Details

Time bar (total: 11.8s)

analyze243.0ms (2.1%)

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

Compiled 12 to 9 computations (25% saved)

sample3.8s (32.6%)

Results
2.4s2512×body8192exit
1.2s7791×body256valid
126.0ms231×body1024valid
68.0ms234×body512valid
24.0ms154×body256infinite
Bogosity

preprocess80.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 13 to 10 computations (23.1% saved)

simplify74.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 18 to 10 computations (44.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.5b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 19 to 6 computations (68.4% saved)

series44.0ms (0.4%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
22.0ms
x
@inf
(log1p.f64 (exp.f64 x))
18.0ms
x
@-inf
(log1p.f64 (exp.f64 x))
3.0ms
y
@0
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms
x
@0
(log1p.f64 (exp.f64 x))
0.0ms
x
@inf
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite61.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify81.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

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

eval18.0ms (0.2%)

Compiler

Compiled 1130 to 411 computations (63.6% saved)

prune17.0ms (0.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New72880
Fresh000
Picked011
Done000
Total72981
Error
0.2b
Counts
81 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
14.2b
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
20.9b
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
13.8b
(/.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))))))
1.1b
(-.f64 (-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1) (*.f64 x y))
0.5b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
7.0b
(-.f64 (log.f64 2) (*.f64 x y))
14.2b
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
14.3b
(*.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))))))
35.7b
(*.f64 x (neg.f64 y))
Compiler

Compiled 271 to 168 computations (38% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1) (*.f64 x y))
0.5b
(log1p.f64 (exp.f64 x))
0.7b
(exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
0.8b
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
Compiler

Compiled 40 to 13 computations (67.5% saved)

series44.0ms (0.4%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
27.0ms
x
@-inf
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
11.0ms
x
@inf
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
3.0ms
y
@0
(-.f64 (-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1) (*.f64 x y))
1.0ms
x
@0
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
0.0ms
x
@0
(exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))

rewrite103.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1102×*-commutative
916×associate-*r/
786×associate-*l/
776×distribute-lft-in
736×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01347
127245
2325645
Stop Event
node limit
Counts
3 → 284
Calls
Call 1
Inputs
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1) (*.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (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 (log1p.f64 (exp.f64 x)) 1)))) (#(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 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fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))))))

simplify140.0ms (1.2%)

Algorithm
egg-herbie
Rules
1386×associate-+r+
858×distribute-lft-in
794×distribute-rgt-in
748×associate-*r*
740×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
071219848
1201519650
Stop Event
node limit
Counts
332 → 462
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 (+.f64 1 (log.f64 2)) (*.f64 (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1 (log.f64 2)))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2))))) (*.f64 1/8 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (pow.f64 x 2))) (log.f64 2)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 (+.f64 1 (log.f64 2)) (*.f64 (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1 (log.f64 2)))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2))))) (*.f64 1/8 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (pow.f64 x 2))) (+.f64 (log.f64 2) (*.f64 (+.f64 (*.f64 1/6 (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 3))) (*.f64 3/8 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2))))) (+.f64 (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1 (log.f64 2)))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (+.f64 1 (log.f64 2)))) (*.f64 1/48 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 3))))) (*.f64 (+.f64 1 (log.f64 2)) (pow.f64 x 3))))))
(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)))
(+.f64 1 (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2)))
(+.f64 (*.f64 1/2 x) (+.f64 1 (+.f64 (log.f64 2) (*.f64 (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1 (log.f64 2)))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2))))) (*.f64 1/8 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (*.f64 (+.f64 1 (log.f64 2)) (pow.f64 x 2))))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 (+.f64 (*.f64 1/48 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 3))) (+.f64 (*.f64 1/6 (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 3))) (*.f64 3/8 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2))))) (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1 (log.f64 2)))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (+.f64 1 (log.f64 2)))))) (*.f64 (+.f64 1 (log.f64 2)) (pow.f64 x 3))) (+.f64 1 (+.f64 (log.f64 2) (*.f64 (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1 (log.f64 2)))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2))))) (*.f64 1/8 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (*.f64 (+.f64 1 (log.f64 2)) (pow.f64 x 2)))))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 (+.f64 1 (log.f64 2)) (*.f64 (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1 (log.f64 2)))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2))))) (*.f64 1/8 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (pow.f64 x 2))) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 (+.f64 1 (log.f64 2)) (*.f64 (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1 (log.f64 2)))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2))))) (*.f64 1/8 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (pow.f64 x 2))) (+.f64 (log.f64 2) (*.f64 (+.f64 (*.f64 1/6 (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 3))) (*.f64 3/8 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2))))) (+.f64 (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1 (log.f64 2)))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (+.f64 1 (log.f64 2)))) (*.f64 1/48 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 3))))) (*.f64 (+.f64 1 (log.f64 2)) (pow.f64 x 3))))))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) -1)
(+.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -1))
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) 1))
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) -2)
(+.f64 -1 (+.f64 1 (log1p.f64 (exp.f64 x))))
(+.f64 (+.f64 -1 (log1p.f64 (exp.f64 x))) 1)
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) -1) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x))))) (-.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (+.f64 1 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x))))))
(*.f64 (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2))) (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) -1) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) -1)) (log1p.f64 (exp.f64 x)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) -1) (-.f64 1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2))) (-.f64 0 (log1p.f64 (exp.f64 x))))
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(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))))
(/.f64 (sqrt.f64 (-.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) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))) (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))) (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))))
(/.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 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (*.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 x y) 2))) (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (*.f64 (+.f64 1 (*.f64 x y)) (+.f64 1 (*.f64 x y)))) (+.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x y)))
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x y) 3))) (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (-.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 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 3) (pow.f64 (pow.f64 (*.f64 x y) 2) 3)) (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 x y) 2)) (*.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) (pow.f64 (+.f64 1 (*.f64 x y)) 3)) (+.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (*.f64 (+.f64 1 (*.f64 x y)) (+.f64 1 (*.f64 x y)))) (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 1 (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 x y) 3) 3)) (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (+.f64 (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x y) 3))) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 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 1 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (*.f64 (+.f64 1 (*.f64 x y)) (+.f64 1 (*.f64 x y))))) (+.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x y)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3))) (-.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 1 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) (pow.f64 (+.f64 1 (*.f64 x y)) 3))) (+.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (*.f64 (+.f64 1 (*.f64 x y)) (+.f64 1 (*.f64 x y)))) (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 1 (*.f64 x y)))))
(/.f64 (*.f64 1 (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 1 (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 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) 1) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (*.f64 (+.f64 1 (*.f64 x y)) (+.f64 1 (*.f64 x y)))) 1) (+.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) 1) (-.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 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) (pow.f64 (+.f64 1 (*.f64 x y)) 3)) 1) (+.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (*.f64 (+.f64 1 (*.f64 x y)) (+.f64 1 (*.f64 x y)))) (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 1 (*.f64 x y)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) 1) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) 1) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (*.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 x y) 2))) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 3) (pow.f64 (pow.f64 (*.f64 x y) 2) 3)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 x y) 2)) (*.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x y) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 x y) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (+.f64 (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x y) 3))) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) 1) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 1 (+.f64 1 (log1p.f64 (exp.f64 x))) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (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 1/2 x) (+.f64 (*.f64 (+.f64 1 (log.f64 2)) (*.f64 (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1 (log.f64 2)))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2))))) (*.f64 1/8 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (pow.f64 x 2))) (log.f64 2)))
(fma.f64 1/2 x (fma.f64 (+.f64 (log.f64 2) 1) (*.f64 (fma.f64 1/2 (-.f64 (/.f64 1/4 (+.f64 (log.f64 2) 1)) (/.f64 1/4 (pow.f64 (+.f64 (log.f64 2) 1) 2))) (/.f64 1/8 (pow.f64 (+.f64 (log.f64 2) 1) 2))) (*.f64 x x)) (log.f64 2)))
(fma.f64 1/2 x (fma.f64 (+.f64 (log.f64 2) 1) (*.f64 x (*.f64 x (fma.f64 1/2 (+.f64 (/.f64 1/4 (+.f64 (log.f64 2) 1)) (/.f64 -1/4 (pow.f64 (+.f64 (log.f64 2) 1) 2))) (/.f64 1/8 (pow.f64 (+.f64 (log.f64 2) 1) 2))))) (log.f64 2)))
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(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))))
(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))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 1 (+.f64 1 (log1p.f64 (exp.f64 x))) (neg.f64 (+.f64 1 (*.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 (+.f64 1 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (neg.f64 (+.f64 1 (*.f64 x 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 (+.f64 1 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (neg.f64 (+.f64 1 (*.f64 x 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))

localize4.0ms (0%)

Compiler

Compiled 10 to 4 computations (60% saved)

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 24 to 17 computations (29.2% saved)

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))

rewrite76.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

simplify95.0ms (0.8%)

Algorithm
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
node limit
Counts
148 → 201
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(log.f64 2)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (*.f64 (-.f64 1/2 y) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (-.f64 1 (log.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (exp.f64 (log1p.f64 (log.f64 2)))) 1)
(-.f64 (+.f64 (log.f64 2) (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))) 1)
(*.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(*.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
(*.f64 (/.f64 1 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
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(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) 3) (pow.f64 (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))) 3))) (+.f64 (*.f64 (*.f64 (-.f64 1/2 y) x) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (*.f64 (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))) (-.f64 (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))))
(/.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) (/.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(/.f64 1 (/.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))) (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))) (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (/.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)))) (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))) (/.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (*.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 2) 3))) (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 1/2 y) x) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (*.f64 (log.f64 2) (pow.f64 (log.f64 2) 3))) (*.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) (+.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 3) (pow.f64 (pow.f64 (log.f64 2) 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))) (+.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (*.f64 (pow.f64 (log.f64 2) 3) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) 3) (pow.f64 (pow.f64 (log.f64 2) 2) 3)) (*.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) (+.f64 (*.f64 (*.f64 (-.f64 1/2 y) x) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (*.f64 (pow.f64 (log.f64 2) 2) (+.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))))
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(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)) (cbrt.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 1/2 y) x) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (*.f64 (log.f64 2) (pow.f64 (log.f64 2) 3))) (/.f64 1 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) 3) (pow.f64 (pow.f64 (log.f64 2) 2) 3)) (/.f64 1 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))) (+.f64 (*.f64 (*.f64 (-.f64 1/2 y) x) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (*.f64 (pow.f64 (log.f64 2) 2) (+.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (*.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 2) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 3) (pow.f64 (pow.f64 (log.f64 2) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))) (+.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (*.f64 (pow.f64 (log.f64 2) 3) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) 1) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (sqrt.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))) (sqrt.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) (cbrt.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))) (cbrt.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))) (-.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (log.f64 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) 1) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
(pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (neg.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 (-.f64 1/2 y)) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(+.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))
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(*.f64 (/.f64 x (-.f64 -1/2 y)) (fma.f64 y y -1/4))
(/.f64 (*.f64 (neg.f64 (-.f64 1/8 (pow.f64 y 3))) x) (+.f64 -1/4 (neg.f64 (*.f64 y (+.f64 1/2 y)))))
(/.f64 x (/.f64 (-.f64 -1/4 (*.f64 y (+.f64 1/2 y))) (neg.f64 (-.f64 1/8 (pow.f64 y 3)))))
(*.f64 (/.f64 (+.f64 -1/8 (pow.f64 y 3)) (fma.f64 y (-.f64 -1/2 y) -1/4)) x)
(*.f64 (/.f64 (+.f64 (pow.f64 y 3) -1/8) (fma.f64 y (-.f64 -1/2 y) -1/4)) x)
(/.f64 (*.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 1) (+.f64 1/2 y))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(/.f64 (*.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) 1) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(*.f64 (/.f64 (-.f64 1/8 (pow.f64 y 3)) (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))) x)
(*.f64 x (/.f64 (-.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 1/2 y) 1/4)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/8 (pow.f64 y 3))) (*.f64 x (sqrt.f64 (-.f64 1/2 y)))) (sqrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/8 (pow.f64 y 3)))) (sqrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (fma.f64 y (+.f64 1/2 y) 1/4))) (sqrt.f64 (-.f64 1/8 (pow.f64 y 3))))
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 y (+.f64 1/2 y) 1/4))) (*.f64 (sqrt.f64 (-.f64 1/2 y)) (sqrt.f64 (-.f64 1/8 (pow.f64 y 3)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (*.f64 x (sqrt.f64 (-.f64 1/2 y)))) (sqrt.f64 (+.f64 1/2 y)))
(/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (/.f64 (sqrt.f64 (+.f64 1/2 y)) (*.f64 x (sqrt.f64 (-.f64 1/2 y)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (sqrt.f64 (+.f64 1/2 y))) (*.f64 x (sqrt.f64 (-.f64 1/2 y))))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (+.f64 1/2 y))) (sqrt.f64 (-.f64 1/4 (*.f64 y y))))
(/.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 1) (+.f64 1/2 y))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(/.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (sqrt.f64 (+.f64 1/2 y))) (sqrt.f64 (+.f64 1/2 y)))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(/.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (*.f64 (cbrt.f64 (+.f64 1/2 y)) (cbrt.f64 (+.f64 1/2 y)))) (cbrt.f64 (+.f64 1/2 y)))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
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(*.f64 (/.f64 (-.f64 1/8 (pow.f64 y 3)) (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))) x)
(*.f64 x (/.f64 (-.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 1/2 y) 1/4)))
(/.f64 (/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (sqrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))) (sqrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
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(*.f64 (/.f64 (-.f64 1/8 (pow.f64 y 3)) (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))) x)
(*.f64 x (/.f64 (-.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 1/2 y) 1/4)))
(pow.f64 (*.f64 (-.f64 1/2 y) x) 1)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/3)
(*.f64 x (-.f64 1/2 y))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(fabs.f64 (*.f64 x (-.f64 1/2 y)))
(log.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x))
(*.f64 x (-.f64 1/2 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))
(*.f64 x (-.f64 1/2 y))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))
(*.f64 x (-.f64 1/2 y))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 x (-.f64 1/2 y))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 x (-.f64 1/2 y))

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.5b
(log1p.f64 (exp.f64 x))
0.7b
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3)
12.9b
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
Compiler

Compiled 41 to 14 computations (65.9% saved)

series18.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
3.0ms
x
@0
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
3.0ms
x
@inf
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
2.0ms
x
@-inf
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
2.0ms
y
@0
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)

rewrite119.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1022×*-commutative
988×unswap-sqr
650×swap-sqr
640×distribute-lft-in
630×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01348
128748
2320248
Stop Event
node limit
Counts
2 → 309
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3)
Outputs
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simplify275.0ms (2.3%)

Algorithm
egg-herbie
Rules
1270×associate-/l*
1058×distribute-lft-in
1016×associate-+l+
900×+-commutative
894×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0102734543
1323033159
Stop Event
node limit
Counts
357 → 552
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (*.f64 x (+.f64 (*.f64 (log.f64 2) (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y)))))))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 (-.f64 1/2 y) (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 1/4 (log.f64 2))) (log.f64 2)) (*.f64 1/8 (pow.f64 (log.f64 2) 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (pow.f64 (+.f64 (*.f64 (log.f64 2) (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (*.f64 (-.f64 1/2 y) (pow.f64 (log.f64 2) 2))) 2)))) (pow.f64 x 2)) (pow.f64 (log.f64 2) 2))) (+.f64 (log.f64 2) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (*.f64 x (+.f64 (*.f64 (log.f64 2) (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y))))))))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 (-.f64 1/2 y) (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 1/4 (log.f64 2))) (log.f64 2)) (*.f64 1/8 (pow.f64 (log.f64 2) 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (pow.f64 (+.f64 (*.f64 (log.f64 2) (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (*.f64 (-.f64 1/2 y) (pow.f64 (log.f64 2) 2))) 2)))) (pow.f64 x 2)) (pow.f64 (log.f64 2) 2))) (+.f64 (log.f64 2) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (*.f64 x (+.f64 (*.f64 (log.f64 2) (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y)))))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/8 (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 1/4 (log.f64 2))) (-.f64 1/2 y)) (*.f64 1/4 (*.f64 (-.f64 1/2 y) (log.f64 2))))) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/3) (*.f64 (-.f64 (+.f64 (*.f64 (-.f64 1/2 y) (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 1/4 (log.f64 2))) (log.f64 2)) (*.f64 1/8 (pow.f64 (log.f64 2) 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (pow.f64 (+.f64 (*.f64 (log.f64 2) (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y))) 2)))) (+.f64 (*.f64 (log.f64 2) (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (*.f64 (-.f64 1/2 y) (pow.f64 (log.f64 2) 2)))))) (*.f64 1/27 (/.f64 (pow.f64 (+.f64 (*.f64 (log.f64 2) (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (*.f64 (-.f64 1/2 y) (pow.f64 (log.f64 2) 2))) 3) (pow.f64 (log.f64 2) 2))))) (pow.f64 x 3)) (pow.f64 (log.f64 2) 2))))))
(*.f64 y (*.f64 (cbrt.f64 -1) x))
(+.f64 (*.f64 1/3 (*.f64 (+.f64 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))) (*.f64 2 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))))) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3))) (*.f64 y (*.f64 (cbrt.f64 -1) x)))
(+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 -2 (*.f64 y (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2))) (*.f64 -1 (*.f64 y (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)))) (*.f64 1/3 (*.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))) (*.f64 2 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))))) 2) (pow.f64 (/.f64 1 (*.f64 y (cbrt.f64 -1))) 1/3)))) (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 (cbrt.f64 -1) 2) x)))) (+.f64 (*.f64 1/3 (*.f64 (+.f64 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))) (*.f64 2 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))))) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3))) (*.f64 y (*.f64 (cbrt.f64 -1) x))))
(+.f64 (*.f64 1/3 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3) (+.f64 (*.f64 2/3 (*.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))) (*.f64 2 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))))) (-.f64 (+.f64 (*.f64 -2 (*.f64 y (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2))) (*.f64 -1 (*.f64 y (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)))) (*.f64 1/3 (*.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))) (*.f64 2 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))))) 2) (pow.f64 (/.f64 1 (*.f64 y (cbrt.f64 -1))) 1/3))))) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 5) (pow.f64 (cbrt.f64 -1) 5))) 1/3))) (*.f64 1/27 (/.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))) (*.f64 2 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))))) 3) (*.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 -1) 2)))))) (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2))))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 -2 (*.f64 y (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2))) (*.f64 -1 (*.f64 y (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)))) (*.f64 1/3 (*.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))) (*.f64 2 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))))) 2) (pow.f64 (/.f64 1 (*.f64 y (cbrt.f64 -1))) 1/3)))) (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 (cbrt.f64 -1) 2) x)))) (+.f64 (*.f64 1/3 (*.f64 (+.f64 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))) (*.f64 2 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))))) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3))) (*.f64 y (*.f64 (cbrt.f64 -1) x)))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/3 (*.f64 (+.f64 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))) (*.f64 2 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))))) (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3))) (*.f64 -1 (*.f64 y x)))
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(+.f64 (*.f64 1/3 (*.f64 (+.f64 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))) (*.f64 2 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))))) (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3) (+.f64 (*.f64 2/3 (*.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))) (*.f64 2 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))))) (-.f64 (+.f64 (*.f64 y (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) (*.f64 2 (*.f64 y (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)))) (*.f64 1/3 (*.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))) (*.f64 2 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))))) 2) (pow.f64 (/.f64 1 y) 1/3))))) (pow.f64 (/.f64 1 (pow.f64 y 5)) 1/3))) (*.f64 1/27 (/.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))) (*.f64 2 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))))) 3) (pow.f64 y 2))))) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (+.f64 (*.f64 y (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) (*.f64 2 (*.f64 y (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)))) (*.f64 1/3 (*.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))) (*.f64 2 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))))) 2) (pow.f64 (/.f64 1 y) 1/3)))) (*.f64 (pow.f64 y 2) x))) (*.f64 -1 (*.f64 y x)))))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/3) (*.f64 y (+.f64 (*.f64 -1 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) x)) (*.f64 -2 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) x)))))))
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(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 5)) 1/3) (*.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) x)) (*.f64 -1 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) x))) (-.f64 (+.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) (pow.f64 x 2))) (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) (pow.f64 x 2))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) 1/3) (pow.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) x)) (*.f64 -2 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) x))) 2))))))) (*.f64 1/27 (/.f64 (pow.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) x)) (*.f64 -1 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) x))) 3) (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)))))) (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) (pow.f64 x 2))) (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) (pow.f64 x 2))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))) 1/3) (pow.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) x)) (*.f64 -1 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) x))) 2)))) (pow.f64 y 2)) (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2))) (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)) 1/3) (*.f64 y (+.f64 (*.f64 -1 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) x)) (*.f64 -2 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) x)))))))))
(*.f64 y (*.f64 (cbrt.f64 -1) x))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2))) 1/3) (+.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) (pow.f64 x 2)) (*.f64 2 (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) (pow.f64 x 2)))))) (*.f64 y (*.f64 (cbrt.f64 -1) x)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2))) 1/3) (+.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) (pow.f64 x 2)) (*.f64 2 (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) (pow.f64 x 2)))))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) x)) (*.f64 -1 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) x))) (*.f64 1/3 (*.f64 (pow.f64 (+.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) (pow.f64 x 2))) (*.f64 (log.f64 (+.f64 1 (exp.f64 x))) (pow.f64 x 2))) 2) (pow.f64 (/.f64 1 (*.f64 (cbrt.f64 -1) x)) 1/3)))) (*.f64 y (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2))))) (*.f64 y (*.f64 (cbrt.f64 -1) x))))
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(*.f64 -1 (*.f64 y x))
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(log.f64 (exp.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3)))
(exp.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3)))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (*.f64 x (+.f64 (*.f64 (log.f64 2) (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y)))))))
(+.f64 (log.f64 2) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (*.f64 x (fma.f64 (log.f64 2) (fma.f64 (log.f64 2) (-.f64 1/2 y) (*.f64 (log.f64 2) (-.f64 1/2 y))) (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y))))))
(+.f64 (log.f64 2) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (*.f64 x (fma.f64 (log.f64 2) (*.f64 2 (*.f64 (log.f64 2) (-.f64 1/2 y))) (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y))))))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 (-.f64 1/2 y) (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 1/4 (log.f64 2))) (log.f64 2)) (*.f64 1/8 (pow.f64 (log.f64 2) 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (pow.f64 (+.f64 (*.f64 (log.f64 2) (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (*.f64 (-.f64 1/2 y) (pow.f64 (log.f64 2) 2))) 2)))) (pow.f64 x 2)) (pow.f64 (log.f64 2) 2))) (+.f64 (log.f64 2) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (*.f64 x (+.f64 (*.f64 (log.f64 2) (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y))))))))
(fma.f64 1/3 (/.f64 (*.f64 (*.f64 x x) (+.f64 (fma.f64 (-.f64 1/2 y) (fma.f64 (log.f64 2) (-.f64 1/2 y) (*.f64 (log.f64 2) (-.f64 1/2 y))) (fma.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (log.f64 2) 1/4)) (log.f64 2) (*.f64 (pow.f64 (log.f64 2) 2) 1/8))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 2))) (pow.f64 (fma.f64 (log.f64 2) (fma.f64 (log.f64 2) (-.f64 1/2 y) (*.f64 (log.f64 2) (-.f64 1/2 y))) (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y))) 2))))) (pow.f64 (log.f64 2) 2)) (+.f64 (log.f64 2) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (*.f64 x (fma.f64 (log.f64 2) (fma.f64 (log.f64 2) (-.f64 1/2 y) (*.f64 (log.f64 2) (-.f64 1/2 y))) (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y)))))))
(fma.f64 1/3 (*.f64 (/.f64 (+.f64 (fma.f64 (-.f64 1/2 y) (*.f64 2 (*.f64 (log.f64 2) (-.f64 1/2 y))) (fma.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (log.f64 2) 1/4)) (log.f64 2) (*.f64 (pow.f64 (log.f64 2) 2) 1/8))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 2))) (pow.f64 (fma.f64 (log.f64 2) (*.f64 2 (*.f64 (log.f64 2) (-.f64 1/2 y))) (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y))) 2)))) (pow.f64 (log.f64 2) 2)) (*.f64 x x)) (+.f64 (log.f64 2) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (*.f64 x (fma.f64 (log.f64 2) (*.f64 2 (*.f64 (log.f64 2) (-.f64 1/2 y))) (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y)))))))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 (-.f64 1/2 y) (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 1/4 (log.f64 2))) (log.f64 2)) (*.f64 1/8 (pow.f64 (log.f64 2) 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (pow.f64 (+.f64 (*.f64 (log.f64 2) (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (*.f64 (-.f64 1/2 y) (pow.f64 (log.f64 2) 2))) 2)))) (pow.f64 x 2)) (pow.f64 (log.f64 2) 2))) (+.f64 (log.f64 2) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (*.f64 x (+.f64 (*.f64 (log.f64 2) (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y)))))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/8 (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 1/4 (log.f64 2))) (-.f64 1/2 y)) (*.f64 1/4 (*.f64 (-.f64 1/2 y) (log.f64 2))))) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/3) (*.f64 (-.f64 (+.f64 (*.f64 (-.f64 1/2 y) (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 1/4 (log.f64 2))) (log.f64 2)) (*.f64 1/8 (pow.f64 (log.f64 2) 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (pow.f64 (+.f64 (*.f64 (log.f64 2) (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y))) 2)))) (+.f64 (*.f64 (log.f64 2) (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (*.f64 (-.f64 1/2 y) (pow.f64 (log.f64 2) 2)))))) (*.f64 1/27 (/.f64 (pow.f64 (+.f64 (*.f64 (log.f64 2) (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (*.f64 (-.f64 1/2 y) (pow.f64 (log.f64 2) 2))) 3) (pow.f64 (log.f64 2) 2))))) (pow.f64 x 3)) (pow.f64 (log.f64 2) 2))))))
(fma.f64 1/3 (/.f64 (*.f64 (*.f64 x x) (+.f64 (fma.f64 (-.f64 1/2 y) (fma.f64 (log.f64 2) (-.f64 1/2 y) (*.f64 (log.f64 2) (-.f64 1/2 y))) (fma.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (log.f64 2) 1/4)) (log.f64 2) (*.f64 (pow.f64 (log.f64 2) 2) 1/8))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 2))) (pow.f64 (fma.f64 (log.f64 2) (fma.f64 (log.f64 2) (-.f64 1/2 y) (*.f64 (log.f64 2) (-.f64 1/2 y))) (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y))) 2))))) (pow.f64 (log.f64 2) 2)) (+.f64 (log.f64 2) (*.f64 1/3 (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (*.f64 x (fma.f64 (log.f64 2) (fma.f64 (log.f64 2) (-.f64 1/2 y) (*.f64 (log.f64 2) (-.f64 1/2 y))) (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y))))) (/.f64 (-.f64 (fma.f64 1/8 (fma.f64 (log.f64 2) (-.f64 1/2 y) (*.f64 (log.f64 2) (-.f64 1/2 y))) (fma.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (log.f64 2) 1/4)) (-.f64 1/2 y) (*.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) 1/4))) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 5))) (*.f64 (fma.f64 (log.f64 2) (fma.f64 (log.f64 2) (-.f64 1/2 y) (*.f64 (log.f64 2) (-.f64 1/2 y))) (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y))) (+.f64 (fma.f64 (-.f64 1/2 y) (fma.f64 (log.f64 2) (-.f64 1/2 y) (*.f64 (log.f64 2) (-.f64 1/2 y))) (fma.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (log.f64 2) 1/4)) (log.f64 2) (*.f64 (pow.f64 (log.f64 2) 2) 1/8))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 2))) (pow.f64 (fma.f64 (log.f64 2) (fma.f64 (log.f64 2) (-.f64 1/2 y) (*.f64 (log.f64 2) (-.f64 1/2 y))) (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y))) 2)))))) (*.f64 1/27 (/.f64 (pow.f64 (fma.f64 (log.f64 2) (fma.f64 (log.f64 2) (-.f64 1/2 y) (*.f64 (log.f64 2) (-.f64 1/2 y))) (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y))) 3) (pow.f64 (log.f64 2) 2))))) (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 3)))))))
(fma.f64 1/3 (*.f64 (/.f64 (+.f64 (fma.f64 (-.f64 1/2 y) (*.f64 2 (*.f64 (log.f64 2) (-.f64 1/2 y))) (fma.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (log.f64 2) 1/4)) (log.f64 2) (*.f64 (pow.f64 (log.f64 2) 2) 1/8))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 2))) (pow.f64 (fma.f64 (log.f64 2) (*.f64 2 (*.f64 (log.f64 2) (-.f64 1/2 y))) (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y))) 2)))) (pow.f64 (log.f64 2) 2)) (*.f64 x x)) (+.f64 (log.f64 2) (*.f64 1/3 (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (*.f64 x (fma.f64 (log.f64 2) (*.f64 2 (*.f64 (log.f64 2) (-.f64 1/2 y))) (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y))))) (*.f64 (/.f64 (-.f64 (fma.f64 1/8 (*.f64 2 (*.f64 (log.f64 2) (-.f64 1/2 y))) (fma.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (log.f64 2) 1/4)) (-.f64 1/2 y) (*.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) 1/4))) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 5))) (*.f64 (fma.f64 (log.f64 2) (*.f64 2 (*.f64 (log.f64 2) (-.f64 1/2 y))) (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y))) (+.f64 (fma.f64 (-.f64 1/2 y) (*.f64 2 (*.f64 (log.f64 2) (-.f64 1/2 y))) (fma.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (log.f64 2) 1/4)) (log.f64 2) (*.f64 (pow.f64 (log.f64 2) 2) 1/8))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 2))) (pow.f64 (fma.f64 (log.f64 2) (*.f64 2 (*.f64 (log.f64 2) (-.f64 1/2 y))) (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y))) 2)))))) (*.f64 1/27 (/.f64 (pow.f64 (fma.f64 (log.f64 2) (*.f64 2 (*.f64 (log.f64 2) (-.f64 1/2 y))) (*.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y))) 3) (pow.f64 (log.f64 2) 2))))) (pow.f64 (log.f64 2) 2)) (pow.f64 x 3))))))
(*.f64 y (*.f64 (cbrt.f64 -1) x))
(*.f64 y (*.f64 x (cbrt.f64 -1)))
(+.f64 (*.f64 1/3 (*.f64 (+.f64 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))) (*.f64 2 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))))) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3))) (*.f64 y (*.f64 (cbrt.f64 -1) x)))
(fma.f64 1/3 (*.f64 (*.f64 3 (*.f64 (*.f64 y y) (log1p.f64 (exp.f64 x)))) (cbrt.f64 (/.f64 1 (*.f64 (*.f64 y y) (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 y (*.f64 x (cbrt.f64 -1))))
(+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 -2 (*.f64 y (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2))) (*.f64 -1 (*.f64 y (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2)))) (*.f64 1/3 (*.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))) (*.f64 2 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))))) 2) (pow.f64 (/.f64 1 (*.f64 y (cbrt.f64 -1))) 1/3)))) (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 (cbrt.f64 -1) 2) x)))) (+.f64 (*.f64 1/3 (*.f64 (+.f64 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))) (*.f64 2 (*.f64 (pow.f64 y 2) (log.f64 (+.f64 1 (exp.f64 x)))))) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3))) (*.f64 y (*.f64 (cbrt.f64 -1) x))))
(fma.f64 1/3 (/.f64 (+.f64 (*.f64 (*.f64 y (pow.f64 (log1p.f64 (exp.f64 x)) 2)) -3) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 3 (*.f64 (*.f64 y y) (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (/.f64 1 (*.f64 y (cbrt.f64 -1))))))) (*.f64 (*.f64 y y) (*.f64 x (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 1/3 (*.f64 (*.f64 3 (*.f64 (*.f64 y y) (log1p.f64 (exp.f64 x)))) (cbrt.f64 (/.f64 1 (*.f64 (*.f64 y y) (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 y (*.f64 x (cbrt.f64 -1)))))
(fma.f64 1/3 (/.f64 (+.f64 (*.f64 (*.f64 y (pow.f64 (log1p.f64 (exp.f64 x)) 2)) -3) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 3 (*.f64 (*.f64 y y) (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (/.f64 (/.f64 1 y) (cbrt.f64 -1)))))) (*.f64 (*.f64 y y) (*.f64 x (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 1/3 (*.f64 (*.f64 3 (*.f64 (*.f64 y y) (log1p.f64 (exp.f64 x)))) (cbrt.f64 (/.f64 1 (*.f64 (*.f64 y y) (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 y (*.f64 x (cbrt.f64 -1)))))
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(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (-.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) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (/.f64 (/.f64 (*.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)) 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 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 (*.f64 (*.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 (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 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2)))
(*.f64 (/.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))) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(/.f64 (*.f64 (*.f64 (-.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 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (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)) 2))
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.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 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (/.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 (+.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 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (+.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 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) 1) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2)))
(*.f64 (/.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))) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (/.f64 (*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.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 (*.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (/.f64 (*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (cbrt.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 (*.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.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)) 2))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 (sqrt.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)) 2))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 6))
(log.f64 (exp.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3)))
(fma.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (*.f64 (*.f64 x (neg.f64 y)) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2)))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))))
(fma.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (*.f64 (*.f64 x (neg.f64 y)) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2)))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 3))
(fma.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (*.f64 (*.f64 x (neg.f64 y)) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2)))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3)))
(fma.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (*.f64 (*.f64 x (neg.f64 y)) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2)))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3)
(exp.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(pow.f64 (exp.f64 3) (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3)))
(fma.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (*.f64 (*.f64 x (neg.f64 y)) (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2)))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3)

localize60.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(log1p.f64 (exp.f64 x))
0.7b
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
0.7b
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
13.0b
(/.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))))))
Compiler

Compiled 141 to 34 computations (75.9% saved)

series7.0ms (0.1%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/.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))))))
1.0ms
x
@inf
(/.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))))))
1.0ms
x
@-inf
(/.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))))))
1.0ms
y
@inf
(/.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))))))
1.0ms
y
@0
(/.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))))))

rewrite98.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
996×associate-+l+
486×associate-+r+
476×add-sqr-sqrt
462×*-un-lft-identity
454×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020133
147451
2704451
Stop Event
node limit
Counts
3 → 85
Calls
Call 1
Inputs
(/.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))))))
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) 1)))) (#(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 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (/.f64 1 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log1p.f64 (exp.f64 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simplify128.0ms (1.1%)

Algorithm
egg-herbie
Rules
1144×associate-+r+
1082×associate-+l+
874×+-commutative
774×associate-*r/
654×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03456693
110066181
242616169
Stop Event
node limit
Counts
133 → 211
Calls
Call 1
Inputs
(log.f64 2)
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(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))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 3) (pow.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 3)))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.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 y))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 1)
(*.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1)
(*.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 3/2))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))))
(*.f64 (*.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(exp.f64 (*.f64 2 (log.f64 (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log1p.f64 (exp.f64 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) 1)
(*.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1)
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x)))
(*.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) (pow.f64 (log1p.f64 (exp.f64 x)) 3/2))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4)) (*.f64 (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) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(*.f64 (*.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (neg.f64 y)) x))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 (-.f64 (+.f64 1/8 (+.f64 (*.f64 1/2 (/.f64 1 (log.f64 2))) (*.f64 -1/2 (/.f64 y (log.f64 2))))) (+.f64 (/.f64 (*.f64 (-.f64 (log.f64 2) (*.f64 -1 (*.f64 y (log.f64 2)))) (+.f64 1/2 (*.f64 -1 y))) (pow.f64 (log.f64 2) 2)) (/.f64 (pow.f64 y 2) (log.f64 2)))) (pow.f64 x 2)) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x)))
(+.f64 (log.f64 2) (fma.f64 (+.f64 1/8 (-.f64 (+.f64 (/.f64 1/2 (log.f64 2)) (/.f64 (*.f64 y -1/2) (log.f64 2))) (+.f64 (/.f64 (-.f64 (log.f64 2) (*.f64 (neg.f64 y) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 1/2 (neg.f64 y)))) (/.f64 (*.f64 y y) (log.f64 2))))) (*.f64 x x) (*.f64 (+.f64 1/2 (neg.f64 y)) x)))
(+.f64 (log.f64 2) (fma.f64 (-.f64 1/2 y) x (*.f64 x (*.f64 x (+.f64 1/8 (-.f64 (-.f64 (fma.f64 -1/2 (/.f64 y (log.f64 2)) (/.f64 1/2 (log.f64 2))) (/.f64 y (/.f64 (log.f64 2) y))) (/.f64 (-.f64 1/2 y) (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (*.f64 (log.f64 2) y))))))))))
(+.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) (*.f64 x (*.f64 x (+.f64 1/8 (-.f64 (-.f64 (fma.f64 -1/2 (/.f64 y (log.f64 2)) (/.f64 1/2 (log.f64 2))) (/.f64 (-.f64 1/2 y) (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (*.f64 (log.f64 2) y))))) (/.f64 y (/.f64 (log.f64 2) y)))))))
(+.f64 (log.f64 2) (+.f64 (*.f64 (-.f64 (+.f64 1/8 (+.f64 (*.f64 1/2 (/.f64 1 (log.f64 2))) (*.f64 -1/2 (/.f64 y (log.f64 2))))) (+.f64 (/.f64 (*.f64 (-.f64 (log.f64 2) (*.f64 -1 (*.f64 y (log.f64 2)))) (+.f64 1/2 (*.f64 -1 y))) (pow.f64 (log.f64 2) 2)) (/.f64 (pow.f64 y 2) (log.f64 2)))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 1/2 (*.f64 -1 y)) x) (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 (log.f64 2) 2))) (+.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1/4 (*.f64 1/4 (log.f64 2))) (pow.f64 (log.f64 2) 2))) (*.f64 -1/8 (/.f64 y (log.f64 2)))))) (+.f64 (/.f64 (*.f64 (-.f64 (log.f64 2) (*.f64 -1 (*.f64 y (log.f64 2)))) (-.f64 (+.f64 1/8 (+.f64 (*.f64 1/2 (/.f64 1 (log.f64 2))) (*.f64 -1/2 (/.f64 y (log.f64 2))))) (+.f64 (/.f64 (*.f64 (-.f64 (log.f64 2) (*.f64 -1 (*.f64 y (log.f64 2)))) (+.f64 1/2 (*.f64 -1 y))) (pow.f64 (log.f64 2) 2)) (/.f64 (pow.f64 y 2) (log.f64 2))))) (pow.f64 (log.f64 2) 2)) (+.f64 (*.f64 1/8 (/.f64 1 (log.f64 2))) (/.f64 (*.f64 (-.f64 (+.f64 1/4 (+.f64 (pow.f64 y 2) (*.f64 1/4 (log.f64 2)))) (*.f64 -1/2 y)) (+.f64 1/2 (*.f64 -1 y))) (pow.f64 (log.f64 2) 2))))) (pow.f64 x 3)))))
(+.f64 (log.f64 2) (fma.f64 (+.f64 1/8 (-.f64 (+.f64 (/.f64 1/2 (log.f64 2)) (/.f64 (*.f64 y -1/2) (log.f64 2))) (+.f64 (/.f64 (-.f64 (log.f64 2) (*.f64 (neg.f64 y) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 1/2 (neg.f64 y)))) (/.f64 (*.f64 y y) (log.f64 2))))) (*.f64 x x) (fma.f64 (+.f64 1/2 (neg.f64 y)) x (*.f64 (-.f64 (-.f64 (fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 (log.f64 2) 2)) (+.f64 (/.f64 1/4 (log.f64 2)) (fma.f64 1/2 (/.f64 (+.f64 1/4 (*.f64 (log.f64 2) 1/4)) (pow.f64 (log.f64 2) 2)) (/.f64 (*.f64 -1/8 y) (log.f64 2))))) (/.f64 (-.f64 (log.f64 2) (*.f64 (neg.f64 y) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 1/8 (-.f64 (+.f64 (/.f64 1/2 (log.f64 2)) (/.f64 (*.f64 y -1/2) (log.f64 2))) (+.f64 (/.f64 (-.f64 (log.f64 2) (*.f64 (neg.f64 y) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 1/2 (neg.f64 y)))) (/.f64 (*.f64 y y) (log.f64 2)))))))) (+.f64 (/.f64 1/8 (log.f64 2)) (/.f64 (+.f64 (+.f64 (+.f64 1/4 (*.f64 y y)) (*.f64 (log.f64 2) 1/4)) (*.f64 1/2 y)) (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 1/2 (neg.f64 y)))))) (pow.f64 x 3)))))
(+.f64 (log.f64 2) (fma.f64 (+.f64 1/8 (-.f64 (-.f64 (fma.f64 -1/2 (/.f64 y (log.f64 2)) (/.f64 1/2 (log.f64 2))) (/.f64 y (/.f64 (log.f64 2) y))) (/.f64 (-.f64 1/2 y) (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (*.f64 (log.f64 2) y)))))) (*.f64 x x) (fma.f64 (-.f64 1/2 y) x (*.f64 (-.f64 (-.f64 (-.f64 (+.f64 (/.f64 1/4 (log.f64 2)) (fma.f64 (/.f64 y (log.f64 2)) -1/8 (/.f64 (+.f64 1/8 (*.f64 (log.f64 2) 1/8)) (pow.f64 (log.f64 2) 2)))) (/.f64 (pow.f64 y 3) (pow.f64 (log.f64 2) 2))) (*.f64 (/.f64 (+.f64 (log.f64 2) (*.f64 (log.f64 2) y)) (pow.f64 (log.f64 2) 2)) (+.f64 1/8 (-.f64 (-.f64 (fma.f64 -1/2 (/.f64 y (log.f64 2)) (/.f64 1/2 (log.f64 2))) (/.f64 y (/.f64 (log.f64 2) y))) (/.f64 (-.f64 1/2 y) (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (*.f64 (log.f64 2) y)))))))) (+.f64 (/.f64 1/8 (log.f64 2)) (*.f64 (/.f64 (+.f64 1/4 (+.f64 (fma.f64 (log.f64 2) 1/4 (*.f64 y y)) (*.f64 1/2 y))) (pow.f64 (log.f64 2) 2)) (-.f64 1/2 y)))) (pow.f64 x 3)))))
(+.f64 (log.f64 2) (fma.f64 (+.f64 1/8 (-.f64 (-.f64 (fma.f64 -1/2 (/.f64 y (log.f64 2)) (/.f64 1/2 (log.f64 2))) (/.f64 (-.f64 1/2 y) (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (*.f64 (log.f64 2) y))))) (/.f64 y (/.f64 (log.f64 2) y)))) (*.f64 x x) (fma.f64 (-.f64 1/2 y) x (*.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 y (log.f64 2)) -1/8 (/.f64 (+.f64 1/8 (*.f64 (log.f64 2) 1/8)) (pow.f64 (log.f64 2) 2))) (-.f64 (/.f64 1/4 (log.f64 2)) (/.f64 (pow.f64 y 3) (pow.f64 (log.f64 2) 2)))) (*.f64 (/.f64 (+.f64 (log.f64 2) (*.f64 (log.f64 2) y)) (pow.f64 (log.f64 2) 2)) (+.f64 1/8 (-.f64 (-.f64 (fma.f64 -1/2 (/.f64 y (log.f64 2)) (/.f64 1/2 (log.f64 2))) (/.f64 (-.f64 1/2 y) (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (*.f64 (log.f64 2) y))))) (/.f64 y (/.f64 (log.f64 2) y)))))) (+.f64 (/.f64 1/8 (log.f64 2)) (/.f64 (+.f64 (*.f64 y y) (+.f64 (fma.f64 (log.f64 2) 1/4 1/4) (*.f64 1/2 y))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 1/2 y))))) (pow.f64 x 3)))))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) y)) (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) y)) x)) (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x))))
(fma.f64 -1 (/.f64 (*.f64 0 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) y)) x) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) (/.f64 0 x))
(+.f64 (log1p.f64 (exp.f64 x)) (-.f64 (/.f64 0 x) (*.f64 y x)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) y)) (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) y)) x)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) y)) (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) y)) (log.f64 (+.f64 1 (exp.f64 x)))) (*.f64 y (pow.f64 x 2))) (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))))
(fma.f64 -1 (/.f64 (*.f64 0 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) y)) x) (+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) (*.f64 (/.f64 (*.f64 0 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) y)) y) (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 x x)))))
(+.f64 (/.f64 0 x) (-.f64 (fma.f64 (/.f64 0 y) (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 x x)) (log1p.f64 (exp.f64 x))) (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (*.f64 y x)) (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (*.f64 y x))) (*.f64 -1 (*.f64 y x)))))
(+.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) y) x) (log1p.f64 (exp.f64 x))) (fma.f64 -1 (/.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) y) x) (*.f64 (neg.f64 y) x)))
(+.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) x) y) (-.f64 (-.f64 (log1p.f64 (exp.f64 x)) (/.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) x) y)) (*.f64 y x)))
(-.f64 (-.f64 (log1p.f64 (exp.f64 x)) (/.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) y) x)) (-.f64 (*.f64 y x) (/.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) y) x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) y)) (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) y)) (log.f64 (+.f64 1 (exp.f64 x)))) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (*.f64 y x)) (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 2) (*.f64 y x))) (*.f64 -1 (*.f64 y x))))))
(fma.f64 -1 (*.f64 (/.f64 (*.f64 0 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) y)) y) (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 x x))) (+.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) y) x) (log1p.f64 (exp.f64 x))) (fma.f64 -1 (/.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) y) x) (*.f64 (neg.f64 y) x))))
(+.f64 (*.f64 (/.f64 0 (*.f64 y (*.f64 x x))) (log1p.f64 (exp.f64 x))) (+.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) x) y) (-.f64 (-.f64 (log1p.f64 (exp.f64 x)) (/.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) x) y)) (*.f64 y x))))
(-.f64 (-.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) y) x) (fma.f64 (/.f64 0 y) (/.f64 (log1p.f64 (exp.f64 x)) (*.f64 x x)) (log1p.f64 (exp.f64 x)))) (/.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) y) x)) (*.f64 y x))
(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 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (+.f64 (*.f64 -1 (*.f64 y x)) (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (/.f64 (pow.f64 x 2) (log.f64 (+.f64 1 (exp.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 x 2) (log.f64 (+.f64 1 (exp.f64 x))))))))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) (neg.f64 (*.f64 (*.f64 y y) (*.f64 0 (/.f64 (*.f64 x x) (log1p.f64 (exp.f64 x)))))))
(fma.f64 -1 (fma.f64 y x (*.f64 (*.f64 y y) 0)) (log1p.f64 (exp.f64 x)))
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(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 y x) 6) (pow.f64 (log1p.f64 (exp.f64 x)) 6))) (hypot.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (log1p.f64 (exp.f64 x))))))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 y x) 3))) (hypot.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (log1p.f64 (exp.f64 x))))))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 y x) 6) (pow.f64 (log1p.f64 (exp.f64 x)) 6))) (hypot.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (*.f64 x (*.f64 y (-.f64 (*.f64 y x) (log1p.f64 (exp.f64 x)))))))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 y x) 3))) (hypot.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (*.f64 x (*.f64 y (-.f64 (*.f64 y x) (log1p.f64 (exp.f64 x)))))))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x y) 6) (pow.f64 (log1p.f64 (exp.f64 x)) 6))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 2)) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 y x) 6) (pow.f64 (log1p.f64 (exp.f64 x)) 6))) (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 2))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 y x) 6) (pow.f64 (log1p.f64 (exp.f64 x)) 6))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y (-.f64 (*.f64 y x) (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 2) (cbrt.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))))))
(*.f64 (cbrt.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 y x) 6) (pow.f64 (log1p.f64 (exp.f64 x)) 6))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y (-.f64 (*.f64 y x) (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 2)))
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(pow.f64 (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) -1)
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(neg.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (neg.f64 (fma.f64 (*.f64 x y) (-.f64 (*.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)) 3) (pow.f64 (*.f64 y x) 3))) (neg.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 y x) 3))) (neg.f64 (fma.f64 x (*.f64 y (-.f64 (*.f64 y x) (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (-.f64 (neg.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (pow.f64 (*.f64 y x) 3)) (neg.f64 (fma.f64 x (*.f64 y (-.f64 (*.f64 y x) (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(sqrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2))
(fabs.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))))
(log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(log.f64 (*.f64 (+.f64 (exp.f64 x) 1) (pow.f64 (exp.f64 x) y)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 3) (pow.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 y x) 3)) 3) (pow.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 y x) 3)) 3) (pow.f64 (fma.f64 x (*.f64 y (-.f64 (*.f64 y x) (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 3)))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) 1)
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
(*.f64 (log1p.f64 (exp.f64 x)) (log1p.f64 (exp.f64 x)))
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1)
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
(*.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 3/2))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
(*.f64 (*.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
(exp.f64 (*.f64 2 (log.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log1p.f64 (exp.f64 x)))) 1))
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(pow.f64 (log1p.f64 (exp.f64 x)) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) 1)
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(*.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1)
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x)))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(*.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) (pow.f64 (log1p.f64 (exp.f64 x)) 3/2))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (log1p.f64 (exp.f64 x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4))) (log1p.f64 (exp.f64 x)))
(*.f64 (log1p.f64 (exp.f64 x)) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(*.f64 (*.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4))) (log1p.f64 (exp.f64 x)))
(*.f64 (log1p.f64 (exp.f64 x)) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 4))))
(*.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(*.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6))
(fabs.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(exp.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)))
(pow.f64 (log1p.f64 (exp.f64 x)) 3)

eval1.0s (8.8%)

Compiler

Compiled 55781 to 26603 computations (52.3% saved)

prune534.0ms (4.5%)

Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New1594121606
Fresh123
Picked101
Done235
Total1598171615
Error
0.2b
Counts
1615 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
14.2b
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
22.2b
(pow.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3) 1/3)
33.4b
(pow.f64 (+.f64 (*.f64 (+.f64 (*.f64 (log.f64 2) (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (*.f64 (-.f64 1/2 y) (pow.f64 (log.f64 2) 2))) x) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 1/4 (log.f64 2))) (log.f64 2)) (+.f64 (*.f64 (-.f64 1/2 y) (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (*.f64 1/8 (pow.f64 (log.f64 2) 2))))) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 (+.f64 (*.f64 1/8 (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 1/4 (log.f64 2))) (-.f64 1/2 y)) (*.f64 1/4 (*.f64 (-.f64 1/2 y) (log.f64 2))))) (pow.f64 x 3))))) 1/3)
14.8b
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
7.5b
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
0.5b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
7.0b
(-.f64 (log.f64 2) (*.f64 x y))
14.5b
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3) (log.f64 2))
14.3b
(+.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))) (log.f64 2))
14.2b
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
0.5b
(+.f64 (*.f64 x (neg.f64 y)) (+.f64 (log1p.f64 (exp.f64 x)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
27.7b
(+.f64 (*.f64 1/2 x) (log.f64 2))
20.0b
(+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
49.3b
(*.f64 (-.f64 1/2 y) x)
35.7b
(*.f64 x (neg.f64 y))
27.5b
(log1p.f64 (exp.f64 x))
27.7b
(log.f64 2)
Compiler

Compiled 543 to 448 computations (17.5% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 x (neg.f64 y)) (+.f64 (log1p.f64 (exp.f64 x)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
0.5b
(log1p.f64 (exp.f64 x))
49.5b
(fma.f64 (neg.f64 y) x (*.f64 x y))
Compiler

Compiled 52 to 10 computations (80.8% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(fma.f64 (neg.f64 y) x (*.f64 x y))
0.0ms
y
@0
(fma.f64 (neg.f64 y) x (*.f64 x y))
0.0ms
x
@inf
(fma.f64 (neg.f64 y) x (*.f64 x y))
0.0ms
x
@0
(fma.f64 (neg.f64 y) x (*.f64 x y))
0.0ms
y
@inf
(fma.f64 (neg.f64 y) x (*.f64 x y))

rewrite96.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1334×associate-*r/
1260×distribute-lft-in
944×associate-*l/
314×add-sqr-sqrt
308×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01464
129948
2416848
Stop Event
node limit
Counts
2 → 152
Calls
Call 1
Inputs
(fma.f64 (neg.f64 y) x (*.f64 x y))
(+.f64 (*.f64 x (neg.f64 y)) (+.f64 (log1p.f64 (exp.f64 x)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
Outputs
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simplify162.0ms (1.4%)

Algorithm
egg-herbie
Rules
1074×+-commutative
850×associate-*r*
692×associate-/l*
690×times-frac
686×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040812536
1125311476
2747810944
Stop Event
node limit
Counts
200 → 295
Calls
Call 1
Inputs
(*.f64 y (+.f64 (*.f64 -1 x) x))
(*.f64 y (+.f64 (*.f64 -1 x) x))
(*.f64 y (+.f64 (*.f64 -1 x) x))
(*.f64 y (+.f64 (*.f64 -1 x) x))
(*.f64 y (+.f64 (*.f64 -1 x) x))
(*.f64 y (+.f64 (*.f64 -1 x) x))
(*.f64 y (+.f64 (*.f64 -1 x) x))
(*.f64 y (+.f64 (*.f64 -1 x) x))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) x)))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) x)))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) x)))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) x)))
(*.f64 (+.f64 y (*.f64 -1 y)) x)
(*.f64 (+.f64 y (*.f64 -1 y)) x)
(*.f64 (+.f64 y (*.f64 -1 y)) x)
(*.f64 (+.f64 y (*.f64 -1 y)) x)
(*.f64 (+.f64 y (*.f64 -1 y)) x)
(*.f64 (+.f64 y (*.f64 -1 y)) x)
(*.f64 (+.f64 y (*.f64 -1 y)) x)
(*.f64 (+.f64 y (*.f64 -1 y)) x)
(*.f64 -1 (*.f64 (+.f64 y (*.f64 -1 y)) x))
(*.f64 -1 (*.f64 (+.f64 y (*.f64 -1 y)) x))
(*.f64 -1 (*.f64 (+.f64 y (*.f64 -1 y)) x))
(*.f64 -1 (*.f64 (+.f64 y (*.f64 -1 y)) x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 (+.f64 (*.f64 -2 y) (+.f64 1/2 y)) x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (*.f64 (+.f64 (*.f64 -2 y) (+.f64 1/2 y)) x)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (log.f64 2) (*.f64 (+.f64 (*.f64 -2 y) (+.f64 1/2 y)) x))))
(*.f64 (+.f64 (*.f64 -2 y) y) x)
(+.f64 (*.f64 (+.f64 (*.f64 -2 y) y) x) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 (+.f64 (*.f64 -2 y) y) x) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 (+.f64 (*.f64 -2 y) y) x) (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 -1 (*.f64 (+.f64 (*.f64 2 y) (*.f64 -1 y)) x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 y) (*.f64 -1 y)) x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 y) (*.f64 -1 y)) x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 y) (*.f64 -1 y)) x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (*.f64 (+.f64 (*.f64 -2 x) x) y) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 (+.f64 (*.f64 -2 x) x) y) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 (+.f64 (*.f64 -2 x) x) y) (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (+.f64 (*.f64 -2 x) x) y)
(+.f64 (*.f64 (+.f64 (*.f64 -2 x) x) y) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 (+.f64 (*.f64 -2 x) x) y) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 (+.f64 (*.f64 -2 x) x) y) (log.f64 (+.f64 1 (exp.f64 x))))
(*.f64 -1 (*.f64 (+.f64 (*.f64 2 x) (*.f64 -1 x)) y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 x) (*.f64 -1 x)) y)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 x) (*.f64 -1 x)) y)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 x) (*.f64 -1 x)) y)) (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (*.f64 y x) (*.f64 y x))
(+.f64 (-.f64 (*.f64 y x) 0) (*.f64 y x))
(+.f64 (-.f64 (*.f64 y x) (exp.f64 (log1p.f64 (*.f64 y x)))) 1)
(-.f64 (*.f64 y x) (*.f64 y x))
(-.f64 0 (*.f64 x (+.f64 y y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) (+.f64 (*.f64 y x) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y y)))) 1)
(-.f64 (+.f64 (*.f64 y x) 0) (*.f64 y x))
(-.f64 (+.f64 (*.f64 y x) (exp.f64 (log1p.f64 (*.f64 y x)))) 1)
(*.f64 x (+.f64 y y))
(*.f64 (*.f64 x (+.f64 y y)) 1)
(*.f64 1 (*.f64 x (+.f64 y y)))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 y y))) (sqrt.f64 (*.f64 x (+.f64 y y))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x (+.f64 y y)) (log1p.f64 (exp.f64 x))) 2) (pow.f64 (*.f64 y x) 2)) (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (+.f64 (*.f64 x (+.f64 y y)) (log1p.f64 (exp.f64 x))) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (+.f64 (*.f64 x (+.f64 y y)) (log1p.f64 (exp.f64 x))) (+.f64 (*.f64 x (+.f64 y y)) (fma.f64 y x (log1p.f64 (exp.f64 x))))))))
(pow.f64 (+.f64 (*.f64 x (+.f64 y y)) (fma.f64 y x (log1p.f64 (exp.f64 x)))) 1)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x (+.f64 y y)) (fma.f64 y x (log1p.f64 (exp.f64 x))))) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x (+.f64 y y)) (fma.f64 y x (log1p.f64 (exp.f64 x))))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 x (+.f64 y y)) (fma.f64 y x (log1p.f64 (exp.f64 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x (+.f64 y y)) (fma.f64 y x (log1p.f64 (exp.f64 x)))) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 y y)) (fma.f64 y x (log1p.f64 (exp.f64 x))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 x (+.f64 y y)) (fma.f64 y x (log1p.f64 (exp.f64 x)))))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x (+.f64 y y)) (fma.f64 y x (log1p.f64 (exp.f64 x)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x (+.f64 y y)) (fma.f64 y x (log1p.f64 (exp.f64 x))))))
(exp.f64 (log.f64 (+.f64 (*.f64 x (+.f64 y y)) (fma.f64 y x (log1p.f64 (exp.f64 x))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 x (+.f64 y y)) (fma.f64 y x (log1p.f64 (exp.f64 x))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x (+.f64 y y)) (fma.f64 y x (log1p.f64 (exp.f64 x))))))
(fma.f64 y x (+.f64 (*.f64 x (+.f64 y y)) (log1p.f64 (exp.f64 x))))
(fma.f64 x y (+.f64 (*.f64 x (+.f64 y y)) (log1p.f64 (exp.f64 x))))
(fma.f64 1 (*.f64 y x) (+.f64 (*.f64 x (+.f64 y y)) (log1p.f64 (exp.f64 x))))
(fma.f64 1 (+.f64 (*.f64 x (+.f64 y y)) (log1p.f64 (exp.f64 x))) (*.f64 y x))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 x (+.f64 y y)) (log1p.f64 (exp.f64 x)))) (sqrt.f64 (+.f64 (*.f64 x (+.f64 y y)) (log1p.f64 (exp.f64 x)))) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (+.f64 (*.f64 x (+.f64 y y)) (log1p.f64 (exp.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x (+.f64 y y)) (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (+.f64 (*.f64 x (+.f64 y y)) (log1p.f64 (exp.f64 x)))) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (+.f64 (*.f64 x (+.f64 y y)) (log1p.f64 (exp.f64 x))))
Outputs
(*.f64 y (+.f64 (*.f64 -1 x) x))
(*.f64 y (*.f64 0 x))
0
(*.f64 y (+.f64 (*.f64 -1 x) x))
(*.f64 y (*.f64 0 x))
0
(*.f64 y (+.f64 (*.f64 -1 x) x))
(*.f64 y (*.f64 0 x))
0
(*.f64 y (+.f64 (*.f64 -1 x) x))
(*.f64 y (*.f64 0 x))
0
(*.f64 y (+.f64 (*.f64 -1 x) x))
(*.f64 y (*.f64 0 x))
0
(*.f64 y (+.f64 (*.f64 -1 x) x))
(*.f64 y (*.f64 0 x))
0
(*.f64 y (+.f64 (*.f64 -1 x) x))
(*.f64 y (*.f64 0 x))
0
(*.f64 y (+.f64 (*.f64 -1 x) x))
(*.f64 y (*.f64 0 x))
0
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) x)))
(*.f64 y (*.f64 0 x))
0
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) x)))
(*.f64 y (*.f64 0 x))
0
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) x)))
(*.f64 y (*.f64 0 x))
0
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) x)))
(*.f64 y (*.f64 0 x))
0
(*.f64 (+.f64 y (*.f64 -1 y)) x)
(*.f64 y (*.f64 0 x))
0
(*.f64 (+.f64 y (*.f64 -1 y)) x)
(*.f64 y (*.f64 0 x))
0
(*.f64 (+.f64 y (*.f64 -1 y)) x)
(*.f64 y (*.f64 0 x))
0
(*.f64 (+.f64 y (*.f64 -1 y)) x)
(*.f64 y (*.f64 0 x))
0
(*.f64 (+.f64 y (*.f64 -1 y)) x)
(*.f64 y (*.f64 0 x))
0
(*.f64 (+.f64 y (*.f64 -1 y)) x)
(*.f64 y (*.f64 0 x))
0
(*.f64 (+.f64 y (*.f64 -1 y)) x)
(*.f64 y (*.f64 0 x))
0
(*.f64 (+.f64 y (*.f64 -1 y)) x)
(*.f64 y (*.f64 0 x))
0
(*.f64 -1 (*.f64 (+.f64 y (*.f64 -1 y)) x))
(*.f64 y (*.f64 0 x))
0
(*.f64 -1 (*.f64 (+.f64 y (*.f64 -1 y)) x))
(*.f64 y (*.f64 0 x))
0
(*.f64 -1 (*.f64 (+.f64 y (*.f64 -1 y)) x))
(*.f64 y (*.f64 0 x))
0
(*.f64 -1 (*.f64 (+.f64 y (*.f64 -1 y)) x))
(*.f64 y (*.f64 0 x))
0
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 (+.f64 (*.f64 -2 y) (+.f64 1/2 y)) x))
(+.f64 (log.f64 2) (*.f64 x (fma.f64 -2 y (+.f64 y 1/2))))
(fma.f64 x (+.f64 (neg.f64 y) 1/2) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (*.f64 (+.f64 (*.f64 -2 y) (+.f64 1/2 y)) x)))
(fma.f64 1/8 (*.f64 x x) (+.f64 (log.f64 2) (*.f64 x (fma.f64 -2 y (+.f64 y 1/2)))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (+.f64 (neg.f64 y) 1/2) (log.f64 2)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (log.f64 2) (*.f64 (+.f64 (*.f64 -2 y) (+.f64 1/2 y)) x))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (+.f64 (log.f64 2) (*.f64 x (fma.f64 -2 y (+.f64 y 1/2))))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 x (+.f64 (neg.f64 y) 1/2) (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (+.f64 (*.f64 -2 y) y) x)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 (+.f64 (*.f64 -2 y) y) x) (log.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (*.f64 (+.f64 (*.f64 -2 y) y) x) (log.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (*.f64 (+.f64 (*.f64 -2 y) y) x) (log.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 2 y) (*.f64 -1 y)) x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 y) (*.f64 -1 y)) x)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 y) (*.f64 -1 y)) x)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 y) (*.f64 -1 y)) x)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (*.f64 (+.f64 (*.f64 -2 x) x) y) (log.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (*.f64 (+.f64 (*.f64 -2 x) x) y) (log.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (*.f64 (+.f64 (*.f64 -2 x) x) y) (log.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(*.f64 (+.f64 (*.f64 -2 x) x) y)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 (+.f64 (*.f64 -2 x) x) y) (log.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (*.f64 (+.f64 (*.f64 -2 x) x) y) (log.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (*.f64 (+.f64 (*.f64 -2 x) x) y) (log.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(*.f64 -1 (*.f64 (+.f64 (*.f64 2 x) (*.f64 -1 x)) y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 x) (*.f64 -1 x)) y)) (log.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 x) (*.f64 -1 x)) y)) (log.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 x) (*.f64 -1 x)) y)) (log.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 y x))
(*.f64 2 (*.f64 y x))
(+.f64 (-.f64 (*.f64 y x) 0) (*.f64 y x))
(*.f64 2 (*.f64 y x))
(+.f64 (-.f64 (*.f64 y x) (exp.f64 (log1p.f64 (*.f64 y x)))) 1)
(-.f64 (*.f64 y x) (-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) 1))
(-.f64 (*.f64 y x) (expm1.f64 (log1p.f64 (*.f64 y x))))
(-.f64 (*.f64 y x) (*.f64 y x))
(*.f64 y (*.f64 0 x))
0
(-.f64 0 (*.f64 x (+.f64 y y)))
(*.f64 (neg.f64 x) (+.f64 y y))
(*.f64 -2 (*.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) (+.f64 (*.f64 y x) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) (fma.f64 y x 1))
(-.f64 (expm1.f64 (log1p.f64 (*.f64 y x))) (*.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y y)))) 1)
(*.f64 2 (*.f64 y x))
(-.f64 (+.f64 (*.f64 y x) 0) (*.f64 y x))
(*.f64 y (*.f64 0 x))
0
(-.f64 (+.f64 (*.f64 y x) (exp.f64 (log1p.f64 (*.f64 y x)))) 1)
(+.f64 (fma.f64 y x (exp.f64 (log1p.f64 (*.f64 y x)))) -1)
(fma.f64 y x (expm1.f64 (log1p.f64 (*.f64 y x))))
(*.f64 x (+.f64 y y))
(*.f64 2 (*.f64 y x))
(*.f64 (*.f64 x (+.f64 y y)) 1)
(*.f64 2 (*.f64 y x))
(*.f64 1 (*.f64 x (+.f64 y y)))
(*.f64 2 (*.f64 y x))
(*.f64 (sqrt.f64 (*.f64 x (+.f64 y y))) (sqrt.f64 (*.f64 x (+.f64 y y))))
(*.f64 2 (*.f64 y x))
(*.f64 (cbrt.f64 (*.f64 x (+.f64 y y))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y y))) 2))
(*.f64 2 (*.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y y))) 2) (cbrt.f64 (*.f64 x (+.f64 y y))))
(*.f64 2 (*.f64 y x))
(*.f64 -1 (*.f64 x (+.f64 y y)))
(*.f64 (neg.f64 x) (+.f64 y y))
(*.f64 -2 (*.f64 y x))
(*.f64 2 (*.f64 y x))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 y x) 2)) (*.f64 x (+.f64 y y)))
(*.f64 y (*.f64 0 x))
0
(/.f64 (*.f64 2 (pow.f64 (*.f64 y x) 3)) (-.f64 (*.f64 (*.f64 y x) (*.f64 x (+.f64 y y))) (pow.f64 (*.f64 y x) 2)))
(/.f64 2 (/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 2 (*.f64 y x))) (pow.f64 (*.f64 y x) 2)) (pow.f64 (*.f64 y x) 3)))
(/.f64 2 (/.f64 (-.f64 (*.f64 2 (pow.f64 (*.f64 y x) 2)) (pow.f64 (*.f64 y x) 2)) (pow.f64 (*.f64 y x) 3)))
(*.f64 (/.f64 2 (pow.f64 (*.f64 y x) 2)) (pow.f64 (*.f64 y x) 3))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 y x) 2))) (*.f64 x (+.f64 y y)))
(*.f64 y (*.f64 0 x))
0
(/.f64 (*.f64 1 (*.f64 2 (pow.f64 (*.f64 y x) 3))) (-.f64 (*.f64 (*.f64 y x) (*.f64 x (+.f64 y y))) (pow.f64 (*.f64 y x) 2)))
(/.f64 2 (/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 2 (*.f64 y x))) (pow.f64 (*.f64 y x) 2)) (pow.f64 (*.f64 y x) 3)))
(/.f64 2 (/.f64 (-.f64 (*.f64 2 (pow.f64 (*.f64 y x) 2)) (pow.f64 (*.f64 y x) 2)) (pow.f64 (*.f64 y x) 3)))
(*.f64 (/.f64 2 (pow.f64 (*.f64 y x) 2)) (pow.f64 (*.f64 y x) 3))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 y x) 2))) (*.f64 x (+.f64 y y)))
(*.f64 y (*.f64 0 x))
0
(/.f64 (*.f64 -1 (*.f64 2 (pow.f64 (*.f64 y x) 3))) (-.f64 (*.f64 (*.f64 y x) (*.f64 x (+.f64 y y))) (pow.f64 (*.f64 y x) 2)))
(/.f64 (*.f64 -2 (pow.f64 (*.f64 y x) 3)) (-.f64 (*.f64 (*.f64 y x) (*.f64 2 (*.f64 y x))) (pow.f64 (*.f64 y x) 2)))
(/.f64 -2 (/.f64 (-.f64 (*.f64 2 (pow.f64 (*.f64 y x) 2)) (pow.f64 (*.f64 y x) 2)) (pow.f64 (*.f64 y x) 3)))
(/.f64 -2 (/.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 y x) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 y x) 2)) 1) (*.f64 x (+.f64 y y)))
(*.f64 y (*.f64 0 x))
0
(/.f64 (*.f64 (*.f64 2 (pow.f64 (*.f64 y x) 3)) 1) (-.f64 (*.f64 (*.f64 y x) (*.f64 x (+.f64 y y))) (pow.f64 (*.f64 y x) 2)))
(/.f64 2 (/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 2 (*.f64 y x))) (pow.f64 (*.f64 y x) 2)) (pow.f64 (*.f64 y x) 3)))
(/.f64 2 (/.f64 (-.f64 (*.f64 2 (pow.f64 (*.f64 y x) 2)) (pow.f64 (*.f64 y x) 2)) (pow.f64 (*.f64 y x) 3)))
(*.f64 (/.f64 2 (pow.f64 (*.f64 y x) 2)) (pow.f64 (*.f64 y x) 3))
(pow.f64 (*.f64 x (+.f64 y y)) 1)
(*.f64 2 (*.f64 y x))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y y))) 2)
(*.f64 2 (*.f64 y x))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y y))) 3)
(*.f64 2 (*.f64 y x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y y)) 3) 1/3)
(*.f64 2 (*.f64 y x))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y y)) 2))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 y x)) 2))
(fabs.f64 (*.f64 2 (*.f64 y x)))
(log.f64 (exp.f64 (*.f64 x (+.f64 y y))))
(*.f64 2 (*.f64 y x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y y)))))
(*.f64 2 (*.f64 y x))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y y)) 3))
(*.f64 2 (*.f64 y x))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y y))))
(*.f64 2 (*.f64 y x))
(exp.f64 (log.f64 (*.f64 x (+.f64 y y))))
(*.f64 2 (*.f64 y x))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y y))) 1))
(*.f64 2 (*.f64 y x))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y y))))
(*.f64 2 (*.f64 y x))
(-.f64 (+.f64 (*.f64 x (+.f64 y y)) (log1p.f64 (exp.f64 x))) (*.f64 y x))
(-.f64 (fma.f64 x (+.f64 y y) (log1p.f64 (exp.f64 x))) (*.f64 y x))
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(-.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (*.f64 x (+.f64 y y)))
(-.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (*.f64 2 (*.f64 y x)))
(+.f64 (*.f64 -2 (*.f64 y x)) (fma.f64 y x (log1p.f64 (exp.f64 x))))
(neg.f64 (-.f64 (*.f64 y x) (log1p.f64 (exp.f64 x))))
(-.f64 0 (-.f64 (*.f64 x (+.f64 y y)) (fma.f64 y x (log1p.f64 (exp.f64 x)))))
(-.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) (*.f64 2 (*.f64 y x)))
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(*.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (fma.f64 x (+.f64 y y) (log1p.f64 (exp.f64 x))) (fma.f64 x (+.f64 y y) (fma.f64 y x (log1p.f64 (exp.f64 x)))))) (/.f64 (-.f64 (pow.f64 (fma.f64 x (+.f64 y y) (log1p.f64 (exp.f64 x))) 2) (pow.f64 (*.f64 y x) 2)) (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (fma.f64 x (+.f64 y y) (log1p.f64 (exp.f64 x))) 3))))
(*.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x x) (log1p.f64 (exp.f64 x))) 2) (pow.f64 (*.f64 y x) 2)) (/.f64 (fma.f64 (fma.f64 y (+.f64 x x) (log1p.f64 (exp.f64 x))) (+.f64 (*.f64 3 (*.f64 y x)) (log1p.f64 (exp.f64 x))) (pow.f64 (*.f64 y x) 2)) (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (fma.f64 y (+.f64 x x) (log1p.f64 (exp.f64 x))) 3))))
(*.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x x) (log1p.f64 (exp.f64 x))) 2) (pow.f64 (*.f64 y x) 2)) (/.f64 (fma.f64 (fma.f64 y (+.f64 x x) (log1p.f64 (exp.f64 x))) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 3 (*.f64 y x))) (pow.f64 (*.f64 y x) 2)) (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (fma.f64 y (+.f64 x x) (log1p.f64 (exp.f64 x))) 3))))
(pow.f64 (+.f64 (*.f64 x (+.f64 y y)) (fma.f64 y x (log1p.f64 (exp.f64 x)))) 1)
(fma.f64 x (+.f64 y y) (fma.f64 y x (log1p.f64 (exp.f64 x))))
(+.f64 (*.f64 3 (*.f64 y x)) (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 3 (*.f64 y x)))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x (+.f64 y y)) (fma.f64 y x (log1p.f64 (exp.f64 x))))) 2)
(fma.f64 x (+.f64 y y) (fma.f64 y x (log1p.f64 (exp.f64 x))))
(+.f64 (*.f64 3 (*.f64 y x)) (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 3 (*.f64 y x)))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x (+.f64 y y)) (fma.f64 y x (log1p.f64 (exp.f64 x))))) 3)
(fma.f64 x (+.f64 y y) (fma.f64 y x (log1p.f64 (exp.f64 x))))
(+.f64 (*.f64 3 (*.f64 y x)) (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 3 (*.f64 y x)))
(pow.f64 (pow.f64 (+.f64 (*.f64 x (+.f64 y y)) (fma.f64 y x (log1p.f64 (exp.f64 x)))) 3) 1/3)
(fma.f64 x (+.f64 y y) (fma.f64 y x (log1p.f64 (exp.f64 x))))
(+.f64 (*.f64 3 (*.f64 y x)) (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 3 (*.f64 y x)))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x (+.f64 y y)) (fma.f64 y x (log1p.f64 (exp.f64 x)))) 2))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y y) (fma.f64 y x (log1p.f64 (exp.f64 x)))) 2))
(fabs.f64 (+.f64 (*.f64 3 (*.f64 y x)) (log1p.f64 (exp.f64 x))))
(fabs.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 3 (*.f64 y x))))
(log.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 y y)) (fma.f64 y x (log1p.f64 (exp.f64 x))))))
(fma.f64 x (+.f64 y y) (fma.f64 y x (log1p.f64 (exp.f64 x))))
(+.f64 (*.f64 3 (*.f64 y x)) (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 3 (*.f64 y x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 x (+.f64 y y)) (fma.f64 y x (log1p.f64 (exp.f64 x)))))))
(fma.f64 x (+.f64 y y) (fma.f64 y x (log1p.f64 (exp.f64 x))))
(+.f64 (*.f64 3 (*.f64 y x)) (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 3 (*.f64 y x)))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x (+.f64 y y)) (fma.f64 y x (log1p.f64 (exp.f64 x)))) 3))
(fma.f64 x (+.f64 y y) (fma.f64 y x (log1p.f64 (exp.f64 x))))
(+.f64 (*.f64 3 (*.f64 y x)) (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 3 (*.f64 y x)))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x (+.f64 y y)) (fma.f64 y x (log1p.f64 (exp.f64 x))))))
(fma.f64 x (+.f64 y y) (fma.f64 y x (log1p.f64 (exp.f64 x))))
(+.f64 (*.f64 3 (*.f64 y x)) (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 3 (*.f64 y x)))
(exp.f64 (log.f64 (+.f64 (*.f64 x (+.f64 y y)) (fma.f64 y x (log1p.f64 (exp.f64 x))))))
(fma.f64 x (+.f64 y y) (fma.f64 y x (log1p.f64 (exp.f64 x))))
(+.f64 (*.f64 3 (*.f64 y x)) (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 3 (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 x (+.f64 y y)) (fma.f64 y x (log1p.f64 (exp.f64 x))))) 1))
(fma.f64 x (+.f64 y y) (fma.f64 y x (log1p.f64 (exp.f64 x))))
(+.f64 (*.f64 3 (*.f64 y x)) (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 3 (*.f64 y x)))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x (+.f64 y y)) (fma.f64 y x (log1p.f64 (exp.f64 x))))))
(fma.f64 x (+.f64 y y) (fma.f64 y x (log1p.f64 (exp.f64 x))))
(+.f64 (*.f64 3 (*.f64 y x)) (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 3 (*.f64 y x)))
(fma.f64 y x (+.f64 (*.f64 x (+.f64 y y)) (log1p.f64 (exp.f64 x))))
(fma.f64 x (+.f64 y y) (fma.f64 y x (log1p.f64 (exp.f64 x))))
(+.f64 (*.f64 3 (*.f64 y x)) (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 3 (*.f64 y x)))
(fma.f64 x y (+.f64 (*.f64 x (+.f64 y y)) (log1p.f64 (exp.f64 x))))
(fma.f64 x (+.f64 y y) (fma.f64 y x (log1p.f64 (exp.f64 x))))
(+.f64 (*.f64 3 (*.f64 y x)) (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 3 (*.f64 y x)))
(fma.f64 1 (*.f64 y x) (+.f64 (*.f64 x (+.f64 y y)) (log1p.f64 (exp.f64 x))))
(fma.f64 x (+.f64 y y) (fma.f64 y x (log1p.f64 (exp.f64 x))))
(+.f64 (*.f64 3 (*.f64 y x)) (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 3 (*.f64 y x)))
(fma.f64 1 (+.f64 (*.f64 x (+.f64 y y)) (log1p.f64 (exp.f64 x))) (*.f64 y x))
(fma.f64 x (+.f64 y y) (fma.f64 y x (log1p.f64 (exp.f64 x))))
(+.f64 (*.f64 3 (*.f64 y x)) (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 3 (*.f64 y x)))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 x (+.f64 y y)) (log1p.f64 (exp.f64 x)))) (sqrt.f64 (+.f64 (*.f64 x (+.f64 y y)) (log1p.f64 (exp.f64 x)))) (*.f64 y x))
(fma.f64 x (+.f64 y y) (fma.f64 y x (log1p.f64 (exp.f64 x))))
(+.f64 (*.f64 3 (*.f64 y x)) (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 3 (*.f64 y x)))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (+.f64 (*.f64 x (+.f64 y y)) (log1p.f64 (exp.f64 x))))
(fma.f64 x (+.f64 y y) (fma.f64 y x (log1p.f64 (exp.f64 x))))
(+.f64 (*.f64 3 (*.f64 y x)) (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 3 (*.f64 y x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x (+.f64 y y)) (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (+.f64 (*.f64 x (+.f64 y y)) (log1p.f64 (exp.f64 x)))) (*.f64 y x))
(fma.f64 x (+.f64 y y) (fma.f64 y x (log1p.f64 (exp.f64 x))))
(+.f64 (*.f64 3 (*.f64 y x)) (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 3 (*.f64 y x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (+.f64 (*.f64 x (+.f64 y y)) (log1p.f64 (exp.f64 x))))
(fma.f64 x (+.f64 y y) (fma.f64 y x (log1p.f64 (exp.f64 x))))
(+.f64 (*.f64 3 (*.f64 y x)) (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 3 (*.f64 y x)))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 8 computations (38.5% saved)

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 16 to 9 computations (43.8% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite58.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify60.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

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

localize23.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2)))
0.0b
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
0.7b
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1)
Compiler

Compiled 51 to 40 computations (21.6% saved)

series1.0ms (0%)

Counts
3 → 45
Calls

12 calls:

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

rewrite126.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
836×associate-+l+
520×associate-/r*
432×associate-/l*
418×+-commutative
396×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01581
134057
2475057
Stop Event
node limit
Counts
3 → 339
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1)
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
(+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2)))
Outputs
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simplify152.0ms (1.3%)

Algorithm
egg-herbie
Rules
970×distribute-lft-in
932×+-commutative
928×distribute-rgt-in
760×associate--l+
738×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079721196
1229920162
Stop Event
node limit
Counts
384 → 506
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(*.f64 (+.f64 1/2 (*.f64 -1 y)) x)
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
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(+.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))
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(+.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 (log.f64 2))
(*.f64 1/2 x)
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(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(*.f64 1/2 x)
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 1 (+.f64 (+.f64 (log.f64 2) -1) (*.f64 1/2 x)))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 (*.f64 1/2 x) -1)))
(+.f64 1 (+.f64 (fma.f64 1/2 x (log.f64 2)) -1))
(+.f64 1 (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) -1)))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 0 (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (fma.f64 1/2 x 1) -1))
(+.f64 (+.f64 1 (log.f64 2)) (+.f64 (*.f64 1/2 x) -1))
(+.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) -1)
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(+.f64 0 (fma.f64 1/2 x (log.f64 2)))
(+.f64 (fma.f64 1/2 x 1) (+.f64 (log.f64 2) -1))
(+.f64 -1 (+.f64 1 (fma.f64 1/2 x (log.f64 2))))
(+.f64 (+.f64 (*.f64 1/2 x) -1) (+.f64 1 (log.f64 2)))
(+.f64 (+.f64 (log.f64 2) -1) (fma.f64 1/2 x 1))
(+.f64 (*.f64 (fma.f64 1/2 x 1) 1) (+.f64 (log.f64 2) -1))
(+.f64 (+.f64 -1 (fma.f64 1/2 x (log.f64 2))) 1)
(+.f64 (+.f64 -1 (fma.f64 1/2 x 1)) (log.f64 2))
(+.f64 (+.f64 -1 (*.f64 (fma.f64 1/2 x 1) 1)) (log.f64 2))
(*.f64 1 (fma.f64 1/2 x (log.f64 2)))
(*.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(*.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 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 2) -1) (/.f64 1 (+.f64 2 (fma.f64 1/2 x (log.f64 2)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 2) (+.f64 2 (fma.f64 1/2 x (log.f64 2))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))))) (-.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2)))) 1))
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(/.f64 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)) 1) (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (-.f64 (log.f64 2) (*.f64 1/2 x))))))
(/.f64 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (sqrt.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (-.f64 (log.f64 2) (*.f64 1/2 x))))))) (sqrt.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (-.f64 (log.f64 2) (*.f64 1/2 x)))))))
(/.f64 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (-.f64 (log.f64 2) (*.f64 1/2 x)))))) (cbrt.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (-.f64 (log.f64 2) (*.f64 1/2 x)))))))) (cbrt.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (-.f64 (log.f64 2) (*.f64 1/2 x)))))))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 1 (log.f64 2)) 2)) 1) 1) (-.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 1 (log.f64 2)) 2)) 1) (sqrt.f64 (-.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))))) (sqrt.f64 (-.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2)))))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 1 (log.f64 2)) 2)) 1) (*.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2)))) (cbrt.f64 (-.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2)))))) (cbrt.f64 (-.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2)))))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 1 (log.f64 2)) 2)) 1) (+.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (+.f64 1 (log.f64 2))))) (-.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (+.f64 1 (log.f64 2)))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)) 1) 1) (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (-.f64 (log.f64 2) (*.f64 1/2 x))))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)) 1) (sqrt.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (-.f64 (log.f64 2) (*.f64 1/2 x))))))) (sqrt.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (-.f64 (log.f64 2) (*.f64 1/2 x)))))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)) 1) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (-.f64 (log.f64 2) (*.f64 1/2 x)))))) (cbrt.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (-.f64 (log.f64 2) (*.f64 1/2 x)))))))) (cbrt.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (-.f64 (log.f64 2) (*.f64 1/2 x)))))))
(pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2)))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 2))
(log.f64 (*.f64 (exp.f64 (fma.f64 1/2 x 1)) 2))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))))))
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 3))
(expm1.f64 (log.f64 (+.f64 2 (fma.f64 1/2 x (log.f64 2)))))
(exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2)))))
(fma.f64 1/2 x (+.f64 1 (log.f64 2)))
(fma.f64 x 1/2 (+.f64 1 (log.f64 2)))
(fma.f64 1 (*.f64 1/2 x) (+.f64 1 (log.f64 2)))
(fma.f64 1 (+.f64 1 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (+.f64 1 (log.f64 2)))
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 2))) (sqrt.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 x))
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (cbrt.f64 (*.f64 1/2 x)) (+.f64 1 (log.f64 2)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 2))) 2) (cbrt.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 x))
Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(*.f64 (+.f64 1/2 (*.f64 -1 y)) x)
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 1 (log.f64 2))
(+.f64 (log.f64 2) 1)
(*.f64 1/2 x)
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 1 (fma.f64 1/2 x (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 1/2 x 1))
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 1 (fma.f64 1/2 x (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 1/2 x 1))
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 1 (fma.f64 1/2 x (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 1/2 x 1))
(*.f64 1/2 x)
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 1 (fma.f64 1/2 x (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 1/2 x 1))
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 1 (fma.f64 1/2 x (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 1/2 x 1))
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 1 (fma.f64 1/2 x (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 1/2 x 1))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 1 (+.f64 (+.f64 (log.f64 2) -1) (*.f64 1/2 x)))
(fma.f64 1/2 x (log.f64 2))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 (*.f64 1/2 x) -1)))
(fma.f64 1/2 x (log.f64 2))
(+.f64 1 (+.f64 (fma.f64 1/2 x (log.f64 2)) -1))
(fma.f64 1/2 x (log.f64 2))
(+.f64 1 (+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) -1)))
(fma.f64 1/2 x (log.f64 2))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 0 (*.f64 1/2 x)))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (fma.f64 1/2 x 1) -1))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (+.f64 1 (log.f64 2)) (+.f64 (*.f64 1/2 x) -1))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) -1)
(fma.f64 1/2 x (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(+.f64 0 (fma.f64 1/2 x (log.f64 2)))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (fma.f64 1/2 x 1) (+.f64 (log.f64 2) -1))
(fma.f64 1/2 x (log.f64 2))
(+.f64 -1 (+.f64 1 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (+.f64 (*.f64 1/2 x) -1) (+.f64 1 (log.f64 2)))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (+.f64 (log.f64 2) -1) (fma.f64 1/2 x 1))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 (fma.f64 1/2 x 1) 1) (+.f64 (log.f64 2) -1))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (+.f64 -1 (fma.f64 1/2 x (log.f64 2))) 1)
(fma.f64 1/2 x (log.f64 2))
(+.f64 (+.f64 -1 (fma.f64 1/2 x 1)) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (+.f64 -1 (*.f64 (fma.f64 1/2 x 1) 1)) (log.f64 2))
(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 (fma.f64 1/2 x (log.f64 2)) 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))))
(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 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 2) -1) (/.f64 1 (+.f64 2 (fma.f64 1/2 x (log.f64 2)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 2)) (/.f64 1 (+.f64 2 (fma.f64 1/2 x (log.f64 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2)) (+.f64 2 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 2) (+.f64 2 (fma.f64 1/2 x (log.f64 2))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 3)) (+.f64 (fma.f64 1/2 x (log.f64 2)) (+.f64 2 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))))) (-.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2)))) 1))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))))) (+.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2)))) -1))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))) (+.f64 -1 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))))
(*.f64 (/.f64 1 (+.f64 2 (fma.f64 1/2 x (log.f64 2)))) (+.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 2) -1))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 2)) (/.f64 1 (+.f64 2 (fma.f64 1/2 x (log.f64 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2)) (+.f64 2 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 2) (+.f64 2 (fma.f64 1/2 x (log.f64 2))))) (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 3)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 2) (+.f64 2 (fma.f64 1/2 x (log.f64 2))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 3)) (+.f64 (fma.f64 1/2 x (log.f64 2)) (+.f64 2 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 2) -1) (+.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 2) -1)) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 1/2 x (log.f64 2))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 2) -1) (-.f64 1 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 2))) (-.f64 0 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 2)) (-.f64 1 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 2))) (neg.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2)) (-.f64 1 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2))) (neg.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 2) -1) (+.f64 1 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 3))) (+.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 2) (-.f64 0 (fma.f64 1/2 x (log.f64 2)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 2)) (+.f64 1 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 3))) (+.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 2) (neg.f64 (fma.f64 1/2 x (log.f64 2)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2)) (+.f64 1 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 3))) (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (neg.f64 (fma.f64 1/2 x (log.f64 2)))))
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(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2)))))
(+.f64 1 (fma.f64 1/2 x (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 1/2 x 1))
(fma.f64 1/2 x (+.f64 1 (log.f64 2)))
(-.f64 (fma.f64 1/2 x 1) (-.f64 0 (log.f64 2)))
(fma.f64 1/2 x (+.f64 (log.f64 2) 1))
(fma.f64 x 1/2 (+.f64 1 (log.f64 2)))
(-.f64 (fma.f64 1/2 x 1) (-.f64 0 (log.f64 2)))
(fma.f64 1/2 x (+.f64 (log.f64 2) 1))
(fma.f64 1 (*.f64 1/2 x) (+.f64 1 (log.f64 2)))
(-.f64 (fma.f64 1/2 x 1) (-.f64 0 (log.f64 2)))
(fma.f64 1/2 x (+.f64 (log.f64 2) 1))
(fma.f64 1 (+.f64 1 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 1 (+.f64 (log.f64 2) 1) (*.f64 1/2 x))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (+.f64 1 (log.f64 2)))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (+.f64 (log.f64 2) 1))
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 2))) (sqrt.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 x))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) (sqrt.f64 (+.f64 (log.f64 2) 1)) (*.f64 1/2 x))
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (cbrt.f64 (*.f64 1/2 x)) (+.f64 1 (log.f64 2)))
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (cbrt.f64 (*.f64 1/2 x)) (+.f64 (log.f64 2) 1))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4))) (cbrt.f64 (*.f64 1/2 x)) (+.f64 (log.f64 2) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 2))) 2) (cbrt.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) 1)) 2) (cbrt.f64 (+.f64 (log.f64 2) 1)) (*.f64 1/2 x))

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (-.f64 1/2 y) x)
0.0b
(+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
0.8b
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
Compiler

Compiled 39 to 28 computations (28.2% saved)

series1.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite81.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1098×*-commutative
962×associate-*r/
792×associate-*l/
612×distribute-lft-in
600×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01336
127432
2326132
Stop Event
node limit
Counts
2 → 158
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
(+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1/2 y) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (-.f64 1/2 y) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 (-.f64 1/2 y) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 y)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (*.f64 (-.f64 1/2 y) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 1/2 x)) (*.f64 1 (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 x) 1) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 x (sqrt.f64 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (-.f64 1/2 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 x (cbrt.f64 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 1/2 y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (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 (cbrt.f64 (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/2 y) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (-.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (-.f64 1/16 (*.f64 (*.f64 y (+.f64 1/2 y)) (*.f64 y (+.f64 1/2 y))))) (-.f64 1/4 (*.f64 y (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/64 (pow.f64 (*.f64 y (+.f64 1/2 y)) 3))) (+.f64 1/16 (-.f64 (*.f64 (*.f64 y (+.f64 1/2 y)) (*.f64 y (+.f64 1/2 y))) (*.f64 1/4 (*.f64 y (+.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/8 (pow.f64 y 3)) (/.f64 (+.f64 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(neg.f64 (-.f64 1/4 (*.f64 y y)))) (neg.f64 (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (-.f64 1/8 (pow.f64 y 3)))) (neg.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 1 (-.f64 (*.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) (+.f64 (*.f64 (-.f64 1/2 y) x) 1)) 1)) (+.f64 (*.f64 (-.f64 1/2 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) 3) 1)) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) (+.f64 (*.f64 (-.f64 1/2 y) x) 1)) (+.f64 (*.f64 (-.f64 1/2 y) x) 2)))))) (#(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 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(*.f64 (neg.f64 (-.f64 1/8 (pow.f64 y 3))) x) (neg.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 1) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) 1) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) (+.f64 (*.f64 (-.f64 1/2 y) x) 1)) 1) 1) (+.f64 (*.f64 (-.f64 1/2 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) 3) 1) 1) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) (+.f64 (*.f64 (-.f64 1/2 y) x) 1)) (+.f64 (*.f64 (-.f64 1/2 y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (*.f64 x (sqrt.f64 (-.f64 1/2 y)))) (sqrt.f64 (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 1) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (sqrt.f64 (+.f64 1/2 y))) (sqrt.f64 (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) 1) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (sqrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))) (sqrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))) (cbrt.f64 (+.f64 1/4 (*.f64 y 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(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))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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simplify114.0ms (1%)

Algorithm
egg-herbie
Rules
912×+-commutative
772×associate-+l-
760×associate--r+
706×associate-+r-
698×associate--l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04209386
112238060
259758060
Stop Event
node limit
Counts
206 → 238
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)
(+.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 (*.f64 (-.f64 1/2 y) x) 0)
(+.f64 1 (+.f64 (*.f64 (-.f64 1/2 y) x) -1))
(+.f64 1 (-.f64 (*.f64 (-.f64 1/2 y) x) 1))
(+.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) -1)
(+.f64 (*.f64 1/2 x) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 1/2 x))
(+.f64 -1 (+.f64 (*.f64 (-.f64 1/2 y) x) 1))
(+.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 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) 1)
(-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 2) 2)
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (*.f64 (-.f64 1/2 y) x) 1)
(*.f64 1 (*.f64 (-.f64 1/2 y) x))
(*.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 x (sqrt.f64 (-.f64 1/2 y))))
(*.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 (sqrt.f64 x) (*.f64 (-.f64 1/2 y) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (-.f64 1/2 y)) (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 x (cbrt.f64 (-.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 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 (cbrt.f64 x) (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 1/2 y) (cbrt.f64 x)))
(*.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))
(*.f64 (*.f64 x (cbrt.f64 (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))
(*.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (-.f64 1/2 y) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y))
(*.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (-.f64 y 1/2))))
(*.f64 (/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (-.f64 1/16 (*.f64 (*.f64 y (+.f64 1/2 y)) (*.f64 y (+.f64 1/2 y))))) (-.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(*.f64 (/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/64 (pow.f64 (*.f64 y (+.f64 1/2 y)) 3))) (+.f64 1/16 (-.f64 (*.f64 (*.f64 y (+.f64 1/2 y)) (*.f64 y (+.f64 1/2 y))) (*.f64 1/4 (*.f64 y (+.f64 1/2 y))))))
(/.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 (*.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) (+.f64 (*.f64 (-.f64 1/2 y) x) 1)) 1) (+.f64 (*.f64 (-.f64 1/2 y) x) 2))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) (+.f64 (*.f64 (-.f64 1/2 y) x) 1)) (+.f64 (*.f64 (-.f64 1/2 y) x) 2)))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 (neg.f64 y) (neg.f64 y)))) (+.f64 1/2 y))
(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 (neg.f64 y) 3))) (-.f64 (+.f64 1/4 (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 1/2 (neg.f64 y))))
(/.f64 (*.f64 x (neg.f64 (-.f64 1/4 (*.f64 y y)))) (neg.f64 (+.f64 1/2 y)))
(/.f64 (*.f64 x (neg.f64 (-.f64 1/8 (pow.f64 y 3)))) (neg.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 1 (-.f64 (*.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) (+.f64 (*.f64 (-.f64 1/2 y) x) 1)) 1)) (+.f64 (*.f64 (-.f64 1/2 y) x) 2))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) 3) 1)) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) (+.f64 (*.f64 (-.f64 1/2 y) x) 1)) (+.f64 (*.f64 (-.f64 1/2 y) x) 2)))
(/.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 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 (-.f64 1/4 (*.f64 (neg.f64 y) (neg.f64 y))) x) (+.f64 1/2 y))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 (neg.f64 y) 3)) x) (-.f64 (+.f64 1/4 (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 1/2 (neg.f64 y))))
(/.f64 (*.f64 (neg.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) (neg.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 (*.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) (+.f64 (*.f64 (-.f64 1/2 y) x) 1)) 1) 1) (+.f64 (*.f64 (-.f64 1/2 y) x) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) 3) 1) 1) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) (+.f64 (*.f64 (-.f64 1/2 y) x) 1)) (+.f64 (*.f64 (-.f64 1/2 y) x) 2)))
(/.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 (sqrt.f64 (-.f64 1/8 (pow.f64 y 3))) (*.f64 x (sqrt.f64 (-.f64 1/2 y)))) (sqrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (/.f64 (*.f64 x (-.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))
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(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.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)))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.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)))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) 0)
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 1 (+.f64 (*.f64 (-.f64 1/2 y) x) -1))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 1 (-.f64 (*.f64 (-.f64 1/2 y) x) 1))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) -1)
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 x (neg.f64 y)))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 -1 (+.f64 (*.f64 (-.f64 1/2 y) x) 1))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1 (*.f64 1/2 x)) (*.f64 1 (*.f64 x (neg.f64 y))))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 (*.f64 1/2 x) 1) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) 1)
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 2) 2)
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 (*.f64 (-.f64 1/2 y) x) 1)
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 1 (*.f64 (-.f64 1/2 y) x))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 x (sqrt.f64 (-.f64 1/2 y))))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (sqrt.f64 x) (*.f64 (-.f64 1/2 y) (sqrt.f64 x)))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (cbrt.f64 (-.f64 1/2 y)) (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 x (cbrt.f64 (-.f64 1/2 y))))
(fma.f64 1/2 x (*.f64 x (neg.f64 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))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.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)))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (cbrt.f64 x) (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 1/2 y) (cbrt.f64 x)))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))
(fma.f64 1/2 x (*.f64 x (neg.f64 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)))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (*.f64 x (cbrt.f64 (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (*.f64 (-.f64 1/2 y) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(fma.f64 1/2 x (*.f64 x (neg.f64 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))
(fma.f64 1/2 x (*.f64 x (neg.f64 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 y (-.f64 y 1/2))))
(*.f64 (/.f64 x (/.f64 (+.f64 1/8 (pow.f64 y 3)) (-.f64 1/4 (*.f64 y y)))) (+.f64 1/4 (*.f64 y (+.f64 y -1/2))))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (/.f64 (+.f64 1/8 (pow.f64 y 3)) (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))))
(*.f64 (/.f64 x (/.f64 (-.f64 1/16 (*.f64 (*.f64 y y) (*.f64 (+.f64 1/2 y) (+.f64 1/2 y)))) (-.f64 1/8 (pow.f64 y 3)))) (-.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(*.f64 (*.f64 (/.f64 x (-.f64 1/16 (*.f64 (*.f64 (*.f64 y y) (+.f64 1/2 y)) (+.f64 1/2 y)))) (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (-.f64 -1/2 y))))
(*.f64 (/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/64 (pow.f64 (*.f64 y (+.f64 1/2 y)) 3))) (+.f64 1/16 (-.f64 (*.f64 (*.f64 y (+.f64 1/2 y)) (*.f64 y (+.f64 1/2 y))) (*.f64 1/4 (*.f64 y (+.f64 1/2 y))))))
(*.f64 (/.f64 x (/.f64 (+.f64 1/64 (pow.f64 (*.f64 y (+.f64 1/2 y)) 3)) (-.f64 1/8 (pow.f64 y 3)))) (+.f64 1/16 (*.f64 (*.f64 y (+.f64 1/2 y)) (-.f64 (*.f64 y (+.f64 1/2 y)) 1/4))))
(*.f64 (/.f64 x (/.f64 (+.f64 1/64 (pow.f64 (*.f64 y (+.f64 1/2 y)) 3)) (-.f64 1/8 (pow.f64 y 3)))) (fma.f64 (*.f64 y (+.f64 1/2 y)) (fma.f64 y (+.f64 1/2 y) -1/4) 1/16))
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(/.f64 (-.f64 1/8 (pow.f64 y 3)) (/.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y))) x))
(*.f64 (/.f64 (-.f64 1/8 (pow.f64 y 3)) (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))) x)
(*.f64 x (/.f64 (-.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 1/2 y) 1/4)))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(*.f64 (/.f64 (-.f64 1/8 (pow.f64 y 3)) (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))) x)
(*.f64 x (/.f64 (-.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 1/2 y) 1/4)))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) (+.f64 (*.f64 (-.f64 1/2 y) x) 1)) 1) (+.f64 (*.f64 (-.f64 1/2 y) x) 2))
(/.f64 (fma.f64 (fma.f64 (-.f64 1/2 y) x 1) (fma.f64 (-.f64 1/2 y) x 1) -1) (fma.f64 (-.f64 1/2 y) x 2))
(/.f64 (fma.f64 x (-.f64 1/2 y) 2) (/.f64 (fma.f64 x (-.f64 1/2 y) 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) (+.f64 (*.f64 (-.f64 1/2 y) x) 1)) (+.f64 (*.f64 (-.f64 1/2 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3) -1) (fma.f64 (fma.f64 (-.f64 1/2 y) x 1) (fma.f64 (-.f64 1/2 y) x 1) (fma.f64 (-.f64 1/2 y) x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (-.f64 1/2 y) 1) 3)) (fma.f64 (fma.f64 x (-.f64 1/2 y) 1) (fma.f64 x (-.f64 1/2 y) 1) (fma.f64 x (-.f64 1/2 y) 2)))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 (neg.f64 y) (neg.f64 y)))) (+.f64 1/2 y))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 (neg.f64 y) 3))) (-.f64 (+.f64 1/4 (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 1/2 (neg.f64 y))))
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(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (-.f64 1/2 y) x) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (-.f64 1/2 y) x) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (-.f64 1/2 y) x) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) 1) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (-.f64 1/2 y) (*.f64 x (fma.f64 (-.f64 1/2 y) x (neg.f64 (log.f64 2)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (-.f64 1/2 y) (*.f64 x (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2)))) (pow.f64 (log.f64 2) 2)))
(pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(fabs.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 1 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 (-.f64 1/2 y) x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))

eval741.0ms (6.3%)

Compiler

Compiled 35367 to 20745 computations (41.3% saved)

prune408.0ms (3.5%)

Pruning

23 alts after pruning (17 fresh and 6 done)

PrunedKeptTotal
New124081248
Fresh099
Picked101
Done167
Total1242231265
Error
0.2b
Counts
1265 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
14.2b
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
0.5b
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
22.2b
(pow.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3) 1/3)
33.4b
(pow.f64 (+.f64 (*.f64 (+.f64 (*.f64 (log.f64 2) (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (*.f64 (-.f64 1/2 y) (pow.f64 (log.f64 2) 2))) x) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 1/4 (log.f64 2))) (log.f64 2)) (+.f64 (*.f64 (-.f64 1/2 y) (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (*.f64 1/8 (pow.f64 (log.f64 2) 2))))) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 (+.f64 (*.f64 1/8 (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 1/4 (log.f64 2))) (-.f64 1/2 y)) (*.f64 1/4 (*.f64 (-.f64 1/2 y) (log.f64 2))))) (pow.f64 x 3))))) 1/3)
57.6b
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
58.6b
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
49.3b
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
14.8b
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
7.5b
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
49.3b
(-.f64 (*.f64 1/2 x) (*.f64 x y))
0.5b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
7.0b
(-.f64 (log.f64 2) (*.f64 x y))
14.5b
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3) (log.f64 2))
19.2b
(+.f64 (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) (+.f64 (*.f64 (-.f64 1/2 y) x) 1)) 1) (+.f64 (*.f64 (-.f64 1/2 y) x) 2)) (log.f64 2))
14.3b
(+.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))) (log.f64 2))
14.2b
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
27.7b
(+.f64 (*.f64 1/2 x) (log.f64 2))
28.2b
(+.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 x))) (log.f64 2))
49.3b
(*.f64 (-.f64 1/2 y) x)
35.7b
(*.f64 x (neg.f64 y))
61.9b
(*.f64 1/2 x)
27.5b
(log1p.f64 (exp.f64 x))
27.7b
(log.f64 2)
Compiler

Compiled 648 to 532 computations (17.9% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
0.5b
(log1p.f64 (exp.f64 x))
Compiler

Compiled 18 to 6 computations (66.7% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite57.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1490×add-sqr-sqrt
1478×*-un-lft-identity
1364×add-cube-cbrt
1346×add-cbrt-cube
1328×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0921
117717
2211417
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y x) 1) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y x (log1p.f64 (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y x (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))) (sqrt.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (*.f64 y x) (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 y x) (log1p.f64 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))))))))

simplify66.0ms (0.6%)

Algorithm
egg-herbie
Rules
1088×associate-*r*
936×*-commutative
900×associate-*l*
786×+-commutative
758×associate--r+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0791060
1194970
2790968
33492926
47232926
Stop Event
node limit
Counts
46 → 51
Calls
Call 1
Inputs
(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)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(+.f64 (*.f64 y x) (log1p.f64 (exp.f64 x)))
(+.f64 (*.f64 (*.f64 y x) 1) (log1p.f64 (exp.f64 x)))
(-.f64 (+.f64 1 (fma.f64 y x (log1p.f64 (exp.f64 x)))) 1)
(*.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) 1)
(*.f64 1 (fma.f64 y x (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))) (sqrt.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (*.f64 y x) (log1p.f64 (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 y x) (log1p.f64 (exp.f64 x))))))
(pow.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) 1)
(pow.f64 (sqrt.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))))
Outputs
(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 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (neg.f64 y))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x)))
(fma.f64 1/8 (*.f64 x x) (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (neg.f64 y)))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (fma.f64 x (*.f64 x 1/8) (log.f64 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (neg.f64 y))))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(fma.f64 x (*.f64 x 1/8) (fma.f64 x (-.f64 1/2 y) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (*.f64 y x) (log1p.f64 (exp.f64 x)))
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (*.f64 (*.f64 y x) 1) (log1p.f64 (exp.f64 x)))
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(-.f64 (+.f64 1 (fma.f64 y x (log1p.f64 (exp.f64 x)))) 1)
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(*.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) 1)
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(*.f64 1 (fma.f64 y x (log1p.f64 (exp.f64 x))))
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))) (sqrt.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))))
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))) 2))
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))))
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (*.f64 y x) (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))
(/.f64 (fma.f64 (*.f64 x y) (*.f64 x y) (neg.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))
(/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 y x) (log1p.f64 (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (fma.f64 (*.f64 x y) (*.f64 x y) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 y (*.f64 x (log1p.f64 (exp.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (fma.f64 y (*.f64 x (*.f64 x y)) (*.f64 (log1p.f64 (exp.f64 x)) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))
(pow.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) 1)
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(pow.f64 (sqrt.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))) 2)
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(pow.f64 (cbrt.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))) 3)
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) 3) 1/3)
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(sqrt.f64 (pow.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) 2))
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log.f64 (exp.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))))
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(cbrt.f64 (pow.f64 (fma.f64 y x (log1p.f64 (exp.f64 x))) 3))
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(expm1.f64 (log1p.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))))
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (log.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))))
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))) 1))
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (fma.f64 y x (log1p.f64 (exp.f64 x)))))
(fma.f64 y x (log1p.f64 (exp.f64 x)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 1/2 y) x)
15.8b
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
Compiler

Compiled 33 to 18 computations (45.5% saved)

series4.0ms (0%)

Counts
2 → 36
Calls

12 calls:

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

rewrite74.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01144
125926
2383326
Stop Event
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
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(*.f64 x (-.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (-.f64 -1/2 y) x)))))) (#(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 (-.f64 1/2 y)) x))))) (#(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 (-.f64 1/4 (*.f64 y y)) 3) (pow.f64 (/.f64 (+.f64 y 1/2) x) 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 exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1))))) (#(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 (*.f64 (/.f64 1 x) y) (*.f64 (/.f64 1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) 1/2) (*.f64 (/.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (/.f64 1 x)) (*.f64 1/2 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 y (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 y 1/2) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y 1/2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y 1/2) (neg.f64 (neg.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y 1/2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 y 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y 1/2)) (*.f64 (sqrt.f64 (+.f64 y 1/2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 y 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 -1/2 y) x)) (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 y 1/2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 y 1/2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (-.f64 -1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 y 1/2) x))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 y 1/2) x))))))) (#(struct:change #<rule egg-rr> (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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 y 1/2)) 1) (/.f64 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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)))))))

simplify73.0ms (0.6%)

Algorithm
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
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)

localize24.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
1.0b
(-.f64 (+.f64 (log.f64 2) 1) 1)
Compiler

Compiled 31 to 24 computations (22.6% saved)

series0.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite100.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1318×associate-*r/
1190×associate-*l/
1064×*-commutative
416×associate-+l+
328×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01234
126622
2370622
Stop Event
node limit
Counts
2 → 217
Calls
Call 1
Inputs
(-.f64 (+.f64 (log.f64 2) 1) 1)
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log1p.f64 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (+.f64 (log1p.f64 1) -1) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (+.f64 (log1p.f64 1) -1) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 1) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 1) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (log1p.f64 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log1p.f64 1) (+.f64 2 (log1p.f64 1))) (/.f64 1 (+.f64 2 (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 2 (log1p.f64 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (+.f64 (log1p.f64 1) 1))) (-.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) 1) (+.f64 1 (sqrt.f64 (+.f64 (log1p.f64 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 (log1p.f64 1))) (*.f64 (log1p.f64 1) (+.f64 2 (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 2 (log1p.f64 1)))) (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log1p.f64 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 2 (log1p.f64 1)) (*.f64 (log1p.f64 1) (+.f64 2 (log1p.f64 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 2 (log1p.f64 1))) (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log1p.f64 1) (+.f64 2 (log1p.f64 1))) (+.f64 2 (log1p.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) 1) 3)) (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 2 (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) 1) 3)) (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (-.f64 1 (*.f64 (+.f64 (log1p.f64 1) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) 0) (log1p.f64 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 0 (pow.f64 (log1p.f64 1) 3)) (+.f64 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(2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 1) (*.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 (log1p.f64 1) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 1) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 1) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 1) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 1) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (log1p.f64 1) 1) (neg.f64 (+.f64 1 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) (sqrt.f64 (+.f64 (log1p.f64 1) 1)) (neg.f64 (+.f64 1 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 1) 1)) 2) (cbrt.f64 (+.f64 (log1p.f64 1) 1)) (neg.f64 (+.f64 1 (*.f64 x y))))))))

simplify173.0ms (1.5%)

Algorithm
egg-herbie
Rules
1784×associate--r+
1018×associate-+l+
884×fma-def
864×associate-+r+
516×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049911005
113629685
276489685
Stop Event
node limit
Counts
241 → 296
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 (log1p.f64 1) 0)
(+.f64 1 (+.f64 (log1p.f64 1) -1))
(+.f64 1 (+.f64 (+.f64 (log1p.f64 1) -1) 0))
(+.f64 1 (-.f64 (+.f64 (log1p.f64 1) -1) 0))
(+.f64 (+.f64 (log1p.f64 1) 1) -1)
(+.f64 0 (log1p.f64 1))
(+.f64 (+.f64 (log1p.f64 1) -1) 1)
(+.f64 -1 (+.f64 (log1p.f64 1) 1))
(*.f64 (log1p.f64 1) 1)
(*.f64 1 (log1p.f64 1))
(*.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)))
(*.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)))
(*.f64 (*.f64 (log1p.f64 1) (+.f64 2 (log1p.f64 1))) (/.f64 1 (+.f64 2 (log1p.f64 1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 2 (log1p.f64 1)))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 (log1p.f64 1) 1))) (-.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) 1))
(*.f64 (-.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) 1) (+.f64 1 (sqrt.f64 (+.f64 (log1p.f64 1) 1))))
(*.f64 (/.f64 1 (+.f64 2 (log1p.f64 1))) (*.f64 (log1p.f64 1) (+.f64 2 (log1p.f64 1))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 2 (log1p.f64 1)))) (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) 1) 3)))
(/.f64 (log1p.f64 1) 1)
(/.f64 1 (/.f64 (+.f64 2 (log1p.f64 1)) (*.f64 (log1p.f64 1) (+.f64 2 (log1p.f64 1)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 2 (log1p.f64 1))) (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) 1) 3))))
(/.f64 (*.f64 (log1p.f64 1) (+.f64 2 (log1p.f64 1))) (+.f64 2 (log1p.f64 1)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) 1) 3)) (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 2 (log1p.f64 1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) 1) 3)) (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (-.f64 1 (*.f64 (+.f64 (log1p.f64 1) 1) -1))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) 0) (log1p.f64 1))
(/.f64 (+.f64 0 (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 0 (*.f64 (log1p.f64 1) 0))))
(/.f64 (neg.f64 (*.f64 (log1p.f64 1) (+.f64 2 (log1p.f64 1)))) (neg.f64 (+.f64 2 (log1p.f64 1))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) 1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 2 (log1p.f64 1)))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (log1p.f64 1) 2) 0)) (log1p.f64 1))
(/.f64 (*.f64 1 (+.f64 0 (pow.f64 (log1p.f64 1) 3))) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 0 (*.f64 (log1p.f64 1) 0))))
(/.f64 (*.f64 1 (neg.f64 (*.f64 (log1p.f64 1) (+.f64 2 (log1p.f64 1))))) (neg.f64 (+.f64 2 (log1p.f64 1))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) 1) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 2 (log1p.f64 1)))))
(/.f64 (*.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 (log1p.f64 1) (+.f64 2 (log1p.f64 1))))) (sqrt.f64 (+.f64 2 (log1p.f64 1))))
(/.f64 (*.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) 1) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 2 (log1p.f64 1)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (*.f64 (log1p.f64 1) (+.f64 2 (log1p.f64 1))))) (cbrt.f64 (+.f64 2 (log1p.f64 1))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) 1) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 2 (log1p.f64 1)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) 0) 1) (log1p.f64 1))
(/.f64 (*.f64 (+.f64 0 (pow.f64 (log1p.f64 1) 3)) 1) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 0 (*.f64 (log1p.f64 1) 0))))
(/.f64 (*.f64 (neg.f64 (*.f64 (log1p.f64 1) (+.f64 2 (log1p.f64 1)))) 1) (neg.f64 (+.f64 2 (log1p.f64 1))))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) 1) 3))) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 2 (log1p.f64 1)))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (log1p.f64 1) (+.f64 2 (log1p.f64 1)))) (sqrt.f64 (log1p.f64 1))) (sqrt.f64 (+.f64 2 (log1p.f64 1))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) 1) 3))) (sqrt.f64 (log1p.f64 1))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 2 (log1p.f64 1)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (log1p.f64 1) (+.f64 2 (log1p.f64 1)))) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2)) (cbrt.f64 (+.f64 2 (log1p.f64 1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) 1) 3))) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 2 (log1p.f64 1)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (pow.f64 (+.f64 (log1p.f64 1) 1) 2)) 1) (/.f64 1 (+.f64 2 (log1p.f64 1)))) (+.f64 1 (pow.f64 (+.f64 (log1p.f64 1) 1) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) 3) 1) (/.f64 1 (+.f64 2 (log1p.f64 1)))) (+.f64 (*.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (pow.f64 (+.f64 (log1p.f64 1) 1) 2)) (+.f64 1 (pow.f64 (+.f64 (log1p.f64 1) 1) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 3) (pow.f64 (+.f64 (log1p.f64 1) 1) 3)) 1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 2 (log1p.f64 1))))) (+.f64 1 (pow.f64 (+.f64 (log1p.f64 1) 1) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 3) 3) 1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 2 (log1p.f64 1))))) (+.f64 (*.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 3) (pow.f64 (+.f64 (log1p.f64 1) 1) 3)) (+.f64 1 (pow.f64 (+.f64 (log1p.f64 1) 1) 3))))
(/.f64 (/.f64 (*.f64 (log1p.f64 1) (+.f64 2 (log1p.f64 1))) 1) (+.f64 2 (log1p.f64 1)))
(/.f64 (/.f64 (*.f64 (log1p.f64 1) (+.f64 2 (log1p.f64 1))) (sqrt.f64 (+.f64 2 (log1p.f64 1)))) (sqrt.f64 (+.f64 2 (log1p.f64 1))))
(/.f64 (/.f64 (*.f64 (log1p.f64 1) (+.f64 2 (log1p.f64 1))) (*.f64 (cbrt.f64 (+.f64 2 (log1p.f64 1))) (cbrt.f64 (+.f64 2 (log1p.f64 1))))) (cbrt.f64 (+.f64 2 (log1p.f64 1))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) 1) 3)) 1) (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 2 (log1p.f64 1))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) 1) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 2 (log1p.f64 1))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 2 (log1p.f64 1)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) 1) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 2 (log1p.f64 1)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 2 (log1p.f64 1)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 2 (log1p.f64 1)))))
(pow.f64 (log1p.f64 1) 1)
(pow.f64 (sqrt.f64 (log1p.f64 1)) 2)
(pow.f64 (cbrt.f64 (log1p.f64 1)) 3)
(pow.f64 (pow.f64 (log1p.f64 1) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 1) 2))
(log.f64 2)
(cbrt.f64 (pow.f64 (log1p.f64 1) 3))
(expm1.f64 (log1p.f64 (log1p.f64 1)))
(exp.f64 (log.f64 (log1p.f64 1)))
(log1p.f64 1)
(fma.f64 1 (log1p.f64 1) 0)
(fma.f64 1 (+.f64 (log1p.f64 1) 1) -1)
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) 0)
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) (sqrt.f64 (+.f64 (log1p.f64 1) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 1) 1)) 2) (cbrt.f64 (+.f64 (log1p.f64 1) 1)) -1)
(+.f64 (log1p.f64 1) (*.f64 y (neg.f64 x)))
(+.f64 (log1p.f64 1) (+.f64 1 (-.f64 -1 (*.f64 x y))))
(+.f64 (log1p.f64 1) (+.f64 1 (neg.f64 (+.f64 1 (*.f64 x y)))))
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(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (*.f64 (+.f64 1 (*.f64 x y)) (+.f64 1 (*.f64 x y)))) 1) (+.f64 (+.f64 2 (log1p.f64 1)) (*.f64 x y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 y (neg.f64 x)) 3)) 1) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 (log1p.f64 1) (*.f64 y (neg.f64 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 3) (pow.f64 (+.f64 1 (*.f64 x y)) 3)) 1) (+.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (*.f64 (+.f64 1 (*.f64 x y)) (+.f64 1 (*.f64 x y)))) (*.f64 (+.f64 (log1p.f64 1) 1) (+.f64 1 (*.f64 x y)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x y) 2))) 1) (neg.f64 (+.f64 (log1p.f64 1) (*.f64 x y))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3))) 1) (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 1) (*.f64 x y))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x y) 2))) (sqrt.f64 (-.f64 (log1p.f64 1) (*.f64 x y)))) (sqrt.f64 (+.f64 (log1p.f64 1) (*.f64 x y))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3))) (sqrt.f64 (-.f64 (log1p.f64 1) (*.f64 x y)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 1) (*.f64 x y))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x y) 2))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (*.f64 x y))) 2)) (cbrt.f64 (+.f64 (log1p.f64 1) (*.f64 x y))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (*.f64 x y))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 1) (*.f64 x y))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 1) 2)) (*.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 x y) 2))) (/.f64 1 (+.f64 (log1p.f64 1) (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log1p.f64 1) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 1) 2) 3) (pow.f64 (pow.f64 (*.f64 x y) 2) 3)) (/.f64 1 (+.f64 (log1p.f64 1) (*.f64 x y)))) (+.f64 (*.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log1p.f64 1) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 x y) 2)) (*.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log1p.f64 1) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 1) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x y) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 1) (*.f64 x y)))))) (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 1) 3) 3) (pow.f64 (pow.f64 (*.f64 x y) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 1) (*.f64 x y)))))) (+.f64 (*.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (*.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x y) 2)) 1) (+.f64 (log1p.f64 1) (*.f64 x y)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x y) 2)) (sqrt.f64 (+.f64 (log1p.f64 1) (*.f64 x y)))) (sqrt.f64 (+.f64 (log1p.f64 1) (*.f64 x y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x y) 2)) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 1) (*.f64 x y))) (cbrt.f64 (+.f64 (log1p.f64 1) (*.f64 x y))))) (cbrt.f64 (+.f64 (log1p.f64 1) (*.f64 x y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 1) (*.f64 x y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 1) (*.f64 x y)))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 1) (*.f64 x y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 1) (*.f64 x y))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 1) (*.f64 x y))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 1) (*.f64 x y))))))
(pow.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (*.f64 x y))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) 2))
(log.f64 (/.f64 2 (pow.f64 (exp.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 1) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 1) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 1) (*.f64 x y))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 1) (*.f64 x y))))
(fma.f64 1 (log1p.f64 1) (*.f64 y (neg.f64 x)))
(fma.f64 1 (+.f64 (log1p.f64 1) 1) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) (sqrt.f64 (+.f64 (log1p.f64 1) 1)) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 y (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 1) 1)) 2) (cbrt.f64 (+.f64 (log1p.f64 1) 1)) (neg.f64 (+.f64 1 (*.f64 x y))))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) (log.f64 2))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) (log.f64 2))
(+.f64 (log1p.f64 1) 0)
(log1p.f64 1)
(+.f64 1 (+.f64 (log1p.f64 1) -1))
(log1p.f64 1)
(+.f64 1 (+.f64 (+.f64 (log1p.f64 1) -1) 0))
(log1p.f64 1)
(+.f64 1 (-.f64 (+.f64 (log1p.f64 1) -1) 0))
(log1p.f64 1)
(+.f64 (+.f64 (log1p.f64 1) 1) -1)
(log1p.f64 1)
(+.f64 0 (log1p.f64 1))
(log1p.f64 1)
(+.f64 (+.f64 (log1p.f64 1) -1) 1)
(log1p.f64 1)
(+.f64 -1 (+.f64 (log1p.f64 1) 1))
(log1p.f64 1)
(*.f64 (log1p.f64 1) 1)
(log1p.f64 1)
(*.f64 1 (log1p.f64 1))
(log1p.f64 1)
(*.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)))
(log1p.f64 1)
(*.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2))
(log1p.f64 1)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)))
(log1p.f64 1)
(*.f64 (*.f64 (log1p.f64 1) (+.f64 2 (log1p.f64 1))) (/.f64 1 (+.f64 2 (log1p.f64 1))))
(log1p.f64 1)
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 2 (log1p.f64 1)))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 1)) 3)) 1) (+.f64 (+.f64 2 (log1p.f64 1)) (pow.f64 (+.f64 1 (log1p.f64 1)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 1)) 3)) (+.f64 2 (+.f64 (log1p.f64 1) (pow.f64 (+.f64 1 (log1p.f64 1)) 2))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 (log1p.f64 1) 1))) (-.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) 1))
(log1p.f64 1)
(*.f64 (-.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) 1) (+.f64 1 (sqrt.f64 (+.f64 (log1p.f64 1) 1))))
(log1p.f64 1)
(*.f64 (/.f64 1 (+.f64 2 (log1p.f64 1))) (*.f64 (log1p.f64 1) (+.f64 2 (log1p.f64 1))))
(log1p.f64 1)
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 2 (log1p.f64 1)))) (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) 1) 3)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 1)) 3)) 1) (+.f64 (+.f64 2 (log1p.f64 1)) (pow.f64 (+.f64 1 (log1p.f64 1)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 1)) 3)) (+.f64 2 (+.f64 (log1p.f64 1) (pow.f64 (+.f64 1 (log1p.f64 1)) 2))))
(/.f64 (log1p.f64 1) 1)
(log1p.f64 1)
(/.f64 1 (/.f64 (+.f64 2 (log1p.f64 1)) (*.f64 (log1p.f64 1) (+.f64 2 (log1p.f64 1)))))
(log1p.f64 1)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 2 (log1p.f64 1))) (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) 1) 3))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 1)) 3)) 1) (+.f64 (+.f64 2 (log1p.f64 1)) (pow.f64 (+.f64 1 (log1p.f64 1)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 1)) 3)) (+.f64 2 (+.f64 (log1p.f64 1) (pow.f64 (+.f64 1 (log1p.f64 1)) 2))))
(/.f64 (*.f64 (log1p.f64 1) (+.f64 2 (log1p.f64 1))) (+.f64 2 (log1p.f64 1)))
(log1p.f64 1)
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) 1) 3)) (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 2 (log1p.f64 1))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 1)) 3)) 1) (+.f64 (+.f64 2 (log1p.f64 1)) (pow.f64 (+.f64 1 (log1p.f64 1)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 1)) 3)) (+.f64 2 (+.f64 (log1p.f64 1) (pow.f64 (+.f64 1 (log1p.f64 1)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) 1) 3)) (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (-.f64 1 (*.f64 (+.f64 (log1p.f64 1) 1) -1))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 1)) 3)) 1) (+.f64 (+.f64 2 (log1p.f64 1)) (pow.f64 (+.f64 1 (log1p.f64 1)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 1)) 3)) (+.f64 2 (+.f64 (log1p.f64 1) (pow.f64 (+.f64 1 (log1p.f64 1)) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) 0) (log1p.f64 1))
(/.f64 (pow.f64 (log1p.f64 1) 2) (log1p.f64 1))
(/.f64 (+.f64 0 (pow.f64 (log1p.f64 1) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 0 (*.f64 (log1p.f64 1) 0))))
(/.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 1) 2))
(/.f64 (neg.f64 (*.f64 (log1p.f64 1) (+.f64 2 (log1p.f64 1)))) (neg.f64 (+.f64 2 (log1p.f64 1))))
(log1p.f64 1)
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) 1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 2 (log1p.f64 1)))))
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (+.f64 1 (log1p.f64 1)) 3))) (neg.f64 (+.f64 (+.f64 2 (log1p.f64 1)) (pow.f64 (+.f64 1 (log1p.f64 1)) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (log1p.f64 1)) 3)) (-.f64 (-.f64 -2 (log1p.f64 1)) (pow.f64 (+.f64 1 (log1p.f64 1)) 2)))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (log1p.f64 1) 2) 0)) (log1p.f64 1))
(/.f64 (pow.f64 (log1p.f64 1) 2) (log1p.f64 1))
(/.f64 (*.f64 1 (+.f64 0 (pow.f64 (log1p.f64 1) 3))) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 0 (*.f64 (log1p.f64 1) 0))))
(/.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log1p.f64 1) 2))
(/.f64 (*.f64 1 (neg.f64 (*.f64 (log1p.f64 1) (+.f64 2 (log1p.f64 1))))) (neg.f64 (+.f64 2 (log1p.f64 1))))
(log1p.f64 1)
(/.f64 (*.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) 1) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 2 (log1p.f64 1)))))
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (+.f64 1 (log1p.f64 1)) 3))) (neg.f64 (+.f64 (+.f64 2 (log1p.f64 1)) (pow.f64 (+.f64 1 (log1p.f64 1)) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (log1p.f64 1)) 3)) (-.f64 (-.f64 -2 (log1p.f64 1)) (pow.f64 (+.f64 1 (log1p.f64 1)) 2)))
(/.f64 (*.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 (log1p.f64 1) (+.f64 2 (log1p.f64 1))))) (sqrt.f64 (+.f64 2 (log1p.f64 1))))
(/.f64 (sqrt.f64 (*.f64 (log1p.f64 1) (+.f64 2 (log1p.f64 1)))) (/.f64 (sqrt.f64 (+.f64 2 (log1p.f64 1))) (sqrt.f64 (log1p.f64 1))))
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(/.f64 (*.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 1) 1) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 2 (log1p.f64 1)))))
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(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 1) 3) 3) (pow.f64 (pow.f64 (*.f64 y x) 3) 3)) (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 6) (+.f64 (pow.f64 (*.f64 y x) 6) (*.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 y x) 3)))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 y x) (+.f64 (log1p.f64 1) (*.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 1) 3) 3) (pow.f64 (pow.f64 (*.f64 y x) 3) 3)) (*.f64 (fma.f64 (pow.f64 (*.f64 y x) 3) (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 y x) 3)) (pow.f64 (log1p.f64 1) 6)) (fma.f64 x (*.f64 y (fma.f64 y x (log1p.f64 1))) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x y) 2)) 1) (+.f64 (log1p.f64 1) (*.f64 x y)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 (log1p.f64 1) (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 y x (log1p.f64 1)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x y) 2)) (sqrt.f64 (+.f64 (log1p.f64 1) (*.f64 x y)))) (sqrt.f64 (+.f64 (log1p.f64 1) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 (log1p.f64 1) (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 y x (log1p.f64 1)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x y) 2)) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 1) (*.f64 x y))) (cbrt.f64 (+.f64 (log1p.f64 1) (*.f64 x y))))) (cbrt.f64 (+.f64 (log1p.f64 1) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 (log1p.f64 1) (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 y x (log1p.f64 1)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 1) (*.f64 x y)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 y x) (+.f64 (log1p.f64 1) (*.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 x (*.f64 y (fma.f64 y x (log1p.f64 1))) (pow.f64 (log1p.f64 1) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 1) (*.f64 x y)))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 1) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 y x) (+.f64 (log1p.f64 1) (*.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 x (*.f64 y (fma.f64 y x (log1p.f64 1))) (pow.f64 (log1p.f64 1) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 1) (*.f64 x y))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 1) (*.f64 x y))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 1) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 y x) (+.f64 (log1p.f64 1) (*.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 x (*.f64 y (fma.f64 y x (log1p.f64 1))) (pow.f64 (log1p.f64 1) 2)))
(pow.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) 1)
(-.f64 (log1p.f64 1) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log1p.f64 1))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (*.f64 x y))) 2)
(-.f64 (log1p.f64 1) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log1p.f64 1))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (*.f64 x y))) 3)
(-.f64 (log1p.f64 1) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log1p.f64 1))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) 3) 1/3)
(-.f64 (log1p.f64 1) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log1p.f64 1))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) 2))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 1) (*.f64 y x)) 2))
(fabs.f64 (fma.f64 y (neg.f64 x) (log1p.f64 1)))
(log.f64 (/.f64 2 (pow.f64 (exp.f64 x) y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 1) (*.f64 x y)))))
(-.f64 (log1p.f64 1) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log1p.f64 1))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) 3))
(-.f64 (log1p.f64 1) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log1p.f64 1))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 1) (*.f64 x y))))
(-.f64 (log1p.f64 1) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log1p.f64 1))
(exp.f64 (log.f64 (-.f64 (log1p.f64 1) (*.f64 x y))))
(-.f64 (log1p.f64 1) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log1p.f64 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 1) (*.f64 x y))))
(-.f64 (log1p.f64 1) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log1p.f64 1))
(fma.f64 1 (log1p.f64 1) (*.f64 y (neg.f64 x)))
(-.f64 (log1p.f64 1) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log1p.f64 1))
(fma.f64 1 (+.f64 (log1p.f64 1) 1) (neg.f64 (+.f64 1 (*.f64 x y))))
(-.f64 (log1p.f64 1) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log1p.f64 1))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 y (neg.f64 x)))
(-.f64 (log1p.f64 1) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log1p.f64 1))
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) (sqrt.f64 (+.f64 (log1p.f64 1) 1)) (neg.f64 (+.f64 1 (*.f64 x y))))
(-.f64 (log1p.f64 1) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 y (neg.f64 x)))
(-.f64 (log1p.f64 1) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 1) 1)) 2) (cbrt.f64 (+.f64 (log1p.f64 1) 1)) (neg.f64 (+.f64 1 (*.f64 x y))))
(-.f64 (log1p.f64 1) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log1p.f64 1))

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 x))) (log.f64 2))
0.0b
(expm1.f64 (log1p.f64 (*.f64 1/2 x)))
Compiler

Compiled 27 to 22 computations (18.5% saved)

series8.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
(expm1.f64 (log1p.f64 (*.f64 1/2 x)))
0.0ms
x
@inf
(expm1.f64 (log1p.f64 (*.f64 1/2 x)))
0.0ms
x
@0
(expm1.f64 (log1p.f64 (*.f64 1/2 x)))
0.0ms
x
@0
(+.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 x))) (log.f64 2))
0.0ms
x
@inf
(+.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 x))) (log.f64 2))

rewrite84.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
816×*-commutative
626×unswap-sqr
486×swap-sqr
410×associate-*r/
396×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01124
122420
2249720
Stop Event
node limit
Counts
2 → 147
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (*.f64 1/2 x)))
(+.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 x))) (log.f64 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 1/2 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 1/2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/2 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (*.f64 1/2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/2 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/2 x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 1/2 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 1/2 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 1/2 x) 2) (*.f64 1/2 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2) (+.f64 (*.f64 1/2 x) 2))))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 1/2 x) (log.f64 2))) (/.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 1/2 x) (log.f64 2)))) (*.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 x) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 x) (log.f64 2))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (-.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 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 neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (neg.f64 (-.f64 (*.f64 1/2 x) (log.f64 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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 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (log.f64 2))))) (#(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 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.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))))))

simplify112.0ms (1%)

Algorithm
egg-herbie
Rules
1716×associate-*l/
826×+-commutative
822×associate-+l-
742×associate-+r-
600×associate--l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03866811
110586319
248106319
Stop Event
node limit
Counts
171 → 204
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) 0)
(+.f64 1 (+.f64 (*.f64 1/2 x) -1))
(+.f64 1 (-.f64 (*.f64 1/2 x) 1))
(+.f64 (+.f64 (*.f64 1/2 x) 1) -1)
(+.f64 -1 (+.f64 (*.f64 1/2 x) 1))
(-.f64 (+.f64 (*.f64 1/2 x) 1) 1)
(-.f64 (+.f64 (*.f64 1/2 x) 2) 2)
(*.f64 1/2 x)
(*.f64 x 1/2)
(*.f64 (*.f64 1/2 x) 1)
(*.f64 1 (*.f64 1/2 x))
(*.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)))
(*.f64 (sqrt.f64 x) (*.f64 1/2 (sqrt.f64 x)))
(*.f64 (cbrt.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)))
(*.f64 (cbrt.f64 x) (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 1/2 (cbrt.f64 x)))
(*.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 1/2 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (*.f64 (+.f64 (*.f64 1/2 x) 2) (*.f64 1/2 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 2)))
(*.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2) (+.f64 (*.f64 1/2 x) 2))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/2 x))) (cbrt.f64 (*.f64 1/2 x))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/2 x))) (cbrt.f64 (*.f64 1/2 x))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/2 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/2 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 1/2 x)) (sqrt.f64 (cbrt.f64 (*.f64 1/2 x)))) (*.f64 (cbrt.f64 (*.f64 1/2 x)) (sqrt.f64 (cbrt.f64 (*.f64 1/2 x)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 1/2 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 1/2 x)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 1/2 x) 1)) 1) (-.f64 (sqrt.f64 (+.f64 (*.f64 1/2 x) 1)) 1))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 3/2) (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 3/2))
(*.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/8) 1/6) (pow.f64 (*.f64 (pow.f64 x 3) 1/8) 1/6))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/2 x) 2) (*.f64 (+.f64 (*.f64 1/2 x) 2) (*.f64 1/2 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2) (+.f64 (*.f64 1/2 x) 2)) (+.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 3) -1)))
(/.f64 (*.f64 (+.f64 (*.f64 1/2 x) 2) (*.f64 1/2 x)) (+.f64 (*.f64 1/2 x) 2))
(/.f64 (*.f64 (+.f64 (*.f64 1/2 x) 2) (*.f64 1/2 x)) (-.f64 (+.f64 (*.f64 1/2 x) 1) -1))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2) (+.f64 (*.f64 1/2 x) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2) (-.f64 1 (*.f64 (+.f64 (*.f64 1/2 x) 1) -1))))
(/.f64 (*.f64 1 (*.f64 (+.f64 (*.f64 1/2 x) 2) (*.f64 1/2 x))) (+.f64 (*.f64 1/2 x) 2))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 3) -1)) (+.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2) (+.f64 (*.f64 1/2 x) 2)))
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/2 x) 2) (*.f64 1/2 x)) 1) (+.f64 (*.f64 1/2 x) 2))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 3) -1) 1) (+.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2) (+.f64 (*.f64 1/2 x) 2)))
(pow.f64 (*.f64 1/2 x) 1)
(pow.f64 (sqrt.f64 (*.f64 1/2 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/2 x)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 1/8) 1/3)
(sqrt.f64 (*.f64 (*.f64 x x) 1/4))
(log.f64 (pow.f64 (exp.f64 x) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/8))
(exp.f64 (log.f64 (*.f64 1/2 x)))
(log1p.f64 (expm1.f64 (*.f64 1/2 x)))
(-.f64 (+.f64 (*.f64 1/2 x) 1) (-.f64 1 (log.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (log.f64 2))) (+.f64 1 (*.f64 x -1/2)))
(-.f64 (+.f64 (*.f64 1/2 x) 2) (+.f64 1 (-.f64 1 (log.f64 2))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (-.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 (fma.f64 1/2 x (log.f64 2)) 1) 1)
(-.f64 (+.f64 (*.f64 1/2 x) (exp.f64 (log1p.f64 (log.f64 2)))) 1)
(*.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 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(*.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2))))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 -1/4 (*.f64 x x))) (/.f64 1 (+.f64 (log.f64 2) (*.f64 x -1/2))))
(*.f64 (/.f64 1 (-.f64 (*.f64 1/2 x) (log.f64 2))) (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)))
(*.f64 (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2))))) (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)))
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))) (/.f64 1 (neg.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)))))
(*.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))) (/.f64 1 (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))) (fma.f64 1/2 x (log.f64 2)))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))) (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (fma.f64 1/2 x (log.f64 2)))))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (-.f64 (*.f64 1/16 (pow.f64 x 4)) (pow.f64 (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2))) 2))) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 x x) 1/4) 3) (pow.f64 (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2))) 3))) (+.f64 (*.f64 1/16 (pow.f64 x 4)) (*.f64 (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2))) (-.f64 (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2))) (*.f64 (*.f64 x x) 1/4)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))) (*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/6))
(*.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (-.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 (log.f64 2))))) (+.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (-.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (*.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (*.f64 1/2 x))))) (+.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (*.f64 1/2 x))))
(/.f64 (fma.f64 1/2 x (log.f64 2)) (/.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)) (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 1 (/.f64 1 (fma.f64 1/2 x (log.f64 2))))
(/.f64 1 (/.f64 (/.f64 1 (fma.f64 1/2 x (log.f64 2))) 1))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) (*.f64 x -1/2)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 -1/4 (*.f64 x x)))))
(/.f64 1 (/.f64 (neg.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)))))
(/.f64 1 (/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2))))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))))
(/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) (fma.f64 1/2 x (log.f64 2))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))) (/.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)) (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))) (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))) (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)))) (/.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)) (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)))) (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 -1/4 (*.f64 x x))) (+.f64 (log.f64 2) (*.f64 x -1/2)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/64) (pow.f64 (log.f64 2) 6)) (*.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) (-.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))))
(/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 2) 4)) (*.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)) (+.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/8) 3) (pow.f64 (pow.f64 (log.f64 2) 3) 3)) (*.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))) (-.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/64) (pow.f64 (log.f64 2) 6)) (*.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) 1/4) 3) (pow.f64 (pow.f64 (log.f64 2) 2) 3)) (*.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)) (+.f64 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 2) 4)) (pow.f64 (*.f64 1/2 (*.f64 x (log.f64 2))) 2))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)))) (sqrt.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)))) (cbrt.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 -1/4 (*.f64 x x))) 1) (+.f64 (log.f64 2) (*.f64 x -1/2)))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))) 1) (neg.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))) 1) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))) (sqrt.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)) (cbrt.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2))))))
(/.f64 (*.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 2) 4)) (/.f64 1 (-.f64 (*.f64 1/2 x) (log.f64 2)))) (+.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) 1/4) 3) (pow.f64 (pow.f64 (log.f64 2) 2) 3)) (/.f64 1 (-.f64 (*.f64 1/2 x) (log.f64 2)))) (+.f64 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 2) 4)) (pow.f64 (*.f64 1/2 (*.f64 x (log.f64 2))) 2)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/64) (pow.f64 (log.f64 2) 6)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))))) (-.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/8) 3) (pow.f64 (pow.f64 (log.f64 2) 3) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))))) (-.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/64) (pow.f64 (log.f64 2) 6)) (*.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) 1) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (sqrt.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)))) (sqrt.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))) (cbrt.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))) (cbrt.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (+.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (log.f64 2)))) (-.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (log.f64 2))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) 1) (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2))))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2))))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2) (*.f64 (-.f64 1 (log.f64 2)) (-.f64 1 (log.f64 2)))) (+.f64 (+.f64 (*.f64 1/2 x) 1) (-.f64 1 (log.f64 2))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) 1))
(/.f64 (-.f64 (*.f64 (+.f64 (fma.f64 1/2 x (log.f64 2)) 1) (+.f64 (fma.f64 1/2 x (log.f64 2)) 1)) 1) (+.f64 (+.f64 (fma.f64 1/2 x (log.f64 2)) 1) 1))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 1/2 x) (log.f64 2))) (/.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 1/2 x) (log.f64 2)))) (*.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 x) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 x) (log.f64 2))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 1/2 x) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 x) (log.f64 2)))))
(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)
(neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (neg.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)))))
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)))))))
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 x))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.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 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.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))
Outputs
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) 0)
(*.f64 1/2 x)
(+.f64 1 (+.f64 (*.f64 1/2 x) -1))
(*.f64 1/2 x)
(+.f64 1 (-.f64 (*.f64 1/2 x) 1))
(*.f64 1/2 x)
(+.f64 (+.f64 (*.f64 1/2 x) 1) -1)
(*.f64 1/2 x)
(+.f64 -1 (+.f64 (*.f64 1/2 x) 1))
(*.f64 1/2 x)
(-.f64 (+.f64 (*.f64 1/2 x) 1) 1)
(*.f64 1/2 x)
(-.f64 (+.f64 (*.f64 1/2 x) 2) 2)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 x 1/2)
(*.f64 1/2 x)
(*.f64 (*.f64 1/2 x) 1)
(*.f64 1/2 x)
(*.f64 1 (*.f64 1/2 x))
(*.f64 1/2 x)
(*.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)))
(*.f64 1/2 x)
(*.f64 (sqrt.f64 x) (*.f64 1/2 (sqrt.f64 x)))
(*.f64 1/2 x)
(*.f64 (cbrt.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2))
(*.f64 1/2 x)
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(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 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.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))

eval361.0ms (3.1%)

Compiler

Compiled 14147 to 9767 computations (31% saved)

prune176.0ms (1.5%)

Pruning

31 alts after pruning (21 fresh and 10 done)

PrunedKeptTotal
New68314697
Fresh5712
Picked011
Done1910
Total68931720
Error
0.2b
Counts
720 → 31
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
7.0b
(fma.f64 (neg.f64 y) x (log.f64 2))
22.2b
(pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) 3) 1/3)
33.4b
(pow.f64 (+.f64 (*.f64 (+.f64 (*.f64 (log.f64 2) (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (*.f64 (-.f64 1/2 y) (pow.f64 (log.f64 2) 2))) x) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 1/4 (log.f64 2))) (log.f64 2)) (+.f64 (*.f64 (-.f64 1/2 y) (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (*.f64 1/8 (pow.f64 (log.f64 2) 2))))) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 (+.f64 (*.f64 1/8 (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 1/4 (log.f64 2))) (-.f64 1/2 y)) (*.f64 1/4 (*.f64 (-.f64 1/2 y) (log.f64 2))))) (pow.f64 x 3))))) 1/3)
57.9b
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 y x))
62.2b
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1/2 x))
57.6b
(/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 (/.f64 y x) (/.f64 1/2 x)))
57.6b
(/.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 (/.f64 1 x) (+.f64 y 1/2)))
58.6b
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
49.3b
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
14.8b
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
7.5b
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
28.2b
(-.f64 (+.f64 (*.f64 1/2 x) 2) (+.f64 1 (-.f64 1 (log.f64 2))))
49.3b
(-.f64 (*.f64 1/2 x) (*.f64 x y))
0.5b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
7.0b
(-.f64 (log.f64 2) (*.f64 x y))
27.7b
(+.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 3) (log.f64 2))
27.9b
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 x) 2) (*.f64 1/2 x)) (+.f64 (*.f64 1/2 x) 2)) (log.f64 2))
14.3b
(+.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))) (log.f64 2))
14.2b
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
27.9b
(+.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/2 x) 2) (*.f64 1/2 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 2))) (log.f64 2))
27.7b
(+.f64 (*.f64 x 1/2) (log.f64 2))
28.2b
(+.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 x))) (log.f64 2))
57.6b
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
58.6b
(*.f64 (/.f64 1 (+.f64 y 1/2)) (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 x)))
49.3b
(*.f64 (-.f64 1/2 y) x)
57.6b
(*.f64 (+.f64 (*.f64 y y) -1/4) (/.f64 1 (/.f64 (-.f64 -1/2 y) x)))
35.7b
(*.f64 x (neg.f64 y))
61.9b
(*.f64 1/2 x)
27.5b
(log1p.f64 (exp.f64 x))
27.7b
(log.f64 2)
Compiler

Compiled 459 to 370 computations (19.4% saved)

regimes100.0ms (0.8%)

Counts
44 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(-.f64 (*.f64 1/2 x) (*.f64 x y))
(/.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 (*.f64 y y) -1/4) (/.f64 1 (/.f64 (-.f64 -1/2 y) x)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 (/.f64 1 x) (+.f64 y 1/2)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 (/.f64 y x) (/.f64 1/2 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 (*.f64 x 1/2) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))) (log.f64 2))
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
(-.f64 (+.f64 (*.f64 1/2 x) 2) (+.f64 1 (-.f64 1 (log.f64 2))))
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 x) 2) (*.f64 1/2 x)) (+.f64 (*.f64 1/2 x) 2)) (log.f64 2))
(+.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/2 x) 2) (*.f64 1/2 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 2))) (log.f64 2))
(+.f64 (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) (+.f64 (*.f64 (-.f64 1/2 y) x) 1)) 1) (+.f64 (*.f64 (-.f64 1/2 y) x) 2)) (log.f64 2))
(log1p.f64 (exp.f64 x))
(fma.f64 (neg.f64 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))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 x))) (log.f64 2))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 3) (log.f64 2))
(+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3) 1/3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) 3) 1/3)
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3) (log.f64 2))
(+.f64 (*.f64 x (neg.f64 y)) (+.f64 (log1p.f64 (exp.f64 x)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1) (*.f64 x y))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.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 (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))))))
(pow.f64 (+.f64 (*.f64 (+.f64 (*.f64 (log.f64 2) (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (*.f64 (-.f64 1/2 y) (pow.f64 (log.f64 2) 2))) x) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 1/4 (log.f64 2))) (log.f64 2)) (+.f64 (*.f64 (-.f64 1/2 y) (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (*.f64 1/8 (pow.f64 (log.f64 2) 2))))) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 (+.f64 (*.f64 1/8 (+.f64 (*.f64 (log.f64 2) (-.f64 1/2 y)) (*.f64 (-.f64 1/2 y) (log.f64 2)))) (+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 1/4 (log.f64 2))) (-.f64 1/2 y)) (*.f64 1/4 (*.f64 (-.f64 1/2 y) (log.f64 2))))) (pow.f64 x 3))))) 1/3)
Outputs
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
Calls

3 calls:

38.0ms
y
29.0ms
x
11.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Results
ErrorSegmentsBranch
0.5b1x
0.5b1y
0.5b1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 614 to 406 computations (33.9% saved)

regimes46.0ms (0.4%)

Counts
31 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(-.f64 (*.f64 1/2 x) (*.f64 x y))
(/.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 (*.f64 y y) -1/4) (/.f64 1 (/.f64 (-.f64 -1/2 y) x)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 (/.f64 1 x) (+.f64 y 1/2)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 (/.f64 y x) (/.f64 1/2 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 (*.f64 x 1/2) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))) (log.f64 2))
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
(-.f64 (+.f64 (*.f64 1/2 x) 2) (+.f64 1 (-.f64 1 (log.f64 2))))
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 x) 2) (*.f64 1/2 x)) (+.f64 (*.f64 1/2 x) 2)) (log.f64 2))
(+.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/2 x) 2) (*.f64 1/2 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 2))) (log.f64 2))
(+.f64 (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) (+.f64 (*.f64 (-.f64 1/2 y) x) 1)) 1) (+.f64 (*.f64 (-.f64 1/2 y) x) 2)) (log.f64 2))
(log1p.f64 (exp.f64 x))
(fma.f64 (neg.f64 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))
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Calls

3 calls:

15.0ms
y
14.0ms
x
9.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Results
ErrorSegmentsBranch
0.5b1x
0.5b1y
0.5b1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 322 to 216 computations (32.9% saved)

regimes54.0ms (0.5%)

Counts
28 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(-.f64 (*.f64 1/2 x) (*.f64 x y))
(/.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 (*.f64 y y) -1/4) (/.f64 1 (/.f64 (-.f64 -1/2 y) x)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 (/.f64 1 x) (+.f64 y 1/2)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 (/.f64 y x) (/.f64 1/2 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 (*.f64 x 1/2) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))) (log.f64 2))
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
(-.f64 (+.f64 (*.f64 1/2 x) 2) (+.f64 1 (-.f64 1 (log.f64 2))))
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 x) 2) (*.f64 1/2 x)) (+.f64 (*.f64 1/2 x) 2)) (log.f64 2))
(+.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/2 x) 2) (*.f64 1/2 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 2))) (log.f64 2))
(+.f64 (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) (+.f64 (*.f64 (-.f64 1/2 y) x) 1)) 1) (+.f64 (*.f64 (-.f64 1/2 y) x) 2)) (log.f64 2))
(log1p.f64 (exp.f64 x))
(fma.f64 (neg.f64 y) x (log.f64 2))
Outputs
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
Calls

2 calls:

25.0ms
x
14.0ms
y
Results
ErrorSegmentsBranch
0.5b2x
7.0b1y
Compiler

Compiled 288 to 198 computations (31.3% saved)

bsearch41.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
41.0ms
-5.094226029988212e+23
-4.470665195943519e+20
Results
19.0ms79×body256valid
16.0ms34×body1024valid
4.0ms15×body512valid
0.0msbody256infinite
Compiler

Compiled 160 to 124 computations (22.5% saved)

regimes44.0ms (0.4%)

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

27.0ms
x
13.0ms
y
Results
ErrorSegmentsBranch
0.8b2x
7.0b1y
Compiler

Compiled 159 to 97 computations (39% saved)

bsearch57.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
57.0ms
-1.3678053261117466e+30
-8.525449419969617e+28
Results
42.0ms34×body1024valid
8.0ms61×body256valid
4.0ms17×body512valid
1.0msbody256infinite
Compiler

Compiled 128 to 96 computations (25% saved)

regimes114.0ms (1%)

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

61.0ms
y
49.0ms
x
Results
ErrorSegmentsBranch
9.0b4x
21.0b5y
Compiler

Compiled 153 to 94 computations (38.6% saved)

bsearch67.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
24.0ms
-7.97292697090398e-41
-1.9842909900477956e-43
22.0ms
-3.058324643018484e-23
-4.961399512002147e-29
20.0ms
-12.325111800359785
-1.2440497572745198e-7
Results
61.0ms416×body256valid
Compiler

Compiled 432 to 350 computations (19% saved)

regimes93.0ms (0.8%)

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

46.0ms
y
44.0ms
x
Results
ErrorSegmentsBranch
9.2b4x
21.1b5y
Compiler

Compiled 141 to 84 computations (40.4% saved)

bsearch71.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
-7.97292697090398e-41
-1.9842909900477956e-43
28.0ms
-3.058324643018484e-23
-4.961399512002147e-29
20.0ms
-12.325111800359785
-1.2440497572745198e-7
Results
66.0ms416×body256valid
Compiler

Compiled 328 to 272 computations (17.1% saved)

regimes30.0ms (0.3%)

Accuracy

Total -27.6b remaining (-77.2%)

Threshold costs -27.6b (-77.2%)

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

18.0ms
x
8.0ms
y
Results
ErrorSegmentsBranch
35.7b1x
35.7b1y
Compiler

Compiled 139 to 82 computations (41% saved)

simplify11.0ms (0.1%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
049272
175266
293266
3104258
4108258
5110258
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -450000000000000000000) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -85999999999999995095415783424) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -5312662293228351/73786976294838206464) (*.f64 x (neg.f64 y)) (if (<=.f64 x -8014330305721943/696898287454081973172991196020261297061888) (+.f64 (*.f64 1/2 x) (log.f64 2)) (if (<=.f64 x -5002065445386261/98079714615416886934934209737619787751599303819750539264) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 1/2 x) (log.f64 2)))))
(if (<=.f64 x -1498797955988901/1152921504606846976) (*.f64 x (neg.f64 y)) (if (<=.f64 x -8920298079412249/178405961588244985132285746181186892047843328) (log.f64 2) (if (<=.f64 x -3874148727308967/49039857307708443467467104868809893875799651909875269632) (*.f64 x (neg.f64 y)) (log.f64 2))))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
Outputs
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))
(if (<=.f64 x -450000000000000000000) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -450000000000000000000) (*.f64 (neg.f64 y) x) (+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -450000000000000000000) (*.f64 y (neg.f64 x)) (+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -85999999999999995095415783424) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -85999999999999995095415783424) (*.f64 (neg.f64 y) x) (-.f64 (log.f64 2) (*.f64 y x)))
(if (<=.f64 x -85999999999999995095415783424) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 y x)))
(if (<=.f64 x -5312662293228351/73786976294838206464) (*.f64 x (neg.f64 y)) (if (<=.f64 x -8014330305721943/696898287454081973172991196020261297061888) (+.f64 (*.f64 1/2 x) (log.f64 2)) (if (<=.f64 x -5002065445386261/98079714615416886934934209737619787751599303819750539264) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 1/2 x) (log.f64 2)))))
(if (<=.f64 x -5312662293228351/73786976294838206464) (*.f64 (neg.f64 y) x) (if (or (<=.f64 x -8014330305721943/696898287454081973172991196020261297061888) (not (<=.f64 x -5002065445386261/98079714615416886934934209737619787751599303819750539264))) (+.f64 (log.f64 2) (*.f64 x 1/2)) (*.f64 (neg.f64 y) x)))
(if (or (<=.f64 x -5312662293228351/73786976294838206464) (not (or (<=.f64 x -8014330305721943/696898287454081973172991196020261297061888) (not (<=.f64 x -5002065445386261/98079714615416886934934209737619787751599303819750539264))))) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(if (or (<=.f64 x -5312662293228351/73786976294838206464) (and (not (<=.f64 x -8014330305721943/696898287454081973172991196020261297061888)) (<=.f64 x -5002065445386261/98079714615416886934934209737619787751599303819750539264))) (*.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(if (<=.f64 x -1498797955988901/1152921504606846976) (*.f64 x (neg.f64 y)) (if (<=.f64 x -8920298079412249/178405961588244985132285746181186892047843328) (log.f64 2) (if (<=.f64 x -3874148727308967/49039857307708443467467104868809893875799651909875269632) (*.f64 x (neg.f64 y)) (log.f64 2))))
(if (<=.f64 x -1498797955988901/1152921504606846976) (*.f64 (neg.f64 y) x) (if (<=.f64 x -8920298079412249/178405961588244985132285746181186892047843328) (log.f64 2) (if (<=.f64 x -3874148727308967/49039857307708443467467104868809893875799651909875269632) (*.f64 (neg.f64 y) x) (log.f64 2))))
(if (or (<=.f64 x -1498797955988901/1152921504606846976) (not (or (<=.f64 x -8920298079412249/178405961588244985132285746181186892047843328) (not (<=.f64 x -3874148727308967/49039857307708443467467104868809893875799651909875269632))))) (*.f64 y (neg.f64 x)) (log.f64 2))
(if (or (<=.f64 x -1498797955988901/1152921504606846976) (and (not (<=.f64 x -8920298079412249/178405961588244985132285746181186892047843328)) (<=.f64 x -3874148727308967/49039857307708443467467104868809893875799651909875269632))) (*.f64 y (neg.f64 x)) (log.f64 2))
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(*.f64 1/2 x)
(*.f64 x 1/2)
Compiler

Compiled 109 to 79 computations (27.5% saved)

soundness290.0ms (2.5%)

Algorithm
egg-herbie
Rules
1074×+-commutative
1042×associate-*l*
912×associate-/r*
850×associate-*r*
776×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121
12121
23221
35121
46921
511321
618821
723821
832921
949021
1054421
1157121
1265021
1393121
14181521
15516721
16611021
040812536
1125311476
2747810944
Stop Event
node limit
node limit
Compiler

Compiled 81 to 47 computations (42% saved)

end66.0ms (0.6%)

Compiler

Compiled 95 to 54 computations (43.2% saved)

Profiling

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