Details

Time bar (total: 9.6s)

analyze133.0ms (1.4%)

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)

sample3.2s (33.6%)

Results
2.0s2488×body8192exit
988.0ms7793×body256valid
100.0ms206×body1024valid
72.0ms255×body512valid
21.0ms154×body256infinite
2.0msbody2048valid
Bogosity

preprocess79.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 13 to 10 computations (23.1% saved)

simplify73.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 18 to 10 computations (44.4% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.8b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.8b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
1.0b
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 20 to 14 computations (30% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.0b
(+.f64 1 (exp.f64 x))
1.2b
(log.f64 (+.f64 1 (exp.f64 x)))
Compiler

Compiled 28 to 14 computations (50% saved)

series45.0ms (0.5%)

Counts
3 → 32
Calls

12 calls:

TimeVariablePointExpression
24.0ms
x
@inf
(log.f64 (+.f64 1 (exp.f64 x)))
17.0ms
x
@-inf
(log.f64 (+.f64 1 (exp.f64 x)))
3.0ms
y
@0
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.0ms
x
@0
(log.f64 (+.f64 1 (exp.f64 x)))
0.0ms
x
@inf
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

rewrite96.0ms (1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01141
122641
2291441
Stop Event
node limit
Counts
3 → 242
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (-.f64 1 (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))) (+.f64 1 (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (pow.f64 (exp.f64 x) 2))) (+.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (-.f64 1 (*.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) (*.f64 (exp.f64 x) (expm1.f64 x))))) (-.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (cbrt.f64 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (cbrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) 1) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) 1) (neg.f64 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) 1) (+.f64 -1 (neg.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x 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x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))))))

simplify147.0ms (1.5%)

Algorithm
egg-herbie
Rules
1164×fma-def
618×associate-+l+
616×associate-*r*
562×associate-*l*
554×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061013194
1166812062
Stop Event
node limit
Counts
274 → 358
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))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) 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 (log1p.f64 (exp.f64 x)) 0)
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 1 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1) (*.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 1))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (log.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(-.f64 (+.f64 0 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (log.f64 (-.f64 1 (exp.f64 x))))
(-.f64 (+.f64 0 (log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (log.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))) 1)
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(-.f64 (+.f64 1 (exp.f64 x)) 0)
(-.f64 (exp.f64 (log.f64 (+.f64 2 (exp.f64 x)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(-.f64 (+.f64 2 (exp.f64 x)) 1)
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (-.f64 1 (pow.f64 (exp.f64 x) 2)))
(*.f64 (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))) (+.f64 1 (pow.f64 (exp.f64 x) 3)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (pow.f64 (exp.f64 x) 2))) (+.f64 1 (exp.f64 x)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (pow.f64 (exp.f64 x) 3))) (+.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (exp.f64 x)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (-.f64 1 (*.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) (*.f64 (exp.f64 x) (expm1.f64 x))))) (-.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (pow.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) 3))) (+.f64 1 (*.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) 1))))
(/.f64 1 (/.f64 1 (+.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (/.f64 (-.f64 1 (exp.f64 x)) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (/.f64 (-.f64 1 (exp.f64 x)) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) 3))) (*.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (-.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (expm1.f64 x))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 2))) (*.f64 (-.f64 1 (exp.f64 x)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
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(*.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 (-.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 (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))
(*.f64 (/.f64 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 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (-.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 (-.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 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (log1p.f64 (exp.f64 x))))))
(*.f64 (/.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) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (*.f64 (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (*.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 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 3) (pow.f64 (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3))) (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (*.f64 (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (-.f64 (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))
(/.f64 1 (/.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)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (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 (+.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)) 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 (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 (*.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 (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 (*.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 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))
(/.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 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x (neg.f64 y)) (-.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x))))))
(/.f64 (-.f64 (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 (pow.f64 (*.f64 x y) 2) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 x y) 3) 3)) (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x (neg.f64 y)) (-.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x (neg.f64 y)) (-.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) 1) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) 1) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (*.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 x y) 2))) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 3) (pow.f64 (pow.f64 (*.f64 x y) 2) 3)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (*.f64 (pow.f64 (*.f64 x y) 2) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x y) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 x y) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) 1) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
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(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 x y) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 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 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (+.f64 (*.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (pow.f64 (*.f64 x y) 6)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 x y) 3) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 6) (fma.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x y) 6)))) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) 1) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
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(/.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))))))
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(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))
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(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(fabs.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 19 to 6 computations (68.4% saved)

series4.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite104.0ms (1.1%)

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
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((#(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)))))))

simplify79.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

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

eval177.0ms (1.8%)

Compiler

Compiled 9663 to 3778 computations (60.9% saved)

prune68.0ms (0.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New4317438
Fresh000
Picked101
Done101
Total4337440
Error
0.6b
Counts
440 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
11.3b
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
1.5b
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
17.7b
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
7.2b
(-.f64 (log.f64 2) (*.f64 x y))
11.3b
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
35.5b
(*.f64 x (neg.f64 y))
27.9b
(log1p.f64 (exp.f64 x))
Compiler

Compiled 124 to 94 computations (24.2% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.0b
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
0.0b
(+.f64 1 (exp.f64 x))
1.9b
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
Compiler

Compiled 46 to 28 computations (39.1% saved)

series52.0ms (0.5%)

Counts
3 → 32
Calls

12 calls:

TimeVariablePointExpression
27.0ms
x
@-inf
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
13.0ms
x
@inf
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
4.0ms
y
@-inf
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
3.0ms
x
@0
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
3.0ms
y
@0
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))

rewrite107.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1072×distribute-lft-in
926×associate-*r/
802×associate-*l/
404×associate-+l+
298×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01471
129151
2372151
Stop Event
node limit
Counts
3 → 276
Calls
Call 1
Inputs
(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
Outputs
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simplify216.0ms (2.2%)

Algorithm
egg-herbie
Rules
1376×fma-def
752×associate-+r+
748×associate-+l+
708×associate-*r*
674×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069318254
1187914534
Stop Event
node limit
Counts
308 → 394
Calls
Call 1
Inputs
(log.f64 (sqrt.f64 2))
(+.f64 (log.f64 (sqrt.f64 2)) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))) (pow.f64 x 2)))))
(+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 6))) (+.f64 (*.f64 3 (/.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2))) (*.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))))) (pow.f64 x 3))) (+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))) (pow.f64 x 2))))))
(*.f64 2 (log.f64 (sqrt.f64 2)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y) x))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))) (pow.f64 x 2)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y) x)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (sqrt.f64 2) 2)) y) x) (*.f64 1/3 (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 2) 6))) (+.f64 (*.f64 3 (/.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 (sqrt.f64 2) 2))) (*.f64 -3/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 4))))) (pow.f64 x 3))))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 -1 (*.f64 y x)))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
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(/.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 (-.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 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 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))) (-.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (fma.f64 (neg.f64 y) x (*.f64 x y)))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3))) (-.f64 (+.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 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) (pow.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 3))) (-.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))) (*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))))
(/.f64 (*.f64 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 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))) 1) (-.f64 (log1p.f64 (exp.f64 x)) (+.f64 (*.f64 x y) (fma.f64 (neg.f64 y) x (*.f64 x y)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) 1) (-.f64 (+.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 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) (pow.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 3)) 1) (-.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))) (*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) 1) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) 1) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 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 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 3) (pow.f64 (pow.f64 (*.f64 x y) 2) 3)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 x y) 2)) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x y) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 x y) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (+.f64 (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x y) 3))) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) 1) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(fma.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 2 (*.f64 x (neg.f64 y)))
(fma.f64 2 (*.f64 1/2 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (cbrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) 1) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) 1) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 2))) (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
Outputs
(log.f64 (sqrt.f64 2))
(+.f64 (log.f64 (sqrt.f64 2)) (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))))
(fma.f64 1/2 (/.f64 x 2) (log.f64 (sqrt.f64 2)))
(+.f64 (log.f64 (sqrt.f64 2)) (+.f64 (*.f64 1/2 (/.f64 x (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 2) 4)))) (pow.f64 x 2)))))
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(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 1/2 (log1p.f64 (exp.f64 x)) (fma.f64 1/2 (log1p.f64 (exp.f64 x)) (fma.f64 x (neg.f64 y) (fma.f64 (neg.f64 y) x (*.f64 x y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (*.f64 0 (*.f64 x y))))
(fma.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 2 (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
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(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 1/2 (log1p.f64 (exp.f64 x)) (fma.f64 1/2 (log1p.f64 (exp.f64 x)) (fma.f64 x (neg.f64 y) (fma.f64 (neg.f64 y) x (*.f64 x y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (*.f64 0 (*.f64 x y))))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 1/2 (log1p.f64 (exp.f64 x)) (fma.f64 1/2 (log1p.f64 (exp.f64 x)) (fma.f64 x (neg.f64 y) (fma.f64 (neg.f64 y) x (*.f64 x y)))))
(-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y (*.f64 0 (*.f64 x y))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (cbrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (/.f64 (cbrt.f64 (-.f64 1 (exp.f64 x))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (-.f64 1 (exp.f64 x)))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) 1) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) 1) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (/.f64 (cbrt.f64 (-.f64 1 (exp.f64 x))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (-.f64 1 (exp.f64 x)))) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 2))) (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))

localize4.0ms (0%)

Compiler

Compiled 10 to 4 computations (60% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 16 to 9 computations (43.8% saved)

series5.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@0
(-.f64 (log.f64 2) (*.f64 x y))
1.0ms
y
@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))

rewrite80.0ms (0.8%)

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 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x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log.f64 2) (*.f64 x y)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y)))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log.f64 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log.f64 2) (*.f64 x (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 2 (pow.f64 (exp.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (log.f64 2) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y)))))))

simplify66.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 24 to 17 computations (29.2% saved)

series2.0ms (0%)

Counts
2 → 27
Calls

12 calls:

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

rewrite79.0ms (0.8%)

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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simplify120.0ms (1.2%)

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))))
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(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(+.f64 (*.f64 1/2 x) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 1/2 x))
(+.f64 (*.f64 1 (*.f64 1/2 x)) (*.f64 1 (*.f64 x (neg.f64 y))))
(+.f64 (*.f64 (*.f64 1/2 x) 1) (*.f64 (*.f64 x (neg.f64 y)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(/.f64 (-.f64 1/8 (pow.f64 y 3)) (/.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y))) x))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(/.f64 (*.f64 x (+.f64 1/8 (pow.f64 (neg.f64 y) 3))) (+.f64 1/4 (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) 1/2))))
(/.f64 (*.f64 x (+.f64 -1/4 (*.f64 y y))) (neg.f64 (+.f64 1/2 y)))
(/.f64 (*.f64 x (neg.f64 (-.f64 1/8 (pow.f64 y 3)))) (+.f64 -1/4 (neg.f64 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (*.f64 1 (*.f64 x (-.f64 1/4 (*.f64 y y)))) (+.f64 1/2 y))
(/.f64 (*.f64 1 (*.f64 x (-.f64 1/8 (pow.f64 y 3)))) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/8 (pow.f64 y 3)))) (sqrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/4 (*.f64 y y)))) (sqrt.f64 (+.f64 1/2 y)))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/8 (pow.f64 y 3)))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))) (cbrt.f64 (+.f64 1/2 y)))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 (neg.f64 y) 3)) x) (+.f64 1/4 (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) 1/2))))
(/.f64 (*.f64 (+.f64 -1/4 (*.f64 y y)) x) (neg.f64 (+.f64 1/2 y)))
(/.f64 (*.f64 (neg.f64 (-.f64 1/8 (pow.f64 y 3))) x) (+.f64 -1/4 (neg.f64 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (*.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 1) (+.f64 1/2 y))
(/.f64 (*.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) 1) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/8 (pow.f64 y 3))) (*.f64 x (sqrt.f64 (-.f64 1/2 y)))) (sqrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/4 (*.f64 y y))) (*.f64 x (sqrt.f64 (-.f64 1/2 y)))) (sqrt.f64 (+.f64 1/2 y)))
(/.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 1) (+.f64 1/2 y))
(/.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (sqrt.f64 (+.f64 1/2 y))) (sqrt.f64 (+.f64 1/2 y)))
(/.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (*.f64 (cbrt.f64 (+.f64 1/2 y)) (cbrt.f64 (+.f64 1/2 y)))) (cbrt.f64 (+.f64 1/2 y)))
(/.f64 (/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) 1) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(/.f64 (/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (sqrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))) (sqrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(/.f64 (/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))
(pow.f64 (*.f64 (-.f64 1/2 y) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
(exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))
Outputs
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 2)
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(-.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (*.f64 (-.f64 1/2 y) x)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 2))) 1) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (expm1.f64 (log1p.f64 (log.f64 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (-.f64 1 (log.f64 2)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (exp.f64 (log1p.f64 (log.f64 2)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 2))) 1) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (expm1.f64 (log1p.f64 (log.f64 2))))
(-.f64 (+.f64 (log.f64 2) (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))) 1)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(*.f64 (/.f64 1 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)))
(*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (log.f64 2)) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (-.f64 (*.f64 (*.f64 (-.f64 1/2 y) x) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (*.f64 (pow.f64 (log.f64 2) 2) (*.f64 (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (-.f64 (*.f64 (-.f64 1/2 y) (*.f64 x (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))) (*.f64 (pow.f64 (log.f64 2) 2) (*.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 4) (*.f64 (pow.f64 (log.f64 2) 2) (*.f64 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))) (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
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(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))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 23 to 13 computations (43.5% saved)

series4.0ms (0%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
y
@0
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
0.0ms
x
@0
(log.f64 (+.f64 2 x))
0.0ms
x
@inf
(log.f64 (+.f64 2 x))
0.0ms
x
@-inf
(log.f64 (+.f64 2 x))
0.0ms
x
@-inf
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))

rewrite90.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1018×*-commutative
714×associate-*r/
604×swap-sqr
602×distribute-lft-in
590×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01034
121834
2290234
Stop Event
node limit
Counts
2 → 167
Calls
Call 1
Inputs
(log.f64 (+.f64 2 x))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (sqrt.f64 (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (*.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (cbrt.f64 (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (neg.f64 (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 2 x) (pow.f64 (exp.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (+.f64 2 x)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 x))) (*.f64 x (neg.f64 y)))))))

simplify143.0ms (1.5%)

Algorithm
egg-herbie
Rules
1270×associate-+l-
1196×fma-def
906×associate-+r-
766×associate--r+
688×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046111509
1126810423
2641810423
Stop Event
node limit
Counts
203 → 296
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 (log.f64 2) (*.f64 1/24 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (*.f64 1/24 (pow.f64 x 3)))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x))))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(log.f64 (+.f64 2 x))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 2 x)) 0)
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) (log.f64 (sqrt.f64 (+.f64 2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (log.f64 (cbrt.f64 (+.f64 2 x))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 2 x))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)))
(+.f64 0 (log.f64 (+.f64 2 x)))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 2 x)))) (log.f64 (sqrt.f64 (+.f64 2 x))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2))) (log.f64 (cbrt.f64 (+.f64 2 x))))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (+.f64 2 x)))) (*.f64 1 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 2 x)))))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1) (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (+.f64 2 x))) 1))
(-.f64 (log.f64 (+.f64 8 (pow.f64 x 3))) (log.f64 (+.f64 4 (*.f64 x (+.f64 x -2)))))
(-.f64 (log.f64 (-.f64 4 (*.f64 x x))) (log.f64 (-.f64 2 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 2 x)))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 8 (pow.f64 x 3)))) (log.f64 (+.f64 4 (*.f64 x (+.f64 x -2)))))
(-.f64 (+.f64 0 (log.f64 (-.f64 4 (*.f64 x x)))) (log.f64 (-.f64 2 x)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 2 x))))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 (log.f64 (+.f64 2 x)) 1)
(*.f64 1 (log.f64 (+.f64 2 x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 x))))
(pow.f64 (log.f64 (+.f64 2 x)) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2 x))))
(exp.f64 (log.f64 (log.f64 (+.f64 2 x))))
(log1p.f64 (+.f64 x 1))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 (+.f64 2 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (log.f64 (+.f64 2 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (log.f64 (+.f64 2 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (log.f64 (+.f64 2 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))))
(+.f64 (log.f64 (+.f64 2 x)) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y))))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (-.f64 (log.f64 (+.f64 2 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 (log.f64 (+.f64 2 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (+.f64 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (+.f64 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (+.f64 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (+.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))))
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(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (log.f64 (+.f64 2 x)) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x y) 3))) (/.f64 1 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))))) (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 x y) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))))) (+.f64 (*.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (log.f64 (+.f64 2 x)) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) 1) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (sqrt.f64 (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (*.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (cbrt.f64 (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))))
(pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (neg.f64 (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))))))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 2))
(log.f64 (/.f64 (+.f64 2 x) (pow.f64 (exp.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(fma.f64 1 (log.f64 (+.f64 2 x)) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 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 (log.f64 2) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/24 (pow.f64 x 3) (log.f64 2))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x))
(+.f64 (log.f64 x) (/.f64 2 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (/.f64 2 (*.f64 x x)))
(+.f64 (log.f64 x) (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 8/3 (pow.f64 x 3)) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 x) (/.f64 2 x)) (-.f64 (/.f64 8/3 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 2 x) (log.f64 -1)))
(+.f64 (/.f64 2 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 2 x) (log.f64 -1))) (/.f64 2 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(-.f64 (log.f64 -1) (-.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))))
(-.f64 (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 8/3 (pow.f64 x 3)) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 2 x) (log.f64 -1))) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 8/3 (pow.f64 x 3)) (+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))))
(+.f64 (/.f64 8/3 (pow.f64 x 3)) (-.f64 (log.f64 -1) (-.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x 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 (log.f64 2) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 (-.f64 1/2 y) x (+.f64 (fma.f64 -1/8 (*.f64 x x) (log.f64 2)) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 x (-.f64 1/2 y) (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) (log.f64 2))))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (+.f64 (neg.f64 (log.f64 x)) (*.f64 x y)))
(-.f64 (log.f64 x) (*.f64 x y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 x) (-.f64 (/.f64 2 x) (*.f64 x y)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (*.f64 x (neg.f64 y))) (/.f64 2 (*.f64 x x)))
(+.f64 (-.f64 (/.f64 2 x) (*.f64 x y)) (+.f64 (log.f64 x) (/.f64 -2 (*.f64 x x))))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 -1 (*.f64 y x))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (*.f64 x (neg.f64 y))))
(-.f64 (-.f64 (log.f64 -1) (*.f64 x y)) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x)))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (*.f64 x (neg.f64 y)))))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 2 x) (*.f64 x y)))
(+.f64 (log.f64 -1) (-.f64 (-.f64 (/.f64 2 x) (*.f64 x y)) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x))))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (*.f64 x (neg.f64 y))))) (/.f64 2 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (-.f64 (/.f64 2 x) (*.f64 x y)) (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 2 x) (-.f64 (log.f64 -1) (*.f64 x y))) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 -2 (*.f64 x x))))
(log.f64 (+.f64 2 x))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 2 x)) 0)
(log.f64 (+.f64 2 x))
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) (log.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (log.f64 (cbrt.f64 (+.f64 2 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 x)))) (log.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 x))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 2 x))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 x)))) (log.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 x))))
(+.f64 0 (log.f64 (+.f64 2 x)))
(log.f64 (+.f64 2 x))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 2 x)))) (log.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2))) (log.f64 (cbrt.f64 (+.f64 2 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 x)))) (log.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 x))))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (+.f64 2 x)))) (*.f64 1 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 2 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 x)))) (log.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 x))))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1) (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x))))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (+.f64 2 x))) 1))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 x)))) (log.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 x))))
(-.f64 (log.f64 (+.f64 8 (pow.f64 x 3))) (log.f64 (+.f64 4 (*.f64 x (+.f64 x -2)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) 8)) (log.f64 (+.f64 4 (*.f64 x (+.f64 x -2)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) 8)) (log.f64 (fma.f64 x (+.f64 x -2) 4)))
(-.f64 (log.f64 (-.f64 4 (*.f64 x x))) (log.f64 (-.f64 2 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 2 x)))) 1)
(log.f64 (+.f64 2 x))
(-.f64 (+.f64 0 (log.f64 (+.f64 8 (pow.f64 x 3)))) (log.f64 (+.f64 4 (*.f64 x (+.f64 x -2)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) 8)) (log.f64 (+.f64 4 (*.f64 x (+.f64 x -2)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) 8)) (log.f64 (fma.f64 x (+.f64 x -2) 4)))
(-.f64 (+.f64 0 (log.f64 (-.f64 4 (*.f64 x x)))) (log.f64 (-.f64 2 x)))
(-.f64 (log.f64 (-.f64 4 (*.f64 x x))) (log.f64 (-.f64 2 x)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 2 x))))) 1)
(log.f64 (+.f64 2 x))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 (log.f64 (+.f64 2 x)) 1)
(log.f64 (+.f64 2 x))
(*.f64 1 (log.f64 (+.f64 2 x)))
(log.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))))
(log.f64 (+.f64 2 x))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2))
(log.f64 (+.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 x))))
(log.f64 (+.f64 2 x))
(pow.f64 (log.f64 (+.f64 2 x)) 1)
(log.f64 (+.f64 2 x))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) 2)
(log.f64 (+.f64 2 x))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 3)
(log.f64 (+.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) 1/3)
(log.f64 (+.f64 2 x))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2))
(fabs.f64 (log.f64 (+.f64 2 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3))
(log.f64 (+.f64 2 x))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2 x))))
(log.f64 (+.f64 2 x))
(exp.f64 (log.f64 (log.f64 (+.f64 2 x))))
(log.f64 (+.f64 2 x))
(log1p.f64 (+.f64 x 1))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
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(/.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (/.f64 (sqrt.f64 (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (sqrt.f64 (fma.f64 x y (log.f64 (+.f64 2 x))))) (sqrt.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))) (cbrt.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3))) (cbrt.f64 (fma.f64 x (*.f64 y (fma.f64 x y (log.f64 (+.f64 2 x)))) (pow.f64 (log.f64 (+.f64 2 x)) 2)))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2)) (cbrt.f64 (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (/.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (cbrt.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (cbrt.f64 (fma.f64 x y (log.f64 (+.f64 2 x))))) (cbrt.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 (log.f64 (+.f64 2 x)) (pow.f64 (log.f64 (+.f64 2 x)) 3)) (*.f64 (*.f64 x y) (pow.f64 (*.f64 x y) 3))) (/.f64 1 (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log.f64 (+.f64 2 x)) 2)))
(/.f64 (fma.f64 (log.f64 (+.f64 2 x)) (pow.f64 (log.f64 (+.f64 2 x)) 3) (neg.f64 (*.f64 x (*.f64 y (pow.f64 (*.f64 x y) 3))))) (*.f64 (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 4) (pow.f64 (*.f64 x y) 4)) (fma.f64 x y (log.f64 (+.f64 2 x)))) (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) 3) (pow.f64 (pow.f64 (*.f64 x y) 2) 3)) (/.f64 1 (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))) (+.f64 (*.f64 (log.f64 (+.f64 2 x)) (pow.f64 (log.f64 (+.f64 2 x)) 3)) (*.f64 (pow.f64 (*.f64 x y) 2) (+.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log.f64 (+.f64 2 x)) 2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) 3) (pow.f64 (pow.f64 (*.f64 x y) 2) 3)) (*.f64 (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (log.f64 (+.f64 2 x)) (pow.f64 (log.f64 (+.f64 2 x)) 3) (*.f64 (pow.f64 (*.f64 x y) 2) (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 6) (pow.f64 (*.f64 x y) 6)) (*.f64 (fma.f64 x y (log.f64 (+.f64 2 x))) (fma.f64 (pow.f64 (*.f64 x y) 2) (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (pow.f64 (log.f64 (+.f64 2 x)) 4))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (log.f64 (+.f64 2 x)) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x y) 3))) (/.f64 1 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))))) (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 6) (pow.f64 (*.f64 x y) 6)) (*.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))) (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 6) (pow.f64 (*.f64 x y) 6)) (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3))) (fma.f64 x (*.f64 y (fma.f64 x y (log.f64 (+.f64 2 x)))) (pow.f64 (log.f64 (+.f64 2 x)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 x y) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))))) (+.f64 (*.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (log.f64 (+.f64 2 x)) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 x y) 3) 3)) (*.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))) (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 6) (+.f64 (*.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (log.f64 (+.f64 2 x)) 3)) (pow.f64 (*.f64 x y) 6)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 x y) 3) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log.f64 (+.f64 2 x)))) (pow.f64 (log.f64 (+.f64 2 x)) 2))) (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 6) (fma.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x y) 6))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) 1) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (sqrt.f64 (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))) (sqrt.f64 (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (*.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (cbrt.f64 (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log.f64 (+.f64 2 x)))) (pow.f64 (log.f64 (+.f64 2 x)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log.f64 (+.f64 2 x)))) (pow.f64 (log.f64 (+.f64 2 x)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log.f64 (+.f64 2 x)))) (pow.f64 (log.f64 (+.f64 2 x)) 2)))
(pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 1)
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(pow.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2)
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 3)
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(pow.f64 (pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 3) 1/3)
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (neg.f64 (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (neg.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2))) (neg.f64 (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log.f64 (+.f64 2 x)) 2)) (neg.f64 (fma.f64 x y (log.f64 (+.f64 2 x)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log.f64 (+.f64 2 x)))) (pow.f64 (log.f64 (+.f64 2 x)) 2))))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 2))
(fabs.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))
(log.f64 (/.f64 (+.f64 2 x) (pow.f64 (exp.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 3))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(exp.f64 (log.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 1 (log.f64 (+.f64 2 x)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))

eval676.0ms (7%)

Compiler

Compiled 26739 to 14764 computations (44.8% saved)

prune364.0ms (3.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New105091059
Fresh112
Picked101
Done224
Total1054121066
Error
0.6b
Counts
1066 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
21.1b
(-.f64 (+.f64 (log.f64 2) (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))) 1)
7.7b
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
7.2b
(-.f64 (log.f64 2) (*.f64 x y))
23.1b
(+.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) (log.f64 2))
11.3b
(+.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))) (log.f64 2))
28.6b
(+.f64 (*.f64 1/2 x) (log.f64 2))
20.6b
(+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
45.1b
(*.f64 (-.f64 1/2 y) x)
35.5b
(*.f64 x (neg.f64 y))
27.9b
(log1p.f64 (exp.f64 x))
29.1b
(log.f64 (+.f64 2 x))
28.7b
(log.f64 2)
Compiler

Compiled 204 to 166 computations (18.6% saved)

localize40.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiled 27 to 20 computations (25.9% saved)

series5.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@0
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
1.0ms
y
@0
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
0.0ms
x
@inf
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
0.0ms
x
@-inf
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
0.0ms
y
@inf
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))

rewrite101.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1034×*-commutative
822×unswap-sqr
638×swap-sqr
588×distribute-lft-in
578×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01136
123226
2296826
Stop Event
node limit
Counts
2 → 201
Calls
Call 1
Inputs
(log.f64 (sqrt.f64 2))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
Outputs
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simplify177.0ms (1.8%)

Algorithm
egg-herbie
Rules
1496×associate-*r/
900×+-commutative
788×fma-def
666×associate-+l-
518×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04779815
113638363
255188279
Stop Event
node limit
Counts
225 → 274
Calls
Call 1
Inputs
(*.f64 2 (log.f64 (sqrt.f64 2)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(*.f64 2 (log.f64 (sqrt.f64 2)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (sqrt.f64 2)) 0)
(+.f64 (log.f64 (cbrt.f64 (sqrt.f64 2))) (log.f64 (cbrt.f64 2)))
(+.f64 0 (log.f64 (sqrt.f64 2)))
(+.f64 (log.f64 (pow.f64 2 1/4)) (log.f64 (pow.f64 2 1/4)))
(+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 (sqrt.f64 2))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 2 1/4))) (log.f64 (pow.f64 2 1/4)))
(+.f64 (+.f64 0 (log.f64 (cbrt.f64 2))) (log.f64 (cbrt.f64 (sqrt.f64 2))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 2 1/4))) (*.f64 1 (log.f64 (pow.f64 2 1/4))))
(+.f64 (*.f64 1 (log.f64 (cbrt.f64 2))) (*.f64 1 (log.f64 (cbrt.f64 (sqrt.f64 2)))))
(+.f64 (*.f64 (log.f64 (pow.f64 2 1/4)) 1) (*.f64 (log.f64 (pow.f64 2 1/4)) 1))
(+.f64 (*.f64 (log.f64 (cbrt.f64 2)) 1) (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 2)))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 2))))) 1)
(*.f64 2 (log.f64 (pow.f64 2 1/4)))
(*.f64 (log.f64 (sqrt.f64 2)) 1)
(*.f64 (log.f64 2) 1/2)
(*.f64 1 (log.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 2))) (sqrt.f64 (log.f64 (sqrt.f64 2))))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2) (cbrt.f64 (log.f64 (sqrt.f64 2))))
(*.f64 1/2 (log.f64 2))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (sqrt.f64 2)))) (cbrt.f64 (log.f64 (sqrt.f64 2)))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (sqrt.f64 2)))) (cbrt.f64 (log.f64 (sqrt.f64 2)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (sqrt.f64 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (sqrt.f64 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) (sqrt.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))))) (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) (sqrt.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (sqrt.f64 2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (sqrt.f64 2))))))
(pow.f64 (log.f64 (sqrt.f64 2)) 1)
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 2))) 2)
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 2)) 2))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 2))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 2))))
(log1p.f64 (-.f64 (sqrt.f64 2) 1))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 2) (+.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 x y) 0)))
(+.f64 (log.f64 2) (+.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 x y) 0)) (*.f64 (*.f64 x y) 0)))
(+.f64 (log.f64 2) (+.f64 (*.f64 x (neg.f64 y)) (*.f64 2 (*.f64 (*.f64 x y) 0))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 x y) 0)) (*.f64 2 (*.f64 (*.f64 x y) 0))))
(+.f64 (log.f64 2) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 x y) 0)) (fma.f64 (neg.f64 x) y (*.f64 x y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 x y) 0)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 x y) 0)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 x y) 0)) (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 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 x y) 0)) 1))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (*.f64 (*.f64 x y) 0))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (*.f64 2 (*.f64 (*.f64 x y) 0)))
(+.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)))
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(/.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 2) 3) 3) (pow.f64 (pow.f64 (*.f64 x y) 3) 3)) (*.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 (log.f64 2) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 3) (pow.f64 (pow.f64 (*.f64 x y) 2) 3)) (*.f64 (+.f64 (log.f64 2) (*.f64 x y)) (+.f64 (*.f64 (log.f64 2) (pow.f64 (log.f64 2) 3)) (*.f64 (pow.f64 (*.f64 x y) 2) (+.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log.f64 2) 2))))))
(/.f64 (+.f64 (neg.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))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2) (*.f64 (*.f64 (*.f64 x y) 0) (*.f64 (*.f64 x y) 0)))) (-.f64 (log.f64 2) (+.f64 (*.f64 x y) (*.f64 (*.f64 x y) 0))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3))) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (neg.f64 y)) (-.f64 (*.f64 x (neg.f64 y)) (log.f64 2)))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3) (pow.f64 (*.f64 (*.f64 x y) 0) 3))) (+.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2) (*.f64 (*.f64 (*.f64 x y) 0) (-.f64 (*.f64 (*.f64 x y) 0) (-.f64 (log.f64 2) (*.f64 x y))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (sqrt.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (sqrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)))) (sqrt.f64 (+.f64 (log.f64 2) (*.f64 x y))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)))) (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x y))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2) (*.f64 (*.f64 (*.f64 x y) 0) (*.f64 (*.f64 x y) 0))) 1) (-.f64 (log.f64 2) (+.f64 (*.f64 x y) (*.f64 (*.f64 x y) 0))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) 1) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (neg.f64 y)) (-.f64 (*.f64 x (neg.f64 y)) (log.f64 2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3) (pow.f64 (*.f64 (*.f64 x y) 0) 3)) 1) (+.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2) (*.f64 (*.f64 (*.f64 x y) 0) (-.f64 (*.f64 (*.f64 x y) 0) (-.f64 (log.f64 2) (*.f64 x y))))))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (log.f64 2) 2)) (pow.f64 (*.f64 x y) 2)) 1) (neg.f64 (+.f64 (log.f64 2) (*.f64 x y))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))) 1) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))) (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))) (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y)))) (sqrt.f64 (+.f64 (log.f64 2) (*.f64 x y))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2)) (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x y))))
(/.f64 (*.f64 (-.f64 (*.f64 (log.f64 2) (pow.f64 (log.f64 2) 3)) (*.f64 (*.f64 x y) (pow.f64 (*.f64 x y) 3))) (/.f64 1 (+.f64 (log.f64 2) (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log.f64 2) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 3) (pow.f64 (pow.f64 (*.f64 x y) 2) 3)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 x y)))) (+.f64 (*.f64 (log.f64 2) (pow.f64 (log.f64 2) 3)) (*.f64 (pow.f64 (*.f64 x y) 2) (+.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (log.f64 2) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 2) 3)) (*.f64 (pow.f64 (*.f64 x y) 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 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 2) 3) 3) (pow.f64 (pow.f64 (*.f64 x y) 3) 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 (log.f64 2) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) 1) (+.f64 (log.f64 2) (*.f64 x y)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (sqrt.f64 (+.f64 (log.f64 2) (*.f64 x y)))) (sqrt.f64 (+.f64 (log.f64 2) (*.f64 x y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (*.f64 (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x y))) (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x y))))) (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (sqrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y)))))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))))) (cbrt.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)
(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (neg.f64 (+.f64 (log.f64 2) (*.f64 x y)))))
(neg.f64 (/.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)))))))
(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))))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 (log.f64 (sqrt.f64 2)) 2 (*.f64 x (neg.f64 y)))
(fma.f64 1 (log.f64 2) (*.f64 x (neg.f64 y)))
(fma.f64 1 (-.f64 (log.f64 2) (*.f64 x y)) (*.f64 (*.f64 x y) 0))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (*.f64 (*.f64 x y) 0))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (*.f64 (*.f64 x y) 0))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y)))
Outputs
(*.f64 2 (log.f64 (sqrt.f64 2)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(*.f64 2 (log.f64 (sqrt.f64 2)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(+.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 -1 (*.f64 y x)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(+.f64 (log.f64 (sqrt.f64 2)) 0)
(log.f64 (sqrt.f64 2))
(+.f64 (log.f64 (cbrt.f64 (sqrt.f64 2))) (log.f64 (cbrt.f64 2)))
(+.f64 0 (log.f64 (sqrt.f64 2)))
(log.f64 (sqrt.f64 2))
(+.f64 (log.f64 (pow.f64 2 1/4)) (log.f64 (pow.f64 2 1/4)))
(*.f64 2 (*.f64 1/4 (log.f64 2)))
(*.f64 (log.f64 2) 1/2)
(+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 (sqrt.f64 2))))
(+.f64 (log.f64 (cbrt.f64 (sqrt.f64 2))) (log.f64 (cbrt.f64 2)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 2 1/4))) (log.f64 (pow.f64 2 1/4)))
(*.f64 2 (*.f64 1/4 (log.f64 2)))
(*.f64 (log.f64 2) 1/2)
(+.f64 (+.f64 0 (log.f64 (cbrt.f64 2))) (log.f64 (cbrt.f64 (sqrt.f64 2))))
(+.f64 (log.f64 (cbrt.f64 (sqrt.f64 2))) (log.f64 (cbrt.f64 2)))
(+.f64 (*.f64 1 (log.f64 (pow.f64 2 1/4))) (*.f64 1 (log.f64 (pow.f64 2 1/4))))
(*.f64 2 (*.f64 1/4 (log.f64 2)))
(*.f64 (log.f64 2) 1/2)
(+.f64 (*.f64 1 (log.f64 (cbrt.f64 2))) (*.f64 1 (log.f64 (cbrt.f64 (sqrt.f64 2)))))
(+.f64 (log.f64 (cbrt.f64 (sqrt.f64 2))) (log.f64 (cbrt.f64 2)))
(+.f64 (*.f64 (log.f64 (pow.f64 2 1/4)) 1) (*.f64 (log.f64 (pow.f64 2 1/4)) 1))
(*.f64 2 (*.f64 1/4 (log.f64 2)))
(*.f64 (log.f64 2) 1/2)
(+.f64 (*.f64 (log.f64 (cbrt.f64 2)) 1) (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 2))) 1))
(+.f64 (log.f64 (cbrt.f64 (sqrt.f64 2))) (log.f64 (cbrt.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 2)))) 1)
(log.f64 (sqrt.f64 2))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 2))))) 1)
(log.f64 (sqrt.f64 2))
(*.f64 2 (log.f64 (pow.f64 2 1/4)))
(*.f64 2 (*.f64 1/4 (log.f64 2)))
(*.f64 (log.f64 2) 1/2)
(*.f64 (log.f64 (sqrt.f64 2)) 1)
(log.f64 (sqrt.f64 2))
(*.f64 (log.f64 2) 1/2)
(*.f64 2 (*.f64 1/4 (log.f64 2)))
(*.f64 1 (log.f64 (sqrt.f64 2)))
(log.f64 (sqrt.f64 2))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 2))) (sqrt.f64 (log.f64 (sqrt.f64 2))))
(log.f64 (sqrt.f64 2))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2))
(log.f64 (sqrt.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 2))) 2) (cbrt.f64 (log.f64 (sqrt.f64 2))))
(log.f64 (sqrt.f64 2))
(*.f64 1/2 (log.f64 2))
(*.f64 2 (*.f64 1/4 (log.f64 2)))
(*.f64 (log.f64 2) 1/2)
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(sqrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 y x)) 2))
(fabs.f64 (-.f64 (log.f64 2) (*.f64 y x)))
(log.f64 (/.f64 2 (pow.f64 (exp.f64 x) y)))
(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))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(fma.f64 (log.f64 (sqrt.f64 2)) 2 (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 2 (log.f64 (sqrt.f64 2)) (*.f64 y (neg.f64 x)))
(fma.f64 1 (log.f64 2) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 1 (-.f64 (log.f64 2) (*.f64 x y)) (*.f64 (*.f64 x y) 0))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (*.f64 (*.f64 x y) 0))
(-.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 (-.f64 (log.f64 2) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (*.f64 (*.f64 x y) 0))
(-.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))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 8 computations (38.5% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(log.f64 (+.f64 2 x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

localize52.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (-.f64 1/2 y))
0.0b
(+.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))) (log.f64 2))
0.1b
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
Compiler

Compiled 34 to 26 computations (23.5% saved)

series2.0ms (0%)

Counts
3 → 60
Calls

15 calls:

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

rewrite111.0ms (1.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01361
128345
2374445
Stop Event
node limit
Counts
3 → 175
Calls
Call 1
Inputs
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(+.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))) (log.f64 2))
(/.f64 1 (-.f64 1/2 y))
Outputs
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egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 x) 1) (*.f64 (*.f64 (neg.f64 y) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (/.f64 x -1)) (*.f64 (neg.f64 (neg.f64 y)) (/.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (neg.f64 (+.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (-.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 x (sqrt.f64 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (+.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 x (+.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/2 y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))) (*.f64 x (cbrt.f64 (-.f64 1/2 y))))))) (#(struct:change #<rule 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(-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))) 1) (cbrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (-.f64 1/2 y))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2))) (cbrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1/2 y)))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 -1)) (sqrt.f64 (+.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))) -1) (cbrt.f64 (+.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (-.f64 (*.f64 y y) (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (-.f64 1/16 (*.f64 (*.f64 y (+.f64 1/2 y)) (*.f64 y (+.f64 1/2 y))))) (-.f64 1/4 (*.f64 y (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/64 (pow.f64 (*.f64 y (+.f64 1/2 y)) 3))) (+.f64 1/16 (-.f64 (*.f64 (*.f64 y (+.f64 1/2 y)) (*.f64 y (+.f64 1/2 y))) (*.f64 1/4 (*.f64 y (+.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 -1 x) (+.f64 -1/2 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (+.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 2))) (-.f64 1 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) (-.f64 1 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (-.f64 1/2 y)) (exp.f64 (log1p.f64 (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 2) (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)))) (#(struct:change 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y 3) (pow.f64 y 3)))) (+.f64 1/8 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y))) (-.f64 1/512 (pow.f64 (pow.f64 y 3) 3))) (+.f64 1/64 (+.f64 (*.f64 (pow.f64 y 3) (pow.f64 y 3)) (*.f64 1/8 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1/2 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1/2 y) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (-.f64 1/2 y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1/2 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1/2 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 1/2 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 1/2 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1/2 y))))))))

simplify179.0ms (1.9%)

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

Useful iterations: 1 (0.0ms)

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.7b
(log1p.f64 (exp.f64 x))
Compiler

Compiled 8 to 4 computations (50% saved)

eval518.0ms (5.4%)

Compiler

Compiled 14628 to 10066 computations (31.2% saved)

prune242.0ms (2.5%)

Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New7017708
Fresh235
Picked011
Done246
Total70515720
Error
0.6b
Counts
720 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
54.0b
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
55.5b
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
45.2b
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
21.1b
(-.f64 (+.f64 (log.f64 2) (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))) 1)
7.7b
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
7.2b
(-.f64 (log.f64 2) (*.f64 x y))
28.6b
(+.f64 (/.f64 x 2) (log.f64 2))
20.6b
(+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
35.5b
(*.f64 x (neg.f64 y))
61.9b
(*.f64 1/2 x)
29.1b
(log1p.f64 (+.f64 x 1))
27.9b
(log1p.f64 (exp.f64 x))
29.1b
(log.f64 (+.f64 2 x))
28.7b
(log.f64 2)
52.4b
(fabs.f64 (*.f64 x (-.f64 1/2 y)))
Compiler

Compiled 220 to 174 computations (20.9% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 39 to 28 computations (28.2% saved)

series4.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite113.0ms (1.2%)

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
01353
127449
2326149
Stop Event
node limit
Counts
3 → 173
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))
(log1p.f64 (*.f64 (-.f64 1/2 y) x))
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 1/4 (*.f64 y (+.f64 1/2 y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.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 (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 x (-.f64 1/4 (*.f64 (neg.f64 y) (neg.f64 y)))) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1/8 (pow.f64 (neg.f64 y) 3))) (-.f64 (+.f64 1/4 (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 1/2 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (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 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))) (cbrt.f64 (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/8 (pow.f64 y 3)))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 (neg.f64 y) (neg.f64 y))) x) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1/4 (*.f64 y y))) x) (neg.f64 (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.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 (+.f64 1/2 y)))))) (cbrt.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))))) (#(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)))))))
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simplify184.0ms (1.9%)

Algorithm
egg-herbie
Rules
1158×associate-+r-
760×associate-/l*
724×associate-*r*
686×fma-def
672×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054611399
116089877
278179877
Stop Event
node limit
Counts
245 → 326
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))
(log.f64 (+.f64 (*.f64 1/2 x) 1))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 (*.f64 1/2 x) 1))) (log.f64 (+.f64 (*.f64 1/2 x) 1)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 (*.f64 1/2 x) 1))) (+.f64 (log.f64 (+.f64 (*.f64 1/2 x) 1)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 (*.f64 1/2 x) 1))) (+.f64 (log.f64 (+.f64 (*.f64 1/2 x) 1)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 3)) (pow.f64 (+.f64 (*.f64 1/2 x) 1) 3))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2))))))
(+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 x) 1) (*.f64 y x))) (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 x) 1) (*.f64 y x))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 x) 1) (*.f64 y x))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) y)) (log.f64 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) y)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (log.f64 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) y)) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (log.f64 x)))))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2))) (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 1/2 y) 4) (pow.f64 x 4))))))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 (*.f64 (-.f64 1/2 y) x))))
(-.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 (*.f64 (-.f64 1/2 y) x)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3)))) (/.f64 1 (*.f64 (-.f64 1/2 y) x))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 (*.f64 (-.f64 1/2 y) x)) (log.f64 (*.f64 -1 (-.f64 1/2 y)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 (*.f64 (-.f64 1/2 y) x)) (log.f64 (*.f64 -1 (-.f64 1/2 y))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 (-.f64 1/2 y) x)) (log.f64 (*.f64 -1 (-.f64 1/2 y)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 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)))
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(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) 1) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) 1) (neg.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) 1) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (-.f64 1/2 y) x) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (sqrt.f64 (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (-.f64 1/2 y) x) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))))
(/.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 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 (-.f64 1/2 y) x) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (*.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 2) 2))) (/.f64 1 (-.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 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (*.f64 (pow.f64 (log.f64 2) 2) (+.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 (log.f64 2) 2) (*.f64 (*.f64 (-.f64 1/2 y) x) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))))) (-.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 (log.f64 2) 2) (*.f64 (*.f64 (-.f64 1/2 y) x) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))))) (+.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (-.f64 (*.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 2) 3)) (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)))))
(/.f64 (/.f64 (-.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 (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 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (sqrt.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)))))) (sqrt.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 (-.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))))))
(pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(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 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))) 1)
(*.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)) 1)
(*.f64 1 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (sqrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 2) (cbrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))))
(pow.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)) 2))
(log.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (neg.f64 (*.f64 x 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)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (+.f64 (*.f64 1/2 x) 1))
(log.f64 (fma.f64 1/2 x 1))
(log1p.f64 (*.f64 1/2 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 (*.f64 1/2 x) 1))) (log.f64 (+.f64 (*.f64 1/2 x) 1)))
(fma.f64 -1 (/.f64 (*.f64 x y) (fma.f64 1/2 x 1)) (log.f64 (fma.f64 1/2 x 1)))
(-.f64 (log1p.f64 (*.f64 1/2 x)) (*.f64 (/.f64 y (fma.f64 1/2 x 1)) x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 (*.f64 1/2 x) 1))) (+.f64 (log.f64 (+.f64 (*.f64 1/2 x) 1)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2)))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 x y) (fma.f64 1/2 x 1)) (log.f64 (fma.f64 1/2 x 1))) (/.f64 (*.f64 -1/2 (*.f64 (*.f64 x x) (*.f64 y y))) (pow.f64 (fma.f64 1/2 x 1) 2)))
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(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 3) (pow.f64 (pow.f64 (log.f64 2) 3) 3)) (+.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 (pow.f64 (*.f64 x (-.f64 1/2 y)) 6) (-.f64 (pow.f64 (log.f64 2) 6) (*.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 3) (pow.f64 (pow.f64 (log.f64 2) 3) 3)) (fma.f64 (-.f64 1/2 y) (*.f64 x (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2)))) (pow.f64 (log.f64 2) 2))) (fma.f64 (pow.f64 (log.f64 2) 3) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (pow.f64 (*.f64 x (-.f64 1/2 y)) 6)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) 1) (-.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(/.f64 (/.f64 (-.f64 (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 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (*.f64 (cbrt.f64 (-.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 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (+.f64 (sqrt.f64 (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 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (+.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (log.f64 2)))) (-.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (log.f64 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) 1) (+.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)))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (sqrt.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)))))) (sqrt.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)))
(/.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)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(fabs.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 1 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 (-.f64 1/2 y) x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))) 1)
(log1p.f64 (*.f64 x (-.f64 1/2 y)))
(*.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)) 1)
(log1p.f64 (*.f64 x (-.f64 1/2 y)))
(*.f64 1 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
(log1p.f64 (*.f64 x (-.f64 1/2 y)))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (sqrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))))
(log1p.f64 (*.f64 x (-.f64 1/2 y)))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(log1p.f64 (*.f64 x (-.f64 1/2 y)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 2) (cbrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))))
(log1p.f64 (*.f64 x (-.f64 1/2 y)))
(pow.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)) 1)
(log1p.f64 (*.f64 x (-.f64 1/2 y)))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 2)
(log1p.f64 (*.f64 x (-.f64 1/2 y)))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 3)
(log1p.f64 (*.f64 x (-.f64 1/2 y)))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)) 3) 1/3)
(log1p.f64 (*.f64 x (-.f64 1/2 y)))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)) 2))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))) 2))
(fabs.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(log.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1))
(log1p.f64 (*.f64 x (-.f64 1/2 y)))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)) 3))
(log1p.f64 (*.f64 x (-.f64 1/2 y)))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))))
(log1p.f64 (*.f64 x (-.f64 1/2 y)))
(exp.f64 (log.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))))
(log1p.f64 (*.f64 x (-.f64 1/2 y)))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
5.2b
(*.f64 x (-.f64 1/4 (*.f64 y y)))
7.4b
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
Compiler

Compiled 35 to 18 computations (48.6% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite78.0ms (0.8%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01150
125038
2347232
Stop Event
node limit
Counts
2 → 123
Calls
Call 1
Inputs
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 x (/.f64 1 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (/.f64 1 (+.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (-.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) (*.f64 (sqrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) (/.f64 1 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 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simplify105.0ms (1.1%)

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

Useful iterations: 1 (0.0ms)

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

localize4.0ms (0%)

Compiler

Compiled 5 to 5 computations (0% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 19 to 12 computations (36.8% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite53.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1598×add-sqr-sqrt
1578×*-un-lft-identity
1476×add-cube-cbrt
1460×add-cbrt-cube
1446×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
115113
2190113
Stop Event
node limit
Counts
1 → 18
Calls
Call 1
Inputs
(*.f64 x (-.f64 1/2 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (-.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))))

simplify58.0ms (0.6%)

Algorithm
egg-herbie
Rules
1004×fma-def
882×*-commutative
746×associate-*r*
650×associate-*l*
626×distribute-lft-out
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064632
1150624
2458624
32568624
45287624
Stop Event
node limit
Counts
42 → 30
Calls
Call 1
Inputs
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 1/2 x) (*.f64 (neg.f64 y) x))
(-.f64 (+.f64 1 (*.f64 x (-.f64 1/2 y))) 1)
(/.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 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
Outputs
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 (neg.f64 y) x))
(*.f64 (-.f64 1/2 y) x)
(-.f64 (+.f64 1 (*.f64 x (-.f64 1/2 y))) 1)
(*.f64 (-.f64 1/2 y) x)
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 x (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 1/2 y)))
(*.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 x (/.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y))) (-.f64 1/8 (pow.f64 y 3))))
(*.f64 (/.f64 x (fma.f64 y (+.f64 1/2 y) 1/4)) (-.f64 1/8 (pow.f64 y 3)))
(*.f64 x (/.f64 (-.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 1/2 y) 1/4)))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 x (/.f64 (fma.f64 y (neg.f64 y) 1/4) (+.f64 1/2 y)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))
(/.f64 x (/.f64 (+.f64 1/4 (*.f64 y (+.f64 1/2 y))) (-.f64 1/8 (pow.f64 y 3))))
(*.f64 (/.f64 x (fma.f64 y (+.f64 1/2 y) 1/4)) (-.f64 1/8 (pow.f64 y 3)))
(*.f64 x (/.f64 (-.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 1/2 y) 1/4)))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(*.f64 (-.f64 1/2 y) x)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(*.f64 (-.f64 1/2 y) x)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(*.f64 (-.f64 1/2 y) x)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(*.f64 (-.f64 1/2 y) x)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(*.f64 (-.f64 1/2 y) x)
(log.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x))
(*.f64 (-.f64 1/2 y) x)
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(*.f64 (-.f64 1/2 y) x)
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (-.f64 1/2 y) x)
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (-.f64 1/2 y) x)
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1))
(*.f64 (-.f64 1/2 y) x)
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (-.f64 1/2 y) x)

eval273.0ms (2.8%)

Compiler

Compiled 13330 to 9947 computations (25.4% saved)

prune122.0ms (1.3%)

Pruning

25 alts after pruning (19 fresh and 6 done)

PrunedKeptTotal
New58714601
Fresh055
Picked101
Done369
Total59125616
Error
0.6b
Counts
616 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
55.5b
(/.f64 (/.f64 1 (/.f64 (/.f64 1 x) (-.f64 1/4 (*.f64 y y)))) (+.f64 1/2 y))
54.0b
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
52.9b
(/.f64 (*.f64 (*.f64 y x) (neg.f64 y)) (+.f64 1/2 y))
62.0b
(/.f64 (*.f64 1/4 x) (+.f64 1/2 y))
55.5b
(/.f64 (neg.f64 (*.f64 x (*.f64 y y))) (+.f64 1/2 y))
45.2b
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
11.8b
(-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 2) (+.f64 1 (-.f64 1 (log.f64 2))))
11.3b
(-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) (-.f64 1 (log.f64 2)))
21.1b
(-.f64 (+.f64 (log.f64 2) (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))) 1)
7.2b
(-.f64 (log.f64 2) (*.f64 x y))
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))
28.6b
(+.f64 (/.f64 x 2) (log.f64 2))
11.3b
(+.f64 (-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 2) 2) (log.f64 2))
62.5b
(+.f64 (expm1.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 (*.f64 (-.f64 1/2 y) x))))) (log.f64 2))
55.8b
(+.f64 (expm1.f64 (+.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) (/.f64 (/.f64 1 x) (-.f64 1/2 y)))) (log.f64 2))
29.1b
(+.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 x))) (log.f64 2))
55.5b
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 x (-.f64 1/4 (*.f64 y y))))
35.5b
(*.f64 x (neg.f64 y))
61.9b
(*.f64 1/2 x)
29.1b
(log1p.f64 (+.f64 x 1))
27.9b
(log1p.f64 (exp.f64 x))
29.1b
(log.f64 (+.f64 2 x))
28.7b
(log.f64 2)
53.1b
(fabs.f64 (-.f64 (+.f64 1 (*.f64 x (-.f64 1/2 y))) 1))
61.0b
(fabs.f64 (*.f64 1/2 x))
Compiler

Compiled 296 to 237 computations (19.9% saved)

regimes60.0ms (0.6%)

Counts
39 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 (*.f64 1/4 x) (+.f64 1/2 y))
(/.f64 (neg.f64 (*.f64 x (*.f64 y y))) (+.f64 1/2 y))
(/.f64 (*.f64 (*.f64 y x) (neg.f64 y)) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 x (-.f64 1/4 (*.f64 y y))))
(/.f64 (/.f64 1 (/.f64 (/.f64 1 x) (-.f64 1/4 (*.f64 y y)))) (+.f64 1/2 y))
(log.f64 2)
(fabs.f64 (*.f64 1/2 x))
(log.f64 (+.f64 2 x))
(log1p.f64 (+.f64 x 1))
(fabs.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (/.f64 x 2) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fabs.f64 (-.f64 (+.f64 1 (*.f64 x (-.f64 1/2 y))) 1))
(+.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))) (log.f64 2))
(+.f64 (-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 2) 2) (log.f64 2))
(-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) (-.f64 1 (log.f64 2)))
(+.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) (log.f64 2))
(-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 2) (+.f64 1 (-.f64 1 (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))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 2))) (*.f64 x y))
(+.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 x))) (log.f64 2))
(+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) (*.f64 x y))
(-.f64 (+.f64 (log.f64 2) (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))) 1)
(+.f64 (expm1.f64 (+.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) (/.f64 (/.f64 1 x) (-.f64 1/2 y)))) (log.f64 2))
(+.f64 (expm1.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 (*.f64 (-.f64 1/2 y) x))))) (log.f64 2))
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Calls

3 calls:

19.0ms
x
18.0ms
y
12.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Results
ErrorSegmentsBranch
0.8b1x
0.8b1y
0.8b1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 387 to 273 computations (29.5% saved)

regimes51.0ms (0.5%)

Counts
29 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 (*.f64 1/4 x) (+.f64 1/2 y))
(/.f64 (neg.f64 (*.f64 x (*.f64 y y))) (+.f64 1/2 y))
(/.f64 (*.f64 (*.f64 y x) (neg.f64 y)) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 x (-.f64 1/4 (*.f64 y y))))
(/.f64 (/.f64 1 (/.f64 (/.f64 1 x) (-.f64 1/4 (*.f64 y y)))) (+.f64 1/2 y))
(log.f64 2)
(fabs.f64 (*.f64 1/2 x))
(log.f64 (+.f64 2 x))
(log1p.f64 (+.f64 x 1))
(fabs.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (/.f64 x 2) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fabs.f64 (-.f64 (+.f64 1 (*.f64 x (-.f64 1/2 y))) 1))
(+.f64 (/.f64 x (/.f64 1 (-.f64 1/2 y))) (log.f64 2))
(+.f64 (-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 2) 2) (log.f64 2))
(-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 1) (-.f64 1 (log.f64 2)))
(+.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x)) (log.f64 2))
(-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) 2) (+.f64 1 (-.f64 1 (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))
Outputs
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
Calls

2 calls:

30.0ms
x
14.0ms
y
Results
ErrorSegmentsBranch
1.4b2x
7.2b1y
Compiler

Compiled 261 to 184 computations (29.5% saved)

bsearch11.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
11.0ms
-2.7753884777474345
-0.7831777144464832
Results
10.0ms80×body256valid
Compiler

Compiled 106 to 82 computations (22.6% saved)

regimes37.0ms (0.4%)

Counts
19 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 (*.f64 1/4 x) (+.f64 1/2 y))
(/.f64 (neg.f64 (*.f64 x (*.f64 y y))) (+.f64 1/2 y))
(/.f64 (*.f64 (*.f64 y x) (neg.f64 y)) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 x (-.f64 1/4 (*.f64 y y))))
(/.f64 (/.f64 1 (/.f64 (/.f64 1 x) (-.f64 1/4 (*.f64 y y)))) (+.f64 1/2 y))
(log.f64 2)
(fabs.f64 (*.f64 1/2 x))
(log.f64 (+.f64 2 x))
(log1p.f64 (+.f64 x 1))
(fabs.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (/.f64 x 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:

22.0ms
x
9.0ms
y
Results
ErrorSegmentsBranch
1.6b2x
7.2b1y
Compiler

Compiled 142 to 93 computations (34.5% saved)

bsearch29.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
28.0ms
-3569292395.860914
-426055888.29404205
Results
14.0ms28×body1024valid
9.0ms59×body256valid
3.0msbody2048valid
2.0msbody512valid
Compiler

Compiled 112 to 84 computations (25% saved)

regimes131.0ms (1.4%)

Counts
18 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 (*.f64 1/4 x) (+.f64 1/2 y))
(/.f64 (neg.f64 (*.f64 x (*.f64 y y))) (+.f64 1/2 y))
(/.f64 (*.f64 (*.f64 y x) (neg.f64 y)) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 x (-.f64 1/4 (*.f64 y y))))
(/.f64 (/.f64 1 (/.f64 (/.f64 1 x) (-.f64 1/4 (*.f64 y y)))) (+.f64 1/2 y))
(log.f64 2)
(fabs.f64 (*.f64 1/2 x))
(log.f64 (+.f64 2 x))
(log1p.f64 (+.f64 x 1))
(fabs.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (/.f64 x 2) (log.f64 2))
Outputs
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (log.f64 2))
Calls

2 calls:

68.0ms
y
59.0ms
x
Results
ErrorSegmentsBranch
12.6b2x
16.9b7y
Compiler

Compiled 136 to 89 computations (34.6% saved)

bsearch51.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
51.0ms
-3.294797284652631e-7
-1.75841212655141e-12
Results
49.0ms144×body256valid
Compiler

Compiled 160 to 129 computations (19.4% saved)

regimes77.0ms (0.8%)

Counts
16 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 1 (-.f64 1/2 y)))
(/.f64 (*.f64 1/4 x) (+.f64 1/2 y))
(/.f64 (neg.f64 (*.f64 x (*.f64 y y))) (+.f64 1/2 y))
(/.f64 (*.f64 (*.f64 y x) (neg.f64 y)) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 x (-.f64 1/4 (*.f64 y y))))
(/.f64 (/.f64 1 (/.f64 (/.f64 1 x) (-.f64 1/4 (*.f64 y y)))) (+.f64 1/2 y))
(log.f64 2)
(fabs.f64 (*.f64 1/2 x))
(log.f64 (+.f64 2 x))
(log1p.f64 (+.f64 x 1))
(fabs.f64 (*.f64 x (-.f64 1/2 y)))
Outputs
(*.f64 x (neg.f64 y))
(log.f64 (+.f64 2 x))
Calls

2 calls:

57.0ms
y
17.0ms
x
Results
ErrorSegmentsBranch
12.6b2x
18.1b5y
Compiler

Compiled 124 to 79 computations (36.3% saved)

bsearch20.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
-3.294797284652631e-7
-1.75841212655141e-12
Results
18.0ms144×body256valid
Compiler

Compiled 142 to 111 computations (21.8% saved)

regimes60.0ms (0.6%)

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

2 calls:

42.0ms
y
15.0ms
x
Results
ErrorSegmentsBranch
12.8b2x
18.1b5y
Compiler

Compiled 110 to 69 computations (37.3% saved)

bsearch20.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
-3.294797284652631e-7
-1.75841212655141e-12
Results
18.0ms144×body256valid
Compiler

Compiled 124 to 102 computations (17.7% saved)

regimes19.0ms (0.2%)

Accuracy

Total -27.4b remaining (-77.3%)

Threshold costs -27.4b (-77.3%)

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

2 calls:

9.0ms
x
7.0ms
y
Results
ErrorSegmentsBranch
35.5b1x
35.5b1y
Compiler

Compiled 104 to 64 computations (38.5% saved)

simplify10.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
040212
159212
271212
376212
478212
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -430000000) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -3022314549036573/604462909807314587353088) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 1/2 x) (log.f64 2)))
(if (<=.f64 x -4986819005910345/302231454903657293676544) (*.f64 x (neg.f64 y)) (log.f64 (+.f64 2 x)))
(if (<=.f64 x -2011652563838743/154742504910672534362390528) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -3152519739159347/2251799813685248) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -430000000) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -3022314549036573/604462909807314587353088) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 1/2 x) (log.f64 2)))
(if (<=.f64 x -3022314549036573/604462909807314587353088) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x 1/2)))
(if (<=.f64 x -4986819005910345/302231454903657293676544) (*.f64 x (neg.f64 y)) (log.f64 (+.f64 2 x)))
(if (<=.f64 x -4986819005910345/302231454903657293676544) (*.f64 x (neg.f64 y)) (log.f64 (+.f64 x 2)))
(if (<=.f64 x -2011652563838743/154742504910672534362390528) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)
Compiler

Compiled 96 to 69 computations (28.1% saved)

soundness184.0ms (1.9%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 18 to 10 computations (44.4% saved)

end50.0ms (0.5%)

Compiler

Compiled 82 to 44 computations (46.3% saved)

Profiling

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