calls:

7.0ms
x
6.0ms
y
Results
ErrorSegmentsBranch
52.75%1x
52.75%1y
Compiler

Compiled 93 to 56 computations (39.8% saved)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
20×+-commutative
16×*-commutative
10×sub-neg
8×not-or
8×if-if-or-not
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
045251
170245
288245
398237
4102237
5104237
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -200) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -8028023020878397/2361183241434822606848) (*.f64 x (neg.f64 y)) (if (<=.f64 x -1025729175095185/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (+.f64 (*.f64 1/2 x) (log.f64 2)) (if (<=.f64 x -8717790067256469/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 1/2 x) (log.f64 2)))))
(if (<=.f64 x -944473296573929/75557863725914323419136) (*.f64 x (neg.f64 y)) (if (<=.f64 x -4724570745892973/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) (log.f64 2) (if (<=.f64 x -8717790067256469/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (*.f64 x (neg.f64 y)) (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 -200) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -8028023020878397/2361183241434822606848) (*.f64 x (neg.f64 y)) (if (<=.f64 x -1025729175095185/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (+.f64 (*.f64 1/2 x) (log.f64 2)) (if (<=.f64 x -8717790067256469/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 1/2 x) (log.f64 2)))))
(if (<=.f64 x -8028023020878397/2361183241434822606848) (*.f64 x (neg.f64 y)) (if (or (<=.f64 x -1025729175095185/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (not (<=.f64 x -8717790067256469/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856))) (+.f64 (log.f64 2) (*.f64 x 1/2)) (*.f64 x (neg.f64 y))))
(if (or (<=.f64 x -8028023020878397/2361183241434822606848) (not (or (<=.f64 x -1025729175095185/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (not (<=.f64 x -8717790067256469/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856))))) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(if (or (<=.f64 x -8028023020878397/2361183241434822606848) (and (not (<=.f64 x -1025729175095185/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632)) (<=.f64 x -8717790067256469/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856))) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(if (<=.f64 x -944473296573929/75557863725914323419136) (*.f64 x (neg.f64 y)) (if (<=.f64 x -4724570745892973/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) (log.f64 2) (if (<=.f64 x -8717790067256469/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (*.f64 x (neg.f64 y)) (log.f64 2))))
(if (or (<=.f64 x -944473296573929/75557863725914323419136) (not (or (<=.f64 x -4724570745892973/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528) (not (<=.f64 x -8717790067256469/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856))))) (*.f64 x (neg.f64 y)) (log.f64 2))
(if (or (<=.f64 x -944473296573929/75557863725914323419136) (and (not (<=.f64 x -4724570745892973/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528)) (<=.f64 x -8717790067256469/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856))) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)
Compiler

Compiled 100 to 73 computations (27% saved)

soundness202.0ms (1.7%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 18 to 10 computations (44.4% saved)

end51.0ms (0.4%)

Compiler

Compiled 88 to 52 computations (40.9% saved)

Profiling

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